Table of spherical codes

Maintained by Henry Cohn

This data is archived at https://hdl.handle.net/1721.1/153543. If you cite the table, please refer to that data set, not this web page.

A spherical code is a configuration of points on the surface of a sphere, with the goal of maximizing the minimal angle between the points. The following table lists numerically optimized codes, with cases that are known to be optimal marked with *. Each entry links to coordinates for the code. Along with references, in some cases the table lists the minimal polynomial of the cosine of the minimal angle, in which case a code with this exact angle has been proved to exist.

The table is limited to 32 dimensions and 1024 points, with a few exceptions. It omits cases that have been systematically solved, namely dimensions below three and n-dimensional codes with at most 2n points (see R. A. Rankin, The closest packing of spherical caps in n dimensions, Proc. Glasgow Math. Assoc. 2 (1955), 139–144, doi:10.1017/S2040618500033219). The entries labeled “needs more optimization” have not fully converged to a local optimum, while most of the others probably have. There are two records listed in Ericson and Zinoviev's book (Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001) that I have not included below: for 80 points in 7 dimensions, their construction describes only 78 points, and for 1024 points in 16 dimensions, I am unable to get their construction to work.

You can access a plain text table here, which includes some polynomials too large to fit below, and upload additions or improvements here.

Dimension Number of points Cosine of minimal angle References and notes
3 7* 0.210138312731 K. Schütte and B. L. van der Waerden, Auf welcher Kugel haben 5, 6, 7, 8 oder 9 Punkte mit Mindestabstand Eins Platz?, Math. Ann. 123 (1951), 96–124, doi:10.1007/BF02054944.
3⁢x3−9⁢x2−3⁢x+1
3 8* 0.261203874964 K. Schütte and B. L. van der Waerden, Auf welcher Kugel haben 5, 6, 7, 8 oder 9 Punkte mit Mindestabstand Eins Platz?, Math. Ann. 123 (1951), 96–124, doi:10.1007/BF02054944.
7⁢x2+2⁢x−1
3 9* 0.333333333334 K. Schütte and B. L. van der Waerden, Auf welcher Kugel haben 5, 6, 7, 8 oder 9 Punkte mit Mindestabstand Eins Platz?, Math. Ann. 123 (1951), 96–124, doi:10.1007/BF02054944.
3⁢x−1
3 10* 0.404394325217 K. Schütte and B. L. van der Waerden, Auf welcher Kugel haben 5, 6, 7, 8 oder 9 Punkte mit Mindestabstand Eins Platz?, Math. Ann. 123 (1951), 96–124, doi:10.1007/BF02054944; L. Danzer, Finite point-sets on S2 with minimum distance as large as possible, Discrete Math. 60 (1986), 3–66, doi:10.1016/0012-365X(86)90002-6.
7⁢x3−4⁢x2−2⁢x+1
3 11* 0.447213595500 K. Schütte and B. L. van der Waerden, Auf welcher Kugel haben 5, 6, 7, 8 oder 9 Punkte mit Mindestabstand Eins Platz?, Math. Ann. 123 (1951), 96–124, doi:10.1007/BF02054944; L. Danzer, Finite point-sets on S2 with minimum distance as large as possible, Discrete Math. 60 (1986), 3–66, doi:10.1016/0012-365X(86)90002-6.
5⁢x2−1
3 12* 0.447213595500 L. Fejes [Tóth], Über eine Abschätzung des kürzesten Abstandes zweier Punkte eines auf einer Kugelfläche liegenden Punktsystems, Jber. Deutsch. Math.-Verein. 53 (1943), 66–68.
5⁢x2−1
3 13* 0.542636486830 K. Schütte and B. L. van der Waerden, Auf welcher Kugel haben 5, 6, 7, 8 oder 9 Punkte mit Mindestabstand Eins Platz?, Math. Ann. 123 (1951), 96–124, doi:10.1007/BF02054944; O. R. Musin and A. S. Tarasov, The strong thirteen spheres problem, Discrete Comput. Geom. 48 (2012), 128–141, doi:10.1007/s00454-011-9392-2.
x8−24⁢x7−12⁢x6+8⁢x5+38⁢x4+24⁢x3−12⁢x2−8⁢x+1
3 14* 0.563950300361 K. Schütte and B. L. van der Waerden, Auf welcher Kugel haben 5, 6, 7, 8 oder 9 Punkte mit Mindestabstand Eins Platz?, Math. Ann. 123 (1951), 96–124, doi:10.1007/BF02054944; O. R. Musin and A. S. Tarasov, The Tammes problem for N=14, Exp. Math. 24 (2015), 460–468, doi:10.1080/10586458.2015.1022842.
4⁢x4−2⁢x3+3⁢x2−1
3 15* 0.592605902926 K. Schütte and B. L. van der Waerden, Auf welcher Kugel haben 5, 6, 7, 8 oder 9 Punkte mit Mindestabstand Eins Platz?, Math. Ann. 123 (1951), 96–124, doi:10.1007/BF02054944; D. A. Kottwitz, The densest packing of equal circles on a sphere, Acta Cryst. Sect. A 47 (1991), 158–165, doi:10.1107/S0108767390011370; mt0-svg, The Tammes problem for fifteen points, preprint, 2026, doi:10.5281/zenodo.23450670, https://github.com/mt0-svg/tammes-15.
13⁢x5−x4+6⁢x3+2⁢x2−3⁢x−1
3 16 0.612294616483 K. Schütte and B. L. van der Waerden, Auf welcher Kugel haben 5, 6, 7, 8 oder 9 Punkte mit Mindestabstand Eins Platz?, Math. Ann. 123 (1951), 96–124, doi:10.1007/BF02054944.
23⁢x6+6⁢x5+5⁢x4+4⁢x3−3⁢x2−2⁢x−1
3 17 0.628094415071 L. Danzer, Finite point-sets on S2 with minimum distance as large as possible, Discrete Math. 60 (1986), 3–66, doi:10.1016/0012-365X(86)90002-6.
4⁢x10−92⁢x9+24⁢x8+128⁢x7−58⁢x6−78⁢x5+35⁢x4+32⁢x3−4⁢x2−6⁢x−1
3 18 0.648695832224 T. Tarnai and Zs. Gáspár, Improved packing of equal circles on a sphere and rigidity of its graph, Math. Proc. Cambridge Philos. Soc. 93 (1983), 191–218, doi:10.1017/S0305004100060485.
216⁢x11+108⁢x10+118⁢x9+209⁢x8−100⁢x7−160⁢x6+40⁢x5+46⁢x4−20⁢x3−12⁢x2+2⁢x+1
3 19 0.673116887561 D. E. Lazić, V. Šenk, and I. Šeškar, Arrangements of points on a sphere which maximize the least distance, Bull. Appl. Math. (Technical University Budapest) 47 (1987), 7–21.
Minimal polynomial listed in plain text data
3 20 0.676477138130 B. L. van der Waerden, Punkte auf der Kugel. Drei Zusätze, Math. Ann. 125 (1952), 213–222, doi:10.1007/BF01343118.
21⁢x3−9⁢x2−5⁢x+1
3 21 0.699498431067 D. A. Kottwitz, The densest packing of equal circles on a sphere, Acta Cryst. Sect. A 47 (1991), 158–165, doi:10.1107/S0108767390011370.
3 22 0.710306258580 D. A. Kottwitz, The densest packing of equal circles on a sphere, Acta Cryst. Sect. A 47 (1991), 158–165, doi:10.1107/S0108767390011370.
Minimal polynomial listed in plain text data
3 23 0.722846984869 T. Tarnai and Zs. Gáspár, Arrangement of 23 points on a sphere (on a conjecture of R. M. Robinson), Proc. Roy. Soc. London Ser. A 433 (1991), 257–267, doi:10.1098/rspa.1991.0046.
3 24* 0.723078468334 R. M. Robinson, Arrangements of 24 points on a sphere, Math. Ann. 144 (1961), 17–48, doi:10.1007/BF01396539.
7⁢x3+x2−3⁢x−1
3 25 0.747398628578 D. A. Kottwitz, The densest packing of equal circles on a sphere, Acta Cryst. Sect. A 47 (1991), 158–165, doi:10.1107/S0108767390011370.
Minimal polynomial listed in plain text data
3 26 0.754278177121 D. A. Kottwitz, The densest packing of equal circles on a sphere, Acta Cryst. Sect. A 47 (1991), 158–165, doi:10.1107/S0108767390011370.
Minimal polynomial listed in plain text data
3 27 0.758389210777 T. Tarnai and Zs. Gáspár, Improved packing of equal circles on a sphere and rigidity of its graph, Math. Proc. Cambridge Philos. Soc. 93 (1983), 191–218, doi:10.1017/S0305004100060485.
Minimal polynomial listed in plain text data
3 28 0.773230262338 D. A. Kottwitz, The densest packing of equal circles on a sphere, Acta Cryst. Sect. A 47 (1991), 158–165, doi:10.1107/S0108767390011370.
3 29 0.780281415949 D. A. Kottwitz, The densest packing of equal circles on a sphere, Acta Cryst. Sect. A 47 (1991), 158–165, doi:10.1107/S0108767390011370.
3 30 0.781551875095 B. W. Clare and D. L. Kepert, The closest packing of equal circles on a sphere, Proc. Roy. Soc. London Ser. A 405 (1986), 329–344, doi:10.1098/rspa.1986.0056.
Minimal polynomial listed in plain text data
3 31 0.791118613299 J. Strohmajer, Über die Verteilung von Punkten auf der Kugel, Ann. Univ. Sci. Budapest. Eötvös Sect. Math. 6 (1963), 49–53.
Minimal polynomial listed in plain text data
3 32 0.793616614872 L. Danzer, Finite point-sets on S2 with minimum distance as large as possible, Discrete Math. 60 (1986), 3–66, doi:10.1016/0012-365X(86)90002-6.
Minimal polynomial listed in plain text data
3 33 0.806397613648 D. A. Kottwitz, The densest packing of equal circles on a sphere, Acta Cryst. Sect. A 47 (1991), 158–165, doi:10.1107/S0108767390011370.
3 34 0.810984337204 D. A. Kottwitz, The densest packing of equal circles on a sphere, Acta Cryst. Sect. A 47 (1991), 158–165, doi:10.1107/S0108767390011370.
3 35 0.815937771500 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
3 36 0.817248185290 D. A. Kottwitz, The densest packing of equal circles on a sphere, Acta Cryst. Sect. A 47 (1991), 158–165, doi:10.1107/S0108767390011370.
3 37 0.824892480240 D. A. Kottwitz, The densest packing of equal circles on a sphere, Acta Cryst. Sect. A 47 (1991), 158–165, doi:10.1107/S0108767390011370.
3 38 0.826583259422 E. Székely, Sur le problème de Tammes, Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae 17 (1974), 157–175, http://annalesm.elte.hu/annales17-1974/Annales_1974_T-XVII.pdf.
363⁢x14+7685⁢x12+34299⁢x10−77139⁢x8+68985⁢x6−31833⁢x4+6561⁢x2−729
3 39 0.833991322411 D. A. Kottwitz, The densest packing of equal circles on a sphere, Acta Cryst. Sect. A 47 (1991), 158–165, doi:10.1107/S0108767390011370.
3 40 0.837162072474 B. W. Clare and D. L. Kepert, The closest packing of equal circles on a sphere, Proc. Roy. Soc. London Ser. A 405 (1986), 329–344, doi:10.1098/rspa.1986.0056.
3 41 0.841236343029 D. A. Kottwitz, The densest packing of equal circles on a sphere, Acta Cryst. Sect. A 47 (1991), 158–165, doi:10.1107/S0108767390011370.
3 42 0.843331551639 E. Székely, Sur le problème de Tammes, Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae 17 (1974), 157–175, http://annalesm.elte.hu/annales17-1974/Annales_1974_T-XVII.pdf.
Minimal polynomial listed in plain text data
3 43 0.847208865437 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
3 44 0.848201378305 D. A. Kottwitz, The densest packing of equal circles on a sphere, Acta Cryst. Sect. A 47 (1991), 158–165, doi:10.1107/S0108767390011370.
3 45 0.854249474082 D. A. Kottwitz, The densest packing of equal circles on a sphere, Acta Cryst. Sect. A 47 (1991), 158–165, doi:10.1107/S0108767390011370.
3 46 0.857534166865 D. A. Kottwitz, The densest packing of equal circles on a sphere, Acta Cryst. Sect. A 47 (1991), 158–165, doi:10.1107/S0108767390011370.
3 47 0.859122361410 D. A. Kottwitz, The densest packing of equal circles on a sphere, Acta Cryst. Sect. A 47 (1991), 158–165, doi:10.1107/S0108767390011370.
3 48 0.859292295076 R. M. Robinson, Finite sets of points on a sphere with each nearest to five others, Math. Ann. 179 (1969), 296–318, doi:10.1007/BF01350775.
34⁢x5+15⁢x4−12⁢x3−14⁢x2−6⁢x−1
3 49 0.866691479049 D. A. Kottwitz, The densest packing of equal circles on a sphere, Acta Cryst. Sect. A 47 (1991), 158–165, doi:10.1107/S0108767390011370.
3 50 0.868173209127 E. Székely, Sur le problème de Tammes, Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae 17 (1974), 157–175, http://annalesm.elte.hu/annales17-1974/Annales_1974_T-XVII.pdf.
Minimal polynomial listed in plain text data
3 51 0.871484364931 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
3 52 0.872966708781 D. A. Kottwitz, The densest packing of equal circles on a sphere, Acta Cryst. Sect. A 47 (1991), 158–165, doi:10.1107/S0108767390011370.
Minimal polynomial listed in plain text data
3 53 0.876189803956 D. A. Kottwitz, The densest packing of equal circles on a sphere, Acta Cryst. Sect. A 47 (1991), 158–165, doi:10.1107/S0108767390011370.
3 54 0.877004306358 D. A. Kottwitz, The densest packing of equal circles on a sphere, Acta Cryst. Sect. A 47 (1991), 158–165, doi:10.1107/S0108767390011370.
3 55 0.880785046525 D. A. Kottwitz, The densest packing of equal circles on a sphere, Acta Cryst. Sect. A 47 (1991), 158–165, doi:10.1107/S0108767390011370.
3 56 0.881731578410 D. A. Kottwitz, The densest packing of equal circles on a sphere, Acta Cryst. Sect. A 47 (1991), 158–165, doi:10.1107/S0108767390011370.
3 57 0.884363737604 D. A. Kottwitz, The densest packing of equal circles on a sphere, Acta Cryst. Sect. A 47 (1991), 158–165, doi:10.1107/S0108767390011370.
3 58 0.886555745177 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
3 59 0.887855737148 D. A. Kottwitz, The densest packing of equal circles on a sphere, Acta Cryst. Sect. A 47 (1991), 158–165, doi:10.1107/S0108767390011370.
3 60 0.889473567590 D. A. Kottwitz, The densest packing of equal circles on a sphere, Acta Cryst. Sect. A 47 (1991), 158–165, doi:10.1107/S0108767390011370.
3 61 0.892008443283 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
3 62 0.893496850569 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996; J. Buddenhagen and D. A. Kottwitz, Multiplicity and symmetry breaking in (conjectured) densest packings of congruent circles on a circle, undated manuscript.
3 63 0.895036180815 D. A. Kottwitz, The densest packing of equal circles on a sphere, Acta Cryst. Sect. A 47 (1991), 158–165, doi:10.1107/S0108767390011370.
3 64 0.896988167538 D. A. Kottwitz, The densest packing of equal circles on a sphere, Acta Cryst. Sect. A 47 (1991), 158–165, doi:10.1107/S0108767390011370.
3 65 0.898259108584 D. A. Kottwitz, The densest packing of equal circles on a sphere, Acta Cryst. Sect. A 47 (1991), 158–165, doi:10.1107/S0108767390011370.
3 66 0.899195777484 D. A. Kottwitz, The densest packing of equal circles on a sphere, Acta Cryst. Sect. A 47 (1991), 158–165, doi:10.1107/S0108767390011370.
3 67 0.901198227760 D. A. Kottwitz, The densest packing of equal circles on a sphere, Acta Cryst. Sect. A 47 (1991), 158–165, doi:10.1107/S0108767390011370.
3 68 0.902856921522 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
3 69 0.903831506358 James Buddenhagen and D. A. Kottwitz, 1997.
3 70 0.905043036803 D. A. Kottwitz, The densest packing of equal circles on a sphere, Acta Cryst. Sect. A 47 (1991), 158–165, doi:10.1107/S0108767390011370.
3 71 0.906396736776 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
3 72 0.906849285445 D. A. Kottwitz, The densest packing of equal circles on a sphere, Acta Cryst. Sect. A 47 (1991), 158–165, doi:10.1107/S0108767390011370.
3 73 0.909571628656 James Buddenhagen and D. A. Kottwitz, 1997.
3 74 0.910532623502 D. A. Kottwitz, 1997.
3 75 0.911390904652 D. A. Kottwitz, The densest packing of equal circles on a sphere, Acta Cryst. Sect. A 47 (1991), 158–165, doi:10.1107/S0108767390011370.
3 76 0.912633133084 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996; J. Buddenhagen and D. A. Kottwitz, Multiplicity and symmetry breaking in (conjectured) densest packings of congruent circles on a circle, undated manuscript.
3 77 0.913536344688 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996; K. J. Nurmela, Constructing spherical codes by global optimization methods, Research Report A32, Digital Systems Laboratory, Helsinki University of Technology, 1995, https://research.ics.aalto.fi/publications/info/bibdb.HUT-TCS-A32.shtml.
3 78 0.914034438768 D. A. Kottwitz, The densest packing of equal circles on a sphere, Acta Cryst. Sect. A 47 (1991), 158–165, doi:10.1107/S0108767390011370.
3 79 0.916195009441 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
3 80 0.916690360742 James Buddenhagen, 1997.
3 81 0.918117193791 D. A. Kottwitz, The densest packing of equal circles on a sphere, Acta Cryst. Sect. A 47 (1991), 158–165, doi:10.1107/S0108767390011370.
3 82 0.919172412416 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
3 83 0.919937881756 D. A. Kottwitz, The densest packing of equal circles on a sphere, Acta Cryst. Sect. A 47 (1991), 158–165, doi:10.1107/S0108767390011370.
3 84 0.920151698890 D. A. Kottwitz, The densest packing of equal circles on a sphere, Acta Cryst. Sect. A 47 (1991), 158–165, doi:10.1107/S0108767390011370.
3 85 0.922004026342 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
3 86 0.922710627798 D. A. Kottwitz, The densest packing of equal circles on a sphere, Acta Cryst. Sect. A 47 (1991), 158–165, doi:10.1107/S0108767390011370.
3 87 0.923567597265 D. A. Kottwitz, The densest packing of equal circles on a sphere, Acta Cryst. Sect. A 47 (1991), 158–165, doi:10.1107/S0108767390011370.
3 88 0.924093912593 D. A. Kottwitz, The densest packing of equal circles on a sphere, Acta Cryst. Sect. A 47 (1991), 158–165, doi:10.1107/S0108767390011370.
3 89 0.925099726146 D. A. Kottwitz, The densest packing of equal circles on a sphere, Acta Cryst. Sect. A 47 (1991), 158–165, doi:10.1107/S0108767390011370.
3 90 0.926173483336 D. A. Kottwitz, The densest packing of equal circles on a sphere, Acta Cryst. Sect. A 47 (1991), 158–165, doi:10.1107/S0108767390011370.
3 91 0.926844825210 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
3 92 0.927003416243 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
3 93 0.928418531906 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
3 94 0.928979461777 James Buddenhagen and D. A. Kottwitz, 1997.
3 95 0.929811497467 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
3 96 0.930285673249 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
3 97 0.931051674650 X. Lai, D. Yue, J.-K. Hao, F. Glover, and Z. Lü, Iterated dynamic neighborhood search for packing equal circles on a sphere, Comput. Oper. Res. 151 (2023), Paper No. 106121, 17 pp., doi:10.1016/j.cor.2022.106121.
3 98 0.931239991046 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
3 99 0.932727363300 James Buddenhagen and D. A. Kottwitz, 1997.
3 100 0.933385128903 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
3 101 0.934025767057 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
3 102 0.934480088172 James Buddenhagen and D. A. Kottwitz, 1997.
3 103 0.935207723062 James Buddenhagen and D. A. Kottwitz, 1997.
3 104 0.935711381000 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
3 105 0.936434497689 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
3 106 0.937042014619 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
3 107 0.937517802204 James Buddenhagen and D. A. Kottwitz, 1997.
3 108 0.937862018289 James Buddenhagen and D. A. Kottwitz, 1997.
3 109 0.938798085650 James Buddenhagen and D. A. Kottwitz, 1997.
3 110 0.939026290863 James Buddenhagen and D. A. Kottwitz, 1997.
3 111 0.939729959842 Henry Cohn, 2024.
3 112 0.940339774660 James Buddenhagen and D. A. Kottwitz, 1997.
3 113 0.940847649045 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
3 114 0.941205445297 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
3 115 0.941916896842 James Buddenhagen and D. A. Kottwitz, 1997.
3 116 0.942351017116 James Buddenhagen and D. A. Kottwitz, 1997.
3 117 0.942866795114 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996; J. Buddenhagen and D. A. Kottwitz, Multiplicity and symmetry breaking in (conjectured) densest packings of congruent circles on a circle, undated manuscript.
3 118 0.943283453359 X. Lai, D. Yue, J.-K. Hao, F. Glover, and Z. Lü, Iterated dynamic neighborhood search for packing equal circles on a sphere, Comput. Oper. Res. 151 (2023), Paper No. 106121, 17 pp., doi:10.1016/j.cor.2022.106121.
3 119 0.943651453299 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 120 0.943662307333 R. M. Robinson, Finite sets of points on a sphere with each nearest to five others, Math. Ann. 179 (1969), 296–318, doi:10.1007/BF01350775.
1364⁢x10+1230⁢x9−709⁢x8−1468⁢x7−688⁢x6+136⁢x5+286⁢x4+108⁢x3+4⁢x2−6⁢x−1
3 121 0.944678061273 Henry Cohn, 2024.
3 122 0.945086237318 X. Lai, D. Yue, J.-K. Hao, F. Glover, and Z. Lü, Iterated dynamic neighborhood search for packing equal circles on a sphere, Comput. Oper. Res. 151 (2023), Paper No. 106121, 17 pp., doi:10.1016/j.cor.2022.106121.
3 123 0.945482265531 James Buddenhagen and D. A. Kottwitz, 1997.
3 124 0.945780154584 James Buddenhagen and D. A. Kottwitz, 1997.
3 125 0.946395861103 Henry Cohn, 2026.
3 126 0.946752784732 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
3 127 0.947264465646 X. Lai, D. Yue, J.-K. Hao, F. Glover, and Z. Lü, Iterated dynamic neighborhood search for packing equal circles on a sphere, Comput. Oper. Res. 151 (2023), Paper No. 106121, 17 pp., doi:10.1016/j.cor.2022.106121.
3 128 0.947573544865 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
3 129 0.947971561157 James Buddenhagen and D. A. Kottwitz, 1997.
3 130 0.948266309315 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
3 131 0.948765511183 X. Lai, D. Yue, J.-K. Hao, F. Glover, and Z. Lü, Iterated dynamic neighborhood search for packing equal circles on a sphere, Comput. Oper. Res. 151 (2023), Paper No. 106121, 17 pp., doi:10.1016/j.cor.2022.106121.
3 132 0.948962593971 X. Lai, D. Yue, J.-K. Hao, F. Glover, and Z. Lü, Iterated dynamic neighborhood search for packing equal circles on a sphere, Comput. Oper. Res. 151 (2023), Paper No. 106121, 17 pp., doi:10.1016/j.cor.2022.106121.
3 133 0.949572658198 X. Lai, D. Yue, J.-K. Hao, F. Glover, and Z. Lü, Iterated dynamic neighborhood search for packing equal circles on a sphere, Comput. Oper. Res. 151 (2023), Paper No. 106121, 17 pp., doi:10.1016/j.cor.2022.106121.
3 134 0.949971678353 X. Lai, D. Yue, J.-K. Hao, F. Glover, and Z. Lü, Iterated dynamic neighborhood search for packing equal circles on a sphere, Comput. Oper. Res. 151 (2023), Paper No. 106121, 17 pp., doi:10.1016/j.cor.2022.106121.
3 135 0.950317557456 X. Lai, D. Yue, J.-K. Hao, F. Glover, and Z. Lü, Iterated dynamic neighborhood search for packing equal circles on a sphere, Comput. Oper. Res. 151 (2023), Paper No. 106121, 17 pp., doi:10.1016/j.cor.2022.106121.
3 136 0.950634777737 X. Lai, D. Yue, J.-K. Hao, F. Glover, and Z. Lü, Iterated dynamic neighborhood search for packing equal circles on a sphere, Comput. Oper. Res. 151 (2023), Paper No. 106121, 17 pp., doi:10.1016/j.cor.2022.106121.
3 137 0.951024783277 X. Lai, D. Yue, J.-K. Hao, F. Glover, and Z. Lü, Iterated dynamic neighborhood search for packing equal circles on a sphere, Comput. Oper. Res. 151 (2023), Paper No. 106121, 17 pp., doi:10.1016/j.cor.2022.106121.
3 138 0.951358398188 X. Lai, D. Yue, J.-K. Hao, F. Glover, and Z. Lü, Iterated dynamic neighborhood search for packing equal circles on a sphere, Comput. Oper. Res. 151 (2023), Paper No. 106121, 17 pp., doi:10.1016/j.cor.2022.106121.
3 139 0.951683443186 X. Lai, D. Yue, J.-K. Hao, F. Glover, and Z. Lü, Iterated dynamic neighborhood search for packing equal circles on a sphere, Comput. Oper. Res. 151 (2023), Paper No. 106121, 17 pp., doi:10.1016/j.cor.2022.106121.
3 140 0.951979740880 X. Lai, D. Yue, J.-K. Hao, F. Glover, and Z. Lü, Iterated dynamic neighborhood search for packing equal circles on a sphere, Comput. Oper. Res. 151 (2023), Paper No. 106121, 17 pp., doi:10.1016/j.cor.2022.106121.
3 141 0.952385754295 Henry Cohn, 2025.
3 142 0.952693726748 X. Lai, D. Yue, J.-K. Hao, F. Glover, and Z. Lü, Iterated dynamic neighborhood search for packing equal circles on a sphere, Comput. Oper. Res. 151 (2023), Paper No. 106121, 17 pp., doi:10.1016/j.cor.2022.106121.
3 143 0.952998670435 Henry Cohn, 2024.
3 144 0.953228409663 Henry Cohn, 2025.
3 145 0.953609890346 X. Lai, D. Yue, J.-K. Hao, F. Glover, and Z. Lü, Iterated dynamic neighborhood search for packing equal circles on a sphere, Comput. Oper. Res. 151 (2023), Paper No. 106121, 17 pp., doi:10.1016/j.cor.2022.106121.
3 146 0.953890527065 Henry Cohn, 2024.
3 147 0.954232032048 Henry Cohn, 2024.
3 148 0.954536757950 Henry Cohn, 2025.
3 149 0.954857978400 X. Lai, D. Yue, J.-K. Hao, F. Glover, and Z. Lü, Iterated dynamic neighborhood search for packing equal circles on a sphere, Comput. Oper. Res. 151 (2023), Paper No. 106121, 17 pp., doi:10.1016/j.cor.2022.106121.
3 150 0.955020893900 X. Lai, D. Yue, J.-K. Hao, F. Glover, and Z. Lü, Iterated dynamic neighborhood search for packing equal circles on a sphere, Comput. Oper. Res. 151 (2023), Paper No. 106121, 17 pp., doi:10.1016/j.cor.2022.106121.
3 151 0.955409384784 Henry Cohn, 2024.
3 152 0.955652691422 X. Lai, D. Yue, J.-K. Hao, F. Glover, and Z. Lü, Iterated dynamic neighborhood search for packing equal circles on a sphere, Comput. Oper. Res. 151 (2023), Paper No. 106121, 17 pp., doi:10.1016/j.cor.2022.106121.
3 153 0.955934479813 Henry Cohn, 2025.
3 154 0.956200715693 Henry Cohn, 2024.
3 155 0.956523743427 X. Lai, D. Yue, J.-K. Hao, F. Glover, and Z. Lü, Iterated dynamic neighborhood search for packing equal circles on a sphere, Comput. Oper. Res. 151 (2023), Paper No. 106121, 17 pp., doi:10.1016/j.cor.2022.106121.
3 156 0.956672320428 Henry Cohn, 2024.
3 157 0.957096132346 X. Lai, D. Yue, J.-K. Hao, F. Glover, and Z. Lü, Iterated dynamic neighborhood search for packing equal circles on a sphere, Comput. Oper. Res. 151 (2023), Paper No. 106121, 17 pp., doi:10.1016/j.cor.2022.106121.
3 158 0.957339288658 Henry Cohn, 2024.
3 159 0.957588843682 Henry Cohn, 2024.
3 160 0.957856569962 X. Lai, D. Yue, J.-K. Hao, F. Glover, and Z. Lü, Iterated dynamic neighborhood search for packing equal circles on a sphere, Comput. Oper. Res. 151 (2023), Paper No. 106121, 17 pp., doi:10.1016/j.cor.2022.106121.
3 161 0.958127174616 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 162 0.958288809704 X. Lai, D. Yue, J.-K. Hao, F. Glover, and Z. Lü, Iterated dynamic neighborhood search for packing equal circles on a sphere, Comput. Oper. Res. 151 (2023), Paper No. 106121, 17 pp., doi:10.1016/j.cor.2022.106121.
3 163 0.958615566728 X. Lai, D. Yue, J.-K. Hao, F. Glover, and Z. Lü, Iterated dynamic neighborhood search for packing equal circles on a sphere, Comput. Oper. Res. 151 (2023), Paper No. 106121, 17 pp., doi:10.1016/j.cor.2022.106121.
3 164 0.958889976688 Henry Cohn, 2024.
3 165 0.959124889495 Henry Cohn, 2024.
3 166 0.959323846675 X. Lai, D. Yue, J.-K. Hao, F. Glover, and Z. Lü, Iterated dynamic neighborhood search for packing equal circles on a sphere, Comput. Oper. Res. 151 (2023), Paper No. 106121, 17 pp., doi:10.1016/j.cor.2022.106121.
3 167 0.959625833713 X. Lai, D. Yue, J.-K. Hao, F. Glover, and Z. Lü, Iterated dynamic neighborhood search for packing equal circles on a sphere, Comput. Oper. Res. 151 (2023), Paper No. 106121, 17 pp., doi:10.1016/j.cor.2022.106121.
3 168 0.959759331314 Henry Cohn, 2025.
3 169 0.960021869084 Henry Cohn, 2025.
3 170 0.960117137568 X. Lai, D. Yue, J.-K. Hao, F. Glover, and Z. Lü, Iterated dynamic neighborhood search for packing equal circles on a sphere, Comput. Oper. Res. 151 (2023), Paper No. 106121, 17 pp., doi:10.1016/j.cor.2022.106121 (see footnote 1).
3 171 0.960456738161 Henry Cohn, 2025.
3 172 0.960629559055 X. Lai, D. Yue, J.-K. Hao, F. Glover, and Z. Lü, Iterated dynamic neighborhood search for packing equal circles on a sphere, Comput. Oper. Res. 151 (2023), Paper No. 106121, 17 pp., doi:10.1016/j.cor.2022.106121.
3 173 0.960986405967 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 174 0.961153945452 X. Lai, D. Yue, J.-K. Hao, F. Glover, and Z. Lü, Iterated dynamic neighborhood search for packing equal circles on a sphere, Comput. Oper. Res. 151 (2023), Paper No. 106121, 17 pp., doi:10.1016/j.cor.2022.106121.
3 175 0.961330724045 Henry Cohn, 2024.
3 176 0.961593582498 Henry Cohn, 2024.
3 177 0.961828786663 X. Lai, D. Yue, J.-K. Hao, F. Glover, and Z. Lü, Iterated dynamic neighborhood search for packing equal circles on a sphere, Comput. Oper. Res. 151 (2023), Paper No. 106121, 17 pp., doi:10.1016/j.cor.2022.106121.
3 178 0.961965173662 Henry Cohn, 2024.
3 179 0.962096013263 X. Lai, D. Yue, J.-K. Hao, F. Glover, and Z. Lü, Iterated dynamic neighborhood search for packing equal circles on a sphere, Comput. Oper. Res. 151 (2023), Paper No. 106121, 17 pp., doi:10.1016/j.cor.2022.106121.
3 180 0.962128794086 T. Tarnai, Packing of 180 equal circles on a sphere, Elem. Math. 38 (1983), 119–122, doi:10.5169/seals-37194.
Minimal polynomial listed in plain text data
3 181 0.962508969964 X. Lai, D. Yue, J.-K. Hao, F. Glover, and Z. Lü, Iterated dynamic neighborhood search for packing equal circles on a sphere, Comput. Oper. Res. 151 (2023), Paper No. 106121, 17 pp., doi:10.1016/j.cor.2022.106121.
3 182 0.962801835015 X. Lai, D. Yue, J.-K. Hao, F. Glover, and Z. Lü, Iterated dynamic neighborhood search for packing equal circles on a sphere, Comput. Oper. Res. 151 (2023), Paper No. 106121, 17 pp., doi:10.1016/j.cor.2022.106121.
3 183 0.962987454665 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 184 0.963227493195 X. Lai, D. Yue, J.-K. Hao, F. Glover, and Z. Lü, Iterated dynamic neighborhood search for packing equal circles on a sphere, Comput. Oper. Res. 151 (2023), Paper No. 106121, 17 pp., doi:10.1016/j.cor.2022.106121.
3 185 0.963400251151 X. Lai, D. Yue, J.-K. Hao, F. Glover, and Z. Lü, Iterated dynamic neighborhood search for packing equal circles on a sphere, Comput. Oper. Res. 151 (2023), Paper No. 106121, 17 pp., doi:10.1016/j.cor.2022.106121.
3 186 0.963602302299 X. Lai, D. Yue, J.-K. Hao, F. Glover, and Z. Lü, Iterated dynamic neighborhood search for packing equal circles on a sphere, Comput. Oper. Res. 151 (2023), Paper No. 106121, 17 pp., doi:10.1016/j.cor.2022.106121.
3 187 0.963858096099 X. Lai, D. Yue, J.-K. Hao, F. Glover, and Z. Lü, Iterated dynamic neighborhood search for packing equal circles on a sphere, Comput. Oper. Res. 151 (2023), Paper No. 106121, 17 pp., doi:10.1016/j.cor.2022.106121.
3 188 0.964002261472 X. Lai, D. Yue, J.-K. Hao, F. Glover, and Z. Lü, Iterated dynamic neighborhood search for packing equal circles on a sphere, Comput. Oper. Res. 151 (2023), Paper No. 106121, 17 pp., doi:10.1016/j.cor.2022.106121.
3 189 0.964190407206 Henry Cohn, 2024.
3 190 0.964292984546 X. Lai, D. Yue, J.-K. Hao, F. Glover, and Z. Lü, Iterated dynamic neighborhood search for packing equal circles on a sphere, Comput. Oper. Res. 151 (2023), Paper No. 106121, 17 pp., doi:10.1016/j.cor.2022.106121.
3 191 0.964504935278 X. Lai, D. Yue, J.-K. Hao, F. Glover, and Z. Lü, Iterated dynamic neighborhood search for packing equal circles on a sphere, Comput. Oper. Res. 151 (2023), Paper No. 106121, 17 pp., doi:10.1016/j.cor.2022.106121.
3 192 0.964585751396 X. Lai, D. Yue, J.-K. Hao, F. Glover, and Z. Lü, Iterated dynamic neighborhood search for packing equal circles on a sphere, Comput. Oper. Res. 151 (2023), Paper No. 106121, 17 pp., doi:10.1016/j.cor.2022.106121.
3 193 0.964893730830 X. Lai, D. Yue, J.-K. Hao, F. Glover, and Z. Lü, Iterated dynamic neighborhood search for packing equal circles on a sphere, Comput. Oper. Res. 151 (2023), Paper No. 106121, 17 pp., doi:10.1016/j.cor.2022.106121.
3 194 0.965083352280 Henry Cohn, 2024.
3 195 0.965251036900 X. Lai, D. Yue, J.-K. Hao, F. Glover, and Z. Lü, Iterated dynamic neighborhood search for packing equal circles on a sphere, Comput. Oper. Res. 151 (2023), Paper No. 106121, 17 pp., doi:10.1016/j.cor.2022.106121.
3 196 0.965468009555 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 197 0.965671400310 Henry Cohn, 2025.
3 198 0.965829315374 Henry Cohn, 2024.
3 199 0.965916172795 Henry Cohn, 2024.
3 200 0.965942044452 Henry Cohn, 2025.
3 201 0.966306900791 Henry Cohn, 2024.
3 202 0.966420203486 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 203 0.966622724376 Henry Cohn, 2024.
3 204 0.966712897537 Henry Cohn, 2024.
3 205 0.966826978769 Henry Cohn, 2025.
3 206 0.967078415732 Henry Cohn, 2024.
3 207 0.967258049747 Henry Cohn, 2024.
3 208 0.967362842483 Henry Cohn, 2024.
3 209 0.967547223611 Henry Cohn, 2024.
3 210 0.967630597679 Henry Cohn, 2024.
3 211 0.967822897132 Henry Cohn, 2024.
3 212 0.967927157323 Henry Cohn, 2024.
3 213 0.968163116144 Henry Cohn, 2024.
3 214 0.968277360489 Henry Cohn, 2025.
3 215 0.968453681521 Henry Cohn, 2024.
3 216 0.968596893733 X. Lai, D. Yue, J.-K. Hao, F. Glover, and Z. Lü, Iterated dynamic neighborhood search for packing equal circles on a sphere, Comput. Oper. Res. 151 (2023), Paper No. 106121, 17 pp., doi:10.1016/j.cor.2022.106121.
3 217 0.968776493956 Henry Cohn, 2025.
3 218 0.968881995145 Joseph Farland, 2026.
3 219 0.969051617681 Henry Cohn, 2025.
3 220 0.969138855053 Henry Cohn, 2024.
3 221 0.969215831481 Henry Cohn, 2024.
3 222 0.969434783114 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 223 0.969554841105 Henry Cohn, 2024.
3 224 0.969694397387 Henry Cohn, 2024.
3 225 0.969832486673 Henry Cohn, 2024.
3 226 0.969908996450 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 227 0.970127102957 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 228 0.970249147842 Henry Cohn, 2024.
3 229 0.970369120893 Henry Cohn, 2025.
3 230 0.970483445180 Henry Cohn, 2024.
3 231 0.970608829668 Henry Cohn, 2024.
3 232 0.970693980479 Henry Cohn, 2024.
3 233 0.970846639234 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 234 0.970903800528 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 235 0.971108669673 Henry Cohn, 2025.
3 236 0.971194820033 Henry Cohn, 2024.
3 237 0.971302439718 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 238 0.971450420857 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 239 0.971569245430 Joseph Farland, 2026.
3 240 0.971657594484 Henry Cohn, 2024.
3 241 0.971802213952 Henry Cohn, 2024.
3 242 0.971893361216 Henry Cohn, 2025.
3 243 0.971985441053 Henry Cohn, 2024.
3 244 0.972112111081 Henry Cohn, 2025.
3 245 0.972207255147 Henry Cohn, 2024.
3 246 0.972337795891 Henry Cohn, 2024.
3 247 0.972484516196 Henry Cohn, 2024.
3 248 0.972577587182 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 249 0.972727698402 Henry Cohn, 2024.
3 250 0.972802667761 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
3 251 0.972878488641 Henry Cohn, 2025.
3 252 0.973005270899 Henry Cohn, 2024.
3 253 0.973112111220 Henry Cohn, 2024.
3 254 0.973166293799 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 255 0.973336098901 Henry Cohn, 2025.
3 256 0.973419418775 Henry Cohn, 2024.
3 257 0.973518713646 Henry Cohn, 2024.
3 258 0.973601287197 Henry Cohn, 2024.
3 259 0.973687576212 Henry Cohn, 2024.
3 260 0.973743009714 Henry Cohn, 2024.
3 261 0.973920627055 Joseph Farland, 2026.
3 262 0.974027125019 Henry Cohn, 2024.
3 263 0.974151173293 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 264 0.974245195545 Henry Cohn, 2026.
3 265 0.974330655728 Henry Cohn, 2024.
3 266 0.974398317842 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 267 0.974465984042 Henry Cohn, 2025.
3 268 0.974543890479 Henry Cohn, 2024.
3 269 0.974603593005 Henry Cohn, 2024.
3 270 0.974616849625 T. Tarnai and Zs. Gáspár, Multi-symmetric close packings of equal spheres on the spherical surface, Acta Cryst. Sect. A 43 (1987), 612–616, doi:10.1107/S0108767387098842.
Minimal polynomial listed in plain text data
3 271 0.974808781632 Henry Cohn, 2024.
3 272 0.974950342892 Henry Cohn, 2024.
3 273 0.975065447378 Henry Cohn, 2024.
3 274 0.975124578016 Henry Cohn, 2024.
3 275 0.975240636386 Henry Cohn, 2024.
3 276 0.975319918238 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 277 0.975403368414 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 278 0.975464347279 Henry Cohn, 2024.
3 279 0.975521244170 Henry Cohn, 2024.
3 280 0.975556159117 Henry Cohn, 2024.
3 281 0.975696078155 Henry Cohn, 2024.
3 282 0.975817103894 X. Lai, D. Yue, J.-K. Hao, F. Glover, and Z. Lü, Iterated dynamic neighborhood search for packing equal circles on a sphere, Comput. Oper. Res. 151 (2023), Paper No. 106121, 17 pp., doi:10.1016/j.cor.2022.106121.
3 283 0.975926949120 Henry Cohn, 2024.
3 284 0.976026277162 Henry Cohn, 2024.
3 285 0.976129872208 Henry Cohn, 2026.
3 286 0.976188042645 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 287 0.976292535597 Henry Cohn, 2024.
3 288 0.976363799835 Henry Cohn, 2026.
3 289 0.976439859800 Henry Cohn, 2024.
3 290 0.976500970455 Henry Cohn, 2024.
3 291 0.976554670637 Joseph Farland, 2026.
3 292 0.976605721255 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 293 0.976711107353 Henry Cohn, 2024.
3 294 0.976800018749 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 295 0.976890767574 Henry Cohn, 2024.
3 296 0.976945912178 Henry Cohn, 2024.
3 297 0.977073329897 Henry Cohn, 2024.
3 298 0.977138830798 Henry Cohn, 2026.
3 299 0.977212395551 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 300 0.977219217071 R. H. Hardin, N. J. A. Sloane, and W. D. Smith, Tables of spherical codes with icosahedral symmetry, 1994–2000.
Minimal polynomial listed in plain text data
3 301 0.977391298844 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 302 0.977456318034 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 303 0.977523371220 Henry Cohn, 2024.
3 304 0.977583884150 Henry Cohn, 2024.
3 305 0.977632490985 Henry Cohn, 2024.
3 306 0.977703964298 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 307 0.977813103970 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 308 0.977892051736 Henry Cohn, 2024.
3 309 0.977959537061 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 310 0.978011833466 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 311 0.978083973836 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 312 0.978120238531 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 313 0.978224489292 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 314 0.978264314155 Henry Cohn, 2026.
3 315 0.978359778769 Henry Cohn, 2024.
3 316 0.978409720822 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 317 0.978487475787 Henry Cohn, 2024.
3 318 0.978544186966 Henry Cohn, 2026.
3 319 0.978603060123 Henry Cohn, 2024.
3 320 0.978663214407 Joseph Farland, 2026.
3 321 0.978700877038 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 322 0.978821398205 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 323 0.978910839488 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 324 0.978990321564 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 325 0.979041935606 Henry Cohn, 2026.
3 326 0.979095312240 Henry Cohn, 2026.
3 327 0.979171371681 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 328 0.979218332061 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 329 0.979277581704 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 330 0.979323231314 Joseph Farland, 2026.
3 331 0.979372582064 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 332 0.979423808444 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 333 0.979489382875 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 334 0.979582034493 Henry Cohn, 2024.
3 335 0.979641442751 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 336 0.979685624811 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 337 0.979751262217 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 338 0.979838818714 Henry Cohn, 2024.
3 339 0.979890536212 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 340 0.979943505817 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 341 0.979999218383 Henry Cohn, 2026.
3 342 0.980044047715 Henry Cohn, 2024.
3 343 0.980089563136 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 344 0.980135977822 Henry Cohn, 2024.
3 345 0.980195529699 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 346 0.980272636307 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 347 0.980349152228 Henry Cohn, 2024.
3 348 0.980406401850 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 349 0.980459205610 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 350 0.980512031528 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 351 0.980569488890 Henry Cohn, 2026.
3 352 0.980617038392 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 353 0.980680058456 Joseph Farland, 2026.
3 354 0.980726877303 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 355 0.980776809933 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 356 0.980813672203 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 357 0.980859420724 Joseph Farland, 2026.
3 358 0.980900763921 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 359 0.980938721612 Henry Cohn, 2024.
3 360 0.980946761337 T. Tarnai and Zs. Gáspár, Multi-symmetric close packings of equal spheres on the spherical surface, Acta Cryst. Sect. A 43 (1987), 612–616, doi:10.1107/S0108767387098842.
3 361 0.981088226426 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 362 0.981160326747 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 363 0.981225268927 Henry Cohn, 2024.
3 364 0.981270920689 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 365 0.981314154564 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 366 0.981353471401 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 367 0.981412239398 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 368 0.981459173258 Joseph Farland, 2026.
3 369 0.981497730286 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 370 0.981557952104 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 371 0.981609476686 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 372 0.981655634463 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 373 0.981698533934 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 374 0.981743695439 Henry Cohn, 2024.
3 375 0.981791432540 Joseph Farland, 2026.
3 376 0.981824377384 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 377 0.981882566817 Henry Cohn, 2026.
3 378 0.981910199675 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 379 0.981950089856 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 380 0.981966079866 Henry Cohn, 2025.
3 381 0.982053259851 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 382 0.982136118975 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 383 0.982191165481 Henry Cohn, 2024.
3 384 0.982230205834 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 385 0.982275034690 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 386 0.982306280672 Henry Cohn, 2026.
3 387 0.982343568478 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 388 0.982373183313 Henry Cohn, 2024.
3 389 0.982413939800 Henry Cohn, 2026.
3 390 0.982435685538 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 391 0.982506919253 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 392 0.982576748727 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 393 0.982649357699 Henry Cohn, 2024.
3 394 0.982692285022 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 395 0.982725341006 Henry Cohn, 2026.
3 396 0.982755910583 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 397 0.982794828038 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 398 0.982818117650 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 399 0.982854598025 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 400 0.982905526758 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 401 0.982946647764 Henry Cohn, 2026.
3 402 0.982976847784 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 403 0.983046966156 Henry Cohn, 2026.
3 404 0.983109058367 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 405 0.983167968174 Henry Cohn, 2026.
3 406 0.983204434317 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 407 0.983235764397 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 408 0.983284547279 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 409 0.983324857501 Henry Cohn, 2024.
3 410 0.983353268157 Henry Cohn, 2026.
3 411 0.983397760620 Henry Cohn, 2024.
3 412 0.983427483278 Henry Cohn, 2026.
3 413 0.983461427167 Henry Cohn, 2024.
3 414 0.983492007668 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 415 0.983543363195 Henry Cohn, 2026.
3 416 0.983572356049 Henry Cohn, 2024.
3 417 0.983606250324 Henry Cohn, 2026.
3 418 0.983665319836 Henry Cohn, 2026.
3 419 0.983706848253 Henry Cohn, 2026.
3 420 0.983733787298 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 421 0.983788433471 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 422 0.983819692630 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 423 0.983864932171 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 424 0.983899323392 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 425 0.983936730938 Henry Cohn, 2026.
3 426 0.983967656850 Henry Cohn, 2024.
3 427 0.984016858976 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 428 0.984055332603 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 429 0.984081419316 Henry Cohn, 2026.
3 430 0.984128863366 Henry Cohn, 2026.
3 431 0.984165514392 Henry Cohn, 2024.
3 432 0.984201636678 Henry Cohn, 2024.
3 433 0.984244767708 Henry Cohn, 2026.
3 434 0.984271520387 Henry Cohn, 2026.
3 435 0.984318791801 Henry Cohn, 2026.
3 436 0.984353948636 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 437 0.984376596212 Henry Cohn, 2024.
3 438 0.984418580619 Joseph Farland, 2026.
3 439 0.984449790237 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 440 0.984472421765 Henry Cohn, 2024.
3 441 0.984527980944 Henry Cohn, 2024.
3 442 0.984558142424 Henry Cohn, 2026.
3 443 0.984591118425 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 444 0.984628415926 Henry Cohn, 2024.
3 445 0.984659454014 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 446 0.984697315281 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 447 0.984730509217 Henry Cohn, 2024.
3 448 0.984758024752 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 449 0.984783461265 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 450 0.984833102924 Henry Cohn, 2026.
3 451 0.984869055427 Henry Cohn, 2026.
3 452 0.984909861454 Joseph Farland, 2026.
3 453 0.984937733146 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 454 0.984965933474 Henry Cohn, 2026.
3 455 0.984994478749 Henry Cohn, 2024.
3 456 0.985025831529 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 457 0.985063607349 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
3 458 0.985097884587 Henry Cohn, 2024.
3 459 0.985118722612 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 460 0.985147607585 Henry Cohn, 2026.
3 461 0.985179263490 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 462 0.985200918091 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 463 0.985227842556 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 464 0.985256999693 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 465 0.985313259906 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 466 0.985354555719 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 467 0.985386081788 Henry Cohn, 2024.
3 468 0.985411837325 Henry Cohn, 2024.
3 469 0.985444627723 Henry Cohn, 2024.
3 470 0.985482640963 Henry Cohn, 2024.
3 471 0.985509915678 Henry Cohn, 2024.
3 472 0.985523632535 Henry Cohn, 2026.
3 473 0.985548106738 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 474 0.985570497957 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 475 0.985596615938 Henry Cohn, 2026.
3 476 0.985623149814 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 477 0.985650741616 Henry Cohn, 2026.
3 478 0.985679353119 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 479 0.985699793609 Henry Cohn, 2026.
3 480 0.985719122362 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 481 0.985785399613 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 482 0.985825013849 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 483 0.985845956788 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 484 0.985878240751 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 485 0.985905879597 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 486 0.985929368687 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
3 487 0.985979258599 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 488 0.985998730673 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 489 0.986025640074 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 490 0.986059032195 Henry Cohn, 2026.
3 491 0.986086277740 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
3 492 0.986121929372 Henry Cohn, 2024.
3 493 0.986155833767 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 494 0.986181734672 Henry Cohn, 2026.
3 495 0.986207408173 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
3 496 0.986232320520 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
3 497 0.986255125817 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 498 0.986298103712 Henry Cohn, 2024.
3 499 0.986321351633 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 500 0.986340427741 Henry Cohn, 2026.
3 501 0.986368564388 Henry Cohn, 2026.
3 502 0.986394969781 Henry Cohn, 2026.
3 503 0.986426122735 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 504 0.986455469484 Henry Cohn, 2024.
3 505 0.986472546490 Henry Cohn, 2026.
3 506 0.986500198993 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 507 0.986521000677 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 508 0.986538026121 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 509 0.986554423539 Joseph Farland, 2026.
3 510 0.986562939593 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 511 0.986616572016 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 512 0.986666379624 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 513 0.986686643123 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 514 0.986709721838 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
3 515 0.986744566867 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
3 516 0.986768384280 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
3 517 0.986792240600 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
3 518 0.986818513415 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 519 0.986838493720 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 520 0.986868031469 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 521 0.986893707501 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
3 522 0.986917168717 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 523 0.986938315059 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 524 0.986963939788 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
3 525 0.986992724300 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 526 0.987016289222 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 527 0.987044504114 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
3 528 0.987065854903 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 529 0.987084162716 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
3 530 0.987104468645 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 531 0.987139261987 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 532 0.987154387599 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 533 0.987185368627 Henry Cohn, 2024.
3 534 0.987215557894 Henry Cohn, 2024.
3 535 0.987233366282 Henry Cohn, 2026.
3 536 0.987256965700 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 537 0.987271183218 Henry Cohn, 2024.
3 538 0.987299318995 Henry Cohn, 2026.
3 539 0.987322062174 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 540 0.987346269594 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 541 0.987368143886 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 542 0.987386355496 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 543 0.987412608917 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
3 544 0.987439266001 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 545 0.987454031981 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 546 0.987478401044 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 547 0.987509928414 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 548 0.987533154648 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 549 0.987547178470 Henry Cohn, 2026.
3 550 0.987571333233 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 551 0.987602101320 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 552 0.987621804564 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 553 0.987639063720 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 554 0.987655992944 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 555 0.987683367461 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
3 556 0.987703437496 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 557 0.987733377337 Henry Cohn, 2026.
3 558 0.987755845204 Joseph Farland, 2026.
3 559 0.987778966835 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 560 0.987795764336 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 561 0.987821081755 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 562 0.987837720422 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
3 563 0.987857321321 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
3 564 0.987882017649 Henry Cohn, 2026.
3 565 0.987909734682 Henry Cohn, 2026.
3 566 0.987930679295 Henry Cohn, 2024.
3 567 0.987952251042 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 568 0.987974408939 Henry Cohn, 2024.
3 569 0.987986081388 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 570 0.988006051529 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 571 0.988036020013 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 572 0.988045142899 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 573 0.988070762308 Henry Cohn, 2026.
3 574 0.988092469691 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 575 0.988116092887 Henry Cohn, 2024.
3 576 0.988134624923 Henry Cohn, 2026.
3 577 0.988154372704 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 578 0.988175563349 Henry Cohn, 2026.
3 579 0.988195536872 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 580 0.988214394071 Henry Cohn, 2024.
3 581 0.988236298890 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 582 0.988253471366 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 583 0.988275699045 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 584 0.988296366139 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 585 0.988316187693 Henry Cohn, 2024.
3 586 0.988336136398 Henry Cohn, 2024.
3 587 0.988354162127 Henry Cohn, 2026.
3 588 0.988367675855 Henry Cohn, 2026.
3 589 0.988390327285 Henry Cohn, 2024.
3 590 0.988407003702 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 591 0.988426256682 Henry Cohn, 2026.
3 592 0.988445621040 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 593 0.988464934407 Henry Cohn, 2026.
3 594 0.988487475426 Henry Cohn, 2026.
3 595 0.988509243513 Henry Cohn, 2026.
3 596 0.988525221197 Henry Cohn, 2026.
3 597 0.988541463766 Henry Cohn, 2026.
3 598 0.988561570194 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 599 0.988578635915 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 600 0.988601034992 Henry Cohn, 2026.
3 601 0.988620190095 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 602 0.988636075049 Henry Cohn, 2026.
3 603 0.988654856575 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 604 0.988675027866 Henry Cohn, 2026.
3 605 0.988695935652 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 606 0.988711680153 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 607 0.988725982410 Henry Cohn, 2026.
3 608 0.988746033738 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 609 0.988760157529 Henry Cohn, 2024.
3 610 0.988779258171 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 611 0.988792532614 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 612 0.988809317215 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 613 0.988828386947 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 614 0.988847477277 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 615 0.988863827463 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 616 0.988878602395 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 617 0.988896185791 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 618 0.988916078492 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 619 0.988933057019 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 620 0.988948235960 R. H. Hardin, N. J. A. Sloane, and W. D. Smith, Tables of spherical codes with icosahedral symmetry, 1994–2000.
3 621 0.988977991837 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 622 0.988998181125 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 623 0.989012306487 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 624 0.989027486622 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 625 0.989045921541 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 626 0.989070144515 Henry Cohn, 2026.
3 627 0.989079627522 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 628 0.989098575858 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 629 0.989116725768 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 630 0.989134691942 Henry Cohn, 2024.
3 631 0.989153918243 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 632 0.989172993109 Henry Cohn, 2024.
3 633 0.989188471837 Henry Cohn, 2024.
3 634 0.989200039625 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 635 0.989216285917 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 636 0.989241624238 Henry Cohn, 2026.
3 637 0.989255243380 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 638 0.989267204518 Henry Cohn, 2024.
3 639 0.989281046840 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 640 0.989297085361 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 641 0.989312593081 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 642 0.989329805069 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 643 0.989348238645 Henry Cohn, 2026.
3 644 0.989365862671 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 645 0.989382090433 Henry Cohn, 2026.
3 646 0.989398690989 Henry Cohn, 2024.
3 647 0.989412560581 Henry Cohn, 2026.
3 648 0.989430480433 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 649 0.989449281190 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 650 0.989461420595 Henry Cohn, 2026.
3 651 0.989477172719 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 652 0.989492340165 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 653 0.989514111691 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 654 0.989528389272 Henry Cohn, 2024.
3 655 0.989542872527 Henry Cohn, 2026.
3 656 0.989556026849 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 657 0.989574490806 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 658 0.989586987026 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 659 0.989608228928 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 660 0.989620029682 Henry Cohn, 2026.
3 661 0.989637573715 Henry Cohn, 2026.
3 662 0.989651179949 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 663 0.989664846590 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 664 0.989677899896 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 665 0.989692677814 Henry Cohn, 2026.
3 666 0.989709393529 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 667 0.989717174328 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 668 0.989728785522 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 669 0.989745937326 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 670 0.989765777159 Henry Cohn, 2024.
3 671 0.989779719224 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 672 0.989791610602 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 673 0.989803383306 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 674 0.989823075869 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 675 0.989838824124 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 676 0.989844694335 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 677 0.989858769111 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 678 0.989876535128 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 679 0.989897065545 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 680 0.989912044626 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 681 0.989928112762 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 682 0.989945709785 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 683 0.989964518656 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 684 0.989976711497 Henry Cohn, 2026.
3 685 0.989995163911 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 686 0.990003142707 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 687 0.990010216029 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 688 0.990015216226 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 689 0.990024079247 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 690 0.990030508982 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 691 0.990043948471 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 692 0.990049719467 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 693 0.990072487830 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 694 0.990088638584 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 695 0.990112226770 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 696 0.990130331424 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 697 0.990147701774 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 698 0.990161199032 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 699 0.990166705398 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 700 0.990174748139 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 701 0.990184946164 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 702 0.990195533725 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 703 0.990213168813 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 704 0.990233105514 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 705 0.990244174304 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 706 0.990259228929 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 707 0.990279610508 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 708 0.990300776124 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 709 0.990314674442 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 710 0.990328587180 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 711 0.990343958242 Henry Cohn, 2026.
3 712 0.990354565631 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 713 0.990370582233 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 714 0.990386923851 Henry Cohn, 2026.
3 715 0.990398715014 Henry Cohn, 2026.
3 716 0.990417939893 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 717 0.990434938173 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 718 0.990448237688 Henry Cohn, 2024.
3 719 0.990458980758 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 720 0.990471209156 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 721 0.990485762733 Henry Cohn, 2026.
3 722 0.990495377574 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 723 0.990507844425 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 724 0.990518238914 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 725 0.990527244137 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 726 0.990541335919 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 727 0.990554135818 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 728 0.990566837059 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 729 0.990579641318 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 730 0.990593359255 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 731 0.990607471643 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 732 0.990620547331 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 733 0.990632985385 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 734 0.990650162640 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 735 0.990663385058 Henry Cohn, 2026.
3 736 0.990676301529 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 737 0.990689150466 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 738 0.990704677084 Henry Cohn, 2024.
3 739 0.990712590288 Henry Cohn, 2026.
3 740 0.990721213799 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 741 0.990733794060 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 742 0.990746101607 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 743 0.990759533708 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 744 0.990774050675 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 745 0.990782069775 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 746 0.990790405426 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 747 0.990798752530 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 748 0.990804855397 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 749 0.990823444501 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 750 0.990838051026 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 751 0.990848217974 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 752 0.990863369211 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 753 0.990870643929 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 754 0.990891813894 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 755 0.990898642484 Henry Cohn, 2026.
3 756 0.990910590336 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 757 0.990919120273 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 758 0.990931839535 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 759 0.990948108149 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 760 0.990957023242 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 761 0.990973517083 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 762 0.990981734597 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 763 0.990993431032 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 764 0.991002763986 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 765 0.991018496613 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 766 0.991034013908 Henry Cohn, 2026.
3 767 0.991054056532 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 768 0.991061479408 Henry Cohn, 2026.
3 769 0.991072392291 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 770 0.991083942446 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 771 0.991091079354 Henry Cohn, 2026.
3 772 0.991105157122 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 773 0.991117205198 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 774 0.991127072576 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 775 0.991136894702 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 776 0.991145168494 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 777 0.991156090215 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 778 0.991167453340 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 779 0.991179307635 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 780 0.991194037221 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 781 0.991201092291 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 782 0.991209823270 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 783 0.991220331218 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 784 0.991231480431 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 785 0.991242274736 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 786 0.991257179931 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 787 0.991267590682 Henry Cohn, 2026.
3 788 0.991272827701 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 789 0.991284297051 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 790 0.991293857653 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 791 0.991308229543 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 792 0.991321548698 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 793 0.991334175935 Henry Cohn, 2026.
3 794 0.991347064507 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 795 0.991355304584 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 796 0.991369426758 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 797 0.991379427026 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 798 0.991387368744 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 799 0.991401570566 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 800 0.991412852948 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 801 0.991420587755 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 802 0.991433978804 Henry Cohn, 2026.
3 803 0.991445605885 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 804 0.991453184032 Henry Cohn, 2026.
3 805 0.991465239635 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 806 0.991476886053 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 807 0.991488929992 Henry Cohn, 2026.
3 808 0.991493793941 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 809 0.991501492895 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 810 0.991511034948 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 811 0.991520997976 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 812 0.991530953970 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 813 0.991537189112 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 814 0.991545809855 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 815 0.991555319558 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 816 0.991569882781 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 817 0.991582818564 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 818 0.991590658544 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 819 0.991606034517 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 820 0.991614752117 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 821 0.991622680066 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 822 0.991629399783 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 823 0.991637880056 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 824 0.991646552805 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 825 0.991657082103 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 826 0.991665648672 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 827 0.991679718253 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 828 0.991691393645 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 829 0.991703450922 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 830 0.991715253156 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 831 0.991721242520 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 832 0.991732788637 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 833 0.991741183364 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 834 0.991752754102 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 835 0.991760041337 Henry Cohn, 2026.
3 836 0.991769617104 Henry Cohn, 2026.
3 837 0.991780131221 Henry Cohn, 2026.
3 838 0.991793588414 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 839 0.991798530900 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 840 0.991804754582 Henry Cohn, 2026.
3 841 0.991814323308 Henry Cohn, 2026.
3 842 0.991823210380 Henry Cohn, 2026, needs more optimization.
3 843 0.991831775406 Henry Cohn, 2026.
3 844 0.991840474750 Henry Cohn, 2026.
3 845 0.991848392337 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 846 0.991856669132 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 847 0.991864742782 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 848 0.991873514728 Joseph Farland, 2026.
3 849 0.991880802104 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 850 0.991888525780 Henry Cohn, 2026.
3 851 0.991896793561 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 852 0.991904228280 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 853 0.991917862343 Henry Cohn, 2026.
3 854 0.991932276509 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 855 0.991947953670 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 856 0.991958068050 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 857 0.991970560946 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 858 0.991978600485 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 859 0.991988301922 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 860 0.991995730812 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 861 0.992005674809 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 862 0.992017830545 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 863 0.992022892213 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 864 0.992032415887 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 865 0.992040582257 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 866 0.992047848413 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 867 0.992054006385 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 868 0.992064182266 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 869 0.992072857610 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 870 0.992080881016 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 871 0.992091043503 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 872 0.992098615775 Joseph Farland, 2026.
3 873 0.992109617870 Henry Cohn, 2026.
3 874 0.992124402446 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 875 0.992132626518 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 876 0.992142599271 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 877 0.992150555351 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 878 0.992160175361 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 879 0.992168588564 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 880 0.992180262010 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 881 0.992188793502 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 882 0.992194602267 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 883 0.992199976372 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 884 0.992209467978 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 885 0.992219516991 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 886 0.992228098391 Joseph Farland, 2026.
3 887 0.992240165824 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 888 0.992245393079 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 889 0.992252621383 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 890 0.992259521199 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 891 0.992265312497 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 892 0.992273591234 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 893 0.992285198532 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 894 0.992295270577 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 895 0.992303450993 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 896 0.992316665272 Henry Cohn, 2026.
3 897 0.992320309228 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 898 0.992327090734 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 899 0.992342930514 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 900 0.992351846776 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 901 0.992359234184 Henry Cohn, 2026.
3 903 0.992368934950 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 904 0.992373967239 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 905 0.992383110599 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 906 0.992386041038 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 907 0.992390525784 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 908 0.992398373349 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 909 0.992407604059 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 910 0.992416598426 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 911 0.992427756496 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 912 0.992442625898 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 913 0.992453873099 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 914 0.992461857361 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 915 0.992469119083 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 916 0.992475396191 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 917 0.992483161878 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 918 0.992493544169 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 919 0.992500380032 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 920 0.992508201487 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 921 0.992518263238 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 922 0.992527251300 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 923 0.992533514791 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 924 0.992542488232 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 925 0.992551181847 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 926 0.992560593933 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 927 0.992572472033 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 928 0.992579850182 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 929 0.992585214902 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 930 0.992591337458 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 931 0.992600402005 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 932 0.992609408897 Henry Cohn, 2026.
3 933 0.992617093350 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 934 0.992625097925 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 935 0.992632212491 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 936 0.992639869455 Joseph Farland, 2026.
3 937 0.992648583886 Joseph Farland, 2026.
3 938 0.992657288761 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 939 0.992668766727 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 940 0.992674971819 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 941 0.992684277552 Henry Cohn, 2026.
3 942 0.992692529469 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 943 0.992696458600 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 944 0.992702830822 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 945 0.992709333379 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 946 0.992717954862 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 947 0.992726438489 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 948 0.992731584231 Henry Cohn, 2026.
3 949 0.992738942637 Henry Cohn, 2026.
3 950 0.992747116974 Henry Cohn, 2026.
3 951 0.992759520003 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 952 0.992764719358 Arhan Canli, 2026.
3 953 0.992771467943 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 954 0.992777979661 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 955 0.992785473328 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 956 0.992801093482 Henry Cohn, 2025.
3 957 0.992808104192 Henry Cohn, 2026.
3 958 0.992816365677 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 959 0.992820716992 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 960 0.992825883272 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 961 0.992831971400 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 962 0.992839460899 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 963 0.992849150927 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 964 0.992857350140 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 965 0.992862037680 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 966 0.992866686560 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 967 0.992877230259 Henry Cohn, 2026.
3 968 0.992886923604 Henry Cohn, 2025.
3 969 0.992888683502 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 970 0.992893687537 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 971 0.992896819831 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 972 0.992902815460 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 973 0.992910904239 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 974 0.992923881262 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 975 0.992930956975 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 976 0.992935632714 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 977 0.992942292331 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 978 0.992949777445 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 979 0.992961076155 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 980 0.992968611292 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 981 0.992974454231 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 982 0.992980396967 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 983 0.992989943488 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 984 0.992996743236 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 985 0.993003655993 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 986 0.993010928524 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 987 0.993015620954 Henry Cohn, 2026.
3 988 0.993022276224 Henry Cohn, 2026.
3 989 0.993033222707 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 990 0.993036756960 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 991 0.993043384691 Joseph Farland, 2026.
3 992 0.993050993888 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 993 0.993055411920 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 994 0.993059751402 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 995 0.993066714676 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 996 0.993072643327 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 997 0.993080573669 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 998 0.993087960168 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 999 0.993097135094 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 1000 0.993103376814 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 1001 0.993111541749 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 1002 0.993117686502 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 1003 0.993127353111 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 1004 0.993134943546 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 1005 0.993143455446 Joseph Farland, 2026.
3 1006 0.993151362276 Henry Cohn, 2026.
3 1007 0.993154661343 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 1008 0.993158348797 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 1009 0.993168367837 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 1010 0.993172909479 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 1011 0.993178583712 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 1012 0.993184601675 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 1013 0.993190658776 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 1014 0.993196089054 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 1015 0.993203743479 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 1016 0.993209427071 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 1017 0.993217235949 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 1018 0.993225888282 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 1019 0.993228818064 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3 1020 0.993235373238 R. H. Hardin, N. J. A. Sloane, and W. D. Smith, Tables of spherical codes with icosahedral symmetry, 1994–2000.
3 1021 0.993242900895 Henry Cohn, 2026.
3 1022 0.993249794958 Henry Cohn, 2026.
3 1023 0.993255970150 Henry Cohn, 2026.
3 1024 0.993262297905 Henry Cohn, 2026.
4 9 0.162015199612 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996; K. J. Nurmela, Constructing spherical codes by global optimization methods, Research Report A32, Digital Systems Laboratory, Helsinki University of Technology, 1995, https://research.ics.aalto.fi/publications/info/bibdb.HUT-TCS-A32.shtml.
16⁢x3−16⁢x2−4⁢x+1
4 10* 0.166666666667 A. L. Mackay, The packing of three-dimensional spheres on the surface of a four-dimensional hypersphere, J. Phys. A 13 (1980), 3373–3379, doi:10.1088/0305-4470/13/11/011; C. Bachoc and F. Vallentin, Optimality and uniqueness of the (4,10,1/6) spherical code, J. Combin. Theory Ser. A 116 (2009), 195–204, doi:10.1016/j.jcta.2008.05.001.
6⁢x−1
4 11 0.230405563595 L. T. Wille, Close packing in curved space by simulated annealing, Journal of Physics A: Mathematical and General 20 (1987), L1211–L1218, doi:10.1088/0305-4470/20/17/014.
8⁢x3−12⁢x2−2⁢x+1
4 12* 0.25 A. L. Mackay, The packing of three-dimensional spheres on the surface of a four-dimensional hypersphere, J. Phys. A 13 (1980), 3373–3379, doi:10.1088/0305-4470/13/11/011; D. de Laat, N. M. Leijenhorst, and W. H. H. de Muinck Keizer, Traceless projection of tensors with applications to hierarchies in discrete geometry, in preparation, 2026+; N. M. Leijenhorst, On the computation of three and four-point bounds in discrete geometry and analytic number theory, doctoral thesis, TU Delft, 2025, doi:10.4233/uuid:91af805a-376c-4ef8-aec5-e6ce08ae20a7.
4⁢x−1
4 13 0.307295653982 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996; K. J. Nurmela, Constructing spherical codes by global optimization methods, Research Report A32, Digital Systems Laboratory, Helsinki University of Technology, 1995, https://research.ics.aalto.fi/publications/info/bibdb.HUT-TCS-A32.shtml.
5632⁢x9+9472⁢x8−3072⁢x7−5888⁢x6+544⁢x5+944⁢x4+152⁢x3−44⁢x2−14⁢x−1
4 14 0.319518594213 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996; K. J. Nurmela, Constructing spherical codes by global optimization methods, Research Report A32, Digital Systems Laboratory, Helsinki University of Technology, 1995, https://research.ics.aalto.fi/publications/info/bibdb.HUT-TCS-A32.shtml.
58⁢x7+174⁢x6+140⁢x5−16⁢x4−54⁢x3−10⁢x2+4⁢x+1
4 15 0.350992175946 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996; K. J. Nurmela, Constructing spherical codes by global optimization methods, Research Report A32, Digital Systems Laboratory, Helsinki University of Technology, 1995, https://research.ics.aalto.fi/publications/info/bibdb.HUT-TCS-A32.shtml.
36⁢x4−18⁢x3+10⁢x2−1
4 16 0.387628177123 A. L. Mackay, The packing of three-dimensional spheres on the surface of a four-dimensional hypersphere, J. Phys. A 13 (1980), 3373–3379, doi:10.1088/0305-4470/13/11/011.
256⁢x10+1024⁢x9+256⁢x8−1152⁢x7+160⁢x6+176⁢x5−144⁢x4+36⁢x3+37⁢x2−6⁢x−3
4 17 0.412259362694 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996; K. J. Nurmela, Constructing spherical codes by global optimization methods, Research Report A32, Digital Systems Laboratory, Helsinki University of Technology, 1995, https://research.ics.aalto.fi/publications/info/bibdb.HUT-TCS-A32.shtml.
4 18 0.422819414074 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996; K. J. Nurmela, Constructing spherical codes by global optimization methods, Research Report A32, Digital Systems Laboratory, Helsinki University of Technology, 1995, https://research.ics.aalto.fi/publications/info/bibdb.HUT-TCS-A32.shtml.
Minimal polynomial listed in plain text data
4 19 0.434258545911 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996; K. J. Nurmela, Constructing spherical codes by global optimization methods, Research Report A32, Digital Systems Laboratory, Helsinki University of Technology, 1995, https://research.ics.aalto.fi/publications/info/bibdb.HUT-TCS-A32.shtml.
3⁢x2+x−1
4 20 0.434258545911 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996; K. J. Nurmela, Constructing spherical codes by global optimization methods, Research Report A32, Digital Systems Laboratory, Helsinki University of Technology, 1995, https://research.ics.aalto.fi/publications/info/bibdb.HUT-TCS-A32.shtml.
3⁢x2+x−1
4 21 0.471380858508 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996; K. J. Nurmela, Constructing spherical codes by global optimization methods, Research Report A32, Digital Systems Laboratory, Helsinki University of Technology, 1995, https://research.ics.aalto.fi/publications/info/bibdb.HUT-TCS-A32.shtml.
16⁢x8−128⁢x7−64⁢x6+32⁢x5+72⁢x4+32⁢x3−16⁢x2−8⁢x+1
4 22 0.497884130844 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996; K. J. Nurmela, Constructing spherical codes by global optimization methods, Research Report A32, Digital Systems Laboratory, Helsinki University of Technology, 1995, https://research.ics.aalto.fi/publications/info/bibdb.HUT-TCS-A32.shtml.
4 23 0.5 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996; K. J. Nurmela, Constructing spherical codes by global optimization methods, Research Report A32, Digital Systems Laboratory, Helsinki University of Technology, 1995, https://research.ics.aalto.fi/publications/info/bibdb.HUT-TCS-A32.shtml.
2⁢x−1
4 24* 0.5 L. Schläfli, Theorie der vielfachen Kontinuität [1852], Denkschriften der Schweizerischen naturforschenden Gesellschaft, vol. 38, J. H. Graf, Bern, 1901; D. de Laat, N. Leijenhorst, and W. H. H. de Muinck Keizer, Optimality and uniqueness of the D4 root system, preprint, 2024, arXiv:2404.18794.
2⁢x−1
4 25 0.537316056656 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996; K. J. Nurmela, Constructing spherical codes by global optimization methods, Research Report A32, Digital Systems Laboratory, Helsinki University of Technology, 1995, https://research.ics.aalto.fi/publications/info/bibdb.HUT-TCS-A32.shtml.
4 26 0.540789617698 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996; K. J. Nurmela, Constructing spherical codes by global optimization methods, Research Report A32, Digital Systems Laboratory, Helsinki University of Technology, 1995, https://research.ics.aalto.fi/publications/info/bibdb.HUT-TCS-A32.shtml.
3392⁢x6+2112⁢x5−496⁢x4−656⁢x3−132⁢x2+6⁢x−1
4 27 0.557591351181 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
794⁢x5+393⁢x4−344⁢x3−82⁢x2+6⁢x+1
4 28 0.567338804075 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996; K. J. Nurmela, Constructing spherical codes by global optimization methods, Research Report A32, Digital Systems Laboratory, Helsinki University of Technology, 1995, https://research.ics.aalto.fi/publications/info/bibdb.HUT-TCS-A32.shtml.
4 29 0.573148530449 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
Minimal polynomial listed in plain text data
4 30 0.584232813931 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
4 31 0.590765838581 H. Cohn, Small spherical and projective codes, data set, updated 2024, DSpace@MIT, https://hdl.handle.net/1721.1/142661.
4 32 0.595720149236 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996; K. J. Nurmela, Constructing spherical codes by global optimization methods, Research Report A32, Digital Systems Laboratory, Helsinki University of Technology, 1995, https://research.ics.aalto.fi/publications/info/bibdb.HUT-TCS-A32.shtml.
4 33 0.600755407756 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
4 34 0.610128556790 Henry Cohn, 2024.
4 35 0.621523986641 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
4 36 0.628309089475 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
4 37 0.630368722499 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996; K. J. Nurmela, Constructing spherical codes by global optimization methods, Research Report A32, Digital Systems Laboratory, Helsinki University of Technology, 1995, https://research.ics.aalto.fi/publications/info/bibdb.HUT-TCS-A32.shtml.
4 38 0.640732732793 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
4 39 0.646928247960 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996; K. J. Nurmela, Constructing spherical codes by global optimization methods, Research Report A32, Digital Systems Laboratory, Helsinki University of Technology, 1995, https://research.ics.aalto.fi/publications/info/bibdb.HUT-TCS-A32.shtml.
4 40 0.650497801063 J. Wang, Finding and investigating exact spherical codes, Experiment. Math. 18 (2009), 249–256, https://projecteuclid.org/euclid.em/1259158434.
4 41 0.655274051124 Henry Cohn, 2024.
4 42 0.658420878517 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
4 43 0.662667198430 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996; K. J. Nurmela, Constructing spherical codes by global optimization methods, Research Report A32, Digital Systems Laboratory, Helsinki University of Technology, 1995, https://research.ics.aalto.fi/publications/info/bibdb.HUT-TCS-A32.shtml.
4 44 0.668804906276 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
36⁢x8−60⁢x7+481⁢x6+166⁢x5−205⁢x4−116⁢x3+11⁢x2+10⁢x+1
4 45 0.676924957837 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
4 46 0.682325866078 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
4 47 0.685400852293 Henry Cohn, 2025.
4 48 0.689831186714 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
4 49 0.693413660571 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
4 50 0.693726127145 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996; K. J. Nurmela, Constructing spherical codes by global optimization methods, Research Report A32, Digital Systems Laboratory, Helsinki University of Technology, 1995, https://research.ics.aalto.fi/publications/info/bibdb.HUT-TCS-A32.shtml.
Minimal polynomial listed in plain text data
4 51 0.701375493264 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
4 52 0.703627792371 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
4 53 0.707671488219 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
4 54 0.709714380727 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
4 55 0.715661893754 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
4 56 0.719201427062 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
4 57 0.722366203194 Henry Cohn, 2025.
4 58 0.724963759986 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
4 59 0.726684594037 Henry Cohn, 2025.
4 60 0.728768479335 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
4 61 0.731517689032 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
4 62 0.733882910506 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
4 63 0.738725371284 Henry Cohn, 2025.
4 64 0.739558032728 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
4 65 0.742483255369 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
4 66 0.745996162085 Henry Cohn, 2025.
4 67 0.748966563154 Henry Cohn, 2025.
4 68 0.751044149551 Henry Cohn, 2025.
4 69 0.752628993819 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
4 70 0.753734038368 Henry Cohn, 2025.
4 71 0.756373364760 Henry Cohn, 2025.
4 72 0.758022144348 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
4 73 0.759191014470 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
4 74 0.759545691353 Henry Cohn, 2025.
4 75 0.760558878464 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
4 76 0.761064664765 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
Minimal polynomial listed in plain text data
4 77 0.765200782016 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 78 0.768765601292 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
4 79 0.773060404397 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
4 80 0.775691894892 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
4 81 0.777799033764 Henry Cohn, 2025.
4 82 0.779753559198 Henry Cohn, 2025.
4 83 0.781053544402 Henry Cohn, 2025.
4 84 0.782373204314 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
4 85 0.783715044186 Henry Cohn, 2024.
4 86 0.784899010819 Henry Cohn, 2026.
4 87 0.785487328991 Henry Cohn, 2025.
4 88 0.785927649195 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
4 89 0.788520093069 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
4 90 0.790391197000 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
4 91 0.791393154383 Henry Cohn, 2025.
4 92 0.792211293351 Henry Cohn, 2025.
4 93 0.793047017514 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
4 94 0.793553793569 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
4 95 0.796982807052 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
4 96 0.797980534415 Henry Cohn, 2025.
4 97 0.799480375605 Henry Cohn, 2023.
4 98 0.800757084766 Henry Cohn, 2026.
4 99 0.801793100994 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
4 100 0.803178722499 Henry Cohn, 2025.
4 101 0.803884649087 Henry Cohn, 2025.
4 102 0.804699654814 Henry Cohn, 2025.
4 103 0.805093331367 Henry Cohn, 2025.
4 104 0.806308735044 Henry Cohn, 2025.
4 105 0.807104881635 Henry Cohn, 2026.
4 106 0.807600771583 Henry Cohn, 2025.
4 107 0.808031793624 Henry Cohn, 2025.
4 108 0.808461453357 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 109 0.808686924144 Henry Cohn, 2026.
4 110 0.808927278464 Henry Cohn, 2026.
4 111 0.808991157916 Henry Cohn, 2025.
4 112 0.809016055614 Henry Cohn, 2025.
4 113 0.809016993589 Henry Cohn, 2026.
4 114 0.809016994375 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
4⁢x2−2⁢x−1
4 115 0.809016994375 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
4⁢x2−2⁢x−1
4 116 0.809016994375 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
4⁢x2−2⁢x−1
4 117 0.809016994375 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
4⁢x2−2⁢x−1
4 118 0.809016994375 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
4⁢x2−2⁢x−1
4 119 0.809016994375 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
4⁢x2−2⁢x−1
4 120* 0.809016994375 L. Schläfli, Theorie der vielfachen Kontinuität [1852], Denkschriften der Schweizerischen naturforschenden Gesellschaft, vol. 38, J. H. Graf, Bern, 1901; K. Böröczky, Packing of spheres in spaces of constant curvature, Acta Mathematica Academiae Scientiarum Hungarica 32 (1978), 243–261, doi:10.1007/BF01902361.
4⁢x2−2⁢x−1
4 121 0.824637992952 Henry Cohn, 2026.
4 122 0.826366133292 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 123 0.827329141763 Henry Cohn, 2026.
4 124 0.829076814196 Henry Cohn, 2025.
4 125 0.830275122838 Henry Cohn, 2025.
4 126 0.831265387603 Henry Cohn, 2026.
4 127 0.832257256453 Henry Cohn, 2026.
4 128 0.833179033616 Henry Cohn, 2026.
4 129 0.833853106202 Henry Cohn, 2025.
4 130 0.834729130389 Henry Cohn, 2025.
4 131 0.835330073631 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 132 0.835824295438 WolfFrogs, 2026.
4 133 0.836898862653 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 134 0.837404919734 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 135 0.837973296726 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 136 0.838381205119 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 137 0.838774742033 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 138 0.839060498538 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 139 0.839472488807 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 140 0.839788592759 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 141 0.840151651527 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 142 0.840928789319 Henry Cohn, 2025.
4 143 0.842625863066 Henry Cohn, 2025.
4 144 0.843224738610 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 145 0.845004703395 Henry Cohn, 2025.
4 146 0.846032955845 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 147 0.846808291003 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 148 0.847320837337 Henry Cohn, 2025.
4 149 0.847701351395 Henry Cohn, 2025.
4 150 0.848007962329 Henry Cohn, 2026, needs more optimization.
4 151 0.848381266848 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 152 0.848701931506 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 153 0.849102358280 Henry Cohn, 2026, needs more optimization.
4 154 0.849441145118 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 155 0.850521509148 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 156 0.852364181174 Henry Cohn, 2025.
4 157 0.853098036527 Henry Cohn, 2025.
4 158 0.853541001367 Henry Cohn, 2025.
4 159 0.853832223138 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 160 0.854015402705 Henry Cohn, 2025.
4 161 0.855034788504 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 162 0.856011990176 Henry Cohn, 2025.
4 163 0.856415430312 Henry Cohn, 2026, needs more optimization.
4 164 0.856668082967 Henry Cohn, 2025.
4 165 0.856908324217 Henry Cohn, 2024.
4 166 0.857225212584 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 167 0.857623781724 Henry Cohn, 2025.
4 168 0.859313315479 Henry Cohn, 2026, needs more optimization.
4 169 0.860416214468 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 170 0.861163976919 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 171 0.861860457084 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 172 0.862259278969 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 173 0.862713337568 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 174 0.863032216222 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 175 0.863219626411 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 176 0.863541636392 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 177 0.863735316880 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 178 0.863916425407 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 179 0.864723195011 Henry Cohn, 2025.
4 180 0.865779496303 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 181 0.866478028994 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 182 0.866999103714 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 183 0.867321728092 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 184 0.867752439883 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 185 0.868210887137 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 186 0.868503854814 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 187 0.868812628892 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 188 0.869170807232 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 189 0.869490893942 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 190 0.870034930876 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 191 0.870814241870 Henry Cohn, 2025.
4 192 0.871291918040 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 193 0.871542554779 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 194 0.871792013221 Henry Cohn, 2025.
4 195 0.872104790050 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 196 0.872619850989 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 197 0.873486718836 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 198 0.874154745460 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 199 0.874934007957 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 200 0.875565480080 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 201 0.875972803452 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 202 0.876364532678 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 203 0.876769879845 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 204 0.877141575051 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 205 0.877397692359 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 206 0.877688778825 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 207 0.877931193622 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 208 0.878149163396 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 209 0.878612898618 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 210 0.879170006117 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 211 0.879424605083 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 212 0.879588052399 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 213 0.879782298893 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 214 0.879945189010 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 215 0.880272662054 Henry Cohn, 2025.
4 216 0.880886649220 Henry Cohn, 2026, needs more optimization.
4 217 0.881471958903 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 218 0.881811305066 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 219 0.881951865237 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 220 0.882544919478 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 221 0.882998375696 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 222 0.883456069925 Henry Cohn, 2025.
4 223 0.884116929277 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 224 0.884567598136 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 225 0.884939723272 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 226 0.885215992226 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 227 0.885494793921 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 228 0.885767422205 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 229 0.886031940795 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 230 0.886364304610 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 231 0.886733709925 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 232 0.887068100429 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 233 0.887295434839 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 234 0.887585611623 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 235 0.887849817683 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 236 0.888072337269 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 237 0.888442766077 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 238 0.888868274572 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 239 0.889105362853 Henry Cohn, 2026.
4 240 0.889477098095 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 241 0.889798189525 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 242 0.890094523657 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 243 0.890327494714 Henry Cohn, 2025.
4 244 0.890617063831 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 245 0.890928343137 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 246 0.891229627359 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 247 0.891664059840 Henry Cohn, 2026, needs more optimization.
4 248 0.891976307814 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 249 0.892189641969 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 250 0.892630822838 Henry Cohn, 2026, needs more optimization.
4 251 0.892919512389 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 252 0.893141824147 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 253 0.893447597246 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 254 0.893683630257 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 255 0.893979929375 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 256 0.894458817070 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 257 0.894676913068 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 258 0.894979744467 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 259 0.895312799200 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 260 0.895514991230 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 261 0.895719186710 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 262 0.895872566241 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 263 0.896110999549 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 264 0.896385068073 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 265 0.896712282757 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 266 0.896886624454 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 267 0.897043320127 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 268 0.897211713567 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 269 0.897441326108 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 270 0.897705134211 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 271 0.897956854415 WolfFrogs, 2026.
4 272 0.898160315150 Henry Cohn, 2026, needs more optimization.
4 273 0.898312901925 WolfFrogs, 2026.
4 274 0.898501943447 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 275 0.898694169669 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 276 0.898928185300 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 277 0.899220630949 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 278 0.899374768251 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 279 0.899512341354 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 280 0.899632074734 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 281 0.900108840945 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 282 0.900626807599 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 283 0.900975636655 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 284 0.901133046719 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 285 0.901205680841 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 286 0.901347768965 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 287 0.901396418795 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 288 0.901415628271 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 289 0.902147118232 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 290 0.902628071679 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 291 0.903091733725 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 292 0.903471504338 Henry Cohn, 2026, needs more optimization.
4 293 0.903697039427 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 294 0.903946299821 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 295 0.904181784760 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 296 0.904398447838 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 297 0.904599994876 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 298 0.904831524751 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 299 0.905018028171 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 300 0.905130142401 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 301 0.905236043122 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 302 0.905620556225 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 303 0.905822596112 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 304 0.905943119583 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 305 0.906204165764 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 306 0.906439446769 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 307 0.906617510667 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 308 0.906838944174 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 309 0.906997885231 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 310 0.907191157217 Arhan Canli, 2026.
4 311 0.907399977535 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 312 0.907603233813 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 313 0.907775211720 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 314 0.908030505206 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 315 0.908208745438 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 316 0.908393194062 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 317 0.908606509747 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 318 0.908752248940 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 319 0.908967805697 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 320 0.909065073391 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 321 0.909394517495 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 322 0.909517428284 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 323 0.909658884266 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 324 0.909779049491 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 325 0.909962141544 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 326 0.910100840900 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 327 0.910270353608 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 328 0.910387032754 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 329 0.910628876799 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 330 0.910807685798 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 331 0.911047740827 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 332 0.911268209081 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 333 0.911437609294 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 334 0.911626472720 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 335 0.911849672707 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 336 0.911992187992 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 337 0.912164170114 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 338 0.912352631153 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 339 0.912515606927 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 340 0.912640809843 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 341 0.912704448322 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 342 0.912908591861 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 343 0.913079603359 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 344 0.913225557771 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 345 0.913344098227 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 346 0.913474514501 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 347 0.913618377940 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 348 0.913874985347 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 349 0.914223948768 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 350 0.914423114200 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 351 0.914622374712 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 352 0.914759341781 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 353 0.914881983628 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 354 0.915025153648 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 355 0.915182287313 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 356 0.915333949173 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 357 0.915491374249 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 358 0.915665862738 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 359 0.915796345877 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 360 0.915905644540 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 361 0.916062572957 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 362 0.916202789805 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 363 0.916327076943 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 364 0.916486139182 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 365 0.916624485589 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 366 0.916748136675 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 367 0.916882943297 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 368 0.916997602816 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 369 0.917088962587 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 370 0.917242999091 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 371 0.917382656503 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 372 0.917504090906 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 373 0.917605928234 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 374 0.917757694308 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 375 0.917869187384 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 376 0.918062855297 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 377 0.918251119123 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 378 0.918436180707 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 379 0.918579341419 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 380 0.918651160316 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 381 0.918762032836 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 382 0.918926834738 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 383 0.919075310858 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 384 0.919224095482 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 385 0.919317490909 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 386 0.919407387813 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 387 0.919468891854 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 388 0.919495433313 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 389 0.919667955892 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 390 0.919818909563 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 391 0.920025487324 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 392 0.920159769845 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 393 0.920319488453 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 394 0.920398990111 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 395 0.920432079909 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 396 0.920515273268 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 397 0.920799688032 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 398 0.920982368400 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 399 0.921121061194 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 400 0.921271456899 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 401 0.921415994076 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 402 0.921501386899 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 403 0.921599188693 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 404 0.921665001170 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 405 0.921743823809 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 406 0.921817187372 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 407 0.921904519375 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 408 0.921990209148 Pavlos Moros, 2026.
4 409 0.922310560935 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 410 0.922611954286 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 411 0.922696137610 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 412 0.922838360351 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 413 0.922993812241 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 414 0.923098742885 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 415 0.923223858695 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 416 0.923319766287 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 417 0.923435660747 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 418 0.923537420842 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 419 0.923706208207 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 420 0.923815406748 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 421 0.923926199694 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 422 0.924019686431 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 423 0.924253108786 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 424 0.924438407236 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 425 0.924562704668 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 426 0.924682230126 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 427 0.924813846888 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 428 0.924925377332 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 429 0.925038323965 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 430 0.925156636548 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 431 0.925274677385 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 432 0.925422507023 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 433 0.925585967502 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 434 0.925725827021 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 435 0.925827582283 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 436 0.925981018356 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 437 0.926142953257 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 438 0.926222764221 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 439 0.926359979175 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 440 0.926432792555 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 441 0.926550948849 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 442 0.926644809175 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 443 0.926720036198 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 444 0.926800615900 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 445 0.926866032028 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 446 0.927011244619 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 447 0.927110693273 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 448 0.927263989666 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 449 0.927408966142 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 450 0.927513358036 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 451 0.927611004032 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 452 0.927687890534 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 453 0.927828488180 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 454 0.927912864817 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 455 0.927985466199 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 456 0.928040782158 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 457 0.928135280708 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 458 0.928268618523 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 459 0.928414958646 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 460 0.928491821724 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 461 0.928585263252 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 462 0.928647375151 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 463 0.928750893161 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 464 0.928857519838 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 465 0.928935726341 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 466 0.929012388008 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 467 0.929098825548 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 468 0.929159239546 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 469 0.929313415841 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 470 0.929424756820 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 471 0.929596568928 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 472 0.929720316348 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 473 0.929807687242 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 474 0.929900206322 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 475 0.929962794498 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 476 0.930097236129 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 477 0.930187612021 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 478 0.930296064018 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 479 0.930399562072 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 480 0.930544103457 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 481 0.930618385950 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 482 0.930743558099 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 483 0.930829856163 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 484 0.930910368024 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 485 0.931022746840 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 486 0.931061346666 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 487 0.931186917778 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 488 0.931282048328 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 489 0.931375886074 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 490 0.931461221147 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 491 0.931593595014 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 492 0.931665131260 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 493 0.931713675705 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 494 0.931747131247 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 495 0.931830446857 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 496 0.931846127544 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 497 0.931862957199 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 498 0.931900726504 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 499 0.931971011451 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 500 0.932058577211 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 501 0.932126145628 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 502 0.932164943908 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 503 0.932308604670 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 504 0.932405882849 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 505 0.932635493928 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 506 0.932720245164 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 507 0.932811334891 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 508 0.932906571563 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 509 0.932976051070 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 510 0.933043859071 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 511 0.933123032165 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 512 0.933211302199 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 513 0.933275988108 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 514 0.933376754077 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 515 0.933438700706 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 516 0.933507343801 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 517 0.933693250256 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 518 0.933819334444 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 519 0.933909136763 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 520 0.933982317772 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 521 0.934095470596 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 522 0.934205969613 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 523 0.934327053585 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 524 0.934392219426 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 525 0.934518004004 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 526 0.934622453189 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 527 0.934702597820 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 528 0.934795043814 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 529 0.934876829410 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 530 0.934951125065 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 531 0.935031068759 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 532 0.935107225574 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 533 0.935242552051 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 534 0.935351572128 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 535 0.935439854771 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 536 0.935545287532 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 537 0.935633330312 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 538 0.935705266425 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 539 0.935737935789 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 540 0.935802498782 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 541 0.935873515729 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 542 0.935944032615 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 543 0.936006304478 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 544 0.936147098984 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 545 0.936194816493 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 546 0.936310305415 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 547 0.936471207403 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 548 0.936534159036 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 549 0.936570376896 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 550 0.936631575737 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 551 0.936702283265 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 552 0.936762889224 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 553 0.936824741407 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 554 0.936873884813 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 555 0.936961298805 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 556 0.937013387983 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 557 0.937077507502 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 558 0.937138809008 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 559 0.937221549550 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 560 0.937342264363 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 561 0.937424814537 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 562 0.937491593628 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 563 0.937576197805 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 564 0.937680472008 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 565 0.937783184652 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 566 0.937888551588 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 568 0.937918197905 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 569 0.937951796919 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 570 0.938079468057 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 571 0.938201100811 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 572 0.938277913341 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 573 0.938345897242 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 574 0.938433531884 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 575 0.938498530887 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 576 0.938572386987 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 577 0.938641427650 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 578 0.938714066343 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 579 0.938766049683 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 580 0.938825429906 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 581 0.938917346574 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 582 0.938947677100 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 583 0.939021028342 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 584 0.939099238977 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 585 0.939220291683 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 586 0.939277975381 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 587 0.939381117445 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 588 0.939464069169 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 589 0.939528916278 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 590 0.939540327353 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 591 0.939560404638 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 592 0.939630259716 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 593 0.939694943507 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 594 0.939757026507 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 595 0.939811361634 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 596 0.939849244530 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 597 0.939869311199 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 598 0.939946447533 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 599 0.940006873883 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 600 0.940071939526 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 601 0.940175079819 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 602 0.940202529909 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 603 0.940264189437 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 604 0.940314706849 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 605 0.940391305031 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 606 0.940443750898 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 607 0.940513609731 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 608 0.940608161974 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 609 0.940647777063 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 610 0.940702142551 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 611 0.940771804074 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 612 0.940859439133 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 613 0.940922046030 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 614 0.940999770899 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 615 0.941050631714 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 616 0.941140654703 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 617 0.941222268047 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 618 0.941310643996 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 619 0.941371144521 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 620 0.941456959639 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 621 0.941489300583 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 622 0.941592089348 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 623 0.941626935408 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 624 0.941713433623 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 625 0.941769899299 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 626 0.941830498744 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 627 0.941894242904 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 628 0.941949734067 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 629 0.942008148904 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 630 0.942116466285 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 631 0.942124632798 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 632 0.942185047326 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 633 0.942211399547 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 634 0.942246372866 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 635 0.942340255183 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 636 0.942425593166 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 638 0.942480747963 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 639 0.942531458499 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 640 0.942575070022 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 641 0.942629301868 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 642 0.942664286261 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 643 0.942744679211 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 644 0.942791560770 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 645 0.942808001917 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 646 0.942835310367 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 647 0.942894167096 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 648 0.942954654436 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 649 0.942981438067 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 650 0.943058001580 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 651 0.943145893831 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 652 0.943218028846 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 653 0.943282422509 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 654 0.943323310054 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 655 0.943350276535 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 656 0.943401605464 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 657 0.943436183705 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 658 0.943473318383 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 659 0.943526401460 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 660 0.943578798861 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 661 0.943616081172 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 662 0.943647927785 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 663 0.943676068419 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 664 0.943694722960 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 665 0.943736136920 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 666 0.943767303116 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 667 0.943790146895 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 668 0.943841753416 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 669 0.943883434305 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 670 0.943905809646 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 671 0.943966174144 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 672 0.944025376066 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 673 0.944105028323 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 674 0.944143110437 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 675 0.944211115487 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 676 0.944265216810 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 677 0.944326538482 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 678 0.944363147553 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 679 0.944401746694 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 680 0.944431798875 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 681 0.944507262202 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 682 0.944551428296 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 683 0.944649809111 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 684 0.944718310569 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 685 0.944768305408 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 686 0.944813921100 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 687 0.944859149626 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 688 0.944931346835 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 689 0.945028309292 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 690 0.945118298275 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 691 0.945236533545 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 692 0.945323976775 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 693 0.945373176833 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 694 0.945434254247 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 695 0.945490673722 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 696 0.945556552158 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 697 0.945616550543 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 699 0.945693769130 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 700 0.945777885363 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 701 0.945845506574 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 702 0.945902812785 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 703 0.945966542204 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 704 0.946039570924 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 705 0.946092399817 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 706 0.946114015992 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 707 0.946187307547 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 708 0.946273310758 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 709 0.946322854117 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 710 0.946389061486 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 711 0.946404618236 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 712 0.946441695893 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 713 0.946479398920 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 714 0.946534446409 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 715 0.946591903738 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 716 0.946649562766 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 717 0.946693991179 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 718 0.946754785388 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 719 0.946800325694 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 720 0.946821622457 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 721 0.946862718581 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 722 0.946907452604 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 723 0.946964782093 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 724 0.946987919342 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 725 0.947014045250 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 726 0.947025044931 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 727 0.947084064371 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 728 0.947123668029 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 729 0.947168832135 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 730 0.947228360162 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 731 0.947261324030 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 732 0.947308225844 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 733 0.947352631517 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 734 0.947394067886 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 735 0.947437364380 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 736 0.947466918581 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 737 0.947527503917 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 738 0.947570419206 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 739 0.947633020807 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 740 0.947673097259 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 741 0.947729852081 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 742 0.947808051524 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 743 0.947851247914 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 744 0.947865855613 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 745 0.947905615771 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 746 0.947928401743 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 747 0.947974272802 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 748 0.947997773905 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 749 0.948020042906 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 750 0.948072476621 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 751 0.948152783064 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 752 0.948165835240 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 753 0.948207433680 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 754 0.948269198988 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 755 0.948290259594 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 756 0.948355333534 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 757 0.948401411730 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 758 0.948417124868 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 759 0.948484774090 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 760 0.948508436355 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 761 0.948574026193 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 762 0.948620439130 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 763 0.948677246953 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 764 0.948723328169 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 765 0.948764100221 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 766 0.948801579882 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 767 0.948831173242 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 768 0.948872350261 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 769 0.948928657859 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 770 0.948968126903 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 771 0.949003728095 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 772 0.949050577613 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 773 0.949096008541 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 774 0.949136209658 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 775 0.949165750644 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 776 0.949213538732 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 777 0.949257739389 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 778 0.949281830124 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 779 0.949315900763 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 780 0.949375011354 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 781 0.949410601333 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 782 0.949436553769 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 783 0.949466669203 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 784 0.949517160465 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 785 0.949537880539 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 786 0.949586803205 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 787 0.949621245430 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 788 0.949658271568 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 789 0.949700126834 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 790 0.949744427048 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 791 0.949775702634 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 792 0.949808245057 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 793 0.949840109310 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 794 0.949869517610 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 795 0.949908786714 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 796 0.949937020615 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 797 0.949966944148 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 798 0.949990870477 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 799 0.950014670752 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 800 0.950029568300 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 801 0.950071284222 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 802 0.950109031048 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 803 0.950140942508 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 804 0.950164229399 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 805 0.950210301773 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 806 0.950224337197 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 807 0.950246632070 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 808 0.950275878751 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 809 0.950296638182 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 810 0.950307608678 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 811 0.950321351128 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 812 0.950361061467 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 813 0.950373000245 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 814 0.950385896326 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 815 0.950421676604 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 816 0.950448275553 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 817 0.950472563444 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 818 0.950489956980 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 819 0.950528775384 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 820 0.950557305890 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 821 0.950567739679 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 822 0.950595331679 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 823 0.950598961936 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 824 0.950622331945 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 825 0.950641800333 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 826 0.950649733200 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 827 0.950666151522 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 828 0.950682658845 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 829 0.950682659515 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 830 0.950699235322 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 831 0.950707846321 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 832 0.950732492617 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 833 0.950745012895 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 834 0.950749338051 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 835 0.950760231063 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 836 0.950761230198 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 837 0.950764138804 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 838 0.950779009109 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 839 0.950791291943 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 840 0.950791926923 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 841 0.950938141957 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 842 0.951015909382 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 843 0.951100006919 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 844 0.951162769106 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 845 0.951266655116 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 846 0.951316305793 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 847 0.951318556932 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 848 0.951338628420 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 849 0.951382211178 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 850 0.951426235924 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 851 0.951459190721 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 852 0.951485696068 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 853 0.951617877794 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 854 0.951704137402 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 855 0.951809705736 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 856 0.951855428699 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 857 0.951907792562 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 858 0.951986092750 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 859 0.952063051887 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 860 0.952184595382 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 861 0.952247731685 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 862 0.952320345036 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 863 0.952354991043 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 864 0.952428160247 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 865 0.952508093113 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 866 0.952534007654 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 867 0.952549573810 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 868 0.952595013145 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 869 0.952676782519 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 870 0.952772544980 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 871 0.952790752822 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 872 0.952809582193 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 873 0.952843919603 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 874 0.952879590725 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 875 0.952916578385 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 876 0.952955686715 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 877 0.952987397058 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 878 0.953021676970 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 879 0.953072979618 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 880 0.953077820320 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 881 0.953110649058 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 882 0.953140035204 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 883 0.953174781106 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 884 0.953185498287 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 885 0.953196940320 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 886 0.953223340798 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 887 0.953236565202 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 888 0.953270170768 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 889 0.953316989233 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 890 0.953355339685 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 891 0.953362217823 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 892 0.953395918214 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 893 0.953428967000 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 894 0.953448752637 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 895 0.953483912629 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 896 0.953496298649 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 897 0.953536429924 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 898 0.953584887442 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 899 0.953599486568 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 900 0.953654112934 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 901 0.953709460343 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 902 0.953750536510 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 903 0.953777766643 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 904 0.953808012936 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 905 0.953855316373 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 906 0.953901297585 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 907 0.953929856976 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 908 0.954021639051 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 909 0.954049509324 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 910 0.954057276222 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 911 0.954093090134 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 912 0.954109946207 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 913 0.954126615041 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 914 0.954146083719 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 915 0.954158840080 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 916 0.954174012021 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 917 0.954178871220 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 918 0.954238343957 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 919 0.954288227705 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 920 0.954316060579 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 921 0.954367803728 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 922 0.954419503678 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 923 0.954457677326 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 924 0.954498253389 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 925 0.954544366870 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 926 0.954575487835 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 927 0.954638435261 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 928 0.954674703124 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 929 0.954707865092 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 930 0.954752285298 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 931 0.954794335400 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 932 0.954814046648 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 933 0.954839376387 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 934 0.954875010234 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 935 0.954911641901 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 936 0.954960533933 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 937 0.954991117846 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 938 0.955020178803 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 939 0.955049026055 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 940 0.955099863315 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 941 0.955150661487 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 942 0.955184554658 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 943 0.955207219289 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 944 0.955227589648 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 945 0.955257353403 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 946 0.955290932577 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 947 0.955317129394 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 948 0.955333790807 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 949 0.955361053702 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 950 0.955388506484 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 951 0.955413714247 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 952 0.955429640040 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 953 0.955474377748 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 954 0.955505603775 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 955 0.955543342145 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 956 0.955587905426 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 957 0.955622150851 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 958 0.955669795046 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 959 0.955696617124 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 960 0.955719198813 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 961 0.955760256853 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 962 0.955825676949 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 963 0.955848692869 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 964 0.955859926117 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 965 0.955903676415 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 966 0.955966171664 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 967 0.955975653685 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 968 0.956002872174 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 969 0.956017995605 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 970 0.956035331517 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 971 0.956060489150 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 972 0.956071941362 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 973 0.956100999013 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 974 0.956120441097 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 975 0.956149776790 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 976 0.956196270755 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 977 0.956236080980 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 978 0.956263039230 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 979 0.956302456832 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 980 0.956342533596 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 981 0.956388634275 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 982 0.956417991917 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 983 0.956437835001 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 984 0.956467600056 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 985 0.956488154534 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 986 0.956555171372 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 987 0.956568118551 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 988 0.956608822155 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 989 0.956648224504 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 990 0.956691136018 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 991 0.956698206925 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 992 0.956755454106 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 993 0.956813658963 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 994 0.956814738649 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 995 0.956815550039 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 996 0.956826595644 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 997 0.956850552457 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 998 0.956903763081 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 999 0.956924087999 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 1000 0.956933999617 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 1001 0.956956637422 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 1002 0.956986350364 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 1003 0.957004222861 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 1004 0.957046262650 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 1005 0.957081259283 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 1006 0.957123558478 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 1007 0.957158093802 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 1008 0.957164728871 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 1009 0.957185456107 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 1010 0.957226276210 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 1011 0.957265914684 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 1012 0.957284869662 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 1013 0.957343108428 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 1014 0.957383881934 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 1015 0.957402820548 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 1016 0.957475815939 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 1017 0.957486087287 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 1018 0.957497097726 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4 1019 0.957529497604 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 1020 0.957558575451 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 1021 0.957594435273 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 1022 0.957609664457 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 1023 0.957639631389 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
4 1024 0.957669668284 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 11 0.132853542599 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996; K. J. Nurmela, Constructing spherical codes by global optimization methods, Research Report A32, Digital Systems Laboratory, Helsinki University of Technology, 1995, https://research.ics.aalto.fi/publications/info/bibdb.HUT-TCS-A32.shtml.
45⁢x3−25⁢x2−5⁢x+1
5 12 0.153931605034 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996; K. J. Nurmela, Constructing spherical codes by global optimization methods, Research Report A32, Digital Systems Laboratory, Helsinki University of Technology, 1995, https://research.ics.aalto.fi/publications/info/bibdb.HUT-TCS-A32.shtml.
25⁢x4+30⁢x3+24⁢x2+2⁢x−1
5 13 0.187259851883 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996; K. J. Nurmela, Constructing spherical codes by global optimization methods, Research Report A32, Digital Systems Laboratory, Helsinki University of Technology, 1995, https://research.ics.aalto.fi/publications/info/bibdb.HUT-TCS-A32.shtml.
17⁢x3−5⁢x2−5⁢x+1
5 14 0.2 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996; K. J. Nurmela, Constructing spherical codes by global optimization methods, Research Report A32, Digital Systems Laboratory, Helsinki University of Technology, 1995, https://research.ics.aalto.fi/publications/info/bibdb.HUT-TCS-A32.shtml.
5⁢x−1
5 15 0.2 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996; K. J. Nurmela, Constructing spherical codes by global optimization methods, Research Report A32, Digital Systems Laboratory, Helsinki University of Technology, 1995, https://research.ics.aalto.fi/publications/info/bibdb.HUT-TCS-A32.shtml.
5⁢x−1
5 16* 0.2 T. Gosset, On the regular and semi-regular figures in space of n dimensions, Messenger Math. 29 (1900), 43–48; V. I. Levenšteĭn, On bounds for packings in n-dimensional Euclidean space (Russian), Dokl. Akad. Nauk SSSR 245 (1979), 1299–1303, English translation in Soviet Math. Dokl. 20 (1979), 417–421.
5⁢x−1
5 17 0.270475835269 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996; K. J. Nurmela, Constructing spherical codes by global optimization methods, Research Report A32, Digital Systems Laboratory, Helsinki University of Technology, 1995, https://research.ics.aalto.fi/publications/info/bibdb.HUT-TCS-A32.shtml.
9⁢x4−16⁢x3−10⁢x2+1
5 18 0.275501741660 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996; K. J. Nurmela, Constructing spherical codes by global optimization methods, Research Report A32, Digital Systems Laboratory, Helsinki University of Technology, 1995, https://research.ics.aalto.fi/publications/info/bibdb.HUT-TCS-A32.shtml.
484⁢x5−488⁢x4+97⁢x3+17⁢x2−x−1
5 19 0.291822399025 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996; K. J. Nurmela, Constructing spherical codes by global optimization methods, Research Report A32, Digital Systems Laboratory, Helsinki University of Technology, 1995, https://research.ics.aalto.fi/publications/info/bibdb.HUT-TCS-A32.shtml.
57⁢x6−38⁢x5−109⁢x4+32⁢x3+23⁢x2−10⁢x+1
5 20 0.299385692900 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996; K. J. Nurmela, Constructing spherical codes by global optimization methods, Research Report A32, Digital Systems Laboratory, Helsinki University of Technology, 1995, https://research.ics.aalto.fi/publications/info/bibdb.HUT-TCS-A32.shtml.
5⁢x3+13⁢x2−x−1
5 21 0.314916957176 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996; K. J. Nurmela, Constructing spherical codes by global optimization methods, Research Report A32, Digital Systems Laboratory, Helsinki University of Technology, 1995, https://research.ics.aalto.fi/publications/info/bibdb.HUT-TCS-A32.shtml.
Minimal polynomial listed in plain text data
5 22 0.354995034167 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
5 23 0.369772696944 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
5 24 0.374232982466 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996; K. J. Nurmela, Constructing spherical codes by global optimization methods, Research Report A32, Digital Systems Laboratory, Helsinki University of Technology, 1995, https://research.ics.aalto.fi/publications/info/bibdb.HUT-TCS-A32.shtml.
1620⁢x10+5508⁢x9−5751⁢x8−2406⁢x7+2055⁢x6+276⁢x5+559⁢x4−210⁢x3−127⁢x2+48⁢x−4
5 25 0.379621025394 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996; K. J. Nurmela, Constructing spherical codes by global optimization methods, Research Report A32, Digital Systems Laboratory, Helsinki University of Technology, 1995, https://research.ics.aalto.fi/publications/info/bibdb.HUT-TCS-A32.shtml.
5 26 0.390240659505 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
Minimal polynomial listed in plain text data
5 27 0.401659264277 H. Cohn, Small spherical and projective codes, data set, 2022, DSpace@MIT, https://hdl.handle.net/1721.1/142661.
Minimal polynomial listed in plain text data
5 28 0.408169699093 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
5 29 0.411034435092 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
Minimal polynomial listed in plain text data
5 30 0.413029776123 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996; K. J. Nurmela, Constructing spherical codes by global optimization methods, Research Report A32, Digital Systems Laboratory, Helsinki University of Technology, 1995, https://research.ics.aalto.fi/publications/info/bibdb.HUT-TCS-A32.shtml.
269⁢x7−1419⁢x6−283⁢x5+405⁢x4+15⁢x3−9⁢x2−x−1
5 31 0.433911863960 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996; K. J. Nurmela, Constructing spherical codes by global optimization methods, Research Report A32, Digital Systems Laboratory, Helsinki University of Technology, 1995, https://research.ics.aalto.fi/publications/info/bibdb.HUT-TCS-A32.shtml.
Minimal polynomial listed in plain text data
5 32 0.441830743928 H. Cohn, Small spherical and projective codes, data set, 2022, DSpace@MIT, https://hdl.handle.net/1721.1/142661.
8⁢x10−40⁢x9+74⁢x8−78⁢x7+73⁢x6−10⁢x5−3⁢x4+18⁢x3−9⁢x2−2⁢x+1
5 33 0.460004535963 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996; K. J. Nurmela, Constructing spherical codes by global optimization methods, Research Report A32, Digital Systems Laboratory, Helsinki University of Technology, 1995, https://research.ics.aalto.fi/publications/info/bibdb.HUT-TCS-A32.shtml.
5 34 0.470482910392 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
5 35 0.478437929066 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
5 36 0.483999000231 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
49⁢x6−6⁢x5−53⁢x4+12⁢x3+13⁢x2−2⁢x−1
5 37 0.493828518526 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
5 38 0.496243746648 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
5 39 0.499971927191 Henry Cohn, 2025.
5 40 0.5 A. Korkine and G. Zolotareff, Sur les formes quadratiques, Math. Ann. 6 (1873), 366–389, doi:10.1007/BF01442795; J. Leech, Five dimensional non-lattice sphere packings, Canad. Math. Bull. 10 (1967), 387–393, doi:10.4153/CMB-1967-037-5; F. Szöllősi, A note on five dimensional kissing arrangements, Math. Res. Lett. 30 (2023), no. 5, 1609–1615, doi:10.4310/MRL.2023.v30.n5.a13, arXiv:2301.08272; H. Cohn and I. Rajagopal, Variations on five-dimensional sphere packings, preprint, 2024, arXiv:2412.00937.
2⁢x−1
5 41 0.514705973641 Kevin Li, 2026.
5 42 0.518241155863 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
5 43 0.524709601830 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
5 44 0.527457712324 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
5 45 0.535068808289 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
5 46 0.538291308677 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
5 47 0.540668770936 Henry Cohn, 2025.
5 48 0.545112501822 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
5 49 0.546918160679 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
7⁢x2−2⁢x−1
5 50 0.546918160679 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996; T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
7⁢x2−2⁢x−1
5 51 0.554740414282 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
5 52 0.560107395820 Henry Cohn, 2025.
5 53 0.566883217391 Henry Cohn, 2025.
5 54 0.571075948469 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
5 55 0.574604319465 Henry Cohn, 2025.
5 56 0.577211861101 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
5 57 0.577350269190 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
3⁢x2−1
5 58 0.581466614772 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
5 59 0.586915485192 Henry Cohn, 2025.
5 60 0.593346597794 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
5 61 0.596251134208 Henry Cohn, 2025.
5 62 0.599005179291 Henry Cohn, 2023.
5 63 0.603554375176 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
5 64 0.605837370318 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
5 65 0.608465017856 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
5 66 0.608980005147 Henry Cohn, 2025.
5 67 0.611900403428 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
5 68 0.615240038880 Henry Cohn, 2025.
5 69 0.616793716634 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
5 70 0.617072261706 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
5 71 0.617972684614 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
5 72 0.617972684614 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
5 73 0.618033988750 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
x2+x−1
5 74 0.618033988750 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996; T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
x2+x−1
5 75 0.624659315083 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
5 76 0.631404527694 Henry Cohn, 2025.
5 77 0.636485570257 Henry Cohn, 2025.
5 78 0.640234003194 Henry Cohn, 2026.
5 79 0.643522691535 Henry Cohn, 2026.
5 80 0.643720731795 Henry Cohn, 2026.
5 81 0.643769373768 Kevin Li, 2026.
7⁢x4+12⁢x3−2⁢x2−4⁢x−1
5 82 0.651451517528 Henry Cohn, 2025.
5 83 0.655397827372 Henry Cohn, 2026.
5 84 0.657363219512 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 85 0.659252981910 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
5 86 0.660931731561 Henry Cohn, 2025.
5 87 0.662618952049 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
5 88 0.664474200258 Henry Cohn, 2026.
5 89 0.666241382508 Henry Cohn, 2025.
5 90 0.666666666667 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996; T. Ericson and V. Zinoviev, Spherical codes generated by binary partitions of symmetric pointsets, IEEE Trans. Inform. Theory 41 (1995), 107–129, doi:10.1109/18.370114.
3⁢x−2
5 91 0.670415108805 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
5 92 0.671609349084 Henry Cohn, 2026.
5 93 0.673569382595 Henry Cohn, 2026.
5 94 0.674223122932 Henry Cohn, 2026.
5 95 0.674300440403 Henry Cohn, 2026.
5 96 0.674322195950 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 98 0.674324398545 Kevin Li, 2026.
71⁢x6−26⁢x5+21⁢x4−12⁢x3−3⁢x2−2⁢x−1
5 99 0.681881045310 Henry Cohn, 2025.
5 100 0.683153263764 Henry Cohn, 2025.
5 101 0.685186090412 Henry Cohn, 2025.
5 102 0.687426161854 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 103 0.688556975924 Henry Cohn, 2026.
5 104 0.689316429043 Henry Cohn, 2026.
5 105 0.690711966676 Henry Cohn, 2026.
5 106 0.692005491905 Henry Cohn, 2025.
5 107 0.693863512900 Henry Cohn, 2025.
5 108 0.695186314989 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 109 0.696434500115 Henry Cohn, 2025.
5 110 0.697959104275 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 111 0.699314980427 Henry Cohn, 2026.
5 112 0.700442780805 Henry Cohn, 2026.
5 113 0.701786576995 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
5 114 0.702924665447 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 115 0.704050978289 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 116 0.705292505873 Henry Cohn, 2025.
5 117 0.706815348305 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 118 0.707921087441 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 119 0.709175837480 Henry Cohn, 2026.
5 120 0.710234646534 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 121 0.711494596608 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 122 0.712249276837 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
5 123 0.713918633096 Henry Cohn, 2025.
5 124 0.715011517303 Henry Cohn, 2026.
5 125 0.716280109450 Henry Cohn, 2026.
5 126 0.717123270108 Henry Cohn, 2026.
5 127 0.718579275824 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 128 0.719621301444 Henry Cohn, 2025.
5 129 0.720741141724 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 130 0.721711816020 Henry Cohn, 2025.
5 131 0.722525538501 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 132 0.723020248315 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 133 0.725045590778 WolfFrogs, 2026.
5 134 0.726115703492 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 135 0.726958825422 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 136 0.727714141126 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 137 0.728315486874 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 138 0.729430223730 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 139 0.730458979416 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 140 0.731467572640 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 141 0.732043453546 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 142 0.732990908903 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 143 0.733987775534 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 144 0.734665201204 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 145 0.735475119910 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 146 0.736013872443 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 147 0.736834565433 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 148 0.737200174837 Henry Cohn, 2025.
5 149 0.737583885876 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 150 0.737851059324 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 151 0.739099171806 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 152 0.739610877133 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 153 0.740466081028 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 154 0.741203903697 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 155 0.742130735822 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 156 0.742620793805 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 157 0.743138069744 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 158 0.743483529478 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 159 0.743809855738 Henry Cohn, 2026, needs more optimization.
5 160 0.744133760181 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 161 0.747604595136 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 162 0.748758439671 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 163 0.750006570111 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 164 0.750869025261 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 165 0.751869035248 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 166 0.752534073395 Henry Cohn, 2025.
5 167 0.753036090722 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 168 0.753135300368 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 169 0.753183678162 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 170 0.753195472216 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 171 0.756593661726 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 172 0.757288355849 Henry Cohn, 2025.
5 173 0.758561688405 Henry Cohn, 2026, needs more optimization.
5 174 0.759545327556 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 175 0.760533290441 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 176 0.760864184788 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 177 0.761596904179 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 178 0.762101626550 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 179 0.762744044321 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 180 0.763133113335 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 181 0.763915042964 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 182 0.764190108373 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 183 0.764295534277 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 184 0.764714288390 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 185 0.764800980128 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 186 0.765093199807 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 187 0.765206143286 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 188 0.765422856438 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 189 0.765500776263 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 190 0.765637990382 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 191 0.767840675119 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 192 0.768889736738 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 193 0.769641748517 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 194 0.770447164724 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 195 0.770838844751 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 196 0.771956694297 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 197 0.772961996501 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 198 0.773535098509 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 199 0.773844972790 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 200 0.774612560000 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 201 0.775304817912 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 202 0.775876129293 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 203 0.776547362696 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 204 0.777218408765 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 205 0.777873823365 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 206 0.778512531189 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 207 0.779019805504 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 208 0.779695418936 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 209 0.780183809735 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 210 0.780691953810 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 211 0.781066562886 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 212 0.781582875276 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 213 0.782186899352 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 214 0.782805412055 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 215 0.783431882188 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 216 0.783736478918 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 217 0.784099667106 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 218 0.784301401739 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 219 0.784564719729 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 220 0.785603539656 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 221 0.786057546966 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 222 0.786424039661 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 223 0.786877745923 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 224 0.787292850446 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 225 0.787663991864 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 226 0.788135770872 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 227 0.788528450686 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 228 0.788985382956 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 229 0.789353134102 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 230 0.789650157925 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 231 0.789984156226 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 232 0.790719277661 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 233 0.791209625064 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 234 0.791716684605 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 235 0.792059162750 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 236 0.792438145486 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 237 0.792747940452 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 238 0.793102888796 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 239 0.793430770551 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 240 0.793736551712 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 241 0.794252820625 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 242 0.794849340301 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 243 0.795396446331 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 244 0.795769860964 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 245 0.796368395673 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 246 0.796585617722 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 247 0.797176517939 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 248 0.797637065905 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 249 0.798212088354 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 250 0.798443969205 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 251 0.799011079350 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 252 0.799172492360 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 253 0.799619330647 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 254 0.799857880753 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 255 0.799990834566 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 256 0.800321041855 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 257 0.800818692158 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 258 0.801427260606 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 261 0.801436643839 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 262 0.801537716373 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 263 0.801617761185 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 264 0.802014744029 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 265 0.802450555586 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 266 0.803273861578 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 267 0.803752858726 Arhan Canli, 2026.
5 268 0.804320818126 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 269 0.804680079025 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 270 0.805037286643 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 271 0.805251516373 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 272 0.805301665051 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 273 0.805321089257 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 275 0.805432025656 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 276 0.805526920983 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 277 0.806035649643 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 278 0.806184804918 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 279 0.806563273377 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 280 0.806767714460 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 281 0.806945159687 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 282 0.807123589667 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 283 0.807596704143 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 284 0.808036122156 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 285 0.808532269541 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 286 0.808822971693 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 287 0.809376058812 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 288 0.809730904825 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 289 0.810375110877 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 290 0.810952500751 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 291 0.811481566299 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 292 0.812008448325 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 293 0.812400958598 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 294 0.812930870163 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 295 0.813367847792 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 296 0.813903277123 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 297 0.814351054082 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 298 0.814815971786 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 299 0.815220879730 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 300 0.815455960214 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 301 0.815859703186 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 302 0.816186128546 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 303 0.816585973815 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 304 0.816712516388 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 305 0.817255382239 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 306 0.817485960430 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 307 0.817703081677 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 308 0.817959565625 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 309 0.818269389450 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 310 0.818593349239 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 311 0.818799543487 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 312 0.819115259720 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 313 0.819392937598 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 314 0.819673799486 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 315 0.819796782048 Pavlos Moros, 2026.
5 316 0.819894903344 Pavlos Moros, 2026.
5 317 0.819911507979 Pavlos Moros, 2026.
5 318 0.820117422164 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 319 0.820581706782 Pavlos Moros, 2026.
5 320 0.820663042108 Pavlos Moros, 2026.
5 321 0.820848252119 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 322 0.820852185384 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 323 0.820946425600 Arhan Canli, 2026.
5 324 0.821897897631 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 325 0.822158487424 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 326 0.822207521093 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 327 0.822365452419 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 328 0.822423204306 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 329 0.823104246309 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 330 0.823137690011 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 331 0.823207868886 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 332 0.823569904278 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 333 0.823643663089 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 334 0.823946813724 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 335 0.824410637987 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 336 0.824858584275 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 337 0.825038483450 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 338 0.825288968466 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 339 0.825604707471 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 340 0.826072243137 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 341 0.826261733060 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 342 0.826621552014 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 343 0.826828979790 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 344 0.827224428941 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 345 0.827516615966 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 346 0.827878991338 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 347 0.828084788281 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 348 0.828204620793 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 349 0.828487467463 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 350 0.828861912198 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 351 0.829081509690 Arhan Canli, 2026.
5 352 0.829512669912 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 353 0.829762402883 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 354 0.830269171043 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 355 0.830367467483 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 356 0.830728028810 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 357 0.830961923290 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 358 0.831100939988 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 359 0.831496548248 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 360 0.831850886248 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 361 0.832095195023 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 362 0.832315309956 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 363 0.832599718356 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 364 0.832881994292 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 365 0.833151489358 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 368 0.833330736450 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 369 0.833417154919 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 370 0.833557032859 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 371 0.833679834217 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 372 0.833871165707 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 373 0.833981366908 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 374 0.834444115901 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 375 0.834580752886 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 376 0.834731934205 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 377 0.835047660432 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 378 0.835483341161 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 379 0.835613585857 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 380 0.835798944758 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 381 0.835995974557 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 382 0.836325513969 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 383 0.836604396820 Arhan Canli, 2026.
5 384 0.836950183044 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 385 0.837209828384 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 386 0.837429620654 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 387 0.837797303945 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 388 0.837949349641 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 389 0.838355358204 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 390 0.838517342962 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 391 0.838751752590 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 392 0.839059723958 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 393 0.839092143707 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 394 0.839561029854 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 395 0.839745283495 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 396 0.839977066438 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 397 0.840171077526 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 398 0.840273120356 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 399 0.840555652586 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 400 0.840894357812 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 401 0.841007706450 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 402 0.841477083596 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 403 0.841620351543 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 404 0.841867715016 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 405 0.842228413590 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 406 0.842494508126 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 407 0.842615953003 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 408 0.842821595539 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 411 0.842849131793 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 412 0.843019276572 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 413 0.843046068151 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 414 0.843157473848 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 415 0.843355554059 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 416 0.843457079495 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 417 0.843584441333 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 418 0.843773641710 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 420 0.843801811042 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 422 0.843911291137 Arhan Canli, 2026.
5 424 0.844007034364 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 425 0.844122255977 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 426 0.844263720290 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 427 0.844452610418 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 428 0.844543990853 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 429 0.844594291271 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 430 0.844675226753 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 431 0.844777572421 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 432 0.844856609653 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 433 0.845140032294 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 434 0.845230861204 Pavlos Moros, 2026.
5 436 0.845400714906 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 437 0.845448218046 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 438 0.845554678683 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 439 0.845747072131 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 440 0.846258925584 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 441 0.846391467690 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 442 0.846652783022 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 443 0.846706682628 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 444 0.847062785020 Arhan Canli, 2026.
5 445 0.847144729479 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 446 0.847477393670 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 447 0.847698830258 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 450 0.847916486744 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 451 0.847939995199 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 452 0.848131275720 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 453 0.848240351265 Henry Cohn, 2026, needs more optimization.
5 454 0.848483888107 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 455 0.848609221231 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 456 0.848777017872 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 457 0.848874366967 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 458 0.849025448595 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 459 0.849233180191 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 460 0.849308073437 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 461 0.849537521644 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 462 0.849661007844 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 463 0.849885938310 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 464 0.850142479393 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 465 0.850460558092 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 466 0.850792549224 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 467 0.851112088087 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 468 0.851367384767 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 469 0.851677151925 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 470 0.852023098059 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 471 0.852308135576 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 472 0.852512716254 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 473 0.852845811660 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 474 0.853037602903 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 475 0.853253309078 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 476 0.853467558079 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 477 0.853649479631 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 478 0.853952215146 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 479 0.854112108623 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 480 0.854330440330 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 481 0.855995961510 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 482 0.856125491163 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 483 0.856208249793 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 484 0.856380486459 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 485 0.856463812595 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 486 0.856651783818 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 487 0.856831067866 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 488 0.856932073246 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 489 0.857147443193 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 490 0.857315360501 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 491 0.857419798181 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 492 0.857605788666 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 493 0.857744196019 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 494 0.857798082994 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 495 0.857989540728 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 496 0.858096902788 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 497 0.858223837016 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 498 0.858334201741 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 499 0.858529178829 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 500 0.858614419424 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 501 0.858770766773 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 502 0.858857096539 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 503 0.859123404081 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 504 0.859298772137 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 505 0.859356632540 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 506 0.859426482035 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 507 0.859520084588 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 508 0.859614741917 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 509 0.859745104402 Henry Cohn, 2026, needs more optimization.
5 510 0.859903657033 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 511 0.860122041544 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 512 0.860300430467 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 513 0.860422995106 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 514 0.860475773200 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 515 0.860631058314 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 516 0.860866245968 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 517 0.860940537434 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 518 0.861027755729 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 519 0.861151795858 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 520 0.861245176313 Henry Cohn, 2026, needs more optimization.
5 521 0.861380747184 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 522 0.861482217573 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 523 0.861534830308 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 524 0.861764528359 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 528 0.861801720358 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 529 0.862053930137 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 531 0.862234954291 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 532 0.862383721644 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 533 0.862444417944 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 534 0.862555810002 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 535 0.862728092010 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 536 0.862924656814 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 537 0.863135148449 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 538 0.863138753309 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 539 0.863413852875 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 540 0.863552661265 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 541 0.863639793556 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 542 0.864049191421 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 543 0.864183970631 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 544 0.864241559583 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 547 0.864425652630 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 548 0.864662138251 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 549 0.864823855690 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 550 0.864936531044 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 551 0.865087379334 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 552 0.865226068520 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 553 0.865361810382 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 554 0.865465562817 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 555 0.865625573248 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 556 0.865846569782 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 557 0.865899868104 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 558 0.866161974541 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 559 0.866258580364 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 560 0.866455723651 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 561 0.866579303573 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 562 0.866678859091 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 563 0.866779762886 Uploaded by anonymous internet user, 2026.
5 564 0.866956214816 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 565 0.867096375304 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 566 0.867207770084 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 567 0.867295888745 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 568 0.867436264553 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 569 0.867558511328 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 570 0.867679706052 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 571 0.867787396856 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 572 0.867953424250 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 573 0.868058923848 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 574 0.868112300703 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 575 0.868336821301 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 576 0.868383480008 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 577 0.868549536745 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 578 0.868613495633 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 579 0.868755234557 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 580 0.868808998200 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 581 0.868920983430 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 582 0.869025723732 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 583 0.869181573798 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 584 0.869308358030 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 585 0.869395016544 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 586 0.869577288335 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 587 0.869617716332 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 588 0.869813474072 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 589 0.869907599977 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 590 0.870013320573 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 591 0.870116485875 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 592 0.870219835228 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 593 0.870365418059 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 594 0.870424810492 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 595 0.870532997385 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 596 0.870695802435 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 597 0.870728910840 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 598 0.870825163591 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 599 0.870960375160 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 600 0.871062947258 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 601 0.871192535830 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 602 0.871318464852 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 603 0.871401636390 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 604 0.871532281625 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 605 0.871580763923 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 606 0.871690783073 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 607 0.871817394296 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 608 0.871909596713 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 609 0.872031781604 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 610 0.872140831428 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 611 0.872250281013 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 612 0.872321472657 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 613 0.872449453449 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 614 0.872525176391 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 615 0.872648740984 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 616 0.872728869281 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 617 0.872864990617 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 618 0.872935737589 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 619 0.873052135335 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 620 0.873198597259 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 621 0.873277174768 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 622 0.873366418033 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 623 0.873472343608 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 624 0.873580612680 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 625 0.873655536592 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 626 0.873707502795 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 627 0.873803079662 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 628 0.873965064776 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 629 0.874067705789 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 630 0.874165176458 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 631 0.874241097100 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 632 0.874339664844 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 633 0.874515666749 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 634 0.874570578183 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 635 0.874662904713 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 636 0.874724604965 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 637 0.874906800603 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 638 0.874970066288 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 639 0.875063126196 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 640 0.875152735643 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 641 0.875227562311 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 642 0.875361260474 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 643 0.875471203568 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 644 0.875552242003 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 645 0.875641663613 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 646 0.875734540475 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 647 0.875863524751 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 648 0.875956403634 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 649 0.876062872052 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 650 0.876142108193 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 651 0.876262494697 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 652 0.876342234743 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 653 0.876455410276 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 654 0.876505123194 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 655 0.876639479949 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 656 0.876679653518 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 657 0.876732204804 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 658 0.876934625414 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 659 0.877003187006 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 660 0.877056961930 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 661 0.877139503776 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 662 0.877219648562 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 663 0.877383543123 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 664 0.877441215109 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 665 0.877543704634 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 666 0.877656043970 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 667 0.877736492441 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 668 0.877854788034 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 669 0.877931904708 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 670 0.877961310546 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 671 0.878105507777 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 672 0.878106473545 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 673 0.878239675647 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 674 0.878341862036 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 675 0.878459929229 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 676 0.878550396308 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 677 0.878641029088 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 678 0.878747388242 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 679 0.878847953975 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 680 0.878913948606 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 681 0.878942566657 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 682 0.879094298148 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 683 0.879141705411 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 684 0.879256112313 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 685 0.879349888018 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 686 0.879455168523 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 687 0.879533216997 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 688 0.879603756205 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 689 0.879692797949 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 690 0.879760932845 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 691 0.879885678760 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 692 0.879998629650 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 693 0.880058582402 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 694 0.880108704289 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 695 0.880213636234 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 696 0.880332768217 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 697 0.880384639767 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 698 0.880410324681 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 699 0.880540761391 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 700 0.880672293297 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 701 0.880706756421 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 702 0.880772437966 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 703 0.880898082445 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 704 0.880960334097 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 705 0.881059691286 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 706 0.881172967860 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 707 0.881182594816 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 708 0.881298041533 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 709 0.881346559134 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 710 0.881458543984 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 711 0.881544977440 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 712 0.881657972498 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 713 0.881748520102 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 714 0.881794374156 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 715 0.881873334904 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 716 0.881983363781 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 717 0.882071939111 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 718 0.882139968837 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 719 0.882224968633 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 720 0.882266596886 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 721 0.882404847735 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 722 0.882457861841 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 723 0.882561432219 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 724 0.882632103713 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 725 0.882725242725 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 726 0.882788294800 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 727 0.882883992680 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 728 0.882938873892 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 729 0.883068327393 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 730 0.883111870454 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 731 0.883242265509 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 732 0.883261763530 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 733 0.883357902437 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 734 0.883432234104 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 735 0.883530374293 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 736 0.883586764124 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 737 0.883629005615 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 738 0.883716322005 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 739 0.883826318961 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 740 0.883869493784 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 741 0.883971523243 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 742 0.884083702770 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 743 0.884161919689 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 744 0.884208812247 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 745 0.884290133150 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 746 0.884376124134 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 747 0.884441994877 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 748 0.884541491879 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 749 0.884602297791 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 750 0.884671353816 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 751 0.884736212722 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 752 0.884864170513 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 753 0.884922003718 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 754 0.885004683554 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 755 0.885095974541 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 756 0.885134705092 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 757 0.885222853780 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 758 0.885326027552 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 759 0.885411821274 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 760 0.885489302751 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 761 0.885563468054 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 762 0.885593120865 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 763 0.885682386807 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 764 0.885785862977 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 765 0.885865861388 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 766 0.885897941963 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 767 0.886015608336 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 768 0.886064170265 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 769 0.886145242382 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 770 0.886228806560 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 771 0.886293141628 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 772 0.886369768127 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 773 0.886443709050 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 774 0.886507926861 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 775 0.886601193191 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 776 0.886689306183 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 777 0.886743499561 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 778 0.886822324082 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 779 0.886884629861 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 780 0.886973487256 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 781 0.887067739177 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 782 0.887085127000 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 783 0.887170865163 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 784 0.887213788641 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 785 0.887305545859 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 786 0.887357278715 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 787 0.887448997918 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 788 0.887514049646 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 789 0.887612054907 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 790 0.887692321112 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 791 0.887717034398 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 792 0.887797932005 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 793 0.887855389912 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 794 0.887887254926 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 795 0.888020208743 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 796 0.888096778635 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 797 0.888181830093 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 798 0.888226749919 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 799 0.888318273498 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 800 0.888367047936 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 801 0.888435849374 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 802 0.888468978315 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 803 0.888580801185 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 804 0.888659360745 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 805 0.888734299200 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 806 0.888800209584 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 807 0.888864321633 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 808 0.888905338931 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 809 0.889018756766 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 810 0.889043738514 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 811 0.889146635876 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 812 0.889250805116 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 813 0.889261672686 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 814 0.889325016017 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 815 0.889407379830 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 816 0.889470236806 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 817 0.889553078118 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 818 0.889618783143 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 819 0.889686485016 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 820 0.889735701941 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 821 0.889821307224 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 822 0.889860688652 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 823 0.889936960552 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 824 0.890008181372 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 825 0.890043890079 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 826 0.890157516714 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 827 0.890173347579 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 828 0.890236833482 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 829 0.890308039858 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 830 0.890397801907 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 831 0.890468378790 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 832 0.890525855437 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 833 0.890610368416 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 834 0.890648092955 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 835 0.890785741085 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 836 0.890791406406 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 837 0.890858956942 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 838 0.890913836226 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 839 0.890970107101 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 840 0.891050350215 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 841 0.891103375488 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 842 0.891181467827 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 843 0.891287528997 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 844 0.891315359906 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 845 0.891366882579 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 846 0.891416522489 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 847 0.891498599926 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 848 0.891576307617 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 849 0.891611082414 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 850 0.891673831647 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 851 0.891739350063 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 852 0.891810297767 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 853 0.891850160871 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 854 0.891956707177 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 855 0.891965720226 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 856 0.892053055855 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 857 0.892127562822 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 858 0.892166065271 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 859 0.892275727142 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 860 0.892292283359 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 861 0.892394014607 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 862 0.892459840076 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 863 0.892525541140 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 864 0.892559715160 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 865 0.892632427725 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 866 0.892702069525 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 867 0.892751013515 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 868 0.892809229362 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 869 0.892927787737 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 870 0.892943373078 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 871 0.892998933779 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 872 0.893045194309 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 873 0.893081811788 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 874 0.893191833046 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 875 0.893237705351 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 876 0.893266165998 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 877 0.893354663005 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 878 0.893440419031 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 879 0.893488848864 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 880 0.893552331464 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 881 0.893575492667 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 882 0.893675788240 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 883 0.893733990506 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 884 0.893786740471 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 885 0.893858702895 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 886 0.893906543970 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 887 0.893977256868 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 888 0.894053611623 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 889 0.894089122049 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 890 0.894168649630 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5 891 0.894206192531 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 892 0.894272661135 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 893 0.894332397388 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 894 0.894381185578 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 895 0.894439511963 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 896 0.894453112570 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 897 0.894605176109 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 898 0.894645575810 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 899 0.894727955948 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 900 0.894750689132 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 901 0.894798436537 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 902 0.894877029648 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 903 0.894922398858 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 904 0.894933018553 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 905 0.895056844323 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 906 0.895091614755 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 907 0.895177756885 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 908 0.895251827393 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 909 0.895283685929 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 910 0.895318680374 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 911 0.895386383067 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 912 0.895452016376 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 913 0.895540482760 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 914 0.895584948003 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 915 0.895665942688 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 916 0.895691383929 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 917 0.895740480766 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 918 0.895831153040 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 919 0.895857949737 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 920 0.895910062110 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 921 0.895978570522 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 922 0.896070532630 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 923 0.896090154027 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 924 0.896160415742 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 925 0.896217259694 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 926 0.896270974493 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 927 0.896285975480 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 928 0.896371344685 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 929 0.896434284151 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 930 0.896506262521 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 931 0.896529629616 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 932 0.896551683898 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 933 0.896626742167 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 934 0.896719653714 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 935 0.896763483292 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 936 0.896822491668 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 937 0.896870010527 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 938 0.896912246115 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 939 0.896968294866 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 940 0.897050423715 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 941 0.897115311646 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 942 0.897153317616 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 943 0.897218447907 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 944 0.897245854677 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 945 0.897332215849 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 946 0.897404796551 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 947 0.897419903128 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 948 0.897464730124 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 949 0.897542820640 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 950 0.897615339891 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 951 0.897661595719 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 952 0.897698572916 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 953 0.897740693517 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 954 0.897818894651 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 955 0.897830841153 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 956 0.897922194428 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 957 0.897940422059 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 958 0.898027031364 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 959 0.898054066517 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 960 0.898147031984 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 961 0.898172205817 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 962 0.898249545624 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 963 0.898280407909 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 964 0.898352042876 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 965 0.898418102598 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 966 0.898447868707 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 967 0.898494542041 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 968 0.898543794039 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 969 0.898601309092 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 970 0.898671723338 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 971 0.898678157520 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 972 0.898748952988 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 973 0.898781074626 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 974 0.898899770013 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 975 0.898912774169 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 976 0.898978510818 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 977 0.899025382787 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 978 0.899070452280 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 979 0.899127707073 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 980 0.899138620026 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 981 0.899188273829 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 982 0.899281995922 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 983 0.899324578625 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 984 0.899374160785 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 985 0.899437609794 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 986 0.899486396167 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 987 0.899518008089 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 988 0.899581022491 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 989 0.899629951347 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 990 0.899676165613 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 991 0.899739473462 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 992 0.899780402942 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 993 0.899856048564 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 994 0.899902503331 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 995 0.899956906140 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 996 0.899984046871 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 997 0.900033044264 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 998 0.900064691715 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 999 0.900098883567 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 1000 0.900174175250 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 1001 0.900244563003 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 1002 0.900277773975 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 1003 0.900353351881 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 1004 0.900397756303 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 1005 0.900429604194 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 1006 0.900484991293 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 1007 0.900518956466 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 1008 0.900533203441 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 1009 0.900634564655 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 1010 0.900685145043 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 1011 0.900761606647 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 1012 0.900778836214 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 1013 0.900831683587 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 1014 0.900884196291 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 1015 0.900937789989 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 1016 0.900971199638 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 1017 0.900991127152 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 1018 0.901089895682 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 1019 0.901110584229 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 1020 0.901193127219 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 1021 0.901207891090 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 1022 0.901289678756 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 1023 0.901330344619 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
5 1024 0.901352078641 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
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96⁢x3−36⁢x2−6⁢x+1
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Minimal polynomial listed in plain text data
6 15 0.144948974279 J. Wang, Finding and investigating exact spherical codes, Experiment. Math. 18 (2009), 249–256, https://projecteuclid.org/euclid.em/1259158434.
20⁢x2+4⁢x−1
6 16 0.171071421043 H. Cohn, Small spherical and projective codes, data set, updated 2024, DSpace@MIT, https://hdl.handle.net/1721.1/142661.
6400⁢x5+960⁢x4−1024⁢x3−32⁢x2+31⁢x−1
6 17 0.183274337024 P. G. Adams, A numerical approach to Tamme's problem in Euclidean n-space, Master of Science thesis, Oregon State University, 1997, https://hdl.handle.net/1957/33911.
400⁢x4+240⁢x3+16⁢x2−8⁢x−1
6 18 0.197812188602 J. Wang, Finding and investigating exact spherical codes, Experiment. Math. 18 (2009), 249–256, https://projecteuclid.org/euclid.em/1259158434.
784⁢x8−280⁢x7−1191⁢x6+120⁢x5+218⁢x4−62⁢x3−31⁢x2+2⁢x+1
6 19 0.200226025892 J. Wang, Finding and investigating exact spherical codes, Experiment. Math. 18 (2009), 249–256, https://projecteuclid.org/euclid.em/1259158434.
6 20 0.214285714286 J. Wang, Finding and investigating exact spherical codes, Experiment. Math. 18 (2009), 249–256, https://projecteuclid.org/euclid.em/1259158434.
14⁢x−3
6 21 0.242852848014 J. Wang, Finding and investigating exact spherical codes, Experiment. Math. 18 (2009), 249–256, https://projecteuclid.org/euclid.em/1259158434.
6 22 0.248865699460 H. Cohn, Small spherical and projective codes, data set, 2022, DSpace@MIT, https://hdl.handle.net/1721.1/142661.
6 23 0.25 J. Wang, Finding and investigating exact spherical codes, Experiment. Math. 18 (2009), 249–256, https://projecteuclid.org/euclid.em/1259158434.
4⁢x−1
6 24 0.25 J. Wang, Finding and investigating exact spherical codes, Experiment. Math. 18 (2009), 249–256, https://projecteuclid.org/euclid.em/1259158434.
4⁢x−1
6 25 0.25 J. Wang, Finding and investigating exact spherical codes, Experiment. Math. 18 (2009), 249–256, https://projecteuclid.org/euclid.em/1259158434.
4⁢x−1
6 26 0.25 J. Wang, Finding and investigating exact spherical codes, Experiment. Math. 18 (2009), 249–256, https://projecteuclid.org/euclid.em/1259158434.
4⁢x−1
6 27* 0.25 T. Gosset, On the regular and semi-regular figures in space of n dimensions, Messenger Math. 29 (1900), 43–48; V. I. Levenšteĭn, On bounds for packings in n-dimensional Euclidean space (Russian), Dokl. Akad. Nauk SSSR 245 (1979), 1299–1303, English translation in Soviet Math. Dokl. 20 (1979), 417–421.
4⁢x−1
6 28 0.3 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
10⁢x−3
6 29 0.327844830882 H. Cohn, Small spherical and projective codes, data set, 2022, DSpace@MIT, https://hdl.handle.net/1721.1/142661.
6 30 0.333157886299 H. Cohn, Small spherical and projective codes, data set, updated 2024, DSpace@MIT, https://hdl.handle.net/1721.1/142661.
6 31 0.333333333334 J. Wang, Finding and investigating exact spherical codes, Experiment. Math. 18 (2009), 249–256, https://projecteuclid.org/euclid.em/1259158434.
3⁢x−1
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3⁢x−1
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20⁢x2−4⁢x−1
6 34 0.346451336111 J. Wang, Finding and investigating exact spherical codes, Experiment. Math. 18 (2009), 249–256, https://projecteuclid.org/euclid.em/1259158434.
64⁢x5+64⁢x4−76⁢x3+7⁢x2+6⁢x−1
6 35 0.358257569496 J. Wang, Finding and investigating exact spherical codes, Experiment. Math. 18 (2009), 249–256, https://projecteuclid.org/euclid.em/1259158434.
5⁢x2+x−1
6 36 0.358257569496 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
5⁢x2+x−1
6 37 0.366623377687 J. Wang, Finding and investigating exact spherical codes, Experiment. Math. 18 (2009), 249–256, https://projecteuclid.org/euclid.em/1259158434.
64⁢x4+96⁢x3−80⁢x2+16⁢x−1
6 38 0.367688450451 J. Wang, Finding and investigating exact spherical codes, Experiment. Math. 18 (2009), 249–256, https://projecteuclid.org/euclid.em/1259158434.
7424⁢x8+1280⁢x7−3904⁢x6−768⁢x5+448⁢x4+80⁢x3−1
6 39 0.384936289161 J. Wang, Finding and investigating exact spherical codes, Experiment. Math. 18 (2009), 249–256, https://projecteuclid.org/euclid.em/1259158434.
6 40 0.386096677606 J. Wang, Finding and investigating exact spherical codes, Experiment. Math. 18 (2009), 249–256, https://projecteuclid.org/euclid.em/1259158434.
31⁢x4−12⁢x3−14⁢x2+8⁢x−1
6 41 0.389434811673 Henry Cohn, 2023.
6 42 0.390388203203 J. H. Conway, R. H. Hardin, and N. J. A. Sloane, Packing lines, planes, etc.: packings in Grassmannian spaces, Experiment. Math. 5 (1996), 139–159, https://projecteuclid.org/euclid.em/1047565645; T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
4⁢x2+x−1
6 43 0.399773924374 J. Wang, Finding and investigating exact spherical codes, Experiment. Math. 18 (2009), 249–256, https://projecteuclid.org/euclid.em/1259158434.
1024⁢x9−4096⁢x8−1536⁢x7+1024⁢x6+704⁢x5+64⁢x4−96⁢x3−16⁢x2+4⁢x−1
6 44 0.405666616164 Henry Cohn, 2023.
6 45 0.426943864061 Henry Cohn, 2025.
6 46 0.434834721516 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 47 0.441020734927 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 48 0.443609864234 Henry Cohn, 2025.
6 49 0.446060501890 Henry Cohn, 2023.
6 50 0.446739131277 Henry Cohn, 2023.
58⁢x3−50⁢x2+13⁢x−1
6 51 0.456479386398 Henry Cohn, 2025.
6 52 0.458253528717 Henry Cohn, 2023.
6 53 0.459145031877 Henry Cohn, 2025.
6 54 0.462714285892 Henry Cohn, 2023.
4104⁢x4−216⁢x3−3654⁢x2+1955⁢x−289
6 55 0.472467412878 Henry Cohn, 2024.
6 56 0.475645784548 Henry Cohn, 2023.
33024⁢x6+14848⁢x5−45568⁢x4+5832⁢x3+12257⁢x2−4922⁢x+529
6 57 0.479790821500 Henry Cohn, 2025.
6 58 0.482548584905 Henry Cohn, 2024.
20⁢x2+9⁢x−9
6 59 0.485942488798 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 60 0.486876290376 Henry Cohn, 2025.
6 61 0.491730182082 Henry Cohn, 2025.
6 62 0.495160643621 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 63 0.498122491823 Henry Cohn, 2023.
6 64 0.498345393899 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 65 0.499869061666 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 66 0.499921169601 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 67 0.499962051009 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 68 0.499999950782 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 69 0.499999977407 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 72 0.5 A. Korkine and G. Zolotareff, Sur les formes quadratiques, Math. Ann. 6 (1873), 366–389, doi:10.1007/BF01442795; J. Leech, Six and seven dimensional non-lattice sphere packings, Canad. Math. Bull. 12 (1969), 151–155, doi:10.4153/CMB-1969-014-1; J. H. Conway and N. J. A. Sloane, What are all the best sphere packings in low dimensions?, Discrete Comput. Geom. 13 (1995), 383–403, doi:10.1007/BF02574051; H. Cohn, Y. Jiao, A. Kumar, and S. Torquato, Rigidity of spherical codes, Geom. Topol. 15 (2011), 2235–2273, doi:10.2140/gt.2011.15.2235, arXiv:1102.5060.
2⁢x−1
6 73 0.513985952311 Henry Cohn, 2025.
6 74 0.521539568537 Henry Cohn, 2025.
6 75 0.523076433656 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 76 0.524813970537 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 77 0.527287929827 Henry Cohn, 2025.
6 78 0.528662896579 Henry Cohn, 2025.
6 79 0.533648501058 Henry Cohn, 2025.
6 80 0.536468893038 Henry Cohn, 2025.
6 81 0.538396586915 Henry Cohn, 2026.
6 82 0.539382071135 Henry Cohn, 2026.
6 83 0.543248902467 Henry Cohn, 2026.
6 84 0.545752285862 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 85 0.546038397748 Henry Cohn, 2026.
6 86 0.548916479202 Matevž Kovačič, 2026, https://github.com/matevz-kovacic/active-model.
6 87 0.550379697504 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 88 0.552456735670 Henry Cohn, 2025.
6 89 0.555561660912 Henry Cohn, 2025, needs more optimization.
6 90 0.557491741124 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 91 0.557588802583 Henry Cohn, 2026.
6 92 0.560971622256 Henry Cohn, 2025.
29448⁢x9+23100⁢x8−14202⁢x7−11415⁢x6+1604⁢x5+1587⁢x4−50⁢x3−73⁢x2+1
6 93 0.563013323310 Henry Cohn, 2023.
6 94 0.564644480982 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 95 0.565789396150 Henry Cohn, 2023.
6 96 0.565950871118 Henry Cohn, 2023.
6 97 0.568133461901 Henry Cohn, 2025.
6 98 0.571037776392 Matevž Kovačič, 2026, https://github.com/matevz-kovacic/active-model.
6 99 0.573881665753 Henry Cohn, 2023.
6 100 0.574916276575 Henry Cohn, 2024.
6 101 0.578318097782 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 102 0.580736682189 Henry Cohn, 2023, needs more optimization.
6 103 0.580814970721 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 104 0.582141252652 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 105 0.582634862975 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 106 0.582644233425 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 107 0.583371498649 Henry Cohn, 2026.
6 108 0.584228700283 Henry Cohn, 2026.
6 109 0.585348750770 Henry Cohn, 2026.
6 110 0.585555924412 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 111 0.585638229827 Henry Cohn, 2026.
6 112 0.585693130025 Henry Cohn, 2026.
6 113 0.586622932873 Henry Cohn, 2025.
6 114 0.588109690133 Henry Cohn, 2023.
6 115 0.596004657476 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 116 0.596363660542 Henry Cohn, 2026, needs more optimization.
6 117 0.596421583910 Henry Cohn, 2026, needs more optimization.
6 118 0.596439256863 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 119 0.598424113262 Henry Cohn, 2026, needs more optimization.
6 120 0.599016149465 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 121 0.603688760597 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 122 0.605232558247 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 123 0.606415945860 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 124 0.607936838904 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 125 0.607973280226 Henry Cohn, 2026, needs more optimization.
6 126 0.610306866273 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 127 0.616047193210 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 128 0.618872617056 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 129 0.620224367829 Henry Cohn, 2025.
6 130 0.622749533062 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 131 0.624452202888 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 132 0.624694337870 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 133 0.626090430089 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 134 0.627762731707 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 135 0.629447717737 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 136 0.630749416149 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 137 0.631575173435 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 138 0.633669849489 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 139 0.635852941496 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 140 0.636752821181 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 141 0.636830011504 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 142 0.637378151040 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 143 0.638506513152 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 144 0.638598434948 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 145 0.639674399842 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 146 0.640469639839 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 147 0.641748038387 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 148 0.642736295513 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 149 0.644705619024 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 150 0.645096694542 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 151 0.645121145146 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 152 0.645203925972 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 153 0.645210956961 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 154 0.646006976308 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 155 0.646192597480 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 156 0.647251806639 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 157 0.648607476968 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 158 0.649878596886 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 159 0.650461345030 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 160 0.650866730014 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 161 0.651395808555 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 162 0.651869540551 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 163 0.652307561259 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 164 0.653028628063 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 165 0.653531275605 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 166 0.653972556245 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 167 0.655327277538 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 168 0.656419753699 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 169 0.658674020111 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 170 0.660039796784 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 171 0.661216162738 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 172 0.662523168284 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 173 0.663595616480 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 174 0.663910790633 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 175 0.664424466338 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 176 0.664663921420 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 177 0.667248188847 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 178 0.668347200084 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 179 0.669353780760 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 180 0.670193100921 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 181 0.670435765875 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 182 0.671572335619 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 183 0.672123467486 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 184 0.672423935688 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 185 0.673138325950 WolfFrogs, 2026.
6 186 0.673827638855 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 187 0.674109703209 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 188 0.674695081992 Arhan Canli, 2026.
6 189 0.674814958648 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 190 0.674913550534 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 191 0.674920397469 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 193 0.674971493431 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 194 0.675977230691 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 195 0.675982483231 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 196 0.676000059853 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 197 0.676139784165 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 198 0.676255980506 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 199 0.677240718061 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 200 0.679468174757 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 201 0.681454928946 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 202 0.681973854192 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 203 0.682708686721 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 204 0.684008396939 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 205 0.684949098050 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 206 0.685714605963 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 207 0.686362737907 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 208 0.687185627750 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 209 0.687877566826 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 210 0.688519839782 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 211 0.689263850168 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 212 0.689755479547 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 213 0.689977050006 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 214 0.690421520629 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 215 0.691011081446 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 216 0.691473023228 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 217 0.692100456953 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 218 0.693060343689 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 219 0.693413355888 Henry Cohn, 2026, needs more optimization.
6 220 0.694038977454 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 221 0.694336878946 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 222 0.694750308013 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 223 0.695344854705 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 224 0.695842585723 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 225 0.695980142948 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 226 0.696030700811 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 227 0.696958865229 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 228 0.697147091343 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 229 0.697805419300 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 230 0.698237904688 WolfFrogs, 2026.
6 231 0.698361680539 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 232 0.698603053103 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 233 0.699497731090 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 234 0.699913239980 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 243 0.7 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
10⁢x−7
6 245 0.702672200221 Arhan Canli, 2026.
6 246 0.703133686687 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 247 0.703287570521 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 248 0.703362168343 Arhan Canli, 2026.
6 249 0.703550377291 Pavlos Moros, 2026.
6 250 0.703838463146 Pavlos Moros, 2026.
6 251 0.703943163251 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 252 0.704027910502 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 253 0.704155539127 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 254 0.704586804672 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 255 0.704715705496 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 256 0.704931969352 Pavlos Moros, 2026.
6 257 0.705350637779 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 258 0.705825097762 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 259 0.706348039265 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 260 0.707048162858 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 261 0.707830163349 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 262 0.708324049489 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 263 0.708911219352 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 264 0.709502598096 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 265 0.710452246796 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 266 0.711283932571 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 267 0.711981941020 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 268 0.712790923835 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 269 0.713444753031 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 270 0.714094595168 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 271 0.714540135464 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 272 0.714831282150 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 273 0.716191352399 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 274 0.716982971491 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 275 0.717946707650 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 276 0.718571685080 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 277 0.719093214548 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 278 0.719911086996 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 279 0.720497788804 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 280 0.720918680836 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 281 0.721058774151 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 282 0.721629762453 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 283 0.722202444424 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 284 0.722651497789 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 285 0.723268654005 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 286 0.723334202630 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 287 0.723525667473 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 288 0.723643513343 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 289 0.724833672242 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 290 0.725270556420 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 291 0.725842284682 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 292 0.726180888995 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 293 0.726691621923 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 294 0.727156937490 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 295 0.727654977774 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 296 0.728193325432 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 297 0.728471064050 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 298 0.728993305617 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 299 0.729635968148 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 300 0.730070633365 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 301 0.730626959614 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 302 0.730958339577 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 303 0.731790531904 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 304 0.732178614122 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 305 0.732539204263 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 306 0.733307565385 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 307 0.733624399291 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 308 0.733930837577 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 309 0.734174669919 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 310 0.734282541489 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 311 0.734685392634 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 322 0.735095224434 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 324 0.735099237575 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 325 0.736327932386 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 326 0.737254465711 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 327 0.738196786551 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 328 0.739000549351 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 329 0.739274286804 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 330 0.739851359235 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 331 0.740325177470 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 332 0.740810090614 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 333 0.741161095937 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 334 0.741497141606 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 335 0.741943620991 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 337 0.742298827463 Arhan Canli, 2026.
6 338 0.742981141173 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 339 0.743004914036 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 340 0.743486718857 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 341 0.743752317338 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 342 0.743817924989 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 343 0.743995719715 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 344 0.744395245204 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 345 0.744756203998 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 346 0.745191046164 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 347 0.745374421194 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 348 0.745768303131 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 349 0.746213670532 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 350 0.746884235573 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 351 0.747313641137 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 352 0.747412546226 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 353 0.747893912943 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 354 0.748328774265 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 355 0.748810908353 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 356 0.748946628034 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 357 0.749560569617 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 358 0.749887184013 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 359 0.750094952746 Arhan Canli, 2026.
6 360 0.750661654139 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 361 0.750915700887 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 362 0.751272998926 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 363 0.751653558570 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 364 0.751931704440 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 365 0.752239954321 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 366 0.752461797163 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 367 0.753080047901 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 368 0.753294823835 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 369 0.753554276304 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 370 0.753761371071 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 371 0.754134032258 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 372 0.754628575793 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 373 0.754675211338 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 374 0.755068614009 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 375 0.755261712040 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 376 0.755708382548 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 377 0.756099249601 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 378 0.756263564336 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 379 0.756717448737 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 380 0.757095499175 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 381 0.757188077184 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 382 0.757353025994 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 383 0.757429123509 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 384 0.758037716662 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 385 0.758168610548 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 386 0.758634656889 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 387 0.758945706886 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 388 0.759202180001 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 389 0.759378595246 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 390 0.759643489826 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 391 0.759792311921 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 392 0.760122594926 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 393 0.760403100944 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 394 0.760705349202 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 395 0.760905851654 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 396 0.761214280085 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 397 0.761388388419 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 398 0.762274497553 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 399 0.762638375811 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 400 0.762866231327 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 401 0.763152944920 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 402 0.763554362453 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 403 0.763622301719 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 404 0.763966961114 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 405 0.764274247981 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 406 0.764457441833 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 407 0.764619393785 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 408 0.764934518470 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 409 0.765266483321 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 410 0.765440068363 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 411 0.765665824682 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 412 0.765920392496 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 413 0.766009449797 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 414 0.766333650246 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 415 0.766582573714 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 416 0.766895217494 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 417 0.767075634933 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 418 0.767392122022 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 419 0.767623829363 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 420 0.767793596500 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 421 0.768007380881 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 422 0.768253994114 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 423 0.768503869702 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 424 0.768718639128 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 425 0.768929934229 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 426 0.769117200561 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 427 0.769357197436 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 428 0.769612874281 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 429 0.769802858185 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 430 0.770029651946 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 431 0.770257901289 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 432 0.770440405140 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 433 0.770667098803 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 434 0.770926953135 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 435 0.771055203553 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 436 0.771280142538 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 437 0.771484646979 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 438 0.771745266703 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 439 0.771966581378 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 440 0.772207948217 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 441 0.772229319489 Henry Cohn, 2026, needs more optimization.
6 442 0.772564447631 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 443 0.772788248460 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 444 0.772950652638 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 445 0.773164378199 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 446 0.773409804779 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 447 0.773564231323 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 448 0.773768254981 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 449 0.774015394670 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 450 0.774247533089 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 451 0.774400576064 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 452 0.774587939699 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 453 0.774896369522 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 454 0.774963328711 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 455 0.775162750965 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 456 0.775345611014 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 457 0.775574849313 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 458 0.775857871861 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 459 0.775994191454 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 460 0.776187137044 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 461 0.776445476456 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 462 0.776512102015 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 463 0.776812795705 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 464 0.776821860993 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 465 0.777070928913 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 466 0.777326158510 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 467 0.777554247122 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 468 0.777722689292 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 469 0.777939897157 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 470 0.778120957987 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 471 0.778282665604 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 472 0.778380188025 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 473 0.778639253603 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 474 0.778810416317 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 475 0.778940659336 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 476 0.779209417826 Henry Cohn, 2026, needs more optimization.
6 477 0.779421883561 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 478 0.779628557494 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 479 0.779778796698 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 480 0.779946422901 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 483 0.780029313856 Arhan Canli, 2026.
6 484 0.780571141194 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 485 0.780598679428 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 486 0.780753240155 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 487 0.780859996632 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 488 0.780896949511 Arhan Canli, 2026.
6 489 0.781144304959 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 490 0.781235567526 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 491 0.781326799696 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 492 0.781450691985 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 514 0.781515527778 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 516 0.781687789244 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 517 0.782205762622 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 518 0.782449127724 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 524 0.785547756101 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 527 0.785674042371 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 529 0.785994357166 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 530 0.786665176133 Pavlos Moros, 2026.
6 531 0.786777318794 Pavlos Moros, 2026.
6 532 0.786781579685 Pavlos Moros, 2026.
6 533 0.786800941634 Pavlos Moros, 2026.
6 534 0.786809212167 Pavlos Moros, 2026.
6 535 0.786817163576 Pavlos Moros, 2026.
6 536 0.786848596781 Pavlos Moros, 2026.
6 537 0.786853314633 Pavlos Moros, 2026.
6 538 0.786860198477 Pavlos Moros, 2026.
6 539 0.786867383186 Pavlos Moros, 2026.
6 540 0.786875585133 Pavlos Moros, 2026.
6 541 0.786887548888 Pavlos Moros, 2026.
6 542 0.786894439755 Pavlos Moros, 2026.
6 543 0.786900814145 Pavlos Moros, 2026.
6 544 0.786906448055 Pavlos Moros, 2026.
6 545 0.786912755633 Pavlos Moros, 2026.
6 549 0.786951211477 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 550 0.786990408417 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 555 0.787007772544 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 556 0.787028854233 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 557 0.787044208628 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 558 0.787072619879 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 559 0.787708795864 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 560 0.788287457423 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 561 0.788627142833 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 562 0.788803185722 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 563 0.788908519989 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 564 0.788980427154 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 565 0.789032913638 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 566 0.789639490235 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 567 0.790191628218 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 568 0.790381088738 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 569 0.790496221910 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 570 0.790711436491 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 571 0.790742780356 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 572 0.791764770143 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 573 0.791923226564 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 574 0.792077287672 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 575 0.792407821351 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 576 0.792901252907 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 577 0.792949649011 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 578 0.793058388507 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 579 0.793168826502 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 580 0.793200731822 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 582 0.793378001931 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 583 0.793430637908 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 584 0.793757961102 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 585 0.793826284134 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 586 0.793925522236 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 587 0.794113947818 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 588 0.794279335552 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 589 0.794408019656 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 590 0.794469431520 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 591 0.794611101774 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 592 0.794704302763 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 593 0.794862055973 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 594 0.795100976460 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 595 0.795149611344 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 596 0.795237253386 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 597 0.795244157429 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 598 0.795265069785 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 599 0.795279530959 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 600 0.795384719249 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 601 0.795848156913 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 602 0.795898806975 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 603 0.795970632484 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 604 0.796174337381 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 605 0.796337832833 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 606 0.796449949429 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 607 0.796600515435 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 608 0.796942317012 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 609 0.796999788171 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 610 0.797068314880 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 611 0.797286251178 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 612 0.797488055700 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 613 0.797572416174 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 614 0.797748238330 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 615 0.797877500944 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 616 0.798059569781 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 617 0.798296779110 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 618 0.798447680787 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 619 0.798527819236 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 620 0.798653883513 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 621 0.798771378224 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 622 0.798810307992 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 623 0.799013770391 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 624 0.799166944761 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 625 0.799342533166 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 626 0.799541730863 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 627 0.799741192582 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 628 0.799918619298 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 629 0.800126131330 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 630 0.800271549635 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 631 0.800503458250 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 632 0.800684863346 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 633 0.800825798147 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 634 0.800935198945 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 635 0.801155650665 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 636 0.801271737034 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 637 0.801320933976 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 638 0.801422621667 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 639 0.801556122507 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 640 0.801684874367 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 641 0.801812014545 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 642 0.801907880665 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 643 0.801933328311 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 644 0.802141430111 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 645 0.802286471403 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 646 0.802419206060 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 647 0.802462764587 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 648 0.802647867285 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 649 0.802691602545 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 650 0.802937826316 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 651 0.803075325564 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 652 0.803125764501 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 653 0.803243624075 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 654 0.803424548185 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 655 0.803554628605 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 656 0.803731069818 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 657 0.803924867735 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 658 0.804140793933 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 659 0.804305456827 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 660 0.804510177498 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 661 0.804669632908 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 662 0.804989061135 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 663 0.805201360216 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 664 0.805423454474 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 665 0.805596494041 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 666 0.805673355305 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 667 0.805998220397 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 668 0.806169811851 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 669 0.806176853508 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 670 0.806255823306 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 671 0.806414679248 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 672 0.806584872182 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 673 0.806717773055 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 674 0.806986546221 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 675 0.806996881635 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 676 0.807182170805 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 677 0.807222968684 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 678 0.807554119396 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 679 0.807574552441 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 680 0.807623665148 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 681 0.807884640032 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 682 0.808221835885 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 683 0.808332334254 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 684 0.808506167153 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 685 0.808621337180 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 686 0.808816075617 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 687 0.808878964614 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 688 0.808938588478 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 689 0.809238639715 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 690 0.809345517549 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 691 0.809581084450 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 692 0.809647402931 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 693 0.809771587562 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 694 0.809946896020 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 695 0.810080041843 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 696 0.810144829559 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 697 0.810290578538 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 698 0.810460665428 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 699 0.810605566367 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 700 0.810692101574 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 701 0.810855676002 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 702 0.810954396287 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 703 0.811031139829 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 704 0.811195254369 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 705 0.811281791462 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 706 0.811438601177 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 707 0.811616983456 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 708 0.811723833998 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 709 0.811814242956 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 710 0.811921667767 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 711 0.812037245443 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 712 0.812140249791 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 713 0.812292091980 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 714 0.812406083565 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 715 0.812520138882 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 716 0.812604033058 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 717 0.812665555368 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 718 0.812915169639 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 719 0.813037847193 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 720 0.813107113323 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 721 0.813200160112 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 722 0.813357123592 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 723 0.813460767271 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 724 0.813554996938 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 725 0.813636298843 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 726 0.813714944420 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 727 0.813893988664 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 728 0.814026933019 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 729 0.814151945656 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 730 0.814256062877 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 731 0.814346804431 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 732 0.814425012862 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 733 0.814566094123 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 734 0.814642072461 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 735 0.814767088012 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 736 0.814886148743 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 737 0.814974279756 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 738 0.814994882469 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 739 0.815245687094 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 740 0.815267427347 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 741 0.815405808854 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 742 0.815528175063 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 743 0.815641997910 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 744 0.815716014680 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 745 0.815861847281 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 746 0.815871921778 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 747 0.815981644465 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 748 0.816107200150 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 749 0.816261217481 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 750 0.816333187976 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 751 0.816452250979 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 752 0.816500866514 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 753 0.816643178118 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 754 0.816691919070 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 755 0.816822694616 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 756 0.816933849682 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 757 0.816943920479 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 758 0.817112809663 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 759 0.817260987330 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 760 0.817284682203 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 761 0.817413891809 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 762 0.817564590678 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 763 0.817574006116 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 764 0.817634509158 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 765 0.817768059736 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 766 0.817932086965 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 767 0.817961350000 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 768 0.818111539852 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 769 0.818176185237 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 770 0.818285157404 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 771 0.818396279044 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 772 0.818509964885 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 773 0.818573037800 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 774 0.818633055083 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 775 0.818761444861 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 776 0.818896252256 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 777 0.818977661018 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 778 0.819033318274 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 779 0.819142271142 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 780 0.819270918558 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 781 0.819321852578 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 782 0.819431586624 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 783 0.819557496732 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 784 0.819600898314 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 785 0.819661089635 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 786 0.819770893935 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 787 0.819858132646 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 788 0.819996683935 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 789 0.820051861919 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 790 0.820151224756 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 791 0.820228060507 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 792 0.820381270645 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 793 0.820425511148 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 794 0.820472036263 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 795 0.820619729071 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 796 0.820673103374 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 797 0.820796364523 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 798 0.820842592969 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 799 0.820989534246 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 800 0.821071062292 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 801 0.821182301183 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 802 0.821257992670 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 803 0.821381077585 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 804 0.821429491689 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 805 0.821522417668 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 806 0.821642129090 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 807 0.821652424879 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 808 0.821771495894 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 809 0.821924383762 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 810 0.821965134515 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 811 0.822076629684 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 812 0.822144978550 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 813 0.822211273413 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 814 0.822309720257 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 815 0.822398194783 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 816 0.822434216075 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 817 0.822544183573 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 818 0.822693927779 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 819 0.822756057753 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 820 0.822832632680 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 821 0.822904692390 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 822 0.823022629546 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 823 0.823082684445 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 824 0.823209093735 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 825 0.823245505148 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 826 0.823379494096 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 827 0.823451967845 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 828 0.823558334237 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 829 0.823646013974 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 830 0.823705072483 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 831 0.823839426208 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 832 0.823872846643 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 833 0.823946876121 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 834 0.824058367383 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 835 0.824127752701 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 836 0.824274120207 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 837 0.824295727068 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 838 0.824405889222 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 839 0.824487551579 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 840 0.824518453310 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 841 0.824644721238 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 842 0.824717901241 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 843 0.824833287748 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 844 0.824860500092 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 845 0.824965037325 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 846 0.825084210816 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 847 0.825091531758 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 848 0.825230465562 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 849 0.825333714496 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 850 0.825364057528 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 851 0.825474396749 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 852 0.825518791830 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 853 0.825626847835 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 854 0.825729134902 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 855 0.825833428340 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 856 0.825875293523 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 857 0.825941730353 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 858 0.826013581305 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 859 0.826114266375 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 860 0.826224994865 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 861 0.826312160230 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 862 0.826388189157 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 863 0.826484828487 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 864 0.826537238606 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 865 0.826647225251 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 866 0.826660742540 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 867 0.826786811923 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 868 0.826854346401 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 869 0.826951945251 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 870 0.826963222376 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 871 0.827120440576 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 872 0.827134400996 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 873 0.827240988854 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 874 0.827356906786 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 875 0.827394065666 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 876 0.827501439343 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 877 0.827530172242 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 878 0.827665288502 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 879 0.827808602149 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 880 0.827850915944 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 881 0.827923078847 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 882 0.827966221837 Pavlos Moros, 2026.
6 883 0.828008303847 Pavlos Moros, 2026.
6 884 0.828078832780 Henry Cohn, 2026, needs more optimization.
6 885 0.828202848068 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 886 0.828255021731 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 887 0.828389104823 Pavlos Moros, 2026.
6 888 0.828436753574 Pavlos Moros, 2026.
6 889 0.828526651052 Pavlos Moros, 2026.
6 890 0.828578966104 Pavlos Moros, 2026.
6 891 0.828602895833 Pavlos Moros, 2026.
6 892 0.828665651392 Pavlos Moros, 2026.
6 893 0.828765347931 Pavlos Moros, 2026.
6 894 0.828846080283 Pavlos Moros, 2026.
6 895 0.828847070186 Henry Cohn, 2026, needs more optimization.
6 896 0.828931049740 Henry Cohn, 2026, needs more optimization.
6 897 0.828963692810 Henry Cohn, 2026, needs more optimization.
6 898 0.829074503192 Henry Cohn, 2026, needs more optimization.
6 899 0.829078163609 Henry Cohn, 2026, needs more optimization.
6 900 0.829101655577 Henry Cohn, 2026, needs more optimization.
6 901 0.829216267723 Henry Cohn, 2026, needs more optimization.
6 902 0.829319317193 Henry Cohn, 2026, needs more optimization.
6 903 0.829428733430 Henry Cohn, 2026, needs more optimization.
6 904 0.829513252583 Henry Cohn, 2026, needs more optimization.
6 905 0.829600733594 Henry Cohn, 2026, needs more optimization.
6 906 0.829647434475 Henry Cohn, 2026, needs more optimization.
6 907 0.829693870128 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 908 0.829773742432 Pavlos Moros, 2026.
6 909 0.829865250404 Henry Cohn, 2026, needs more optimization.
6 910 0.829937501478 Henry Cohn, 2026, needs more optimization.
6 911 0.829945659210 Henry Cohn, 2026, needs more optimization.
6 912 0.830005700451 Henry Cohn, 2026, needs more optimization.
6 913 0.830065140138 Henry Cohn, 2026, needs more optimization.
6 914 0.830150477285 Henry Cohn, 2026, needs more optimization.
6 919 0.830427397852 Henry Cohn, 2026, needs more optimization.
6 920 0.830598812746 Henry Cohn, 2026, needs more optimization.
6 921 0.830621097766 Henry Cohn, 2026, needs more optimization.
6 922 0.830623923326 Henry Cohn, 2026, needs more optimization.
6 923 0.830652786818 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 924 0.830745858067 Pavlos Moros, 2026.
6 925 0.830746025475 Henry Cohn, 2026, needs more optimization.
6 926 0.830841450898 Henry Cohn, 2026, needs more optimization.
6 928 0.831019710861 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6 929 0.831180309014 Henry Cohn, 2026, needs more optimization.
6 933 0.831204698014 Henry Cohn, 2026, needs more optimization.
6 934 0.831288897508 Henry Cohn, 2026, needs more optimization.
6 935 0.831320034142 Henry Cohn, 2026, needs more optimization.
6 936 0.831340979339 Henry Cohn, 2026, needs more optimization.
6 937 0.831401479423 Henry Cohn, 2026, needs more optimization.
6 938 0.831433167412 Henry Cohn, 2026, needs more optimization.
6 941 0.831656660065 Henry Cohn, 2026, needs more optimization.
6 942 0.831703774274 Henry Cohn, 2026, needs more optimization.
6 943 0.831770192867 Henry Cohn, 2026, needs more optimization.
6 945 0.831883697593 Henry Cohn, 2026, needs more optimization.
6 946 0.831904501493 Henry Cohn, 2026, needs more optimization.
6 947 0.831951267458 Henry Cohn, 2026, needs more optimization.
6 948 0.832008712646 Henry Cohn, 2026, needs more optimization.
6 949 0.832043999971 Henry Cohn, 2026, needs more optimization.
6 950 0.832053422768 Henry Cohn, 2026, needs more optimization.
6 951 0.832157131674 Henry Cohn, 2026, needs more optimization.
6 952 0.832190871056 Henry Cohn, 2026, needs more optimization.
6 953 0.832203764795 Henry Cohn, 2026, needs more optimization.
6 954 0.832221497891 Henry Cohn, 2026, needs more optimization.
6 955 0.832267982576 Henry Cohn, 2026, needs more optimization.
6 956 0.832306819885 Henry Cohn, 2026, needs more optimization.
6 957 0.832309332342 Henry Cohn, 2026, needs more optimization.
6 958 0.832320590423 Henry Cohn, 2026, needs more optimization.
6 959 0.832418385913 Henry Cohn, 2026, needs more optimization.
6 960 0.832464085538 Henry Cohn, 2026, needs more optimization.
6 961 0.832480655196 Henry Cohn, 2026, needs more optimization.
6 962 0.832511763471 Henry Cohn, 2026, needs more optimization.
6 963 0.832562240812 Henry Cohn, 2026, needs more optimization.
6 964 0.832622229306 Henry Cohn, 2026, needs more optimization.
6 965 0.832694791327 Henry Cohn, 2026, needs more optimization.
6 966 0.832723102222 Henry Cohn, 2026, needs more optimization.
6 967 0.832753862382 Henry Cohn, 2026, needs more optimization.
6 968 0.832816963110 Henry Cohn, 2026, needs more optimization.
6 970 0.832832297934 Henry Cohn, 2026, needs more optimization.
6 971 0.832877085951 Henry Cohn, 2026, needs more optimization.
6 973 0.832884710312 Henry Cohn, 2026, needs more optimization.
6 974 0.832900829202 Henry Cohn, 2026, needs more optimization.
6 975 0.832990277717 Henry Cohn, 2026, needs more optimization.
6 976 0.833001122647 Henry Cohn, 2026, needs more optimization.
6 990 0.833333333334 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
6⁢x−5
6 1009 0.833333333334 Henry Cohn, 2026.
6⁢x−5
6 1010 0.837129847308 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 1011 0.837186677658 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 1012 0.837254463860 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 1013 0.837291352850 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 1014 0.837414963630 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 1015 0.837470420730 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 1016 0.837529178486 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 1017 0.837594951247 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 1018 0.837648862292 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 1019 0.837700303923 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 1020 0.837764989506 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 1021 0.837788722432 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 1022 0.837818275188 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 1023 0.837953401152 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
6 1024 0.838042424657 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 15 0.098701776273 P. G. Adams, A numerical approach to Tamme's problem in Euclidean n-space, Master of Science thesis, Oregon State University, 1997, https://hdl.handle.net/1957/33911.
175⁢x3−49⁢x2−7⁢x+1
7 16 0.113320879601 J. Wang, Finding and investigating exact spherical codes, Experiment. Math. 18 (2009), 249–256, https://projecteuclid.org/euclid.em/1259158434.
Minimal polynomial listed in plain text data
7 17 0.124841583816 H. Cohn, Small spherical and projective codes, data set, 2022, DSpace@MIT, https://hdl.handle.net/1721.1/142661.
Minimal polynomial listed in plain text data
7 18 0.126131983623 P. G. Adams, A numerical approach to Tamme's problem in Euclidean n-space, Master of Science thesis, Oregon State University, 1997, https://hdl.handle.net/1957/33911.
47⁢x2+2⁢x−1
7 19 0.156597385418 J. Wang, Finding and investigating exact spherical codes, Experiment. Math. 18 (2009), 249–256, https://projecteuclid.org/euclid.em/1259158434.
1280⁢x6−352⁢x4−48⁢x3+37⁢x2+3⁢x−1
7 20 0.169520847199 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
23⁢x2+2⁢x−1
7 21 0.181523960801 J. Wang, Finding and investigating exact spherical codes, Experiment. Math. 18 (2009), 249–256, https://projecteuclid.org/euclid.em/1259158434.
7 22 0.182743997632 J. Wang, Finding and investigating exact spherical codes, Experiment. Math. 18 (2009), 249–256, https://projecteuclid.org/euclid.em/1259158434.
19⁢x2+2⁢x−1
7 23 0.182743997632 J. Wang, Finding and investigating exact spherical codes, Experiment. Math. 18 (2009), 249–256, https://projecteuclid.org/euclid.em/1259158434.
19⁢x2+2⁢x−1
7 24 0.182743997632 J. Wang, Finding and investigating exact spherical codes, Experiment. Math. 18 (2009), 249–256, https://projecteuclid.org/euclid.em/1259158434.
19⁢x2+2⁢x−1
7 25 0.214737233855 J. Wang, Finding and investigating exact spherical codes, Experiment. Math. 18 (2009), 249–256, https://projecteuclid.org/euclid.em/1259158434.
31⁢x2−2⁢x−1
7 26 0.231331430372 J. Wang, Finding and investigating exact spherical codes, Experiment. Math. 18 (2009), 249–256, https://projecteuclid.org/euclid.em/1259158434.
7 27 0.240549382010 H. Cohn, Small spherical and projective codes, data set, 2022, DSpace@MIT, https://hdl.handle.net/1721.1/142661.
7 28 0.247356651208 H. Cohn, Small spherical and projective codes, data set, 2022, DSpace@MIT, https://hdl.handle.net/1721.1/142661.
7 29 0.248893779344 H. Cohn, Small spherical and projective codes, data set, updated 2025, DSpace@MIT, https://hdl.handle.net/1721.1/142661.
7 30 0.249468282003 H. Cohn, Small spherical and projective codes, data set, updated 2024, DSpace@MIT, https://hdl.handle.net/1721.1/142661.
7 31 0.254502767515 H. Cohn, Small spherical and projective codes, data set, 2022, DSpace@MIT, https://hdl.handle.net/1721.1/142661.
7 32 0.265595699432 H. Cohn, Small spherical and projective codes, data set, 2022, DSpace@MIT, https://hdl.handle.net/1721.1/142661.
7 33 0.270023386002 Henry Cohn, 2024.
7 34 0.277696496789 J. Wang, Finding and investigating exact spherical codes, Experiment. Math. 18 (2009), 249–256, https://projecteuclid.org/euclid.em/1259158434.
7 35 0.289773019868 J. Wang, Finding and investigating exact spherical codes, Experiment. Math. 18 (2009), 249–256, https://projecteuclid.org/euclid.em/1259158434.
7 36 0.299959896814 Henry Cohn, 2023.
7 37 0.310451288111 Henry Cohn, 2026.
7 39 0.316279494687 Henry Cohn, 2023.
71⁢x2+6⁢x−9
7 40 0.323843153340 Henry Cohn, 2023.
7 41 0.325408592469 Henry Cohn, 2023.
32⁢x4+40⁢x3−23⁢x2−4⁢x+2
7 42 0.329083455200 Henry Cohn, 2025.
7 43 0.329665776133 Henry Cohn, 2023.
Minimal polynomial listed in plain text data
7 44 0.332131779753 Henry Cohn, 2025.
Minimal polynomial listed in plain text data
7 45 0.333226297127 Henry Cohn, 2026.
7 46 0.333312302683 Henry Cohn, 2026.
7 47 0.333332883018 Henry Cohn, 2026.
7 56* 0.333333333334 T. Gosset, On the regular and semi-regular figures in space of n dimensions, Messenger Math. 29 (1900), 43–48; V. I. Levenšteĭn, On bounds for packings in n-dimensional Euclidean space (Russian), Dokl. Akad. Nauk SSSR 245 (1979), 1299–1303, English translation in Soviet Math. Dokl. 20 (1979), 417–421.
3⁢x−1
7 57 0.389612708410 Henry Cohn, 2025.
7 58 0.393749423280 Henry Cohn, 2023.
7 59 0.403215732973 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 60 0.407983464085 Henry Cohn, 2025.
7 61 0.412356098716 Henry Cohn, 2024.
7 62 0.414165104224 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 63 0.415390831033 Henry Cohn, 2025.
7 64 0.418849672915 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 67 0.421258543571 Henry Cohn, 2024.
622⁢x3−771⁢x2+288⁢x−31
7 68 0.427533551759 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 69 0.428294205644 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 70 0.428504478791 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 78 0.428571428572 T. Ericson and V. Zinoviev, Spherical codes generated by binary partitions of symmetric pointsets, IEEE Trans. Inform. Theory 41 (1995), 107–129, doi:10.1109/18.370114.
7⁢x−3
7 79 0.452634554829 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 80 0.453887992064 Henry Cohn, 2024.
Minimal polynomial listed in plain text data
7 81 0.458138645597 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 82 0.459673068887 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 83 0.460413485151 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 84 0.464981341724 Henry Cohn, 2026, needs more optimization.
7 86 0.466580867327 Henry Cohn, 2025.
Minimal polynomial listed in plain text data
7 87 0.469578821552 Henry Cohn, 2024.
7 88 0.471422440239 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
Minimal polynomial listed in plain text data
7 89 0.474245137129 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 90 0.475294477919 Henry Cohn, 2024.
7 91 0.477365257014 Henry Cohn, 2026.
7 92 0.480026527686 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 93 0.481457104911 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 94 0.482085551042 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 95 0.482130625709 Henry Cohn, 2026, needs more optimization.
7 96 0.482645252556 WolfFrogs, 2026.
7 97 0.486842071201 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 98 0.489141129031 Henry Cohn, 2026.
7 99 0.493009411323 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 100 0.494028376036 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 101 0.495013709792 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 102 0.495991491288 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 103 0.496258128498 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 104 0.497026461801 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 105 0.497932794211 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 106 0.498391940490 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 107 0.498832400687 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 108 0.499405316212 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 109 0.499717714402 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 110 0.499849974639 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 111 0.499932087751 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 112 0.499972111374 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 114 0.499996154536 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 116 0.499998956582 WolfFrogs, 2026.
7 118 0.499999181554 Henry Cohn, 2026, needs more optimization.
7 126 0.5 A. Korkine and G. Zolotareff, Sur les formes quadratiques, Math. Ann. 6 (1873), 366–389, doi:10.1007/BF01442795; J. Leech, Six and seven dimensional non-lattice sphere packings, Canad. Math. Bull. 12 (1969), 151–155, doi:10.4153/CMB-1969-014-1; J. H. Conway and N. J. A. Sloane, What are all the best sphere packings in low dimensions?, Discrete Comput. Geom. 13 (1995), 383–403, doi:10.1007/BF02574051; H. Cohn, Y. Jiao, A. Kumar, and S. Torquato, Rigidity of spherical codes, Geom. Topol. 15 (2011), 2235–2273, doi:10.2140/gt.2011.15.2235, arXiv:1102.5060.
2⁢x−1
7 127 0.509952460664 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 128 0.513834831907 Henry Cohn, 2026.
7 129 0.517664250674 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 130 0.518780653650 Henry Cohn, 2026, needs more optimization.
7 131 0.519150003376 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 135 0.519150233652 Henry Cohn, 2026, needs more optimization.
7 136 0.519153914324 Henry Cohn, 2026.
7 137 0.519751518195 Henry Cohn, 2024.
7 138 0.527218738805 Henry Cohn, 2025.
7 139 0.529887702848 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 140 0.530991424267 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 141 0.531019863226 Henry Cohn, 2026, needs more optimization.
7 142 0.531099948463 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 143 0.531315987861 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 144 0.531632269397 Henry Cohn, 2026.
7 145 0.532409979782 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 146 0.532826460410 Henry Cohn, 2026, needs more optimization.
7 147 0.533407059487 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 148 0.533990718663 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 149 0.545143756917 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 150 0.545862511912 Henry Cohn, 2026, needs more optimization.
7 151 0.545862511950 Henry Cohn, 2026, needs more optimization.
7 152 0.545862514089 Henry Cohn, 2026, needs more optimization.
7 154 0.546014546135 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
125⁢x9+2745⁢x8+492⁢x7−2092⁢x6−1090⁢x5+94⁢x4+284⁢x3+84⁢x2−3⁢x+1
7 155 0.546473120693 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 156 0.552231942712 Henry Cohn, 2026, needs more optimization.
7 157 0.556018844774 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 158 0.556023729871 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 159 0.556652086588 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 160 0.558546515907 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 161 0.558829148420 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 162 0.559629485760 Henry Cohn, 2026, needs more optimization.
7 163 0.561105723898 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 164 0.561391411974 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 167 0.561660415728 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 168 0.561688600449 Henry Cohn, 2026.
Minimal polynomial listed in plain text data
7 169 0.562559500091 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 170 0.563543243883 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 171 0.568285910825 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 172 0.569452222651 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 173 0.569639238450 Arhan Canli, 2026.
7 174 0.569781795200 Henry Cohn, 2026, needs more optimization.
7 176 0.569781851274 Henry Cohn, 2026, needs more optimization.
7 177 0.570051314136 Arhan Canli, 2026.
7 178 0.570228182541 Arhan Canli, 2026.
7 180 0.570547900651 Henry Cohn, 2026.
7 181 0.573146186213 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
1250⁢x8−725⁢x6−300⁢x4−38⁢x2+56
7 182 0.577350269190 J. H. Conway, R. H. Hardin, and N. J. A. Sloane, Packing lines, planes, etc.: packings in Grassmannian spaces, Experiment. Math. 5 (1996), 139–159, https://projecteuclid.org/euclid.em/1047565645; B. Ballinger, G. Blekherman, H. Cohn, N. Giansiracusa, E. Kelly, and A. Schürmann, Experimental study of energy-minimizing point configurations on spheres, Experiment. Math. 18 (2009), 257–283, https://projecteuclid.org/euclid.em/1259158465.
3⁢x2−1
7 183 0.586173768929 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 184 0.588182552503 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 200 0.590112298788 Henry Cohn, 2026.
19⁢x3−9⁢x2−3⁢x+1
7 201 0.594532548165 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 202 0.597686313216 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 203 0.600128337465 WolfFrogs, 2026.
7 204 0.601295600571 Arhan Canli, 2026.
7 205 0.602323919885 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 206 0.603051862435 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 207 0.603762887635 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 208 0.606261907358 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 209 0.608036706858 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 210 0.609447176471 WolfFrogs, 2026.
7 211 0.610334158251 WolfFrogs, 2026.
7 212 0.611946130573 Arhan Canli, 2026.
7 213 0.612666339789 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 214 0.613274598742 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 215 0.614263289089 Arhan Canli, 2026.
7 216 0.615145318474 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 218 0.615558395315 Arhan Canli, 2026.
7 219 0.616171211557 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 220 0.616489540390 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 221 0.617908322864 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 222 0.618012390898 Arhan Canli, 2026.
7 223 0.618284197574 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 224 0.619243319556 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 225 0.620191854122 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 226 0.620889427903 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 227 0.621439811393 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 228 0.622024230260 Arhan Canli, 2026.
7 229 0.622563182614 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 230 0.622995459545 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 231 0.623882858473 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 232 0.624570556068 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 233 0.625729741650 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 234 0.626359207806 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 235 0.627077768940 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 236 0.628050135197 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 237 0.628343304510 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 238 0.628689413470 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 239 0.629364200821 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 240 0.630428718354 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 241 0.630995113237 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 242 0.631186177913 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 243 0.631580976420 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 245 0.631790871621 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 246 0.632224280854 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 247 0.632968634560 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 248 0.633266711590 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 249 0.633876057249 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 250 0.634432987821 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 251 0.635053851576 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 252 0.635379252074 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 253 0.635705416995 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 254 0.635779040119 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 255 0.636304059783 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 256 0.636676560404 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 257 0.637091507336 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 258 0.637930699137 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 259 0.638288180449 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 260 0.639090597705 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 261 0.639465915604 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 262 0.639854191847 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 263 0.640331731619 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 264 0.640839963395 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 265 0.642970522325 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 266 0.643687803365 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 267 0.643761014902 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 268 0.644140616909 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 269 0.644641683352 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 271 0.645018798372 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 272 0.645846960022 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 273 0.646381112735 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 274 0.646448905807 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 275 0.647041841436 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 276 0.647123386608 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 277 0.647672489959 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 278 0.648140979120 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 279 0.648868438427 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 280 0.649489331123 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 281 0.649724841590 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 282 0.650142078253 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 283 0.650749112240 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 284 0.651356047887 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 285 0.651515687257 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 286 0.652086977371 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 287 0.652369757877 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 288 0.652749007577 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 289 0.652943714635 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 290 0.654068934430 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 291 0.654539292361 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 293 0.654855419158 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 294 0.655577161883 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 295 0.655685851311 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 296 0.655915400982 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 297 0.656254927086 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 298 0.656587490507 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 299 0.657165804635 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 301 0.657826134205 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 302 0.658216750327 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 303 0.658772344386 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 304 0.659038256179 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 305 0.659758601169 Pavlos Moros, 2026.
7 306 0.659788007025 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 307 0.660073046898 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 310 0.660669821755 Henry Cohn, 2026, needs more optimization.
7 311 0.661014039051 WolfFrogs, 2026.
7 312 0.661578270929 Henry Cohn, 2026, needs more optimization.
7 313 0.661907958851 Henry Cohn, 2026, needs more optimization.
7 314 0.662230565911 Arhan Canli, 2026.
7 315 0.662416986720 Arhan Canli, 2026.
7 316 0.663252735051 Henry Cohn, 2026, needs more optimization.
7 317 0.663576019938 Arhan Canli, 2026.
7 318 0.663794569192 Arhan Canli, 2026.
7 319 0.664145879861 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 320 0.664199615726 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 321 0.664752832524 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 322 0.664915027294 Henry Cohn, 2026, needs more optimization.
7 323 0.664998948391 Henry Cohn, 2026, needs more optimization.
7 324 0.665072265371 WolfFrogs, 2026.
7 325 0.665472999627 Henry Cohn, 2026, needs more optimization.
7 326 0.665513256459 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 327 0.665676566326 Pavlos Moros, 2026.
7 328 0.665684209414 WolfFrogs, 2026.
7 329 0.665737853366 WolfFrogs, 2026.
7 331 0.665782682691 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 332 0.665951399591 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 333 0.666009092842 WolfFrogs, 2026.
7 334 0.666148409335 Pavlos Moros, 2026.
7 335 0.666203113851 WolfFrogs, 2026.
7 337 0.666666227468 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 358 0.666666666667 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
3⁢x−2
7 359 0.668169153059 WolfFrogs, 2026.
7 360 0.668706906376 WolfFrogs, 2026.
7 361 0.668937174268 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 362 0.668965354372 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 364 0.668971516703 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 365 0.670467238587 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 366 0.670923707775 Arhan Canli, 2026.
7 367 0.671526578995 Arhan Canli, 2026.
7 368 0.671586876700 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 369 0.671829787739 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 370 0.672135805879 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 371 0.672555027738 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 372 0.673529089044 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 373 0.673801702489 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 374 0.673899889413 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 375 0.674132565873 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 376 0.674346673477 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 377 0.674541801131 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 378 0.674776647350 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 379 0.675004160239 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 380 0.675372970236 Arhan Canli, 2026.
7 381 0.675633572057 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 382 0.675923934478 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 383 0.676302941347 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 384 0.676436787067 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 385 0.676680573915 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 386 0.676940213991 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 387 0.677132909131 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 388 0.677330114526 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 389 0.677553227924 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 390 0.677910268702 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 391 0.678147725589 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 392 0.678150450992 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 393 0.678377571064 Arhan Canli, 2026.
7 394 0.678830592710 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 395 0.679193845917 Arhan Canli, 2026.
7 396 0.679749498672 Arhan Canli, 2026.
7 397 0.679966040549 Arhan Canli, 2026.
7 398 0.680332094322 Arhan Canli, 2026.
7 399 0.680373521377 WolfFrogs, 2026.
7 400 0.680517633957 Pavlos Moros, 2026.
7 401 0.680728321258 Arhan Canli, 2026.
7 402 0.680787705898 Arhan Canli, 2026.
7 403 0.681085413442 Arhan Canli, 2026.
7 404 0.681330882706 Arhan Canli, 2026.
7 405 0.681618512896 Arhan Canli, 2026.
7 406 0.681765583091 Arhan Canli, 2026.
7 407 0.681906431293 Arhan Canli, 2026.
7 408 0.682074847526 Arhan Canli, 2026.
7 409 0.682138872009 Arhan Canli, 2026.
7 410 0.682285935039 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 411 0.682386267316 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 412 0.682447451976 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 413 0.682567248525 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 414 0.682695583073 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 415 0.683065642141 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 416 0.683358540374 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 417 0.684337245580 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 418 0.684466752198 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 419 0.684656891595 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 420 0.684893070354 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 421 0.685689604389 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 422 0.686119368175 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 423 0.686442098754 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 424 0.686630054150 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 425 0.687330177459 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 426 0.687544053623 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 427 0.688418015144 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 428 0.689230515797 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 429 0.689809721173 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 430 0.690379757119 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 431 0.690842064566 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 432 0.691451833642 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 433 0.691858303370 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 434 0.692123235696 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 435 0.692280231777 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 436 0.692753454596 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 437 0.693266145984 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 438 0.693767795522 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 439 0.694073737884 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 440 0.694749944583 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 441 0.695131248608 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 442 0.695204605617 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 443 0.695734475298 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 444 0.696077820800 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 445 0.696369706031 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 446 0.696574620743 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 447 0.697104265387 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 448 0.697183416033 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 449 0.697538024407 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 450 0.697896694931 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 451 0.698135887071 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 452 0.698555637390 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 453 0.699030915689 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 454 0.699235097183 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 455 0.699441285078 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 456 0.700056539559 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 457 0.700517392185 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 463 0.700615392503 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 464 0.700689959911 Arhan Canli, 2026.
7 466 0.701001641354 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 468 0.701467877188 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 469 0.701599820526 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 470 0.702068776533 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 472 0.702222620549 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 474 0.702350087803 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 477 0.702465468416 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 478 0.702774538068 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 479 0.703035913514 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 480 0.703154176343 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 481 0.703387854132 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 482 0.703549800024 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 484 0.703622191623 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 486 0.703665951932 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 487 0.703707496065 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 488 0.703779035538 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 492 0.704178142253 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 493 0.704672426468 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 494 0.705007241771 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 495 0.705482276421 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 496 0.706025235977 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 497 0.706742283417 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 498 0.708829304088 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 499 0.709084735432 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 500 0.709220443697 Arhan Canli, 2026.
7 502 0.709513947330 Arhan Canli, 2026.
7 503 0.709999238958 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 504 0.710217020338 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 506 0.710404563245 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 507 0.710671865427 Henry Cohn, 2026, needs more optimization.
7 508 0.710755099471 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 509 0.710836309273 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 512 0.711069901320 Henry Cohn, 2026, needs more optimization.
7 513 0.711195077901 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 514 0.711304032320 Henry Cohn, 2026, needs more optimization.
7 517 0.711634247156 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 520 0.712120644580 Henry Cohn, 2026, needs more optimization.
7 522 0.712145429249 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 523 0.712690226987 Pavlos Moros, 2026.
7 524 0.712933228798 Pavlos Moros, 2026.
7 525 0.712938394028 Pavlos Moros, 2026.
7 526 0.712959786318 Pavlos Moros, 2026.
7 527 0.712995822311 Pavlos Moros, 2026.
7 528 0.713064993855 Pavlos Moros, 2026.
7 529 0.713152072822 Henry Cohn, 2026, needs more optimization.
7 530 0.713308298778 Henry Cohn, 2026, needs more optimization.
7 531 0.713361365434 Henry Cohn, 2026, needs more optimization.
7 532 0.713415208296 Henry Cohn, 2026, needs more optimization.
7 533 0.713447404957 Henry Cohn, 2026, needs more optimization.
7 534 0.713451231728 Henry Cohn, 2026, needs more optimization.
7 535 0.713464195701 Henry Cohn, 2026, needs more optimization.
7 536 0.713490025516 Henry Cohn, 2026, needs more optimization.
7 537 0.713745249663 Henry Cohn, 2026, needs more optimization.
7 538 0.713747925516 Henry Cohn, 2026, needs more optimization.
7 539 0.713786173867 Henry Cohn, 2026, needs more optimization.
7 540 0.713838001218 Henry Cohn, 2026, needs more optimization.
7 542 0.713884808298 Henry Cohn, 2026, needs more optimization.
7 543 0.713952070258 Henry Cohn, 2026, needs more optimization.
7 544 0.714015095859 Henry Cohn, 2026, needs more optimization.
7 545 0.714047710626 Henry Cohn, 2026, needs more optimization.
7 546 0.714048147661 Henry Cohn, 2026, needs more optimization.
7 547 0.714050848158 Pavlos Moros, 2026.
7 548 0.714090766715 Henry Cohn, 2026, needs more optimization.
7 549 0.714103978770 Henry Cohn, 2026, needs more optimization.
7 550 0.714164044793 Henry Cohn, 2026, needs more optimization.
7 551 0.714167970915 Henry Cohn, 2026, needs more optimization.
7 632 0.714285714286 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
7⁢x−5
7 633 0.718297547507 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 634 0.720000325262 Henry Cohn, 2026, needs more optimization.
7 635 0.721178135016 Henry Cohn, 2026, needs more optimization.
7 636 0.722117612140 Henry Cohn, 2026, needs more optimization.
7 637 0.722881851590 Henry Cohn, 2026, needs more optimization.
7 638 0.723668992008 Henry Cohn, 2026, needs more optimization.
7 639 0.724333108957 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 640 0.724989550022 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 641 0.725503573961 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 642 0.726049803564 Henry Cohn, 2026, needs more optimization.
7 643 0.726401613030 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 644 0.726738816647 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 645 0.727041221531 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 646 0.727302059181 Henry Cohn, 2026, needs more optimization.
7 647 0.727483831901 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 648 0.727700360073 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 650 0.728170557953 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 651 0.728411895015 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 652 0.729538070659 Henry Cohn, 2026, needs more optimization.
7 653 0.729742995436 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 654 0.729923930535 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 655 0.729930872535 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 656 0.730552174611 Henry Cohn, 2026, needs more optimization.
7 657 0.730761943477 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 658 0.730961181165 Henry Cohn, 2026, needs more optimization.
7 659 0.731012193282 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 660 0.731486941472 Henry Cohn, 2026, needs more optimization.
7 661 0.731863699076 Henry Cohn, 2026, needs more optimization.
7 662 0.732087884592 Henry Cohn, 2026, needs more optimization.
7 663 0.732122018043 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 664 0.732442025492 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 665 0.732888866805 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 666 0.733212843605 Henry Cohn, 2026, needs more optimization.
7 667 0.733492038260 Henry Cohn, 2026, needs more optimization.
7 668 0.733699771317 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 669 0.734013794084 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 670 0.734308428381 Henry Cohn, 2026, needs more optimization.
7 671 0.734575888299 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 672 0.734596056380 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 673 0.735093096240 Henry Cohn, 2026, needs more optimization.
7 674 0.735255632239 Henry Cohn, 2026, needs more optimization.
7 676 0.735569166015 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 677 0.735823405398 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 678 0.736072446053 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 679 0.736271837999 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 680 0.736571855263 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 682 0.737073826809 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 683 0.737487993737 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 684 0.737616235336 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 685 0.737758004643 Henry Cohn, 2026, needs more optimization.
7 687 0.737903692982 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 689 0.737916478771 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 690 0.738002300377 Henry Cohn, 2026, needs more optimization.
7 698 0.738395191654 Henry Cohn, 2026, needs more optimization.
7 699 0.738450524038 Henry Cohn, 2026, needs more optimization.
7 700 0.738653996455 Henry Cohn, 2026, needs more optimization.
7 701 0.739043024765 Henry Cohn, 2026, needs more optimization.
7 702 0.739266906138 Henry Cohn, 2026, needs more optimization.
7 703 0.739274108134 Henry Cohn, 2026, needs more optimization.
7 707 0.739351490891 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 716 0.739530875607 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 717 0.740404600677 Henry Cohn, 2026, needs more optimization.
7 718 0.740679472823 Henry Cohn, 2026, needs more optimization.
7 719 0.741111416086 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 720 0.741245406235 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 728 0.741501509621 Henry Cohn, 2026, needs more optimization.
7 734 0.741625915679 Henry Cohn, 2026, needs more optimization.
7 740 0.741721806849 Henry Cohn, 2026, needs more optimization.
7 741 0.742117480488 Henry Cohn, 2026, needs more optimization.
7 742 0.742151595814 Henry Cohn, 2026, needs more optimization.
7 743 0.742201833323 Henry Cohn, 2026, needs more optimization.
7 744 0.742352551089 Henry Cohn, 2026, needs more optimization.
7 748 0.743551158065 Pavlos Moros, 2026.
7 749 0.743582940340 Pavlos Moros, 2026.
7 750 0.743589725346 Henry Cohn, 2026, needs more optimization.
7 792 0.744904412220 Henry Cohn, 2026, needs more optimization.
7 793 0.745228392255 Henry Cohn, 2026, needs more optimization.
7 794 0.746414751725 Henry Cohn, 2026, needs more optimization.
7 795 0.747722460793 Henry Cohn, 2026, needs more optimization.
7 796 0.747806529923 Henry Cohn, 2026, needs more optimization.
7 797 0.748073459601 Henry Cohn, 2026, needs more optimization.
7 798 0.748302826582 Henry Cohn, 2026, needs more optimization.
7 882 0.75 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
4⁢x−3
7 883 0.755753466768 Henry Cohn, 2026, needs more optimization.
7 884 0.758445321203 Henry Cohn, 2026, needs more optimization.
7 885 0.758472952827 Henry Cohn, 2026, needs more optimization.
7 886 0.758498496880 Henry Cohn, 2026, needs more optimization.
7 887 0.758520687924 Henry Cohn, 2026, needs more optimization.
7 888 0.758542497350 Henry Cohn, 2026, needs more optimization.
7 889 0.758569458295 Henry Cohn, 2026, needs more optimization.
7 890 0.758574722277 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 891 0.758951342842 Henry Cohn, 2026, needs more optimization.
7 894 0.759442314860 Henry Cohn, 2026, needs more optimization.
7 895 0.760658578139 Henry Cohn, 2026, needs more optimization.
7 896 0.760750349076 Henry Cohn, 2026, needs more optimization.
7 903 0.760752901430 Henry Cohn, 2026, needs more optimization.
7 906 0.760995591693 Henry Cohn, 2026, needs more optimization.
7 907 0.761831703823 Henry Cohn, 2026, needs more optimization.
7 908 0.762111276215 Henry Cohn, 2026, needs more optimization.
7 909 0.762409655625 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 910 0.762431279968 Henry Cohn, 2026, needs more optimization.
7 911 0.762436798730 Henry Cohn, 2026, needs more optimization.
7 912 0.762553639227 Henry Cohn, 2026, needs more optimization.
7 913 0.762554283556 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 914 0.762643612595 Henry Cohn, 2026, needs more optimization.
7 917 0.762801641167 Henry Cohn, 2026, needs more optimization.
7 918 0.762953731790 Henry Cohn, 2026, needs more optimization.
7 919 0.762954157984 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 920 0.763220735220 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 921 0.763279598096 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 922 0.763317129221 Pavlos Moros, 2026.
7 924 0.763414062234 Henry Cohn, 2026, needs more optimization.
7 925 0.764026973880 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 929 0.764296537562 Henry Cohn, 2026, needs more optimization.
7 934 0.765705408815 Henry Cohn, 2026, needs more optimization.
7 941 0.766242093431 Henry Cohn, 2026, needs more optimization.
7 942 0.767666590278 Henry Cohn, 2026, needs more optimization.
7 943 0.767707082863 Henry Cohn, 2026, needs more optimization.
7 944 0.767759142105 Henry Cohn, 2026, needs more optimization.
7 956 0.767983309230 Henry Cohn, 2026, needs more optimization.
7 959 0.768549322853 Henry Cohn, 2026, needs more optimization.
7 963 0.768897289710 Henry Cohn, 2026, needs more optimization.
7 976 0.770121124831 Henry Cohn, 2026, needs more optimization.
7 978 0.770460106167 Henry Cohn, 2026, needs more optimization.
7 979 0.773002418933 Henry Cohn, 2026, needs more optimization.
7 980 0.773199075401 Henry Cohn, 2026, needs more optimization.
7 981 0.773483054531 Henry Cohn, 2026, needs more optimization.
7 982 0.773833773579 Henry Cohn, 2026, needs more optimization.
7 983 0.774101396061 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 984 0.774140470908 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 985 0.774265123175 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 986 0.774312872516 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 987 0.774445460923 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 988 0.774538799958 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 989 0.774576423774 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 990 0.774686809382 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 991 0.774759140788 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 992 0.774838876425 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 993 0.774895931916 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 994 0.774976069092 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 995 0.775061902746 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 996 0.775129224781 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 997 0.775240948670 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 998 0.775289254887 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 999 0.775387299770 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 1000 0.775391318859 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 1001 0.775417733942 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 1002 0.775563049573 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 1003 0.775619943255 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 1004 0.775629234249 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 1005 0.775762057171 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 1006 0.775866607337 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 1007 0.775911422320 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 1008 0.776013384220 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 1009 0.776096249548 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 1010 0.776166271117 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 1011 0.776281325897 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 1012 0.776302768781 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 1013 0.776373199650 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 1014 0.776496808380 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 1015 0.776581038745 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 1016 0.776628980050 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 1017 0.776730192660 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 1018 0.776794271547 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 1019 0.776885810907 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 1020 0.776962420196 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 1021 0.777035407862 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 1022 0.777093723875 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 1023 0.777156727196 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
7 1024 0.777224123936 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 17 0.087733463324 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
288⁢x3−64⁢x2−8⁢x+1
8 18 0.099469572709 J. Wang, Finding and investigating exact spherical codes, Experiment. Math. 18 (2009), 249–256, https://projecteuclid.org/euclid.em/1259158434.
8 19 0.111409975027 J. Wang, Finding and investigating exact spherical codes, Experiment. Math. 18 (2009), 249–256, https://projecteuclid.org/euclid.em/1259158434.
Minimal polynomial listed in plain text data
8 20 0.119496866688 J. Wang, Finding and investigating exact spherical codes, Experiment. Math. 18 (2009), 249–256, https://projecteuclid.org/euclid.em/1259158434.
224⁢x3+60⁢x2−2⁢x−1
8 21 0.130601937482 J. Wang, Finding and investigating exact spherical codes, Experiment. Math. 18 (2009), 249–256, https://projecteuclid.org/euclid.em/1259158434.
28⁢x2+4⁢x−1
8 22 0.130601937482 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
28⁢x2+4⁢x−1
8 23 0.157169941990 J. Wang, Finding and investigating exact spherical codes, Experiment. Math. 18 (2009), 249–256, https://projecteuclid.org/euclid.em/1259158434.
Minimal polynomial listed in plain text data
8 24 0.157692144940 J. Wang, Finding and investigating exact spherical codes, Experiment. Math. 18 (2009), 249–256, https://projecteuclid.org/euclid.em/1259158434.
4⁢x4−4⁢x3−27⁢x2−2⁢x+1
8 25 0.164334174126 H. Cohn, Small spherical and projective codes, data set, 2022, DSpace@MIT, https://hdl.handle.net/1721.1/142661.
Minimal polynomial listed in plain text data
8 26 0.172652095036 H. Cohn, Small spherical and projective codes, data set, 2022, DSpace@MIT, https://hdl.handle.net/1721.1/142661.
Minimal polynomial listed in plain text data
8 27 0.179856457059 H. Cohn, Small spherical and projective codes, data set, 2022, DSpace@MIT, https://hdl.handle.net/1721.1/142661.
Minimal polynomial listed in plain text data
8 28 0.181158420022 H. Cohn, Small spherical and projective codes, data set, 2022, DSpace@MIT, https://hdl.handle.net/1721.1/142661.
36⁢x4+24⁢x3−36⁢x2+1
8 29 0.187922490077 H. Cohn, Small spherical and projective codes, data set, updated 2024, DSpace@MIT, https://hdl.handle.net/1721.1/142661.
8 30 0.203916279404 H. Cohn, Small spherical and projective codes, data set, 2022, DSpace@MIT, https://hdl.handle.net/1721.1/142661.
8 31 0.219706528517 H. Cohn, Small spherical and projective codes, data set, updated 2024, DSpace@MIT, https://hdl.handle.net/1721.1/142661.
8 32 0.227325452024 H. Cohn, Small spherical and projective codes, data set, updated 2023, DSpace@MIT, https://hdl.handle.net/1721.1/142661.
95⁢x2−4⁢x−4
8 33 0.227325452024 Henry Cohn, 2023.
95⁢x2−4⁢x−4
8 34 0.233864616950 Henry Cohn, 2023.
26887680⁢x6+11003904⁢x5−444096⁢x4−594432⁢x3−55800⁢x2−480⁢x−1
8 35 0.236461100794 Henry Cohn, 2023.
4⁢x4+8⁢x3−20⁢x2+1
8 38 0.239920745566 Henry Cohn, 2023.
1088⁢x4−80⁢x2+1
8 39 0.243600150512 Henry Cohn, 2023.
1183744⁢x8+122880⁢x7−575488⁢x6−138240⁢x5+53632⁢x4+14976⁢x3−1568⁢x2−720⁢x+81
8 40 0.265121155593 Henry Cohn, 2025.
8 41 0.269588854450 Henry Cohn, 2025.
8 42 0.276791074187 Henry Cohn, 2023.
8 43 0.285155668748 Henry Cohn, 2025.
8 44 0.288883348745 Henry Cohn, 2026.
8 45 0.293504048474 Henry Cohn, 2025.
8 46 0.298271343353 Henry Cohn, 2025.
8 47 0.301070997037 Henry Cohn, 2025.
8 48 0.306282125496 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 49 0.310389147843 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 50 0.314033492890 Henry Cohn, 2026.
8 51 0.316443462389 Henry Cohn, 2026.
8 52 0.317147531407 Henry Cohn, 2025.
8 53 0.323010527708 Henry Cohn, 2025.
8 54 0.326002020004 Henry Cohn, 2025.
8 55 0.328647326389 Henry Cohn, 2025.
8 56 0.330635803908 Henry Cohn, 2024.
8 57 0.332150812596 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 58 0.332676598414 Henry Cohn, 2025.
8 59 0.333047458957 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 60 0.333151357502 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 61 0.333209980467 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 62 0.333256273907 Henry Cohn, 2025.
8 63 0.333327460019 Henry Cohn, 2025.
8 64 0.333333333334 T. Ericson and V. Zinoviev, Spherical codes generated by binary partitions of symmetric pointsets, IEEE Trans. Inform. Theory 41 (1995), 107–129, doi:10.1109/18.370114.
3⁢x−1
8 65 0.340292894900 Henry Cohn, 2025.
8 66 0.348587110939 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 67 0.350755730045 Henry Cohn, 2025.
8 68 0.352461904199 Henry Cohn, 2025.
8 71 0.353553390594 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
8⁢x2−1
8 72 0.357142857143 J. H. Conway, R. H. Hardin, and N. J. A. Sloane, Packing lines, planes, etc.: packings in Grassmannian spaces, Experiment. Math. 5 (1996), 139–159, https://projecteuclid.org/euclid.em/1047565645.
14⁢x−5
8 73 0.374351529308 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 74 0.375030122030 Henry Cohn, 2025.
8 75 0.380095198353 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 76 0.383280469013 Henry Cohn, 2023.
8 77 0.386305789989 Henry Cohn, 2025.
8 78 0.387847284160 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 79 0.394981375552 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 80 0.396538111934 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 83 0.4 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5⁢x−2
8 84 0.401846838467 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 85 0.404581540848 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 86 0.405334578003 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 87 0.409316951820 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 88 0.414496555473 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 89 0.418879541456 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 90 0.420094879237 WolfFrogs, 2026.
8 91 0.422012113619 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 92 0.422534257743 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 93 0.423439618648 Henry Cohn, 2026.
8 94 0.425228129624 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 95 0.425941370243 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 96 0.426574591730 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 97 0.427496184451 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 98 0.428017627035 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 99 0.428528982794 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 100 0.428556416307 Henry Cohn, 2026.
8 101 0.428570622361 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 114 0.428571428572 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
7⁢x−3
8 115 0.447549129183 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 116 0.448006550764 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 117 0.451120240325 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 118 0.455245746618 Henry Cohn, 2026, needs more optimization.
8 119 0.458816566687 Arhan Canli, 2026.
8 120 0.459145126780 Arhan Canli, 2026.
8 121 0.460383289320 Henry Cohn, 2026, needs more optimization.
8 122 0.461371601821 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 123 0.461840931837 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 124 0.462008783202 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 125 0.462338089318 Henry Cohn, 2026, needs more optimization.
8 126 0.462515578819 Arhan Canli, 2026.
8 136 0.462585942982 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
68⁢x2−12⁢x−9
8 137 0.466198512763 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 138 0.467414917187 Henry Cohn, 2026, needs more optimization.
8 139 0.468626675290 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 140 0.470739427918 Arhan Canli, 2026.
8 141 0.472435490732 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 142 0.475908546178 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 143 0.476461010968 Henry Cohn, 2026, needs more optimization.
8 144 0.480908914999 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 145 0.481521469834 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 146 0.482399773434 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 147 0.484209448415 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 148 0.484245716110 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 149 0.486767184379 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 150 0.487648230980 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 151 0.487887508881 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 152 0.489724705162 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 153 0.490239965151 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 154 0.491215963917 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 155 0.491623402860 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 157 0.491894252940 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 158 0.492271275301 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 159 0.493786626741 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 160 0.494568722728 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 161 0.495153169130 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 162 0.495523833137 Henry Cohn, 2026, needs more optimization.
8 163 0.495955193965 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 164 0.496214575647 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 165 0.496460499905 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 166 0.496544477279 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 167 0.497664822236 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 168 0.497869050483 Pavlos Moros, 2026.
8 169 0.498128393608 Arhan Canli, 2026.
8 170 0.498357159483 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 171 0.498524508761 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 172 0.498771778705 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 173 0.499105256774 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 174 0.499223817331 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 175 0.499471339965 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 176 0.499589472866 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 177 0.499697127938 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 178 0.499766168860 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 179 0.499813915649 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 180 0.499908532950 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 181 0.499916999850 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 182 0.499946752549 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 183 0.499963528269 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 184 0.499985210413 Henry Cohn, 2026, needs more optimization.
8 185 0.499990000854 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 186 0.499993235395 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 187 0.499998008153 Henry Cohn, 2026, needs more optimization.
8 189 0.499999552096 Henry Cohn, 2026, needs more optimization.
8 190 0.499999999195 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 240* 0.5 A. Korkine and G. Zolotareff, Sur les formes quadratiques, Math. Ann. 6 (1873), 366–389, doi:10.1007/BF01442795; V. I. Levenšteĭn, On bounds for packings in n-dimensional Euclidean space (Russian), Dokl. Akad. Nauk SSSR 245 (1979), 1299–1303, English translation in Soviet Math. Dokl. 20 (1979), 417–421; A. M. Odlyzko and N. J. A. Sloane, New bounds on the number of unit spheres that can touch a unit sphere in n dimensions, J. Combin. Theory Ser. A 26 (1979), 210–214, doi:10.1016/0097-3165(79)90074-8.
2⁢x−1
8 241 0.539498331391 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 242 0.543974310796 Pavlos Moros, 2026.
8 243 0.547175986802 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 244 0.549283805935 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 245 0.551383290811 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 246 0.552666772638 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 247 0.553380715777 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 248 0.554776566902 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 249 0.557438797449 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 250 0.558859739958 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 251 0.560701675879 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 252 0.560729052569 Pavlos Moros, 2026.
8 253 0.560729053839 Arhan Canli, 2026.
8 255 0.560737730131 Arhan Canli, 2026.
8 256 0.564484384386 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 257 0.564818410964 Arhan Canli, 2026.
8 258 0.566617263443 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 259 0.567384554205 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 260 0.567576203762 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 261 0.567963881581 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 262 0.568027502718 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 263 0.568442134859 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 264 0.568938325041 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 265 0.569300707022 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 266 0.569804194898 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 267 0.570225647254 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 268 0.570824502486 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 269 0.571527676670 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 270 0.572158522952 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 271 0.572991204275 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 272 0.573658832365 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 273 0.574551603666 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 275 0.575635373993 Henry Cohn, 2026, needs more optimization.
8 276 0.576453604803 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 285 0.577069495831 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 286 0.577244417897 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 287 0.578094938896 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 288 0.578133513088 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 289 0.578729323964 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 290 0.579469739594 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 291 0.580564759738 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 292 0.580921020516 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 293 0.582165966195 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 294 0.583062827889 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 295 0.584892202176 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 296 0.585051761322 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 297 0.586015232254 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 298 0.586015597979 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 299 0.586015618477 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 300 0.586015921431 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 301 0.586019086073 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 302 0.586019094591 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 303 0.586019264900 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 304 0.586019294083 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 305 0.586019301410 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 306 0.586019334774 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 307 0.586019376439 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 308 0.586019452027 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 309 0.586031719097 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 310 0.586042174409 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 311 0.586042196137 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 312 0.586045967936 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 313 0.586045979773 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 315 0.586047842011 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 316 0.586069473529 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 317 0.586087492508 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 318 0.586089716610 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 319 0.586090913838 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 320 0.586127751646 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 321 0.586137681788 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 324 0.586181180100 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 332 0.586201033835 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
Minimal polynomial listed in plain text data
8 333 0.587750058926 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 334 0.592276912366 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 335 0.594095531179 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 336 0.596194807823 Pavlos Moros, 2026.
8 337 0.596683329547 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 338 0.597338460895 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 339 0.597567878548 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 344 0.598606759649 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 345 0.599244133397 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 346 0.600104972209 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 347 0.600567921186 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 349 0.602573933959 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 350 0.603330697846 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 351 0.604148600280 Pavlos Moros, 2026.
8 352 0.604190433090 Arhan Canli, 2026.
8 353 0.604274472545 Arhan Canli, 2026.
8 354 0.604380902540 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 355 0.604679123536 Arhan Canli, 2026.
8 356 0.605163953643 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 357 0.605359620468 Arhan Canli, 2026.
8 358 0.605460066438 Pavlos Moros, 2026.
8 359 0.606897423448 Arhan Canli, 2026.
8 360 0.606950820413 .
8 361 0.607270330957 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 362 0.609113657706 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 363 0.609412057740 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 364 0.609623239851 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 365 0.609798003561 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 366 0.610155653715 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 367 0.610609275081 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 368 0.611122956334 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 371 0.611961505563 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 372 0.612285836117 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 373 0.614353977030 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 374 0.614813127121 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 375 0.616592123301 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 376 0.616762070471 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 378 0.617470233543 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 379 0.618230442382 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 380 0.618253881874 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 381 0.618738576218 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 382 0.619301816486 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 383 0.619581794759 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 384 0.619950643740 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 385 0.620517487163 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 386 0.621043610473 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 387 0.621566781504 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 388 0.621941117548 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 389 0.622556489303 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 390 0.623039029212 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 391 0.623479672770 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 392 0.623825151444 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 393 0.624243896766 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 394 0.624422564957 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 395 0.625006363927 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 396 0.625351446106 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 397 0.625782672497 Arhan Canli, 2026.
8 398 0.626129861602 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 399 0.626442105756 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 400 0.626774641079 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 401 0.627067932374 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 402 0.627706713568 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 403 0.628045675640 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 404 0.628551963764 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 405 0.628797988295 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 406 0.629274498338 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 407 0.629593936904 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 408 0.629935510796 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 409 0.630332158803 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 410 0.630479149133 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 411 0.630933279820 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 412 0.631073987145 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 413 0.631252380871 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 414 0.631561288556 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 415 0.631727415918 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 416 0.632166740850 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 417 0.632602498615 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 418 0.633229991371 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 419 0.633555631898 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 421 0.633580647973 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 424 0.634053632816 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 426 0.634528074203 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 427 0.634912847800 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 428 0.635138973323 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 429 0.635250564616 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
8 430 0.635691438941 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 431 0.636607887796 Arhan Canli, 2026.
8 432 0.636808633186 Arhan Canli, 2026.
8 433 0.637083856260 Arhan Canli, 2026.
8 434 0.637466453615 Arhan Canli, 2026.
8 435 0.637614650816 Arhan Canli, 2026.
8 436 0.637914484928 Arhan Canli, 2026.
8 437 0.638081346774 Arhan Canli, 2026.
8 443 0.638843123826 Henry Cohn, 2026, needs more optimization.
8 449 0.639923243298 Henry Cohn, 2026, needs more optimization.
8 456 0.640864400266 Henry Cohn, 2026, needs more optimization.
8 457 0.641706456803 Henry Cohn, 2026, needs more optimization.
8 458 0.641739483243 Henry Cohn, 2026, needs more optimization.
8 459 0.641867809830 Henry Cohn, 2026, needs more optimization.
8 460 0.641913063087 Henry Cohn, 2026, needs more optimization.
8 461 0.641965695981 Henry Cohn, 2026, needs more optimization.
8 462 0.642059454993 Henry Cohn, 2026, needs more optimization.
8 466 0.642251461111 Henry Cohn, 2026, needs more optimization.
8 467 0.642685589981 Henry Cohn, 2026, needs more optimization.
8 468 0.642925397221 Henry Cohn, 2026, needs more optimization.
8 469 0.643118880247 Henry Cohn, 2026, needs more optimization.
8 470 0.643283056956 Henry Cohn, 2026, needs more optimization.
8 471 0.643437148885 Henry Cohn, 2026, needs more optimization.
8 472 0.643634425081 Henry Cohn, 2026, needs more optimization.
8 473 0.643808928461 Henry Cohn, 2026, needs more optimization.
8 474 0.643832467478 Henry Cohn, 2026, needs more optimization.
8 475 0.644048101777 Henry Cohn, 2026, needs more optimization.
8 477 0.644182951096 Henry Cohn, 2026, needs more optimization.
8 479 0.644441280212 Henry Cohn, 2026, needs more optimization.
8 480 0.645221320891 Henry Cohn, 2026, needs more optimization.
8 481 0.645331615866 Henry Cohn, 2026, needs more optimization.
8 482 0.645543878199 Henry Cohn, 2026, needs more optimization.
8 483 0.645587892986 Uploaded by anonymous internet user, 2026.
8 484 0.646153653325 Henry Cohn, 2026, needs more optimization.
8 485 0.646265513086 Henry Cohn, 2026, needs more optimization.
8 487 0.646720301634 Henry Cohn, 2026, needs more optimization.
8 489 0.647076477085 Henry Cohn, 2026, needs more optimization.
8 490 0.647720497954 Henry Cohn, 2026, needs more optimization.
8 491 0.647997361639 Henry Cohn, 2026, needs more optimization.
8 493 0.648293030755 Henry Cohn, 2026, needs more optimization.
8 494 0.648971976073 Henry Cohn, 2026, needs more optimization.
8 495 0.648986508629 Henry Cohn, 2026, needs more optimization.
8 496 0.649025076459 Henry Cohn, 2026, needs more optimization.
8 497 0.649037991720 Henry Cohn, 2026, needs more optimization.
8 498 0.649062796968 Henry Cohn, 2026, needs more optimization.
8 499 0.649093025919 Henry Cohn, 2026, needs more optimization.
8 500 0.649396750352 Henry Cohn, 2026, needs more optimization.
8 501 0.649398797989 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 502 0.649713960657 Henry Cohn, 2026, needs more optimization.
8 503 0.649819605260 Henry Cohn, 2026, needs more optimization.
8 504 0.650329415796 Henry Cohn, 2026, needs more optimization.
8 505 0.650400041841 Henry Cohn, 2026, needs more optimization.
8 508 0.650561539272 Henry Cohn, 2026, needs more optimization.
8 509 0.650937682926 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 511 0.651579178191 Pavlos Moros, 2026.
8 512 0.651667898368 Pavlos Moros, 2026.
8 513 0.651679258341 Henry Cohn, 2026, needs more optimization.
8 514 0.651986205732 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 515 0.652417386296 Henry Cohn, 2026, needs more optimization.
8 517 0.652557914923 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 518 0.652842202439 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 519 0.653023813845 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 521 0.653276844091 Henry Cohn, 2026, needs more optimization.
8 522 0.653354781955 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 523 0.653765124151 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 524 0.653942974234 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 525 0.654182539157 Henry Cohn, 2026, needs more optimization.
8 526 0.654395712298 Henry Cohn, 2026, needs more optimization.
8 527 0.654610621205 Henry Cohn, 2026, needs more optimization.
8 528 0.654701082786 Henry Cohn, 2026, needs more optimization.
8 529 0.655015882466 Henry Cohn, 2026, needs more optimization.
8 530 0.655233744888 Henry Cohn, 2026, needs more optimization.
8 531 0.655714073533 Henry Cohn, 2026, needs more optimization.
8 532 0.655742301100 Henry Cohn, 2026, needs more optimization.
8 533 0.655938254621 Henry Cohn, 2026, needs more optimization.
8 534 0.656154687063 Henry Cohn, 2026, needs more optimization.
8 535 0.656435278272 Henry Cohn, 2026, needs more optimization.
8 536 0.656701576376 Henry Cohn, 2026, needs more optimization.
8 537 0.656911358972 Henry Cohn, 2026, needs more optimization.
8 538 0.657092623998 Henry Cohn, 2026, needs more optimization.
8 539 0.657506012434 Henry Cohn, 2026, needs more optimization.
8 540 0.657684960543 Henry Cohn, 2026, needs more optimization.
8 541 0.657784678058 Henry Cohn, 2026, needs more optimization.
8 542 0.658020235154 Henry Cohn, 2026, needs more optimization.
8 543 0.658309448931 Henry Cohn, 2026, needs more optimization.
8 544 0.658635163514 Henry Cohn, 2026, needs more optimization.
8 545 0.658859591810 Henry Cohn, 2026, needs more optimization.
8 546 0.658996829412 Henry Cohn, 2026, needs more optimization.
8 547 0.659327440341 Henry Cohn, 2026, needs more optimization.
8 548 0.659529842289 Henry Cohn, 2026, needs more optimization.
8 549 0.659609993989 Henry Cohn, 2026, needs more optimization.
8 550 0.659624504051 Henry Cohn, 2026, needs more optimization.
8 551 0.659962365185 Henry Cohn, 2026, needs more optimization.
8 552 0.660487227154 Henry Cohn, 2026, needs more optimization.
8 553 0.660618455158 Henry Cohn, 2026, needs more optimization.
8 554 0.660756576798 Henry Cohn, 2026, needs more optimization.
8 555 0.660856491782 Henry Cohn, 2026, needs more optimization.
8 556 0.661108519850 Henry Cohn, 2026, needs more optimization.
8 557 0.661254451904 Henry Cohn, 2026, needs more optimization.
8 558 0.661399357262 Henry Cohn, 2026, needs more optimization.
8 564 0.661624473643 Henry Cohn, 2026, needs more optimization.
8 566 0.662027730469 Henry Cohn, 2026, needs more optimization.
8 567 0.662781432072 Henry Cohn, 2026, needs more optimization.
8 568 0.662910172969 Henry Cohn, 2026, needs more optimization.
8 569 0.663082096032 Henry Cohn, 2026, needs more optimization.
8 570 0.663125176540 Henry Cohn, 2026, needs more optimization.
8 572 0.663127695268 Henry Cohn, 2026, needs more optimization.
8 581 0.663502104692 Henry Cohn, 2026, needs more optimization.
8 585 0.664072646706 Henry Cohn, 2026, needs more optimization.
8 588 0.664422022559 Henry Cohn, 2026, needs more optimization.
8 595 0.665067486057 Henry Cohn, 2026, needs more optimization.
8 596 0.665279539864 Henry Cohn, 2026, needs more optimization.
8 597 0.665287252990 Henry Cohn, 2026, needs more optimization.
8 598 0.665313648907 Henry Cohn, 2026, needs more optimization.
8 605 0.665316650814 Henry Cohn, 2026, needs more optimization.
8 606 0.665449799429 Henry Cohn, 2026, needs more optimization.
8 607 0.665529022366 Henry Cohn, 2026, needs more optimization.
8 615 0.665534709540 Henry Cohn, 2026, needs more optimization.
8 616 0.665719339810 Henry Cohn, 2026, needs more optimization.
8 617 0.665728215147 Henry Cohn, 2026, needs more optimization.
8 618 0.665749433251 Henry Cohn, 2026, needs more optimization.
8 628 0.665789122489 Henry Cohn, 2026, needs more optimization.
8 633 0.665856200927 Henry Cohn, 2026, needs more optimization.
8 634 0.666098655594 Henry Cohn, 2026, needs more optimization.
8 643 0.666123639269 Henry Cohn, 2026, needs more optimization.
8 653 0.666232226549 Henry Cohn, 2026, needs more optimization.
8 654 0.666268018038 Henry Cohn, 2026, needs more optimization.
8 658 0.666526636300 Henry Cohn, 2026, needs more optimization.
8 659 0.666593475465 Henry Cohn, 2026, needs more optimization.
8 660 0.666731593139 Henry Cohn, 2026, needs more optimization.
8 662 0.666995755868 Henry Cohn, 2026, needs more optimization.
8 663 0.668188697008 Henry Cohn, 2026, needs more optimization.
8 665 0.668298374587 Henry Cohn, 2026, needs more optimization.
8 666 0.668684529643 Henry Cohn, 2026, needs more optimization.
8 667 0.668688518324 Henry Cohn, 2026, needs more optimization.
8 668 0.668755834514 Henry Cohn, 2026, needs more optimization.
8 669 0.668759165715 Henry Cohn, 2026, needs more optimization.
8 670 0.669027290448 Henry Cohn, 2026, needs more optimization.
8 671 0.669707328373 Henry Cohn, 2026, needs more optimization.
8 672 0.669883106439 Henry Cohn, 2026, needs more optimization.
8 673 0.670144840919 Henry Cohn, 2026, needs more optimization.
8 674 0.670495536885 Henry Cohn, 2026, needs more optimization.
8 675 0.670784211304 Henry Cohn, 2026, needs more optimization.
8 676 0.671123438848 Henry Cohn, 2026, needs more optimization.
8 677 0.671547542790 Henry Cohn, 2026, needs more optimization.
8 678 0.671759169560 Henry Cohn, 2026, needs more optimization.
8 679 0.673147064908 Henry Cohn, 2026, needs more optimization.
8 680 0.673409109513 Henry Cohn, 2026, needs more optimization.
8 681 0.673440546325 Henry Cohn, 2026, needs more optimization.
8 682 0.673479098488 Henry Cohn, 2026, needs more optimization.
8 683 0.673482580107 Henry Cohn, 2026, needs more optimization.
8 684 0.673537405874 Henry Cohn, 2026, needs more optimization.
8 685 0.674072095775 Henry Cohn, 2026, needs more optimization.
8 686 0.674211882521 Pavlos Moros, 2026.
8 687 0.674549650974 Henry Cohn, 2026, needs more optimization.
8 688 0.674937751827 Henry Cohn, 2026, needs more optimization.
8 689 0.675169311019 Henry Cohn, 2026, needs more optimization.
8 690 0.675521783777 Henry Cohn, 2026, needs more optimization.
8 691 0.676025860001 Henry Cohn, 2026, needs more optimization.
8 692 0.676435277912 Henry Cohn, 2026, needs more optimization.
8 693 0.676907654724 Henry Cohn, 2026, needs more optimization.
8 694 0.677237538098 Henry Cohn, 2026, needs more optimization.
8 695 0.677449085981 Henry Cohn, 2026, needs more optimization.
8 696 0.677680973127 Henry Cohn, 2026, needs more optimization.
8 697 0.677809439781 Henry Cohn, 2026, needs more optimization.
8 698 0.678216297421 Henry Cohn, 2026, needs more optimization.
8 699 0.678432864718 Henry Cohn, 2026, needs more optimization.
8 700 0.678434728539 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 701 0.678815892496 Henry Cohn, 2026, needs more optimization.
8 702 0.678823804095 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 703 0.679313455048 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 704 0.679805364797 Henry Cohn, 2026, needs more optimization.
8 705 0.679807907969 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 707 0.680366083300 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 708 0.680602276243 Henry Cohn, 2026, needs more optimization.
8 709 0.680917463221 Henry Cohn, 2026, needs more optimization.
8 710 0.681398629952 Henry Cohn, 2026, needs more optimization.
8 711 0.681569225362 Henry Cohn, 2026, needs more optimization.
8 712 0.681660793992 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 713 0.682062282801 Henry Cohn, 2026, needs more optimization.
8 714 0.682308396600 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 716 0.682402777663 Henry Cohn, 2026, needs more optimization.
8 717 0.682652801499 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 718 0.682923290349 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 719 0.683535510777 Henry Cohn, 2026, needs more optimization.
8 720 0.683856452104 Henry Cohn, 2026, needs more optimization.
8 721 0.683933583005 Henry Cohn, 2026, needs more optimization.
8 722 0.684082110366 Henry Cohn, 2026, needs more optimization.
8 723 0.684265710874 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 725 0.684507090204 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 726 0.685032266136 Henry Cohn, 2026, needs more optimization.
8 727 0.685415889423 Henry Cohn, 2026, needs more optimization.
8 728 0.685493337864 Henry Cohn, 2026, needs more optimization.
8 729 0.685548156018 Henry Cohn, 2026, needs more optimization.
8 730 0.686121973557 Henry Cohn, 2026, needs more optimization.
8 731 0.686237762631 Henry Cohn, 2026, needs more optimization.
8 734 0.686251358405 Henry Cohn, 2026, needs more optimization.
8 735 0.686572783975 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 736 0.687497453698 Henry Cohn, 2026, needs more optimization.
8 737 0.687549995680 Henry Cohn, 2026, needs more optimization.
8 738 0.687682942121 Henry Cohn, 2026, needs more optimization.
8 739 0.687766571746 Henry Cohn, 2026, needs more optimization.
8 740 0.687920493189 Henry Cohn, 2026, needs more optimization.
8 741 0.688123194243 Henry Cohn, 2026, needs more optimization.
8 742 0.688248174638 Henry Cohn, 2026, needs more optimization.
8 743 0.688475445215 Henry Cohn, 2026, needs more optimization.
8 744 0.688503159148 Henry Cohn, 2026, needs more optimization.
8 745 0.688524925524 Henry Cohn, 2026, needs more optimization.
8 746 0.688878952183 Henry Cohn, 2026, needs more optimization.
8 747 0.688930420204 Henry Cohn, 2026, needs more optimization.
8 750 0.688950988790 Henry Cohn, 2026, needs more optimization.
8 751 0.689459370570 Henry Cohn, 2026, needs more optimization.
8 756 0.689647124411 Henry Cohn, 2026, needs more optimization.
8 761 0.689875751650 Henry Cohn, 2026, needs more optimization.
8 762 0.690158065286 Henry Cohn, 2026, needs more optimization.
8 763 0.690166999293 Henry Cohn, 2026, needs more optimization.
8 764 0.690503127510 Henry Cohn, 2026, needs more optimization.
8 765 0.690992289542 Henry Cohn, 2026, needs more optimization.
8 766 0.691020049253 Henry Cohn, 2026, needs more optimization.
8 767 0.691104497139 Henry Cohn, 2026, needs more optimization.
8 770 0.691262927242 Henry Cohn, 2026, needs more optimization.
8 775 0.691523103031 Henry Cohn, 2026, needs more optimization.
8 776 0.691755238531 Henry Cohn, 2026, needs more optimization.
8 777 0.692355430511 Henry Cohn, 2026, needs more optimization.
8 778 0.692449416948 Henry Cohn, 2026, needs more optimization.
8 779 0.692454589130 Henry Cohn, 2026, needs more optimization.
8 783 0.692476136102 Henry Cohn, 2026, needs more optimization.
8 784 0.692778402861 Henry Cohn, 2026, needs more optimization.
8 787 0.693042615698 Henry Cohn, 2026, needs more optimization.
8 791 0.693597989397 Henry Cohn, 2026, needs more optimization.
8 792 0.694200614720 Henry Cohn, 2026, needs more optimization.
8 798 0.694327061728 Henry Cohn, 2026, needs more optimization.
8 799 0.694685772919 Henry Cohn, 2026, needs more optimization.
8 800 0.695059851361 Henry Cohn, 2026, needs more optimization.
8 801 0.695303613734 Henry Cohn, 2026, needs more optimization.
8 804 0.695500294359 Henry Cohn, 2026, needs more optimization.
8 810 0.696058496564 Henry Cohn, 2026, needs more optimization.
8 812 0.696305080525 Henry Cohn, 2026, needs more optimization.
8 813 0.696811439367 Henry Cohn, 2026, needs more optimization.
8 815 0.697115437548 Henry Cohn, 2026, needs more optimization.
8 820 0.697379779574 Henry Cohn, 2026, needs more optimization.
8 821 0.697663192794 Henry Cohn, 2026, needs more optimization.
8 828 0.697845217572 Henry Cohn, 2026, needs more optimization.
8 829 0.698601300306 Henry Cohn, 2026, needs more optimization.
8 832 0.698640733368 Henry Cohn, 2026, needs more optimization.
8 834 0.698864361409 Henry Cohn, 2026, needs more optimization.
8 835 0.698865018259 Henry Cohn, 2026, needs more optimization.
8 837 0.699335745451 Henry Cohn, 2026, needs more optimization.
8 838 0.699611119921 Henry Cohn, 2026, needs more optimization.
8 839 0.699629597362 Henry Cohn, 2026, needs more optimization.
8 840 0.699984847968 Henry Cohn, 2026, needs more optimization.
8 846 0.700271444181 Henry Cohn, 2026, needs more optimization.
8 847 0.700533692991 Henry Cohn, 2026, needs more optimization.
8 848 0.700538858957 Henry Cohn, 2026, needs more optimization.
8 850 0.700623750483 Henry Cohn, 2026, needs more optimization.
8 852 0.701043776136 Henry Cohn, 2026, needs more optimization.
8 853 0.701510156144 Henry Cohn, 2026, needs more optimization.
8 854 0.701521715219 Henry Cohn, 2026, needs more optimization.
8 863 0.701835692930 Henry Cohn, 2026, needs more optimization.
8 868 0.702096645498 Henry Cohn, 2026, needs more optimization.
8 870 0.702304568199 Henry Cohn, 2026, needs more optimization.
8 871 0.702324388007 Henry Cohn, 2026, needs more optimization.
8 872 0.702494754721 Henry Cohn, 2026, needs more optimization.
8 873 0.702552506939 Henry Cohn, 2026, needs more optimization.
8 876 0.703587135951 Henry Cohn, 2026, needs more optimization.
8 877 0.703936810414 Henry Cohn, 2026, needs more optimization.
8 882 0.704292658706 Henry Cohn, 2026, needs more optimization.
8 885 0.704472228316 Henry Cohn, 2026, needs more optimization.
8 889 0.704962850034 Henry Cohn, 2026, needs more optimization.
8 890 0.705019042290 Henry Cohn, 2026, needs more optimization.
8 892 0.705308844125 Henry Cohn, 2026, needs more optimization.
8 902 0.705573235391 Henry Cohn, 2026, needs more optimization.
8 903 0.705686068562 Henry Cohn, 2026, needs more optimization.
8 904 0.705719362217 Henry Cohn, 2026, needs more optimization.
8 905 0.705770557291 Henry Cohn, 2026, needs more optimization.
8 906 0.706031649658 Henry Cohn, 2026, needs more optimization.
8 907 0.706398672742 Henry Cohn, 2026, needs more optimization.
8 908 0.706399160413 Henry Cohn, 2026, needs more optimization.
8 910 0.706402410019 Henry Cohn, 2026, needs more optimization.
8 911 0.706420420153 Henry Cohn, 2026, needs more optimization.
8 912 0.706436462652 Henry Cohn, 2026, needs more optimization.
8 913 0.706456347988 Henry Cohn, 2026, needs more optimization.
8 914 0.706504003526 Henry Cohn, 2026, needs more optimization.
8 915 0.706832741219 Henry Cohn, 2026, needs more optimization.
8 916 0.706855603890 Henry Cohn, 2026, needs more optimization.
8 917 0.706863355061 Henry Cohn, 2026, needs more optimization.
8 922 0.707006553758 Pavlos Moros, 2026.
8 924 0.707409187207 Henry Cohn, 2026, needs more optimization.
8 925 0.707530223740 Henry Cohn, 2026, needs more optimization.
8 926 0.707565092518 Henry Cohn, 2026, needs more optimization.
8 927 0.707633657473 Henry Cohn, 2026, needs more optimization.
8 931 0.707831422651 Henry Cohn, 2026, needs more optimization.
8 932 0.708006679769 Henry Cohn, 2026, needs more optimization.
8 933 0.708010964720 Henry Cohn, 2026, needs more optimization.
8 934 0.708023582065 Henry Cohn, 2026, needs more optimization.
8 935 0.708304065529 Henry Cohn, 2026, needs more optimization.
8 936 0.708304704682 Henry Cohn, 2026, needs more optimization.
8 937 0.708307643750 Henry Cohn, 2026, needs more optimization.
8 938 0.708312066543 Henry Cohn, 2026, needs more optimization.
8 940 0.708739054237 Henry Cohn, 2026, needs more optimization.
8 942 0.708889999037 Henry Cohn, 2026, needs more optimization.
8 944 0.708919330714 Henry Cohn, 2026, needs more optimization.
8 945 0.709014749605 Henry Cohn, 2026, needs more optimization.
8 947 0.709111888551 Henry Cohn, 2026, needs more optimization.
8 949 0.709458464215 Henry Cohn, 2026, needs more optimization.
8 951 0.709490524027 Robert Dallara, 2026.
8 952 0.709504872878 Henry Cohn, 2026, needs more optimization.
8 953 0.709508786795 Henry Cohn, 2026, needs more optimization.
8 954 0.709512837866 Henry Cohn, 2026, needs more optimization.
8 958 0.709844065563 Henry Cohn, 2026, needs more optimization.
8 960 0.710146042346 Henry Cohn, 2026, needs more optimization.
8 961 0.710157930220 Henry Cohn, 2026, needs more optimization.
8 965 0.710479392604 Henry Cohn, 2026, needs more optimization.
8 970 0.710676544860 Henry Cohn, 2026, needs more optimization.
8 971 0.710974384152 Henry Cohn, 2026, needs more optimization.
8 972 0.711409955898 Henry Cohn, 2026, needs more optimization.
8 973 0.711409955927 Henry Cohn, 2026, needs more optimization.
8 977 0.711428923529 Henry Cohn, 2026, needs more optimization.
8 978 0.711466313176 Henry Cohn, 2026, needs more optimization.
8 983 0.711782846945 Henry Cohn, 2026, needs more optimization.
8 984 0.711949870111 Henry Cohn, 2026, needs more optimization.
8 988 0.712115745339 Henry Cohn, 2026, needs more optimization.
8 989 0.712552337964 Henry Cohn, 2026, needs more optimization.
8 998 0.712858667357 Henry Cohn, 2026, needs more optimization.
8 999 0.713095829311 Henry Cohn, 2026, needs more optimization.
8 1000 0.713098298075 Henry Cohn, 2026, needs more optimization.
8 1004 0.713112167587 Henry Cohn, 2026, needs more optimization.
8 1015 0.713246667018 Henry Cohn, 2026, needs more optimization.
8 1021 0.713469900245 Henry Cohn, 2026, needs more optimization.
8 1022 0.713870755769 Henry Cohn, 2026, needs more optimization.
8 1023 0.713876441043 Henry Cohn, 2026, needs more optimization.
8 1024 0.713972573114 Henry Cohn, 2026, needs more optimization.
9 19 0.079067151218 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
441⁢x3−81⁢x2−9⁢x+1
9 20 0.087067958322 H. Cohn, Small spherical and projective codes, data set, 2022, DSpace@MIT, https://hdl.handle.net/1721.1/142661.
63⁢x2+6⁢x−1
9 21 0.087067958322 H. Cohn, Small spherical and projective codes, data set, 2022, DSpace@MIT, https://hdl.handle.net/1721.1/142661.
63⁢x2+6⁢x−1
9 22 0.109015375240 H. Cohn, Small spherical and projective codes, data set, 2022, DSpace@MIT, https://hdl.handle.net/1721.1/142661.
662⁢x4+23⁢x3−67⁢x2−3⁢x+1
9 23 0.114272369686 H. Cohn, Small spherical and projective codes, data set, 2022, DSpace@MIT, https://hdl.handle.net/1721.1/142661.
Minimal polynomial listed in plain text data
9 24 0.127138702332 H. Cohn, Small spherical and projective codes, data set, 2022, DSpace@MIT, https://hdl.handle.net/1721.1/142661.
9 25 0.135451570712 H. Cohn, Small spherical and projective codes, data set, updated 2023, DSpace@MIT, https://hdl.handle.net/1721.1/142661.
9 26 0.146662063556 H. Cohn, Small spherical and projective codes, data set, 2022, DSpace@MIT, https://hdl.handle.net/1721.1/142661.
9 27 0.149913487586 H. Cohn, Small spherical and projective codes, data set, updated 2025, DSpace@MIT, https://hdl.handle.net/1721.1/142661.
9 28 0.150185176423 H. Cohn, Small spherical and projective codes, data set, updated 2024, DSpace@MIT, https://hdl.handle.net/1721.1/142661.
9 29 0.150221104823 H. Cohn, Small spherical and projective codes, data set, 2022, DSpace@MIT, https://hdl.handle.net/1721.1/142661.
31⁢x2+2⁢x−1
9 30 0.150221104823 H. Cohn, Small spherical and projective codes, data set, 2022, DSpace@MIT, https://hdl.handle.net/1721.1/142661.
31⁢x2+2⁢x−1
9 31 0.150221104823 H. Cohn, Small spherical and projective codes, data set, 2022, DSpace@MIT, https://hdl.handle.net/1721.1/142661.
31⁢x2+2⁢x−1
9 32 0.150221104823 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
31⁢x2+2⁢x−1
9 33 0.180525091271 Henry Cohn, 2023.
9 34 0.183408724272 Henry Cohn, 2023.
9 35 0.195176120873 Henry Cohn, 2024.
9 36 0.199856614456 Valentin Khrulkov, 2026, using the program of A. Kravatsky, V. Khrulkov, and I. Oseledets, ImprovEvolve: basin-hopping meets LLM-guided evolutionary search, ICML 2026 AI4Math Workshop Poster, https://openreview.net/forum?id=nE1q0gRDNr, arXiv:2602.10233.
9 37 0.213781170696 Henry Cohn, 2025.
9 38 0.216954638443 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
Minimal polynomial listed in plain text data
9 39 0.222837046412 Henry Cohn, 2023.
9 40 0.225659998291 Henry Cohn, 2025.
9 42 0.226907255686 Henry Cohn, 2025.
190336⁢x6+377632⁢x5−322153⁢x4−82188⁢x3+48762⁢x2−972⁢x−729
9 43 0.231201190091 Henry Cohn, 2023.
9 44 0.233554527157 Henry Cohn, 2025.
Minimal polynomial listed in plain text data
9 45 0.238126842799 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
9 47 0.238172399483 Henry Cohn, 2023.
335⁢x2−42⁢x−9
9 48 0.254741665820 Henry Cohn, 2025.
9 50 0.256477368938 Henry Cohn, 2026.
23⁢x2−2⁢x−1
9 51 0.266033138128 Henry Cohn, 2026.
9 52 0.267191024627 Henry Cohn, 2023.
71⁢x2−4⁢x−4
9 53 0.269834758170 Henry Cohn, 2023.
Minimal polynomial listed in plain text data
9 54 0.271671378177 Henry Cohn, 2025.
9 56 0.272133267170 Henry Cohn, 2025.
Minimal polynomial listed in plain text data
9 57 0.282916244589 Henry Cohn, 2026.
9 58 0.288070633971 Henry Cohn, 2026.
9 59 0.293417195891 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 60 0.294882506582 Henry Cohn, 2026.
9 61 0.297699008547 Henry Cohn, 2026.
9 62 0.299403415604 Henry Cohn, 2026.
9 63 0.302685227391 Henry Cohn, 2025.
9 64 0.306653313780 Henry Cohn, 2023.
9 65 0.310452472771 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 66 0.312985380433 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 67 0.317743893678 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
9 68 0.320455129188 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 69 0.323069726165 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 70 0.327165573837 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 71 0.328557229113 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 75 0.328681603186 Luke Granto, 2026.
9 76 0.329081744755 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 77 0.329568177750 Henry Cohn, 2026.
9 78 0.330101895521 Henry Cohn, 2025.
9 79 0.330918543665 Henry Cohn, 2024.
9 80 0.332702480388 Henry Cohn, 2026, needs more optimization.
9 96 0.333333333334 T. Ericson and V. Zinoviev, Spherical codes generated by binary partitions of symmetric pointsets, IEEE Trans. Inform. Theory 41 (1995), 107–129, doi:10.1109/18.370114.
3⁢x−1
9 97 0.370544871674 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 98 0.372095090703 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 101 0.375074698542 Henry Cohn, 2025.
3191⁢x4+68⁢x3−350⁢x2−44⁢x−1
9 102 0.378388662601 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
9 103 0.378848187681 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
9 104 0.378871017908 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 105 0.391186576796 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
9 106 0.394927888776 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
9 107 0.397603950591 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
9 108 0.398682392141 Arhan Canli, 2026.
9 109 0.401754598812 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
9 110 0.404779227936 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
9 111 0.405584207795 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 112 0.407568931890 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 113 0.410168242726 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 114 0.410941379532 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 115 0.411000665544 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 116 0.411486873334 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 117 0.411611608244 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 118 0.412636571764 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 119 0.413789580597 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 120 0.415205142822 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 121 0.416594609435 Arhan Canli, 2026.
9 122 0.417512612802 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 123 0.418356132922 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 124 0.419394362646 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 126 0.419821271705 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11⁢x2−7⁢x+1
9 127 0.419965080683 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
9 128 0.421421412796 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
9 129 0.422312266938 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
9 130 0.422315460779 Henry Cohn, 2026.
9 131 0.422454584548 Henry Cohn, 2026, needs more optimization.
9 132 0.425863091407 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 133 0.426740694185 Robert Dallara, 2026.
9 134 0.427514427929 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 135 0.428457405987 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 146 0.428571428572 M. Ganzhinov and P. R. J. Östergård, Spherical codes with prescribed signed permutation automorphisms inside shells of low-dimensional integer lattices, IEEE Trans. Inform. Theory 70 (2024), 8669–8674, doi:10.1109/tit.2024.3462593, arXiv:2403.04330.
7⁢x−3
9 147 0.436766252768 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 148 0.439438775626 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 149 0.441272620201 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 166 0.444444444445 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9⁢x−4
9 167 0.452975381107 Arhan Canli, 2026.
9 168 0.453507863161 Arhan Canli, 2026.
9 172 0.454545454546 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11⁢x−5
9 173 0.454589124395 Arhan Canli, 2026.
9 174 0.455060433172 Arhan Canli, 2026.
9 175 0.459062585317 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
9 176 0.461182771681 Arhan Canli, 2026.
9 177 0.461445028075 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
9 178 0.462004713312 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
9 179 0.462011320848 Arhan Canli, 2026.
9 180 0.462343519334 Arhan Canli, 2026.
9 181 0.462491350081 Arhan Canli, 2026.
9 182 0.462563660356 Henry Cohn, 2026, needs more optimization.
9 183 0.462573710456 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
9 184 0.464694263290 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
9 185 0.467101682559 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
9 186 0.469750463226 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
9 187 0.471163913396 Arhan Canli, 2026.
9 188 0.471569139874 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
9 189 0.473571646834 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
9 210 0.475156558223 Henry Cohn, 2026.
103⁢x2−30⁢x−9
9 211 0.478969377503 Arhan Canli, 2026.
9 212 0.481291612542 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
9 213 0.483346952707 Arhan Canli, 2026.
9 214 0.484868516662 Arhan Canli, 2026.
9 215 0.485362507721 Arhan Canli, 2026.
9 216 0.485914600704 Arhan Canli, 2026.
9 217 0.486662821528 Arhan Canli, 2026.
9 218 0.487631001688 Arhan Canli, 2026.
9 219 0.490589373508 Arhan Canli, 2026.
9 220 0.492383125495 Henry Cohn, 2026, needs more optimization.
9 221 0.493085572634 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
9 222 0.494561612913 Arhan Canli, 2026.
9 223 0.495929817227 Henry Cohn, 2026, needs more optimization.
9 224 0.496609274781 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 225 0.496768186005 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 226 0.497248609751 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 227 0.497329907714 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 228 0.497668059493 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 229 0.497822050259 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 230 0.497884306494 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 231 0.498030322873 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 232 0.498190384169 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 233 0.498493759279 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 234 0.498547983778 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 235 0.498866488005 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 236 0.498935409826 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 237 0.499000324016 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 238 0.499094909724 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 239 0.499157479241 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 240 0.499281280424 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 241 0.499390148971 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 242 0.499396537472 Henry Cohn, 2026, needs more optimization.
9 243 0.499530108333 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 244 0.499566262894 Henry Cohn, 2026, needs more optimization.
9 245 0.499688902150 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 246 0.499742620019 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
9 247 0.499777637952 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 248 0.499798413234 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 249 0.499826016730 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 250 0.499892509880 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 251 0.499899082992 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 252 0.499901611940 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 253 0.499922723941 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 255 0.499934526076 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 256 0.499938045367 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 257 0.499938213322 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 258 0.499947959597 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 259 0.499970693213 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 260 0.499975558808 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 262 0.499979964742 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 263 0.499982046131 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 265 0.499984234546 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 266 0.499988751859 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 267 0.499990321255 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 268 0.499991646816 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 269 0.499992141918 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 270 0.499992265213 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 271 0.499992413282 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 272 0.499992538484 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 274 0.499994077513 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 275 0.499998619132 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 276 0.499998638848 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 277 0.499999276410 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 278 0.499999999944 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 279 0.499999999945 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 306 0.5 J. Leech and N. J. A. Sloane, Sphere packings and error-correcting codes, Canadian J. Math. 23 (1971), 718–745, doi:10.4153/CJM-1971-081-3; H. Cohn and I. Rajagopal, Variations on five-dimensional sphere packings, preprint, 2024, arXiv:2412.00937.
2⁢x−1
9 307 0.516999742838 Arhan Canli, 2026.
9 308 0.518883500173 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
9 309 0.520113189100 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 310 0.520131186110 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 311 0.521061165935 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 312 0.521138622793 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 313 0.521619718471 Arhan Canli, 2026.
9 314 0.522364306071 Henry Cohn, 2026, needs more optimization.
9 315 0.522936969509 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 330 0.523809523810 Henry Cohn and Ilmari Vahteristo (independently), 2026.
21⁢x−11
9 331 0.528370945601 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 332 0.529992384264 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 333 0.532251422791 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 334 0.534212123154 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 335 0.535442302756 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 336 0.536065841701 Arhan Canli, 2026.
9 337 0.536096812266 Arhan Canli, 2026.
9 338 0.536427917149 Arhan Canli, 2026.
9 339 0.536746289245 Arhan Canli, 2026.
9 341 0.536991576972 Henry Cohn, 2026, needs more optimization.
9 342 0.538484723639 Arhan Canli, 2026.
9 343 0.538568169262 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
9 345 0.539966518172 Henry Cohn, 2026, needs more optimization.
9 346 0.541054330851 Henry Cohn, 2026, needs more optimization.
9 347 0.541586496316 Henry Cohn, 2026, needs more optimization.
9 348 0.541906693507 Henry Cohn, 2026, needs more optimization.
9 351 0.542583653377 Arhan Canli, 2026.
9 353 0.542635874331 Arhan Canli, 2026.
9 357 0.543738838841 Arhan Canli, 2026.
9 358 0.544816037837 Arhan Canli, 2026.
9 363 0.545150372218 Arhan Canli, 2026.
9 364 0.546403194967 Arhan Canli, 2026.
9 482 0.546918160679 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
7⁢x2−2⁢x−1
9 483 0.555131084750 Henry Cohn, 2026, needs more optimization.
9 484 0.556740601171 Henry Cohn, 2026, needs more optimization.
9 485 0.562156178178 Henry Cohn, 2026, needs more optimization.
9 486 0.565393413128 Henry Cohn, 2026, needs more optimization.
9 487 0.568198408548 Henry Cohn, 2026, needs more optimization.
9 488 0.569243533750 Henry Cohn, 2026, needs more optimization.
9 489 0.570780541235 Henry Cohn, 2026, needs more optimization.
9 490 0.572421331422 Henry Cohn, 2026, needs more optimization.
9 491 0.574074459802 Henry Cohn, 2026, needs more optimization.
9 492 0.574927707237 Henry Cohn, 2026, needs more optimization.
9 493 0.576320739355 Henry Cohn, 2026, needs more optimization.
9 494 0.577624987293 Henry Cohn, 2026, needs more optimization.
9 495 0.578745939833 Henry Cohn, 2026, needs more optimization.
9 496 0.580065448211 Henry Cohn, 2026, needs more optimization.
9 497 0.580560991179 Henry Cohn, 2026, needs more optimization.
9 498 0.581666461658 Henry Cohn, 2026, needs more optimization.
9 499 0.582980133978 Henry Cohn, 2026, needs more optimization.
9 500 0.583853928558 Henry Cohn, 2026, needs more optimization.
9 501 0.584636059804 Henry Cohn, 2026, needs more optimization.
9 502 0.585601066825 Henry Cohn, 2026, needs more optimization.
9 503 0.585791710340 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 504 0.585794473247 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 505 0.585809731255 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 506 0.585831045016 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 507 0.585836845057 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 508 0.585846360172 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 509 0.585871704212 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 510 0.585873725647 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 511 0.585879120023 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 512 0.585890273696 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 513 0.585903442309 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 514 0.585910086578 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 515 0.585912707852 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 516 0.585915569474 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 517 0.585915629883 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 518 0.585917737662 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 519 0.585952208146 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 520 0.585952996988 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 521 0.585953783311 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 522 0.585955555903 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 523 0.585956608129 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 524 0.586383836962 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 525 0.586386258875 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 526 0.586386483527 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 527 0.586387419872 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 528 0.586391478800 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 529 0.586396034650 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 530 0.586651287786 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 536 0.587402811367 Henry Cohn, 2026, needs more optimization.
9 537 0.593752762902 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 538 0.594982127800 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 539 0.595253712823 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 540 0.595782813425 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 541 0.596344124440 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 542 0.596457244628 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 543 0.597052860380 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 610 0.6 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
5⁢x−3
9 612 0.6 M. Ganzhinov and P. R. J. Östergård, Spherical codes with prescribed signed permutation automorphisms inside shells of low-dimensional integer lattices, IEEE Trans. Inform. Theory 70 (2024), 8669–8674, doi:10.1109/tit.2024.3462593, arXiv:2403.04330.
5⁢x−3
9 613 0.605088326004 Henry Cohn, 2026, needs more optimization.
9 614 0.605557774124 Henry Cohn, 2026, needs more optimization.
9 615 0.606407290506 Henry Cohn, 2026, needs more optimization.
9 616 0.606758829135 Henry Cohn, 2026, needs more optimization.
9 617 0.607973711035 Henry Cohn, 2026, needs more optimization.
9 618 0.608313054857 Henry Cohn, 2026, needs more optimization.
9 620 0.608390967120 Henry Cohn, 2026, needs more optimization.
9 621 0.609852005655 Henry Cohn, 2026, needs more optimization.
9 622 0.610066249247 Henry Cohn, 2026, needs more optimization.
9 625 0.610852194048 Henry Cohn, 2026, needs more optimization.
9 626 0.611382731658 Henry Cohn, 2026, needs more optimization.
9 627 0.611478239852 Henry Cohn, 2026, needs more optimization.
9 628 0.611928151181 Henry Cohn, 2026, needs more optimization.
9 630 0.612010206527 Henry Cohn, 2026, needs more optimization.
9 632 0.612504172954 Henry Cohn, 2026, needs more optimization.
9 633 0.613222528369 Henry Cohn, 2026, needs more optimization.
9 634 0.613438835779 Henry Cohn, 2026, needs more optimization.
9 638 0.613686150687 Henry Cohn, 2026, needs more optimization.
9 641 0.614090385504 Henry Cohn, 2026, needs more optimization.
9 644 0.614981785214 Henry Cohn, 2026, needs more optimization.
9 645 0.615867642056 Henry Cohn, 2026, needs more optimization.
9 649 0.616123510443 Henry Cohn, 2026, needs more optimization.
9 651 0.616647347555 Henry Cohn, 2026, needs more optimization.
9 722 0.618033988750 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
x2+x−1
9 723 0.624150366656 Henry Cohn, 2026, needs more optimization.
9 724 0.626611722790 Henry Cohn, 2026, needs more optimization.
9 725 0.627588184864 Henry Cohn, 2026, needs more optimization.
9 727 0.627823166829 Henry Cohn, 2026, needs more optimization.
9 734 0.630329044412 Henry Cohn, 2026, needs more optimization.
9 758 0.634512154001 Henry Cohn, 2026, needs more optimization.
9 762 0.634961060292 Henry Cohn, 2026, needs more optimization.
9 774 0.637241602214 Henry Cohn, 2026, needs more optimization.
9 775 0.637270027487 Henry Cohn, 2026, needs more optimization.
9 776 0.641909847099 Henry Cohn, 2026, needs more optimization.
9 818 0.642646958126 Henry Cohn, 2026, needs more optimization.
9 819 0.648633147374 Henry Cohn, 2026, needs more optimization.
9 820 0.649081377399 Pavlos Moros, 2026.
9 821 0.649265938790 Pavlos Moros, 2026.
9 822 0.649273482971 Pavlos Moros, 2026.
9 823 0.649369923689 Pavlos Moros, 2026.
9 824 0.649396167428 Pavlos Moros, 2026.
9 825 0.649415537707 Pavlos Moros, 2026.
9 887 0.649482138669 Henry Cohn, 2026, needs more optimization.
9 893 0.649716701117 Henry Cohn, 2026, needs more optimization.
9 895 0.649891164101 Robert Dallara, 2026.
9 896 0.649921134859 Robert Dallara, 2026.
9 897 0.661562289808 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 898 0.661568360058 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 899 0.661728563182 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 900 0.661743995751 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 901 0.661974040053 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 902 0.662004358975 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 903 0.662053385472 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 904 0.662183171626 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 905 0.662275543178 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 906 0.662391753063 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 907 0.662402323288 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 908 0.662583967344 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 909 0.662678023302 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 910 0.662793802367 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 911 0.662876070626 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 912 0.662925413517 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 913 0.663068852408 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 914 0.663188307929 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 915 0.663241591472 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 916 0.663369297068 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 917 0.663388419505 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 918 0.663512179338 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 919 0.663660999420 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9 962 0.663713900134 Kevin Li, 2026.
23⁢x6−6⁢x5+5⁢x4−4⁢x3−3⁢x2+2⁢x−1
9 1008 0.666666666667 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
3⁢x−2
9 1024 0.666666666667 Subcode of a code of size 1056 from M. Ganzhinov and P. R. J. Östergård, Spherical codes with prescribed signed permutation automorphisms inside shells of low-dimensional integer lattices, IEEE Trans. Inform. Theory 70 (2024), 8669–8674, doi:10.1109/tit.2024.3462593, arXiv:2403.04330.
3⁢x−2
10 21 0.072033139843 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
640⁢x3−100⁢x2−10⁢x+1
10 22 0.083956154719 H. Cohn, Small spherical and projective codes, data set, 2022, DSpace@MIT, https://hdl.handle.net/1721.1/142661.
10 23 0.086853938956 H. Cohn, Small spherical and projective codes, data set, updated 2024, DSpace@MIT, https://hdl.handle.net/1721.1/142661.
10 24 0.098710133500 H. Cohn, Small spherical and projective codes, data set, 2022, DSpace@MIT, https://hdl.handle.net/1721.1/142661.
613376⁢x8−228096⁢x7+40432⁢x6+16416⁢x5−8016⁢x4−216⁢x3+184⁢x2−1
10 25 0.104476374556 H. Cohn, Small spherical and projective codes, data set, 2022, DSpace@MIT, https://hdl.handle.net/1721.1/142661.
10 26 0.104477652124 H. Cohn, Small spherical and projective codes, data set, 2022, DSpace@MIT, https://hdl.handle.net/1721.1/142661.
10 27 0.124212414191 H. Cohn, Small spherical and projective codes, data set, 2022, DSpace@MIT, https://hdl.handle.net/1721.1/142661.
10 28 0.128238684469 H. Cohn, Small spherical and projective codes, data set, 2022, DSpace@MIT, https://hdl.handle.net/1721.1/142661.
92⁢x2−4⁢x−1
10 29 0.130624314467 H. Cohn, Small spherical and projective codes, data set, updated 2026, DSpace@MIT, https://hdl.handle.net/1721.1/142661.
144⁢x4+32⁢x3−4⁢x2−8⁢x+1
10 30 0.138418790027 H. Cohn, Small spherical and projective codes, data set, updated 2024, DSpace@MIT, https://hdl.handle.net/1721.1/142661.
10 31 0.144114939804 H. Cohn, Small spherical and projective codes, data set, 2022, DSpace@MIT, https://hdl.handle.net/1721.1/142661.
Minimal polynomial listed in plain text data
10 32 0.146959243017 H. Cohn, Small spherical and projective codes, data set, 2022, DSpace@MIT, https://hdl.handle.net/1721.1/142661.
279⁢x4−420⁢x3+102⁢x2−1
10 33 0.150071241046 Henry Cohn, 2025.
10 34 0.150182194868 Henry Cohn, 2026.
10 35 0.157397110567 Henry Cohn, 2025.
10 36 0.164041833761 Henry Cohn, 2023.
10 40 0.166666666667 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
6⁢x−1
10 41 0.176776695297 Henry Cohn, 2023.
32⁢x2−1
10 42 0.196163825125 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 43 0.205622503031 Henry Cohn, 2025.
10 44 0.209171113574 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 45 0.210466062581 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
10 46 0.210715021825 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
10 47 0.210852566011 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
10 50 0.210852996458 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
71⁢x2+4⁢x−4
10 51 0.216689708737 Henry Cohn, 2025.
10 52 0.230823073590 Henry Cohn, 2026.
10 57 0.231237647788 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
36⁢x2−4⁢x−1
10 58 0.25 Henry Cohn, 2024.
4⁢x−1
10 59 0.252499828074 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
40176⁢x6+4320⁢x5−10584⁢x4−168⁢x3+767⁢x2−8⁢x−16
10 60 0.252845078510 Henry Cohn, 2026.
10 61 0.255558009804 Henry Cohn, 2026.
10 62 0.257763357141 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
10 63 0.257944905339 Henry Cohn, 2025.
Minimal polynomial listed in plain text data
10 64 0.260533298510 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
10 65 0.264797426966 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
10 66 0.265168946762 Henry Cohn, 2025.
10 67 0.268064425530 Henry Cohn, 2025.
10 68 0.268886163790 Henry Cohn, 2026.
10 69 0.269687676191 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
10 70 0.271728058742 Henry Cohn, 2026.
10 71 0.271905044079 Henry Cohn, 2026.
10 72 0.274447908374 Henry Cohn, 2026.
10 73 0.275987133320 Henry Cohn, 2025.
10 74 0.279604372359 Henry Cohn, 2026, needs more optimization.
10 75 0.283455182208 Henry Cohn, 2026.
Minimal polynomial listed in plain text data
10 76 0.284096667917 Henry Cohn, 2025.
10 77 0.284910960402 Henry Cohn, 2025.
10 78 0.289669889853 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
10 79 0.295238257219 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
10 80 0.299102325650 Henry Cohn, 2026, needs more optimization.
10 81 0.301745610483 Henry Cohn, 2026.
10 82 0.304366085995 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
10 83 0.307848155525 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
10 84 0.310837057662 Henry Cohn, 2026, needs more optimization.
10 85 0.316993130432 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 86 0.317371501781 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 87 0.317758303957 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 88 0.322928074833 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 89 0.323143582443 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 90 0.323515340854 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 91 0.324783040520 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 92 0.325628340435 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 93 0.328299445300 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
10 95 0.328398383008 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
10 96 0.329803993465 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
10 97 0.330219765464 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
10 98 0.330420458580 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
10 99 0.330618940334 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 100 0.330883770108 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 101 0.331145415372 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
10 102 0.331363824782 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
10 103 0.333089994215 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 104 0.333109323347 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 105 0.333164117878 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 106 0.333185095821 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 107 0.333226936305 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 108 0.333278942047 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 109 0.335242068676 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 110 0.339290566040 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
10 111 0.342116121270 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 112 0.344747256732 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 113 0.347102526263 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
10 114 0.348279770876 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
10 115 0.352502539478 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 116 0.353505255245 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
10 117 0.358038919387 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 118 0.361453843843 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 119 0.363467862179 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 120 0.364351581372 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
10 121 0.364797944321 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
10 122 0.365271206835 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
10 125 0.365547986900 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
1137312⁢x6−3083304⁢x5+3410228⁢x4−1698606⁢x3+305901⁢x2+22356⁢x−9558
10 126 0.365547986900 Henry Cohn, 2026.
1137312⁢x6−3083304⁢x5+3410228⁢x4−1698606⁢x3+305901⁢x2+22356⁢x−9558
10 127 0.366035053027 Henry Cohn, 2024.
10 128 0.367843283143 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
10 129 0.370349178401 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
10 130 0.371141231264 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
10 131 0.371260106696 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
10 132 0.371406638620 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
10 133 0.384759603628 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
10 134 0.388521611865 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 135 0.389923825120 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 136 0.391831286660 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 137 0.393925651981 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 138 0.396582312027 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 139 0.398440955704 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 140 0.400200696401 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
10 141 0.401153671981 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 142 0.401755304314 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 147 0.403296885242 Arhan Canli, 2026.
10 148 0.403980035727 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 149 0.404080401541 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 150 0.404149055859 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 151 0.404211214386 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 154 0.404224395735 Arhan Canli, 2026.
10 155 0.404419022296 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 156 0.404442125005 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 157 0.404504736107 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 158 0.404539504388 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 159 0.404562373243 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 160 0.405129282742 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 161 0.405142663336 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 165 0.405355170877 Henry Cohn, 2026, needs more optimization.
10 166 0.407790976994 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 167 0.410295330456 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 168 0.410359484686 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 169 0.410362321797 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 170 0.410912822209 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 171 0.410926667116 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 172 0.411156170422 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 173 0.411395711997 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 174 0.411482374360 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
9216⁢x6−9216⁢x5−9216⁢x4+7296⁢x3−992⁢x2−32⁢x+1
10 175 0.411732471727 Henry Cohn, 2026, needs more optimization.
10 176 0.414247447987 Arhan Canli, 2026.
10 177 0.418783721270 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 178 0.421695081072 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 179 0.423834056466 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 180 0.424096235870 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 181 0.424299664193 Henry Cohn, 2026, needs more optimization.
10 182 0.424412920162 Arhan Canli, 2026.
10 183 0.424597189072 Arhan Canli, 2026.
10 184 0.425182971580 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
10 185 0.425401461524 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
10 186 0.425705217041 Arhan Canli, 2026.
10 187 0.426659806788 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
10 188 0.427258027790 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
10 189 0.427667824405 Arhan Canli, 2026.
10 194 0.428571428572 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
7⁢x−3
10 195 0.438240194592 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
10 201 0.440607509311 Arhan Canli, 2026.
10 205 0.441691380476 Henry Cohn, 2026, needs more optimization.
10 206 0.442859555399 Arhan Canli, 2026.
10 212 0.442859607642 Henry Cohn, 2026, needs more optimization.
10 213 0.443525529480 Henry Cohn, 2026, needs more optimization.
10 214 0.446204625791 Henry Cohn, 2026, needs more optimization.
10 215 0.447378526432 Henry Cohn, 2026, needs more optimization.
10 216 0.448008715271 Henry Cohn, 2026, needs more optimization.
10 217 0.450461676575 Henry Cohn, 2026, needs more optimization.
10 218 0.451824429981 Henry Cohn, 2026, needs more optimization.
10 219 0.452627923969 Henry Cohn, 2026, needs more optimization.
10 220 0.453149846799 Henry Cohn, 2026, needs more optimization.
10 221 0.453272145076 Henry Cohn, 2026, needs more optimization.
10 222 0.453449470480 Henry Cohn, 2026, needs more optimization.
10 223 0.453616797967 Henry Cohn, 2026, needs more optimization.
10 224 0.454217364857 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
10 225 0.454265416035 Henry Cohn, 2026, needs more optimization.
10 226 0.454436540699 Henry Cohn, 2026, needs more optimization.
10 227 0.454528906518 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
10 228 0.454608523067 Henry Cohn, 2026, needs more optimization.
10 229 0.454717762787 Henry Cohn, 2026, needs more optimization.
10 230 0.455108110984 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
10 231 0.455158488777 Arhan Canli, 2026.
10 232 0.455169651831 Arhan Canli, 2026.
10 233 0.455187922123 Arhan Canli, 2026.
10 240 0.455341801262 Henry Cohn, 2026.
18⁢x2−6⁢x−1
10 241 0.455994555542 Arhan Canli, 2026.
10 242 0.456033188746 Arhan Canli, 2026.
10 243 0.456199321909 Arhan Canli, 2026.
10 244 0.456237116296 Arhan Canli, 2026.
10 245 0.457611041456 Arhan Canli, 2026.
10 246 0.458678903302 Arhan Canli, 2026.
10 247 0.462278779175 Arhan Canli, 2026.
10 248 0.463975675380 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
10 249 0.464403384938 Arhan Canli, 2026.
10 250 0.464748440555 Arhan Canli, 2026.
10 251 0.465006188004 Arhan Canli, 2026.
10 252 0.465572151088 Arhan Canli, 2026.
10 253 0.466502343558 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
10 254 0.467420233695 Arhan Canli, 2026.
10 255 0.469041130341 Arhan Canli, 2026.
10 256 0.470263551579 Arhan Canli, 2026.
10 257 0.470978725563 Arhan Canli, 2026.
10 258 0.471924242108 Arhan Canli, 2026.
10 259 0.472978210706 Arhan Canli, 2026.
10 260 0.473951338211 Arhan Canli, 2026.
10 261 0.474789666113 Arhan Canli, 2026.
10 262 0.475657687881 Arhan Canli, 2026.
10 266 0.476191860759 Arhan Canli, 2026.
10 267 0.476400849282 Arhan Canli, 2026.
10 268 0.477441419405 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
10 269 0.477609300523 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
10 270 0.478461036703 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
10 271 0.478514497511 Arhan Canli, 2026.
10 272 0.478902736455 Arhan Canli, 2026.
10 273 0.479192858274 Arhan Canli, 2026.
10 274 0.479824795516 Arhan Canli, 2026.
10 275 0.480136212448 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
10 276 0.480881506576 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
10 277 0.481196210518 Arhan Canli, 2026.
10 278 0.481569617694 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
10 279 0.482052878455 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
10 280 0.482684021292 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
10 281 0.483118720243 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
10 282 0.483420609250 Arhan Canli, 2026.
10 284 0.483462539249 Arhan Canli, 2026.
10 285 0.483656983869 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
10 286 0.484117216451 Arhan Canli, 2026.
10 287 0.484350682189 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
10 288 0.484685640514 Arhan Canli, 2026.
10 289 0.484835654062 Arhan Canli, 2026.
10 290 0.484990704084 Arhan Canli, 2026.
10 291 0.485249918926 Arhan Canli, 2026.
10 292 0.485531970222 Arhan Canli, 2026.
10 293 0.485802778164 Arhan Canli, 2026.
10 294 0.486045631412 Arhan Canli, 2026.
10 295 0.486396562218 Arhan Canli, 2026.
10 296 0.486732162515 Arhan Canli, 2026.
10 297 0.486956640421 Arhan Canli, 2026.
10 298 0.487330711049 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
10 299 0.487466549441 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
10 300 0.487971815308 Arhan Canli, 2026.
10 301 0.489069833470 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
10 302 0.489291258472 Arhan Canli, 2026.
10 305 0.489528715141 Arhan Canli, 2026.
10 306 0.489792123234 Arhan Canli, 2026.
10 307 0.490245816957 Arhan Canli, 2026.
10 308 0.490276805801 Arhan Canli, 2026.
10 309 0.490369887244 Arhan Canli, 2026.
10 310 0.490636344361 Henry Cohn, 2026, needs more optimization.
10 311 0.490995828807 Henry Cohn, 2026, needs more optimization.
10 312 0.491044225405 Henry Cohn, 2026, needs more optimization.
10 313 0.491208396961 Henry Cohn, 2026, needs more optimization.
10 314 0.491264764427 Arhan Canli, 2026.
10 315 0.491433947127 Henry Cohn, 2026, needs more optimization.
10 316 0.491712524551 Arhan Canli, 2026.
10 317 0.491789121502 Henry Cohn, 2026, needs more optimization.
10 318 0.492026782924 Arhan Canli, 2026.
10 319 0.492083129698 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
10 320 0.492271149132 Arhan Canli, 2026.
10 321 0.492936229892 Arhan Canli, 2026.
10 322 0.492969782476 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
10 323 0.493077118979 Arhan Canli, 2026.
10 324 0.493304537278 Arhan Canli, 2026.
10 325 0.494112496966 Arhan Canli, 2026.
10 327 0.494165526776 Arhan Canli, 2026.
10 328 0.494304816118 Arhan Canli, 2026.
10 329 0.494912864069 Arhan Canli, 2026.
10 330 0.495037742382 Arhan Canli, 2026.
10 331 0.495263497004 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
10 332 0.495422050048 Arhan Canli, 2026.
10 333 0.495492436318 Arhan Canli, 2026.
10 334 0.495525839848 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
10 335 0.495562158764 Arhan Canli, 2026.
10 336 0.496113660488 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
10 337 0.496689420036 Arhan Canli, 2026.
10 338 0.496845977396 Arhan Canli, 2026.
10 339 0.496938999812 Arhan Canli, 2026.
10 340 0.496993818421 Arhan Canli, 2026.
10 343 0.497095826336 Arhan Canli, 2026.
10 344 0.497231392463 Arhan Canli, 2026.
10 345 0.497355992097 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
10 346 0.497714891470 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
10 347 0.497788475580 Arhan Canli, 2026.
10 348 0.497865737987 Arhan Canli, 2026.
10 349 0.497895907046 Arhan Canli, 2026.
10 350 0.497984556052 Arhan Canli, 2026.
10 351 0.498063391427 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
10 352 0.498251661661 Arhan Canli, 2026.
10 353 0.498262544986 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
10 354 0.498351690042 Henry Cohn, 2026, needs more optimization.
10 355 0.498396968403 Henry Cohn, 2026, needs more optimization.
10 356 0.498435033156 Henry Cohn, 2026, needs more optimization.
10 357 0.498496145533 Henry Cohn, 2026, needs more optimization.
10 358 0.498558075345 Henry Cohn, 2026, needs more optimization.
10 359 0.498598360623 Henry Cohn, 2026, needs more optimization.
10 360 0.498678536877 Henry Cohn, 2026, needs more optimization.
10 361 0.498846151628 Henry Cohn, 2026, needs more optimization.
10 362 0.498880432313 Henry Cohn, 2026, needs more optimization.
10 363 0.498914237147 Henry Cohn, 2026, needs more optimization.
10 364 0.498934569843 Henry Cohn, 2026, needs more optimization.
10 365 0.498945662051 Henry Cohn, 2026, needs more optimization.
10 366 0.498963782854 Henry Cohn, 2026, needs more optimization.
10 367 0.499011349349 Henry Cohn, 2026, needs more optimization.
10 368 0.499063463647 Henry Cohn, 2026, needs more optimization.
10 369 0.499111749027 Henry Cohn, 2026, needs more optimization.
10 370 0.499267083598 Henry Cohn, 2026, needs more optimization.
10 371 0.499336839200 Henry Cohn, 2026, needs more optimization.
10 372 0.499457013126 Henry Cohn, 2026, needs more optimization.
10 373 0.499485713460 Henry Cohn, 2026, needs more optimization.
10 374 0.499506630809 Henry Cohn, 2026, needs more optimization.
10 375 0.499558383183 Henry Cohn, 2026, needs more optimization.
10 376 0.499643518839 Henry Cohn, 2026, needs more optimization.
10 377 0.499725808634 Henry Cohn, 2026, needs more optimization.
10 378 0.499831967129 Henry Cohn, 2026, needs more optimization.
10 379 0.499863849733 Henry Cohn, 2026, needs more optimization.
10 380 0.499878538023 Henry Cohn, 2026, needs more optimization.
10 381 0.499911963215 Henry Cohn, 2026, needs more optimization.
10 382 0.499915943003 Henry Cohn, 2026, needs more optimization.
10 383 0.499924808134 Henry Cohn, 2026, needs more optimization.
10 384 0.499940699083 Henry Cohn, 2026, needs more optimization.
10 385 0.499951882870 Henry Cohn, 2026, needs more optimization.
10 386 0.499975476369 Henry Cohn, 2026, needs more optimization.
10 387 0.499979639609 Henry Cohn, 2026, needs more optimization.
10 500 0.5 J. Leech and N. J. A. Sloane, Sphere packings and error-correcting codes, Canadian J. Math. 23 (1971), 718–745, doi:10.4153/CJM-1971-081-3.
2⁢x−1
10 510 0.5 M. Ganzhinov, Highly symmetric lines, Linear Algebra Appl. 722 (2025), 12–37, doi:10.1016/j.laa.2025.05.002.
2⁢x−1
10 511 0.526390788653 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 512 0.529226751109 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 513 0.530791842239 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 514 0.532342169412 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 515 0.533873838507 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 516 0.535309707239 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 517 0.536566180419 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 518 0.538008600875 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 519 0.539314326209 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 520 0.540212519018 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 521 0.541110873643 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 522 0.541747519623 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 523 0.542893796886 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 524 0.543530156280 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 525 0.544404804597 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 526 0.545088071398 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 527 0.545811198686 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 528 0.546336417769 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 529 0.547268524813 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 530 0.547807074620 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 531 0.548352755990 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 532 0.548900249813 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 533 0.549455481946 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 534 0.550070144415 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 535 0.550553114220 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 536 0.551146534165 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 537 0.551469049981 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 538 0.552005402249 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 539 0.552091158183 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 540 0.552665940570 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 541 0.553040247497 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 542 0.553225083058 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 543 0.553671540834 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 544 0.553867027124 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 545 0.554442150335 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 546 0.554653922841 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 547 0.555339420427 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
10 596 0.555555555556 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
9⁢x−5
10 608 0.555555555556 Henry Cohn, 2026, by enlarging a code from T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
9⁢x−5
10 609 0.560762348955 Henry Cohn, 2026, needs more optimization.
10 610 0.560766928586 Henry Cohn, 2026, needs more optimization.
10 611 0.560774415462 Henry Cohn, 2026, needs more optimization.
10 614 0.560786743362 Henry Cohn, 2026, needs more optimization.
10 615 0.561396560537 Henry Cohn, 2026, needs more optimization.
10 616 0.562642726288 Henry Cohn, 2026, needs more optimization.
10 740 0.564577451054 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
92⁢x2−36⁢x−9
10 771 0.564577451054 Henry Cohn, 2026, by enlarging a code from T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
92⁢x2−36⁢x−9
10 772 0.567862174034 Henry Cohn, 2026, needs more optimization.
10 773 0.569690948114 Henry Cohn, 2026, needs more optimization.
10 774 0.570751343034 Henry Cohn, 2026, needs more optimization.
10 777 0.571020984195 Henry Cohn, 2026, needs more optimization.
10 778 0.572423087545 Henry Cohn, 2026, needs more optimization.
10 782 0.572572323646 Henry Cohn, 2026, needs more optimization.
10 783 0.573458246638 Henry Cohn, 2026, needs more optimization.
10 784 0.573540205377 Henry Cohn, 2026, needs more optimization.
10 785 0.573703946487 Henry Cohn, 2026, needs more optimization.
10 786 0.576353527013 Henry Cohn, 2026, needs more optimization.
10 787 0.576679935735 Henry Cohn, 2026, needs more optimization.
10 789 0.576878875469 Henry Cohn, 2026, needs more optimization.
10 790 0.577887402608 Henry Cohn, 2026, needs more optimization.
10 791 0.578161834051 Henry Cohn, 2026, needs more optimization.
10 793 0.578331448933 Henry Cohn, 2026, needs more optimization.
10 795 0.579386813973 Henry Cohn, 2026, needs more optimization.
10 796 0.580139418096 Henry Cohn, 2026, needs more optimization.
10 797 0.580536202434 Henry Cohn, 2026, needs more optimization.
10 798 0.580620049164 Henry Cohn, 2026, needs more optimization.
10 799 0.581819092751 Henry Cohn, 2026, needs more optimization.
10 800 0.581950401467 Henry Cohn, 2026, needs more optimization.
10 801 0.582157730737 Henry Cohn, 2026, needs more optimization.
10 802 0.583081659515 Henry Cohn, 2026, needs more optimization.
10 803 0.583363335826 Henry Cohn, 2026, needs more optimization.
10 804 0.583559647264 Henry Cohn, 2026, needs more optimization.
10 805 0.584224334051 Henry Cohn, 2026, needs more optimization.
10 808 0.584224933654 Henry Cohn, 2026, needs more optimization.
10 809 0.584762659210 Henry Cohn, 2026, needs more optimization.
10 810 0.585257853429 Henry Cohn, 2026, needs more optimization.
10 811 0.585300643403 Henry Cohn, 2026, needs more optimization.
10 812 0.585398591858 Henry Cohn, 2026, needs more optimization.
10 813 0.585459812602 Henry Cohn, 2026, needs more optimization.
10 814 0.585582490347 Henry Cohn, 2026, needs more optimization.
10 815 0.585648031689 Henry Cohn, 2026, needs more optimization.
10 816 0.585766117974 Henry Cohn, 2026, needs more optimization.
10 870 0.585786437627 Kevin Li, 2026.
x2−4⁢x+2
10 903 0.585786437627 Henry Cohn, 2026.
x2−4⁢x+2
10 906 0.587592892847 Henry Cohn, 2026, needs more optimization.
10 908 0.588036135222 Henry Cohn, 2026, needs more optimization.
10 909 0.589203206442 Henry Cohn, 2026, needs more optimization.
10 910 0.589269890552 Henry Cohn, 2026, needs more optimization.
10 911 0.589375196646 Henry Cohn, 2026, needs more optimization.
10 912 0.589537229372 Henry Cohn, 2026, needs more optimization.
10 916 0.589549263930 Henry Cohn, 2026, needs more optimization.
10 917 0.590201342714 Henry Cohn, 2026, needs more optimization.
10 918 0.590293259978 Henry Cohn, 2026, needs more optimization.
10 919 0.590373655503 Henry Cohn, 2026, needs more optimization.
10 920 0.590422901160 Henry Cohn, 2026, needs more optimization.
10 927 0.590504036033 Henry Cohn, 2026, needs more optimization.
10 928 0.591302471190 Henry Cohn, 2026, needs more optimization.
10 940 0.591390866178 Henry Cohn, 2026, needs more optimization.
10 945 0.591565966090 Henry Cohn, 2026, needs more optimization.
10 949 0.591860332011 Henry Cohn, 2026, needs more optimization.
10 950 0.594307594608 Henry Cohn, 2026, needs more optimization.
10 951 0.595381258053 Henry Cohn, 2026, needs more optimization.
10 952 0.595529918628 Henry Cohn, 2026, needs more optimization.
10 953 0.595859812654 Henry Cohn, 2026, needs more optimization.
10 954 0.596031510724 Henry Cohn, 2026, needs more optimization.
10 955 0.596426152558 Henry Cohn, 2026, needs more optimization.
10 968 0.598871257965 Kevin Li, 2026.
41⁢x4+12⁢x3−18⁢x2−4⁢x+1
10 1024 0.6 Subcode of a code of size 1190 from T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
5⁢x−3
11 23 0.066201272532 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
891⁢x3−121⁢x2−11⁢x+1
11 24 0.077294525867 H. Cohn, Small spherical and projective codes, data set, updated 2025, DSpace@MIT, https://hdl.handle.net/1721.1/142661.
Minimal polynomial listed in plain text data
11 25 0.083618757829 H. Cohn, Small spherical and projective codes, data set, updated 2023, DSpace@MIT, https://hdl.handle.net/1721.1/142661.
11 26 0.090957106782 H. Cohn, Small spherical and projective codes, data set, 2022, DSpace@MIT, https://hdl.handle.net/1721.1/142661.
11 27 0.096579767338 H. Cohn, Small spherical and projective codes, data set, 2022, DSpace@MIT, https://hdl.handle.net/1721.1/142661.
11 28 0.102062072616 H. Cohn, Small spherical and projective codes, data set, 2022, DSpace@MIT, https://hdl.handle.net/1721.1/142661.
96⁢x2−1
11 29 0.108541175054 H. Cohn, Small spherical and projective codes, data set, updated 2025, DSpace@MIT, https://hdl.handle.net/1721.1/142661.
Minimal polynomial listed in plain text data
11 30 0.111111111112 H. Cohn, Small spherical and projective codes, data set, 2022, DSpace@MIT, https://hdl.handle.net/1721.1/142661.
9⁢x−1
11 31 0.116882716629 H. Cohn, Small spherical and projective codes, data set, 2022, DSpace@MIT, https://hdl.handle.net/1721.1/142661.
1880159⁢x4+662980⁢x3+23850⁢x2−9500⁢x−625
11 32 0.127120178791 H. Cohn, Small spherical and projective codes, data set, 2022, DSpace@MIT, https://hdl.handle.net/1721.1/142661.
11 33 0.130869404972 Henry Cohn, 2023.
4276703⁢x4+1417464⁢x3−4824⁢x2−23328⁢x−1296
11 35 0.134804262191 Henry Cohn, 2023.
379⁢x2−14⁢x−5
11 36 0.135617659465 Henry Cohn, 2023.
34679⁢x4+11944⁢x3+264⁢x2−224⁢x−16
11 37 0.141119306055 Henry Cohn, 2023.
11 40 0.142857142858 H. Cohn, D. de Laat, and N. Leijenhorst, Optimality of spherical codes via exact semidefinite programming bounds, preprint, 2024, arXiv:2403.16874.
7⁢x−1
11 41 0.151608920662 Henry Cohn, 2023.
215⁢x2−26⁢x−1
11 42 0.152689377129 Henry Cohn, 2023.
441⁢x4+84⁢x3−66⁢x2+1
11 43 0.154540745580 Henry Cohn, 2024.
11 44 0.164387348702 Henry Cohn, 2023.
11 45 0.167764862361 Henry Cohn, 2023.
11 46 0.173024920814 Henry Cohn, 2023.
11 47 0.193134292608 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 48 0.198507362836 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 49 0.200478577594 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 50 0.204213386721 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 51 0.204957387535 Henry Cohn, 2023.
Minimal polynomial listed in plain text data
11 52 0.207163129386 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 53 0.209178537882 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 54 0.210356284337 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 55 0.211676319336 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 56 0.214633932920 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 61 0.214737233855 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
31⁢x2−2⁢x−1
11 68 0.231819094924 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
79⁢x2−14⁢x−1
11 69 0.241565014044 Henry Cohn, 2025.
Minimal polynomial listed in plain text data
11 70 0.244726315701 Henry Cohn, 2026.
263⁢x8−408⁢x7+27724⁢x6−10136⁢x5−11182⁢x4+5880⁢x3−932⁢x2+56⁢x−1
11 71 0.251063071270 Henry Cohn, 2026.
11 72 0.252505460067 Luke Granto, 2026.
11 73 0.252809003477 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 74 0.253814485528 Henry Cohn, 2026, needs more optimization.
11 75 0.255492795341 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 76 0.255729128120 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 77 0.258886418676 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 78 0.259645753634 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 79 0.260230531928 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 80 0.261163095118 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 81 0.261593527993 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 82 0.263018342364 Antoine Olivier, 2026.
11 83 0.263833259782 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 84 0.265001083146 Henry Cohn, 2026, needs more optimization.
11 85 0.266119803599 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 90 0.267191024627 Henry Cohn, 2026.
71⁢x2−4⁢x−4
11 91 0.273036326608 Henry Cohn, 2026.
11 92 0.280238324819 Henry Cohn, 2026, needs more optimization.
11 93 0.281331655261 Henry Cohn, 2026, needs more optimization.
11 94 0.282309473524 Henry Cohn, 2026.
11 95 0.283342800132 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 96 0.284656615290 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 97 0.285667906221 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 98 0.287338503170 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 99 0.288535692949 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 100 0.299763934480 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 101 0.302825797732 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 102 0.304429738364 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 103 0.304763721981 Henry Cohn, 2026, needs more optimization.
11 104 0.304774622973 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 105 0.305250484672 Henry Cohn, 2026, needs more optimization.
11 106 0.306417420784 Henry Cohn, 2026.
11 107 0.309832969299 Henry Cohn, 2026.
11 108 0.313206839612 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 109 0.319003125079 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 110 0.321538946690 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 111 0.322192544229 Arhan Canli, 2026.
11 112 0.322257808620 Arhan Canli, 2026.
11 113 0.322493378151 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 114 0.322691441984 Arhan Canli, 2026.
11 115 0.322904447309 Arhan Canli, 2026.
11 116 0.323595103174 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 117 0.324275550293 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 118 0.324624058219 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 119 0.324905922020 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 120 0.325028575040 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 121 0.325463854372 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 122 0.325932007898 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 123 0.327118459323 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 124 0.328643334260 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 125 0.330422987295 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 126 0.331455431898 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 127 0.332142102590 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 128 0.332166503541 Arhan Canli, 2026.
11 129 0.332282468190 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 130 0.332374521039 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 131 0.332556317289 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 132 0.333102701122 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 136 0.333333333334 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
3⁢x−1
11 156 0.333333333334 M. Ganzhinov, Highly symmetric lines, Linear Algebra Appl. 722 (2025), 12–37, doi:10.1016/j.laa.2025.05.002.
3⁢x−1
11 157 0.360231641870 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 158 0.363455231410 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 159 0.366462928122 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 160 0.369327437577 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 161 0.371018284341 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 162 0.371733073788 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 163 0.374234763346 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 166 0.375 M. Ganzhinov and P. R. J. Östergård, Spherical codes with prescribed signed permutation automorphisms inside shells of low-dimensional integer lattices, IEEE Trans. Inform. Theory 70 (2024), 8669–8674, doi:10.1109/tit.2024.3462593, arXiv:2403.04330.
8⁢x−3
11 168 0.381138862871 Henry Cohn, 2026, needs more optimization.
11 171 0.381745919986 Arhan Canli, 2026.
11 172 0.387517047379 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 173 0.388728920950 Arhan Canli, 2026.
11 174 0.390240762661 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 175 0.391367498358 Arhan Canli, 2026.
11 176 0.392248094441 Arhan Canli, 2026.
11 177 0.392538229503 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 178 0.393154202755 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 179 0.393185393161 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 180 0.393721849516 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 181 0.394437209582 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 182 0.394773177733 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 183 0.394903839923 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 184 0.395379467118 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 185 0.395569602670 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 186 0.395687261933 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 187 0.395784799648 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 188 0.395881320396 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 191 0.395932935891 Henry Cohn, 2026, needs more optimization.
11 192 0.396249890713 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 193 0.396290902807 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 194 0.396318236410 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 196 0.396960957159 Henry Cohn, 2026, needs more optimization.
11 197 0.397258209194 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 198 0.397946859963 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 199 0.398046311979 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 200 0.398221272664 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 201 0.398575443508 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 202 0.399143524260 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 203 0.399743629360 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 204 0.400308204110 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 205 0.400575416411 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 206 0.401653680251 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 207 0.402094738575 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 208 0.404393262012 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 209 0.405390054495 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 210 0.405609872100 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 211 0.405610414758 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 212 0.406010594803 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 213 0.406192123357 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 214 0.408584633227 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 215 0.409891112491 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 216 0.410877688272 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 217 0.411687079085 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 218 0.412120687575 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 219 0.412283759118 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 220 0.412311500303 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 221 0.413518416386 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 222 0.414241603265 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 223 0.414641559769 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 224 0.418039796739 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 225 0.418575492722 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 226 0.419825697126 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 227 0.419867309823 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 228 0.419910924104 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 229 0.422548038030 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 230 0.424802213057 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 231 0.425093091997 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 232 0.425297112275 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 233 0.425705815026 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 234 0.425966110169 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 235 0.426491111360 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 236 0.426884106087 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 237 0.427200595389 Arhan Canli, 2026.
11 238 0.427522975004 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 239 0.427739531056 Arhan Canli, 2026.
11 240 0.427979928661 Arhan Canli, 2026.
11 241 0.428341328100 Arhan Canli, 2026.
11 242 0.428490156191 Arhan Canli, 2026.
11 243 0.428984758607 Arhan Canli, 2026.
11 244 0.429342786436 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 245 0.429540867075 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 246 0.429608118254 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 247 0.430395120256 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 248 0.430848395319 Arhan Canli, 2026.
11 249 0.430857864339 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 250 0.431881873143 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 251 0.433060218160 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 252 0.433960680702 Arhan Canli, 2026.
11 253 0.435435777946 Arhan Canli, 2026.
11 254 0.435900796530 Henry Cohn, 2026, needs more optimization.
11 255 0.436451428022 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 263 0.437534907607 Arhan Canli, 2026.
11 264 0.438116864832 Arhan Canli, 2026.
11 265 0.438205916262 Arhan Canli, 2026.
11 266 0.438271153594 Arhan Canli, 2026.
11 267 0.438272480190 Henry Cohn, 2026, needs more optimization.
11 268 0.438387235073 Arhan Canli, 2026.
11 269 0.438474119172 Arhan Canli, 2026.
11 270 0.438907215805 Arhan Canli, 2026.
11 271 0.439287278524 Arhan Canli, 2026.
11 273 0.439722136329 Arhan Canli, 2026.
11 274 0.440130462479 Arhan Canli, 2026.
11 275 0.440512824535 Arhan Canli, 2026.
11 276 0.440566773962 Henry Cohn, 2026, needs more optimization.
11 277 0.441100728742 Arhan Canli, 2026.
11 278 0.441351201232 Arhan Canli, 2026.
11 279 0.441566108039 Arhan Canli, 2026.
11 280 0.441915717970 Arhan Canli, 2026.
11 281 0.442402221226 Arhan Canli, 2026.
11 282 0.442666904919 Henry Cohn, 2026, needs more optimization.
11 283 0.442750328936 Henry Cohn, 2026, needs more optimization.
11 284 0.443022128670 Henry Cohn, 2026, needs more optimization.
11 285 0.443552555444 Henry Cohn, 2026, needs more optimization.
11 286 0.443937253441 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 287 0.444166020938 Arhan Canli, 2026.
11 288 0.444412834715 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 289 0.444740618483 Henry Cohn, 2026, needs more optimization.
11 290 0.445396883626 Arhan Canli, 2026.
11 291 0.445575788310 Arhan Canli, 2026.
11 292 0.445925340864 Arhan Canli, 2026.
11 293 0.446796016459 Henry Cohn, 2026, needs more optimization.
11 294 0.447606131349 Arhan Canli, 2026.
11 295 0.448956007958 Arhan Canli, 2026.
11 296 0.449964189672 Arhan Canli, 2026.
11 297 0.450874521617 Arhan Canli, 2026.
11 298 0.451304278546 Arhan Canli, 2026.
11 300 0.453922784760 Arhan Canli, 2026.
11 301 0.455672758249 Arhan Canli, 2026.
11 302 0.456163668225 Arhan Canli, 2026.
11 303 0.457361393610 Arhan Canli, 2026.
11 304 0.458715971953 Arhan Canli, 2026.
11 305 0.458838724717 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 306 0.459519853583 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 307 0.459827385295 Henry Cohn, 2026, needs more optimization.
11 308 0.461120186382 Arhan Canli, 2026.
11 309 0.461147931588 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 310 0.461810169770 Arhan Canli, 2026.
11 311 0.463454229266 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 314 0.463929206964 Henry Cohn, 2026, needs more optimization.
11 315 0.464728386022 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 316 0.464997036157 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 317 0.465291032685 Arhan Canli, 2026.
11 318 0.465315124686 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 319 0.466176028661 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 320 0.466196552931 Henry Cohn, 2026, needs more optimization.
11 321 0.466860191317 Henry Cohn, 2026, needs more optimization.
11 322 0.466978249771 Henry Cohn, 2026, needs more optimization.
11 323 0.467291639442 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 324 0.467983026348 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 325 0.468238857083 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 326 0.468897885946 Henry Cohn, 2026, needs more optimization.
11 327 0.469196233936 Henry Cohn, 2026, needs more optimization.
11 328 0.469734330717 Henry Cohn, 2026, needs more optimization.
11 329 0.470019329484 Henry Cohn, 2026, needs more optimization.
11 342 0.470588235295 Henry Cohn, 2026.
17⁢x−8
11 343 0.472339723589 Henry Cohn, 2026, needs more optimization.
11 344 0.473457257475 Henry Cohn, 2026, needs more optimization.
11 345 0.474142137297 Henry Cohn, 2026, needs more optimization.
11 346 0.474554016863 Henry Cohn, 2026, needs more optimization.
11 347 0.474972488386 Henry Cohn, 2026, needs more optimization.
11 348 0.475438984916 Henry Cohn, 2026, needs more optimization.
11 353 0.475528482959 Henry Cohn, 2026, needs more optimization.
11 355 0.476209364641 Henry Cohn, 2026, needs more optimization.
11 356 0.477619263739 Henry Cohn, 2026, needs more optimization.
11 357 0.477814979449 Henry Cohn, 2026, needs more optimization.
11 358 0.477889969855 Henry Cohn, 2026, needs more optimization.
11 359 0.478031259864 Henry Cohn, 2026, needs more optimization.
11 360 0.478154961446 Henry Cohn, 2026, needs more optimization.
11 362 0.478185060834 Uploaded by anonymous internet user, 2026.
11 363 0.479143579715 Henry Cohn, 2026, needs more optimization.
11 364 0.479146146404 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 365 0.479206069935 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 369 0.479436019265 Henry Cohn, 2026, needs more optimization.
11 370 0.480203453972 Henry Cohn, 2026, needs more optimization.
11 371 0.480329423348 Henry Cohn, 2026, needs more optimization.
11 372 0.480453563547 Henry Cohn, 2026, needs more optimization.
11 373 0.480471278815 Henry Cohn, 2026, needs more optimization.
11 374 0.480646048452 Henry Cohn, 2026, needs more optimization.
11 375 0.480988250775 Henry Cohn, 2026, needs more optimization.
11 376 0.481303130924 Henry Cohn, 2026, needs more optimization.
11 377 0.481675278762 Henry Cohn, 2026, needs more optimization.
11 378 0.481772440322 Henry Cohn, 2026, needs more optimization.
11 379 0.482240997769 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 382 0.482412807023 Henry Cohn, 2026, needs more optimization.
11 383 0.483146493343 Henry Cohn, 2026, needs more optimization.
11 384 0.483657090144 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 390 0.483846773921 Henry Cohn, 2026, needs more optimization.
11 398 0.484546284956 Henry Cohn, 2026, needs more optimization.
11 399 0.485729974891 Henry Cohn, 2026, needs more optimization.
11 400 0.485830288073 Henry Cohn, 2026, needs more optimization.
11 404 0.485886995640 Henry Cohn, 2026, needs more optimization.
11 405 0.486188374731 Henry Cohn, 2026, needs more optimization.
11 406 0.486202647530 Henry Cohn, 2026, needs more optimization.
11 407 0.486252629620 Henry Cohn, 2026, needs more optimization.
11 408 0.486443087385 Henry Cohn, 2026, needs more optimization.
11 409 0.486575460948 Henry Cohn, 2026, needs more optimization.
11 410 0.486711218007 Henry Cohn, 2026, needs more optimization.
11 411 0.487335409757 Henry Cohn, 2026, needs more optimization.
11 412 0.488062665798 Henry Cohn, 2026, needs more optimization.
11 413 0.488445226628 Henry Cohn, 2026, needs more optimization.
11 414 0.488883129839 Henry Cohn, 2026, needs more optimization.
11 415 0.488927573457 Henry Cohn, 2026, needs more optimization.
11 416 0.489052705352 Henry Cohn, 2026, needs more optimization.
11 417 0.489127006838 Henry Cohn, 2026, needs more optimization.
11 418 0.489294089714 Henry Cohn, 2026, needs more optimization.
11 419 0.489363765415 Henry Cohn, 2026, needs more optimization.
11 420 0.489493222848 Henry Cohn, 2026, needs more optimization.
11 421 0.489597607146 Henry Cohn, 2026, needs more optimization.
11 422 0.489703753403 Henry Cohn, 2026, needs more optimization.
11 423 0.489836855343 Henry Cohn, 2026, needs more optimization.
11 424 0.489999400221 Henry Cohn, 2026, needs more optimization.
11 425 0.490105681926 Henry Cohn, 2026, needs more optimization.
11 429 0.490644840818 Robert Dallara, 2026.
11 431 0.491465995283 Henry Cohn, 2026, needs more optimization.
11 432 0.491933948056 Henry Cohn, 2026, needs more optimization.
11 433 0.492097050655 Henry Cohn, 2026, needs more optimization.
11 434 0.492274045722 Henry Cohn, 2026, needs more optimization.
11 435 0.492334882819 Henry Cohn, 2026, needs more optimization.
11 436 0.492636601549 Henry Cohn, 2026, needs more optimization.
11 437 0.492774961206 Henry Cohn, 2026, needs more optimization.
11 438 0.492800955733 Henry Cohn, 2026, needs more optimization.
11 439 0.492843282583 Henry Cohn, 2026, needs more optimization.
11 440 0.492996475253 Henry Cohn, 2026, needs more optimization.
11 441 0.493004359549 Henry Cohn, 2026, needs more optimization.
11 442 0.493039576191 Henry Cohn, 2026, needs more optimization.
11 443 0.493048475923 Henry Cohn, 2026, needs more optimization.
11 444 0.493104504689 Henry Cohn, 2026, needs more optimization.
11 445 0.493278939824 Henry Cohn, 2026, needs more optimization.
11 446 0.493310866994 Henry Cohn, 2026, needs more optimization.
11 447 0.493347754121 Henry Cohn, 2026, needs more optimization.
11 448 0.493366370551 Henry Cohn, 2026, needs more optimization.
11 449 0.494145130994 Henry Cohn, 2026, needs more optimization.
11 450 0.495206037924 Henry Cohn, 2026, needs more optimization.
11 456 0.495214454275 Henry Cohn, 2026, needs more optimization.
11 457 0.495448644971 Henry Cohn, 2026, needs more optimization.
11 458 0.496125863634 Henry Cohn, 2026, needs more optimization.
11 459 0.496346059689 Henry Cohn, 2026, needs more optimization.
11 466 0.496471283481 Henry Cohn, 2026, needs more optimization.
11 475 0.496682947136 Henry Cohn, 2026, needs more optimization.
11 476 0.498337032702 Henry Cohn, 2026, needs more optimization.
11 477 0.498377079967 Henry Cohn, 2026, needs more optimization.
11 482 0.498426115663 Henry Cohn, 2026, needs more optimization.
11 483 0.499145041848 Henry Cohn, 2026, needs more optimization.
11 484 0.499186507960 Henry Cohn, 2026, needs more optimization.
11 491 0.499209490021 Henry Cohn, 2026, needs more optimization.
11 492 0.499423062530 Henry Cohn, 2026, needs more optimization.
11 493 0.499438035770 Henry Cohn, 2026, needs more optimization.
11 502 0.499450440715 Henry Cohn, 2026, needs more optimization.
11 504 0.499475056134 Henry Cohn, 2026, needs more optimization.
11 505 0.499564967436 Henry Cohn, 2026, needs more optimization.
11 506 0.499568600354 Henry Cohn, 2026, needs more optimization.
11 507 0.499572906651 Henry Cohn, 2026, needs more optimization.
11 508 0.499578208688 Henry Cohn, 2026, needs more optimization.
11 509 0.499582213817 Henry Cohn, 2026, needs more optimization.
11 510 0.499585501788 Henry Cohn, 2026, needs more optimization.
11 511 0.499588968819 Henry Cohn, 2026, needs more optimization.
11 512 0.499592720389 Henry Cohn, 2026, needs more optimization.
11 513 0.499594727864 Henry Cohn, 2026, needs more optimization.
11 514 0.499597713300 Henry Cohn, 2026, needs more optimization.
11 515 0.499602358455 Henry Cohn, 2026, needs more optimization.
11 516 0.499609818999 Henry Cohn, 2026, needs more optimization.
11 517 0.499613301833 Henry Cohn, 2026, needs more optimization.
11 518 0.499616586819 Henry Cohn, 2026, needs more optimization.
11 519 0.499620424283 Henry Cohn, 2026, needs more optimization.
11 520 0.499622683484 Henry Cohn, 2026, needs more optimization.
11 521 0.499625595635 Henry Cohn, 2026, needs more optimization.
11 522 0.499641012538 Henry Cohn, 2026, needs more optimization.
11 523 0.499641035684 Henry Cohn, 2026, needs more optimization.
11 524 0.499643861672 Henry Cohn, 2026, needs more optimization.
11 525 0.499643868478 Henry Cohn, 2026, needs more optimization.
11 526 0.499644220027 Henry Cohn, 2026, needs more optimization.
11 527 0.499644278560 Henry Cohn, 2026, needs more optimization.
11 528 0.499645182300 Henry Cohn, 2026, needs more optimization.
11 529 0.499645382748 Henry Cohn, 2026, needs more optimization.
11 530 0.499645829367 Henry Cohn, 2026, needs more optimization.
11 531 0.499647784863 Henry Cohn, 2026, needs more optimization.
11 532 0.499647799745 Henry Cohn, 2026, needs more optimization.
11 533 0.499650655303 Henry Cohn, 2026, needs more optimization.
11 534 0.499651373920 Henry Cohn, 2026, needs more optimization.
11 535 0.499651531493 Henry Cohn, 2026, needs more optimization.
11 536 0.499652346072 Henry Cohn, 2026, needs more optimization.
11 537 0.499652836682 Henry Cohn, 2026, needs more optimization.
11 538 0.499655636834 Henry Cohn, 2026, needs more optimization.
11 539 0.499655885200 Henry Cohn, 2026, needs more optimization.
11 540 0.499656156173 Henry Cohn, 2026, needs more optimization.
11 541 0.499656171665 Henry Cohn, 2026, needs more optimization.
11 542 0.499656268924 Henry Cohn, 2026, needs more optimization.
11 543 0.499657802180 Henry Cohn, 2026, needs more optimization.
11 544 0.499657803840 Henry Cohn, 2026, needs more optimization.
11 545 0.499657822653 Henry Cohn, 2026, needs more optimization.
11 546 0.499657891287 Henry Cohn, 2026, needs more optimization.
11 547 0.499658318038 Henry Cohn, 2026, needs more optimization.
11 548 0.499658778461 Henry Cohn, 2026, needs more optimization.
11 549 0.499658792558 Henry Cohn, 2026, needs more optimization.
11 550 0.499658849177 Henry Cohn, 2026, needs more optimization.
11 551 0.499659189523 Henry Cohn, 2026, needs more optimization.
11 552 0.499659559218 Henry Cohn, 2026, needs more optimization.
11 553 0.499659564701 Henry Cohn, 2026, needs more optimization.
11 554 0.499659565149 Henry Cohn, 2026, needs more optimization.
11 555 0.499659578668 Henry Cohn, 2026, needs more optimization.
11 556 0.499659597782 Henry Cohn, 2026, needs more optimization.
11 557 0.499659635349 Henry Cohn, 2026, needs more optimization.
11 558 0.499659971440 Henry Cohn, 2026, needs more optimization.
11 559 0.499660328025 Henry Cohn, 2026, needs more optimization.
11 560 0.499660328239 Henry Cohn, 2026, needs more optimization.
11 561 0.499660328582 Henry Cohn, 2026, needs more optimization.
11 562 0.499660329168 Henry Cohn, 2026, needs more optimization.
11 563 0.499660335332 Henry Cohn, 2026, needs more optimization.
11 564 0.499660343142 Henry Cohn, 2026, needs more optimization.
11 565 0.499660351868 Henry Cohn, 2026, needs more optimization.
11 566 0.499660380860 Henry Cohn, 2026, needs more optimization.
11 567 0.499660625907 Henry Cohn, 2026, needs more optimization.
11 568 0.499660635063 Henry Cohn, 2026, needs more optimization.
11 569 0.499660648308 Henry Cohn, 2026, needs more optimization.
11 570 0.499660664844 Henry Cohn, 2026, needs more optimization.
11 571 0.499660956357 Henry Cohn, 2026, needs more optimization.
11 572 0.499660956774 Henry Cohn, 2026, needs more optimization.
11 573 0.499660957644 Henry Cohn, 2026, needs more optimization.
11 574 0.499660958218 Henry Cohn, 2026, needs more optimization.
11 575 0.499660985475 Henry Cohn, 2026, needs more optimization.
11 576 0.499661193356 Henry Cohn, 2026, needs more optimization.
11 577 0.499661204870 Henry Cohn, 2026, needs more optimization.
11 578 0.499661245275 Henry Cohn, 2026, needs more optimization.
11 579 0.499662537460 Henry Cohn, 2026, needs more optimization.
11 580 0.499663118871 Henry Cohn, 2026, needs more optimization.
11 581 0.499663121136 Henry Cohn, 2026, needs more optimization.
11 582 0.499663807783 Henry Cohn, 2026, needs more optimization.
11 583 0.499663824518 Henry Cohn, 2026, needs more optimization.
11 584 0.499663824535 Henry Cohn, 2026, needs more optimization.
11 585 0.499664041987 Henry Cohn, 2026, needs more optimization.
11 586 0.499664312285 Henry Cohn, 2026, needs more optimization.
11 587 0.499664372133 Henry Cohn, 2026, needs more optimization.
11 588 0.499666160454 Henry Cohn, 2026, needs more optimization.
11 589 0.499666163906 Henry Cohn, 2026, needs more optimization.
11 590 0.499666184241 Henry Cohn, 2026, needs more optimization.
11 591 0.499666323817 Henry Cohn, 2026, needs more optimization.
11 592 0.499668989970 Henry Cohn, 2026, needs more optimization.
11 593 0.499999985855 Henry Cohn, 2026, needs more optimization.
11 604 0.5 F. Bianchi, Y. Kwon, A. Pappu, and J. Zou, Harnessing the collective intelligence of AI agents in the wild for new discoveries, preprint, 2026, arXiv:2606.10402.
2⁢x−1
11 605 0.507413214287 Henry Cohn, 2026, needs more optimization.
11 606 0.508065825376 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 607 0.508541273904 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 608 0.508829438760 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 609 0.509070147738 Henry Cohn, 2026, needs more optimization.
11 610 0.509551977262 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 611 0.509603781299 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 612 0.509708839475 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 613 0.509840968058 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 614 0.510303581774 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 615 0.510928748557 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 616 0.511122671840 Henry Cohn, 2026, needs more optimization.
11 617 0.511889490974 Henry Cohn, 2026, needs more optimization.
11 618 0.513408415435 Henry Cohn, 2026, needs more optimization.
11 619 0.513861441907 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 620 0.514033552842 Henry Cohn, 2026, needs more optimization.
11 621 0.514676802078 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 622 0.514772325984 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 623 0.515099544536 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 624 0.515382732138 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 625 0.515647140198 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 626 0.516014992788 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 627 0.516277098567 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 628 0.516911918454 Henry Cohn, 2026, needs more optimization.
11 629 0.517524588160 Henry Cohn, 2026, needs more optimization.
11 630 0.517863158701 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 631 0.518224674144 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 632 0.518567853365 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 633 0.518872119999 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 634 0.519534230430 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 635 0.519817484849 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 636 0.520425781348 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 637 0.520903322910 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 638 0.521125765803 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 639 0.521611716163 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 640 0.522139110644 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 641 0.522701283256 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 642 0.522900346210 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 643 0.523744021970 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 644 0.524069006124 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 645 0.524518426324 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 646 0.524893981494 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 647 0.525217996054 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 648 0.525559588934 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 649 0.525567190493 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 650 0.525661139783 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 651 0.525700798225 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 652 0.525723786491 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 653 0.525817650315 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 654 0.525906046626 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 655 0.526148490544 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 656 0.526325072251 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 657 0.526482827235 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 658 0.526589504774 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 659 0.526791058520 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 660 0.526902177410 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 661 0.526972284227 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 662 0.527047257742 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 663 0.527138857726 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 664 0.527226020483 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 665 0.527283407694 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 666 0.527704956501 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 667 0.527748892403 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 668 0.528029045945 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 669 0.528207463542 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 670 0.528444697702 Henry Cohn, 2026, needs more optimization.
11 671 0.528734589746 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 672 0.528858227289 Henry Cohn, 2026, needs more optimization.
11 673 0.529260296662 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 674 0.529406305382 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 675 0.529544960915 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 676 0.529645748858 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 677 0.529757116000 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 678 0.529920319590 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 679 0.530044141613 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 680 0.530070044323 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 681 0.530198061847 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 682 0.530411805364 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 683 0.530676208107 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 684 0.530883669087 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 685 0.530915428896 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 686 0.531175327713 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 687 0.531239879053 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 688 0.531314915121 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 689 0.532038767701 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 690 0.532737805980 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 691 0.532962761664 Henry Cohn, 2026, needs more optimization.
11 692 0.533712311242 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 693 0.538656399915 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 694 0.538991959669 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 695 0.539416460832 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 696 0.539496346879 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 697 0.539954947249 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 698 0.540353882898 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 699 0.540646421959 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 700 0.540791584712 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 701 0.540855525815 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 702 0.540862221350 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 703 0.540981851225 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 704 0.541203830271 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 705 0.541229766172 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 706 0.541255810943 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 707 0.541271052012 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 708 0.541386027022 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 709 0.541431260795 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 710 0.541439446145 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 711 0.541443861560 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 712 0.541651939734 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 713 0.541688790862 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 714 0.541740403019 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 715 0.541853126681 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 716 0.542314305404 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 717 0.542392221456 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 718 0.542406385969 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 719 0.542450857794 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 720 0.542571505243 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 721 0.542762548190 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 722 0.542944987473 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 723 0.542978793099 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 724 0.543008409852 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 725 0.543389456357 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 726 0.543540746098 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 727 0.543652841959 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 728 0.543803174122 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 729 0.543830499379 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 730 0.543906423372 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 731 0.544841107604 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 732 0.544898479826 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 733 0.545311273427 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 734 0.545615774487 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 735 0.545796556143 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 736 0.546351006997 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 737 0.546621535430 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 738 0.546760720032 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
11 1002 0.546918160679 Kevin Li, 2026.
7⁢x2−2⁢x−1
11 1003 0.548612669595 Henry Cohn, 2026, needs more optimization.
11 1004 0.555804495130 Henry Cohn, 2026, needs more optimization.
11 1005 0.562055142255 Henry Cohn, 2026, needs more optimization.
11 1009 0.562441984596 Henry Cohn, 2026, needs more optimization.
11 1010 0.567063940173 Henry Cohn, 2026, needs more optimization.
11 1011 0.567942231957 Henry Cohn, 2026, needs more optimization.
11 1012 0.568972347062 Henry Cohn, 2026, needs more optimization.
11 1013 0.571626602098 Henry Cohn, 2026, needs more optimization.
11 1014 0.571814411457 Henry Cohn, 2026, needs more optimization.
11 1015 0.571936436041 Henry Cohn, 2026, needs more optimization.
11 1016 0.572061963752 Henry Cohn, 2026, needs more optimization.
11 1017 0.572191614821 Henry Cohn, 2026, needs more optimization.
11 1018 0.572358672503 Henry Cohn, 2026, needs more optimization.
11 1019 0.572475531054 Henry Cohn, 2026, needs more optimization.
11 1020 0.572598768802 Henry Cohn, 2026, needs more optimization.
11 1021 0.572657133727 Henry Cohn, 2026, needs more optimization.
11 1022 0.572791996854 Henry Cohn, 2026, needs more optimization.
11 1023 0.572912183746 Henry Cohn, 2026, needs more optimization.
11 1024 0.573027892261 Pavlos Moros, 2026.
12 25 0.061281914575 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
1200⁢x3−144⁢x2−12⁢x+1
12 26 0.071428571429 T. Ericson and V. Zinoviev, Spherical codes generated by binary partitions of symmetric pointsets, IEEE Trans. Inform. Theory 41 (1995), 107–129, doi:10.1109/18.370114.
14⁢x−1
12 27 0.074764926182 H. Cohn, Small spherical and projective codes, data set, 2022, DSpace@MIT, https://hdl.handle.net/1721.1/142661.
12 28 0.082592206268 H. Cohn, Small spherical and projective codes, data set, 2022, DSpace@MIT, https://hdl.handle.net/1721.1/142661.
12 29 0.084348009310 H. Cohn, Small spherical and projective codes, data set, 2022, DSpace@MIT, https://hdl.handle.net/1721.1/142661.
496⁢x4+92⁢x3−57⁢x2−8⁢x+1
12 30 0.089146601434 H. Cohn, Small spherical and projective codes, data set, 2022, DSpace@MIT, https://hdl.handle.net/1721.1/142661.
3856⁢x4+1456⁢x3+100⁢x2−12⁢x−1
12 31 0.098704091241 H. Cohn, Small spherical and projective codes, data set, 2022, DSpace@MIT, https://hdl.handle.net/1721.1/142661.
863⁢x2+6⁢x−9
12 32 0.098704091241 H. Cohn, Small spherical and projective codes, data set, 2022, DSpace@MIT, https://hdl.handle.net/1721.1/142661.
863⁢x2+6⁢x−9
12 34 0.112004618870 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
44⁢x2+4⁢x−1
12 35 0.119914058434 Henry Cohn, 2025.
12 36 0.121730661114 Henry Cohn, 2026.
12 37 0.121971459128 Henry Cohn, 2023.
359⁢x2+30⁢x−9
12 38 0.130785955647 Henry Cohn, 2026.
12 39 0.132497435001 Henry Cohn, 2023.
12 40 0.133638243588 Henry Cohn, 2023.
12 41 0.135922539556 Henry Cohn, 2023.
12 42 0.136597789057 Henry Cohn, 2023.
5296⁢x4+1248⁢x3−40⁢x2−24⁢x−1
12 43 0.139595542735 Henry Cohn, 2023.
Minimal polynomial listed in plain text data
12 44 0.141964936980 Henry Cohn, 2023.
736256⁢x8−133120⁢x7−146176⁢x6−13824⁢x5+8368⁢x4+1568⁢x3−72⁢x2−24⁢x−1
12 45 0.149653254074 Henry Cohn, 2024.
12 46 0.150221879934 Henry Cohn, 2025.
12 50 0.150442862439 Henry Cohn, 2023.
956⁢x2−84⁢x−9
12 51 0.159810400056 Henry Cohn, 2023.
3600⁢x5−1080⁢x4−252⁢x3+36⁢x2+9⁢x−1
12 52 0.180095470186 Henry Cohn, 2025.
12 53 0.187323217985 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 54 0.189736045016 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
12 55 0.193319221516 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
12 60 0.193457871625 Henry Cohn, 2026.
3088⁢x4−1184⁢x3−120⁢x2+40⁢x+1
12 61 0.196565668411 Henry Cohn, 2026.
Minimal polynomial listed in plain text data
12 62 0.197162933815 Henry Cohn, 2026.
24⁢x3+92⁢x2−14⁢x−1
12 63 0.207400387824 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
12 64 0.210566554872 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
12 65 0.214409160183 Henry Cohn, 2026.
12 66 0.214718112242 Antoine Olivier, 2026.
12 67 0.215314862828 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
12 68 0.219978834878 Henry Cohn, 2026, needs more optimization.
12 69 0.225092708566 Henry Cohn, 2026, needs more optimization.
12 70 0.228364125667 Henry Cohn, 2026, needs more optimization.
12 71 0.230211592242 Henry Cohn, 2026, needs more optimization.
12 72 0.231096328878 Henry Cohn, 2026, needs more optimization.
12 73 0.232328768771 Henry Cohn, 2026, needs more optimization.
12 74 0.232756430709 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 78 0.233245773320 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
455568⁢x4−93824⁢x3−18708⁢x2+2448⁢x+289
12 79 0.241071142239 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
12 80 0.243286088451 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 81 0.243910094468 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
12 90 0.244488618750 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
29⁢x2−3⁢x−1
12 91 0.250930941988 Henry Cohn, 2026, needs more optimization.
12 92 0.258276397340 Antoine Olivier, 2026.
12 93 0.258578655331 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 94 0.258907434420 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 95 0.259422145958 Arhan Canli, 2026.
12 100 0.259843574332 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
167⁢x2−28⁢x−4
12 101 0.260004785660 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 102 0.267189021658 Henry Cohn, 2026, needs more optimization.
12 103 0.268871884424 Arhan Canli, 2026.
12 104 0.271216741430 Arhan Canli, 2026.
12 106 0.271795861692 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
9857⁢x4−1284⁢x3−378⁢x2−4⁢x+1
12 107 0.273389545228 Arhan Canli, 2026.
12 108 0.276742343471 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
12 109 0.277360763676 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
12 110 0.277818835253 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
12 111 0.278673380268 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
12 112 0.279410125474 Arhan Canli, 2026.
12 113 0.281946652762 Arhan Canli, 2026.
12 114 0.290350338240 Arhan Canli, 2026.
12 115 0.291586108439 Arhan Canli, 2026.
12 116 0.292118646643 Arhan Canli, 2026.
12 117 0.292825931080 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
12 118 0.293549457622 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
12 119 0.294441562714 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
12 121 0.294708984703 Henry Cohn, 2026.
12 138 0.299119474480 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
49⁢x2−18⁢x+1
12 139 0.300637961639 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 140 0.308490171660 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 141 0.317509000097 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 142 0.317588035145 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 143 0.317814175229 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 144 0.317963092614 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 145 0.318260329457 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 146 0.318476035507 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 147 0.318849581733 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 148 0.319694060759 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 149 0.320687471946 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 150 0.322737861465 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 151 0.324338709030 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 152 0.326095072979 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
12 153 0.326663199941 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
12 154 0.327732821508 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
12 155 0.328401838815 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
12 156 0.328626900885 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
12 157 0.329207461444 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
12 158 0.329458984544 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
12 159 0.329657200966 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
12 160 0.329814833598 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
12 161 0.329897727579 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
12 162 0.329991312203 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
12 163 0.330656469999 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
12 164 0.331261134476 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
12 165 0.331415494102 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
12 166 0.331797491509 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
12 167 0.332153895455 Henry Cohn, 2026, needs more optimization.
12 168 0.332482019903 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
12 169 0.332713895660 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 170 0.332830733250 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 171 0.332962495939 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 172 0.333015274866 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 173 0.333031589011 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 174 0.333057570223 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 175 0.333096643877 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 176 0.333139737275 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 177 0.333140146607 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 178 0.333144139006 Henry Cohn, 2026, needs more optimization.
12 179 0.333333906925 Henry Cohn, 2026, needs more optimization.
12 180 0.335272006610 Henry Cohn, 2026, needs more optimization.
12 181 0.344130500104 Henry Cohn, 2026, needs more optimization.
12 183 0.345552228635 Henry Cohn, 2026, needs more optimization.
12 184 0.348678039775 Henry Cohn, 2026, needs more optimization.
12 185 0.349443855465 Henry Cohn, 2026, needs more optimization.
12 186 0.351891258505 Henry Cohn, 2026, needs more optimization.
12 187 0.352415279239 Henry Cohn, 2026, needs more optimization.
12 188 0.353528941085 Henry Cohn, 2026, needs more optimization.
12 189 0.354668194086 Henry Cohn, 2026, needs more optimization.
12 190 0.355745660293 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
12 191 0.356085174184 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
12 192 0.356529372306 Robert Dallara, 2026.
12 193 0.357862431959 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
12 194 0.360514199084 Arhan Canli, 2026.
12 195 0.361701063121 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
12 196 0.362299122138 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
12 197 0.363059717265 Henry Cohn, 2026, needs more optimization.
12 198 0.364186303004 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
12 199 0.365047857075 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
12 200 0.365797047246 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
12 201 0.367099356686 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
12 202 0.367727770955 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
12 203 0.369076752419 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
12 204 0.369894963631 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
12 205 0.370831165488 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
12 206 0.372394404614 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
12 207 0.373238202010 Arhan Canli, 2026.
12 208 0.374150566081 Arhan Canli, 2026.
12 210 0.375 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001, Appendix D.12.12. The appendix lists the code size as 209, but the construction works just as well for 210.
8⁢x−3
12 211 0.376038746983 Arhan Canli, 2026.
12 212 0.377564229517 Arhan Canli, 2026.
12 213 0.377974142643 Arhan Canli, 2026.
12 214 0.378452979797 Arhan Canli, 2026.
12 215 0.378690197672 Arhan Canli, 2026.
12 216 0.379068200731 Arhan Canli, 2026.
12 217 0.381184120593 Arhan Canli, 2026.
12 218 0.381999622211 Arhan Canli, 2026.
12 219 0.382399104163 Arhan Canli, 2026.
12 220 0.382673246072 Arhan Canli, 2026.
12 221 0.383509817971 Arhan Canli, 2026.
12 222 0.383960804583 Arhan Canli, 2026.
12 223 0.384245362760 Arhan Canli, 2026.
12 224 0.384445713893 Arhan Canli, 2026.
12 225 0.384617024446 Arhan Canli, 2026.
12 226 0.384757076293 Arhan Canli, 2026.
12 227 0.385726068279 Arhan Canli, 2026.
12 228 0.386249144681 Arhan Canli, 2026.
12 229 0.386646391891 Arhan Canli, 2026.
12 230 0.387169979068 Arhan Canli, 2026.
12 231 0.387698892904 Arhan Canli, 2026.
12 232 0.389017615100 Arhan Canli, 2026.
12 233 0.390786361616 Arhan Canli, 2026.
12 234 0.390992513214 Arhan Canli, 2026.
12 235 0.391126439445 Arhan Canli, 2026.
12 236 0.391279101091 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
12 237 0.391460120928 Arhan Canli, 2026.
12 238 0.392096097000 Arhan Canli, 2026.
12 239 0.392514875601 Arhan Canli, 2026.
12 240 0.392766210217 Arhan Canli, 2026.
12 241 0.392881828838 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
12 242 0.395022722975 Arhan Canli, 2026.
12 243 0.396563768112 Arhan Canli, 2026.
12 244 0.398228738867 Arhan Canli, 2026.
12 245 0.398642468408 Arhan Canli, 2026.
12 246 0.398946004367 Arhan Canli, 2026.
12 247 0.399080968141 Arhan Canli, 2026.
12 248 0.399113388375 Arhan Canli, 2026.
12 288 0.4 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
5⁢x−2
12 290 0.4 Henry Cohn, 2026.
5⁢x−2
12 291 0.401553680755 Arhan Canli, 2026.
12 292 0.405513215154 Arhan Canli, 2026.
12 293 0.408651454165 Arhan Canli, 2026.
12 294 0.410761471641 Henry Cohn, 2026, needs more optimization.
12 295 0.412717806933 Henry Cohn, 2026, needs more optimization.
12 296 0.413757387356 Henry Cohn, 2026, needs more optimization.
12 297 0.414715708659 Henry Cohn, 2026, needs more optimization.
12 298 0.416895505743 Henry Cohn, 2026, needs more optimization.
12 299 0.418342407452 Henry Cohn, 2026, needs more optimization.
12 300 0.419707341466 Henry Cohn, 2026, needs more optimization.
12 301 0.420779807740 Henry Cohn, 2026, needs more optimization.
12 302 0.422031606694 Henry Cohn, 2026, needs more optimization.
12 303 0.423098911871 Henry Cohn, 2026, needs more optimization.
12 304 0.424099110888 Henry Cohn, 2026, needs more optimization.
12 305 0.425032977521 Henry Cohn, 2026, needs more optimization.
12 306 0.426435401107 Henry Cohn, 2026, needs more optimization.
12 308 0.427322422541 Henry Cohn, 2026, needs more optimization.
12 311 0.427673990583 Henry Cohn, 2026, needs more optimization.
12 315 0.427795081740 Henry Cohn, 2026, needs more optimization.
12 316 0.427889748255 Henry Cohn, 2026, needs more optimization.
12 317 0.427910476079 Henry Cohn, 2026, needs more optimization.
12 318 0.427927146719 Henry Cohn, 2026, needs more optimization.
12 319 0.427945277708 Henry Cohn, 2026, needs more optimization.
12 320 0.427988252521 Henry Cohn, 2026, needs more optimization.
12 321 0.428007959028 Henry Cohn, 2026, needs more optimization.
12 322 0.428040680334 Henry Cohn, 2026, needs more optimization.
12 323 0.428050853019 Henry Cohn, 2026, needs more optimization.
12 326 0.428054823372 Henry Cohn, 2026, needs more optimization.
12 327 0.428083634212 Henry Cohn, 2026, needs more optimization.
12 328 0.428121691320 Henry Cohn, 2026, needs more optimization.
12 329 0.428158478012 Henry Cohn, 2026, needs more optimization.
12 330 0.428192734207 Henry Cohn, 2026, needs more optimization.
12 331 0.428203982625 Henry Cohn, 2026, needs more optimization.
12 333 0.428216279379 Henry Cohn, 2026, needs more optimization.
12 336 0.428251484747 Henry Cohn, 2026, needs more optimization.
12 337 0.428309233443 Henry Cohn, 2026, needs more optimization.
12 345 0.428334994615 Henry Cohn, 2026, needs more optimization.
12 346 0.428343438495 Henry Cohn, 2026, needs more optimization.
12 347 0.428434327896 Henry Cohn, 2026, needs more optimization.
12 348 0.429372195458 Henry Cohn, 2026, needs more optimization.
12 349 0.430391482968 Henry Cohn, 2026, needs more optimization.
12 350 0.430719397159 Henry Cohn, 2026, needs more optimization.
12 351 0.430729614104 Henry Cohn, 2026, needs more optimization.
12 352 0.430893185208 Henry Cohn, 2026, needs more optimization.
12 353 0.431000516024 Henry Cohn, 2026, needs more optimization.
12 354 0.431034104104 Henry Cohn, 2026, needs more optimization.
12 355 0.432510713644 Henry Cohn, 2026, needs more optimization.
12 357 0.433481870180 Henry Cohn, 2026, needs more optimization.
12 359 0.434748208346 Henry Cohn, 2026, needs more optimization.
12 363 0.436943084767 Henry Cohn, 2026, needs more optimization.
12 364 0.440646337267 Henry Cohn, 2026, needs more optimization.
12 366 0.440943063591 Henry Cohn, 2026, needs more optimization.
12 368 0.441322369573 Henry Cohn, 2026, needs more optimization.
12 369 0.441778298220 Henry Cohn, 2026, needs more optimization.
12 370 0.441993591991 Henry Cohn, 2026, needs more optimization.
12 371 0.442367443877 Henry Cohn, 2026, needs more optimization.
12 372 0.442406408249 Henry Cohn, 2026, needs more optimization.
12 373 0.442532755470 Henry Cohn, 2026, needs more optimization.
12 374 0.442766841980 Robert Dallara, 2026.
12 375 0.443331353758 Henry Cohn, 2026, needs more optimization.
12 408 0.444444444445 M. Ganzhinov and P. R. J. Östergård, Spherical codes with prescribed signed permutation automorphisms inside shells of low-dimensional integer lattices, IEEE Trans. Inform. Theory 70 (2024), 8669–8674, doi:10.1109/tit.2024.3462593, arXiv:2403.04330.
9⁢x−4
12 409 0.447146015272 Henry Cohn, 2026, needs more optimization.
12 410 0.447927221251 Henry Cohn, 2026, needs more optimization.
12 411 0.448614437203 Henry Cohn, 2026, needs more optimization.
12 412 0.449177209454 Henry Cohn, 2026, needs more optimization.
12 413 0.450127441800 Henry Cohn, 2026, needs more optimization.
12 414 0.450139357821 Henry Cohn, 2026, needs more optimization.
12 415 0.450175037123 Henry Cohn, 2026, needs more optimization.
12 416 0.450350612040 Henry Cohn, 2026, needs more optimization.
12 417 0.450647727317 Henry Cohn, 2026, needs more optimization.
12 418 0.450927541691 Henry Cohn, 2026, needs more optimization.
12 419 0.451165600331 Henry Cohn, 2026, needs more optimization.
12 420 0.451467845750 Henry Cohn, 2026, needs more optimization.
12 421 0.451743720816 Henry Cohn, 2026, needs more optimization.
12 422 0.452043972632 Henry Cohn, 2026, needs more optimization.
12 423 0.452511541264 Henry Cohn, 2026, needs more optimization.
12 425 0.452831021843 Henry Cohn, 2026, needs more optimization.
12 426 0.458828266999 Henry Cohn, 2026, needs more optimization.
12 432 0.460648628677 Henry Cohn, 2026, needs more optimization.
12 433 0.462526145744 Henry Cohn, 2026, needs more optimization.
12 434 0.463941609192 Henry Cohn, 2026, needs more optimization.
12 435 0.464549079249 Henry Cohn, 2026, needs more optimization.
12 436 0.464654964735 Henry Cohn, 2026, needs more optimization.
12 437 0.465590024014 Henry Cohn, 2026, needs more optimization.
12 440 0.465887240449 Henry Cohn, 2026, needs more optimization.
12 441 0.466520006504 Henry Cohn, 2026, needs more optimization.
12 444 0.466542763188 Henry Cohn, 2026, needs more optimization.
12 446 0.467209142126 Henry Cohn, 2026, needs more optimization.
12 447 0.467789714931 Henry Cohn, 2026, needs more optimization.
12 448 0.467957602598 Henry Cohn, 2026, needs more optimization.
12 452 0.468318322693 Henry Cohn, 2026, needs more optimization.
12 453 0.468843577541 Henry Cohn, 2026, needs more optimization.
12 454 0.468928947185 Henry Cohn, 2026, needs more optimization.
12 455 0.469054989759 Henry Cohn, 2026, needs more optimization.
12 456 0.469210310614 Henry Cohn, 2026, needs more optimization.
12 457 0.469574121502 Henry Cohn, 2026, needs more optimization.
12 459 0.469789059640 Henry Cohn, 2026, needs more optimization.
12 460 0.470284005925 Henry Cohn, 2026, needs more optimization.
12 462 0.470344685751 Henry Cohn, 2026, needs more optimization.
12 463 0.470759488683 Henry Cohn, 2026, needs more optimization.
12 464 0.471168844029 Henry Cohn, 2026, needs more optimization.
12 465 0.471246876192 Henry Cohn, 2026, needs more optimization.
12 466 0.471613199141 Henry Cohn, 2026, needs more optimization.
12 469 0.472076080898 Henry Cohn, 2026, needs more optimization.
12 470 0.472535192949 Henry Cohn, 2026, needs more optimization.
12 471 0.472609528062 Henry Cohn, 2026, needs more optimization.
12 472 0.472801357852 Henry Cohn, 2026, needs more optimization.
12 473 0.472812296961 Henry Cohn, 2026, needs more optimization.
12 474 0.472898905335 Henry Cohn, 2026, needs more optimization.
12 475 0.472994368485 Henry Cohn, 2026, needs more optimization.
12 476 0.473049060726 Henry Cohn, 2026, needs more optimization.
12 477 0.473213774108 Henry Cohn, 2026, needs more optimization.
12 478 0.473498946293 Henry Cohn, 2026, needs more optimization.
12 479 0.473614825138 Henry Cohn, 2026, needs more optimization.
12 480 0.473726230834 Henry Cohn, 2026, needs more optimization.
12 481 0.473956877335 Henry Cohn, 2026, needs more optimization.
12 483 0.474195023028 Henry Cohn, 2026, needs more optimization.
12 484 0.474663577513 Henry Cohn, 2026, needs more optimization.
12 485 0.474719103764 Henry Cohn, 2026, needs more optimization.
12 486 0.474836703716 Henry Cohn, 2026, needs more optimization.
12 487 0.474982770250 Henry Cohn, 2026, needs more optimization.
12 488 0.475227656106 Henry Cohn, 2026, needs more optimization.
12 489 0.475976767436 Henry Cohn, 2026, needs more optimization.
12 490 0.476004069601 Henry Cohn, 2026, needs more optimization.
12 492 0.476084999154 Henry Cohn, 2026, needs more optimization.
12 493 0.476382163780 Henry Cohn, 2026, needs more optimization.
12 494 0.476540760976 Henry Cohn, 2026, needs more optimization.
12 496 0.476551747048 Henry Cohn, 2026, needs more optimization.
12 499 0.476815440852 Henry Cohn, 2026, needs more optimization.
12 501 0.477276720167 Henry Cohn, 2026, needs more optimization.
12 503 0.477681245233 Henry Cohn, 2026, needs more optimization.
12 504 0.478165717551 Henry Cohn, 2026, needs more optimization.
12 505 0.478464412044 Henry Cohn, 2026, needs more optimization.
12 506 0.478480975261 Henry Cohn, 2026, needs more optimization.
12 507 0.478767476872 Henry Cohn, 2026, needs more optimization.
12 509 0.478834931547 Henry Cohn, 2026, needs more optimization.
12 510 0.479099207102 Henry Cohn, 2026, needs more optimization.
12 511 0.479137292166 Henry Cohn, 2026, needs more optimization.
12 513 0.479349101392 Henry Cohn, 2026, needs more optimization.
12 516 0.479727656188 Henry Cohn, 2026, needs more optimization.
12 517 0.480061866681 Henry Cohn, 2026, needs more optimization.
12 518 0.480158570904 Henry Cohn, 2026, needs more optimization.
12 519 0.480424824851 Henry Cohn, 2026, needs more optimization.
12 520 0.480533922364 Henry Cohn, 2026, needs more optimization.
12 522 0.480865142850 Henry Cohn, 2026, needs more optimization.
12 525 0.481299106283 Henry Cohn, 2026, needs more optimization.
12 526 0.481769803236 Henry Cohn, 2026, needs more optimization.
12 528 0.481816820101 Henry Cohn, 2026, needs more optimization.
12 532 0.482116378397 Henry Cohn, 2026, needs more optimization.
12 533 0.482692117138 Henry Cohn, 2026, needs more optimization.
12 534 0.482746350332 Henry Cohn, 2026, needs more optimization.
12 535 0.482901060795 Henry Cohn, 2026, needs more optimization.
12 536 0.483030815454 Henry Cohn, 2026, needs more optimization.
12 537 0.483093289832 Henry Cohn, 2026, needs more optimization.
12 538 0.483221830783 Henry Cohn, 2026, needs more optimization.
12 539 0.483225069254 Robert Dallara, 2026.
12 542 0.483383241512 Henry Cohn, 2026, needs more optimization.
12 543 0.483747740671 Henry Cohn, 2026, needs more optimization.
12 544 0.483881066023 Henry Cohn, 2026, needs more optimization.
12 545 0.483951730986 Henry Cohn, 2026, needs more optimization.
12 546 0.484044805290 Henry Cohn, 2026, needs more optimization.
12 547 0.484339403931 Henry Cohn, 2026, needs more optimization.
12 550 0.484546458062 Henry Cohn, 2026, needs more optimization.
12 551 0.485174189941 Henry Cohn, 2026, needs more optimization.
12 552 0.485305151699 Henry Cohn, 2026, needs more optimization.
12 553 0.485357245534 Henry Cohn, 2026, needs more optimization.
12 554 0.485573179304 Henry Cohn, 2026, needs more optimization.
12 559 0.485613618490 Henry Cohn, 2026, needs more optimization.
12 561 0.486060884014 Robert Dallara, 2026.
12 562 0.486315038610 Henry Cohn, 2026, needs more optimization.
12 563 0.486509755811 Henry Cohn, 2026, needs more optimization.
12 564 0.486579607673 Henry Cohn, 2026, needs more optimization.
12 565 0.486656915666 Henry Cohn, 2026, needs more optimization.
12 566 0.486739042624 Henry Cohn, 2026, needs more optimization.
12 567 0.486788172411 Henry Cohn, 2026, needs more optimization.
12 568 0.486971831425 Henry Cohn, 2026, needs more optimization.
12 569 0.487087738483 Henry Cohn, 2026, needs more optimization.
12 573 0.487215861246 Henry Cohn, 2026, needs more optimization.
12 578 0.487591818970 Henry Cohn, 2026, needs more optimization.
12 579 0.488252723457 Henry Cohn, 2026, needs more optimization.
12 580 0.488291859999 Henry Cohn, 2026, needs more optimization.
12 581 0.488318062135 Henry Cohn, 2026, needs more optimization.
12 582 0.488342342748 Henry Cohn, 2026, needs more optimization.
12 587 0.488373831497 Henry Cohn, 2026, needs more optimization.
12 588 0.488884345214 Henry Cohn, 2026, needs more optimization.
12 589 0.488950625109 Henry Cohn, 2026, needs more optimization.
12 596 0.489061829078 Henry Cohn, 2026, needs more optimization.
12 599 0.489506634944 Henry Cohn, 2026, needs more optimization.
12 600 0.489606446919 Henry Cohn, 2026, needs more optimization.
12 604 0.489812437168 Henry Cohn, 2026, needs more optimization.
12 605 0.490269409432 Henry Cohn, 2026, needs more optimization.
12 606 0.490336463498 Henry Cohn, 2026, needs more optimization.
12 607 0.490462707436 Henry Cohn, 2026, needs more optimization.
12 608 0.490481842483 Henry Cohn, 2026, needs more optimization.
12 609 0.490532193097 Henry Cohn, 2026, needs more optimization.
12 610 0.490597363326 Henry Cohn, 2026, needs more optimization.
12 611 0.490684822249 Henry Cohn, 2026, needs more optimization.
12 612 0.490701788367 Henry Cohn, 2026, needs more optimization.
12 613 0.490898536298 Henry Cohn, 2026, needs more optimization.
12 614 0.490937558450 Henry Cohn, 2026, needs more optimization.
12 615 0.491014952501 Henry Cohn, 2026, needs more optimization.
12 616 0.491189933426 Henry Cohn, 2026, needs more optimization.
12 617 0.491316568539 Henry Cohn, 2026, needs more optimization.
12 618 0.491403940847 Henry Cohn, 2026, needs more optimization.
12 619 0.491419863162 Henry Cohn, 2026, needs more optimization.
12 620 0.491571513499 Henry Cohn, 2026, needs more optimization.
12 621 0.491650710653 Henry Cohn, 2026, needs more optimization.
12 622 0.491714100140 Henry Cohn, 2026, needs more optimization.
12 623 0.491745446521 Henry Cohn, 2026, needs more optimization.
12 624 0.491799904248 Henry Cohn, 2026, needs more optimization.
12 625 0.491851336249 Henry Cohn, 2026, needs more optimization.
12 626 0.491910697007 Henry Cohn, 2026, needs more optimization.
12 627 0.491950888094 Henry Cohn, 2026, needs more optimization.
12 628 0.492032475509 Henry Cohn, 2026, needs more optimization.
12 629 0.492052938113 Henry Cohn, 2026, needs more optimization.
12 630 0.492087251476 Henry Cohn, 2026, needs more optimization.
12 631 0.492142648651 Henry Cohn, 2026, needs more optimization.
12 632 0.492156260762 Henry Cohn, 2026, needs more optimization.
12 633 0.492158889995 Henry Cohn, 2026, needs more optimization.
12 634 0.492210925675 Henry Cohn, 2026, needs more optimization.
12 635 0.492308085115 Henry Cohn, 2026, needs more optimization.
12 636 0.492350061936 Henry Cohn, 2026, needs more optimization.
12 637 0.492373203860 Henry Cohn, 2026, needs more optimization.
12 638 0.492376819608 Henry Cohn, 2026, needs more optimization.
12 639 0.492428082818 Henry Cohn, 2026, needs more optimization.
12 640 0.492492111961 Henry Cohn, 2026, needs more optimization.
12 642 0.492523427771 Henry Cohn, 2026, needs more optimization.
12 643 0.492547310675 Henry Cohn, 2026, needs more optimization.
12 644 0.492657147292 Henry Cohn, 2026, needs more optimization.
12 645 0.492707690167 Henry Cohn, 2026, needs more optimization.
12 646 0.492757783920 Henry Cohn, 2026, needs more optimization.
12 647 0.492853290968 Henry Cohn, 2026, needs more optimization.
12 648 0.493225821611 Henry Cohn, 2026, needs more optimization.
12 649 0.493305880020 Henry Cohn, 2026, needs more optimization.
12 650 0.493331897271 Henry Cohn, 2026, needs more optimization.
12 651 0.493391818272 Henry Cohn, 2026, needs more optimization.
12 652 0.493414677018 Henry Cohn, 2026, needs more optimization.
12 653 0.493456291964 Henry Cohn, 2026, needs more optimization.
12 654 0.493464195347 Henry Cohn, 2026, needs more optimization.
12 655 0.493581031514 Henry Cohn, 2026, needs more optimization.
12 656 0.493608576851 Henry Cohn, 2026, needs more optimization.
12 657 0.493627243362 Henry Cohn, 2026, needs more optimization.
12 658 0.493746607931 Henry Cohn, 2026, needs more optimization.
12 659 0.493790182792 Henry Cohn, 2026, needs more optimization.
12 660 0.493819948517 Henry Cohn, 2026, needs more optimization.
12 661 0.493872164226 Henry Cohn, 2026, needs more optimization.
12 662 0.493926706729 Henry Cohn, 2026, needs more optimization.
12 663 0.493967642188 Henry Cohn, 2026, needs more optimization.
12 664 0.494073891438 Henry Cohn, 2026, needs more optimization.
12 665 0.494216903636 Henry Cohn, 2026, needs more optimization.
12 666 0.494266778089 Henry Cohn, 2026, needs more optimization.
12 667 0.494297724370 Henry Cohn, 2026, needs more optimization.
12 668 0.494333543678 Henry Cohn, 2026, needs more optimization.
12 669 0.494382205795 Henry Cohn, 2026, needs more optimization.
12 670 0.494519589536 Henry Cohn, 2026, needs more optimization.
12 671 0.494558055895 Henry Cohn, 2026, needs more optimization.
12 672 0.494615435567 Henry Cohn, 2026, needs more optimization.
12 673 0.494657360012 Henry Cohn, 2026, needs more optimization.
12 674 0.494664539117 Henry Cohn, 2026, needs more optimization.
12 675 0.494675352036 Henry Cohn, 2026, needs more optimization.
12 676 0.494681270008 Henry Cohn, 2026, needs more optimization.
12 677 0.494703057786 Henry Cohn, 2026, needs more optimization.
12 678 0.494724865260 Henry Cohn, 2026, needs more optimization.
12 679 0.494813839602 Henry Cohn, 2026, needs more optimization.
12 680 0.494849053814 Henry Cohn, 2026, needs more optimization.
12 681 0.494892476206 Henry Cohn, 2026, needs more optimization.
12 682 0.494992762633 Henry Cohn, 2026, needs more optimization.
12 683 0.495068793847 Henry Cohn, 2026, needs more optimization.
12 684 0.495092803543 Henry Cohn, 2026, needs more optimization.
12 685 0.495104221458 Henry Cohn, 2026, needs more optimization.
12 686 0.495125525390 Henry Cohn, 2026, needs more optimization.
12 687 0.495148955679 Henry Cohn, 2026, needs more optimization.
12 688 0.495231111609 Henry Cohn, 2026, needs more optimization.
12 689 0.495306390790 Henry Cohn, 2026, needs more optimization.
12 690 0.495364528176 Henry Cohn, 2026, needs more optimization.
12 691 0.495423517652 Henry Cohn, 2026, needs more optimization.
12 692 0.495454953110 Henry Cohn, 2026, needs more optimization.
12 693 0.495521919803 Henry Cohn, 2026, needs more optimization.
12 694 0.495536328599 Henry Cohn, 2026, needs more optimization.
12 695 0.495564194243 Henry Cohn, 2026, needs more optimization.
12 696 0.495585988750 Henry Cohn, 2026, needs more optimization.
12 697 0.495631906049 Henry Cohn, 2026, needs more optimization.
12 698 0.495660925022 Henry Cohn, 2026, needs more optimization.
12 700 0.495716303506 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 701 0.495719312675 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 702 0.495720118270 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 703 0.495722806784 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 704 0.495727692869 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 705 0.495733765396 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 706 0.495735219613 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 707 0.495735876223 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 708 0.495740262437 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 709 0.495741552238 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 710 0.495743411814 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 711 0.495753542020 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 712 0.495761907422 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 713 0.495792674827 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 714 0.495806186906 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 715 0.495807751126 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 716 0.495810003933 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 717 0.495814942338 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 718 0.495816897442 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 719 0.495820140338 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 720 0.495830099702 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 721 0.495834638155 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 722 0.495837218069 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 723 0.495839104060 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 724 0.495839684117 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 725 0.495847365106 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 726 0.495847895544 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 727 0.495856658074 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 728 0.495859151565 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 729 0.495877691454 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 730 0.495883667288 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 731 0.495887414613 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 732 0.495887419626 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 733 0.495887549812 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 734 0.495890504912 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 747 0.495890987014 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 748 0.495893183533 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 749 0.495893725420 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 750 0.495895972259 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 751 0.495898478507 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 752 0.495900120643 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 753 0.495900973093 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 754 0.495901815904 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 755 0.495902297077 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 756 0.495903394176 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 758 0.495904276715 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 759 0.495905855364 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 760 0.495909962334 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 761 0.495911883629 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 762 0.495912967389 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 763 0.495914549890 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 764 0.495916190443 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 765 0.495917089852 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 766 0.495918060991 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 767 0.495919992244 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 768 0.495921007480 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 770 0.495928459408 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 771 0.495928620573 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 772 0.495929228813 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 773 0.495929539377 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 774 0.495930630055 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 775 0.495930884561 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 776 0.495934624622 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 777 0.495939445945 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 778 0.495942599211 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 779 0.495943229358 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 780 0.495947077664 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 781 0.495964157916 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 782 0.495973819314 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 783 0.496027291378 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 784 0.496031184562 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 785 0.496033902247 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 786 0.496036264975 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 787 0.496042499682 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 788 0.496045837586 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 789 0.496049728678 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 790 0.496050391206 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 791 0.496052860521 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 792 0.496113131743 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 793 0.496171870769 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 794 0.496185669522 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 795 0.496193580026 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 796 0.496196975717 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 797 0.496198047690 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 798 0.496198551966 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 799 0.496638406062 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 800 0.496681970826 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 801 0.497243295431 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 802 0.497272936007 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 803 0.497404059695 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 804 0.497711061180 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 805 0.497752304100 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 806 0.497884517896 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 807 0.498049149659 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 808 0.498061992020 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 809 0.498092386988 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 810 0.498277634091 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 811 0.498335240352 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 812 0.498343222964 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 813 0.498352517608 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 814 0.498360740405 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 815 0.498362057534 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 816 0.498394986010 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 817 0.498401219584 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 818 0.498406984175 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 819 0.498412793942 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 820 0.498441420377 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 821 0.498443401191 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 822 0.498447907548 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 823 0.498450154574 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 824 0.498455656538 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 825 0.498475210477 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 826 0.498497511689 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 827 0.498505656942 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 828 0.498515855744 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 829 0.498520530078 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 830 0.498649167924 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 831 0.498695679609 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 832 0.498764703918 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 833 0.498771690167 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 834 0.498840424247 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 835 0.498866497189 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 836 0.498873906967 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 837 0.498896861768 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 838 0.498950215865 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 839 0.498954599906 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 840 0.499711582800 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 841 0.499999937579 Henry Cohn, 2026, needs more optimization.
12 842 0.500899990718 Henry Cohn, 2026, needs more optimization.
12 843 0.503237075349 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 844 0.504401012175 Henry Cohn, 2026, needs more optimization.
12 845 0.505905064596 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 846 0.506628789902 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 847 0.507513825954 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 848 0.508301607948 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 849 0.508582934281 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 850 0.509816206998 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 851 0.510751954758 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 852 0.511401014313 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 853 0.512508193831 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 854 0.512795139707 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 855 0.513201784080 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 856 0.513806622731 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 861 0.514182390546 Henry Cohn, 2026, needs more optimization.
12 869 0.514186049261 Henry Cohn, 2026, needs more optimization.
12 870 0.515596845331 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 871 0.515596897096 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 872 0.516110100543 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 873 0.517042927338 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 874 0.517045497975 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 875 0.517194714101 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 876 0.517195071874 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 877 0.517195968361 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 878 0.517196232266 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 879 0.517196509095 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 880 0.517196576136 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 881 0.517710171615 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 882 0.517763818574 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 883 0.519496762025 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 884 0.521633821758 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 885 0.522329703069 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 886 0.522529017022 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 887 0.522552251076 Henry Cohn, 2026, needs more optimization.
12 888 0.522921491505 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 889 0.523055729818 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 890 0.523200092836 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 891 0.523832336824 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 894 0.523927335313 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 897 0.523994873200 Henry Cohn, 2026, needs more optimization.
12 898 0.524341681184 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 899 0.524392486984 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 900 0.524560375054 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 902 0.525300029186 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 903 0.525306328181 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 904 0.525306465515 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 905 0.525803408049 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 906 0.525925124690 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 907 0.526598159178 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 908 0.526829191895 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 909 0.526891363151 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 910 0.527008546228 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 911 0.527082521310 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 912 0.527241931837 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 913 0.527328723178 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 919 0.527426736166 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 920 0.527887857670 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 921 0.528123036173 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 922 0.528153831615 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 923 0.528217885278 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 925 0.528236524654 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 926 0.528253081172 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 927 0.528313998937 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 928 0.528327838024 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 929 0.528334905171 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 930 0.528350069434 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 931 0.528361461889 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 932 0.528918265964 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 933 0.529113514491 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 934 0.529462118014 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 935 0.529529658153 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 936 0.529575703734 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 937 0.529604557176 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 938 0.529879555674 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 939 0.530577461258 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 940 0.530652074199 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 941 0.531052056506 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 942 0.531285310124 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 943 0.531654252787 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 944 0.531852921228 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 945 0.532270081051 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 949 0.533402870420 Henry Cohn, 2026, needs more optimization.
12 950 0.533714776622 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 951 0.533778422210 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 952 0.533849321052 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 954 0.534149514526 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 955 0.534404509073 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 956 0.534428549125 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 957 0.534812058457 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 958 0.534982374234 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 959 0.535326251302 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 960 0.535349563307 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 961 0.535899003584 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 962 0.536186135615 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 963 0.536278162757 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 964 0.536477243962 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 965 0.536716617264 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 966 0.537176952632 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 967 0.537215216043 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 968 0.537459313519 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 969 0.537598901831 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 970 0.537762789888 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 971 0.538381832141 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 972 0.538400397359 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 973 0.538471472939 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 974 0.538792806027 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 975 0.538933904906 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 976 0.538942990429 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 977 0.539009716854 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 978 0.539142483726 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 979 0.539215883731 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 980 0.539292130021 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 981 0.539377939373 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 982 0.539712860102 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 983 0.539826737191 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 984 0.539924699087 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 985 0.540073065405 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 986 0.540143505669 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 987 0.541000373123 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 988 0.541115087625 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 990 0.541218158669 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 991 0.541339080243 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 992 0.541496760733 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 993 0.541605687417 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 994 0.541727866817 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 995 0.541783057094 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 996 0.541878333730 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 997 0.541984267572 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 998 0.542102854711 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
12 1024 0.546918160679 Kevin Li, 2026.
7⁢x2−2⁢x−1
13 27 0.057072523783 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
1573⁢x3−169⁢x2−13⁢x+1
13 28 0.066666666667 T. Ericson and V. Zinoviev, Spherical codes generated by binary partitions of symmetric pointsets, IEEE Trans. Inform. Theory 41 (1995), 107–129, doi:10.1109/18.370114.
15⁢x−1
13 29 0.068098609479 H. Cohn, Small spherical and projective codes, data set, 2022, DSpace@MIT, https://hdl.handle.net/1721.1/142661.
2576⁢x4−640⁢x3−184⁢x2+1
13 30 0.071714034728 H. Cohn, Small spherical and projective codes, data set, 2022, DSpace@MIT, https://hdl.handle.net/1721.1/142661.
55⁢x2+10⁢x−1
13 31 0.071714034728 H. Cohn, Small spherical and projective codes, data set, 2022, DSpace@MIT, https://hdl.handle.net/1721.1/142661.
55⁢x2+10⁢x−1
13 32 0.071714034728 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
55⁢x2+10⁢x−1
13 33 0.089833578043 Henry Cohn, 2026.
13 34 0.090095382331 Henry Cohn, 2023.
13 36 0.092610094433 H. Cohn, D. de Laat, and N. Leijenhorst, Optimality of spherical codes via exact semidefinite programming bounds, preprint, 2024, arXiv:2403.16874.
95⁢x2+2⁢x−1
13 37 0.111409136725 Henry Cohn, 2023.
13 38 0.112004618870 Henry Cohn, 2023.
44⁢x2+4⁢x−1
13 39 0.116893063508 Henry Cohn, 2024.
13 40 0.121353571480 Henry Cohn, 2026.
13 41 0.124055818526 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
13 42 0.125 T. Ericson and V. Zinoviev, Spherical codes generated by binary partitions of symmetric pointsets, IEEE Trans. Inform. Theory 41 (1995), 107–129, doi:10.1109/18.370114.
8⁢x−1
13 44 0.126079252818 Henry Cohn, 2025.
6095⁢x2−126⁢x−81
13 48 0.126131983623 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
47⁢x2+2⁢x−1
13 49 0.141095436175 Henry Cohn, 2025.
13 50 0.142459427551 Henry Cohn, 2023.
Minimal polynomial listed in plain text data
13 51 0.145120831484 Henry Cohn, 2023.
Minimal polynomial listed in plain text data
13 52 0.147159522238 Henry Cohn, 2023.
613567⁢x7+96585⁢x6−98333⁢x5−8219⁢x4+381⁢x3+539⁢x2+33⁢x−9
13 53 0.147908231498 Henry Cohn, 2026.
13 54 0.148576022240 Henry Cohn, 2025.
13 55 0.148805252884 Henry Cohn, 2024.
13 56 0.148975682089 Henry Cohn, 2023.
13 57 0.166162190421 Henry Cohn, 2024.
13 60 0.171378280884 Luke Granto, 2026.
1196⁢x4−1428⁢x3+411⁢x2+18⁢x−9
13 61 0.177435551107 Henry Cohn, 2026, needs more optimization.
13 62 0.179872103330 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
13 66 0.180076545649 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
197541⁢x6−1327980⁢x5+842815⁢x4+93800⁢x3−58725⁢x2+500⁢x+625
13 67 0.183425281073 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
13 68 0.185161141336 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
6⁢x3+283⁢x2−4⁢x−9
13 69 0.192954195111 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
13 70 0.201822978078 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
13 71 0.204507858381 Henry Cohn, 2026, needs more optimization.
13 72 0.205422579377 Antoine Olivier, 2026.
13 73 0.207434422294 Henry Cohn, 2026, needs more optimization.
13 74 0.208757494799 Henry Cohn, 2026, needs more optimization.
13 75 0.209830747287 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
13 76 0.210889671670 Henry Cohn, 2026, needs more optimization.
13 77 0.211602349074 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
13 84 0.214312873432 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
156001⁢x4−83068⁢x3+2534⁢x2+1732⁢x+1
13 85 0.222890239859 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
13 86 0.227472980930 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
13 87 0.233420853413 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
13 88 0.234760407328 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
13 89 0.237891400437 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
13 90 0.241063934379 Henry Cohn, 2026, needs more optimization.
13 91 0.241934021280 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
13 92 0.242876105918 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
13 93 0.243647549633 Henry Cohn, 2026, needs more optimization.
13 94 0.244075595552 Henry Cohn, 2026, needs more optimization.
13 95 0.244097856927 Henry Cohn, 2026, needs more optimization.
13 96 0.244263638139 Henry Cohn, 2026, needs more optimization.
13 97 0.244358041009 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
13 98 0.244461920573 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
13 99 0.244891662330 Henry Cohn, 2026, needs more optimization.
13 100 0.246669288331 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
13 101 0.249341456786 Henry Cohn, 2026.
13 104 0.25 J. H. Conway, R. H. Hardin, and N. J. A. Sloane, Packing lines, planes, etc.: packings in Grassmannian spaces, Experiment. Math. 5 (1996), 139–159, https://projecteuclid.org/euclid.em/1047565645; T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
4⁢x−1
13 106 0.251575083557 Henry Cohn, 2026.
1031⁢x2−160⁢x−25
13 107 0.257276958698 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
13 108 0.258154822753 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
13 109 0.258529012806 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
13 110 0.258944353457 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
13 111 0.259510876672 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
13 112 0.260459144444 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
13 113 0.261281196369 Arhan Canli, 2026.
13 114 0.263092922077 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
13 115 0.264237646845 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
13 116 0.265769989214 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
13 117 0.267439833565 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
13 118 0.269171781398 Henry Cohn, 2026, needs more optimization.
13 119 0.270144839056 Henry Cohn, 2026, needs more optimization.
13 120 0.271249760569 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
13 121 0.271315922618 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
13 122 0.271455594866 Arhan Canli, 2026.
13 123 0.272084533350 Arhan Canli, 2026.
13 124 0.275380071346 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
13 125 0.276023194131 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
13 126 0.276108779728 Arhan Canli, 2026.
13 127 0.277969217270 Arhan Canli, 2026.
13 128 0.280087878273 Arhan Canli, 2026.
13 129 0.282297546632 Arhan Canli, 2026.
13 130 0.284579031159 Henry Cohn, 2026, needs more optimization.
13 131 0.285522656248 Arhan Canli, 2026.
13 132 0.285875352542 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
13 133 0.286588654159 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
13 134 0.287958935303 Henry Cohn, 2026, needs more optimization.
13 135 0.289042309432 Arhan Canli, 2026.
13 136 0.289763008880 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
13 137 0.290794448960 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
13 138 0.291248136063 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
13 139 0.291298832564 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
13 140 0.294819761640 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
13 141 0.295463243126 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
13 142 0.296142896294 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
13 154 0.296449269170 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
183325⁢x4−90460⁢x3+8458⁢x2+636⁢x+9
13 176 0.299119474480 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
49⁢x2−18⁢x+1
13 177 0.302065124750 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
13 178 0.304508904452 Arhan Canli, 2026.
13 179 0.307960870833 Arhan Canli, 2026.
13 180 0.311628110723 Arhan Canli, 2026.
13 181 0.312114455344 Arhan Canli, 2026.
13 182 0.313027160918 Arhan Canli, 2026.
13 183 0.313493747276 Arhan Canli, 2026.
13 184 0.313910990737 Arhan Canli, 2026.
13 185 0.315625127121 Arhan Canli, 2026.
13 186 0.316769716785 Arhan Canli, 2026.
13 187 0.318000376637 Arhan Canli, 2026.
13 188 0.319706789974 Arhan Canli, 2026.
13 189 0.320564196103 Arhan Canli, 2026.
13 190 0.322028042553 Arhan Canli, 2026.
13 191 0.324070158510 Arhan Canli, 2026.
13 192 0.327072074224 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
13 193 0.327404117661 Arhan Canli, 2026.
13 194 0.327612926328 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
13 195 0.327698212922 Arhan Canli, 2026.
13 196 0.327953246379 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
13 197 0.328231571972 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
13 198 0.328497512673 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
13 199 0.328793304095 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
13 200 0.328886220832 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
13 201 0.329094065372 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
13 202 0.329150216336 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
13 203 0.331688526164 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
13 208 0.333333333334 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
3⁢x−1
13 209 0.339851756282 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
13 210 0.340650446016 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
13 211 0.342822992176 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
13 212 0.343240085348 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
13 213 0.343248434239 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
13 214 0.343250007197 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
13 215 0.343257191106 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
13 216 0.343266349722 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
13 217 0.343268572808 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
13 218 0.343285757885 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
13 219 0.344395594904 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
13 220 0.346073882890 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
13 221 0.349465928624 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
13 222 0.353037108766 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
13 223 0.358789771046 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
13 224 0.359154379350 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
13 225 0.359294983427 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
13 226 0.362861653608 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
13 227 0.363646196076 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
13 228 0.364489212037 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
13 229 0.365491735271 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
13 230 0.365968457694 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
13 231 0.366950467054 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
13 232 0.367413068185 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
13 233 0.368378420609 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
13 240 0.368421052632 C. Ma, T. Tao Z., P. Li, M. Liu, H. Chen, Z. Mao, Y. Cheng, Y. Qi, and Y. Yang, Finding kissing numbers with game-theoretic reinforcement learning, preprint, 2025, arXiv:2511.13391.
19⁢x−7
13 249 0.368421052632 Henry Cohn, 2026.
19⁢x−7
13 250 0.371984616236 Arhan Canli, 2026.
13 251 0.372861834590 Arhan Canli, 2026.
13 252 0.374406293058 Arhan Canli, 2026.
13 253 0.374673117165 Arhan Canli, 2026.
13 291 0.376384967370 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
23⁢x2−6⁢x−1
13 292 0.380115953220 Henry Cohn, 2026, needs more optimization.
13 293 0.380268417311 Henry Cohn, 2026, needs more optimization.
13 294 0.382297676165 Henry Cohn, 2026, needs more optimization.
13 295 0.383227061968 Henry Cohn, 2026, needs more optimization.
13 296 0.383901531520 Henry Cohn, 2026, needs more optimization.
13 306 0.384615384616 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
13⁢x−5
13 313 0.384615384616 M. Ganzhinov and P. R. J. Östergård, Spherical codes with prescribed signed permutation automorphisms inside shells of low-dimensional integer lattices, IEEE Trans. Inform. Theory 70 (2024), 8669–8674, doi:10.1109/tit.2024.3462593, arXiv:2403.04330.
13⁢x−5
13 314 0.389008087427 Henry Cohn, 2026, needs more optimization.
13 315 0.391819384383 Henry Cohn, 2026, needs more optimization.
13 316 0.393355692698 Henry Cohn, 2026, needs more optimization.
13 317 0.393951272587 Henry Cohn, 2026, needs more optimization.
13 318 0.395056840224 Henry Cohn, 2026, needs more optimization.
13 319 0.396076693900 Henry Cohn, 2026, needs more optimization.
13 320 0.396286369473 Henry Cohn, 2026, needs more optimization.
13 322 0.397557912677 Henry Cohn, 2026, needs more optimization.
13 336 0.4 M. Ganzhinov and P. R. J. Östergård, Spherical codes with prescribed signed permutation automorphisms inside shells of low-dimensional integer lattices, IEEE Trans. Inform. Theory 70 (2024), 8669–8674, doi:10.1109/tit.2024.3462593, arXiv:2403.04330.
5⁢x−2
13 337 0.4 Henry Cohn, 2026.
5⁢x−2
13 339 0.4 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
5⁢x−2
13 340 0.405512517945 Henry Cohn, 2026, needs more optimization.
13 341 0.406799081751 Henry Cohn, 2026, needs more optimization.
13 342 0.406919847715 Henry Cohn, 2026, needs more optimization.
13 343 0.407033884596 Henry Cohn, 2026, needs more optimization.
13 344 0.407228485181 Henry Cohn, 2026, needs more optimization.
13 345 0.407418580311 Henry Cohn, 2026, needs more optimization.
13 346 0.407527926381 Henry Cohn, 2026, needs more optimization.
13 347 0.408502603369 Henry Cohn, 2026, needs more optimization.
13 348 0.408573054730 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
13 349 0.409025872645 Henry Cohn, 2026, needs more optimization.
13 350 0.409937755605 Henry Cohn, 2026, needs more optimization.
13 351 0.411013164483 Henry Cohn, 2026, needs more optimization.
13 352 0.411767533923 Henry Cohn, 2026, needs more optimization.
13 353 0.412542717079 Henry Cohn, 2026, needs more optimization.
13 357 0.413337640545 Henry Cohn, 2026, needs more optimization.
13 358 0.415642396259 Henry Cohn, 2026, needs more optimization.
13 359 0.415992187692 Henry Cohn, 2026, needs more optimization.
13 360 0.416431424180 Henry Cohn, 2026, needs more optimization.
13 383 0.416666666667 Henry Cohn, 2026.
12⁢x−5
13 385 0.419421119330 Henry Cohn, 2026, needs more optimization.
13 386 0.421197759309 Henry Cohn, 2026, needs more optimization.
13 387 0.421359027300 Henry Cohn, 2026, needs more optimization.
13 388 0.422308878448 Henry Cohn, 2026, needs more optimization.
13 389 0.423826644435 Henry Cohn, 2026, needs more optimization.
13 390 0.424212501433 Henry Cohn, 2026, needs more optimization.
13 391 0.424689149266 Henry Cohn, 2026, needs more optimization.
13 392 0.425193427712 Henry Cohn, 2026, needs more optimization.
13 393 0.425962387725 Henry Cohn, 2026, needs more optimization.
13 394 0.426077749377 Henry Cohn, 2026, needs more optimization.
13 395 0.427199131406 Henry Cohn, 2026, needs more optimization.
13 396 0.427805091195 Henry Cohn, 2026, needs more optimization.
13 397 0.427861947152 Henry Cohn, 2026, needs more optimization.
13 416 0.428571428572 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
7⁢x−3
13 492 0.428571428572 M. Ganzhinov and P. R. J. Östergård, Spherical codes with prescribed signed permutation automorphisms inside shells of low-dimensional integer lattices, IEEE Trans. Inform. Theory 70 (2024), 8669–8674, doi:10.1109/tit.2024.3462593, arXiv:2403.04330.
7⁢x−3
13 498 0.428571428572 Henry Cohn, 2026.
7⁢x−3
13 499 0.428679829253 Henry Cohn, 2026, needs more optimization.
13 500 0.429496475409 Henry Cohn, 2026, needs more optimization.
13 501 0.429501240552 Henry Cohn, 2026, needs more optimization.
13 502 0.429673373376 Henry Cohn, 2026, needs more optimization.
13 503 0.429681978011 Henry Cohn, 2026, needs more optimization.
13 504 0.429684844186 Henry Cohn, 2026, needs more optimization.
13 505 0.433950769314 Robert Dallara, 2026.
13 512 0.434218877569 Henry Cohn, 2026, needs more optimization.
13 527 0.434245563398 Henry Cohn, 2026, needs more optimization.
13 531 0.434249774031 Henry Cohn, 2026, needs more optimization.
13 533 0.434257342626 Robert Dallara, 2026.
13 540 0.435541081501 Henry Cohn, 2026, needs more optimization.
13 549 0.436168329627 Henry Cohn, 2026, needs more optimization.
13 550 0.438455047371 Henry Cohn, 2026, needs more optimization.
13 551 0.438791524294 Henry Cohn, 2026, needs more optimization.
13 552 0.439235314229 Henry Cohn, 2026, needs more optimization.
13 553 0.440469009402 Henry Cohn, 2026, needs more optimization.
13 554 0.441309113313 Henry Cohn, 2026, needs more optimization.
13 555 0.441874690726 Henry Cohn, 2026, needs more optimization.
13 556 0.443341188504 Henry Cohn, 2026, needs more optimization.
13 557 0.444272362074 Henry Cohn, 2026, needs more optimization.
13 558 0.444596973982 Henry Cohn, 2026, needs more optimization.
13 560 0.445042096954 Robert Dallara, 2026.
13 567 0.447407636974 Henry Cohn, 2026, needs more optimization.
13 569 0.448726244371 Robert Dallara, 2026.
13 570 0.451277019046 Henry Cohn, 2026, needs more optimization.
13 574 0.451319375983 Henry Cohn, 2026, needs more optimization.
13 575 0.453179627018 Henry Cohn, 2026, needs more optimization.
13 576 0.453568434241 Henry Cohn, 2026, needs more optimization.
13 578 0.454545454546 M. Ganzhinov and P. R. J. Östergård, Spherical codes with prescribed signed permutation automorphisms inside shells of low-dimensional integer lattices, IEEE Trans. Inform. Theory 70 (2024), 8669–8674, doi:10.1109/tit.2024.3462593, arXiv:2403.04330.
11⁢x−5
13 580 0.457490358319 Henry Cohn, 2026, needs more optimization.
13 582 0.457510279900 Henry Cohn, 2026, needs more optimization.
13 587 0.458123894362 Henry Cohn, 2026, needs more optimization.
13 591 0.459391157170 Henry Cohn, 2026, needs more optimization.
13 592 0.459465263532 Henry Cohn, 2026, needs more optimization.
13 593 0.459974562278 Henry Cohn, 2026, needs more optimization.
13 594 0.461590582262 Henry Cohn, 2026, needs more optimization.
13 595 0.462099879947 Henry Cohn, 2026, needs more optimization.
13 596 0.462841842859 Henry Cohn, 2026, needs more optimization.
13 599 0.463667922369 Henry Cohn, 2026, needs more optimization.
13 600 0.465353573011 Henry Cohn, 2026, needs more optimization.
13 601 0.465656850288 Henry Cohn, 2026, needs more optimization.
13 602 0.466218389859 Henry Cohn, 2026, needs more optimization.
13 603 0.466256997785 Henry Cohn, 2026, needs more optimization.
13 604 0.466277367275 Henry Cohn, 2026, needs more optimization.
13 605 0.466303753029 Henry Cohn, 2026, needs more optimization.
13 606 0.466322934268 Henry Cohn, 2026, needs more optimization.
13 608 0.466440465580 Henry Cohn, 2026, needs more optimization.
13 609 0.466527836157 Henry Cohn, 2026, needs more optimization.
13 610 0.466539216705 Henry Cohn, 2026, needs more optimization.
13 611 0.466546738160 Henry Cohn, 2026, needs more optimization.
13 612 0.466558339500 Henry Cohn, 2026, needs more optimization.
13 614 0.466609677626 Robert Dallara, 2026.
13 615 0.466837883438 Henry Cohn, 2026, needs more optimization.
13 616 0.466848954766 Henry Cohn, 2026, needs more optimization.
13 617 0.466909779377 Henry Cohn, 2026, needs more optimization.
13 618 0.466923654757 Henry Cohn, 2026, needs more optimization.
13 619 0.467055927493 Henry Cohn, 2026, needs more optimization.
13 620 0.467126553270 Henry Cohn, 2026, needs more optimization.
13 621 0.467163986261 Henry Cohn, 2026, needs more optimization.
13 622 0.467195060589 Henry Cohn, 2026, needs more optimization.
13 624 0.467257271284 Henry Cohn, 2026, needs more optimization.
13 625 0.467321837621 Henry Cohn, 2026, needs more optimization.
13 626 0.467363044573 Henry Cohn, 2026, needs more optimization.
13 627 0.467441694376 Henry Cohn, 2026, needs more optimization.
13 628 0.467539320115 Henry Cohn, 2026, needs more optimization.
13 629 0.467649789585 Henry Cohn, 2026, needs more optimization.
13 630 0.467690116911 Henry Cohn, 2026, needs more optimization.
13 631 0.469220586588 Henry Cohn, 2026, needs more optimization.
13 632 0.469478434416 Henry Cohn, 2026, needs more optimization.
13 633 0.470306419603 Henry Cohn, 2026, needs more optimization.
13 634 0.470981076519 Henry Cohn, 2026, needs more optimization.
13 635 0.471590790368 Henry Cohn, 2026, needs more optimization.
13 636 0.472064358290 Henry Cohn, 2026, needs more optimization.
13 637 0.472520672015 Henry Cohn, 2026, needs more optimization.
13 638 0.473147591857 Henry Cohn, 2026, needs more optimization.
13 639 0.473598385470 Henry Cohn, 2026, needs more optimization.
13 640 0.474080007534 Henry Cohn, 2026, needs more optimization.
13 641 0.474302312224 Henry Cohn, 2026, needs more optimization.
13 642 0.474851410118 Henry Cohn, 2026, needs more optimization.
13 644 0.475 Henry Cohn, 2026.
40⁢x−19
13 645 0.476047769448 Henry Cohn, 2026, needs more optimization.
13 646 0.476501060786 Henry Cohn, 2026, needs more optimization.
13 647 0.476809823274 Henry Cohn, 2026, needs more optimization.
13 648 0.477170200269 Henry Cohn, 2026, needs more optimization.
13 649 0.477412846453 Henry Cohn, 2026, needs more optimization.
13 650 0.477678407692 Henry Cohn, 2026, needs more optimization.
13 651 0.477831226013 Henry Cohn, 2026, needs more optimization.
13 652 0.477951371442 Henry Cohn, 2026, needs more optimization.
13 653 0.478129057486 Henry Cohn, 2026, needs more optimization.
13 654 0.478244000274 Henry Cohn, 2026, needs more optimization.
13 655 0.478402440730 Henry Cohn, 2026, needs more optimization.
13 656 0.478530056942 Henry Cohn, 2026, needs more optimization.
13 657 0.478693855116 Henry Cohn, 2026, needs more optimization.
13 658 0.478809727417 Henry Cohn, 2026, needs more optimization.
13 659 0.478974453138 Henry Cohn, 2026, needs more optimization.
13 660 0.479102358752 Henry Cohn, 2026, needs more optimization.
13 661 0.479296315468 Henry Cohn, 2026, needs more optimization.
13 662 0.479438494723 Henry Cohn, 2026, needs more optimization.
13 663 0.479588385183 Henry Cohn, 2026, needs more optimization.
13 664 0.479697096236 Henry Cohn, 2026, needs more optimization.
13 665 0.479829398778 Henry Cohn, 2026, needs more optimization.
13 666 0.479905156014 Henry Cohn, 2026, needs more optimization.
13 667 0.480038349174 Henry Cohn, 2026, needs more optimization.
13 668 0.480163092310 Henry Cohn, 2026, needs more optimization.
13 669 0.480330812657 Henry Cohn, 2026, needs more optimization.
13 670 0.480510152007 Henry Cohn, 2026, needs more optimization.
13 671 0.480658491889 Henry Cohn, 2026, needs more optimization.
13 672 0.480729217947 Henry Cohn, 2026, needs more optimization.
13 673 0.480863550663 Henry Cohn, 2026, needs more optimization.
13 674 0.480967393012 Henry Cohn, 2026, needs more optimization.
13 675 0.481089885717 Henry Cohn, 2026, needs more optimization.
13 676 0.481203676565 Henry Cohn, 2026, needs more optimization.
13 677 0.481317638496 Henry Cohn, 2026, needs more optimization.
13 678 0.481378214961 Henry Cohn, 2026, needs more optimization.
13 679 0.482027901495 Henry Cohn, 2026, needs more optimization.
13 680 0.482123610035 Henry Cohn, 2026, needs more optimization.
13 681 0.482148840697 Henry Cohn, 2026, needs more optimization.
13 682 0.482305245860 Henry Cohn, 2026, needs more optimization.
13 689 0.482378796851 Henry Cohn, 2026, needs more optimization.
13 690 0.482510678370 Henry Cohn, 2026, needs more optimization.
13 691 0.482512080211 Henry Cohn, 2026, needs more optimization.
13 693 0.482723029154 Henry Cohn, 2026, needs more optimization.
13 697 0.483011429620 Henry Cohn, 2026, needs more optimization.
13 698 0.483784436106 Henry Cohn, 2026, needs more optimization.
13 699 0.483906726677 Henry Cohn, 2026, needs more optimization.
13 700 0.483969916324 Henry Cohn, 2026, needs more optimization.
13 706 0.484192961791 Henry Cohn, 2026, needs more optimization.
13 714 0.484401570370 Henry Cohn, 2026, needs more optimization.
13 718 0.484584681768 Henry Cohn, 2026, needs more optimization.
13 723 0.484863511617 Henry Cohn, 2026, needs more optimization.
13 724 0.484943885499 Henry Cohn, 2026, needs more optimization.
13 725 0.484956518155 Henry Cohn, 2026, needs more optimization.
13 726 0.485547984337 Henry Cohn, 2026, needs more optimization.
13 727 0.485565759601 Henry Cohn, 2026, needs more optimization.
13 728 0.485635283606 Henry Cohn, 2026, needs more optimization.
13 731 0.485666707162 Henry Cohn, 2026, needs more optimization.
13 740 0.485851722174 Henry Cohn, 2026, needs more optimization.
13 741 0.486426777298 Henry Cohn, 2026, needs more optimization.
13 742 0.486456582041 Henry Cohn, 2026, needs more optimization.
13 743 0.486502418823 Henry Cohn, 2026, needs more optimization.
13 744 0.486604954281 Henry Cohn, 2026, needs more optimization.
13 745 0.486664132729 Henry Cohn, 2026, needs more optimization.
13 746 0.486708574354 Henry Cohn, 2026, needs more optimization.
13 747 0.486727037414 Henry Cohn, 2026, needs more optimization.
13 748 0.486741820412 Henry Cohn, 2026, needs more optimization.
13 749 0.486780176111 Henry Cohn, 2026, needs more optimization.
13 756 0.486824380087 Henry Cohn, 2026, needs more optimization.
13 766 0.487184923618 Henry Cohn, 2026, needs more optimization.
13 767 0.487341524903 Henry Cohn, 2026, needs more optimization.
13 768 0.487918566177 Henry Cohn, 2026, needs more optimization.
13 769 0.487936610741 Henry Cohn, 2026, needs more optimization.
13 780 0.487951620562 Henry Cohn, 2026, needs more optimization.
13 782 0.488516798058 Henry Cohn, 2026, needs more optimization.
13 797 0.488544349335 Henry Cohn, 2026, needs more optimization.
13 802 0.488681256939 Henry Cohn, 2026, needs more optimization.
13 804 0.488769516530 Henry Cohn, 2026, needs more optimization.
13 807 0.488980417123 Henry Cohn, 2026, needs more optimization.
13 808 0.489024467657 Henry Cohn, 2026, needs more optimization.
13 812 0.489172351483 Henry Cohn, 2026, needs more optimization.
13 813 0.489315273059 Henry Cohn, 2026, needs more optimization.
13 814 0.489317863383 Henry Cohn, 2026, needs more optimization.
13 815 0.489333081994 Henry Cohn, 2026, needs more optimization.
13 816 0.489344420063 Henry Cohn, 2026, needs more optimization.
13 817 0.489353407622 Henry Cohn, 2026, needs more optimization.
13 818 0.489357866958 Henry Cohn, 2026, needs more optimization.
13 828 0.489907754554 Henry Cohn, 2026, needs more optimization.
13 836 0.490439366372 Henry Cohn, 2026, needs more optimization.
13 838 0.490783950062 Henry Cohn, 2026, needs more optimization.
13 840 0.490941325616 Henry Cohn, 2026, needs more optimization.
13 841 0.491720361981 Henry Cohn, 2026, needs more optimization.
13 842 0.491737098040 Henry Cohn, 2026, needs more optimization.
13 852 0.491863161193 Henry Cohn, 2026, needs more optimization.
13 857 0.492632832765 Henry Cohn, 2026, needs more optimization.
13 859 0.492685503042 Robert Dallara, 2026.
13 860 0.493297062315 Henry Cohn, 2026, needs more optimization.
13 861 0.493352743373 Henry Cohn, 2026, needs more optimization.
13 862 0.493681985408 Henry Cohn, 2026, needs more optimization.
13 863 0.493756979388 Henry Cohn, 2026, needs more optimization.
13 864 0.493784681253 Henry Cohn, 2026, needs more optimization.
13 866 0.493850055407 Henry Cohn, 2026, needs more optimization.
13 867 0.494207381705 Henry Cohn, 2026, needs more optimization.
13 868 0.494278312869 Henry Cohn, 2026, needs more optimization.
13 872 0.494647439909 Henry Cohn, 2026, needs more optimization.
13 877 0.494928561519 Henry Cohn, 2026, needs more optimization.
13 878 0.495184636267 Henry Cohn, 2026, needs more optimization.
13 879 0.495568222463 Henry Cohn, 2026, needs more optimization.
13 880 0.495589155086 Henry Cohn, 2026, needs more optimization.
13 881 0.495628525280 Henry Cohn, 2026, needs more optimization.
13 882 0.495634948353 Henry Cohn, 2026, needs more optimization.
13 886 0.496944823957 Henry Cohn, 2026, needs more optimization.
13 889 0.497692823310 Uploaded by anonymous internet user, 2026.
13 890 0.498442550770 Henry Cohn, 2026, needs more optimization.
13 891 0.498618080439 Henry Cohn, 2026, needs more optimization.
13 892 0.498797485746 Henry Cohn, 2026, needs more optimization.
13 893 0.499160051611 Henry Cohn, 2026, needs more optimization.
13 896 0.499182951830 Henry Cohn, 2026, needs more optimization.
13 897 0.499811837525 Henry Cohn, 2026, needs more optimization.
13 1024 0.5 Subcode of a kissing configuration from J. Leech and N. J. A. Sloane, Sphere packings and error-correcting codes, Canadian J. Math. 23 (1971), 718–745, doi:10.4153/CJM-1971-081-3.
2⁢x−1
14 29 0.053426987342 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
2016⁢x3−196⁢x2−14⁢x+1
14 30 0.0625 H. Cohn, Small spherical and projective codes, data set, 2022, DSpace@MIT, https://hdl.handle.net/1721.1/142661.
16⁢x−1
14 31 0.067582771839 H. Cohn, Small spherical and projective codes, data set, updated 2025, DSpace@MIT, https://hdl.handle.net/1721.1/142661.
14 32 0.071430901841 H. Cohn, Small spherical and projective codes, data set, 2022, DSpace@MIT, https://hdl.handle.net/1721.1/142661.
14 33 0.071678780313 Henry Cohn, 2025.
14 34 0.071706747799 Henry Cohn, 2025.
14 36 0.080003299193 Henry Cohn, 2023.
2156⁢x2+140⁢x−25
14 37 0.087892856445 Henry Cohn, 2023.
Minimal polynomial listed in plain text data
14 38 0.092604004700 Henry Cohn, 2025.
14 39 0.094407135777 Henry Cohn, 2023.
Minimal polynomial listed in plain text data
14 42 0.1 T. Ericson and V. Zinoviev, Spherical codes generated by binary partitions of symmetric pointsets, IEEE Trans. Inform. Theory 41 (1995), 107–129, doi:10.1109/18.370114.
10⁢x−1
14 43 0.112894921393 Henry Cohn, 2025.
14 45 0.112912613537 Henry Cohn, 2023.
167⁢x2−10⁢x−1
14 46 0.114212424977 Henry Cohn, 2024.
14 47 0.114744370065 Henry Cohn, 2026.
14 48 0.114785923011 Henry Cohn, 2023.
1988352⁢x8+1963008⁢x7−108672⁢x6−513152⁢x5−92592⁢x4+19616⁢x3+5240⁢x2+72⁢x−81
14 49 0.125031168050 Henry Cohn, 2025.
14 50 0.126129943174 Henry Cohn, 2025.
14 52 0.126131983623 Henry Cohn, 2023.
47⁢x2+2⁢x−1
14 53 0.127206262662 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
14 54 0.135105967369 Henry Cohn, 2024.
14 55 0.136745922263 Henry Cohn, 2023.
14 56 0.139995309534 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 57 0.142105817153 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 64 0.142857142858 T. Ericson and V. Zinoviev, Spherical codes generated by binary partitions of symmetric pointsets, IEEE Trans. Inform. Theory 41 (1995), 107–129, doi:10.1109/18.370114.
7⁢x−1
14 65 0.165287555076 Henry Cohn, 2024.
25600⁢x4−5616⁢x3−2736⁢x2+81
14 70 0.166666666667 T. Ericson and V. Zinoviev, Spherical codes generated by binary partitions of symmetric pointsets, IEEE Trans. Inform. Theory 41 (1995), 107–129, doi:10.1109/18.370114.
6⁢x−1
14 71 0.177427267176 Henry Cohn, 2024.
196⁢x4−56⁢x3−28⁢x2+1
14 72 0.180979034910 Henry Cohn, 2026.
14 73 0.184450749802 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 75 0.185110498562 Henry Cohn, 2026.
16⁢x4−44⁢x3−54⁢x2+6⁢x+1
14 76 0.189882980940 Antoine Olivier, 2026.
14 77 0.190266040190 Henry Cohn, 2026.
Minimal polynomial listed in plain text data
14 78 0.191435237611 Arhan Canli, 2026.
14 79 0.193295679961 Henry Cohn, 2026, needs more optimization.
14 80 0.195566522972 Antoine Olivier, 2026.
14 81 0.198091399669 Henry Cohn, 2026, needs more optimization.
14 82 0.198235113449 Henry Cohn, 2026, needs more optimization.
14 83 0.198267231140 Henry Cohn, 2026, needs more optimization.
14 84 0.198293264299 Henry Cohn, 2026, needs more optimization.
14 85 0.198380133558 Henry Cohn, 2026, needs more optimization.
14 86 0.198448366076 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 87 0.198500422890 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 88 0.198573138467 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 89 0.198676700177 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 90 0.198771501202 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 91 0.198843416030 Henry Cohn, 2026.
Minimal polynomial listed in plain text data
14 92 0.208456809639 Henry Cohn, 2026.
14 93 0.211614877846 Arhan Canli, 2026.
14 94 0.211902924857 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 95 0.212156818994 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 98 0.212267554700 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 99 0.219093723133 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 100 0.223656652929 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 101 0.225611786184 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 102 0.227324267760 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 103 0.228436743224 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 104 0.229435074141 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 112 0.229910395527 Henry Cohn, 2026.
172881⁢x2−2450⁢x−8575
14 113 0.234877677877 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 114 0.237353905077 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 115 0.238647655396 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 116 0.240621710624 Henry Cohn, 2026, needs more optimization.
14 117 0.242102513974 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 118 0.243526373346 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 119 0.244521891649 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 120 0.245013623874 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 121 0.245804193148 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 122 0.247969565987 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 123 0.249867588407 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 124 0.250841630275 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 125 0.252036955830 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 126 0.252989165655 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
14 127 0.253946165501 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 128 0.254461455980 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 129 0.255313221760 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 130 0.255991032639 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 131 0.257308841654 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 132 0.259375896042 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 133 0.261663671512 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 134 0.263359520675 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 135 0.263523285302 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 136 0.263696522706 Arhan Canli, 2026.
14 137 0.265700466774 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 138 0.267614408453 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
14 139 0.268850030831 Arhan Canli, 2026.
14 140 0.269114187010 Arhan Canli, 2026.
14 141 0.269159098387 Arhan Canli, 2026.
14 142 0.269179039444 Arhan Canli, 2026.
14 143 0.269224662275 Arhan Canli, 2026.
14 144 0.269269448784 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 145 0.269305975303 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 146 0.269347201805 Uploaded by anonymous internet user, 2026.
14 147 0.269387656352 Henry Cohn, 2026, needs more optimization.
14 148 0.269433701500 Henry Cohn, 2026, needs more optimization.
14 149 0.269470027821 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 150 0.269507084831 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 152 0.269752143390 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
17⁢x2−12⁢x+2
14 153 0.273185531221 Henry Cohn, 2026, needs more optimization.
14 154 0.273722355435 Valentin Khrulkov, 2026, using the program of A. Kravatsky, V. Khrulkov, and I. Oseledets, ImprovEvolve: basin-hopping meets LLM-guided evolutionary search, ICML 2026 AI4Math Workshop Poster, https://openreview.net/forum?id=nE1q0gRDNr, arXiv:2602.10233.
14 155 0.275821287126 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 156 0.275951240299 Henry Cohn, 2026, needs more optimization.
14 157 0.276192708250 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 158 0.276409048414 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 159 0.276639427593 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 160 0.276928172851 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 161 0.277313316694 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 162 0.277723591478 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 163 0.278235538476 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 164 0.278742069770 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 165 0.279301174090 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 166 0.280034629472 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 167 0.281182078023 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 168 0.281734140445 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 169 0.286484241382 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 170 0.287680952074 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 171 0.289016306087 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 172 0.290063551943 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 173 0.290935128089 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 174 0.291707450567 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 175 0.292476108147 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 176 0.293261763269 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 177 0.293986945699 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 178 0.294973059305 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 179 0.295406863442 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 180 0.295813844920 Henry Cohn, 2026, needs more optimization.
14 181 0.296286331978 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 182 0.296781002960 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 183 0.297284591155 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 184 0.297803343560 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 185 0.298344248863 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 186 0.298948788464 Arhan Canli, 2026.
14 187 0.299546636185 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 188 0.300110731882 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 189 0.300572151099 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 190 0.301260925632 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 191 0.302336229864 Arhan Canli, 2026.
14 192 0.303366227060 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 193 0.304399585199 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 194 0.305337983825 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 195 0.306338157762 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 196 0.307706828505 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 197 0.308579579991 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
14 198 0.309213490151 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
14 199 0.310004338205 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
14 200 0.310363956550 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
14 201 0.311669660673 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
14 202 0.311796750159 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
14 203 0.312211338630 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
14 204 0.312859058760 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
14 205 0.313362485481 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
14 206 0.313760055167 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
14 207 0.314143100512 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
14 208 0.314344462026 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
14 209 0.314674981623 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
14 210 0.315035834767 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
14 211 0.315307223426 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
14 212 0.315745381301 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
14 213 0.316114886948 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
14 214 0.316209526086 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
14 215 0.316849470717 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
14 216 0.317149448563 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
14 217 0.317306760171 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
14 218 0.318105901330 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
14 219 0.318392962184 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
14 220 0.318596246936 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
14 221 0.319502068478 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
14 222 0.320156920283 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
14 223 0.320752101724 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
14 224 0.321220659277 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
14 225 0.321612221144 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
14 226 0.321861830398 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
14 227 0.323370787321 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
14 228 0.323897004455 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
14 229 0.324518908447 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
14 230 0.324802071007 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
14 231 0.325935756593 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
14 232 0.326688433255 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
14 233 0.327393768235 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
14 234 0.328555151244 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
14 235 0.329473684559 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
14 236 0.330025296754 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
14 237 0.330939276853 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
14 238 0.331679997281 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
14 239 0.332337617579 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
14 240 0.332976262691 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
14 241 0.333092549840 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
14 252 0.333333333334 C. Ma, T. Tao Z., P. Li, M. Liu, H. Chen, Z. Mao, Y. Cheng, Y. Qi, and Y. Yang, Finding kissing numbers with game-theoretic reinforcement learning, preprint, 2025, arXiv:2511.13391.
3⁢x−1
14 262 0.333811944633 Henry Cohn, 2026, needs more optimization.
14 266 0.333898841795 Henry Cohn, 2026, needs more optimization.
14 267 0.336166556950 Henry Cohn, 2026, needs more optimization.
14 269 0.337346130235 Henry Cohn, 2026, needs more optimization.
14 282 0.339465385359 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 285 0.339602611491 Henry Cohn, 2026, needs more optimization.
14 286 0.341135842942 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 287 0.342442534217 Henry Cohn, 2026, needs more optimization.
14 288 0.343978676481 Henry Cohn, 2026, needs more optimization.
14 289 0.345063364512 Henry Cohn, 2026, needs more optimization.
14 290 0.345851514208 Henry Cohn, 2026, needs more optimization.
14 296 0.347198310291 Henry Cohn, 2026, needs more optimization.
14 297 0.347202771291 Henry Cohn, 2026, needs more optimization.
14 298 0.347335110801 Henry Cohn, 2026, needs more optimization.
14 299 0.347930110562 Henry Cohn, 2026, needs more optimization.
14 300 0.348195856797 Henry Cohn, 2026, needs more optimization.
14 301 0.348673008273 Henry Cohn, 2026, needs more optimization.
14 302 0.348978417532 Henry Cohn, 2026, needs more optimization.
14 303 0.352664822406 Henry Cohn, 2026, needs more optimization.
14 304 0.353973071775 Henry Cohn, 2026, needs more optimization.
14 305 0.354967619050 Henry Cohn, 2026, needs more optimization.
14 306 0.354967790676 Henry Cohn, 2026, needs more optimization.
14 307 0.354967986903 Henry Cohn, 2026, needs more optimization.
14 308 0.354968173917 Henry Cohn, 2026, needs more optimization.
14 309 0.354970020447 Henry Cohn, 2026, needs more optimization.
14 310 0.354970277463 Henry Cohn, 2026, needs more optimization.
14 311 0.354970505183 Henry Cohn, 2026, needs more optimization.
14 312 0.354970873796 Henry Cohn, 2026, needs more optimization.
14 313 0.354971205964 Henry Cohn, 2026, needs more optimization.
14 320 0.355009157954 Henry Cohn, 2026, needs more optimization.
14 322 0.355009829237 Henry Cohn, 2026, needs more optimization.
14 323 0.355010800669 Henry Cohn, 2026, needs more optimization.
14 324 0.355011428785 Henry Cohn, 2026, needs more optimization.
14 325 0.355011500965 Henry Cohn, 2026, needs more optimization.
14 326 0.355011968444 Henry Cohn, 2026, needs more optimization.
14 327 0.355012584528 Henry Cohn, 2026, needs more optimization.
14 328 0.355012585872 Henry Cohn, 2026, needs more optimization.
14 331 0.355012597273 Henry Cohn, 2026, needs more optimization.
14 332 0.355012760968 Henry Cohn, 2026, needs more optimization.
14 333 0.355013206490 Henry Cohn, 2026, needs more optimization.
14 334 0.355015711386 Henry Cohn, 2026, needs more optimization.
14 335 0.355016138600 Henry Cohn, 2026, needs more optimization.
14 336 0.355045640821 Henry Cohn, 2026, needs more optimization.
14 338 0.355118098866 Henry Cohn, 2026, needs more optimization.
14 339 0.355577979901 Henry Cohn, 2026, needs more optimization.
14 340 0.357142021978 Henry Cohn, 2026, needs more optimization.
14 342 0.358051640963 Henry Cohn, 2026, needs more optimization.
14 343 0.358543895483 Henry Cohn, 2026, needs more optimization.
14 344 0.359874390735 Henry Cohn, 2026, needs more optimization.
14 345 0.360768698682 Henry Cohn, 2026, needs more optimization.
14 346 0.362852640787 Henry Cohn, 2026, needs more optimization.
14 349 0.363195368712 Henry Cohn, 2026, needs more optimization.
14 350 0.364017426940 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
14 351 0.364769371511 Henry Cohn, 2026, needs more optimization.
14 352 0.367342238572 Henry Cohn, 2026, needs more optimization.
14 353 0.368111682928 Henry Cohn, 2026, needs more optimization.
14 354 0.369258881806 Henry Cohn, 2026, needs more optimization.
14 355 0.370390551169 Henry Cohn, 2026, needs more optimization.
14 356 0.371137069457 Henry Cohn, 2026, needs more optimization.
14 357 0.371998299687 Henry Cohn, 2026, needs more optimization.
14 358 0.373029002267 Henry Cohn, 2026, needs more optimization.
14 359 0.374138337842 Henry Cohn, 2026, needs more optimization.
14 360 0.374986458852 Henry Cohn, 2026, needs more optimization.
14 361 0.375773879403 Henry Cohn, 2026, needs more optimization.
14 362 0.376466785931 Henry Cohn, 2026, needs more optimization.
14 363 0.377312902130 Henry Cohn, 2026, needs more optimization.
14 364 0.377321046542 Henry Cohn, 2026, needs more optimization.
14 365 0.377331340331 Henry Cohn, 2026, needs more optimization.
14 366 0.377347283776 Henry Cohn, 2026, needs more optimization.
14 367 0.377353721164 Henry Cohn, 2026, needs more optimization.
14 368 0.377386203628 Henry Cohn, 2026, needs more optimization.
14 373 0.377390555299 Robert Dallara, 2026.
14 374 0.377435924784 Henry Cohn, 2026, needs more optimization.
14 375 0.377436065255 Henry Cohn, 2026, needs more optimization.
14 376 0.377436376088 Henry Cohn, 2026, needs more optimization.
14 377 0.377436644697 Henry Cohn, 2026, needs more optimization.
14 378 0.377441714466 Henry Cohn, 2026, needs more optimization.
14 379 0.377441805491 Henry Cohn, 2026, needs more optimization.
14 380 0.377441805848 Henry Cohn, 2026, needs more optimization.
14 381 0.377455632178 Henry Cohn, 2026, needs more optimization.
14 384 0.377548206920 Henry Cohn, 2026, needs more optimization.
14 385 0.377912994889 Henry Cohn, 2026, needs more optimization.
14 386 0.378443763812 Henry Cohn, 2026, needs more optimization.
14 387 0.380849603454 Henry Cohn, 2026, needs more optimization.
14 388 0.381423031949 Henry Cohn, 2026, needs more optimization.
14 389 0.381960105257 Henry Cohn, 2026, needs more optimization.
14 390 0.383154196985 Henry Cohn, 2026, needs more optimization.
14 391 0.383157850390 Henry Cohn, 2026, needs more optimization.
14 392 0.383994873758 Henry Cohn, 2026, needs more optimization.
14 393 0.384003522290 Henry Cohn, 2026, needs more optimization.
14 394 0.384011827249 Henry Cohn, 2026, needs more optimization.
14 395 0.384017794367 Henry Cohn, 2026, needs more optimization.
14 396 0.384023782463 Henry Cohn, 2026, needs more optimization.
14 397 0.384030653451 Henry Cohn, 2026, needs more optimization.
14 398 0.384039489787 Henry Cohn, 2026, needs more optimization.
14 399 0.384242347241 Henry Cohn, 2026, needs more optimization.
14 400 0.384305984824 Henry Cohn, 2026, needs more optimization.
14 401 0.384923226986 Henry Cohn, 2026, needs more optimization.
14 402 0.385003525454 Henry Cohn, 2026, needs more optimization.
14 403 0.385484448286 Henry Cohn, 2026, needs more optimization.
14 414 0.385541683955 Henry Cohn, 2026, needs more optimization.
14 415 0.386486241567 Henry Cohn, 2026, needs more optimization.
14 416 0.387030446753 Henry Cohn, 2026, needs more optimization.
14 417 0.387398332254 Henry Cohn, 2026, needs more optimization.
14 418 0.387403329282 Henry Cohn, 2026, needs more optimization.
14 419 0.387542057464 Henry Cohn, 2026, needs more optimization.
14 420 0.388281815902 Henry Cohn, 2026, needs more optimization.
14 421 0.390111915068 Henry Cohn, 2026, needs more optimization.
14 422 0.391129505863 Henry Cohn, 2026, needs more optimization.
14 423 0.391547845909 Henry Cohn, 2026, needs more optimization.
14 435 0.391891891892 Henry Cohn, 2026.
74⁢x−29
14 436 0.394834515681 Henry Cohn, 2026, needs more optimization.
14 437 0.395905398334 Henry Cohn, 2026, needs more optimization.
14 438 0.396518914130 Henry Cohn, 2026, needs more optimization.
14 439 0.396988099397 Henry Cohn, 2026, needs more optimization.
14 440 0.397345835370 Henry Cohn, 2026, needs more optimization.
14 441 0.397630040274 Henry Cohn, 2026, needs more optimization.
14 442 0.398091173238 Henry Cohn, 2026, needs more optimization.
14 443 0.398789625952 Henry Cohn, 2026, needs more optimization.
14 444 0.399265345425 Henry Cohn, 2026, needs more optimization.
14 445 0.399600977801 Henry Cohn, 2026, needs more optimization.
14 466 0.4 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
5⁢x−2
14 537 0.4 Henry Cohn, 2026.
5⁢x−2
14 538 0.411974578776 Henry Cohn, 2026, needs more optimization.
14 539 0.413391302610 Henry Cohn, 2026, needs more optimization.
14 540 0.414934559480 Henry Cohn, 2026, needs more optimization.
14 541 0.416094403843 Henry Cohn, 2026, needs more optimization.
14 542 0.417511289428 Henry Cohn, 2026, needs more optimization.
14 543 0.418555922688 Henry Cohn, 2026, needs more optimization.
14 544 0.418838903043 Henry Cohn, 2026, needs more optimization.
14 545 0.419540863270 Henry Cohn, 2026, needs more optimization.
14 546 0.420234194451 Henry Cohn, 2026, needs more optimization.
14 548 0.420556930356 Henry Cohn, 2026, needs more optimization.
14 550 0.422272601385 Henry Cohn, 2026, needs more optimization.
14 580 0.423076923077 Henry Cohn, 2026.
26⁢x−11
14 583 0.423076971556 Henry Cohn, 2026, needs more optimization.
14 587 0.423896634475 Henry Cohn, 2026, needs more optimization.
14 600 0.428571428572 M. Ganzhinov and P. R. J. Östergård, Spherical codes with prescribed signed permutation automorphisms inside shells of low-dimensional integer lattices, IEEE Trans. Inform. Theory 70 (2024), 8669–8674, doi:10.1109/tit.2024.3462593, arXiv:2403.04330.
7⁢x−3
14 601 0.429609183875 Henry Cohn, 2026, needs more optimization.
14 602 0.430053755572 Henry Cohn, 2026, needs more optimization.
14 603 0.430222246370 Henry Cohn, 2026, needs more optimization.
14 604 0.430246937487 Henry Cohn, 2026, needs more optimization.
14 605 0.430391535486 Henry Cohn, 2026, needs more optimization.
14 606 0.430430114650 Henry Cohn, 2026, needs more optimization.
14 607 0.430510475853 Henry Cohn, 2026, needs more optimization.
14 608 0.430571378387 Henry Cohn, 2026, needs more optimization.
14 609 0.430655634344 Henry Cohn, 2026, needs more optimization.
14 610 0.430957424023 Henry Cohn, 2026, needs more optimization.
14 611 0.431113578006 Henry Cohn, 2026, needs more optimization.
14 612 0.431251194929 Henry Cohn, 2026, needs more optimization.
14 613 0.431408003069 Henry Cohn, 2026, needs more optimization.
14 614 0.431620377539 Henry Cohn, 2026, needs more optimization.
14 615 0.431715587371 Henry Cohn, 2026, needs more optimization.
14 616 0.431835891132 Henry Cohn, 2026, needs more optimization.
14 617 0.431920450662 Henry Cohn, 2026, needs more optimization.
14 618 0.432010203118 Henry Cohn, 2026, needs more optimization.
14 619 0.432114375875 Robert Dallara, 2026.
14 620 0.432217445864 Henry Cohn, 2026, needs more optimization.
14 621 0.432954484254 Henry Cohn, 2026, needs more optimization.
14 622 0.432987531354 Henry Cohn, 2026, needs more optimization.
14 623 0.433026597075 Henry Cohn, 2026, needs more optimization.
14 624 0.433072296505 Henry Cohn, 2026, needs more optimization.
14 625 0.433078846120 Henry Cohn, 2026, needs more optimization.
14 626 0.433087649348 Henry Cohn, 2026, needs more optimization.
14 627 0.433208738793 Henry Cohn, 2026, needs more optimization.
14 628 0.433275805579 Henry Cohn, 2026, needs more optimization.
14 629 0.433493925804 Henry Cohn, 2026, needs more optimization.
14 630 0.433497373283 Henry Cohn, 2026, needs more optimization.
14 631 0.433593058150 Henry Cohn, 2026, needs more optimization.
14 632 0.433602114744 Henry Cohn, 2026, needs more optimization.
14 633 0.433624641990 Henry Cohn, 2026, needs more optimization.
14 634 0.433704558032 Henry Cohn, 2026, needs more optimization.
14 635 0.433771205899 Henry Cohn, 2026, needs more optimization.
14 636 0.433799648615 Henry Cohn, 2026, needs more optimization.
14 637 0.433851926001 Henry Cohn, 2026, needs more optimization.
14 638 0.433905111288 Henry Cohn, 2026, needs more optimization.
14 639 0.433911691905 Henry Cohn, 2026, needs more optimization.
14 640 0.433954375172 Henry Cohn, 2026, needs more optimization.
14 641 0.434012658666 Henry Cohn, 2026, needs more optimization.
14 642 0.434171493169 Henry Cohn, 2026, needs more optimization.
14 643 0.434174582186 Henry Cohn, 2026, needs more optimization.
14 644 0.434211371704 Henry Cohn, 2026, needs more optimization.
14 645 0.434266752821 Henry Cohn, 2026, needs more optimization.
14 646 0.434903332462 Henry Cohn, 2026, needs more optimization.
14 647 0.435567763342 Henry Cohn, 2026, needs more optimization.
14 648 0.436671416526 Henry Cohn, 2026, needs more optimization.
14 649 0.437226698754 Henry Cohn, 2026, needs more optimization.
14 650 0.437319536647 Henry Cohn, 2026, needs more optimization.
14 651 0.437775258580 Henry Cohn, 2026, needs more optimization.
14 652 0.437791244639 Henry Cohn, 2026, needs more optimization.
14 653 0.438800353664 Henry Cohn, 2026, needs more optimization.
14 654 0.439032358816 Henry Cohn, 2026, needs more optimization.
14 655 0.439485968136 Henry Cohn, 2026, needs more optimization.
14 656 0.440432902809 Henry Cohn, 2026, needs more optimization.
14 660 0.440432902821 Henry Cohn, 2026, needs more optimization.
14 661 0.441271546398 Henry Cohn, 2026, needs more optimization.
14 663 0.442149624832 Henry Cohn, 2026, needs more optimization.
14 665 0.442645947284 Robert Dallara, 2026.
14 666 0.443754757608 Henry Cohn, 2026, needs more optimization.
14 667 0.443958850403 Henry Cohn, 2026, needs more optimization.
14 671 0.444441323190 Henry Cohn, 2026, needs more optimization.
14 675 0.445963277946 Henry Cohn, 2026, needs more optimization.
14 676 0.446905544246 Henry Cohn, 2026, needs more optimization.
14 677 0.447029503237 Henry Cohn, 2026, needs more optimization.
14 678 0.447152328632 Henry Cohn, 2026, needs more optimization.
14 679 0.447431240491 Henry Cohn, 2026, needs more optimization.
14 682 0.447558279538 Henry Cohn, 2026, needs more optimization.
14 683 0.447866430881 Henry Cohn, 2026, needs more optimization.
14 684 0.448527219705 Henry Cohn, 2026, needs more optimization.
14 685 0.448763203415 Henry Cohn, 2026, needs more optimization.
14 686 0.448877827324 Henry Cohn, 2026, needs more optimization.
14 687 0.448981215446 Henry Cohn, 2026, needs more optimization.
14 688 0.449138720073 Henry Cohn, 2026, needs more optimization.
14 689 0.449410682976 Henry Cohn, 2026, needs more optimization.
14 690 0.449453067826 Henry Cohn, 2026, needs more optimization.
14 691 0.449751616689 Henry Cohn, 2026, needs more optimization.
14 692 0.449840976387 Henry Cohn, 2026, needs more optimization.
14 693 0.450071745953 Henry Cohn, 2026, needs more optimization.
14 696 0.450097230286 Henry Cohn, 2026, needs more optimization.
14 697 0.450765617503 Henry Cohn, 2026, needs more optimization.
14 699 0.450849592472 Henry Cohn, 2026, needs more optimization.
14 700 0.453478395359 Henry Cohn, 2026, needs more optimization.
14 701 0.453495497980 Henry Cohn, 2026, needs more optimization.
14 702 0.453512792203 Henry Cohn, 2026, needs more optimization.
14 703 0.453540538036 Henry Cohn, 2026, needs more optimization.
14 704 0.453562547923 Henry Cohn, 2026, needs more optimization.
14 705 0.453584155839 Henry Cohn, 2026, needs more optimization.
14 706 0.453629256069 Henry Cohn, 2026, needs more optimization.
14 707 0.453650749555 Henry Cohn, 2026, needs more optimization.
14 708 0.453689370697 Henry Cohn, 2026, needs more optimization.
14 709 0.453699076827 Henry Cohn, 2026, needs more optimization.
14 710 0.453714515318 Henry Cohn, 2026, needs more optimization.
14 711 0.453733947707 Henry Cohn, 2026, needs more optimization.
14 712 0.453748849328 Henry Cohn, 2026, needs more optimization.
14 713 0.453791255667 Henry Cohn, 2026, needs more optimization.
14 714 0.453820797216 Henry Cohn, 2026, needs more optimization.
14 715 0.453890447723 Henry Cohn, 2026, needs more optimization.
14 716 0.453937148850 Henry Cohn, 2026, needs more optimization.
14 717 0.454005814138 Henry Cohn, 2026, needs more optimization.
14 718 0.454077031615 Henry Cohn, 2026, needs more optimization.
14 719 0.454131154468 Henry Cohn, 2026, needs more optimization.
14 896 0.454545454546 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
11⁢x−5
14 897 0.454719198215 Henry Cohn, 2026, needs more optimization.
14 898 0.454766910288 Henry Cohn, 2026, needs more optimization.
14 899 0.454840723002 Henry Cohn, 2026, needs more optimization.
14 900 0.454856945225 Henry Cohn, 2026, needs more optimization.
14 901 0.454873033823 Henry Cohn, 2026, needs more optimization.
14 902 0.454894694514 Henry Cohn, 2026, needs more optimization.
14 903 0.454910425298 Henry Cohn, 2026, needs more optimization.
14 904 0.454940983944 Henry Cohn, 2026, needs more optimization.
14 905 0.454953690695 Henry Cohn, 2026, needs more optimization.
14 906 0.454982012538 Henry Cohn, 2026, needs more optimization.
14 907 0.455009075587 Henry Cohn, 2026, needs more optimization.
14 908 0.455017991436 Henry Cohn, 2026, needs more optimization.
14 909 0.455035484838 Henry Cohn, 2026, needs more optimization.
14 910 0.455071920744 Henry Cohn, 2026, needs more optimization.
14 911 0.455092366442 Henry Cohn, 2026, needs more optimization.
14 912 0.455106895988 Henry Cohn, 2026, needs more optimization.
14 913 0.455119460177 Henry Cohn, 2026, needs more optimization.
14 914 0.455133654615 Henry Cohn, 2026, needs more optimization.
14 915 0.455142351161 Henry Cohn, 2026, needs more optimization.
14 917 0.455177878446 Henry Cohn, 2026, needs more optimization.
14 918 0.455201179963 Henry Cohn, 2026, needs more optimization.
14 919 0.455207828054 Henry Cohn, 2026, needs more optimization.
14 920 0.455217659814 Henry Cohn, 2026, needs more optimization.
14 921 0.455252802570 Henry Cohn, 2026, needs more optimization.
14 922 0.455281970366 Henry Cohn, 2026, needs more optimization.
14 923 0.455323010370 Henry Cohn, 2026, needs more optimization.
14 924 0.455329558435 Henry Cohn, 2026, needs more optimization.
14 925 0.455351187085 Henry Cohn, 2026, needs more optimization.
14 926 0.455358536853 Henry Cohn, 2026, needs more optimization.
14 927 0.455366108486 Henry Cohn, 2026, needs more optimization.
14 928 0.455369046090 Henry Cohn, 2026, needs more optimization.
14 929 0.455374079540 Henry Cohn, 2026, needs more optimization.
14 930 0.455378547481 Henry Cohn, 2026, needs more optimization.
14 931 0.455380549354 Henry Cohn, 2026, needs more optimization.
14 932 0.455388141681 Henry Cohn, 2026, needs more optimization.
14 933 0.455393477142 Henry Cohn, 2026, needs more optimization.
14 934 0.455394903025 Henry Cohn, 2026, needs more optimization.
14 935 0.455397011091 Henry Cohn, 2026, needs more optimization.
14 936 0.455402839627 Henry Cohn, 2026, needs more optimization.
14 937 0.455408310271 Henry Cohn, 2026, needs more optimization.
14 938 0.455412874313 Henry Cohn, 2026, needs more optimization.
14 939 0.455418946114 Henry Cohn, 2026, needs more optimization.
14 940 0.455424786212 Henry Cohn, 2026, needs more optimization.
14 941 0.455428861220 Henry Cohn, 2026, needs more optimization.
14 942 0.455435013979 Henry Cohn, 2026, needs more optimization.
14 943 0.455440165246 Henry Cohn, 2026, needs more optimization.
14 944 0.455446816358 Henry Cohn, 2026, needs more optimization.
14 945 0.455450473187 Henry Cohn, 2026, needs more optimization.
14 946 0.455456608038 Henry Cohn, 2026, needs more optimization.
14 947 0.455459479966 Henry Cohn, 2026, needs more optimization.
14 948 0.455469385093 Henry Cohn, 2026, needs more optimization.
14 949 0.455472887182 Henry Cohn, 2026, needs more optimization.
14 950 0.455477219976 Henry Cohn, 2026, needs more optimization.
14 951 0.455486007367 Henry Cohn, 2026, needs more optimization.
14 952 0.455492830830 Henry Cohn, 2026, needs more optimization.
14 953 0.455498348937 Henry Cohn, 2026, needs more optimization.
14 954 0.455509115967 Henry Cohn, 2026, needs more optimization.
14 955 0.455512256142 Henry Cohn, 2026, needs more optimization.
14 956 0.455520598806 Henry Cohn, 2026, needs more optimization.
14 957 0.455539834395 Henry Cohn, 2026, needs more optimization.
14 958 0.455546193089 Henry Cohn, 2026, needs more optimization.
14 959 0.455553479455 Henry Cohn, 2026, needs more optimization.
14 960 0.455556773580 Henry Cohn, 2026, needs more optimization.
14 961 0.455562800087 Henry Cohn, 2026, needs more optimization.
14 962 0.455567601596 Henry Cohn, 2026, needs more optimization.
14 963 0.455573220787 Henry Cohn, 2026, needs more optimization.
14 964 0.455585381593 Henry Cohn, 2026, needs more optimization.
14 965 0.455592436335 Henry Cohn, 2026, needs more optimization.
14 966 0.455598531985 Henry Cohn, 2026, needs more optimization.
14 967 0.455603817796 Henry Cohn, 2026, needs more optimization.
14 968 0.455609697519 Henry Cohn, 2026, needs more optimization.
14 969 0.455612696746 Henry Cohn, 2026, needs more optimization.
14 970 0.455615953962 Henry Cohn, 2026, needs more optimization.
14 971 0.455625942815 Henry Cohn, 2026, needs more optimization.
14 972 0.455631639105 Henry Cohn, 2026, needs more optimization.
14 973 0.455635598515 Henry Cohn, 2026, needs more optimization.
14 974 0.455639913304 Henry Cohn, 2026, needs more optimization.
14 975 0.455647038201 Henry Cohn, 2026, needs more optimization.
14 976 0.455654173076 Henry Cohn, 2026, needs more optimization.
14 977 0.455668757161 Henry Cohn, 2026, needs more optimization.
14 978 0.455674854033 Henry Cohn, 2026, needs more optimization.
14 979 0.455681498763 Henry Cohn, 2026, needs more optimization.
14 980 0.455684401755 Henry Cohn, 2026, needs more optimization.
14 981 0.455701618837 Henry Cohn, 2026, needs more optimization.
14 982 0.455703920731 Henry Cohn, 2026, needs more optimization.
14 983 0.455719985310 Robert Dallara, 2026.
14 984 0.455726300460 Henry Cohn, 2026, needs more optimization.
14 986 0.455726588997 Henry Cohn, 2026, needs more optimization.
14 987 0.455743069442 Henry Cohn, 2026, needs more optimization.
14 988 0.455747371607 Henry Cohn, 2026, needs more optimization.
14 989 0.455750732949 Henry Cohn, 2026, needs more optimization.
14 990 0.455753597270 Henry Cohn, 2026, needs more optimization.
14 991 0.455757066208 Henry Cohn, 2026, needs more optimization.
14 992 0.455763318725 Henry Cohn, 2026, needs more optimization.
14 993 0.455766917752 Henry Cohn, 2026, needs more optimization.
14 994 0.455770859961 Henry Cohn, 2026, needs more optimization.
14 995 0.455774601284 Henry Cohn, 2026, needs more optimization.
14 996 0.455780452420 Henry Cohn, 2026, needs more optimization.
14 997 0.455780930551 Henry Cohn, 2026, needs more optimization.
14 998 0.455784008784 Henry Cohn, 2026, needs more optimization.
14 999 0.455786929699 Henry Cohn, 2026, needs more optimization.
14 1000 0.455789370595 Henry Cohn, 2026, needs more optimization.
14 1001 0.455792306696 Henry Cohn, 2026, needs more optimization.
14 1002 0.455792427071 Henry Cohn, 2026, needs more optimization.
14 1003 0.455794315588 Henry Cohn, 2026, needs more optimization.
14 1004 0.455797724488 Henry Cohn, 2026, needs more optimization.
14 1005 0.455799255227 Henry Cohn, 2026, needs more optimization.
14 1006 0.455799341331 Henry Cohn, 2026, needs more optimization.
14 1007 0.455800733331 Henry Cohn, 2026, needs more optimization.
14 1008 0.455800814554 Henry Cohn, 2026, needs more optimization.
14 1009 0.455802667275 Henry Cohn, 2026, needs more optimization.
14 1010 0.455802741545 Henry Cohn, 2026, needs more optimization.
14 1011 0.455805288642 Henry Cohn, 2026, needs more optimization.
14 1013 0.455827845491 Robert Dallara, 2026.
14 1014 0.456024048918 Henry Cohn, 2026, needs more optimization.
14 1015 0.456089547915 Henry Cohn, 2026, needs more optimization.
14 1016 0.456161722121 Henry Cohn, 2026, needs more optimization.
14 1017 0.456330582626 Henry Cohn, 2026, needs more optimization.
14 1018 0.456339361167 Henry Cohn, 2026, needs more optimization.
14 1021 0.457279669914 Henry Cohn, 2026, needs more optimization.
14 1022 0.457580619293 Henry Cohn, 2026, needs more optimization.
14 1023 0.457585135869 Henry Cohn, 2026, needs more optimization.
14 1024 0.457589680104 Henry Cohn, 2026, needs more optimization.
15 31 0.050237120373 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
2535⁢x3−225⁢x2−15⁢x+1
15 32 0.058900808489 H. Cohn, Small spherical and projective codes, data set, 2022, DSpace@MIT, https://hdl.handle.net/1721.1/142661.
15 33 0.062706770083 Henry Cohn, 2023.
Minimal polynomial listed in plain text data
15 34 0.066570393658 Henry Cohn, 2025.
15 35 0.070509992992 Henry Cohn, 2023.
15 36 0.070779968044 Henry Cohn, 2023.
5937⁢x4+412⁢x3−202⁢x2−4⁢x+1
15 37 0.078785666352 Henry Cohn, 2025.
15 38 0.079970260232 Henry Cohn, 2026.
15 39 0.082681671944 Henry Cohn, 2023.
347087⁢x8+1080416⁢x7+305012⁢x6+3648⁢x5−20054⁢x4−160⁢x3+276⁢x2−1
15 40 0.086159367074 Henry Cohn, 2023.
15 41 0.093058707265 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
15 42 0.096774023869 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
15 43 0.099863843733 Henry Cohn, 2025.
15 44 0.099976426707 Henry Cohn, 2025.
15 45 0.102626460761 Henry Cohn, 2026.
15 46 0.110795000982 Henry Cohn, 2025.
15 47 0.111165028345 Henry Cohn, 2026.
15 48 0.112184213927 Henry Cohn, 2026.
15 52 0.112912613537 Henry Cohn, 2025.
167⁢x2−10⁢x−1
15 57 0.115470053838 Henry Cohn, 2024.
75⁢x2−1
15 58 0.119568545339 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
15 61 0.128458591981 Henry Cohn, 2025.
263⁢x2−26⁢x−1
15 62 0.129608600589 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
15 63 0.129675225483 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
15 64 0.129675935255 Henry Cohn, 2026, needs more optimization.
15 65 0.129676247045 Henry Cohn, 2026, needs more optimization.
15 66 0.142849849465 Henry Cohn, 2025.
15 67 0.144244923465 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
25⁢x2−66⁢x+9
15 68 0.146740170078 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
15 69 0.155287992922 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
193⁢x3−65⁢x2−x+1
15 70 0.160964563056 Henry Cohn, 2024.
15 73 0.161462093425 Henry Cohn, 2026.
3527⁢x2−266⁢x−49
15 74 0.168231259681 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
15 75 0.168255719819 Henry Cohn, 2026, needs more optimization.
15 76 0.168263492524 Henry Cohn, 2026, needs more optimization.
15 77 0.168269010382 Henry Cohn, 2026, needs more optimization.
15 78 0.168274222547 Henry Cohn, 2026, needs more optimization.
15 92 0.168685175113 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
47⁢x2−2⁢x−1
15 93 0.169916676995 Henry Cohn, 2025.
169⁢x4−56⁢x3−30⁢x2+1
15 94 0.186144699040 Henry Cohn, 2026, needs more optimization.
15 95 0.187077042678 Henry Cohn, 2026.
15 96 0.187885637085 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
15 97 0.188664973569 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
15 99 0.188666328567 Henry Cohn, 2026.
15 100 0.189707861448 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
15 101 0.197669721384 Arhan Canli, 2026.
15 102 0.197751520376 Henry Cohn, 2026.
4455⁢x4+7056⁢x3−8616⁢x2+2688⁢x−256
15 108 0.199301661815 Henry Cohn, 2026.
347⁢x2−24⁢x−9
15 128 0.2 T. Ericson and V. Zinoviev, Spherical codes generated by binary partitions of symmetric pointsets, IEEE Trans. Inform. Theory 41 (1995), 107–129, doi:10.1109/18.370114.
5⁢x−1
15 129 0.209693852047 Henry Cohn, 2026.
2025⁢x4−672⁢x3−312⁢x2+16
15 130 0.216435024260 Henry Cohn, 2026.
15 131 0.219738142735 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
15 132 0.221691092951 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
15 133 0.222982964951 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
15 134 0.223042839303 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
15 135 0.223068626265 Henry Cohn, 2026, needs more optimization.
15 136 0.225822528269 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
15 137 0.226886048633 Henry Cohn, 2026, needs more optimization.
15 142 0.227160244714 Henry Cohn, 2026.
75⁢x4+130⁢x3+30⁢x2−10⁢x−1
15 143 0.231969852439 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
15 144 0.235178942009 Arhan Canli, 2026.
15 145 0.237406456442 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
15 146 0.237726828468 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
15 147 0.237805658446 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
15 148 0.238424003232 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
15 149 0.238749624763 Henry Cohn, 2026, needs more optimization.
15 150 0.239511954206 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
15 151 0.239558257199 Henry Cohn, 2026, needs more optimization.
15 152 0.244361635808 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
15 153 0.245232882479 Arhan Canli, 2026.
15 156 0.248124762895 Henry Cohn, 2026, needs more optimization.
15 157 0.249069470433 Henry Cohn, 2026.
15 158 0.252500157923 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
15 159 0.252897434966 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
15 160 0.253443246579 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
15 161 0.254174550894 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
15 162 0.255968855596 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
15 163 0.256237001988 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
15 164 0.256239216599 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
15 165 0.256264995436 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
15 166 0.256265659710 Henry Cohn, 2026, needs more optimization.
15 167 0.256273890792 Arhan Canli, 2026.
15 168 0.256276532076 Arhan Canli, 2026.
15 169 0.257035710428 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
15 170 0.257064190150 Arhan Canli, 2026.
15 171 0.257517093459 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
15 172 0.257543207554 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
15 173 0.258270062887 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
15 183 0.258354910554 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
15 184 0.259525724256 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
15 185 0.259982835248 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
15 186 0.260377731948 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
15 187 0.260799052056 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
15 188 0.261259891028 Arhan Canli, 2026.
15 189 0.261669493406 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
15 190 0.261678269302 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
15 191 0.261682861222 Arhan Canli, 2026.
15 192 0.261728880471 Arhan Canli, 2026.
15 193 0.261731558469 Arhan Canli, 2026.
15 194 0.261771973594 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
15 195 0.261800246688 Henry Cohn, 2026, needs more optimization.
15 196 0.261873246406 Arhan Canli, 2026.
15 197 0.261931161757 Arhan Canli, 2026.
15 198 0.261931283207 Arhan Canli, 2026.
15 199 0.261942195760 Henry Cohn, 2026, needs more optimization.
15 200 0.263201396985 Arhan Canli, 2026.
15 201 0.263684048587 Arhan Canli, 2026.
15 202 0.264354214328 Arhan Canli, 2026.
15 203 0.264552854417 Arhan Canli, 2026.
15 204 0.264745912338 Arhan Canli, 2026.
15 205 0.264974970008 Arhan Canli, 2026.
15 206 0.265135148929 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
15 207 0.265362781064 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
15 208 0.265513024367 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
15 209 0.265651283268 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
15 214 0.265700305150 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
15 218 0.265700305150 Henry Cohn, 2026, needs more optimization.
15 219 0.266188278296 Arhan Canli, 2026.
15 220 0.266583431141 Henry Cohn, 2026.
22009⁢x6+8374⁢x5−1553⁢x4−516⁢x3−81⁢x2−18⁢x+9
15 221 0.273150769638 Henry Cohn, 2026.
1600⁢x4−1512⁢x3−792⁢x2+81
15 222 0.281854899674 Arhan Canli, 2026.
15 223 0.283023876173 Arhan Canli, 2026.
15 224 0.283850326299 Arhan Canli, 2026.
15 240 0.284034672467 Henry Cohn, 2026.
527⁢x2−118⁢x−9
15 241 0.284811975332 Henry Cohn, 2026, needs more optimization.
15 242 0.285672470103 Henry Cohn, 2026, needs more optimization.
15 243 0.286368314036 Henry Cohn, 2026, needs more optimization.
15 244 0.286850739056 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
15 245 0.287238196824 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
15 246 0.287601117830 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
15 247 0.287883854977 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
15 248 0.288361167093 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
15 249 0.291752312754 Henry Cohn, 2026, needs more optimization.
15 250 0.294425204834 Henry Cohn, 2026, needs more optimization.
15 251 0.296508364862 Henry Cohn, 2026, needs more optimization.
15 252 0.297451552586 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
15 253 0.297826351688 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
15 254 0.297925369355 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
15 256 0.297926304913 Henry Cohn, 2026.
15 257 0.301101206435 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
15 258 0.304143233195 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
15 259 0.305490507082 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
15 260 0.305826317905 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
15 261 0.308188731193 Henry Cohn, 2026, needs more optimization.
15 262 0.308895271718 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
15 263 0.309285922252 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
15 264 0.309577229343 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
15 265 0.311790966018 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
15 266 0.313196670937 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
15 267 0.314655099411 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
15 268 0.315473062934 Henry Cohn, 2026, needs more optimization.
15 269 0.315881598654 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
15 270 0.316467012865 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
15 271 0.318946389184 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
15 272 0.320918037520 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
15 273 0.323175617055 Henry Cohn, 2026, needs more optimization.
15 274 0.323714960138 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
15 275 0.324597040299 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
15 276 0.326839451577 Henry Cohn, 2026, needs more optimization.
15 277 0.329934070566 Henry Cohn, 2026, needs more optimization.
15 278 0.330616107714 Henry Cohn, 2026, needs more optimization.
15 279 0.332708961308 Henry Cohn, 2026, needs more optimization.
15 320 0.333333333334 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
3⁢x−1
15 321 0.339291275065 Henry Cohn, 2026, needs more optimization.
15 322 0.340371829041 Henry Cohn, 2026, needs more optimization.
15 323 0.341167438482 Henry Cohn, 2026, needs more optimization.
15 324 0.341829403425 Henry Cohn, 2026, needs more optimization.
15 325 0.342381304973 Henry Cohn, 2026, needs more optimization.
15 326 0.342760909641 Henry Cohn, 2026, needs more optimization.
15 327 0.343116640323 Henry Cohn, 2026, needs more optimization.
15 328 0.343550694576 Henry Cohn, 2026, needs more optimization.
15 329 0.343818881585 Henry Cohn, 2026, needs more optimization.
15 330 0.344476275382 Henry Cohn, 2026, needs more optimization.
15 331 0.345232819095 Henry Cohn, 2026, needs more optimization.
15 332 0.345738255465 Henry Cohn, 2026, needs more optimization.
15 333 0.346487078262 Henry Cohn, 2026, needs more optimization.
15 334 0.346802493034 Henry Cohn, 2026, needs more optimization.
15 335 0.347059953895 Henry Cohn, 2026, needs more optimization.
15 336 0.347469587297 Henry Cohn, 2026, needs more optimization.
15 337 0.347599288688 Henry Cohn, 2026, needs more optimization.
15 338 0.347996879749 Henry Cohn, 2026, needs more optimization.
15 339 0.348165970964 Henry Cohn, 2026, needs more optimization.
15 340 0.348370633702 Henry Cohn, 2026, needs more optimization.
15 341 0.348550070010 Henry Cohn, 2026, needs more optimization.
15 342 0.348830100054 Henry Cohn, 2026, needs more optimization.
15 343 0.349068338168 Henry Cohn, 2026, needs more optimization.
15 344 0.349234884814 Henry Cohn, 2026, needs more optimization.
15 345 0.349398570577 Henry Cohn, 2026, needs more optimization.
15 346 0.349616337173 Henry Cohn, 2026, needs more optimization.
15 347 0.350144339374 Henry Cohn, 2026, needs more optimization.
15 348 0.350468199275 Henry Cohn, 2026, needs more optimization.
15 349 0.350824219700 Henry Cohn, 2026, needs more optimization.
15 350 0.351096057004 Henry Cohn, 2026, needs more optimization.
15 351 0.351295758262 Henry Cohn, 2026, needs more optimization.
15 352 0.351434623640 Henry Cohn, 2026, needs more optimization.
15 353 0.351652786162 Henry Cohn, 2026, needs more optimization.
15 354 0.352269016770 Henry Cohn, 2026, needs more optimization.
15 355 0.352542014473 Henry Cohn, 2026, needs more optimization.
15 356 0.352743605294 Henry Cohn, 2026, needs more optimization.
15 357 0.352948143978 Henry Cohn, 2026, needs more optimization.
15 358 0.353274961980 Henry Cohn, 2026, needs more optimization.
15 359 0.353524421794 Henry Cohn, 2026, needs more optimization.
15 360 0.353747553049 Henry Cohn, 2026, needs more optimization.
15 361 0.354112578295 Henry Cohn, 2026, needs more optimization.
15 362 0.354459116110 Henry Cohn, 2026, needs more optimization.
15 363 0.354776117533 Henry Cohn, 2026, needs more optimization.
15 364 0.355061157801 Henry Cohn, 2026, needs more optimization.
15 365 0.355235154673 Henry Cohn, 2026, needs more optimization.
15 371 0.355389221956 Henry Cohn, 2026, needs more optimization.
15 372 0.355689681322 Henry Cohn, 2026, needs more optimization.
15 373 0.355789815474 Henry Cohn, 2026, needs more optimization.
15 374 0.356836172867 Henry Cohn, 2026, needs more optimization.
15 375 0.356845652172 Henry Cohn, 2026, needs more optimization.
15 376 0.357060553164 Henry Cohn, 2026, needs more optimization.
15 378 0.357369521887 Henry Cohn, 2026, needs more optimization.
15 379 0.358283294944 Henry Cohn, 2026, needs more optimization.
15 380 0.358286656568 Henry Cohn, 2026, needs more optimization.
15 381 0.360080788744 Henry Cohn, 2026, needs more optimization.
15 382 0.360734893572 Henry Cohn, 2026, needs more optimization.
15 383 0.361398740468 Henry Cohn, 2026, needs more optimization.
15 384 0.362686496058 Henry Cohn, 2026, needs more optimization.
15 385 0.362806922619 Henry Cohn, 2026, needs more optimization.
15 386 0.363440979144 Henry Cohn, 2026, needs more optimization.
15 387 0.363717893237 Henry Cohn, 2026, needs more optimization.
15 388 0.365650789607 Henry Cohn, 2026, needs more optimization.
15 390 0.365812574027 Henry Cohn, 2026, needs more optimization.
15 391 0.366751578857 Henry Cohn, 2026, needs more optimization.
15 392 0.367945346617 Henry Cohn, 2026, needs more optimization.
15 393 0.368559701634 Henry Cohn, 2026, needs more optimization.
15 394 0.368923180652 Henry Cohn, 2026, needs more optimization.
15 395 0.369455747819 Henry Cohn, 2026, needs more optimization.
15 396 0.370024819338 Henry Cohn, 2026, needs more optimization.
15 397 0.370266340379 Henry Cohn, 2026, needs more optimization.
15 424 0.370431040067 Henry Cohn, 2026.
287⁢x2−190⁢x+31
15 425 0.370431040067 A. Kravatsky, V. Khrulkov, and I. Oseledets, ImprovEvolve: basin-hopping meets LLM-guided evolutionary search, ICML 2026 AI4Math Workshop Poster, https://openreview.net/forum?id=nE1q0gRDNr, arXiv:2602.10233, after some further optimization.
287⁢x2−190⁢x+31
15 426 0.371505909804 Henry Cohn, 2026, needs more optimization.
15 427 0.373359950839 Henry Cohn, 2026, needs more optimization.
15 428 0.373373271930 Henry Cohn, 2026, needs more optimization.
15 429 0.373486545678 Henry Cohn, 2026, needs more optimization.
15 430 0.373504157837 Henry Cohn, 2026, needs more optimization.
15 431 0.373599577676 Henry Cohn, 2026, needs more optimization.
15 432 0.373941291613 Henry Cohn, 2026, needs more optimization.
15 437 0.374337555457 Henry Cohn, 2026, needs more optimization.
15 438 0.374712038725 Henry Cohn, 2026, needs more optimization.
15 439 0.374745745450 Henry Cohn, 2026, needs more optimization.
15 440 0.374777226648 Henry Cohn, 2026, needs more optimization.
15 441 0.374934717477 Henry Cohn, 2026, needs more optimization.
15 442 0.374970547360 Henry Cohn, 2026, needs more optimization.
15 443 0.375082235799 Henry Cohn, 2026, needs more optimization.
15 444 0.375113460978 Henry Cohn, 2026, needs more optimization.
15 445 0.375225223952 Henry Cohn, 2026, needs more optimization.
15 464 0.376462890261 Henry Cohn, 2026.
3864⁢x3−157⁢x2−1134⁢x+243
15 466 0.376621608297 Henry Cohn, 2026, needs more optimization.
15 467 0.381192013191 Henry Cohn, 2026, needs more optimization.
15 468 0.382726525407 Henry Cohn, 2026, needs more optimization.
15 469 0.383963261010 Henry Cohn, 2026, needs more optimization.
15 470 0.385340661355 Henry Cohn, 2026, needs more optimization.
15 471 0.386196831193 Henry Cohn, 2026, needs more optimization.
15 472 0.386904783459 Henry Cohn, 2026, needs more optimization.
15 480 0.387503295973 Henry Cohn, 2026, needs more optimization.
15 481 0.390133901117 Henry Cohn, 2026, needs more optimization.
15 485 0.392064286606 Henry Cohn, 2026, needs more optimization.
15 486 0.392419516689 Henry Cohn, 2026, needs more optimization.
15 487 0.392419808589 Henry Cohn, 2026, needs more optimization.
15 488 0.392448401669 Henry Cohn, 2026, needs more optimization.
15 489 0.392497014864 Henry Cohn, 2026, needs more optimization.
15 490 0.392498042420 Henry Cohn, 2026, needs more optimization.
15 504 0.392500407042 Henry Cohn, 2026, needs more optimization.
15 505 0.393008694522 Henry Cohn, 2026, needs more optimization.
15 506 0.393044614520 Henry Cohn, 2026, needs more optimization.
15 507 0.393140306165 Henry Cohn, 2026, needs more optimization.
15 508 0.393141735365 Henry Cohn, 2026, needs more optimization.
15 509 0.393304266649 Henry Cohn, 2026, needs more optimization.
15 510 0.393408853497 Henry Cohn, 2026, needs more optimization.
15 511 0.393737243943 Henry Cohn, 2026, needs more optimization.
15 512 0.393890969981 Henry Cohn, 2026, needs more optimization.
15 513 0.393896692645 Henry Cohn, 2026, needs more optimization.
15 514 0.394022354817 Henry Cohn, 2026, needs more optimization.
15 515 0.394053742708 Henry Cohn, 2026, needs more optimization.
15 516 0.394087483753 Robert Dallara, 2026.
15 517 0.394318851588 Henry Cohn, 2026, needs more optimization.
15 518 0.394663693965 Henry Cohn, 2026, needs more optimization.
15 519 0.394786804257 Henry Cohn, 2026, needs more optimization.
15 520 0.395011062058 Henry Cohn, 2026, needs more optimization.
15 521 0.395257927597 Henry Cohn, 2026, needs more optimization.
15 522 0.395564800711 Henry Cohn, 2026, needs more optimization.
15 523 0.395764675716 Henry Cohn, 2026, needs more optimization.
15 524 0.396030391206 Henry Cohn, 2026, needs more optimization.
15 525 0.396070056397 Henry Cohn, 2026, needs more optimization.
15 526 0.396110457731 Henry Cohn, 2026, needs more optimization.
15 527 0.396559517701 Henry Cohn, 2026, needs more optimization.
15 528 0.396569670543 Henry Cohn, 2026, needs more optimization.
15 529 0.396810833859 Henry Cohn, 2026, needs more optimization.
15 539 0.396885829618 Henry Cohn, 2026, needs more optimization.
15 540 0.398517753204 Henry Cohn, 2026, needs more optimization.
15 541 0.398592998615 Henry Cohn, 2026, needs more optimization.
15 542 0.398705770489 Henry Cohn, 2026, needs more optimization.
15 543 0.398775068893 Henry Cohn, 2026, needs more optimization.
15 544 0.399074164622 Henry Cohn, 2026, needs more optimization.
15 545 0.399113951221 Henry Cohn, 2026, needs more optimization.
15 546 0.399334737987 Henry Cohn, 2026, needs more optimization.
15 547 0.399632357995 Henry Cohn, 2026, needs more optimization.
15 672 0.4 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
5⁢x−2
15 688 0.4 Henry Cohn, 2025, by enlarging a code from T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
5⁢x−2
15 689 0.404117037740 Henry Cohn, 2026.
768⁢x9−3328⁢x8−1152⁢x7+896⁢x6+528⁢x5+16⁢x4−72⁢x3−8⁢x2+3⁢x−1
15 690 0.407439006123 Henry Cohn, 2026, needs more optimization.
15 691 0.410953440907 Henry Cohn, 2026, needs more optimization.
15 692 0.413562841434 Henry Cohn, 2026, needs more optimization.
15 694 0.414076100350 Henry Cohn, 2026, needs more optimization.
15 695 0.414411071591 Henry Cohn, 2026, needs more optimization.
15 696 0.414653961074 Henry Cohn, 2026, needs more optimization.
15 697 0.415696575572 Henry Cohn, 2026, needs more optimization.
15 698 0.416621652264 Henry Cohn, 2026, needs more optimization.
15 699 0.417743389959 Henry Cohn, 2026, needs more optimization.
15 700 0.417752248085 Henry Cohn, 2026, needs more optimization.
15 701 0.418064004101 Henry Cohn, 2026, needs more optimization.
15 702 0.418401270054 Henry Cohn, 2026, needs more optimization.
15 703 0.418583314071 Henry Cohn, 2026, needs more optimization.
15 704 0.418803944473 Henry Cohn, 2026, needs more optimization.
15 705 0.419255252979 Henry Cohn, 2026, needs more optimization.
15 706 0.419312624762 Henry Cohn, 2026, needs more optimization.
15 707 0.420428787764 Henry Cohn, 2026, needs more optimization.
15 708 0.420578527371 Henry Cohn, 2026, needs more optimization.
15 710 0.420657296467 Henry Cohn, 2026, needs more optimization.
15 712 0.421046822454 Henry Cohn, 2026, needs more optimization.
15 713 0.421326291341 Henry Cohn, 2026, needs more optimization.
15 714 0.421440733569 Henry Cohn, 2026, needs more optimization.
15 718 0.421598003938 Henry Cohn, 2026, needs more optimization.
15 719 0.422630884809 Henry Cohn, 2026, needs more optimization.
15 720 0.422817771245 Henry Cohn, 2026, needs more optimization.
15 721 0.423000731740 Henry Cohn, 2026, needs more optimization.
15 722 0.423247445283 Henry Cohn, 2026, needs more optimization.
15 723 0.423564812740 Henry Cohn, 2026, needs more optimization.
15 724 0.423840230184 Henry Cohn, 2026, needs more optimization.
15 725 0.423958786416 Henry Cohn, 2026, needs more optimization.
15 726 0.424346141112 Henry Cohn, 2026, needs more optimization.
15 727 0.424521048688 Henry Cohn, 2026, needs more optimization.
15 728 0.424714697353 Henry Cohn, 2026, needs more optimization.
15 729 0.425034587197 Henry Cohn, 2026, needs more optimization.
15 730 0.425114753819 Henry Cohn, 2026, needs more optimization.
15 731 0.425312384717 Henry Cohn, 2026, needs more optimization.
15 732 0.425480529642 Henry Cohn, 2026, needs more optimization.
15 733 0.425629425492 Henry Cohn, 2026, needs more optimization.
15 734 0.425816152864 Henry Cohn, 2026, needs more optimization.
15 735 0.426015164468 Henry Cohn, 2026, needs more optimization.
15 736 0.426104536790 Henry Cohn, 2026, needs more optimization.
15 737 0.426443764219 Henry Cohn, 2026, needs more optimization.
15 738 0.426650020376 Henry Cohn, 2026, needs more optimization.
15 739 0.426758052230 Henry Cohn, 2026, needs more optimization.
15 740 0.427037429709 Henry Cohn, 2026, needs more optimization.
15 741 0.427282268298 Henry Cohn, 2026, needs more optimization.
15 742 0.427342042011 Robert Dallara, 2026.
15 744 0.427610255823 Henry Cohn, 2026, needs more optimization.
15 745 0.427688866277 Henry Cohn, 2026, needs more optimization.
15 746 0.427953687656 Henry Cohn, 2026, needs more optimization.
15 747 0.428041132437 Henry Cohn, 2026, needs more optimization.
15 748 0.428318681173 Henry Cohn, 2026, needs more optimization.
15 749 0.428527492231 Henry Cohn, 2026, needs more optimization.
15 990 0.428571428572 T. Ericson and V. Zinoviev, Spherical codes generated by binary partitions of symmetric pointsets, IEEE Trans. Inform. Theory 41 (1995), 107–129, doi:10.1109/18.370114.
7⁢x−3
15 991 0.439533617266 Henry Cohn, 2026, needs more optimization.
15 992 0.442250846723 Henry Cohn, 2026, needs more optimization.
15 993 0.445282649619 Henry Cohn, 2026, needs more optimization.
15 994 0.446043457030 Henry Cohn, 2026, needs more optimization.
15 995 0.446737400181 Henry Cohn, 2026, needs more optimization.
15 999 0.446753004097 Henry Cohn, 2026, needs more optimization.
15 1000 0.450504842608 Henry Cohn, 2026, needs more optimization.
15 1001 0.451682623395 Henry Cohn, 2026, needs more optimization.
15 1024 0.454545454546 C. Ma, T. Tao Z., P. Li, M. Liu, H. Chen, Z. Mao, Y. Cheng, Y. Qi, and Y. Yang, Finding kissing numbers with game-theoretic reinforcement learning, preprint, 2025, arXiv:2511.13391.
11⁢x−5
16 33 0.047421028894 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
3136⁢x3−256⁢x2−16⁢x+1
16 34 0.055555555556 T. Ericson and V. Zinoviev, Spherical codes generated by binary partitions of symmetric pointsets, IEEE Trans. Inform. Theory 41 (1995), 107–129, doi:10.1109/18.370114.
18⁢x−1
16 36 0.056002309435 Henry Cohn, 2023.
176⁢x2+8⁢x−1
16 38 0.065186804094 Henry Cohn, 2023.
7312⁢x4+864⁢x3−200⁢x2−8⁢x+1
16 39 0.074285234713 Henry Cohn, 2025.
16 40 0.077433436468 Henry Cohn, 2024.
16 41 0.078328485376 Henry Cohn, 2023.
16 42 0.084589607356 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
16 44 0.085376587737 Henry Cohn, 2023.
512⁢x2−32⁢x−1
16 45 0.090651346396 Henry Cohn, 2023.
Minimal polynomial listed in plain text data
16 46 0.093714773474 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
793984⁢x8+2769888⁢x7−316860⁢x6−393992⁢x5−62620⁢x4−1308⁢x3+460⁢x2+40⁢x+1
16 47 0.097443031003 Henry Cohn, 2025.
16 48 0.098771717854 Henry Cohn, 2023.
143⁢x2−4⁢x−1
16 49 0.104996942285 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
16 50 0.108589157773 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
16 51 0.110326320630 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
16 52 0.111429561416 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
16 53 0.112355100713 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
16 54 0.112897448890 Henry Cohn, 2026.
16 55 0.113130733100 Henry Cohn, 2026.
Minimal polynomial listed in plain text data
16 58 0.113835450316 Henry Cohn, 2026.
288⁢x2−24⁢x−1
16 59 0.115465967185 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
16 60 0.115470027179 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
16 61 0.119282864595 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
16 62 0.125768177302 Henry Cohn, 2025.
16 63 0.127280504668 Henry Cohn, 2026, needs more optimization.
16 74 0.127284656799 Henry Cohn, 2023.
156⁢x2−12⁢x−1
16 75 0.142327657262 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
16 76 0.155902723844 Henry Cohn, 2026, needs more optimization.
16 77 0.156169461704 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
16 78 0.156302278803 Arhan Canli, 2026.
16 79 0.156684314945 Henry Cohn, 2026, needs more optimization.
16 80 0.156933571315 Henry Cohn, 2026, needs more optimization.
16 81 0.157220506242 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
16 82 0.158219981270 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
16 83 0.158831583908 Henry Cohn, 2026.
Minimal polynomial listed in plain text data
16 84 0.159473252851 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
17856⁢x3+2064⁢x2−476⁢x−49
16 85 0.161129083237 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
16 86 0.168620878848 Arhan Canli, 2026.
16 87 0.168626154050 Henry Cohn, 2026, needs more optimization.
16 88 0.168628803040 Arhan Canli, 2026.
16 89 0.168633914730 Henry Cohn, 2026, needs more optimization.
16 90 0.168641828832 Henry Cohn, 2026, needs more optimization.
16 91 0.168681637204 Henry Cohn, 2026, needs more optimization.
16 92 0.168684604646 Henry Cohn, 2025, needs more optimization.
16 93 0.168684770980 Arhan Canli, 2026.
16 94 0.168684943106 Henry Cohn, 2026, needs more optimization.
16 95 0.168685174869 Arhan Canli, 2026.
16 96 0.168685177103 Henry Cohn, 2026, needs more optimization.
16 97 0.169880657610 Henry Cohn, 2026, needs more optimization.
16 102 0.170753175474 Henry Cohn, 2026.
128⁢x2−16⁢x−1
16 103 0.174178397911 Henry Cohn, 2026.
2025⁢x4−180⁢x3−116⁢x2−8⁢x+4
16 104 0.179202077062 Henry Cohn, 2026.
16 105 0.183397573886 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
16 106 0.185700040468 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
16 107 0.188003446628 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
16 108 0.190646755749 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
16 109 0.191574078335 Henry Cohn, 2026, needs more optimization.
16 110 0.192006792520 Arhan Canli, 2026.
16 111 0.192290990057 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
16 112 0.192356862480 Arhan Canli, 2026.
16 113 0.192449549980 Arhan Canli, 2026.
16 114 0.192449657417 Arhan Canli, 2026.
16 115 0.192449738206 Arhan Canli, 2026.
16 116 0.192449821645 Arhan Canli, 2026.
16 117 0.192449865986 Arhan Canli, 2026.
16 118 0.192450089730 Henry Cohn, 2026.
27⁢x2−1
16 122 0.198089808558 Kevin Li, 2026.
167044⁢x4+7656⁢x3−8896⁢x2−84⁢x+49
16 123 0.199971258225 Arhan Canli, 2026.
16 124 0.199989165718 Henry Cohn, 2026, needs more optimization.
16 125 0.199991082493 Arhan Canli, 2026.
16 126 0.199992200342 Arhan Canli, 2026.
16 127 0.199995845425 Henry Cohn, 2025, needs more optimization.
16 128 0.199997655795 Uploaded by anonymous internet user, 2026.
16 129 0.199999698652 Henry Cohn, 2026, needs more optimization.
16 130 0.199999918321 Henry Cohn, 2025, needs more optimization.
16 132 0.2 Henry Cohn, 2026.
5⁢x−1
16 133 0.201680197728 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
16 159 0.202913709779 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
44⁢x2−4⁢x−1
16 160 0.204972875483 Henry Cohn, 2026, needs more optimization.
16 161 0.221562135223 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
16 162 0.229540738948 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
16 165 0.230995927542 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
744016⁢x8−1439648⁢x7+1078648⁢x6−387608⁢x5+60577⁢x4+460⁢x3−1250⁢x2+100⁢x+1
16 166 0.234433486339 Vadim Borisov, 2026, https://numaro.tech/.
16 169 0.236031010307 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
16 170 0.237448797461 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
16 171 0.238394471457 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
16 173 0.239265173403 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
16 174 0.241218958758 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
16 175 0.242225294068 Vadim Borisov, 2026, https://numaro.tech/.
16 176 0.244612784400 Arhan Canli, 2026.
16 177 0.245298922997 Arhan Canli, 2026.
16 178 0.245466691906 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
16 179 0.245487596180 Arhan Canli, 2026.
16 180 0.245673192162 Arhan Canli, 2026.
16 181 0.245803620272 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
16 182 0.246088109683 Arhan Canli, 2026.
16 183 0.246219426625 Arhan Canli, 2026.
16 184 0.246421830164 Arhan Canli, 2026.
16 185 0.246684267323 Arhan Canli, 2026.
16 186 0.246791395919 Arhan Canli, 2026.
16 187 0.246973040700 Arhan Canli, 2026.
16 188 0.247164034547 Arhan Canli, 2026.
16 189 0.247268736653 Arhan Canli, 2026.
16 190 0.247337894721 Arhan Canli, 2026.
16 191 0.248282850170 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
16 192 0.248473734545 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
16 193 0.248654201905 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
16 194 0.248893790902 Henry Cohn, 2026, needs more optimization.
16 195 0.249048060662 Henry Cohn, 2026, needs more optimization.
16 196 0.249197005318 Arhan Canli, 2026.
16 197 0.249334243800 Henry Cohn, 2026, needs more optimization.
16 198 0.249443278267 Arhan Canli, 2026.
16 199 0.249638629612 Arhan Canli, 2026.
16 200 0.249685057942 Arhan Canli, 2026.
16 201 0.249778831773 Arhan Canli, 2026.
16 202 0.249819385355 Arhan Canli, 2026.
16 203 0.249874098740 Arhan Canli, 2026.
16 204 0.249906402421 Arhan Canli, 2026.
16 205 0.249928983153 Arhan Canli, 2026.
16 206 0.249969835076 Arhan Canli, 2026.
16 207 0.249976693124 Arhan Canli, 2026.
16 208 0.249982735522 Arhan Canli, 2026.
16 209 0.249987556030 Arhan Canli, 2026.
16 211 0.249991412897 Arhan Canli, 2026.
16 288* 0.25 V. I. Levenšteĭn, Bounds for the maximal cardinality of a code with bounded modulus of the inner product (Russian), Dokl. Akad. Nauk SSSR 263 (1982), 1303–1308, English translation in Soviet Math. Dokl. 25 (1982), 526–531; H. Cohn, D. de Laat, and N. Leijenhorst, Optimality of spherical codes via exact semidefinite programming bounds, preprint, 2024, arXiv:2403.16874.
4⁢x−1
16 289 0.285672436063 Henry Cohn, 2026, needs more optimization.
16 290 0.288751039799 Henry Cohn, 2026, needs more optimization.
16 291 0.294585849188 Henry Cohn, 2026, needs more optimization.
16 292 0.294705214502 Henry Cohn, 2026, needs more optimization.
16 294 0.294888199065 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
16 295 0.296913508732 Henry Cohn, 2026, needs more optimization.
16 296 0.298636022459 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
16 297 0.302354275846 Henry Cohn, 2026, needs more optimization.
16 301 0.302456657937 Henry Cohn, 2026, needs more optimization.
16 302 0.302628554368 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
16 303 0.308227749732 Henry Cohn, 2026, needs more optimization.
16 312 0.308244047741 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
16 313 0.308876104731 Henry Cohn, 2026, needs more optimization.
16 314 0.310247708300 Henry Cohn, 2026, needs more optimization.
16 315 0.311921531890 Henry Cohn, 2026, needs more optimization.
16 316 0.313216726264 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
16 317 0.317286686685 Henry Cohn, 2026, needs more optimization.
16 318 0.319992163571 Henry Cohn, 2026, needs more optimization.
16 319 0.321890745572 Henry Cohn, 2026, needs more optimization.
16 320 0.323044390878 Henry Cohn, 2026, needs more optimization.
16 322 0.326026126392 Henry Cohn, 2026, needs more optimization.
16 323 0.327783364534 Henry Cohn, 2026, needs more optimization.
16 324 0.328119135214 Henry Cohn, 2026, needs more optimization.
16 325 0.328241290519 Henry Cohn, 2026, needs more optimization.
16 326 0.328326212052 Henry Cohn, 2026, needs more optimization.
16 327 0.328433340142 Henry Cohn, 2026, needs more optimization.
16 328 0.328551346980 Henry Cohn, 2026, needs more optimization.
16 329 0.328725591468 Henry Cohn, 2026, needs more optimization.
16 330 0.328798518354 Henry Cohn, 2026, needs more optimization.
16 340 0.328947368422 Henry Cohn, 2026.
76⁢x−25
16 341 0.329841910939 Henry Cohn, 2026, needs more optimization.
16 342 0.329865525770 Henry Cohn, 2026, needs more optimization.
16 344 0.329923298887 Henry Cohn, 2026, needs more optimization.
16 345 0.330011119222 Henry Cohn, 2026, needs more optimization.
16 346 0.330313131248 Henry Cohn, 2026, needs more optimization.
16 347 0.330592196318 Henry Cohn, 2026, needs more optimization.
16 348 0.330592576248 Henry Cohn, 2026, needs more optimization.
16 349 0.330748234050 Henry Cohn, 2026, needs more optimization.
16 350 0.330890131214 Henry Cohn, 2026, needs more optimization.
16 351 0.330902972675 Henry Cohn, 2026, needs more optimization.
16 352 0.331032539102 Henry Cohn, 2026, needs more optimization.
16 353 0.331245892625 Henry Cohn, 2026, needs more optimization.
16 354 0.331531972971 Henry Cohn, 2026, needs more optimization.
16 355 0.331678923610 Henry Cohn, 2026, needs more optimization.
16 356 0.331727264576 Henry Cohn, 2026, needs more optimization.
16 357 0.331818683451 Henry Cohn, 2026, needs more optimization.
16 358 0.332027307535 Henry Cohn, 2026, needs more optimization.
16 359 0.332083061792 Henry Cohn, 2026, needs more optimization.
16 360 0.332246883657 Henry Cohn, 2026, needs more optimization.
16 361 0.332491609332 Henry Cohn, 2026, needs more optimization.
16 362 0.332564239544 Henry Cohn, 2026, needs more optimization.
16 363 0.332718819605 Henry Cohn, 2026, needs more optimization.
16 364 0.332750317597 Henry Cohn, 2026, needs more optimization.
16 365 0.332907970091 Henry Cohn, 2026, needs more optimization.
16 366 0.332929831991 Henry Cohn, 2026, needs more optimization.
16 367 0.332970817027 Henry Cohn, 2026, needs more optimization.
16 368 0.333067642390 Henry Cohn, 2026, needs more optimization.
16 369 0.333176709719 Henry Cohn, 2026, needs more optimization.
16 370 0.333194234746 Henry Cohn, 2026, needs more optimization.
16 512 0.333333333334 T. Ericson and V. Zinoviev, Spherical codes generated by binary partitions of symmetric pointsets, IEEE Trans. Inform. Theory 41 (1995), 107–129, doi:10.1109/18.370114.
3⁢x−1
16 513 0.350751377432 Henry Cohn, 2026, needs more optimization.
16 514 0.351224881026 Henry Cohn, 2026, needs more optimization.
16 515 0.352910081961 Henry Cohn, 2026, needs more optimization.
16 516 0.354163546285 Henry Cohn, 2026, needs more optimization.
16 517 0.356580752265 Henry Cohn, 2026, needs more optimization.
16 518 0.358500148868 Henry Cohn, 2026, needs more optimization.
16 519 0.358882914422 Henry Cohn, 2026, needs more optimization.
16 520 0.359930446537 Henry Cohn, 2026, needs more optimization.
16 521 0.360636880734 Henry Cohn, 2026, needs more optimization.
16 522 0.360829318348 Henry Cohn, 2026, needs more optimization.
16 523 0.361223521155 Henry Cohn, 2026, needs more optimization.
16 524 0.362554948512 Henry Cohn, 2026, needs more optimization.
16 525 0.362990798044 Henry Cohn, 2026, needs more optimization.
16 526 0.363464367443 Henry Cohn, 2026, needs more optimization.
16 527 0.363996437350 Henry Cohn, 2026, needs more optimization.
16 528 0.364541560808 Henry Cohn, 2026, needs more optimization.
16 529 0.365191173767 Henry Cohn, 2026, needs more optimization.
16 530 0.365497998999 Henry Cohn, 2026, needs more optimization.
16 531 0.365821801559 Henry Cohn, 2026, needs more optimization.
16 532 0.366424320257 Henry Cohn, 2026, needs more optimization.
16 533 0.366969435220 Henry Cohn, 2026, needs more optimization.
16 534 0.367325524962 Henry Cohn, 2026, needs more optimization.
16 535 0.367805905753 Henry Cohn, 2026, needs more optimization.
16 536 0.368165363901 Henry Cohn, 2026, needs more optimization.
16 537 0.368381719458 Henry Cohn, 2026, needs more optimization.
16 538 0.369121768075 Henry Cohn, 2026, needs more optimization.
16 567 0.369248411466 Henry Cohn, 2026.
29⁢x2−8⁢x−1
16 575 0.375 C. Ma, T. Tao Z., P. Li, M. Liu, H. Chen, Z. Mao, Y. Cheng, Y. Qi, and Y. Yang, Finding kissing numbers with game-theoretic reinforcement learning, preprint, 2025, arXiv:2511.13391.
8⁢x−3
16 625 0.375 Henry Cohn, 2026.
8⁢x−3
16 626 0.378830899697 Henry Cohn, 2026, needs more optimization.
16 627 0.379607020063 Henry Cohn, 2026, needs more optimization.
16 628 0.380188795159 Henry Cohn, 2026, needs more optimization.
16 629 0.381045663466 Henry Cohn, 2026, needs more optimization.
16 630 0.381734639223 Henry Cohn, 2026, needs more optimization.
16 631 0.382136255530 Henry Cohn, 2026, needs more optimization.
16 632 0.382439630310 Henry Cohn, 2026, needs more optimization.
16 633 0.382768824201 Henry Cohn, 2026, needs more optimization.
16 634 0.382947390455 Henry Cohn, 2026, needs more optimization.
16 635 0.383376098035 Henry Cohn, 2026, needs more optimization.
16 636 0.384000756393 Henry Cohn, 2026, needs more optimization.
16 642 0.384615384616 C. Ma, T. Tao Z., P. Li, M. Liu, H. Chen, Z. Mao, Y. Cheng, Y. Qi, and Y. Yang, Finding kissing numbers with game-theoretic reinforcement learning, preprint, 2025, arXiv:2511.13391.
13⁢x−5
16 643 0.386118035593 Henry Cohn, 2026, needs more optimization.
16 644 0.386248245406 Henry Cohn, 2026, needs more optimization.
16 645 0.386388384679 Henry Cohn, 2026, needs more optimization.
16 646 0.386534279883 Henry Cohn, 2026, needs more optimization.
16 647 0.386695806671 Robert Dallara, 2026.
16 648 0.386995126766 Henry Cohn, 2026, needs more optimization.
16 649 0.387287852496 Henry Cohn, 2026, needs more optimization.
16 650 0.387319449177 Henry Cohn, 2026, needs more optimization.
16 651 0.387366175902 Henry Cohn, 2026, needs more optimization.
16 652 0.387380477577 Henry Cohn, 2026, needs more optimization.
16 653 0.387425375239 Henry Cohn, 2026, needs more optimization.
16 654 0.387486427043 Henry Cohn, 2026, needs more optimization.
16 655 0.387546688221 Henry Cohn, 2026, needs more optimization.
16 656 0.387674952382 Henry Cohn, 2026, needs more optimization.
16 657 0.387739198771 Henry Cohn, 2026, needs more optimization.
16 658 0.387815055847 Henry Cohn, 2026, needs more optimization.
16 659 0.387959550547 Henry Cohn, 2026, needs more optimization.
16 660 0.388000671448 Henry Cohn, 2026, needs more optimization.
16 661 0.388127423633 Henry Cohn, 2026, needs more optimization.
16 662 0.388283835248 Henry Cohn, 2026, needs more optimization.
16 663 0.388321516326 Henry Cohn, 2026, needs more optimization.
16 664 0.388333661963 Henry Cohn, 2026, needs more optimization.
16 667 0.388354050854 Henry Cohn, 2026, needs more optimization.
16 668 0.388465843052 Henry Cohn, 2026, needs more optimization.
16 669 0.388571895680 Henry Cohn, 2026, needs more optimization.
16 670 0.388664655324 Henry Cohn, 2026, needs more optimization.
16 672 0.388708732528 Henry Cohn, 2026, needs more optimization.
16 673 0.388872486163 Henry Cohn, 2026, needs more optimization.
16 674 0.388930828019 Henry Cohn, 2026, needs more optimization.
16 676 0.390175361249 Henry Cohn, 2026, needs more optimization.
16 680 0.390389309933 Henry Cohn, 2026, needs more optimization.
16 687 0.390542372755 Henry Cohn, 2026, needs more optimization.
16 690 0.390911474262 Henry Cohn, 2026, needs more optimization.
16 691 0.391095723386 Henry Cohn, 2026, needs more optimization.
16 692 0.391145344532 Henry Cohn, 2026, needs more optimization.
16 693 0.391258147835 Henry Cohn, 2026, needs more optimization.
16 694 0.391316622640 Henry Cohn, 2026, needs more optimization.
16 695 0.391374938547 Henry Cohn, 2026, needs more optimization.
16 698 0.391407033160 Henry Cohn, 2026, needs more optimization.
16 702 0.391602506755 Henry Cohn, 2026, needs more optimization.
16 703 0.392535628845 Henry Cohn, 2026, needs more optimization.
16 708 0.393155654776 Henry Cohn, 2026, needs more optimization.
16 709 0.393629211591 Henry Cohn, 2026, needs more optimization.
16 714 0.393723114418 Henry Cohn, 2026, needs more optimization.
16 715 0.393915707474 Henry Cohn, 2026, needs more optimization.
16 716 0.395550019933 Henry Cohn, 2026, needs more optimization.
16 719 0.395761556861 Henry Cohn, 2026, needs more optimization.
16 720 0.396498523759 Henry Cohn, 2026, needs more optimization.
16 721 0.396657432974 Henry Cohn, 2026, needs more optimization.
16 722 0.396855497570 Henry Cohn, 2026, needs more optimization.
16 726 0.397080255510 Henry Cohn, 2026, needs more optimization.
16 727 0.398023196458 Henry Cohn, 2026, needs more optimization.
16 729 0.398119413196 Henry Cohn, 2026, needs more optimization.
16 768 0.4 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
5⁢x−2
16 769 0.4 Henry Cohn, 2025, by enlarging a code from T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
5⁢x−2
16 771 0.4 C. Ma, T. Tao Z., P. Li, M. Liu, H. Chen, Z. Mao, Y. Cheng, Y. Qi, and Y. Yang, Finding kissing numbers with game-theoretic reinforcement learning, preprint, 2025, arXiv:2511.13391.
5⁢x−2
16 772 0.400742606578 Henry Cohn, 2026, needs more optimization.
16 773 0.400873361108 Henry Cohn, 2026, needs more optimization.
16 774 0.400992548177 Henry Cohn, 2026, needs more optimization.
16 775 0.401162120837 Henry Cohn, 2026, needs more optimization.
16 776 0.401217567566 Henry Cohn, 2026, needs more optimization.
16 777 0.401284679260 Henry Cohn, 2026, needs more optimization.
16 778 0.401308680597 Henry Cohn, 2026, needs more optimization.
16 779 0.401369234356 Henry Cohn, 2026, needs more optimization.
16 780 0.401423342067 Henry Cohn, 2026, needs more optimization.
16 781 0.401536671766 Henry Cohn, 2026, needs more optimization.
16 782 0.401537678787 Henry Cohn, 2026, needs more optimization.
16 783 0.401708134134 Henry Cohn, 2026, needs more optimization.
16 784 0.401769315817 Henry Cohn, 2026, needs more optimization.
16 785 0.401880732432 Henry Cohn, 2026, needs more optimization.
16 786 0.401933177467 Henry Cohn, 2026, needs more optimization.
16 787 0.402149110478 Henry Cohn, 2026, needs more optimization.
16 788 0.402208292740 Henry Cohn, 2026, needs more optimization.
16 789 0.402347215735 Henry Cohn, 2026, needs more optimization.
16 790 0.406438414741 Henry Cohn, 2026, needs more optimization.
16 796 0.407020921790 Henry Cohn, 2026, needs more optimization.
16 804 0.407806073079 Henry Cohn, 2026, needs more optimization.
16 814 0.408969326217 Henry Cohn, 2026, needs more optimization.
16 815 0.409231668614 Henry Cohn, 2026, needs more optimization.
16 820 0.409374326140 Henry Cohn, 2026, needs more optimization.
16 826 0.410212268415 Henry Cohn, 2026, needs more optimization.
16 827 0.412742563973 Henry Cohn, 2026, needs more optimization.
16 838 0.413027283764 Robert Dallara, 2026.
16 839 0.414804330965 Henry Cohn, 2026, needs more optimization.
16 852 0.414805227512 Henry Cohn, 2026, needs more optimization.
16 862 0.415833251666 Henry Cohn, 2026, needs more optimization.
16 863 0.416106292973 Henry Cohn, 2026, needs more optimization.
16 864 0.416149244668 Henry Cohn, 2026, needs more optimization.
16 865 0.420393389027 Henry Cohn, 2026, needs more optimization.
16 866 0.421034905337 Henry Cohn, 2026, needs more optimization.
16 915 0.423076923077 C. Ma, T. Tao Z., P. Li, M. Liu, H. Chen, Z. Mao, Y. Cheng, Y. Qi, and Y. Yang, Finding kissing numbers with game-theoretic reinforcement learning, preprint, 2025, arXiv:2511.13391.
26⁢x−11
16 916 0.425366930717 Henry Cohn, 2026, needs more optimization.
16 917 0.426339995337 Henry Cohn, 2026, needs more optimization.
16 918 0.426349751037 Henry Cohn, 2026, needs more optimization.
16 919 0.427175611893 Henry Cohn, 2026, needs more optimization.
16 920 0.427428309743 Henry Cohn, 2026, needs more optimization.
16 921 0.427714547128 Henry Cohn, 2026, needs more optimization.
16 922 0.427890424049 Henry Cohn, 2026, needs more optimization.
16 1024 0.428571428572 Subcode of a code of size 1056 from T. Ericson and V. Zinoviev, Spherical codes generated by binary partitions of symmetric pointsets, IEEE Trans. Inform. Theory 41 (1995), 107–129, doi:10.1109/18.370114.
7⁢x−3
17 35 0.044915529038 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
3825⁢x3−289⁢x2−17⁢x+1
17 36 0.052701899358 Henry Cohn, 2025.
17 37 0.055949316790 Henry Cohn, 2026.
17 38 0.055983875620 Henry Cohn, 2025.
17 39 0.062879614874 Henry Cohn, 2024.
17 40 0.064963088389 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
17 41 0.070153821556 Henry Cohn, 2025.
17 42 0.073269797523 Henry Cohn, 2025.
17 45 0.073591871415 Henry Cohn, 2023.
239⁢x2−4⁢x−1
17 46 0.080184930575 Henry Cohn, 2026.
17 52 0.084342587557 Henry Cohn, 2023.
188⁢x2−4⁢x−1
17 53 0.098937215086 Henry Cohn, 2024.
2304⁢x4−96⁢x3−95⁢x2−2⁢x+1
17 55 0.099686435548 Henry Cohn, 2026.
153⁢x4+480⁢x3−150⁢x2+1
17 56 0.102993455487 Henry Cohn, 2026.
17 57 0.104796880087 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
17 58 0.108405584144 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
17 64 0.111111111112 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
9⁢x−1
17 65 0.120819518077 Henry Cohn, 2026.
17 66 0.124443665548 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
17 67 0.125752950711 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
17 68 0.126755758940 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
17 69 0.127153183547 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
17 70 0.127263309273 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
17 71 0.127270310008 Henry Cohn, 2025.
17 72 0.127276381331 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
17 73 0.127278697335 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
17 74 0.127282531626 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
17 75 0.127283313870 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
17 76 0.127284594470 Henry Cohn, 2026, needs more optimization.
17 77 0.127301897398 Henry Cohn, 2026, needs more optimization.
17 78 0.135229770561 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
17 79 0.142555991333 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
17 80 0.146645607044 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
17 81 0.149798231118 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
17 82 0.149928691329 Henry Cohn, 2026, needs more optimization.
17 83 0.149970574468 Henry Cohn, 2026, needs more optimization.
17 84 0.149993147703 Henry Cohn, 2026, needs more optimization.
17 85 0.149997638689 Henry Cohn, 2026, needs more optimization.
17 86 0.149999048086 Henry Cohn, 2026, needs more optimization.
17 87 0.151340636556 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
3294225⁢x8+72600⁢x7−14520⁢x6−87120⁢x5−10990⁢x4+20⁢x3+120⁢x2+9
17 88 0.156158056242 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
17 89 0.158627365814 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
17 90 0.163938738308 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
17 91 0.165647079245 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
17 93 0.165769115717 Henry Cohn, 2026, needs more optimization.
17 94 0.166861153292 Henry Cohn, 2026, needs more optimization.
17 95 0.167517697396 Arhan Canli, 2026.
17 96 0.167984478675 Arhan Canli, 2026.
17 97 0.168471952633 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
17 98 0.168527032249 Henry Cohn, 2026, needs more optimization.
17 99 0.168592208113 Arhan Canli, 2026.
17 100 0.168656696991 Henry Cohn, 2026, needs more optimization.
17 101 0.168685133552 Henry Cohn, 2026, needs more optimization.
17 102 0.169570867256 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
17 103 0.170712844806 Arhan Canli, 2026.
17 104 0.170741086221 Arhan Canli, 2026.
17 105 0.170744970485 Arhan Canli, 2026.
17 106 0.170749505610 Arhan Canli, 2026.
17 107 0.170757524719 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
17 108 0.174934103786 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
17 109 0.177558450562 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
17 110 0.179792416049 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
17 111 0.182361554034 Arhan Canli, 2026.
17 115 0.184252183279 Henry Cohn, 2026.
1991⁢x2−318⁢x−9
17 116 0.184847525793 Henry Cohn, 2026, needs more optimization.
17 117 0.186580978028 Henry Cohn, 2026, needs more optimization.
17 118 0.187721373339 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
17 119 0.189940924423 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
17 120 0.190639223530 Arhan Canli, 2026.
17 121 0.192191226811 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
17 122 0.192354734154 Henry Cohn, 2026, needs more optimization.
17 123 0.192437259970 Henry Cohn, 2026, needs more optimization.
17 124 0.192908020459 Henry Cohn, 2026, needs more optimization.
17 125 0.192908041216 Henry Cohn, 2026, needs more optimization.
17 126 0.192979029649 Henry Cohn, 2026, needs more optimization.
17 127 0.193824733455 Henry Cohn, 2026, needs more optimization.
17 128 0.195734935764 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
17 129 0.196692528287 Henry Cohn, 2026, needs more optimization.
17 130 0.197510829950 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
17 131 0.198825234025 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
17 132 0.198981846942 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
17 133 0.199551976728 Henry Cohn, 2026, needs more optimization.
17 134 0.199766810902 Henry Cohn, 2026, needs more optimization.
17 135 0.199801189773 Arhan Canli, 2026.
17 136 0.199963684640 Arhan Canli, 2026.
17 137 0.199982475094 Arhan Canli, 2026.
17 139 0.199999226808 Henry Cohn, 2026, needs more optimization.
17 140 0.200087332228 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
17 141 0.201562902712 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
17 142 0.202807941098 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
17 143 0.202854773677 Arhan Canli, 2026.
17 144 0.202857239209 Arhan Canli, 2026.
17 145 0.202862757862 Arhan Canli, 2026.
17 146 0.202864009709 Arhan Canli, 2026.
17 147 0.202867836556 Arhan Canli, 2026.
17 148 0.202874144026 Arhan Canli, 2026.
17 149 0.202876850074 Arhan Canli, 2026.
17 150 0.202893229703 Arhan Canli, 2026.
17 151 0.202896251801 Arhan Canli, 2026.
17 152 0.202897703499 Arhan Canli, 2026.
17 153 0.202906317138 Arhan Canli, 2026.
17 154 0.202908137512 Arhan Canli, 2026.
17 155 0.202909290303 Arhan Canli, 2026.
17 156 0.202910245933 Arhan Canli, 2026.
17 157 0.202910861837 Arhan Canli, 2026.
17 158 0.202911797432 Henry Cohn, 2026, needs more optimization.
17 159 0.202913168631 Henry Cohn, 2026, needs more optimization.
17 164 0.202913709779 Henry Cohn, 2026.
44⁢x2−4⁢x−1
17 165 0.203268795206 Arhan Canli, 2026.
17 166 0.209186347459 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
17 167 0.209346080043 Arhan Canli, 2026.
17 168 0.209696026937 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
17 177 0.214580576913 Henry Cohn, 2026.
59⁢x2−8⁢x−1
17 178 0.215890665682 Henry Cohn, 2026, needs more optimization.
17 179 0.223726599662 Arhan Canli, 2026.
17 180 0.224730193932 Arhan Canli, 2026.
17 181 0.227566356043 Arhan Canli, 2026.
17 190 0.228481712325 Henry Cohn, 2026.
38025⁢x6+44850⁢x5−29537⁢x4−28836⁢x3−441⁢x2+1458⁢x+81
17 192 0.228481712325 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
38025⁢x6+44850⁢x5−29537⁢x4−28836⁢x3−441⁢x2+1458⁢x+81
17 193 0.233271834617 Arhan Canli, 2026.
17 194 0.234590284442 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
17 195 0.235022456914 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
17 196 0.236950430306 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
17 197 0.237728705004 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
17 198 0.238349150124 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
17 200 0.238867695777 Arhan Canli, 2026.
17 201 0.239060915559 Henry Cohn, 2026, needs more optimization.
17 202 0.241446344171 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
17 203 0.242169871716 Arhan Canli, 2026.
17 204 0.242720144972 Arhan Canli, 2026.
17 205 0.243054183339 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
17 206 0.243510729766 Arhan Canli, 2026.
17 207 0.244006543167 Arhan Canli, 2026.
17 208 0.244378271790 Henry Cohn, 2026, needs more optimization.
17 209 0.244527308617 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
17 210 0.244756212742 Henry Cohn, 2026, needs more optimization.
17 211 0.245035814802 Henry Cohn, 2026, needs more optimization.
17 212 0.245535855156 Henry Cohn, 2026, needs more optimization.
17 213 0.245831325813 Henry Cohn, 2026, needs more optimization.
17 214 0.245993474079 Henry Cohn, 2026, needs more optimization.
17 215 0.246143194859 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
17 216 0.246357939510 Henry Cohn, 2026, needs more optimization.
17 217 0.246645125570 Henry Cohn, 2026, needs more optimization.
17 218 0.246884852970 Henry Cohn, 2026, needs more optimization.
17 219 0.246996858520 Henry Cohn, 2026, needs more optimization.
17 220 0.247142091825 Henry Cohn, 2026, needs more optimization.
17 221 0.247352530232 Henry Cohn, 2026, needs more optimization.
17 222 0.247525525048 Henry Cohn, 2026, needs more optimization.
17 223 0.247700983464 Henry Cohn, 2026, needs more optimization.
17 224 0.247954197313 Henry Cohn, 2026, needs more optimization.
17 225 0.248085669136 Henry Cohn, 2026, needs more optimization.
17 226 0.248539189255 Henry Cohn, 2026, needs more optimization.
17 227 0.248653654736 Henry Cohn, 2026, needs more optimization.
17 228 0.248762051431 Henry Cohn, 2026, needs more optimization.
17 229 0.248898154545 Henry Cohn, 2026, needs more optimization.
17 230 0.249105502432 Henry Cohn, 2026, needs more optimization.
17 231 0.249159506551 Henry Cohn, 2026, needs more optimization.
17 232 0.249200886783 Henry Cohn, 2026, needs more optimization.
17 233 0.249231740091 Henry Cohn, 2026, needs more optimization.
17 234 0.249257964190 Henry Cohn, 2026, needs more optimization.
17 235 0.249290082670 Henry Cohn, 2026, needs more optimization.
17 236 0.249349493940 Henry Cohn, 2026, needs more optimization.
17 237 0.249389476457 Henry Cohn, 2026, needs more optimization.
17 238 0.249399650580 Henry Cohn, 2026, needs more optimization.
17 239 0.249516431492 Henry Cohn, 2026, needs more optimization.
17 240 0.249614543305 Henry Cohn, 2026, needs more optimization.
17 241 0.249640109429 Henry Cohn, 2026, needs more optimization.
17 242 0.249721533538 Henry Cohn, 2026, needs more optimization.
17 243 0.249728251985 Henry Cohn, 2026, needs more optimization.
17 244 0.249737378125 Henry Cohn, 2026, needs more optimization.
17 245 0.249753006670 Henry Cohn, 2026, needs more optimization.
17 246 0.249761881907 Henry Cohn, 2026, needs more optimization.
17 247 0.249800563994 Henry Cohn, 2026, needs more optimization.
17 248 0.249808300599 Henry Cohn, 2026, needs more optimization.
17 249 0.249870759515 Henry Cohn, 2026, needs more optimization.
17 250 0.249879188503 Henry Cohn, 2026, needs more optimization.
17 251 0.249905833521 Henry Cohn, 2026, needs more optimization.
17 252 0.249913601983 Henry Cohn, 2026, needs more optimization.
17 253 0.249981333556 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
17 254 0.249984689419 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
17 255 0.249985230198 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
17 256 0.249986446631 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
17 257 0.249986776912 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
17 258 0.249988846536 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
17 259 0.249990425765 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
17 260 0.249993027082 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
17 261 0.249994387189 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
17 262 0.249994860491 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
17 264 0.249995296974 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
17 265 0.249995452411 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
17 266 0.249995812003 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
17 267 0.249996389512 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
17 268 0.249996812505 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
17 269 0.249997161122 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
17 270 0.249997702458 Henry Cohn, 2026, needs more optimization.
17 271 0.249997925276 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
17 272 0.249998174815 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
17 273 0.249998423398 Henry Cohn, 2026, needs more optimization.
17 274 0.249998499114 Henry Cohn, 2026, needs more optimization.
17 275 0.249998720659 Henry Cohn, 2026, needs more optimization.
17 276 0.249998731181 Henry Cohn, 2026, needs more optimization.
17 277 0.249998856679 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
17 278 0.249998878966 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
17 279 0.249998879181 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
17 280 0.249999070611 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
17 281 0.249999134423 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
17 282 0.249999152745 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
17 283 0.249999263692 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
17 284 0.249999330349 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
17 285 0.249999379638 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
17 286 0.249999443300 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
17 287 0.249999443797 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
17 288 0.249999737430 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
17 289 0.249999830091 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
17 290 0.249999930608 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
17 292 0.25 Henry Cohn, 2026.
4⁢x−1
17 293 0.25 Kevin Li, 2026.
4⁢x−1
17 294 0.25 Henry Cohn, 2026.
4⁢x−1
17 295 0.250317937224 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
17 296 0.252523490576 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
17 297 0.255474314780 Henry Cohn, 2026, needs more optimization.
17 298 0.256370333246 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
17 299 0.259096899046 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
17 300 0.259097119863 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
17 301 0.259139404371 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
17 302 0.259271051323 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
17 303 0.259427247740 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
17 304 0.259544638827 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
17 305 0.259985071512 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
17 306 0.260625289096 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
17 307 0.260856287700 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
17 308 0.260895707597 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
17 309 0.260965383541 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
17 310 0.261001171578 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
17 311 0.261035852971 Henry Cohn, 2026, needs more optimization.
17 312 0.261039454635 Henry Cohn, 2026, needs more optimization.
17 313 0.261048234131 Henry Cohn, 2026, needs more optimization.
17 314 0.261053097819 Henry Cohn, 2026, needs more optimization.
17 315 0.261073590382 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
17 316 0.261075335292 Henry Cohn, 2026, needs more optimization.
17 317 0.261079166232 Henry Cohn, 2026, needs more optimization.
17 318 0.261079949110 Henry Cohn, 2026, needs more optimization.
17 319 0.261094124736 Henry Cohn, 2026, needs more optimization.
17 320 0.261094131869 Henry Cohn, 2026, needs more optimization.
17 321 0.281458624142 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
17 322 0.286285472916 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
17 323 0.289489470845 Henry Cohn, 2026, needs more optimization.
17 324 0.291596034701 Henry Cohn, 2026, needs more optimization.
17 325 0.293575797870 Henry Cohn, 2026, needs more optimization.
17 352 0.294117647059 C. Ma, T. Tao Z., P. Li, M. Liu, H. Chen, Z. Mao, Y. Cheng, Y. Qi, and Y. Yang, Finding kissing numbers with game-theoretic reinforcement learning, preprint, 2025, arXiv:2511.13391.
17⁢x−5
17 353 0.296535165409 C. Ma, T. Tao Z., P. Li, M. Liu, H. Chen, Z. Mao, Y. Cheng, Y. Qi, and Y. Yang, Finding kissing numbers with game-theoretic reinforcement learning, preprint, 2025, arXiv:2511.13391.
8⁢x2+x−1
17 354 0.303054209550 Henry Cohn, 2026, needs more optimization.
17 355 0.304366842645 Henry Cohn, 2026, needs more optimization.
17 356 0.305238434756 Henry Cohn, 2026, needs more optimization.
17 357 0.306093009609 Henry Cohn, 2026, needs more optimization.
17 358 0.306688794439 Henry Cohn, 2026, needs more optimization.
17 359 0.307431988132 Henry Cohn, 2026, needs more optimization.
17 360 0.308031915376 Henry Cohn, 2026, needs more optimization.
17 361 0.308321576350 Henry Cohn, 2026, needs more optimization.
17 362 0.308713744900 Henry Cohn, 2026, needs more optimization.
17 363 0.309147287130 Henry Cohn, 2026, needs more optimization.
17 364 0.309522583412 Henry Cohn, 2026, needs more optimization.
17 365 0.309893243283 Henry Cohn, 2026, needs more optimization.
17 366 0.310326697267 Henry Cohn, 2026, needs more optimization.
17 367 0.310570723851 Henry Cohn, 2026, needs more optimization.
17 368 0.310892797080 Henry Cohn, 2026, needs more optimization.
17 369 0.311196811766 Henry Cohn, 2026, needs more optimization.
17 370 0.311456277561 Henry Cohn, 2026, needs more optimization.
17 371 0.311796397039 Henry Cohn, 2026, needs more optimization.
17 372 0.312062592829 Henry Cohn, 2026, needs more optimization.
17 373 0.312278860108 Henry Cohn, 2026, needs more optimization.
17 374 0.312606390638 Henry Cohn, 2026, needs more optimization.
17 375 0.312911978821 Henry Cohn, 2026, needs more optimization.
17 376 0.313083590710 Henry Cohn, 2026, needs more optimization.
17 377 0.313357446648 Henry Cohn, 2026, needs more optimization.
17 378 0.313536737637 Henry Cohn, 2026, needs more optimization.
17 379 0.313732448100 Henry Cohn, 2026, needs more optimization.
17 380 0.313949557643 Henry Cohn, 2026, needs more optimization.
17 381 0.314179491539 Henry Cohn, 2026, needs more optimization.
17 382 0.314316675288 Henry Cohn, 2026, needs more optimization.
17 383 0.314496104375 Henry Cohn, 2026, needs more optimization.
17 384 0.314683590235 Henry Cohn, 2026, needs more optimization.
17 385 0.314750367463 Henry Cohn, 2026, needs more optimization.
17 386 0.315165190037 Henry Cohn, 2026, needs more optimization.
17 387 0.315311987840 Henry Cohn, 2026, needs more optimization.
17 388 0.315541063154 Henry Cohn, 2026, needs more optimization.
17 389 0.315790931028 Henry Cohn, 2026, needs more optimization.
17 390 0.316045335276 Henry Cohn, 2026, needs more optimization.
17 391 0.316325398327 Henry Cohn, 2026, needs more optimization.
17 392 0.316533288967 Henry Cohn, 2026, needs more optimization.
17 393 0.316765604609 Henry Cohn, 2026, needs more optimization.
17 394 0.316813724303 Henry Cohn, 2026, needs more optimization.
17 395 0.316911089648 Henry Cohn, 2026, needs more optimization.
17 396 0.317044828622 Henry Cohn, 2026, needs more optimization.
17 397 0.317201163905 Henry Cohn, 2026, needs more optimization.
17 398 0.317272040087 Henry Cohn, 2026, needs more optimization.
17 399 0.317361228076 Henry Cohn, 2026, needs more optimization.
17 400 0.317617842558 Henry Cohn, 2026, needs more optimization.
17 401 0.317691687832 Henry Cohn, 2026, needs more optimization.
17 402 0.317807091250 Henry Cohn, 2026, needs more optimization.
17 403 0.318000578885 Henry Cohn, 2026, needs more optimization.
17 404 0.318246437346 Henry Cohn, 2026, needs more optimization.
17 405 0.318359398418 Henry Cohn, 2026, needs more optimization.
17 406 0.318455221636 Henry Cohn, 2026, needs more optimization.
17 407 0.318577072669 Henry Cohn, 2026, needs more optimization.
17 408 0.318676543589 Henry Cohn, 2026, needs more optimization.
17 409 0.318766261292 Henry Cohn, 2026, needs more optimization.
17 410 0.318870092788 Henry Cohn, 2026, needs more optimization.
17 411 0.318942520017 Henry Cohn, 2026, needs more optimization.
17 412 0.318993706080 Henry Cohn, 2026, needs more optimization.
17 434 0.319025504452 Henry Cohn, 2026, needs more optimization.
17 435 0.320843412961 Henry Cohn, 2026, needs more optimization.
17 436 0.322285601483 Henry Cohn, 2026, needs more optimization.
17 437 0.322623838968 Henry Cohn, 2026, needs more optimization.
17 438 0.323530359097 Henry Cohn, 2026, needs more optimization.
17 439 0.323875331361 Henry Cohn, 2026, needs more optimization.
17 440 0.324304799400 Henry Cohn, 2026, needs more optimization.
17 441 0.324671092607 Henry Cohn, 2026, needs more optimization.
17 442 0.325040748566 Henry Cohn, 2026, needs more optimization.
17 443 0.325685292459 Henry Cohn, 2026, needs more optimization.
17 444 0.326271469288 Henry Cohn, 2026, needs more optimization.
17 445 0.326810890826 Henry Cohn, 2026, needs more optimization.
17 446 0.327284642822 Henry Cohn, 2026, needs more optimization.
17 447 0.327506469451 Henry Cohn, 2026, needs more optimization.
17 448 0.327648887460 Henry Cohn, 2026, needs more optimization.
17 449 0.327798878247 Henry Cohn, 2026, needs more optimization.
17 450 0.329748483953 Henry Cohn, 2026, needs more optimization.
17 451 0.330606260153 Henry Cohn, 2026, needs more optimization.
17 452 0.331443603815 Henry Cohn, 2026, needs more optimization.
17 453 0.332563141042 Henry Cohn, 2026, needs more optimization.
17 546 0.333333333334 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
3⁢x−1
17 578 0.333333333334 C. Ma, T. Tao Z., P. Li, M. Liu, H. Chen, Z. Mao, Y. Cheng, Y. Qi, and Y. Yang, Finding kissing numbers with game-theoretic reinforcement learning, preprint, 2025, arXiv:2511.13391.
3⁢x−1
17 738 0.341506350947 Henry Cohn, 2026.
32⁢x2−8⁢x−1
17 739 0.343913023018 Henry Cohn, 2026, needs more optimization.
17 740 0.352584882135 Henry Cohn, 2026, needs more optimization.
17 741 0.355205930542 Henry Cohn, 2026, needs more optimization.
17 742 0.355728985562 Henry Cohn, 2026, needs more optimization.
17 743 0.355975978440 Henry Cohn, 2026, needs more optimization.
17 744 0.356349360517 Henry Cohn, 2026, needs more optimization.
17 745 0.356802520157 Henry Cohn, 2026, needs more optimization.
17 746 0.357430129749 Henry Cohn, 2026, needs more optimization.
17 747 0.357544368439 Henry Cohn, 2026, needs more optimization.
17 751 0.357661854962 Henry Cohn, 2026, needs more optimization.
17 769 0.36 Henry Cohn, 2026.
25⁢x−9
17 770 0.365879039624 Henry Cohn, 2026, needs more optimization.
17 771 0.366478862611 Henry Cohn, 2026, needs more optimization.
17 772 0.368320934707 Henry Cohn, 2026, needs more optimization.
17 773 0.368920595526 Henry Cohn, 2026, needs more optimization.
17 774 0.370755509028 Henry Cohn, 2026, needs more optimization.
17 775 0.371212898932 Henry Cohn, 2026, needs more optimization.
17 776 0.372056611782 Henry Cohn, 2026, needs more optimization.
17 777 0.372380282732 Henry Cohn, 2026, needs more optimization.
17 778 0.373201541654 Henry Cohn, 2026, needs more optimization.
17 779 0.373513242508 Henry Cohn, 2026, needs more optimization.
17 780 0.374274410717 Henry Cohn, 2026, needs more optimization.
17 781 0.374793686688 Henry Cohn, 2026, needs more optimization.
17 782 0.375194576122 Henry Cohn, 2026, needs more optimization.
17 783 0.375507578057 Henry Cohn, 2026, needs more optimization.
17 784 0.376212023714 Henry Cohn, 2026, needs more optimization.
17 785 0.376724590947 Henry Cohn, 2026, needs more optimization.
17 786 0.377153133180 Henry Cohn, 2026, needs more optimization.
17 787 0.377921185744 Henry Cohn, 2026, needs more optimization.
17 788 0.378284962145 Henry Cohn, 2026, needs more optimization.
17 789 0.379138410811 Henry Cohn, 2026, needs more optimization.
17 790 0.379585673746 Henry Cohn, 2026, needs more optimization.
17 791 0.380224626225 Henry Cohn, 2026, needs more optimization.
17 792 0.380242861719 Henry Cohn, 2026, needs more optimization.
17 793 0.380680753617 Henry Cohn, 2026, needs more optimization.
17 795 0.381115159173 Henry Cohn, 2026, needs more optimization.
17 796 0.381644801562 Henry Cohn, 2026, needs more optimization.
17 798 0.381843701692 Henry Cohn, 2026, needs more optimization.
17 799 0.382247014994 Robert Dallara, 2026.
17 803 0.383379389763 Henry Cohn, 2026, needs more optimization.
17 1024 0.384615384616 C. Ma, T. Tao Z., P. Li, M. Liu, H. Chen, Z. Mao, Y. Cheng, Y. Qi, and Y. Yang, Finding kissing numbers with game-theoretic reinforcement learning, preprint, 2025, arXiv:2511.13391.
13⁢x−5
18 37 0.042671058118 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
4608⁢x3−324⁢x2−18⁢x+1
18 38 0.050085070755 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
18 39 0.055224148787 Henry Cohn, 2025.
18 40 0.055678193348 Henry Cohn, 2025.
1856⁢x4+736⁢x3+204⁢x2+4⁢x−1
18 41 0.060967744952 Henry Cohn, 2023.
18 42 0.063457905214 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
18 43 0.066629754705 Henry Cohn, 2025.
18 44 0.066804066179 Henry Cohn, 2023.
18 45 0.071480323505 Henry Cohn, 2026.
18 46 0.073552043366 Henry Cohn, 2025.
18 47 0.073575768177 Henry Cohn, 2025.
Minimal polynomial listed in plain text data
18 48 0.074706792917 Henry Cohn, 2024.
49250304⁢x8−30019584⁢x7−3769088⁢x6−1665536⁢x5+436432⁢x4+8256⁢x3−3792⁢x2+9
18 50 0.078219048073 Henry Cohn, 2025.
368⁢x2−16⁢x−1
18 51 0.084258729168 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
18 52 0.084267508224 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
18 53 0.084306482303 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
18 54 0.084331756953 Henry Cohn, 2026.
Minimal polynomial listed in plain text data
18 55 0.087707155784 Henry Cohn, 2025.
1893264⁢x8−1540752⁢x7−326156⁢x6+37720⁢x5+15340⁢x4−308⁢x3−220⁢x2+1
18 57 0.092724727985 Henry Cohn, 2025.
332⁢x2−20⁢x−1
18 58 0.096106487484 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
27⁢x2−13⁢x+1
18 59 0.096317631192 Henry Cohn, 2025.
Minimal polynomial listed in plain text data
18 60 0.096621974569 Henry Cohn, 2025.
1392⁢x5+5600⁢x4−2304⁢x3+152⁢x2+12⁢x−1
18 69 0.101456854890 Henry Cohn, 2024.
176⁢x2−8⁢x−1
18 71 0.107360417201 Henry Cohn, 2026.
252⁢x4−672⁢x3+156⁢x2−1
18 72 0.109540130282 Henry Cohn, 2026.
360⁢x3−68⁢x2−6⁢x+1
18 73 0.117125796978 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
18 74 0.119652337905 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
Minimal polynomial listed in plain text data
18 75 0.120367585569 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
Minimal polynomial listed in plain text data
18 80 0.121417162017 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
31⁢x2−12⁢x+1
18 81 0.126904281671 Henry Cohn, 2026.
18 82 0.127626473233 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
18 83 0.129097400889 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
18 84 0.130577223388 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
18 85 0.132288444638 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
18 86 0.132700003712 Henry Cohn, 2026, needs more optimization.
18 87 0.133632203004 Henry Cohn, 2026, needs more optimization.
18 88 0.134255586334 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
18 96 0.142857142858 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
7⁢x−1
18 97 0.152402949200 Henry Cohn, 2026.
16⁢x2−9⁢x+1
18 98 0.155249851767 Henry Cohn, 2026.
64⁢x4+32⁢x3−48⁢x2+1
18 100 0.157894736843 C. Ma, T. Tao Z., P. Li, M. Liu, H. Chen, Z. Mao, Y. Cheng, Y. Qi, and Y. Yang, Finding kissing numbers with game-theoretic reinforcement learning, preprint, 2025, arXiv:2511.13391.
19⁢x−3
18 101 0.161087011866 Henry Cohn, 2026.
52⁢x2−27⁢x+3
18 104 0.162407002682 Henry Cohn, 2026.
671⁢x4−1296⁢x3+534⁢x2−9
18 105 0.164921962691 Henry Cohn, 2026, needs more optimization.
18 106 0.166070240074 Henry Cohn, 2026, needs more optimization.
18 108 0.166586736179 Henry Cohn, 2026.
Minimal polynomial listed in plain text data
18 109 0.167620271520 Arhan Canli, 2026.
18 110 0.168420214672 Arhan Canli, 2026.
18 111 0.169248531160 Arhan Canli, 2026.
18 112 0.169838379181 Henry Cohn, 2026, needs more optimization.
18 113 0.170563042537 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
18 114 0.172117057360 Arhan Canli, 2026.
18 115 0.172912754537 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
18 116 0.174475260620 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
Minimal polynomial listed in plain text data
18 117 0.177748575135 Vadim Borisov, 2026, https://numaro.tech/.
18 118 0.181067030134 Robert Dallara, 2026.
18 119 0.182599023977 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
18 120 0.184835329639 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
18 121 0.185547953776 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
18 122 0.186952176805 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
18 123 0.188109726075 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
18 128 0.188405797102 C. Ma, T. Tao Z., P. Li, M. Liu, H. Chen, Z. Mao, Y. Cheng, Y. Qi, and Y. Yang, Finding kissing numbers with game-theoretic reinforcement learning, preprint, 2025, arXiv:2511.13391.
69⁢x−13
18 129 0.188801907508 Henry Cohn, 2026, needs more optimization.
18 130 0.188960803287 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
18 131 0.190522135309 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
18 132 0.191489361703 Henry Cohn, 2025, by enlarging a code from T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
47⁢x−9
18 133 0.193070622502 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
18 134 0.193719737379 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
18 135 0.194297962418 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
18 136 0.194621735027 Arhan Canli, 2026.
18 137 0.194954057753 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
18 138 0.195225824558 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
18 140 0.195281232516 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
18 141 0.195969898282 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
18 142 0.196271058083 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
18 143 0.196613221668 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
18 144 0.196848690091 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
18 145 0.197165735801 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
18 146 0.197524467168 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
18 147 0.197844422013 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
18 148 0.198104277025 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
18 149 0.198653243232 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
18 150 0.199145794120 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
18 151 0.199472604666 Arhan Canli, 2026.
18 152 0.199881505468 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
18 153 0.199993807631 Arhan Canli, 2026.
18 154 0.200156453204 Henry Cohn, 2026, needs more optimization.
18 155 0.200591311767 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
18 156 0.201268996945 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
18 157 0.201466938734 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
18 158 0.201512436098 Henry Cohn, 2026, needs more optimization.
18 159 0.201551609045 Henry Cohn, 2026, needs more optimization.
18 160 0.201636431893 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
18 161 0.201957890574 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
18 162 0.202198741723 Henry Cohn, 2026, needs more optimization.
18 163 0.202198830254 Henry Cohn, 2026, needs more optimization.
18 164 0.202198947783 Henry Cohn, 2026, needs more optimization.
18 165 0.202499867946 Arhan Canli, 2026.
18 166 0.202770032535 Arhan Canli, 2026.
18 167 0.202866765447 Arhan Canli, 2026.
18 169 0.202913239912 Arhan Canli, 2026.
18 170 0.202913432928 Arhan Canli, 2026.
18 171 0.203057405855 Arhan Canli, 2026.
18 172 0.203990215529 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
18 173 0.205759392675 Henry Cohn, 2026, needs more optimization.
18 174 0.208492975025 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
18 175 0.208896958003 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
18 176 0.212707576300 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
18 177 0.213961001219 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
18 178 0.214574339686 Henry Cohn, 2026, needs more optimization.
18 179 0.214575912785 Henry Cohn, 2026, needs more optimization.
18 180 0.214579207335 Henry Cohn, 2026, needs more optimization.
18 181 0.214580484231 Henry Cohn, 2026, needs more optimization.
18 182 0.214580593349 Henry Cohn, 2026, needs more optimization.
18 184 0.214580613848 Henry Cohn, 2026, needs more optimization.
18 185 0.214580641665 Henry Cohn, 2026, needs more optimization.
18 186 0.214580662285 Henry Cohn, 2026, needs more optimization.
18 187 0.214580781610 Henry Cohn, 2026, needs more optimization.
18 188 0.214670996666 Arhan Canli, 2026.
18 189 0.216532954210 Arhan Canli, 2026.
18 197 0.218766018322 Henry Cohn, 2026.
4439⁢x2−418⁢x−121
18 198 0.218766693205 Henry Cohn, 2026, needs more optimization.
18 199 0.222171408776 Arhan Canli, 2026.
18 210 0.224009237740 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11⁢x2+2⁢x−1
18 211 0.225864169774 Arhan Canli, 2026.
18 212 0.228628685372 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
18 213 0.228672271276 Arhan Canli, 2026.
18 224 0.231925424534 Henry Cohn, 2026, needs more optimization.
18 225 0.232161269186 Henry Cohn, 2026, needs more optimization.
18 226 0.232403577541 Henry Cohn, 2026, needs more optimization.
18 227 0.236133015365 Arhan Canli, 2026.
18 228 0.237222837463 Arhan Canli, 2026.
18 229 0.237841034456 Arhan Canli, 2026.
18 230 0.238318417518 Arhan Canli, 2026.
18 231 0.238819985786 Arhan Canli, 2026.
18 232 0.239395778654 Arhan Canli, 2026.
18 233 0.239883628506 Henry Cohn, 2026, needs more optimization.
18 234 0.240446029129 Henry Cohn, 2026, needs more optimization.
18 235 0.240729692442 Henry Cohn, 2026, needs more optimization.
18 236 0.241203111137 Arhan Canli, 2026.
18 237 0.241611369068 Arhan Canli, 2026.
18 238 0.242023482715 Arhan Canli, 2026.
18 239 0.242543089972 Arhan Canli, 2026.
18 240 0.242762621279 Arhan Canli, 2026.
18 241 0.243031702618 Arhan Canli, 2026.
18 242 0.243157866201 Arhan Canli, 2026.
18 243 0.243736443361 Arhan Canli, 2026.
18 244 0.244035857905 Arhan Canli, 2026.
18 245 0.244285309293 Arhan Canli, 2026.
18 246 0.244422758332 Arhan Canli, 2026.
18 247 0.244595778791 Arhan Canli, 2026.
18 248 0.244888919617 Arhan Canli, 2026.
18 249 0.245083746850 Henry Cohn, 2026, needs more optimization.
18 250 0.245252153677 Arhan Canli, 2026.
18 251 0.245453884257 Henry Cohn, 2026, needs more optimization.
18 252 0.245590077231 Henry Cohn, 2026, needs more optimization.
18 254 0.245767836278 Arhan Canli, 2026.
18 255 0.245866308436 Henry Cohn, 2026, needs more optimization.
18 256 0.245968601727 Arhan Canli, 2026.
18 257 0.245977536679 Arhan Canli, 2026.
18 258 0.246110053721 Arhan Canli, 2026.
18 259 0.246238740314 Arhan Canli, 2026.
18 261 0.246252136775 Henry Cohn, 2026, needs more optimization.
18 262 0.246367021891 Henry Cohn, 2026, needs more optimization.
18 263 0.246433412030 Henry Cohn, 2026, needs more optimization.
18 264 0.246478668190 Henry Cohn, 2026, needs more optimization.
18 265 0.246644804001 Henry Cohn, 2026, needs more optimization.
18 266 0.246948869230 Henry Cohn, 2026, needs more optimization.
18 267 0.246969116604 Henry Cohn, 2026, needs more optimization.
18 268 0.247003815476 Henry Cohn, 2026, needs more optimization.
18 269 0.247095539619 Henry Cohn, 2026, needs more optimization.
18 270 0.247454030746 Henry Cohn, 2026, needs more optimization.
18 271 0.247487713715 Henry Cohn, 2026, needs more optimization.
18 272 0.247529811895 Henry Cohn, 2026, needs more optimization.
18 273 0.247532110507 Henry Cohn, 2026, needs more optimization.
18 274 0.247561732797 Henry Cohn, 2026, needs more optimization.
18 275 0.247573770753 Henry Cohn, 2026, needs more optimization.
18 276 0.247594071042 Henry Cohn, 2026, needs more optimization.
18 277 0.247611223144 Henry Cohn, 2026, needs more optimization.
18 278 0.247633941864 Henry Cohn, 2026, needs more optimization.
18 279 0.247727370050 Henry Cohn, 2026, needs more optimization.
18 280 0.247741666085 Henry Cohn, 2026, needs more optimization.
18 281 0.247779647035 Henry Cohn, 2026, needs more optimization.
18 282 0.247788494219 Henry Cohn, 2026, needs more optimization.
18 284 0.247855315573 Henry Cohn, 2026, needs more optimization.
18 285 0.247856117218 Henry Cohn, 2026, needs more optimization.
18 286 0.247856125797 Henry Cohn, 2026, needs more optimization.
18 287 0.248144122151 Henry Cohn, 2026, needs more optimization.
18 288 0.248762492990 Henry Cohn, 2026, needs more optimization.
18 289 0.248919180099 Henry Cohn, 2026, needs more optimization.
18 290 0.249104243604 Henry Cohn, 2026, needs more optimization.
18 292 0.249245951570 Henry Cohn, 2026, needs more optimization.
18 293 0.249607277308 Henry Cohn, 2026, needs more optimization.
18 294 0.249872224976 Henry Cohn, 2026, needs more optimization.
18 295 0.249873298041 Henry Cohn, 2026, needs more optimization.
18 296 0.249912481585 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
18 297 0.249930962802 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
18 298 0.249948128094 Henry Cohn, 2026, needs more optimization.
18 299 0.249968792704 Henry Cohn, 2026, needs more optimization.
18 300 0.249988805797 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
18 301 0.249995637706 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
18 302 0.249995796407 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
18 303 0.249996724237 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
18 304 0.25 Kevin Li, 2026.
4⁢x−1
18 306 0.25 Henry Cohn, 2026.
4⁢x−1
18 307 0.250462400472 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
18 308 0.251553413783 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
18 309 0.252611270185 Henry Cohn, 2026, needs more optimization.
18 310 0.253756456861 Henry Cohn, 2026, needs more optimization.
18 311 0.254741906315 Henry Cohn, 2026, needs more optimization.
18 312 0.256211577802 Henry Cohn, 2026, needs more optimization.
18 313 0.256822460352 Henry Cohn, 2026, needs more optimization.
18 314 0.258090159149 Henry Cohn, 2026, needs more optimization.
18 315 0.258551706404 Henry Cohn, 2026, needs more optimization.
18 316 0.258593410274 Henry Cohn, 2026, needs more optimization.
18 317 0.258679472405 Henry Cohn, 2026, needs more optimization.
18 318 0.258727725024 Henry Cohn, 2026, needs more optimization.
18 319 0.258932444292 Henry Cohn, 2026, needs more optimization.
18 320 0.259042253380 Henry Cohn, 2026, needs more optimization.
18 321 0.259161377069 Henry Cohn, 2026, needs more optimization.
18 322 0.259164894797 Henry Cohn, 2026, needs more optimization.
18 323 0.259180109636 Henry Cohn, 2026, needs more optimization.
18 324 0.259335871073 Henry Cohn, 2026, needs more optimization.
18 325 0.259829099769 Henry Cohn, 2026, needs more optimization.
18 326 0.259899004056 Henry Cohn, 2026, needs more optimization.
18 327 0.259981049547 Henry Cohn, 2026, needs more optimization.
18 328 0.260155960213 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
18 329 0.260178954039 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
18 330 0.260235051764 Henry Cohn, 2026, needs more optimization.
18 331 0.260268560025 Henry Cohn, 2026, needs more optimization.
18 332 0.260330261981 Henry Cohn, 2026, needs more optimization.
18 334 0.260348828936 Henry Cohn, 2026, needs more optimization.
18 335 0.260488066768 Henry Cohn, 2026, needs more optimization.
18 336 0.260597666878 Henry Cohn, 2026, needs more optimization.
18 337 0.260670809096 Henry Cohn, 2026, needs more optimization.
18 338 0.260726920560 Henry Cohn, 2026, needs more optimization.
18 339 0.260734020010 Henry Cohn, 2026, needs more optimization.
18 340 0.260770563916 Henry Cohn, 2026, needs more optimization.
18 341 0.260835739001 Henry Cohn, 2026, needs more optimization.
18 342 0.260854029439 Henry Cohn, 2026, needs more optimization.
18 343 0.260865820705 Henry Cohn, 2026, needs more optimization.
18 344 0.260867793895 Henry Cohn, 2026, needs more optimization.
18 345 0.260889933734 Henry Cohn, 2026, needs more optimization.
18 346 0.260906766650 Henry Cohn, 2026, needs more optimization.
18 347 0.260939665941 Henry Cohn, 2026, needs more optimization.
18 348 0.260955521174 Henry Cohn, 2026, needs more optimization.
18 349 0.260958885055 Henry Cohn, 2026, needs more optimization.
18 350 0.260970619280 Henry Cohn, 2026, needs more optimization.
18 351 0.260987088577 Henry Cohn, 2026, needs more optimization.
18 352 0.260993742810 Henry Cohn, 2026, needs more optimization.
18 353 0.262893575679 Henry Cohn, 2026, needs more optimization.
18 354 0.277833145801 Henry Cohn, 2026, needs more optimization.
18 355 0.280347782615 Henry Cohn, 2026, needs more optimization.
18 356 0.284675073505 Henry Cohn, 2026, needs more optimization.
18 357 0.287724136949 Henry Cohn, 2026, needs more optimization.
18 358 0.290321578964 Henry Cohn, 2026, needs more optimization.
18 359 0.291540846401 Henry Cohn, 2026, needs more optimization.
18 360 0.292373389087 Henry Cohn, 2026, needs more optimization.
18 361 0.294117665101 Henry Cohn, 2026, needs more optimization.
18 362 0.294117665111 Henry Cohn, 2026, needs more optimization.
18 363 0.294117665167 Henry Cohn, 2026, needs more optimization.
18 364 0.294117665195 Henry Cohn, 2026, needs more optimization.
18 365 0.294117665231 Henry Cohn, 2026, needs more optimization.
18 366 0.294117665275 Henry Cohn, 2026, needs more optimization.
18 367 0.294117673530 Henry Cohn, 2026, needs more optimization.
18 368 0.294117673568 Henry Cohn, 2026, needs more optimization.
18 369 0.294117673589 Henry Cohn, 2026, needs more optimization.
18 370 0.294117674658 Henry Cohn, 2026, needs more optimization.
18 371 0.294117674729 Henry Cohn, 2026, needs more optimization.
18 372 0.294117679942 Henry Cohn, 2026, needs more optimization.
18 373 0.294117679968 Henry Cohn, 2026, needs more optimization.
18 374 0.294117679990 Henry Cohn, 2026, needs more optimization.
18 375 0.294117680247 Henry Cohn, 2026, needs more optimization.
18 376 0.294117680282 Henry Cohn, 2026, needs more optimization.
18 377 0.294117682204 Henry Cohn, 2026, needs more optimization.
18 378 0.294117682217 Henry Cohn, 2026, needs more optimization.
18 379 0.294117688603 Henry Cohn, 2026, needs more optimization.
18 380 0.294117688628 Henry Cohn, 2026, needs more optimization.
18 381 0.294117688734 Henry Cohn, 2026, needs more optimization.
18 382 0.294117706713 Henry Cohn, 2026, needs more optimization.
18 383 0.294117706759 Henry Cohn, 2026, needs more optimization.
18 384 0.294117713060 Henry Cohn, 2026, needs more optimization.
18 385 0.294117713095 Henry Cohn, 2026, needs more optimization.
18 386 0.294117713107 Henry Cohn, 2026, needs more optimization.
18 387 0.294117713129 Henry Cohn, 2026, needs more optimization.
18 388 0.294117719149 Henry Cohn, 2026, needs more optimization.
18 389 0.294117719201 Henry Cohn, 2026, needs more optimization.
18 390 0.294117719248 Henry Cohn, 2026, needs more optimization.
18 391 0.294117731572 Henry Cohn, 2026, needs more optimization.
18 392 0.294117731597 Henry Cohn, 2026, needs more optimization.
18 393 0.294117731622 Henry Cohn, 2026, needs more optimization.
18 394 0.294117731662 Henry Cohn, 2026, needs more optimization.
18 395 0.294117731706 Henry Cohn, 2026, needs more optimization.
18 396 0.294117731778 Henry Cohn, 2026, needs more optimization.
18 397 0.294117731898 Henry Cohn, 2026, needs more optimization.
18 398 0.294117735924 Henry Cohn, 2026, needs more optimization.
18 399 0.294117735984 Henry Cohn, 2026, needs more optimization.
18 400 0.294117736060 Henry Cohn, 2026, needs more optimization.
18 401 0.294117736159 Henry Cohn, 2026, needs more optimization.
18 402 0.294117793744 Henry Cohn, 2026, needs more optimization.
18 403 0.294117797804 Henry Cohn, 2026, needs more optimization.
18 404 0.294117958561 Henry Cohn, 2026, needs more optimization.
18 405 0.294117958678 Henry Cohn, 2026, needs more optimization.
18 406 0.294117958964 Henry Cohn, 2026, needs more optimization.
18 407 0.294117968370 Henry Cohn, 2026, needs more optimization.
18 408 0.294117968520 Henry Cohn, 2026, needs more optimization.
18 409 0.294117968864 Henry Cohn, 2026, needs more optimization.
18 410 0.294117988309 Henry Cohn, 2026, needs more optimization.
18 411 0.294117988534 Henry Cohn, 2026, needs more optimization.
18 412 0.294117996266 Henry Cohn, 2026, needs more optimization.
18 413 0.294117996399 Henry Cohn, 2026, needs more optimization.
18 414 0.294117996690 Henry Cohn, 2026, needs more optimization.
18 415 0.294118206175 Henry Cohn, 2026, needs more optimization.
18 416 0.294118344638 Henry Cohn, 2026, needs more optimization.
18 417 0.294118351951 Henry Cohn, 2026, needs more optimization.
18 418 0.294120830725 Henry Cohn, 2026, needs more optimization.
18 419 0.294120831121 Henry Cohn, 2026, needs more optimization.
18 420 0.294120845214 Henry Cohn, 2026, needs more optimization.
18 421 0.294121065781 Henry Cohn, 2026, needs more optimization.
18 422 0.294142454756 Henry Cohn, 2026, needs more optimization.
18 423 0.294142468773 Henry Cohn, 2026, needs more optimization.
18 424 0.294142493063 Henry Cohn, 2026, needs more optimization.
18 425 0.294206993047 Henry Cohn, 2026, needs more optimization.
18 426 0.294215673888 Henry Cohn, 2026, needs more optimization.
18 427 0.294228244461 Henry Cohn, 2026, needs more optimization.
18 428 0.294574313866 Henry Cohn, 2026, needs more optimization.
18 429 0.294804496721 Henry Cohn, 2026, needs more optimization.
18 480 0.296296296297 Henry Cohn, 2025, by enlarging a code from T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
27⁢x−8
18 481 0.298380798203 Henry Cohn, 2026, needs more optimization.
18 482 0.300180849744 Henry Cohn, 2026, needs more optimization.
18 483 0.301454683374 Henry Cohn, 2026, needs more optimization.
18 484 0.302682504652 Henry Cohn, 2026, needs more optimization.
18 485 0.303478196039 Henry Cohn, 2026, needs more optimization.
18 486 0.305662833709 Henry Cohn, 2026, needs more optimization.
18 487 0.307359298673 Henry Cohn, 2026, needs more optimization.
18 488 0.308247760893 Henry Cohn, 2026, needs more optimization.
18 489 0.308681433712 Henry Cohn, 2026, needs more optimization.
18 490 0.309601710184 Henry Cohn, 2026, needs more optimization.
18 491 0.309881961433 Henry Cohn, 2026, needs more optimization.
18 492 0.310035492865 Henry Cohn, 2026, needs more optimization.
18 493 0.310428864212 Henry Cohn, 2026, needs more optimization.
18 494 0.310445000236 Henry Cohn, 2026, needs more optimization.
18 495 0.310873395357 Henry Cohn, 2026, needs more optimization.
18 496 0.311799224616 Henry Cohn, 2026, needs more optimization.
18 497 0.312165487932 Henry Cohn, 2026, needs more optimization.
18 498 0.312369833631 Henry Cohn, 2026, needs more optimization.
18 499 0.313175774429 Henry Cohn, 2026, needs more optimization.
18 500 0.313190382139 Henry Cohn, 2026, needs more optimization.
18 501 0.314013704704 Henry Cohn, 2026, needs more optimization.
18 502 0.315078078315 Henry Cohn, 2026, needs more optimization.
18 503 0.315502121962 Henry Cohn, 2026, needs more optimization.
18 504 0.316735009907 Henry Cohn, 2026, needs more optimization.
18 505 0.317102500047 Henry Cohn, 2026, needs more optimization.
18 506 0.317419524246 Henry Cohn, 2026, needs more optimization.
18 507 0.317883201839 Henry Cohn, 2026, needs more optimization.
18 508 0.318370574293 Henry Cohn, 2026, needs more optimization.
18 509 0.318551927855 Henry Cohn, 2026, needs more optimization.
18 510 0.318676127620 Henry Cohn, 2026, needs more optimization.
18 511 0.318929628512 Henry Cohn, 2026, needs more optimization.
18 512 0.319257584856 Henry Cohn, 2026, needs more optimization.
18 513 0.319284097780 Henry Cohn, 2026, needs more optimization.
18 514 0.319463072778 Henry Cohn, 2026, needs more optimization.
18 515 0.319680260890 Henry Cohn, 2026, needs more optimization.
18 517 0.320199081465 Henry Cohn, 2026, needs more optimization.
18 518 0.321004254541 Henry Cohn, 2026, needs more optimization.
18 519 0.321422762902 Henry Cohn, 2026, needs more optimization.
18 520 0.321495560924 Henry Cohn, 2026, needs more optimization.
18 521 0.321618208472 Henry Cohn, 2026, needs more optimization.
18 522 0.323073023864 Henry Cohn, 2026, needs more optimization.
18 523 0.323106563864 Henry Cohn, 2026, needs more optimization.
18 524 0.323166981097 Henry Cohn, 2026, needs more optimization.
18 525 0.323615641046 Henry Cohn, 2026, needs more optimization.
18 528 0.323884411340 Henry Cohn, 2026, needs more optimization.
18 529 0.324440748508 Henry Cohn, 2026, needs more optimization.
18 530 0.324930627717 Henry Cohn, 2026, needs more optimization.
18 531 0.325262188340 Henry Cohn, 2026, needs more optimization.
18 532 0.325685768116 Henry Cohn, 2026, needs more optimization.
18 533 0.326007406002 Henry Cohn, 2026, needs more optimization.
18 534 0.326333227052 Henry Cohn, 2026, needs more optimization.
18 535 0.326574830501 Henry Cohn, 2026, needs more optimization.
18 536 0.326875241246 Henry Cohn, 2026, needs more optimization.
18 537 0.327103004260 Henry Cohn, 2026, needs more optimization.
18 538 0.327723857465 Henry Cohn, 2026, needs more optimization.
18 539 0.327903829211 Henry Cohn, 2026, needs more optimization.
18 540 0.328307499593 Henry Cohn, 2026, needs more optimization.
18 542 0.328495180283 Henry Cohn, 2026, needs more optimization.
18 543 0.329066179062 Henry Cohn, 2026, needs more optimization.
18 544 0.329516119685 Henry Cohn, 2026, needs more optimization.
18 545 0.329665017590 Henry Cohn, 2026, needs more optimization.
18 546 0.330029464797 Henry Cohn, 2026, needs more optimization.
18 547 0.330236317501 Henry Cohn, 2026, needs more optimization.
18 548 0.330494624521 Henry Cohn, 2026, needs more optimization.
18 550 0.330758406323 Henry Cohn, 2026, needs more optimization.
18 551 0.331636383712 Henry Cohn, 2026, needs more optimization.
18 552 0.331922727274 Henry Cohn, 2026, needs more optimization.
18 553 0.332346154488 Henry Cohn, 2026, needs more optimization.
18 554 0.332422014676 Henry Cohn, 2026, needs more optimization.
18 555 0.332557887112 Henry Cohn, 2026, needs more optimization.
18 557 0.332823718210 Henry Cohn, 2026, needs more optimization.
18 558 0.333149006731 Henry Cohn, 2026, needs more optimization.
18 672 0.333333333334 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
3⁢x−1
18 704 0.333333333334 C. Ma, T. Tao Z., P. Li, M. Liu, H. Chen, Z. Mao, Y. Cheng, Y. Qi, and Y. Yang, Finding kissing numbers with game-theoretic reinforcement learning, preprint, 2025, arXiv:2511.13391.
3⁢x−1
18 762 0.341506350947 Henry Cohn, 2026.
32⁢x2−8⁢x−1
18 763 0.341763133541 Henry Cohn, 2026, needs more optimization.
18 764 0.341839327584 Henry Cohn, 2026, needs more optimization.
18 765 0.341961573245 Henry Cohn, 2026, needs more optimization.
18 766 0.342073535955 Henry Cohn, 2026, needs more optimization.
18 767 0.342199509095 Henry Cohn, 2026, needs more optimization.
18 768 0.342337162249 Henry Cohn, 2026, needs more optimization.
18 769 0.343621293088 Henry Cohn, 2026, needs more optimization.
18 770 0.343823591090 Henry Cohn, 2026, needs more optimization.
18 778 0.343893984958 Henry Cohn, 2026, needs more optimization.
18 784 0.346551901999 Henry Cohn, 2026, needs more optimization.
18 867 0.357142857143 Henry Cohn, 2025, by modifying a construction from C. Ma, T. Tao Z., P. Li, M. Liu, H. Chen, Z. Mao, Y. Cheng, Y. Qi, and Y. Yang, Finding kissing numbers with game-theoretic reinforcement learning, preprint, 2025, arXiv:2511.13391.
14⁢x−5
18 868 0.357142857143 Kevin Li, 2026.
14⁢x−5
18 869 0.373254033747 Henry Cohn, 2026, needs more optimization.
18 1024 0.375 C. Ma, T. Tao Z., P. Li, M. Liu, H. Chen, Z. Mao, Y. Cheng, Y. Qi, and Y. Yang, Finding kissing numbers with game-theoretic reinforcement learning, preprint, 2025, arXiv:2511.13391.
8⁢x−3
19 39 0.040648168399 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
5491⁢x3−361⁢x2−19⁢x+1
19 40 0.047619047620 T. Ericson and V. Zinoviev, Spherical codes generated by binary partitions of symmetric pointsets, IEEE Trans. Inform. Theory 41 (1995), 107–129, doi:10.1109/18.370114.
21⁢x−1
19 41 0.053165944699 Henry Cohn, 2023.
19 42 0.053978364917 Henry Cohn, 2025.
19 43 0.058551084358 Henry Cohn, 2025.
19 44 0.059131790994 Henry Cohn, 2023.
19 45 0.059418524383 Henry Cohn, 2023.
Minimal polynomial listed in plain text data
19 48 0.063706690497 Henry Cohn, 2023.
215⁢x2+2⁢x−1
19 50 0.069767441861 Henry Cohn, 2023.
43⁢x−3
19 51 0.075262310219 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
19 52 0.076923076924 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
13⁢x−1
19 53 0.080493593475 Henry Cohn, 2026.
Minimal polynomial listed in plain text data
19 54 0.081604760575 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
Minimal polynomial listed in plain text data
19 55 0.082178889828 Henry Cohn, 2025.
19 56 0.083233613334 Henry Cohn, 2026.
19 57 0.084523219261 Henry Cohn, 2026.
19 58 0.087689053617 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
19 60 0.090909090910 Kissing configuration of 81 points in 20 dimensions from A. E. Brouwer and W. H. Haemers, Structure and uniqueness of the (81,20,1,6) strongly regular graph, Discrete Math. 106/107 (1992), 77–82, doi:10.1016/0012-365X(92)90532-K.
11⁢x−1
19 62 0.093346164763 Henry Cohn, 2026.
479⁢x2−34⁢x−1
19 66 0.097744360903 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
133⁢x−13
19 69 0.101319957445 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
65739⁢x5−40846⁢x4+8166⁢x3−464⁢x2−21⁢x+2
19 70 0.101392647883 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
19 71 0.101456840932 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
19 72 0.101838513946 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
Minimal polynomial listed in plain text data
19 73 0.102201317334 Henry Cohn, 2026.
311⁢x2−22⁢x−1
19 74 0.104236915649 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
19 75 0.107816370259 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
19 76 0.111553215377 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
19 77 0.112762635552 Henry Cohn, 2026, needs more optimization.
19 89 0.112912613537 Henry Cohn, 2023.
167⁢x2−10⁢x−1
19 90 0.121308037796 Henry Cohn, 2024.
2809⁢x4−192⁢x3−86⁢x2+1
19 91 0.128902034016 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
19 92 0.132376265090 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
19 93 0.141277885852 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
19 94 0.142465088813 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
19 100 0.142857142858 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
7⁢x−1
19 102 0.142857142858 Henry Cohn, 2023, by enlarging a code from T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
7⁢x−1
19 103 0.149928121676 Henry Cohn, 2026.
387809⁢x8−966576⁢x7+416044⁢x6−3392⁢x5−20538⁢x4+2192⁢x3+172⁢x2−32⁢x+1
19 104 0.150748959688 Henry Cohn, 2026.
311⁢x4−352⁢x3+90⁢x2−1
19 106 0.152679567196 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
34192⁢x4−15480⁢x3+2113⁢x2−90⁢x+1
19 108 0.153846153847 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
13⁢x−2
19 132 0.157894736843 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
19⁢x−3
19 133 0.168802199651 Henry Cohn, 2026.
5929⁢x4−1152⁢x3−536⁢x2+16
19 134 0.174059290326 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
19 135 0.174801818496 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
19 136 0.175550056629 Arhan Canli, 2026.
19 137 0.176550673498 Henry Cohn, 2026, needs more optimization.
19 138 0.177090903188 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
19 139 0.177604511395 Arhan Canli, 2026.
19 140 0.178019811191 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
19 141 0.178297417909 Arhan Canli, 2026.
19 142 0.178652812730 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
19 143 0.178909005197 Arhan Canli, 2026.
19 144 0.179657712697 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
19 145 0.180306109306 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
19 146 0.180685030890 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
19 147 0.182309206945 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
19 148 0.183200271585 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
19 149 0.183225490259 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
19 150 0.184646543855 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
1007⁢x4+740⁢x3+10⁢x2−28⁢x−1
19 151 0.186838119459 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
19 166 0.189189189190 Henry Cohn, 2026.
37⁢x−7
19 176 0.191919191920 Henry Cohn, 2025, by enlarging a code from T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
99⁢x−19
19 177 0.193637369253 Henry Cohn, 2026.
100489⁢x4−30400⁢x3−14550⁢x2+625
19 178 0.194661393927 Henry Cohn, 2026, needs more optimization.
19 179 0.195464657299 Arhan Canli, 2026.
19 180 0.195821119718 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
19 181 0.196870703033 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
19 182 0.197578666900 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
19 183 0.198393261324 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
19 184 0.199205109236 Henry Cohn, 2026, needs more optimization.
19 185 0.199756703906 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
19 192 0.2 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
5⁢x−1
19 193 0.203357314598 Henry Cohn, 2026.
112896⁢x4−30400⁢x3−13600⁢x2+625
19 194 0.205821839988 Arhan Canli, 2026.
19 195 0.206601200687 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
19 196 0.206640693014 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
19 197 0.208044077564 Arhan Canli, 2026.
19 198 0.208915963894 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
19 199 0.209678884848 Henry Cohn, 2026, needs more optimization.
19 200 0.210514285599 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
19 202 0.210526315790 C. Ma, T. Tao Z., P. Li, M. Liu, H. Chen, Z. Mao, Y. Cheng, Y. Qi, and Y. Yang, Finding kissing numbers with game-theoretic reinforcement learning, preprint, 2025, arXiv:2511.13391.
19⁢x−4
19 203 0.211922187577 Henry Cohn, 2026, needs more optimization.
19 204 0.212307068354 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
19 205 0.212680798535 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
19 206 0.212874485839 Arhan Canli, 2026.
19 207 0.213595352373 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
19 208 0.214188750906 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
19 209 0.214449442296 Arhan Canli, 2026.
19 210 0.214506909811 Arhan Canli, 2026.
19 211 0.215132586522 Arhan Canli, 2026.
19 212 0.215583740612 Arhan Canli, 2026.
19 213 0.216090811595 Arhan Canli, 2026.
19 214 0.216350660624 Arhan Canli, 2026.
19 215 0.216825213033 Arhan Canli, 2026.
19 216 0.217366105897 Arhan Canli, 2026.
19 217 0.217541220970 Uploaded by anonymous internet user, 2026.
19 218 0.217683439982 Uploaded by anonymous internet user, 2026.
19 219 0.218633431500 Uploaded by anonymous internet user, 2026.
19 220 0.219412456334 Arhan Canli, 2026.
19 221 0.220080486922 Henry Cohn, 2026, needs more optimization.
19 222 0.220577174691 Arhan Canli, 2026.
19 223 0.221059984742 Arhan Canli, 2026.
19 224 0.221135382308 Henry Cohn, 2026, needs more optimization.
19 225 0.221296096773 Arhan Canli, 2026.
19 226 0.221373760989 Arhan Canli, 2026.
19 227 0.221401781712 Arhan Canli, 2026.
19 228 0.221454375439 Arhan Canli, 2026.
19 229 0.221592008973 Arhan Canli, 2026.
19 230 0.221592606923 Arhan Canli, 2026.
19 231 0.221698842372 Arhan Canli, 2026.
19 232 0.221750106083 Henry Cohn, 2026, needs more optimization.
19 237 0.221860313442 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
Minimal polynomial listed in plain text data
19 238 0.221860313442 Henry Cohn, 2026.
Minimal polynomial listed in plain text data
19 239 0.222925714741 Arhan Canli, 2026.
19 240 0.226009184988 Arhan Canli, 2026.
19 241 0.226335319577 Arhan Canli, 2026.
19 242 0.226789063136 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
19 243 0.227019608647 Arhan Canli, 2026.
19 244 0.227575417635 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
19 245 0.227576311280 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
19 246 0.227577244946 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
19 247 0.227580806238 Arhan Canli, 2026.
19 248 0.227584310565 Henry Cohn, 2026, needs more optimization.
19 249 0.227586671702 Henry Cohn, 2026, needs more optimization.
19 250 0.227587125823 Henry Cohn, 2026, needs more optimization.
19 251 0.227589956048 Henry Cohn, 2026, needs more optimization.
19 252 0.227594063025 Henry Cohn, 2026, needs more optimization.
19 253 0.227597779950 Henry Cohn, 2026, needs more optimization.
19 255 0.227597794389 Henry Cohn, 2026, needs more optimization.
19 256 0.228976015418 Arhan Canli, 2026.
19 277 0.230769230770 Henry Cohn, 2025, by enlarging a code from T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
13⁢x−3
19 278 0.235886070194 Henry Cohn, 2026, needs more optimization.
19 279 0.237008160346 Henry Cohn, 2026, needs more optimization.
19 280 0.237984017289 Henry Cohn, 2026, needs more optimization.
19 291 0.238519273263 Henry Cohn, 2026.
199⁢x3+33⁢x2−15⁢x−1
19 292 0.240704635253 Henry Cohn, 2026, needs more optimization.
19 293 0.242296794172 Henry Cohn, 2026, needs more optimization.
19 294 0.243821122648 Henry Cohn, 2026, needs more optimization.
19 295 0.244482809548 Henry Cohn, 2026, needs more optimization.
19 296 0.244729045323 Henry Cohn, 2026, needs more optimization.
19 297 0.245791719042 Henry Cohn, 2026, needs more optimization.
19 298 0.245995028956 Henry Cohn, 2026, needs more optimization.
19 299 0.246428418837 Henry Cohn, 2026, needs more optimization.
19 300 0.246533721126 Henry Cohn, 2026, needs more optimization.
19 301 0.247762255828 Henry Cohn, 2026, needs more optimization.
19 302 0.248087562859 Henry Cohn, 2026, needs more optimization.
19 303 0.248938709860 Henry Cohn, 2026, needs more optimization.
19 304 0.249109051563 Henry Cohn, 2026, needs more optimization.
19 305 0.249315495397 Henry Cohn, 2026, needs more optimization.
19 306 0.249752909538 Henry Cohn, 2026, needs more optimization.
19 308 0.249855936618 Henry Cohn, 2026, needs more optimization.
19 309 0.249884815611 Henry Cohn, 2026, needs more optimization.
19 310 0.249891435000 Henry Cohn, 2026, needs more optimization.
19 311 0.249895961214 Henry Cohn, 2026, needs more optimization.
19 312 0.249901179253 Henry Cohn, 2026, needs more optimization.
19 316 0.249906547680 Henry Cohn, 2026, needs more optimization.
19 318 0.249938579313 Henry Cohn, 2026, needs more optimization.
19 319 0.249952886785 Henry Cohn, 2026, needs more optimization.
19 321 0.249953019350 Henry Cohn, 2026, needs more optimization.
19 322 0.249999769008 Henry Cohn, 2026, needs more optimization.
19 324 0.250000262785 Henry Cohn, 2026, needs more optimization.
19 325 0.250044072857 Henry Cohn, 2026, needs more optimization.
19 326 0.250142464309 Henry Cohn, 2026, needs more optimization.
19 327 0.250515898218 Henry Cohn, 2026, needs more optimization.
19 328 0.251779735752 Henry Cohn, 2026, needs more optimization.
19 329 0.252744606053 Henry Cohn, 2026, needs more optimization.
19 330 0.252970619023 Henry Cohn, 2026, needs more optimization.
19 331 0.253767251042 Henry Cohn, 2026, needs more optimization.
19 332 0.255659368060 Henry Cohn, 2026, needs more optimization.
19 333 0.256135855980 Henry Cohn, 2026, needs more optimization.
19 334 0.257973348002 Henry Cohn, 2026, needs more optimization.
19 335 0.258029077755 Henry Cohn, 2026, needs more optimization.
19 336 0.258102112542 Henry Cohn, 2026, needs more optimization.
19 337 0.258189335326 Henry Cohn, 2026, needs more optimization.
19 338 0.258247009580 Henry Cohn, 2026, needs more optimization.
19 339 0.258353681610 Henry Cohn, 2026, needs more optimization.
19 340 0.258478739641 Henry Cohn, 2026, needs more optimization.
19 341 0.258539389048 Henry Cohn, 2026, needs more optimization.
19 342 0.258639599537 Henry Cohn, 2026, needs more optimization.
19 343 0.258804106360 Henry Cohn, 2026, needs more optimization.
19 344 0.258815767539 Henry Cohn, 2026, needs more optimization.
19 345 0.258816563755 Henry Cohn, 2026, needs more optimization.
19 346 0.258826117976 Henry Cohn, 2026, needs more optimization.
19 347 0.258830091779 Henry Cohn, 2026, needs more optimization.
19 348 0.258871269603 Henry Cohn, 2026, needs more optimization.
19 349 0.258924482730 Henry Cohn, 2026, needs more optimization.
19 350 0.259050708897 Henry Cohn, 2026, needs more optimization.
19 351 0.259173494630 Henry Cohn, 2026, needs more optimization.
19 352 0.259221944117 Henry Cohn, 2026, needs more optimization.
19 353 0.259289677582 Henry Cohn, 2026, needs more optimization.
19 354 0.259359382071 Henry Cohn, 2026, needs more optimization.
19 355 0.259408811163 Henry Cohn, 2026, needs more optimization.
19 356 0.259435846727 Henry Cohn, 2026, needs more optimization.
19 357 0.259528240961 Henry Cohn, 2026, needs more optimization.
19 358 0.259771693266 Henry Cohn, 2026, needs more optimization.
19 359 0.259951736861 Henry Cohn, 2026, needs more optimization.
19 360 0.260586626727 Henry Cohn, 2026, needs more optimization.
19 361 0.261336361386 Henry Cohn, 2026, needs more optimization.
19 362 0.263643507919 Henry Cohn, 2026, needs more optimization.
19 363 0.264572302392 Henry Cohn, 2026, needs more optimization.
19 364 0.265108452326 Henry Cohn, 2026, needs more optimization.
19 365 0.266421291327 Henry Cohn, 2026, needs more optimization.
19 366 0.267497861944 Henry Cohn, 2026, needs more optimization.
19 367 0.268521021388 Henry Cohn, 2026, needs more optimization.
19 368 0.269906771338 Henry Cohn, 2026, needs more optimization.
19 369 0.271284401119 Henry Cohn, 2026, needs more optimization.
19 404 0.272727272728 C. Ma, T. Tao Z., P. Li, M. Liu, H. Chen, Z. Mao, Y. Cheng, Y. Qi, and Y. Yang, Finding kissing numbers with game-theoretic reinforcement learning, preprint, 2025, arXiv:2511.13391.
11⁢x−3
19 405 0.278180713819 Henry Cohn, 2026, needs more optimization.
19 406 0.279384866685 Henry Cohn, 2026, needs more optimization.
19 407 0.280367743000 Henry Cohn, 2026, needs more optimization.
19 408 0.281350861821 Henry Cohn, 2026, needs more optimization.
19 409 0.282093844312 Henry Cohn, 2026, needs more optimization.
19 410 0.282455902635 Henry Cohn, 2026, needs more optimization.
19 411 0.282665892794 Henry Cohn, 2026, needs more optimization.
19 412 0.282900006495 Henry Cohn, 2026, needs more optimization.
19 413 0.283124637852 Henry Cohn, 2026, needs more optimization.
19 414 0.283380336883 Henry Cohn, 2026, needs more optimization.
19 415 0.283820923856 Henry Cohn, 2026, needs more optimization.
19 416 0.285208300319 Henry Cohn, 2026, needs more optimization.
19 417 0.285989103175 Henry Cohn, 2026, needs more optimization.
19 418 0.286620327997 Henry Cohn, 2026, needs more optimization.
19 419 0.286897284478 Henry Cohn, 2026, needs more optimization.
19 420 0.287320644717 Henry Cohn, 2026, needs more optimization.
19 477 0.287671232877 Henry Cohn, 2026.
73⁢x−21
19 478 0.287797945587 Henry Cohn, 2026, needs more optimization.
19 479 0.287873233823 Henry Cohn, 2026, needs more optimization.
19 480 0.287925870162 Henry Cohn, 2026, needs more optimization.
19 569 0.294117647059 C. Ma, T. Tao Z., P. Li, M. Liu, H. Chen, Z. Mao, Y. Cheng, Y. Qi, and Y. Yang, Finding kissing numbers with game-theoretic reinforcement learning, preprint, 2025, arXiv:2511.13391.
17⁢x−5
19 578 0.294117647059 Henry Cohn, 2026.
17⁢x−5
19 579 0.295154602316 Henry Cohn, 2026, needs more optimization.
19 580 0.295510110684 Robert Dallara, 2026.
19 582 0.295990135162 Henry Cohn, 2026, needs more optimization.
19 583 0.296393084382 Henry Cohn, 2026, needs more optimization.
19 584 0.296835017889 Henry Cohn, 2026, needs more optimization.
19 585 0.296934343909 Henry Cohn, 2026, needs more optimization.
19 586 0.297170049981 Henry Cohn, 2026, needs more optimization.
19 587 0.297366006878 Henry Cohn, 2026, needs more optimization.
19 588 0.297835405644 Henry Cohn, 2026, needs more optimization.
19 589 0.298138106114 Henry Cohn, 2026, needs more optimization.
19 590 0.298503960732 Henry Cohn, 2026, needs more optimization.
19 591 0.298831812460 Henry Cohn, 2026, needs more optimization.
19 592 0.299187675774 Henry Cohn, 2026, needs more optimization.
19 593 0.299286046781 Henry Cohn, 2026, needs more optimization.
19 594 0.299540141019 Henry Cohn, 2026, needs more optimization.
19 595 0.299674080354 Henry Cohn, 2026, needs more optimization.
19 596 0.299852842455 Henry Cohn, 2026, needs more optimization.
19 597 0.300024574797 Henry Cohn, 2026, needs more optimization.
19 598 0.300175802119 Henry Cohn, 2026, needs more optimization.
19 599 0.300366911115 Henry Cohn, 2026, needs more optimization.
19 600 0.300489543469 Henry Cohn, 2026, needs more optimization.
19 601 0.300634371296 Henry Cohn, 2026, needs more optimization.
19 602 0.300838648047 Henry Cohn, 2026, needs more optimization.
19 603 0.301013105225 Henry Cohn, 2026, needs more optimization.
19 604 0.301359904852 Henry Cohn, 2026, needs more optimization.
19 605 0.301633285303 Henry Cohn, 2026, needs more optimization.
19 606 0.301896397371 Henry Cohn, 2026, needs more optimization.
19 607 0.302100645303 Henry Cohn, 2026, needs more optimization.
19 608 0.302342660815 Henry Cohn, 2026, needs more optimization.
19 609 0.302592827290 Henry Cohn, 2026, needs more optimization.
19 610 0.302849023516 Henry Cohn, 2026, needs more optimization.
19 611 0.303037641107 Henry Cohn, 2026, needs more optimization.
19 615 0.303203785096 Henry Cohn, 2026, needs more optimization.
19 619 0.303773588742 Robert Dallara, 2026.
19 620 0.304346546517 Henry Cohn, 2026, needs more optimization.
19 621 0.304449012980 Henry Cohn, 2026, needs more optimization.
19 622 0.304551559655 Henry Cohn, 2026, needs more optimization.
19 623 0.305092664093 Henry Cohn, 2026, needs more optimization.
19 624 0.305096043992 Henry Cohn, 2026, needs more optimization.
19 625 0.305097251064 Henry Cohn, 2026, needs more optimization.
19 626 0.305106738055 Henry Cohn, 2026, needs more optimization.
19 627 0.305114261859 Henry Cohn, 2026, needs more optimization.
19 628 0.305118234956 Henry Cohn, 2026, needs more optimization.
19 629 0.305123985994 Henry Cohn, 2026, needs more optimization.
19 630 0.305129359738 Henry Cohn, 2026, needs more optimization.
19 631 0.305132809153 Henry Cohn, 2026, needs more optimization.
19 632 0.305144682179 Henry Cohn, 2026, needs more optimization.
19 633 0.305147820534 Henry Cohn, 2026, needs more optimization.
19 634 0.305152503710 Henry Cohn, 2026, needs more optimization.
19 635 0.305155443807 Henry Cohn, 2026, needs more optimization.
19 636 0.305160760945 Henry Cohn, 2026, needs more optimization.
19 637 0.305164385466 Henry Cohn, 2026, needs more optimization.
19 638 0.305168565825 Henry Cohn, 2026, needs more optimization.
19 639 0.305172393405 Henry Cohn, 2026, needs more optimization.
19 640 0.305174490037 Henry Cohn, 2026, needs more optimization.
19 641 0.308263750996 Henry Cohn, 2026, needs more optimization.
19 642 0.308276216068 Henry Cohn, 2026, needs more optimization.
19 643 0.308281147253 Henry Cohn, 2026, needs more optimization.
19 644 0.308281619733 Henry Cohn, 2026, needs more optimization.
19 645 0.309144611230 Henry Cohn, 2026, needs more optimization.
19 646 0.309756103233 Henry Cohn, 2026, needs more optimization.
19 647 0.310676756820 Henry Cohn, 2026, needs more optimization.
19 648 0.310959396013 Henry Cohn, 2026, needs more optimization.
19 649 0.311339318998 Henry Cohn, 2026, needs more optimization.
19 650 0.311459517183 Henry Cohn, 2026, needs more optimization.
19 651 0.311956748427 Henry Cohn, 2026, needs more optimization.
19 652 0.312211551349 Henry Cohn, 2026, needs more optimization.
19 653 0.312267857276 Henry Cohn, 2026, needs more optimization.
19 654 0.312731782422 Henry Cohn, 2026, needs more optimization.
19 655 0.312977276184 Henry Cohn, 2026, needs more optimization.
19 656 0.313150662390 Henry Cohn, 2026, needs more optimization.
19 657 0.313578743829 Henry Cohn, 2026, needs more optimization.
19 658 0.313799795688 Henry Cohn, 2026, needs more optimization.
19 659 0.314009792783 Henry Cohn, 2026, needs more optimization.
19 660 0.314163236224 Henry Cohn, 2026, needs more optimization.
19 661 0.314393045267 Henry Cohn, 2026, needs more optimization.
19 662 0.314544277613 Henry Cohn, 2026, needs more optimization.
19 663 0.314809474546 Henry Cohn, 2026, needs more optimization.
19 664 0.314972874047 Henry Cohn, 2026, needs more optimization.
19 665 0.315218693676 Henry Cohn, 2026, needs more optimization.
19 666 0.315351818261 Henry Cohn, 2026, needs more optimization.
19 667 0.315390508412 Henry Cohn, 2026, needs more optimization.
19 668 0.315672868200 Henry Cohn, 2026, needs more optimization.
19 669 0.315850906547 Henry Cohn, 2026, needs more optimization.
19 670 0.316102824309 Henry Cohn, 2026, needs more optimization.
19 671 0.316452513234 Henry Cohn, 2026, needs more optimization.
19 672 0.316543787084 Henry Cohn, 2026, needs more optimization.
19 673 0.316700032779 Henry Cohn, 2026, needs more optimization.
19 674 0.316961188780 Henry Cohn, 2026, needs more optimization.
19 675 0.317116591214 Henry Cohn, 2026, needs more optimization.
19 676 0.317245304679 Henry Cohn, 2026, needs more optimization.
19 677 0.317315443882 Henry Cohn, 2026, needs more optimization.
19 678 0.317572743628 Henry Cohn, 2026, needs more optimization.
19 679 0.317927947815 Henry Cohn, 2026, needs more optimization.
19 680 0.318232309180 Henry Cohn, 2026, needs more optimization.
19 681 0.318366694739 Henry Cohn, 2026, needs more optimization.
19 682 0.318722695017 Henry Cohn, 2026, needs more optimization.
19 683 0.318984838894 Henry Cohn, 2026, needs more optimization.
19 684 0.319315872800 Henry Cohn, 2026, needs more optimization.
19 685 0.319451504058 Henry Cohn, 2026, needs more optimization.
19 686 0.319674854253 Henry Cohn, 2026, needs more optimization.
19 687 0.319785959694 Henry Cohn, 2026, needs more optimization.
19 688 0.320173983406 Henry Cohn, 2026, needs more optimization.
19 689 0.320281566976 Henry Cohn, 2026, needs more optimization.
19 690 0.320489392477 Henry Cohn, 2026, needs more optimization.
19 691 0.320723885043 Henry Cohn, 2026, needs more optimization.
19 692 0.321068273620 Henry Cohn, 2026, needs more optimization.
19 693 0.321286830619 Henry Cohn, 2026, needs more optimization.
19 694 0.321406553180 Henry Cohn, 2026, needs more optimization.
19 695 0.321757346107 Henry Cohn, 2026, needs more optimization.
19 696 0.321903769799 Henry Cohn, 2026, needs more optimization.
19 697 0.322133994506 Henry Cohn, 2026, needs more optimization.
19 698 0.322371033964 Henry Cohn, 2026, needs more optimization.
19 699 0.322542445303 Henry Cohn, 2026, needs more optimization.
19 700 0.322608870507 Henry Cohn, 2026, needs more optimization.
19 701 0.322685573713 Henry Cohn, 2026, needs more optimization.
19 702 0.322920339413 Henry Cohn, 2026, needs more optimization.
19 703 0.323171951996 Robert Dallara, 2026.
19 704 0.323563557388 Henry Cohn, 2026, needs more optimization.
19 705 0.323707248476 Henry Cohn, 2026, needs more optimization.
19 706 0.323801337479 Henry Cohn, 2026, needs more optimization.
19 707 0.323987738831 Henry Cohn, 2026, needs more optimization.
19 708 0.324132805360 Henry Cohn, 2026, needs more optimization.
19 709 0.324304354220 Henry Cohn, 2026, needs more optimization.
19 710 0.324379906859 Henry Cohn, 2026, needs more optimization.
19 711 0.324395775897 Henry Cohn, 2026, needs more optimization.
19 712 0.324548861338 Henry Cohn, 2026, needs more optimization.
19 713 0.324821014094 Henry Cohn, 2026, needs more optimization.
19 714 0.324918594919 Henry Cohn, 2026, needs more optimization.
19 715 0.325139983161 Henry Cohn, 2026, needs more optimization.
19 716 0.325361708410 Henry Cohn, 2026, needs more optimization.
19 717 0.325612434609 Henry Cohn, 2026, needs more optimization.
19 718 0.325804006852 Henry Cohn, 2026, needs more optimization.
19 719 0.326036450524 Henry Cohn, 2026, needs more optimization.
19 720 0.326204000920 Henry Cohn, 2026, needs more optimization.
19 721 0.326323735520 Henry Cohn, 2026, needs more optimization.
19 722 0.326526158731 Henry Cohn, 2026, needs more optimization.
19 723 0.326633833223 Henry Cohn, 2026, needs more optimization.
19 724 0.326711127454 Henry Cohn, 2026, needs more optimization.
19 725 0.326817379176 Henry Cohn, 2026, needs more optimization.
19 726 0.326984995732 Henry Cohn, 2026, needs more optimization.
19 727 0.327093603724 Henry Cohn, 2026, needs more optimization.
19 728 0.327249635022 Henry Cohn, 2026, needs more optimization.
19 729 0.327400827943 Henry Cohn, 2026, needs more optimization.
19 730 0.327702737557 Henry Cohn, 2026, needs more optimization.
19 731 0.327798553231 Henry Cohn, 2026, needs more optimization.
19 732 0.327927443648 Henry Cohn, 2026, needs more optimization.
19 733 0.328109851331 Henry Cohn, 2026, needs more optimization.
19 734 0.328247528722 Henry Cohn, 2026, needs more optimization.
19 735 0.328425126581 Henry Cohn, 2026, needs more optimization.
19 736 0.328566423648 Henry Cohn, 2026, needs more optimization.
19 737 0.328755706981 Henry Cohn, 2026, needs more optimization.
19 738 0.328944344929 Henry Cohn, 2026, needs more optimization.
19 739 0.329136714337 Henry Cohn, 2026, needs more optimization.
19 740 0.329436596719 Henry Cohn, 2026, needs more optimization.
19 741 0.329750896349 Henry Cohn, 2026, needs more optimization.
19 742 0.329870934695 Henry Cohn, 2026, needs more optimization.
19 743 0.330128046560 Henry Cohn, 2026, needs more optimization.
19 744 0.330392723730 Henry Cohn, 2026, needs more optimization.
19 745 0.330484236946 Henry Cohn, 2026, needs more optimization.
19 746 0.330737720171 Henry Cohn, 2026, needs more optimization.
19 747 0.330830514165 Henry Cohn, 2026, needs more optimization.
19 748 0.331084328133 Henry Cohn, 2026, needs more optimization.
19 749 0.331220815943 Henry Cohn, 2026, needs more optimization.
19 750 0.331413064381 Henry Cohn, 2026, needs more optimization.
19 751 0.331645333101 Henry Cohn, 2026, needs more optimization.
19 752 0.331878521598 Henry Cohn, 2026, needs more optimization.
19 753 0.332136895864 Henry Cohn, 2026, needs more optimization.
19 754 0.332340460086 Henry Cohn, 2026, needs more optimization.
19 755 0.332672510612 Henry Cohn, 2026, needs more optimization.
19 756 0.332848022595 Henry Cohn, 2026, needs more optimization.
19 757 0.333055194269 Henry Cohn, 2026, needs more optimization.
19 896 0.333333333334 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
3⁢x−1
19 897 0.339468225234 Henry Cohn, 2026, needs more optimization.
19 898 0.341203619174 Henry Cohn, 2026, needs more optimization.
19 899 0.342630959057 Henry Cohn, 2026, needs more optimization.
19 900 0.344028056246 Henry Cohn, 2026, needs more optimization.
19 901 0.345530977582 Henry Cohn, 2026, needs more optimization.
19 902 0.346047631383 Henry Cohn, 2026, needs more optimization.
19 903 0.346834034945 Henry Cohn, 2026, needs more optimization.
19 904 0.347400474079 Henry Cohn, 2026, needs more optimization.
19 905 0.347928799790 Henry Cohn, 2026, needs more optimization.
19 906 0.348379179702 Henry Cohn, 2026, needs more optimization.
19 907 0.349035496845 Henry Cohn, 2026, needs more optimization.
19 908 0.349287851483 Henry Cohn, 2026, needs more optimization.
19 909 0.349719626808 Henry Cohn, 2026, needs more optimization.
19 910 0.350000014915 Henry Cohn, 2026, needs more optimization.
19 911 0.350105991063 Henry Cohn, 2026, needs more optimization.
19 912 0.350850553550 Henry Cohn, 2026, needs more optimization.
19 913 0.350981114829 Henry Cohn, 2026, needs more optimization.
19 914 0.351378847946 Henry Cohn, 2026, needs more optimization.
19 915 0.351463294921 Henry Cohn, 2026, needs more optimization.
19 916 0.351524278091 Henry Cohn, 2026, needs more optimization.
19 917 0.351612340321 Henry Cohn, 2026, needs more optimization.
19 918 0.351656567711 Henry Cohn, 2026, needs more optimization.
19 919 0.351793158307 Henry Cohn, 2026, needs more optimization.
19 920 0.351910920606 Henry Cohn, 2026, needs more optimization.
19 921 0.352102403783 Henry Cohn, 2026, needs more optimization.
19 922 0.352185280406 Henry Cohn, 2026, needs more optimization.
19 923 0.352263455320 Henry Cohn, 2026, needs more optimization.
19 924 0.352459780257 Henry Cohn, 2026, needs more optimization.
19 925 0.352529652799 Henry Cohn, 2026, needs more optimization.
19 926 0.352729997533 Henry Cohn, 2026, needs more optimization.
19 927 0.352981149585 Henry Cohn, 2026, needs more optimization.
19 928 0.353075857925 Henry Cohn, 2026, needs more optimization.
19 929 0.353213856650 Henry Cohn, 2026, needs more optimization.
19 930 0.353417600507 Henry Cohn, 2026, needs more optimization.
19 931 0.353667822805 Henry Cohn, 2026, needs more optimization.
19 932 0.353766517940 Henry Cohn, 2026, needs more optimization.
19 933 0.353855407925 Henry Cohn, 2026, needs more optimization.
19 934 0.354022188138 Henry Cohn, 2026, needs more optimization.
19 935 0.354183261505 Henry Cohn, 2026, needs more optimization.
19 936 0.354326432779 Henry Cohn, 2026, needs more optimization.
19 937 0.354508371511 Henry Cohn, 2026, needs more optimization.
19 938 0.354673829334 Henry Cohn, 2026, needs more optimization.
19 1024 0.354838709678 Henry Cohn, 2026, subcode of a code of size 1040.
31⁢x−11
20 41 0.038815055717 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
6480⁢x3−400⁢x2−20⁢x+1
20 42 0.045454545455 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
22⁢x−1
20 43 0.050117159654 Henry Cohn, 2024.
6493504⁢x6+4442432⁢x5−359919⁢x4−90844⁢x3+13006⁢x2−588⁢x+9
20 44 0.051781487230 Henry Cohn, 2023.
20 45 0.053400898990 Henry Cohn, 2023.
Minimal polynomial listed in plain text data
20 46 0.053968966531 Henry Cohn, 2025.
20 47 0.053993355922 Henry Cohn, 2023.
120⁢x2−25⁢x+1
20 48 0.055838151510 Henry Cohn, 2023.
464⁢x2−8⁢x−1
20 49 0.060513303142 Henry Cohn, 2023.
Minimal polynomial listed in plain text data
20 50 0.063702950432 Henry Cohn, 2025.
20 56* 0.066666666667 T. Ericson and V. Zinoviev, Spherical codes generated by binary partitions of symmetric pointsets, IEEE Trans. Inform. Theory 41 (1995), 107–129, doi:10.1109/18.370114; H. Cohn, D. de Laat, and N. Leijenhorst, Optimality of spherical codes via exact semidefinite programming bounds, preprint, 2024, arXiv:2403.16874.
15⁢x−1
20 60 0.076923076924 Kissing configuration of 77 points in 21 dimensions.
13⁢x−1
20 63 0.081967213115 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
61⁢x−5
20 64 0.087282748333 Henry Cohn, 2026.
20 65 0.087640553688 Henry Cohn, 2026.
185075⁢x5−15027⁢x4−1354⁢x3+82⁢x2−9⁢x+1
20 66 0.089335555280 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
1098289⁢x4−254252⁢x3+10910⁢x2+708⁢x−39
20 67 0.090150903490 Henry Cohn, 2026.
2103⁢x4−1376⁢x3+230⁢x2−1
20 68 0.092978419163 Henry Cohn, 2026.
20 69 0.094913515239 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
20 70 0.095127924312 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
Minimal polynomial listed in plain text data
20 71 0.098281336418 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
20 81 0.1 A. E. Brouwer and W. H. Haemers, Structure and uniqueness of the (81,20,1,6) strongly regular graph, Discrete Math. 106/107 (1992), 77–82, doi:10.1016/0012-365X(92)90532-K.
10⁢x−1
20 82 0.111111111112 Henry Cohn, 2026.
9⁢x−1
20 83 0.112466798699 Uploaded by anonymous internet user, 2026.
20 84 0.112889958832 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
20 85 0.112902505491 Henry Cohn, 2026, needs more optimization.
20 86 0.112907510108 Henry Cohn, 2026, needs more optimization.
20 87 0.112908083636 Arhan Canli, 2026.
20 88 0.112909627578 Arhan Canli, 2026.
20 89 0.112909657462 Arhan Canli, 2026.
20 90 0.112912075384 Henry Cohn, 2026, needs more optimization.
20 91 0.112912613358 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
20 92 0.112912613537 Henry Cohn, 2025.
167⁢x2−10⁢x−1
20 93 0.118699001808 Henry Cohn, 2026.
20 94 0.124468630127 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
20 105 0.125 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
8⁢x−1
20 106 0.136915269061 Henry Cohn, 2026.
7225⁢x4−990⁢x3−480⁢x2+9
20 120 0.142857142858 T. Ericson and V. Zinoviev, Spherical codes generated by binary partitions of symmetric pointsets, IEEE Trans. Inform. Theory 41 (1995), 107–129, doi:10.1109/18.370114.
7⁢x−1
20 124 0.145853791080 Henry Cohn, 2026.
Minimal polynomial listed in plain text data
20 125 0.147670835571 Henry Cohn, 2026.
20 126 0.148571041390 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7553200⁢x4−11360760⁢x3−6230840⁢x2+589560⁢x+83521
20 127 0.149442790439 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
20 128 0.149899837872 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
20 129 0.150189358893 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
20 130 0.150241126556 Arhan Canli, 2026.
20 131 0.150478646551 Arhan Canli, 2026.
20 132 0.150479515514 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
20 133 0.151424111892 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
20 136 0.151500526296 Henry Cohn, 2026.
960⁢x3+339⁢x2−146⁢x+11
20 137 0.153036408394 Henry Cohn, 2026, needs more optimization.
20 138 0.154371534115 Henry Cohn, 2026, needs more optimization.
20 139 0.154944920631 Henry Cohn, 2026, needs more optimization.
20 140 0.155950356108 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
20 141 0.157229456154 Henry Cohn, 2026, needs more optimization.
20 142 0.161809087522 Henry Cohn, 2026, needs more optimization.
20 143 0.166570052975 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
20 170 0.166666666667 E. Bannai and N. J. A. Sloane, Uniqueness of certain spherical codes, Canadian J. Math. 33 (1981), 437–449, doi:10.4153/CJM-1981-038-7.
6⁢x−1
20 171 0.181511878216 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
20 172 0.187873472113 Henry Cohn, 2026, needs more optimization.
20 190 0.189189189190 Kevin Li, 2026.
37⁢x−7
20 191 0.189238276287 Arhan Canli, 2026.
20 203 0.191919191920 Henry Cohn, 2026.
99⁢x−19
20 204 0.192054325921 Henry Cohn, 2026, needs more optimization.
20 231 0.192307692308 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
26⁢x−5
20 256 0.2 T. Ericson and V. Zinoviev, Spherical codes generated by binary partitions of symmetric pointsets, IEEE Trans. Inform. Theory 41 (1995), 107–129, doi:10.1109/18.370114.
5⁢x−1
20 257 0.203357314598 Henry Cohn, 2026.
112896⁢x4−30400⁢x3−13600⁢x2+625
20 258 0.205762308446 Henry Cohn, 2026, needs more optimization.
20 259 0.206601200687 Henry Cohn, 2026, needs more optimization.
20 260 0.208062801955 Henry Cohn, 2026, needs more optimization.
20 263 0.208219478342 Henry Cohn, 2026, needs more optimization.
20 264 0.208832042663 Henry Cohn, 2026, needs more optimization.
20 265 0.211454101235 Henry Cohn, 2026, needs more optimization.
20 266 0.211887768922 Henry Cohn, 2026, needs more optimization.
20 267 0.212320879928 Henry Cohn, 2026, needs more optimization.
20 268 0.212551858035 Henry Cohn, 2026, needs more optimization.
20 269 0.212813446743 Henry Cohn, 2026, needs more optimization.
20 270 0.213128939466 Henry Cohn, 2026, needs more optimization.
20 271 0.213447852942 Henry Cohn, 2026, needs more optimization.
20 272 0.213885456499 Henry Cohn, 2026, needs more optimization.
20 273 0.214281769280 Henry Cohn, 2026, needs more optimization.
20 274 0.214675733726 Henry Cohn, 2026, needs more optimization.
20 275 0.214941056313 Henry Cohn, 2026, needs more optimization.
20 276 0.215250751567 Henry Cohn, 2026, needs more optimization.
20 277 0.215776253751 Henry Cohn, 2026, needs more optimization.
20 278 0.216021569996 Henry Cohn, 2026, needs more optimization.
20 279 0.216300820974 Henry Cohn, 2026, needs more optimization.
20 280 0.216527327431 Henry Cohn, 2026, needs more optimization.
20 281 0.216758694495 Henry Cohn, 2026, needs more optimization.
20 282 0.217024137522 Henry Cohn, 2026, needs more optimization.
20 283 0.217348513000 Henry Cohn, 2026, needs more optimization.
20 284 0.217546205635 Henry Cohn, 2026, needs more optimization.
20 285 0.217581746045 Henry Cohn, 2026, needs more optimization.
20 286 0.217820662288 Henry Cohn, 2026, needs more optimization.
20 287 0.217994729970 Henry Cohn, 2026, needs more optimization.
20 288 0.217996137584 Henry Cohn, 2026, needs more optimization.
20 289 0.219882824627 Henry Cohn, 2026, needs more optimization.
20 290 0.220198993016 Henry Cohn, 2026, needs more optimization.
20 291 0.220578967145 Henry Cohn, 2026, needs more optimization.
20 292 0.220686371640 Henry Cohn, 2026, needs more optimization.
20 293 0.220688766057 Henry Cohn, 2026, needs more optimization.
20 294 0.220689220410 Henry Cohn, 2026, needs more optimization.
20 301 0.222222222223 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
9⁢x−2
20 322 0.222222222223 Henry Cohn, 2025, by enlarging a code from T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
9⁢x−2
20 323 0.232387029873 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
20 324 0.236094947374 Henry Cohn, 2026, needs more optimization.
20 378 0.236363636364 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
55⁢x−13
20 379 0.242464085618 Henry Cohn, 2026, needs more optimization.
20 380 0.242498732766 Henry Cohn, 2026, needs more optimization.
20 381 0.242555570188 Henry Cohn, 2026, needs more optimization.
20 382 0.242610847077 Henry Cohn, 2026, needs more optimization.
20 383 0.242675886886 Henry Cohn, 2026, needs more optimization.
20 384 0.242770667356 Henry Cohn, 2026, needs more optimization.
20 385 0.242789937739 Henry Cohn, 2026, needs more optimization.
20 386 0.242850459978 Henry Cohn, 2026, needs more optimization.
20 387 0.242922021777 Henry Cohn, 2026, needs more optimization.
20 388 0.243020601381 Henry Cohn, 2026, needs more optimization.
20 389 0.243100870392 Henry Cohn, 2026, needs more optimization.
20 390 0.243171231294 Henry Cohn, 2026, needs more optimization.
20 391 0.243219017277 Henry Cohn, 2026, needs more optimization.
20 392 0.243332229098 C. Ma, T. Tao Z., P. Li, M. Liu, H. Chen, Z. Mao, Y. Cheng, Y. Qi, and Y. Yang, Finding kissing numbers with game-theoretic reinforcement learning, preprint, 2025, arXiv:2511.13391.
Minimal polynomial listed in plain text data
20 393 0.247798395759 Henry Cohn, 2026, needs more optimization.
20 405 0.25 C. Ma, T. Tao Z., P. Li, M. Liu, H. Chen, Z. Mao, Y. Cheng, Y. Qi, and Y. Yang, Finding kissing numbers with game-theoretic reinforcement learning, preprint, 2025, arXiv:2511.13391.
4⁢x−1
20 406 0.262172700434 Henry Cohn, 2026, needs more optimization.
20 407 0.264975995554 Henry Cohn, 2026, needs more optimization.
20 473 0.266666666667 Henry Cohn, 2025.
15⁢x−4
20 474 0.269855640235 Henry Cohn, 2026, needs more optimization.
20 475 0.270933957808 Henry Cohn, 2026, needs more optimization.
20 476 0.271648219365 Henry Cohn, 2026, needs more optimization.
20 477 0.272518822148 Henry Cohn, 2026, needs more optimization.
20 524 0.272727272728 C. Ma, T. Tao Z., P. Li, M. Liu, H. Chen, Z. Mao, Y. Cheng, Y. Qi, and Y. Yang, Finding kissing numbers with game-theoretic reinforcement learning, preprint, 2025, arXiv:2511.13391.
11⁢x−3
20 567 0.273861278753 C. Ma, T. Tao Z., P. Li, M. Liu, H. Chen, Z. Mao, Y. Cheng, Y. Qi, and Y. Yang, Finding kissing numbers with game-theoretic reinforcement learning, preprint, 2025, arXiv:2511.13391.
40⁢x2−3
20 568 0.280556237495 Henry Cohn, 2026, needs more optimization.
20 569 0.283698538889 Henry Cohn, 2026, needs more optimization.
20 640 0.285714285715 C. Ma, T. Tao Z., P. Li, M. Liu, H. Chen, Z. Mao, Y. Cheng, Y. Qi, and Y. Yang, Finding kissing numbers with game-theoretic reinforcement learning, preprint, 2025, arXiv:2511.13391.
7⁢x−2
20 641 0.292028046592 Henry Cohn, 2026, needs more optimization.
20 642 0.292808580781 Henry Cohn, 2026, needs more optimization.
20 643 0.293300824869 Henry Cohn, 2026, needs more optimization.
20 644 0.294242441158 Henry Cohn, 2026, needs more optimization.
20 645 0.295374227484 Henry Cohn, 2026, needs more optimization.
20 646 0.295488869500 Henry Cohn, 2026, needs more optimization.
20 647 0.297077259821 Henry Cohn, 2026, needs more optimization.
20 840 0.3 C. Ma, T. Tao Z., P. Li, M. Liu, H. Chen, Z. Mao, Y. Cheng, Y. Qi, and Y. Yang, Finding kissing numbers with game-theoretic reinforcement learning, preprint, 2025, arXiv:2511.13391.
10⁢x−3
20 841 0.303064565750 Henry Cohn, 2026, needs more optimization.
20 842 0.304747254557 Henry Cohn, 2026, needs more optimization.
20 843 0.305581211495 Henry Cohn, 2026, needs more optimization.
20 1002 0.307692307693 C. Ma, T. Tao Z., P. Li, M. Liu, H. Chen, Z. Mao, Y. Cheng, Y. Qi, and Y. Yang, Finding kissing numbers with game-theoretic reinforcement learning, preprint, 2025, arXiv:2511.13391.
13⁢x−4
20 1004 0.314817565861 Henry Cohn, 2026, needs more optimization.
20 1005 0.315888882339 Henry Cohn, 2026, needs more optimization.
20 1006 0.316177394261 Henry Cohn, 2026, needs more optimization.
20 1007 0.316636191938 Henry Cohn, 2026, needs more optimization.
20 1008 0.316767067235 Henry Cohn, 2026, needs more optimization.
20 1009 0.318367344147 Henry Cohn, 2026, needs more optimization.
20 1012 0.319294590349 Henry Cohn, 2026, needs more optimization.
20 1018 0.320894708014 Henry Cohn, 2026, needs more optimization.
20 1019 0.322533410966 Henry Cohn, 2026, needs more optimization.
20 1020 0.322731268422 Henry Cohn, 2026, needs more optimization.
20 1021 0.322929325260 Henry Cohn, 2026, needs more optimization.
20 1022 0.323431437256 Henry Cohn, 2026, needs more optimization.
20 1023 0.323981347940 Henry Cohn, 2026, needs more optimization.
20 1024 0.323985640157 Robert Dallara, 2026.
21 43 0.037145782135 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
7581⁢x3−441⁢x2−21⁢x+1
21 44 0.043532808199 Henry Cohn, 2023.
21 50* 0.047619047620 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001; H. Cohn, D. de Laat, and N. Leijenhorst, Optimality of spherical codes via exact semidefinite programming bounds, preprint, 2024, arXiv:2403.16874.
21⁢x−1
21 51 0.058781524104 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
21 52 0.062634852632 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
21 53 0.066653866627 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
21 54 0.066663628471 Henry Cohn, 2026, needs more optimization.
21 55 0.066665975723 Henry Cohn, 2026, needs more optimization.
21 56 0.066666614051 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
21 57 0.066666660446 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
21 58 0.066666666335 Henry Cohn, 2026, needs more optimization.
21 59 0.072019011748 Henry Cohn, 2025.
Minimal polynomial listed in plain text data
21 60 0.074662292991 Henry Cohn, 2026.
Minimal polynomial listed in plain text data
21 61 0.076923073145 Henry Cohn, 2025, needs more optimization.
21 62 0.076923075369 Henry Cohn, 2025, needs more optimization.
21 63 0.078689325834 Henry Cohn, 2026.
9⁢x2+12⁢x−1
21 64 0.080216778694 Henry Cohn, 2026.
14481⁢x4−18000⁢x3+4848⁢x2−480⁢x+16
21 65 0.081966195796 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
21 77* 0.083333333334 T. Ericson and V. Zinoviev, Spherical codes generated by binary partitions of symmetric pointsets, IEEE Trans. Inform. Theory 41 (1995), 107–129, doi:10.1109/18.370114; H. Cohn, D. de Laat, and N. Leijenhorst, Optimality of spherical codes via exact semidefinite programming bounds, preprint, 2024, arXiv:2403.16874.
12⁢x−1
21 78 0.089655172414 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
145⁢x−13
21 82 0.093297851017 Henry Cohn, 2026.
144⁢x4−840⁢x3+192⁢x2−1
21 83 0.095419617997 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
21 84 0.096073235105 Henry Cohn, 2026.
196416⁢x5−20976⁢x4−1408⁢x3+88⁢x2−4⁢x+1
21 85 0.097701632396 Henry Cohn, 2026, needs more optimization.
21 87 0.103204295473 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
168⁢x3−156⁢x2+24⁢x−1
21 88 0.106199014100 Henry Cohn, 2026.
2135⁢x3+1782⁢x2−25⁢x−20
21 89 0.107226089904 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
21 90 0.108104321417 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
21 92 0.109918568058 Henry Cohn, 2026.
Minimal polynomial listed in plain text data
21 93 0.110695455304 Henry Cohn, 2026, needs more optimization.
21 112* 0.111111111112 P. Delsarte, J. M. Goethals, and J. J. Seidel, Spherical codes and designs, Geometriae Dedicata 6 (1977), 363–388, doi:10.1007/bf03187604; V. I. Levenšteĭn, On bounds for packings in n-dimensional Euclidean space (Russian), Dokl. Akad. Nauk SSSR 245 (1979), 1299–1303, English translation in Soviet Math. Dokl. 20 (1979), 417–421.
9⁢x−1
21 113 0.127363959709 Henry Cohn, 2026.
6125⁢x4−672⁢x3−322⁢x2+5
21 119 0.131782945737 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
129⁢x−17
21 120 0.139344261657 Henry Cohn, 2026, needs more optimization.
21 121 0.139344261810 Henry Cohn, 2026, needs more optimization.
21 122 0.139344262227 Henry Cohn, 2026, needs more optimization.
21 123 0.139383171304 Arhan Canli, 2026.
21 124 0.140534475482 Arhan Canli, 2026.
21 162* 0.142857142858 P. Delsarte, J. M. Goethals, and J. J. Seidel, Spherical codes and designs, Geometriae Dedicata 6 (1977), 363–388, doi:10.1007/bf03187604; V. I. Levenšteĭn, On bounds for packings in n-dimensional Euclidean space (Russian), Dokl. Akad. Nauk SSSR 245 (1979), 1299–1303, English translation in Soviet Math. Dokl. 20 (1979), 417–421.
7⁢x−1
21 163 0.153926281042 Henry Cohn, 2026.
576⁢x4−90⁢x3−42⁢x2+1
21 164 0.160000000017 Henry Cohn, 2026, needs more optimization.
21 165 0.160002030150 Henry Cohn, 2026, needs more optimization.
21 166 0.160159396483 Henry Cohn, 2026, needs more optimization.
21 198 0.161904761905 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
105⁢x−17
21 199 0.172187000249 Henry Cohn, 2026.
24649⁢x4−4608⁢x3−2096⁢x2+64
21 210 0.173428756326 Henry Cohn, 2026.
7695⁢x4+15012⁢x3+4122⁢x2−924⁢x−49
21 217 0.174875298960 C. Ma, T. Tao Z., P. Li, M. Liu, H. Chen, Z. Mao, Y. Cheng, Y. Qi, and Y. Yang, Finding kissing numbers with game-theoretic reinforcement learning, preprint, 2025, arXiv:2511.13391.
119⁢x4+580⁢x3+42⁢x2−20⁢x−1
21 218 0.177286434896 Arhan Canli, 2026.
21 219 0.177401538241 Arhan Canli, 2026.
21 220 0.177459506314 Arhan Canli, 2026.
21 221 0.177479907766 Arhan Canli, 2026.
21 224 0.177492046263 Henry Cohn, 2026, needs more optimization.
21 225 0.178085751307 Henry Cohn, 2026, needs more optimization.
21 226 0.185484136393 Henry Cohn, 2026.
21 227 0.190597757769 Arhan Canli, 2026.
21 233 0.192307692308 Code with 231 points in 20 dimensions, together with two antipodal points orthogonal to it; T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
26⁢x−5
21 235 0.192307692308 Henry Cohn, 2026.
26⁢x−5
21 236 0.194536419951 Arhan Canli, 2026.
21 237 0.195326692364 Arhan Canli, 2026.
21 336 0.2 E. Bannai and N. J. A. Sloane, Uniqueness of certain spherical codes, Canadian J. Math. 33 (1981), 437–449, doi:10.4153/CJM-1981-038-7.
5⁢x−1
21 352 0.214285714286 Henry Cohn, 2026.
14⁢x−3
21 353 0.222395820677 Henry Cohn, 2026.
144⁢x4−42⁢x3−18⁢x2+1
21 373 0.227586206897 C. Ma, T. Tao Z., P. Li, M. Liu, H. Chen, Z. Mao, Y. Cheng, Y. Qi, and Y. Yang, Finding kissing numbers with game-theoretic reinforcement learning, preprint, 2025, arXiv:2511.13391.
145⁢x−33
21 388 0.227586206897 Antoine Jay, 2026, using the program of A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
145⁢x−33
21 397 0.230769230770 Henry Cohn, 2026.
13⁢x−3
21 398 0.232495806717 Henry Cohn, 2026, needs more optimization.
21 554 0.238095238096 T. Ericson and V. Zinoviev, Spherical codes generated by binary partitions of symmetric pointsets, IEEE Trans. Inform. Theory 41 (1995), 107–129, doi:10.1109/18.370114.
21⁢x−5
21 567 0.25 C. Ma, T. Tao Z., P. Li, M. Liu, H. Chen, Z. Mao, Y. Cheng, Y. Qi, and Y. Yang, Finding kissing numbers with game-theoretic reinforcement learning, preprint, 2025, arXiv:2511.13391.
4⁢x−1
21 568 0.253536494886 Henry Cohn, 2026, needs more optimization.
21 569 0.254499250857 Henry Cohn, 2026, needs more optimization.
21 570 0.255064888996 Henry Cohn, 2026, needs more optimization.
21 571 0.255477284700 Henry Cohn, 2026, needs more optimization.
21 572 0.255805544204 Henry Cohn, 2026, needs more optimization.
21 573 0.256122274743 Henry Cohn, 2026, needs more optimization.
21 574 0.256383935513 Henry Cohn, 2026, needs more optimization.
21 575 0.256601169323 Henry Cohn, 2026, needs more optimization.
21 576 0.256818500535 Henry Cohn, 2026, needs more optimization.
21 577 0.257065131695 Henry Cohn, 2026, needs more optimization.
21 578 0.257277685514 Henry Cohn, 2026, needs more optimization.
21 579 0.257423053759 Henry Cohn, 2026, needs more optimization.
21 580 0.257574570548 Henry Cohn, 2026, needs more optimization.
21 581 0.257695090569 Henry Cohn, 2026, needs more optimization.
21 582 0.257814776721 Henry Cohn, 2026, needs more optimization.
21 583 0.257901493774 Henry Cohn, 2026, needs more optimization.
21 584 0.258015670208 Henry Cohn, 2026, needs more optimization.
21 585 0.258106836414 Henry Cohn, 2026, needs more optimization.
21 586 0.258234371052 Henry Cohn, 2026, needs more optimization.
21 587 0.258300377911 Henry Cohn, 2026, needs more optimization.
21 588 0.258372944615 Henry Cohn, 2026, needs more optimization.
21 589 0.258443901099 Henry Cohn, 2026, needs more optimization.
21 590 0.258598877492 Henry Cohn, 2026, needs more optimization.
21 591 0.258699041520 Henry Cohn, 2026, needs more optimization.
21 592 0.258733579358 Henry Cohn, 2026, needs more optimization.
21 593 0.258970475781 Henry Cohn, 2026, needs more optimization.
21 594 0.259204619357 Henry Cohn, 2026, needs more optimization.
21 595 0.259316077589 Henry Cohn, 2026, needs more optimization.
21 596 0.259390836494 Henry Cohn, 2026, needs more optimization.
21 597 0.259458419673 Henry Cohn, 2026, needs more optimization.
21 598 0.259597265153 Henry Cohn, 2026, needs more optimization.
21 599 0.259670814038 Henry Cohn, 2026, needs more optimization.
21 600 0.259736996582 Henry Cohn, 2026, needs more optimization.
21 601 0.259788362521 Henry Cohn, 2026, needs more optimization.
21 602 0.259827598385 Henry Cohn, 2026, needs more optimization.
21 603 0.259903547691 Henry Cohn, 2026, needs more optimization.
21 604 0.259937016680 Henry Cohn, 2026, needs more optimization.
21 605 0.260041518593 Henry Cohn, 2026, needs more optimization.
21 606 0.260130728049 Henry Cohn, 2026, needs more optimization.
21 607 0.260226381744 Henry Cohn, 2026, needs more optimization.
21 608 0.260272873752 Henry Cohn, 2026, needs more optimization.
21 609 0.260313787577 Henry Cohn, 2026, needs more optimization.
21 610 0.260493674181 Henry Cohn, 2026, needs more optimization.
21 611 0.260597897607 Henry Cohn, 2026, needs more optimization.
21 612 0.260661884603 Henry Cohn, 2026, needs more optimization.
21 613 0.260783567072 Henry Cohn, 2026, needs more optimization.
21 614 0.260874733062 Henry Cohn, 2026, needs more optimization.
21 615 0.260931924325 Henry Cohn, 2026, needs more optimization.
21 616 0.261024540505 Henry Cohn, 2026, needs more optimization.
21 617 0.261082036843 Henry Cohn, 2026, needs more optimization.
21 618 0.261158093755 Henry Cohn, 2026, needs more optimization.
21 619 0.261226647799 Henry Cohn, 2026, needs more optimization.
21 620 0.261266479209 Henry Cohn, 2026, needs more optimization.
21 621 0.261304895279 Henry Cohn, 2026, needs more optimization.
21 622 0.261344831401 Henry Cohn, 2026, needs more optimization.
21 623 0.261388961729 Henry Cohn, 2026, needs more optimization.
21 624 0.261423937952 Henry Cohn, 2026, needs more optimization.
21 625 0.261459557379 Henry Cohn, 2026, needs more optimization.
21 626 0.261499925389 Henry Cohn, 2026, needs more optimization.
21 627 0.261571989968 Henry Cohn, 2026, needs more optimization.
21 628 0.261627093651 Henry Cohn, 2026, needs more optimization.
21 629 0.261682608424 Henry Cohn, 2026, needs more optimization.
21 630 0.262074416773 Henry Cohn, 2026, needs more optimization.
21 631 0.262324768793 Henry Cohn, 2026, needs more optimization.
21 632 0.262367380024 Henry Cohn, 2026, needs more optimization.
21 633 0.262613943114 Henry Cohn, 2026, needs more optimization.
21 634 0.262684550281 Henry Cohn, 2026, needs more optimization.
21 635 0.262734884696 Henry Cohn, 2026, needs more optimization.
21 636 0.262885698298 Henry Cohn, 2026, needs more optimization.
21 637 0.263006179898 Henry Cohn, 2026, needs more optimization.
21 638 0.263137951299 Henry Cohn, 2026, needs more optimization.
21 639 0.263227154910 Henry Cohn, 2026, needs more optimization.
21 640 0.263327544852 Henry Cohn, 2026, needs more optimization.
21 641 0.263415266037 Henry Cohn, 2026, needs more optimization.
21 642 0.263576839617 Henry Cohn, 2026, needs more optimization.
21 643 0.263702461809 Henry Cohn, 2026, needs more optimization.
21 644 0.263824990552 Henry Cohn, 2026, needs more optimization.
21 645 0.263933496635 Henry Cohn, 2026, needs more optimization.
21 646 0.263971427241 Henry Cohn, 2026, needs more optimization.
21 647 0.264048012237 Henry Cohn, 2026, needs more optimization.
21 648 0.264123734385 Henry Cohn, 2026, needs more optimization.
21 649 0.264185346676 Henry Cohn, 2026, needs more optimization.
21 650 0.264291721257 Henry Cohn, 2026, needs more optimization.
21 651 0.264364705274 Henry Cohn, 2026, needs more optimization.
21 652 0.264436383019 Henry Cohn, 2026, needs more optimization.
21 653 0.264503958922 Henry Cohn, 2026, needs more optimization.
21 654 0.264557740182 Henry Cohn, 2026, needs more optimization.
21 655 0.264633936308 Henry Cohn, 2026, needs more optimization.
21 656 0.264732809471 Henry Cohn, 2026, needs more optimization.
21 657 0.264801546033 Henry Cohn, 2026, needs more optimization.
21 658 0.264893787799 Henry Cohn, 2026, needs more optimization.
21 659 0.264987723143 Henry Cohn, 2026, needs more optimization.
21 660 0.265122402164 Henry Cohn, 2026, needs more optimization.
21 661 0.265178182009 Henry Cohn, 2026, needs more optimization.
21 662 0.265230318932 Henry Cohn, 2026, needs more optimization.
21 663 0.265294808301 Henry Cohn, 2026, needs more optimization.
21 664 0.265373970898 Henry Cohn, 2026, needs more optimization.
21 665 0.265446033441 Henry Cohn, 2026, needs more optimization.
21 666 0.265519619804 Henry Cohn, 2026, needs more optimization.
21 667 0.265557373185 Henry Cohn, 2026, needs more optimization.
21 668 0.265602712145 Henry Cohn, 2026, needs more optimization.
21 669 0.265630783643 Henry Cohn, 2026, needs more optimization.
21 670 0.265666523393 Henry Cohn, 2026, needs more optimization.
21 671 0.265729896749 Henry Cohn, 2026, needs more optimization.
21 672 0.265768260793 Henry Cohn, 2026, needs more optimization.
21 673 0.265851479598 Henry Cohn, 2026, needs more optimization.
21 674 0.265900185806 Henry Cohn, 2026, needs more optimization.
21 675 0.265958469599 Henry Cohn, 2026, needs more optimization.
21 676 0.266025711977 Henry Cohn, 2026, needs more optimization.
21 677 0.266078401887 Henry Cohn, 2026, needs more optimization.
21 678 0.266134804232 Henry Cohn, 2026, needs more optimization.
21 679 0.266165727230 Henry Cohn, 2026, needs more optimization.
21 680 0.266222534062 Henry Cohn, 2026, needs more optimization.
21 681 0.266278294748 Henry Cohn, 2026, needs more optimization.
21 682 0.266341766156 Henry Cohn, 2026, needs more optimization.
21 683 0.266503145348 Henry Cohn, 2026, needs more optimization.
21 684 0.266585285784 Henry Cohn, 2026, needs more optimization.
21 715 0.266666666667 C. Ma, T. Tao Z., P. Li, M. Liu, H. Chen, Z. Mao, Y. Cheng, Y. Qi, and Y. Yang, Finding kissing numbers with game-theoretic reinforcement learning, preprint, 2025, arXiv:2511.13391.
15⁢x−4
21 728 0.267171850610 Henry Cohn, 2026.
21 729 0.267261241913 Henry Cohn, 2026.
14⁢x2−1
21 730 0.277219648097 Henry Cohn, 2026, needs more optimization.
21 731 0.282339589507 Henry Cohn, 2026, needs more optimization.
21 732 0.284690498088 Henry Cohn, 2026, needs more optimization.
21 850 0.285714285715 Henry Cohn, 2026.
7⁢x−2
21 851 0.290297025840 Henry Cohn, 2026, needs more optimization.
21 852 0.291094893025 Henry Cohn, 2026, needs more optimization.
21 853 0.291722388514 Henry Cohn, 2026, needs more optimization.
21 854 0.292104559801 Henry Cohn, 2026, needs more optimization.
21 855 0.292429821196 Henry Cohn, 2026, needs more optimization.
21 856 0.292762588812 Henry Cohn, 2026, needs more optimization.
21 857 0.293056607458 Henry Cohn, 2026, needs more optimization.
21 858 0.293321667431 Henry Cohn, 2026, needs more optimization.
21 859 0.293634136878 Henry Cohn, 2026, needs more optimization.
21 974 0.294117647059 C. Ma, T. Tao Z., P. Li, M. Liu, H. Chen, Z. Mao, Y. Cheng, Y. Qi, and Y. Yang, Finding kissing numbers with game-theoretic reinforcement learning, preprint, 2025, arXiv:2511.13391.
17⁢x−5
21 975 0.299221123909 Henry Cohn, 2026, needs more optimization.
21 1024 0.3 C. Ma, T. Tao Z., P. Li, M. Liu, H. Chen, Z. Mao, Y. Cheng, Y. Qi, and Y. Yang, Finding kissing numbers with game-theoretic reinforcement learning, preprint, 2025, arXiv:2511.13391.
10⁢x−3
22 45 0.035618974680 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
8800⁢x3−484⁢x2−22⁢x+1
22 46 0.041709010468 Henry Cohn, 2026.
22 47 0.046962270332 Henry Cohn, 2026, continuous family of codes without rattlers.
736⁢x3+236⁢x2−34⁢x+1
22 48 0.047524915294 Henry Cohn, 2025, continuous family of codes without rattlers.
64⁢x2+18⁢x−1
22 49 0.047603596723 Henry Cohn, 2026, continuous family of codes without rattlers.
3021824⁢x6+71680⁢x5−194624⁢x4+31816⁢x3−2252⁢x2+76⁢x−1
22 50 0.047616424529 Henry Cohn, 2026, needs more optimization.
22 51 0.047618599670 Henry Cohn, 2026, needs more optimization.
22 52 0.047619045985 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
22 53 0.057403269990 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
22 54 0.060108520250 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
22 55 0.062592707017 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
22 56 0.062633806388 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
22 57 0.066559109857 Henry Cohn, 2026.
22 58 0.066624028492 Henry Cohn, 2026, needs more optimization.
22 59 0.066648950816 Henry Cohn, 2026, needs more optimization.
22 60 0.066659378423 Henry Cohn, 2026, needs more optimization.
22 61 0.069638781739 Henry Cohn, 2026.
22 62 0.071702992424 Henry Cohn, 2026.
140⁢x3+45⁢x2+10⁢x−1
22 63 0.076900461922 Henry Cohn, 2026, needs more optimization.
22 64 0.076911226127 Henry Cohn, 2026, needs more optimization.
22 65 0.076923310773 Henry Cohn, 2026, needs more optimization.
22 66 0.078232998313 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988, continuous family of codes without rattlers.
10⁢x2+12⁢x−1
22 67 0.079295575063 Henry Cohn, 2026, needs more optimization.
22 68 0.080927905651 Henry Cohn, 2026.
22 69 0.082211649807 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
22 70 0.082987101128 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
22 71 0.083331298889 Henry Cohn, 2026, needs more optimization.
22 72 0.083332905177 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
22 73 0.083333206111 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
22 74 0.083333297185 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
22 79 0.083333333334 Code with 77 points in 21 dimensions, together with two antipodal points orthogonal to it; T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
12⁢x−1
22 80 0.086876541301 Henry Cohn, 2026.
550⁢x3−410⁢x2+66⁢x−3
22 100* 0.090909090910 P. Delsarte, J. M. Goethals, and J. J. Seidel, Spherical codes and designs, Geometriae Dedicata 6 (1977), 363–388, doi:10.1007/bf03187604; V. I. Levenšteĭn, On bounds for packings in n-dimensional Euclidean space (Russian), Dokl. Akad. Nauk SSSR 245 (1979), 1299–1303, English translation in Soviet Math. Dokl. 20 (1979), 417–421.
11⁢x−1
22 101 0.109433688331 Henry Cohn, 2026.
6912⁢x4−560⁢x3−272⁢x2+3
22 102 0.111104168854 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
22 103 0.111108853968 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
22 104 0.111109248339 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
22 105 0.111109826504 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
22 106 0.111110854765 Henry Cohn, 2026, needs more optimization.
22 114 0.111111111112 Code with 112 points in 21 dimensions, together with two antipodal points orthogonal to it; T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
9⁢x−1
22 115 0.112789665003 Henry Cohn, 2026.
68⁢x2−52⁢x+5
22 116 0.117359909647 Henry Cohn, 2026.
30⁢x2+5⁢x−1
22 117 0.122747047398 Henry Cohn, 2026, needs more optimization.
22 118 0.126131983623 Kevin Li, 2026.
47⁢x2+2⁢x−1
22 119 0.126740173094 Henry Cohn, 2026, needs more optimization.
22 120 0.131231549706 Henry Cohn, 2026.
Minimal polynomial listed in plain text data
22 127 0.131782945737 Henry Cohn, 2026.
129⁢x−17
22 136 0.135135135136 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
37⁢x−5
22 141 0.135135135136 Henry Cohn, 2026.
37⁢x−5
22 142 0.135516832878 Henry Cohn, 2026, needs more optimization.
22 143 0.137877531584 Azmi C. Özgen, 2026.
22 144 0.139612236038 Azmi C. Özgen, 2026.
22 166 0.142857142858 Henry Cohn, 2026.
7⁢x−1
22 167 0.144948974279 Henry Cohn, 2026.
20⁢x2+4⁢x−1
22 169 0.149071198500 Henry Cohn, 2026.
45⁢x2−1
22 170 0.153808582906 Henry Cohn, 2026.
3193200⁢x4−2981880⁢x3+586608⁢x2+63888⁢x−14641
22 171 0.156572050095 Henry Cohn, 2026.
22 172 0.158260507796 Azmi C. Özgen, 2026.
22 173 0.159107132818 Henry Cohn, 2026, needs more optimization.
22 174 0.161494541123 Henry Cohn, 2026, needs more optimization.
22 202 0.161904761905 Henry Cohn, 2026.
105⁢x−17
22 203 0.165054997793 Arhan Canli, 2026.
22 275* 0.166666666667 P. Delsarte, J. M. Goethals, and J. J. Seidel, Spherical codes and designs, Geometriae Dedicata 6 (1977), 363–388, doi:10.1007/bf03187604; V. I. Levenšteĭn, On bounds for packings in n-dimensional Euclidean space (Russian), Dokl. Akad. Nauk SSSR 245 (1979), 1299–1303, English translation in Soviet Math. Dokl. 20 (1979), 417–421.
6⁢x−1
22 276 0.178506323194 Henry Cohn, 2026.
22 277 0.185913606056 Henry Cohn, 2026, needs more optimization.
22 278 0.189278821912 Azmi C. Özgen, 2026.
22 279 0.191548734977 Azmi C. Özgen, 2026.
22 280 0.193231566176 Azmi C. Özgen, 2026.
22 281 0.194502382039 Azmi C. Özgen, 2026.
22 282 0.195683008514 Azmi C. Özgen, 2026.
22 283 0.196310423268 Azmi C. Özgen, 2026.
22 285 0.196327532186 Henry Cohn, 2026, needs more optimization.
22 286 0.196362023435 Henry Cohn, 2026, needs more optimization.
22 287 0.199227355721 Azmi C. Özgen, 2026.
22 352 0.2 C. Ma, T. Tao Z., P. Li, M. Liu, H. Chen, Z. Mao, Y. Cheng, Y. Qi, and Y. Yang, Finding kissing numbers with game-theoretic reinforcement learning, preprint, 2025, arXiv:2511.13391.
5⁢x−1
22 353 0.201777989817 Henry Cohn, 2026.
1308736⁢x4−332640⁢x3−147312⁢x2+6561
22 354 0.202832443486 Vadim Borisov, 2026, https://numaro.tech/.
22 355 0.203727072271 Henry Cohn, 2026, needs more optimization.
22 356 0.204034193404 Henry Cohn, 2026, needs more optimization.
22 357 0.204058215698 Henry Cohn, 2026, needs more optimization.
22 358 0.204059171273 Henry Cohn, 2026, needs more optimization.
22 359 0.204488589692 Henry Cohn, 2026, needs more optimization.
22 374 0.204624019941 Henry Cohn, 2026.
911296⁢x4−2815904⁢x3−1346592⁢x2+246064⁢x+28561
22 375 0.205717063314 Henry Cohn, 2026, needs more optimization.
22 376 0.206395574291 Henry Cohn, 2026, needs more optimization.
22 377 0.206695223554 Henry Cohn, 2026, needs more optimization.
22 378 0.206882235842 Azmi C. Özgen, 2026.
22 379 0.207056804630 Azmi C. Özgen, 2026.
22 380 0.207117539031 Azmi C. Özgen, 2026.
22 381 0.207163540721 Azmi C. Özgen, 2026.
22 382 0.207169388398 Azmi C. Özgen, 2026.
22 383 0.207170048263 Azmi C. Özgen, 2026.
22 384 0.207170429419 Azmi C. Özgen, 2026.
22 385 0.207171089278 Henry Cohn, 2026, needs more optimization.
22 386 0.207171215098 Henry Cohn, 2026, needs more optimization.
22 387 0.207171374412 Henry Cohn, 2026, needs more optimization.
22 388 0.207171464370 Henry Cohn, 2026, needs more optimization.
22 389 0.207172056685 Henry Cohn, 2026, needs more optimization.
22 390 0.207173419651 Henry Cohn, 2026, needs more optimization.
22 391 0.208463130111 Henry Cohn, 2026, needs more optimization.
22 392 0.208815120958 Henry Cohn, 2026, needs more optimization.
22 393 0.209018835404 Henry Cohn, 2026, needs more optimization.
22 394 0.209049427035 Azmi C. Özgen, 2026.
22 395 0.209290942770 Azmi C. Özgen, 2026.
22 396 0.209386050437 Azmi C. Özgen, 2026.
22 397 0.209559634595 Azmi C. Özgen, 2026.
22 398 0.209586112568 Azmi C. Özgen, 2026.
22 399 0.209590198998 Henry Cohn, 2026, needs more optimization.
22 400 0.209591756073 Azmi C. Özgen, 2026.
22 401 0.209592750652 Azmi C. Özgen, 2026.
22 402 0.209593376529 Azmi C. Özgen, 2026.
22 403 0.209595513037 Azmi C. Özgen, 2026.
22 404 0.209666940791 Azmi C. Özgen, 2026.
22 405 0.209705056029 Azmi C. Özgen, 2026.
22 415 0.209711433874 Henry Cohn, 2026, needs more optimization.
22 416 0.209814363187 Azmi C. Özgen, 2026.
22 430 0.209817069797 Henry Cohn, 2026.
25856⁢x4+20288⁢x3+1056⁢x2−1120⁢x−49
22 431 0.210993089892 Henry Cohn, 2026, needs more optimization.
22 432 0.211661635419 Henry Cohn, 2026, needs more optimization.
22 433 0.212032718914 Henry Cohn, 2026, needs more optimization.
22 436 0.212148697334 Henry Cohn, 2026, needs more optimization.
22 437 0.212406676955 Henry Cohn, 2026, needs more optimization.
22 438 0.212505211597 Henry Cohn, 2026, needs more optimization.
22 442 0.212505214492 Henry Cohn, 2026, needs more optimization.
22 451 0.212653226480 Henry Cohn, 2026.
22 452 0.213200716356 Henry Cohn, 2026.
22⁢x2−1
22 487 0.225192823176 Henry Cohn, 2026.
Minimal polynomial listed in plain text data
22 488 0.227085433996 Henry Cohn, 2026, needs more optimization.
22 489 0.229551246103 Azmi C. Özgen, 2026.
22 505 0.229926564594 Henry Cohn, 2026, needs more optimization.
22 506 0.231137104549 Henry Cohn, 2026, needs more optimization.
22 529 0.233333333334 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
30⁢x−7
22 561 0.238095238096 Henry Cohn, 2026.
21⁢x−5
22 562 0.238151335257 Azmi C. Özgen, 2026.
22 563 0.239821018015 Azmi C. Özgen, 2026.
22 566 0.240569900871 Robert Dallara, 2026.
22 891* 0.25 P. Delsarte, J. M. Goethals, and J. J. Seidel, Spherical codes and designs, Geometriae Dedicata 6 (1977), 363–388, doi:10.1007/bf03187604; V. I. Levenšteĭn, On bounds for packings in n-dimensional Euclidean space (Russian), Dokl. Akad. Nauk SSSR 245 (1979), 1299–1303, English translation in Soviet Math. Dokl. 20 (1979), 417–421.
4⁢x−1
22 1024 0.272727272728 T. Ericson and V. Zinoviev, Spherical codes generated by binary partitions of symmetric pointsets, IEEE Trans. Inform. Theory 41 (1995), 107–129, doi:10.1109/18.370114.
11⁢x−3
23 47 0.034216857253 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
10143⁢x3−529⁢x2−23⁢x+1
23 48 0.040044232989 Henry Cohn, 2026, needs more optimization.
23 49 0.045954913455 Henry Cohn, 2026.
23 50 0.046749604258 Henry Cohn, 2025, continuous family of codes without rattlers.
713⁢x3+215⁢x2−33⁢x+1
23 51 0.047263378257 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
23 52 0.047439726151 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
23 53 0.047577267456 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
23 54 0.047607916868 Henry Cohn, 2026, needs more optimization.
23 55 0.054740716520 Henry Cohn, 2026, needs more optimization.
23 56 0.057275984127 Henry Cohn, 2025.
Minimal polynomial listed in plain text data
23 57 0.059898620221 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
23 58 0.061144993092 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
23 59 0.065898054218 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
23 60 0.066269337492 Henry Cohn, 2026, needs more optimization.
23 61 0.066447735648 Henry Cohn, 2026, needs more optimization.
23 62 0.066547823736 Henry Cohn, 2026, needs more optimization.
23 63 0.067249405088 Henry Cohn, 2026.
23 64 0.069716146261 Henry Cohn, 2026.
Minimal polynomial listed in plain text data
23 65 0.073130743225 Henry Cohn, 2026.
23 66 0.075359392649 Henry Cohn, 2026.
23 67 0.076776709587 Henry Cohn, 2026, needs more optimization.
23 68 0.076889070311 Henry Cohn, 2026, needs more optimization.
23 69 0.077601989740 Henry Cohn, 2026, needs more optimization.
23 70 0.077976083355 Henry Cohn, 2026, needs more optimization.
23 71 0.079522620309 Henry Cohn, 2026.
23 72 0.080064660878 Henry Cohn, 2026.
23 73 0.081987992075 Arhan Canli, 2026.
23 74 0.082971963238 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
23 75 0.083232614730 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
23 76 0.083308620751 Arhan Canli, 2026.
23 77 0.083321566030 Arhan Canli, 2026.
23 78 0.083328527171 Arhan Canli, 2026.
23 79 0.083331569914 Arhan Canli, 2026.
23 80 0.083332658564 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
23 81 0.083333004281 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
23 82 0.083354230263 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
23 83 0.087155118594 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
23 84 0.089247309196 Arhan Canli, 2026.
23 85 0.090372025454 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
23 86 0.090635971456 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
23 87 0.090845809648 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
23 88 0.090901792441 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
23 89 0.090909081908 Henry Cohn, 2026, needs more optimization.
23 90 0.090909090101 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
23 102 0.090909090910 Code with 100 points in 22 dimensions, together with two antipodal points orthogonal to it; T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
11⁢x−1
23 103 0.094789393423 Henry Cohn, 2026.
67⁢x2−38⁢x+3
23 104 0.102473100453 Henry Cohn, 2026.
76221641⁢x6−70238210⁢x5+26263911⁢x4−5120604⁢x3+551799⁢x2−31266⁢x+729
23 106 0.109392443214 Henry Cohn, 2026.
2175⁢x2+210⁢x−49
23 107 0.110892215957 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
23 108 0.110906204507 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
23 109 0.111023639992 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
23 110 0.111027924571 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
23 114 0.111035765340 Arhan Canli, 2026.
23 115 0.111111109626 Henry Cohn, 2026, needs more optimization.
23 116 0.111111109675 Henry Cohn, 2026, needs more optimization.
23 118 0.111111111112 Kevin Li, 2026.
9⁢x−1
23 119 0.115901764548 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
23 120 0.119778034261 Henry Cohn, 2026, needs more optimization.
23 121 0.124434234137 Henry Cohn, 2026, needs more optimization.
23 122 0.124520929201 Henry Cohn, 2026, needs more optimization.
23 123 0.128566662565 Azmi C. Özgen, 2026.
23 124 0.130805653308 Azmi C. Özgen, 2026.
23 130 0.131782945737 Henry Cohn, 2026.
129⁢x−17
23 131 0.132061757009 Henry Cohn, 2026, needs more optimization.
23 132 0.133404817376 Henry Cohn, 2026, needs more optimization.
23 133 0.134649704050 Azmi C. Özgen, 2026.
23 134 0.134991220981 Henry Cohn, 2026, needs more optimization.
23 135 0.135100853332 Henry Cohn, 2026, needs more optimization.
23 136 0.135127365192 Henry Cohn, 2026, needs more optimization.
23 137 0.135132968496 Henry Cohn, 2026, needs more optimization.
23 147 0.135135135136 Henry Cohn, 2026.
37⁢x−5
23 148 0.135243512040 Azmi C. Özgen, 2026.
23 149 0.136333149815 Henry Cohn, 2026, needs more optimization.
23 150 0.136482882097 Henry Cohn, 2026, needs more optimization.
23 151 0.137546592954 Azmi C. Özgen, 2026.
23 152 0.138673551832 Henry Cohn, 2026, needs more optimization.
23 170 0.142857142858 Kevin Li, 2026.
7⁢x−1
23 171 0.144959716614 Henry Cohn, 2026, needs more optimization.
23 172 0.145326894302 Azmi C. Özgen, 2026.
23 173 0.145383795921 Henry Cohn, 2026, needs more optimization.
23 174 0.146718974350 Henry Cohn, 2026, needs more optimization.
23 175 0.147421141363 Henry Cohn, 2026, needs more optimization.
23 176 0.152510930969 Azmi C. Özgen, 2026.
23 177 0.152897749824 Azmi C. Özgen, 2026.
23 178 0.153821163472 Azmi C. Özgen, 2026.
23 179 0.154398963642 Azmi C. Özgen, 2026.
23 180 0.157012296229 Azmi C. Özgen, 2026.
23 181 0.158067978366 Azmi C. Özgen, 2026.
23 182 0.159230250521 Azmi C. Özgen, 2026.
23 183 0.160596184834 Azmi C. Özgen, 2026.
23 184 0.161098612788 Henry Cohn, 2026, needs more optimization.
23 208 0.161904761905 Kevin Li, 2026.
105⁢x−17
23 209 0.164060447256 Henry Cohn, 2026, needs more optimization.
23 210 0.164892821858 Azmi C. Özgen, 2026.
23 211 0.165233821641 Azmi C. Özgen, 2026.
23 212 0.165935997236 Arhan Canli, 2026.
23 213 0.166449917620 Arhan Canli, 2026.
23 214 0.166576497546 Arhan Canli, 2026.
23 215 0.166641300572 Henry Cohn, 2026, needs more optimization.
23 278 0.166666666667 Henry Cohn, 2026.
6⁢x−1
23 279 0.168164328621 Henry Cohn, 2026, needs more optimization.
23 281 0.169520847199 Kevin Li, 2026.
23⁢x2+2⁢x−1
23 282 0.176232422077 Azmi C. Özgen, 2026.
23 283 0.181074949523 Azmi C. Özgen, 2026.
23 284 0.184226731358 Azmi C. Özgen, 2026.
23 285 0.186028074491 Henry Cohn, 2026, needs more optimization.
23 286 0.187579576008 Azmi C. Özgen, 2026.
23 287 0.188048088328 Azmi C. Özgen, 2026.
23 288 0.188279870113 Azmi C. Özgen, 2026.
23 289 0.189126832427 Azmi C. Özgen, 2026.
23 290 0.189336801112 Azmi C. Özgen, 2026.
23 292 0.189437876687 Henry Cohn, 2026.
171⁢x2−6⁢x−5
23 293 0.189616577064 Azmi C. Özgen, 2026.
23 294 0.189647523406 Azmi C. Özgen, 2026.
23 295 0.189655256607 Azmi C. Özgen, 2026.
23 296 0.189655986322 Henry Cohn, 2026, needs more optimization.
23 297 0.189656099022 Henry Cohn, 2026, needs more optimization.
23 298 0.189656099977 Henry Cohn, 2026, needs more optimization.
23 299 0.189656100047 Henry Cohn, 2026, needs more optimization.
23 300 0.189656159143 Azmi C. Özgen, 2026.
23 301 0.190658492405 Henry Cohn, 2026, needs more optimization.
23 302 0.193041714029 Azmi C. Özgen, 2026.
23 303 0.194173415852 Azmi C. Özgen, 2026.
23 304 0.195081459092 Azmi C. Özgen, 2026.
23 305 0.195744314538 Azmi C. Özgen, 2026.
23 306 0.196406854945 Azmi C. Özgen, 2026.
23 307 0.196828785388 Azmi C. Özgen, 2026.
23 308 0.197470532558 Azmi C. Özgen, 2026.
23 309 0.197842294989 Azmi C. Özgen, 2026.
23 310 0.198313822167 Azmi C. Özgen, 2026.
23 311 0.198638594186 Azmi C. Özgen, 2026.
23 314 0.198693992063 Robert Dallara, 2026.
23 552* 0.2 P. Delsarte, J. M. Goethals, and J. J. Seidel, Spherical codes and designs, Geometriae Dedicata 6 (1977), 363–388, doi:10.1007/bf03187604; V. I. Levenšteĭn, On bounds for packings in n-dimensional Euclidean space (Russian), Dokl. Akad. Nauk SSSR 245 (1979), 1299–1303, English translation in Soviet Math. Dokl. 20 (1979), 417–421.
5⁢x−1
23 553 0.232851959963 Henry Cohn, 2026.
11025⁢x4−7040⁢x3−3680⁢x2+256
23 554 0.235338470310 Henry Cohn, 2026, needs more optimization.
23 573 0.238095238096 Henry Cohn, 2026.
21⁢x−5
23 574 0.239674203059 Azmi C. Özgen, 2026.
23 575 0.240867926950 Azmi C. Özgen, 2026.
23 579 0.240947744235 Henry Cohn, 2026, needs more optimization.
23 580 0.242528916412 Azmi C. Özgen, 2026.
23 583 0.242749034434 Henry Cohn, 2026, needs more optimization.
23 584 0.244158115373 Azmi C. Özgen, 2026.
23 585 0.244801747846 Azmi C. Özgen, 2026.
23 586 0.245367112621 Azmi C. Özgen, 2026.
23 587 0.245530896490 Azmi C. Özgen, 2026.
23 588 0.245902335053 Azmi C. Özgen, 2026.
23 589 0.246052567059 Azmi C. Özgen, 2026.
23 590 0.246102625533 Azmi C. Özgen, 2026.
23 591 0.246392626760 Azmi C. Özgen, 2026.
23 592 0.246416647593 Azmi C. Özgen, 2026.
23 593 0.246950051620 Azmi C. Özgen, 2026.
23 594 0.247144384832 Azmi C. Özgen, 2026.
23 595 0.247214788346 Azmi C. Özgen, 2026.
23 596 0.247437478574 Azmi C. Özgen, 2026.
23 598 0.247612985642 Henry Cohn, 2026, needs more optimization.
23 599 0.248658464878 Azmi C. Özgen, 2026.
23 600 0.248875322703 Azmi C. Özgen, 2026.
23 601 0.249056658320 Azmi C. Özgen, 2026.
23 602 0.249258075156 Azmi C. Özgen, 2026.
23 603 0.249445000885 Azmi C. Özgen, 2026.
23 604 0.249592400286 Azmi C. Özgen, 2026.
23 605 0.249658995442 Azmi C. Özgen, 2026.
23 894 0.25 Henry Cohn, 2026.
4⁢x−1
23 897 0.25 Kevin Li, 2026.
4⁢x−1
23 898 0.251976315340 Henry Cohn, 2026.
63⁢x2−4
23 899 0.251976315340 Azmi C. Özgen, 2026.
63⁢x2−4
23 900 0.252103546588 Azmi C. Özgen, 2026.
23 917 0.256477368938 Kevin Li, 2026.
23⁢x2−2⁢x−1
23 918 0.262975083042 Azmi C. Özgen, 2026.
23 919 0.264568404137 Azmi C. Özgen, 2026.
23 920 0.266020556676 Azmi C. Özgen, 2026.
23 921 0.267565602921 Henry Cohn, 2026, needs more optimization.
23 949 0.269672331459 Kevin Li, 2026.
36⁢x2−6⁢x−1
23 1024 0.272727272728 Code with 1024 points in 22 dimensions.
11⁢x−3
23 4600* 0.333333333334 P. Delsarte, J. M. Goethals, and J. J. Seidel, Spherical codes and designs, Geometriae Dedicata 6 (1977), 363–388, doi:10.1007/bf03187604; V. I. Levenšteĭn, On bounds for packings in n-dimensional Euclidean space (Russian), Dokl. Akad. Nauk SSSR 245 (1979), 1299–1303, English translation in Soviet Math. Dokl. 20 (1979), 417–421.
3⁢x−1
24 49 0.032924519945 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
11616⁢x3−576⁢x2−24⁢x+1
24 50 0.038461538462 T. Ericson and V. Zinoviev, Spherical codes generated by binary partitions of symmetric pointsets, IEEE Trans. Inform. Theory 41 (1995), 107–129, doi:10.1109/18.370114.
26⁢x−1
24 52 0.045454545455 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
22⁢x−1
24 53 0.046514918044 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
Minimal polynomial listed in plain text data
24 54 0.046847786762 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
24 55 0.047164753839 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
24 56 0.047426030409 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
24 57 0.052950643062 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
24 58 0.054352485457 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
24 59 0.057903810057 Henry Cohn, 2026.
24 60 0.059948549845 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
24 61 0.064086783842 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
24 62 0.065007675926 Henry Cohn, 2026, needs more optimization.
24 63 0.065487436418 Henry Cohn, 2026, needs more optimization.
24 64 0.065888754141 Robert Dallara, 2026.
24 65 0.066579290389 Henry Cohn, 2026, needs more optimization.
24 66 0.068177559057 Henry Cohn, 2026, needs more optimization.
24 67 0.070762396841 Henry Cohn, 2026.
24 68 0.072116568734 Henry Cohn, 2026.
24 69 0.073247042433 Henry Cohn, 2026.
24 70 0.076518930344 Henry Cohn, 2026, needs more optimization.
24 71 0.076913546727 Henry Cohn, 2026, needs more optimization.
24 72 0.077184615255 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
24 73 0.077724158029 Henry Cohn, 2026, needs more optimization.
24 74 0.077908661683 Henry Cohn, 2026.
24 75 0.078506895605 Henry Cohn, 2026.
24 76 0.078850061998 Henry Cohn, 2026.
Minimal polynomial listed in plain text data
24 77 0.079856913718 Henry Cohn, 2026, needs more optimization.
24 78 0.081484170718 Azmi C. Özgen, 2026.
24 79 0.083101544018 Henry Cohn, 2026, needs more optimization.
24 80 0.083184602031 Henry Cohn, 2026, needs more optimization.
24 81 0.083186497865 Henry Cohn, 2026, needs more optimization.
24 82 0.083237917964 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
24 83 0.083238079747 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
24 84 0.083310116889 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
24 85 0.083323327763 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
24 86 0.086097832697 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
24 87 0.088106043794 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
24 88 0.089206516628 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
24 89 0.090039710856 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
24 90 0.090273268230 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
24 91 0.090577857062 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
24 92 0.090765987314 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
24 93 0.090813719840 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
24 94 0.090883656527 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
24 95 0.090891198506 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
24 96 0.090899639946 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
24 97 0.090908237174 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
24 98 0.090908329446 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
24 99 0.090908571706 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
24 100 0.090908831235 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
24 101 0.090909045701 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
24 102 0.090909063963 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
24 103 0.090909064328 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
24 104 0.090909084673 Henry Cohn, 2026, needs more optimization.
24 105 0.091455993710 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
24 106 0.095232453047 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
24 107 0.100951682978 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
24 108 0.105528967523 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
24 109 0.110473374894 Arhan Canli, 2026.
24 110 0.110474298890 Henry Cohn, 2026, needs more optimization.
24 111 0.110634495874 Henry Cohn, 2026, needs more optimization.
24 112 0.110644096623 Arhan Canli, 2026.
24 113 0.110669249772 Henry Cohn, 2026, needs more optimization.
24 114 0.110669749278 Henry Cohn, 2026, needs more optimization.
24 115 0.110788936306 Henry Cohn, 2026, needs more optimization.
24 116 0.110956127463 Henry Cohn, 2026, needs more optimization.
24 118 0.111099565428 Henry Cohn, 2025, needs more optimization.
24 121 0.111111111112 Henry Cohn, 2026.
9⁢x−1
24 122 0.112090946981 Henry Cohn, 2026, needs more optimization.
24 123 0.116163121765 Henry Cohn, 2026, needs more optimization.
24 124 0.117891409262 Henry Cohn, 2026, needs more optimization.
24 125 0.122807017544 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
57⁢x−7
24 126 0.125601748917 Henry Cohn, 2026, needs more optimization.
24 127 0.127034815172 Henry Cohn, 2026, needs more optimization.
24 128 0.131474374523 Azmi C. Özgen, 2026.
24 129 0.131575930604 Henry Cohn, 2026, needs more optimization.
24 130 0.131591568568 Azmi C. Özgen, 2026.
24 131 0.131626591799 Pavlos Moros, 2026.
24 132 0.131773832469 Pavlos Moros, 2026.
24 133 0.131777975893 Pavlos Moros, 2026.
24 134 0.131779461228 Azmi C. Özgen, 2026.
24 135 0.131782782176 Henry Cohn, 2026, needs more optimization.
24 136 0.132188937481 Pavlos Moros, 2026.
24 137 0.132479631459 Pavlos Moros, 2026.
24 138 0.133244244230 Pavlos Moros, 2026.
24 139 0.134127914217 Azmi C. Özgen, 2026.
24 140 0.134373136526 Azmi C. Özgen, 2026.
24 141 0.134514247293 Pavlos Moros, 2026.
24 142 0.134520264311 Pavlos Moros, 2026.
24 143 0.134808836694 Azmi C. Özgen, 2026.
24 144 0.134945812597 Azmi C. Özgen, 2026.
24 145 0.134985702292 Pavlos Moros, 2026.
24 146 0.135079616284 Pavlos Moros, 2026.
24 147 0.135098897575 Pavlos Moros, 2026.
24 148 0.135109133972 Pavlos Moros, 2026.
24 149 0.135124524544 Pavlos Moros, 2026.
24 150 0.135128975201 Pavlos Moros, 2026.
24 151 0.135131247865 Pavlos Moros, 2026.
24 152 0.135135135136 Henry Cohn, 2026.
37⁢x−5
24 154 0.135854426726 Henry Cohn, 2026, needs more optimization.
24 155 0.136174662682 Henry Cohn, 2026, needs more optimization.
24 156 0.137040776902 Azmi C. Özgen, 2026.
24 157 0.140964714895 Azmi C. Özgen, 2026.
24 158 0.142856457721 Henry Cohn, 2026, needs more optimization.
24 160 0.142856599622 Henry Cohn, 2026, needs more optimization.
24 163 0.142856779003 Henry Cohn, 2026, needs more optimization.
24 164 0.142856864443 Henry Cohn, 2026, needs more optimization.
24 165 0.142856874626 Henry Cohn, 2026, needs more optimization.
24 166 0.142856962487 Henry Cohn, 2026, needs more optimization.
24 167 0.142856964987 Henry Cohn, 2026, needs more optimization.
24 168 0.142857007002 Henry Cohn, 2026, needs more optimization.
24 169 0.142857059233 Henry Cohn, 2026, needs more optimization.
24 170 0.142857082111 Henry Cohn, 2026, needs more optimization.
24 171 0.142857105383 Henry Cohn, 2026, needs more optimization.
24 172 0.142857120283 Henry Cohn, 2026, needs more optimization.
24 174 0.142857142858 Kevin Li, 2026.
7⁢x−1
24 175 0.143375010075 Robert Dallara, 2026.
24 176 0.145422721188 Pavlos Moros, 2026.
24 177 0.145780493011 Azmi C. Özgen, 2026.
24 178 0.145845763856 Azmi C. Özgen, 2026.
24 179 0.146016113324 Henry Cohn, 2026, needs more optimization.
24 180 0.146018032680 Henry Cohn, 2026, needs more optimization.
24 181 0.146018032926 Henry Cohn, 2026, needs more optimization.
24 183 0.148037777097 Henry Cohn, 2026, needs more optimization.
24 184 0.148170959627 Henry Cohn, 2026, needs more optimization.
24 186 0.148688022031 Azmi C. Özgen, 2026.
24 187 0.152027450678 Azmi C. Özgen, 2026.
24 188 0.152027517150 Azmi C. Özgen, 2026.
24 189 0.152169621132 Henry Cohn, 2026, needs more optimization.
24 190 0.153283046503 Azmi C. Özgen, 2026.
24 191 0.153609977343 Henry Cohn, 2026, needs more optimization.
24 192 0.154782803216 Azmi C. Özgen, 2026.
24 193 0.155183085949 Henry Cohn, 2026, needs more optimization.
24 195 0.155200433444 Pavlos Moros, 2026.
24 196 0.156088187082 Azmi C. Özgen, 2026.
24 197 0.157137677418 Pavlos Moros, 2026.
24 198 0.158545127253 Azmi C. Özgen, 2026.
24 199 0.159543753317 Pavlos Moros, 2026.
24 200 0.160509841580 Pavlos Moros, 2026.
24 201 0.161357393007 Azmi C. Özgen, 2026.
24 202 0.161703663419 Azmi C. Özgen, 2026.
24 214 0.161904761905 Kevin Li, 2026.
105⁢x−17
24 215 0.162112106244 Azmi C. Özgen, 2026.
24 216 0.163066157618 Pavlos Moros, 2026.
24 217 0.163159973503 Azmi C. Özgen, 2026.
24 218 0.164131693540 Pavlos Moros, 2026.
24 219 0.164594165363 Azmi C. Özgen, 2026.
24 220 0.164973862753 Pavlos Moros, 2026.
24 221 0.165294132596 Pavlos Moros, 2026.
24 222 0.165827176141 Azmi C. Özgen, 2026.
24 223 0.166128387976 Azmi C. Özgen, 2026.
24 224 0.166396001599 Pavlos Moros, 2026.
24 283 0.166666666667 Henry Cohn, 2026.
6⁢x−1
24 284 0.166790646363 Azmi C. Özgen, 2026.
24 285 0.169965256449 Azmi C. Özgen, 2026.
24 286 0.171282397114 Azmi C. Özgen, 2026.
24 287 0.174936225018 Azmi C. Özgen, 2026.
24 288 0.177013608683 Henry Cohn, 2026, needs more optimization.
24 289 0.179218164014 Azmi C. Özgen, 2026.
24 290 0.181572811129 Azmi C. Özgen, 2026.
24 297 0.181818181819 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
11⁢x−2
24 314 0.181818181819 Henry Cohn, 2026.
11⁢x−2
24 315 0.186360420192 Pavlos Moros, 2026.
24 316 0.188619149989 Pavlos Moros, 2026.
24 317 0.190672757493 Pavlos Moros, 2026.
24 318 0.191959319848 Azmi C. Özgen, 2026.
24 330 0.193548387097 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
31⁢x−6
24 555 0.2 Valentin Khrulkov, 2026, using the program of A. Kravatsky, V. Khrulkov, and I. Oseledets, ImprovEvolve: basin-hopping meets LLM-guided evolutionary search, ICML 2026 AI4Math Workshop Poster, https://openreview.net/forum?id=nE1q0gRDNr, arXiv:2602.10233.
5⁢x−1
24 556 0.200001288707 Henry Cohn, 2026, needs more optimization.
24 557 0.206704233680 Azmi C. Özgen, 2026.
24 559 0.210852996458 Kevin Li, 2026.
71⁢x2+4⁢x−4
24 561 0.215410109214 Kevin Li, 2026.
1056⁢x2−49
24 562 0.222581895251 Azmi C. Özgen, 2026.
24 563 0.224090062898 Azmi C. Özgen, 2026.
24 564 0.225307077162 Azmi C. Özgen, 2026.
24 565 0.226543269887 Azmi C. Özgen, 2026.
24 566 0.228186672416 Azmi C. Özgen, 2026.
24 567 0.229098076487 Azmi C. Özgen, 2026.
24 568 0.230483507269 Azmi C. Özgen, 2026.
24 569 0.231609114952 Azmi C. Özgen, 2026.
24 570 0.231648486738 Azmi C. Özgen, 2026.
24 571 0.232151214355 Azmi C. Özgen, 2026.
24 572 0.232346064751 Azmi C. Özgen, 2026.
24 573 0.232782520995 Azmi C. Özgen, 2026.
24 574 0.233292301752 Azmi C. Özgen, 2026.
24 581 0.233711730709 Vadim Borisov, 2026, https://numaro.tech/.
160⁢x2−16⁢x−5
24 627 0.233711730709 Kevin Li, 2026.
160⁢x2−16⁢x−5
24 628 0.241934794934 Azmi C. Özgen, 2026.
24 629 0.243313805799 Azmi C. Özgen, 2026.
24 630 0.244270970205 Azmi C. Özgen, 2026.
24 631 0.245060422244 Azmi C. Özgen, 2026.
24 632 0.245722579319 Azmi C. Özgen, 2026.
24 633 0.246438326819 Azmi C. Özgen, 2026.
24 634 0.247469500704 Azmi C. Özgen, 2026.
24 635 0.248363113603 Pavlos Moros, 2026.
24 636 0.249274217537 Pavlos Moros, 2026.
24 903 0.25 Kevin Li, 2026.
4⁢x−1
24 904 0.25 Henry Cohn, 2026.
4⁢x−1
24 906 0.250032666429 Azmi C. Özgen, 2026.
24 907 0.250147751167 Azmi C. Özgen, 2026.
24 908 0.250150373587 Azmi C. Özgen, 2026.
24 909 0.250910959602 Azmi C. Özgen, 2026.
24 910 0.250917885509 Azmi C. Özgen, 2026.
24 911 0.254054080034 Azmi C. Özgen, 2026.
24 912 0.255028666897 Azmi C. Özgen, 2026.
24 913 0.255514745536 Azmi C. Özgen, 2026.
24 914 0.255926073210 Azmi C. Özgen, 2026.
24 915 0.256441860342 Azmi C. Özgen, 2026.
24 916 0.256459938336 Henry Cohn, 2026, needs more optimization.
24 917 0.256470494249 Henry Cohn, 2026, needs more optimization.
24 918 0.256473256912 Henry Cohn, 2026, needs more optimization.
24 925 0.256477368938 Henry Cohn, 2026.
23⁢x2−2⁢x−1
24 943 0.259843574332 Henry Cohn, 2026.
167⁢x2−28⁢x−4
24 952 0.262071551239 Azmi C. Özgen, 2026.
24 953 0.263902885390 Azmi C. Özgen, 2026.
24 954 0.264347646031 Azmi C. Özgen, 2026.
24 955 0.264799130194 Azmi C. Özgen, 2026.
24 956 0.265143233684 Azmi C. Özgen, 2026.
24 957 0.266381724558 Azmi C. Özgen, 2026.
24 958 0.266442659220 Azmi C. Özgen, 2026.
24 959 0.267751951776 Azmi C. Özgen, 2026.
24 960 0.269107389681 Azmi C. Özgen, 2026.
24 961 0.269107393178 Azmi C. Özgen, 2026.
24 962 0.269117097286 Azmi C. Özgen, 2026.
24 963 0.269117098141 Azmi C. Özgen, 2026.
24 964 0.269127646014 Azmi C. Özgen, 2026.
24 965 0.269397759877 Azmi C. Özgen, 2026.
24 966 0.269410114124 Azmi C. Özgen, 2026.
24 967 0.269411063426 Azmi C. Özgen, 2026.
24 1024 0.272727272728 Code with 1024 points in 22 dimensions.
11⁢x−3
24 196560* 0.5 J. Leech, Notes on sphere packings, Canadian J. Math. 19 (1967), 251–267, doi:10.4153/CJM-1967-017-0; V. I. Levenšteĭn, On bounds for packings in n-dimensional Euclidean space (Russian), Dokl. Akad. Nauk SSSR 245 (1979), 1299–1303, English translation in Soviet Math. Dokl. 20 (1979), 417–421; A. M. Odlyzko and N. J. A. Sloane, New bounds on the number of unit spheres that can touch a unit sphere in n dimensions, J. Combin. Theory Ser. A 26 (1979), 210–214, doi:10.1016/0097-3165(79)90074-8.
2⁢x−1
25 51 0.031729360276 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
13225⁢x3−625⁢x2−25⁢x+1
25 52 0.037067969154 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
25 55 0.04 Henry Cohn, 2026.
25⁢x−1
25 56 0.046191273933 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
79⁢x2+18⁢x−1
25 57 0.046461733282 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
25 58 0.046851360412 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
25 59 0.050704072647 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
25 64 0.051797462893 Pavlos Moros, 2026.
25 65 0.064022854191 Henry Cohn, 2026, needs more optimization.
25 66 0.065036446508 Henry Cohn, 2026, needs more optimization.
25 67 0.066205497164 Henry Cohn, 2026, needs more optimization.
25 68 0.066373634815 Henry Cohn, 2026, needs more optimization.
25 69 0.068627707329 Henry Cohn, 2026.
25 70 0.071055411990 Henry Cohn, 2026.
25 71 0.071657322249 Henry Cohn, 2026, needs more optimization.
25 72 0.073130529953 Robert Dallara, 2026.
25 73 0.076149158372 Azmi C. Özgen, 2026.
25 74 0.076464358202 Henry Cohn, 2026, needs more optimization.
25 75 0.076914972932 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
25 76 0.076915868124 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
25 77 0.077464853239 Azmi C. Özgen, 2026.
25 78 0.077915089938 Henry Cohn, 2026, needs more optimization.
25 79 0.078439938519 Arhan Canli, 2026.
25 80 0.078628000041 Azmi C. Özgen, 2026.
25 81 0.078755457453 Azmi C. Özgen, 2026.
25 82 0.079706101579 Arhan Canli, 2026.
25 83 0.082630494714 Henry Cohn, 2026, needs more optimization.
25 84 0.082779269040 Henry Cohn, 2026, needs more optimization.
25 85 0.082997587773 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
25 86 0.083068688870 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
25 87 0.083249586073 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
25 88 0.083267079002 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
25 89 0.084850884056 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
25 90 0.085255453742 Henry Cohn, 2026, needs more optimization.
25 91 0.086622600059 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
25 92 0.088535148068 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
25 93 0.089394011575 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
25 94 0.089885800650 Arhan Canli, 2026.
25 95 0.090206950611 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
25 96 0.090436733307 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
25 97 0.090613279716 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
25 98 0.090736690899 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
25 99 0.090776899944 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
25 100 0.090823896794 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
25 101 0.090828568778 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
25 102 0.090855790338 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
25 104 0.090876998927 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
25 105 0.090889352940 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
25 106 0.090893337254 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
25 107 0.090907480979 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
25 108 0.090909088928 Henry Cohn, 2026, needs more optimization.
25 109 0.095541678986 Arhan Canli, 2026.
25 110 0.099492679872 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
25 111 0.102579822133 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
25 112 0.104990242023 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
25 117 0.105319726475 Henry Cohn, 2026.
375⁢x2−30⁢x−1
25 118 0.107225148389 Henry Cohn, 2026, needs more optimization.
25 119 0.108423923134 Azmi C. Özgen, 2026.
25 120 0.108641455019 Henry Cohn, 2026, needs more optimization.
25 121 0.109261196489 Azmi C. Özgen, 2026.
25 122 0.109442179556 Azmi C. Özgen, 2026.
25 123 0.109783873689 Azmi C. Özgen, 2026.
25 124 0.110987310595 Henry Cohn, 2026, needs more optimization.
25 125 0.111106833730 Henry Cohn, 2026, needs more optimization.
25 126 0.111110416563 Henry Cohn, 2026, needs more optimization.
25 127 0.111126148440 Henry Cohn, 2026, needs more optimization.
25 128 0.111312321625 Henry Cohn, 2026, needs more optimization.
25 129 0.117067168443 Henry Cohn, 2026, needs more optimization.
25 130 0.119935307599 Azmi C. Özgen, 2026.
25 131 0.121758126659 Azmi C. Özgen, 2026.
25 132 0.123060726326 Azmi C. Özgen, 2026.
25 133 0.123990098045 Azmi C. Özgen, 2026.
25 134 0.126240478073 Henry Cohn, 2026, needs more optimization.
25 135 0.128178615285 Azmi C. Özgen, 2026.
25 136 0.129698608461 Azmi C. Özgen, 2026.
25 137 0.130956651372 Azmi C. Özgen, 2026.
25 138 0.131021467623 Azmi C. Özgen, 2026.
25 139 0.131039282224 Azmi C. Özgen, 2026.
25 140 0.131210781462 Azmi C. Özgen, 2026.
25 141 0.131432596370 Azmi C. Özgen, 2026.
25 142 0.131575501884 Henry Cohn, 2026, needs more optimization.
25 143 0.132709964271 Pavlos Moros, 2026.
25 156 0.133333333334 Henry Cohn, 2023. In Ericson and Zinoviev's notation, this code is the union of a code constructed by CW2 from C : (26,6,8,130) and -S25 by CW2.
15⁢x−2
25 157 0.135151744896 Azmi C. Özgen, 2026.
25 158 0.136654683626 Azmi C. Özgen, 2026.
25 159 0.138009735180 Pavlos Moros, 2026.
25 160 0.139439546155 Azmi C. Özgen, 2026.
25 161 0.141373993278 Azmi C. Özgen, 2026.
25 162 0.142795040822 Henry Cohn, 2026, needs more optimization.
25 163 0.142818002128 Henry Cohn, 2026, needs more optimization.
25 164 0.142821657404 Henry Cohn, 2026, needs more optimization.
25 165 0.142828471547 Henry Cohn, 2026, needs more optimization.
25 166 0.142830687324 Henry Cohn, 2026, needs more optimization.
25 167 0.142833715493 Henry Cohn, 2026, needs more optimization.
25 168 0.142840625243 Henry Cohn, 2026, needs more optimization.
25 169 0.142843249867 Henry Cohn, 2026, needs more optimization.
25 170 0.142844495856 Henry Cohn, 2026, needs more optimization.
25 171 0.142846020542 Henry Cohn, 2026, needs more optimization.
25 172 0.142847924714 Henry Cohn, 2026, needs more optimization.
25 174 0.142851802149 Henry Cohn, 2026, needs more optimization.
25 175 0.142852194587 Pavlos Moros, 2026.
25 176 0.142852926421 Henry Cohn, 2026, needs more optimization.
25 179 0.142857142858 Kevin Li, 2026.
7⁢x−1
25 180 0.142950175849 Azmi C. Özgen, 2026.
25 181 0.143545452580 Azmi C. Özgen, 2026.
25 182 0.144721672885 Azmi C. Özgen, 2026.
25 183 0.145421117953 Azmi C. Özgen, 2026.
25 184 0.145498546309 Azmi C. Özgen, 2026.
25 185 0.145952644774 Azmi C. Özgen, 2026.
25 186 0.145954849879 Azmi C. Özgen, 2026.
25 187 0.146196063918 Azmi C. Özgen, 2026.
25 188 0.146792069197 Arhan Canli, 2026.
25 194 0.147102976680 Henry Cohn, 2026.
87⁢x2−6⁢x−1
25 195 0.148455282677 Azmi C. Özgen, 2026.
25 204 0.151215950898 Azmi C. Özgen, 2026.
25 208 0.154168072141 Azmi C. Özgen, 2026.
25 209 0.154265105593 Azmi C. Özgen, 2026.
25 210 0.154558574527 Azmi C. Özgen, 2026.
25 211 0.155911577232 Azmi C. Özgen, 2026.
25 212 0.157260787450 Azmi C. Özgen, 2026.
25 213 0.158145438254 Azmi C. Özgen, 2026.
25 214 0.158448619855 Azmi C. Özgen, 2026.
25 215 0.158850234170 Azmi C. Özgen, 2026.
25 216 0.159795715551 Azmi C. Özgen, 2026.
25 217 0.159851864367 Azmi C. Özgen, 2026.
25 218 0.159991255375 Pavlos Moros, 2026.
25 219 0.160821927595 Azmi C. Özgen, 2026.
25 220 0.161317453232 Azmi C. Özgen, 2026.
25 221 0.161906952310 Pavlos Moros, 2026.
25 222 0.161908567642 Henry Cohn, 2026, needs more optimization.
25 223 0.162150229193 Azmi C. Özgen, 2026.
25 224 0.162612743074 Azmi C. Özgen, 2026.
25 225 0.162716187259 Azmi C. Özgen, 2026.
25 226 0.163498512303 Azmi C. Özgen, 2026.
25 227 0.164248583481 Azmi C. Özgen, 2026.
25 228 0.164648127585 Azmi C. Özgen, 2026.
25 229 0.165025506094 Azmi C. Özgen, 2026.
25 230 0.165316036614 Azmi C. Özgen, 2026.
25 231 0.165749366155 Azmi C. Özgen, 2026.
25 232 0.165876367431 Azmi C. Özgen, 2026.
25 233 0.165959607492 Azmi C. Özgen, 2026.
25 234 0.166114109584 Pavlos Moros, 2026.
25 235 0.166185383068 Azmi C. Özgen, 2026.
25 236 0.166260802447 Azmi C. Özgen, 2026.
25 237 0.166365216770 Arhan Canli, 2026.
25 238 0.166526779770 Azmi C. Özgen, 2026.
25 239 0.166565975519 Azmi C. Özgen, 2026.
25 240 0.166599925836 Azmi C. Özgen, 2026.
25 241 0.166601110467 Azmi C. Özgen, 2026.
25 242 0.166627160975 Azmi C. Özgen, 2026.
25 287 0.166666666667 Kevin Li, 2026.
6⁢x−1
25 290 0.166666666667 Henry Cohn, 2026.
6⁢x−1
25 291 0.167578879624 Azmi C. Özgen, 2026.
25 292 0.169428603610 Azmi C. Özgen, 2026.
25 293 0.169994440264 Azmi C. Özgen, 2026.
25 294 0.172043225160 Henry Cohn, 2026, needs more optimization.
25 295 0.173769252893 Azmi C. Özgen, 2026.
25 296 0.175848730218 Azmi C. Özgen, 2026.
25 297 0.177323644247 Azmi C. Özgen, 2026.
25 298 0.178904575051 Azmi C. Özgen, 2026.
25 299 0.180411748673 Azmi C. Özgen, 2026.
25 321 0.181818181819 Henry Cohn, 2026.
11⁢x−2
25 322 0.182385406934 Henry Cohn, 2026, needs more optimization.
25 323 0.184019597235 Pavlos Moros, 2026.
25 324 0.185379264631 Azmi C. Özgen, 2026.
25 325 0.186934437940 Azmi C. Özgen, 2026.
25 326 0.187733588475 Azmi C. Özgen, 2026.
25 327 0.189440714401 Azmi C. Özgen, 2026.
25 328 0.191111093791 Azmi C. Özgen, 2026.
25 329 0.192016457064 Azmi C. Özgen, 2026.
25 335 0.193548387097 Henry Cohn, 2026.
31⁢x−6
25 340 0.194120819402 Henry Cohn, 2026, needs more optimization.
25 341 0.196567228571 Henry Cohn, 2026, needs more optimization.
25 342 0.198063664565 Azmi C. Özgen, 2026.
25 343 0.199508841430 Azmi C. Özgen, 2026.
25 559 0.2 Kevin Li, 2026.
5⁢x−1
25 562 0.2 Henry Cohn, 2026.
5⁢x−1
25 563 0.200107970264 Azmi C. Özgen, 2026.
25 564 0.201323098524 Azmi C. Özgen, 2026.
25 565 0.203187114120 Azmi C. Özgen, 2026.
25 566 0.206757855395 Azmi C. Özgen, 2026.
25 567 0.209530161919 Azmi C. Özgen, 2026.
25 568 0.211645757075 Azmi C. Özgen, 2026.
25 569 0.214201486157 Azmi C. Özgen, 2026.
25 570 0.216221852797 Azmi C. Özgen, 2026.
25 571 0.217582517083 Azmi C. Özgen, 2026.
25 572 0.219159586577 Azmi C. Özgen, 2026.
25 573 0.221147027387 Azmi C. Özgen, 2026.
25 574 0.221934145700 Azmi C. Özgen, 2026.
25 575 0.223484747454 Azmi C. Özgen, 2026.
25 576 0.224109722850 Azmi C. Özgen, 2026.
25 577 0.225436425353 Azmi C. Özgen, 2026.
25 578 0.225901806382 Azmi C. Özgen, 2026.
25 579 0.226660892071 Azmi C. Özgen, 2026.
25 580 0.227928938154 Azmi C. Özgen, 2026.
25 581 0.228810525521 Azmi C. Özgen, 2026.
25 582 0.229313930295 Azmi C. Özgen, 2026.
25 583 0.230158334598 Azmi C. Özgen, 2026.
25 584 0.231385145238 Azmi C. Özgen, 2026.
25 585 0.231763010245 Azmi C. Özgen, 2026.
25 586 0.232604700070 Azmi C. Özgen, 2026.
25 587 0.233191940432 Henry Cohn, 2026, needs more optimization.
25 630 0.233711730709 Kevin Li, 2026.
160⁢x2−16⁢x−5
25 634 0.233711730709 Henry Cohn, 2026.
160⁢x2−16⁢x−5
25 635 0.233770912193 Azmi C. Özgen, 2026.
25 636 0.235016689625 Azmi C. Özgen, 2026.
25 637 0.235106777107 Azmi C. Özgen, 2026.
25 638 0.235951140580 Azmi C. Özgen, 2026.
25 639 0.237527275868 Azmi C. Özgen, 2026.
25 640 0.237897863456 Azmi C. Özgen, 2026.
25 641 0.238818446039 Azmi C. Özgen, 2026.
25 642 0.239252146683 Azmi C. Özgen, 2026.
25 643 0.240051893924 Azmi C. Özgen, 2026.
25 644 0.240324714163 Azmi C. Özgen, 2026.
25 645 0.240828157446 Azmi C. Özgen, 2026.
25 646 0.241929811687 Azmi C. Özgen, 2026.
25 647 0.242175986840 Azmi C. Özgen, 2026.
25 648 0.242434670971 Azmi C. Özgen, 2026.
25 649 0.242468617438 Azmi C. Özgen, 2026.
25 650 0.242872702057 Azmi C. Özgen, 2026.
25 651 0.245484258816 Azmi C. Özgen, 2026.
25 652 0.246044183839 Azmi C. Özgen, 2026.
25 653 0.247395608595 Azmi C. Özgen, 2026.
25 654 0.248988580136 Azmi C. Özgen, 2026.
25 655 0.249054039496 Azmi C. Özgen, 2026.
25 656 0.249106835922 Azmi C. Özgen, 2026.
25 657 0.249122422912 Azmi C. Özgen, 2026.
25 658 0.249194899621 Azmi C. Özgen, 2026.
25 659 0.249259904861 Azmi C. Özgen, 2026.
25 660 0.249316194561 Azmi C. Özgen, 2026.
25 661 0.249338608093 Azmi C. Özgen, 2026.
25 662 0.249364720363 Azmi C. Özgen, 2026.
25 663 0.249370347100 Azmi C. Özgen, 2026.
25 664 0.249498390079 Azmi C. Özgen, 2026.
25 665 0.249526764276 Azmi C. Özgen, 2026.
25 666 0.249553966032 Azmi C. Özgen, 2026.
25 667 0.249609099752 Azmi C. Özgen, 2026.
25 668 0.249637437278 Azmi C. Özgen, 2026.
25 669 0.249678605590 Azmi C. Özgen, 2026.
25 670 0.249712357268 Azmi C. Özgen, 2026.
25 671 0.249719061558 Azmi C. Özgen, 2026.
25 672 0.249738031449 Azmi C. Özgen, 2026.
25 673 0.249787777769 Azmi C. Özgen, 2026.
25 674 0.249798018626 Azmi C. Özgen, 2026.
25 675 0.249812405117 Azmi C. Özgen, 2026.
25 676 0.249814278087 Azmi C. Özgen, 2026.
25 677 0.249850279376 Azmi C. Özgen, 2026.
25 900 0.25 Henry Cohn, 2025.
4⁢x−1
25 915 0.25 Kevin Li, 2026.
4⁢x−1
25 920 0.25 Henry Cohn, 2026.
4⁢x−1
25 921 0.250009874637 Henry Cohn, 2026, needs more optimization.
25 922 0.250316877481 Azmi C. Özgen, 2026.
25 927 0.250435311233 Henry Cohn, 2026, needs more optimization.
25 928 0.252217935468 Azmi C. Özgen, 2026.
25 929 0.252910073510 Azmi C. Özgen, 2026.
25 930 0.253405169478 Azmi C. Özgen, 2026.
25 934 0.253511937243 Henry Cohn, 2026, needs more optimization.
25 935 0.255851237231 Azmi C. Özgen, 2026.
25 936 0.256442082319 Azmi C. Özgen, 2026.
25 937 0.257004920610 Azmi C. Özgen, 2026.
25 938 0.257355720901 Azmi C. Özgen, 2026.
25 939 0.257785775875 Azmi C. Özgen, 2026.
25 940 0.258295030973 Azmi C. Özgen, 2026.
25 941 0.258906048254 Azmi C. Özgen, 2026.
25 942 0.259532302167 Azmi C. Özgen, 2026.
25 970 0.259843574332 Henry Cohn, 2026.
167⁢x2−28⁢x−4
25 971 0.262071548451 Henry Cohn, 2026, needs more optimization.
25 972 0.262071548472 Azmi C. Özgen, 2026.
25 973 0.262071548509 Azmi C. Özgen, 2026.
25 974 0.262071548607 Azmi C. Özgen, 2026.
25 977 0.263299316186 Henry Cohn, 2026.
60⁢x2−12⁢x−1
25 978 0.263309432222 Azmi C. Özgen, 2026.
25 979 0.263398768023 Azmi C. Özgen, 2026.
25 980 0.263400059848 Azmi C. Özgen, 2026.
25 981 0.263495271659 Azmi C. Özgen, 2026.
25 982 0.263495276408 Azmi C. Özgen, 2026.
25 983 0.263495280931 Azmi C. Özgen, 2026.
25 984 0.263835742458 Azmi C. Özgen, 2026.
25 985 0.264333484828 Azmi C. Özgen, 2026.
25 986 0.264363979434 Azmi C. Özgen, 2026.
25 987 0.264617239414 Azmi C. Özgen, 2026.
25 988 0.264861579619 Azmi C. Özgen, 2026.
25 989 0.264867066087 Azmi C. Özgen, 2026.
25 990 0.265891405724 Azmi C. Özgen, 2026.
25 991 0.265926296363 Azmi C. Özgen, 2026.
25 992 0.266364551956 Azmi C. Özgen, 2026.
25 993 0.266409989826 Azmi C. Özgen, 2026.
25 994 0.267440276760 Henry Cohn, 2026, needs more optimization.
25 995 0.268194938879 Henry Cohn, 2026, needs more optimization.
25 997 0.269340875075 Henry Cohn, 2026, needs more optimization.
25 998 0.270989984903 Henry Cohn, 2026, needs more optimization.
25 999 0.271453749655 Henry Cohn, 2026, needs more optimization.
25 1000 0.271945279113 Henry Cohn, 2026, needs more optimization.
25 1024 0.272727272728 Code with 1024 points in 22 dimensions.
11⁢x−3
26 53 0.030620650808 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
14976⁢x3−676⁢x2−26⁢x+1
26 54 0.035745276453 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
26 55 0.039998800127 Arhan Canli, 2026.
26 57 0.04 Orthogonal union of 55 points in 25 dimensions and 2 points in 1 dimension.
25⁢x−1
26 58 0.045359447519 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
26 59 0.046102308738 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
26 60 0.046283677257 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
4416⁢x4+1568⁢x3−376⁢x2−8⁢x+1
26 61 0.049129792958 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
26 62 0.051287179678 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
26 63 0.051797462416 Henry Cohn, 2026, needs more optimization.
26 64 0.051797462469 Henry Cohn, 2026, needs more optimization.
26 65 0.051797462476 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
26 66 0.051797462893 Henry Cohn, 2026, needs more optimization.
26 67 0.062956992866 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
26 68 0.063557129350 Arhan Canli, 2026.
26 69 0.064912220956 Arhan Canli, 2026.
26 70 0.065389459148 Azmi C. Özgen, 2026.
26 71 0.066596080786 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
26 72 0.068273741076 Azmi C. Özgen, 2026.
26 73 0.070914846165 Azmi C. Özgen, 2026.
26 74 0.072330351047 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
26 75 0.073787223453 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
26 76 0.074793892670 Arhan Canli, 2026.
26 77 0.076165037678 Henry Cohn, 2026, needs more optimization.
26 78 0.076817067817 Arhan Canli, 2026.
26 79 0.076902140381 Arhan Canli, 2026.
26 80 0.076921132599 Arhan Canli, 2026.
26 81 0.077479700080 Azmi C. Özgen, 2026.
26 82 0.077805753983 Azmi C. Özgen, 2026.
26 83 0.078082049194 Robert Dallara, 2026.
26 84 0.078378290833 Henry Cohn, 2026, needs more optimization.
26 85 0.078745852280 Azmi C. Özgen, 2026.
26 86 0.079365454246 Arhan Canli, 2026.
26 94 0.080685003328 Henry Cohn, 2026.
575⁢x2−34⁢x−1
26 95 0.082971677910 Azmi C. Özgen, 2026.
26 96 0.085854925560 Arhan Canli, 2026.
26 97 0.088469309834 Arhan Canli, 2026.
26 98 0.089067272832 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
26 99 0.089810706241 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
26 100 0.089956641908 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
26 101 0.090089091243 Henry Cohn, 2026, needs more optimization.
26 102 0.090089091244 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
26 103 0.090587751393 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
26 104 0.090594197257 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
26 105 0.090731677093 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
26 106 0.090784057884 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
26 107 0.090800963061 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
26 108 0.090818338987 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
26 109 0.090874595241 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
26 110 0.090892781501 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
26 111 0.091344182233 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
26 112 0.093659256061 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
26 113 0.097014195010 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
26 114 0.099595293563 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
26 115 0.101947711863 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
26 120 0.103125332235 Henry Cohn, 2026.
191⁢x2−10⁢x−1
26 121 0.103331683221 Henry Cohn, 2026, needs more optimization.
26 122 0.105387312689 Henry Cohn, 2026, needs more optimization.
26 123 0.106258288850 Arhan Canli, 2026.
26 124 0.107051510408 Henry Cohn, 2026, needs more optimization.
26 125 0.107634500492 Azmi C. Özgen, 2026.
26 126 0.108090174531 Arhan Canli, 2026.
26 127 0.109062127261 Azmi C. Özgen, 2026.
26 128 0.110958179758 Arhan Canli, 2026.
26 129 0.110972768662 Arhan Canli, 2026.
26 130 0.110993759987 Arhan Canli, 2026.
26 131 0.111080454229 Arhan Canli, 2026.
26 132 0.112877069724 Azmi C. Özgen, 2026.
26 133 0.114496675287 Azmi C. Özgen, 2026.
26 134 0.115254720846 Azmi C. Özgen, 2026.
26 135 0.116267174830 Azmi C. Özgen, 2026.
26 136 0.116444844794 Pavlos Moros, 2026.
26 137 0.117067110014 Azmi C. Özgen, 2026.
26 138 0.118373879558 Arhan Canli, 2026.
26 139 0.122297899373 Azmi C. Özgen, 2026.
26 140 0.125290799928 Azmi C. Özgen, 2026.
26 141 0.127916600904 Azmi C. Özgen, 2026.
26 142 0.130142066227 Azmi C. Özgen, 2026.
26 143 0.130623786834 Azmi C. Özgen, 2026.
26 144 0.130643109978 Azmi C. Özgen, 2026.
26 145 0.130953727612 Azmi C. Özgen, 2026.
26 146 0.130965059369 Azmi C. Özgen, 2026.
26 147 0.131772596551 Azmi C. Özgen, 2026.
26 148 0.131987143290 Azmi C. Özgen, 2026.
26 149 0.132301687613 Azmi C. Özgen, 2026.
26 150 0.132815713979 Azmi C. Özgen, 2026.
26 159 0.133333333334 Henry Cohn, 2026.
15⁢x−2
26 160 0.134514564475 Azmi C. Özgen, 2026.
26 161 0.135119018348 Azmi C. Özgen, 2026.
26 162 0.135261098722 Azmi C. Özgen, 2026.
26 163 0.136014979469 Azmi C. Özgen, 2026.
26 164 0.136321564726 Azmi C. Özgen, 2026.
26 165 0.136775940218 Azmi C. Özgen, 2026.
26 166 0.138763392232 Azmi C. Özgen, 2026.
26 167 0.139906469967 Azmi C. Özgen, 2026.
26 168 0.140983725928 Azmi C. Özgen, 2026.
26 169 0.142625060124 Azmi C. Özgen, 2026.
26 170 0.142637046781 Azmi C. Özgen, 2026.
26 171 0.142684668267 Pavlos Moros, 2026.
26 172 0.142708315804 Pavlos Moros, 2026.
26 173 0.142717431356 Azmi C. Özgen, 2026.
26 174 0.142727140601 Azmi C. Özgen, 2026.
26 175 0.142741693260 Pavlos Moros, 2026.
26 176 0.142751127637 Pavlos Moros, 2026.
26 177 0.142758381380 Pavlos Moros, 2026.
26 178 0.142771318336 Pavlos Moros, 2026.
26 179 0.142787879900 Azmi C. Özgen, 2026.
26 180 0.142799699031 Pavlos Moros, 2026.
26 181 0.142811358832 Pavlos Moros, 2026.
26 182 0.142815782738 Henry Cohn, 2026, needs more optimization.
26 183 0.142822938134 Azmi C. Özgen, 2026.
26 184 0.142830891711 Pavlos Moros, 2026.
26 186 0.142857142858 Kevin Li, 2026.
7⁢x−1
26 187 0.142857142858 Henry Cohn, 2026.
7⁢x−1
26 188 0.143160752726 Pavlos Moros, 2026.
26 189 0.144435910117 Pavlos Moros, 2026.
26 190 0.145441693713 Azmi C. Özgen, 2026.
26 191 0.145476534718 Azmi C. Özgen, 2026.
26 192 0.145628816086 Azmi C. Özgen, 2026.
26 193 0.145855677505 Azmi C. Özgen, 2026.
26 194 0.146644410104 Azmi C. Özgen, 2026.
26 195 0.146646788278 Azmi C. Özgen, 2026.
26 197 0.146655049873 Azmi C. Özgen, 2026.
26 198 0.146949781793 Azmi C. Özgen, 2026.
26 199 0.147105003640 Henry Cohn, 2026, needs more optimization.
26 200 0.147110768263 Azmi C. Özgen, 2026.
26 202 0.147401121820 Azmi C. Özgen, 2026.
26 203 0.147408593988 Henry Cohn, 2026, needs more optimization.
26 204 0.147410032839 Robert Dallara, 2026.
26 207 0.149210652613 Azmi C. Özgen, 2026.
26 218 0.149321963531 Henry Cohn, 2026.
152⁢x2−16⁢x−1
26 219 0.150455530153 Henry Cohn, 2026, needs more optimization.
26 220 0.152425735587 Azmi C. Özgen, 2026.
26 221 0.153832022846 Azmi C. Özgen, 2026.
26 222 0.154181942858 Azmi C. Özgen, 2026.
26 223 0.154609209021 Henry Cohn, 2026, needs more optimization.
26 224 0.155088727070 Henry Cohn, 2026, needs more optimization.
26 225 0.155236982088 Azmi C. Özgen, 2026.
26 226 0.155240879200 Azmi C. Özgen, 2026.
26 227 0.155884168766 Azmi C. Özgen, 2026.
26 228 0.156647504598 Azmi C. Özgen, 2026.
26 229 0.158435845488 Azmi C. Özgen, 2026.
26 230 0.159324773965 Azmi C. Özgen, 2026.
26 231 0.160231894797 Azmi C. Özgen, 2026.
26 232 0.161911811246 Vadim Borisov, 2026, https://numaro.tech/.
26 233 0.162032589512 Azmi C. Özgen, 2026.
26 234 0.162429332128 Azmi C. Özgen, 2026.
26 235 0.162719056931 Azmi C. Özgen, 2026.
26 236 0.162721047838 Azmi C. Özgen, 2026.
26 237 0.162984704251 Azmi C. Özgen, 2026.
26 238 0.163782862567 Azmi C. Özgen, 2026.
26 239 0.163966065262 Azmi C. Özgen, 2026.
26 240 0.164507231391 Azmi C. Özgen, 2026.
26 241 0.165071214019 Azmi C. Özgen, 2026.
26 242 0.165092504700 Azmi C. Özgen, 2026.
26 243 0.165479449326 Azmi C. Özgen, 2026.
26 244 0.165782835815 Azmi C. Özgen, 2026.
26 245 0.165890947308 Azmi C. Özgen, 2026.
26 246 0.166154672470 Azmi C. Özgen, 2026.
26 247 0.166245339415 Azmi C. Özgen, 2026.
26 248 0.166257951451 Azmi C. Özgen, 2026.
26 249 0.166307847635 Azmi C. Özgen, 2026.
26 250 0.166376992352 Azmi C. Özgen, 2026.
26 251 0.166389952942 Azmi C. Özgen, 2026.
26 252 0.166452233952 Azmi C. Özgen, 2026.
26 253 0.166489141466 Azmi C. Özgen, 2026.
26 254 0.166514846448 Azmi C. Özgen, 2026.
26 255 0.166535678582 Pavlos Moros, 2026.
26 256 0.166576752861 Pavlos Moros, 2026.
26 257 0.166593360639 Pavlos Moros, 2026.
26 258 0.166625486986 Henry Cohn, 2026, needs more optimization.
26 297 0.166666666667 Kevin Li, 2026.
6⁢x−1
26 298 0.167286219797 Azmi C. Özgen, 2026.
26 299 0.168415502303 Azmi C. Özgen, 2026.
26 300 0.169882807041 Azmi C. Özgen, 2026.
26 301 0.170947896750 Azmi C. Özgen, 2026.
26 302 0.172021094821 Azmi C. Özgen, 2026.
26 303 0.173587716533 Azmi C. Özgen, 2026.
26 304 0.175344018097 Azmi C. Özgen, 2026.
26 305 0.176258428955 Azmi C. Özgen, 2026.
26 306 0.177379146851 Henry Cohn, 2026, needs more optimization.
26 307 0.179384838810 Azmi C. Özgen, 2026.
26 308 0.180025236707 Azmi C. Özgen, 2026.
26 330 0.181818181819 Henry Cohn, 2026.
11⁢x−2
26 331 0.182011894343 Azmi C. Özgen, 2026.
26 332 0.182499589037 Azmi C. Özgen, 2026.
26 333 0.183962788450 Azmi C. Özgen, 2026.
26 334 0.184951431812 Azmi C. Özgen, 2026.
26 335 0.185609754658 Azmi C. Özgen, 2026.
26 336 0.185977403684 Henry Cohn, 2026, needs more optimization.
26 337 0.187775224954 Azmi C. Özgen, 2026.
26 338 0.188611320305 Azmi C. Özgen, 2026.
26 339 0.189940750814 Azmi C. Özgen, 2026.
26 340 0.190248638004 Azmi C. Özgen, 2026.
26 341 0.191993080448 Azmi C. Özgen, 2026.
26 342 0.192419090429 Azmi C. Özgen, 2026.
26 343 0.193040909588 Azmi C. Özgen, 2026.
26 344 0.194275551682 Azmi C. Özgen, 2026.
26 345 0.195111498511 Azmi C. Özgen, 2026.
26 346 0.196255138341 Azmi C. Özgen, 2026.
26 347 0.196378360194 Azmi C. Özgen, 2026.
26 348 0.196470142846 Azmi C. Özgen, 2026.
26 349 0.196624798777 Azmi C. Özgen, 2026.
26 350 0.196836506071 Azmi C. Özgen, 2026.
26 351 0.196941831097 Azmi C. Özgen, 2026.
26 352 0.196962964486 Azmi C. Özgen, 2026.
26 353 0.197130458777 Azmi C. Özgen, 2026.
26 354 0.197238215120 Azmi C. Özgen, 2026.
26 355 0.197318050400 Azmi C. Özgen, 2026.
26 356 0.197386101955 Azmi C. Özgen, 2026.
26 357 0.197672706856 Azmi C. Özgen, 2026.
26 358 0.197763451075 Azmi C. Özgen, 2026.
26 359 0.197833343197 Azmi C. Özgen, 2026.
26 360 0.198047111175 Azmi C. Özgen, 2026.
26 361 0.198054761668 Azmi C. Özgen, 2026.
26 362 0.198107034786 Azmi C. Özgen, 2026.
26 363 0.198183142033 Azmi C. Özgen, 2026.
26 364 0.198251489160 Azmi C. Özgen, 2026.
26 365 0.198365848246 Henry Cohn, 2026, needs more optimization.
26 366 0.198449196714 Azmi C. Özgen, 2026.
26 368 0.198450267120 Henry Cohn, 2026, needs more optimization.
26 369 0.198666900655 Azmi C. Özgen, 2026.
26 370 0.198779367728 Azmi C. Özgen, 2026.
26 371 0.198923100315 Azmi C. Özgen, 2026.
26 372 0.199002828925 Azmi C. Özgen, 2026.
26 373 0.199027141227 Azmi C. Özgen, 2026.
26 374 0.199100550191 Azmi C. Özgen, 2026.
26 375 0.199178364268 Azmi C. Özgen, 2026.
26 376 0.199266008746 Azmi C. Özgen, 2026.
26 377 0.199277505068 Azmi C. Özgen, 2026.
26 381 0.199300109038 Robert Dallara, 2026.
26 382 0.199468458642 Azmi C. Özgen, 2026.
26 383 0.199498395092 Azmi C. Özgen, 2026.
26 384 0.199519246991 Azmi C. Özgen, 2026.
26 385 0.199567502645 Azmi C. Özgen, 2026.
26 386 0.199605179907 Azmi C. Özgen, 2026.
26 387 0.199645045707 Azmi C. Özgen, 2026.
26 388 0.199669368835 Azmi C. Özgen, 2026.
26 389 0.199699173959 Azmi C. Özgen, 2026.
26 390 0.199744741993 Azmi C. Özgen, 2026.
26 391 0.199754831485 Azmi C. Özgen, 2026.
26 392 0.199763239461 Azmi C. Özgen, 2026.
26 393 0.199772486922 Azmi C. Özgen, 2026.
26 394 0.199798897797 Azmi C. Özgen, 2026.
26 395 0.199800747463 Azmi C. Özgen, 2026.
26 396 0.199834823805 Azmi C. Özgen, 2026.
26 397 0.199863731571 Azmi C. Özgen, 2026.
26 398 0.199874276945 Azmi C. Özgen, 2026.
26 399 0.199886390886 Azmi C. Özgen, 2026.
26 402 0.199887645708 Henry Cohn, 2026, needs more optimization.
26 403 0.199934061079 Henry Cohn, 2026, needs more optimization.
26 404 0.199949881568 Henry Cohn, 2026, needs more optimization.
26 407 0.199960854793 Henry Cohn, 2026, needs more optimization.
26 571 0.2 Henry Cohn, 2026.
5⁢x−1
26 572 0.200446447522 Azmi C. Özgen, 2026.
26 573 0.200818231583 Azmi C. Özgen, 2026.
26 574 0.202132386740 Azmi C. Özgen, 2026.
26 575 0.203797882374 Azmi C. Özgen, 2026.
26 576 0.205231167054 Azmi C. Özgen, 2026.
26 577 0.207865588090 Azmi C. Özgen, 2026.
26 578 0.208889582547 Azmi C. Özgen, 2026.
26 579 0.210895757001 Azmi C. Özgen, 2026.
26 580 0.211844028581 Azmi C. Özgen, 2026.
26 581 0.212551136728 Azmi C. Özgen, 2026.
26 582 0.213681418759 Azmi C. Özgen, 2026.
26 583 0.214446486256 Azmi C. Özgen, 2026.
26 584 0.217158644911 Azmi C. Özgen, 2026.
26 585 0.218078714483 Azmi C. Özgen, 2026.
26 586 0.218696323273 Azmi C. Özgen, 2026.
26 587 0.219783852271 Azmi C. Özgen, 2026.
26 588 0.221282360369 Azmi C. Özgen, 2026.
26 589 0.221287360828 Azmi C. Özgen, 2026.
26 590 0.221961466093 Azmi C. Özgen, 2026.
26 591 0.223037159176 Azmi C. Özgen, 2026.
26 592 0.223770397691 Azmi C. Özgen, 2026.
26 593 0.224533763988 Azmi C. Özgen, 2026.
26 594 0.225560853092 Azmi C. Özgen, 2026.
26 595 0.225576440806 Azmi C. Özgen, 2026.
26 596 0.225600595108 Azmi C. Özgen, 2026.
26 597 0.226287405847 Azmi C. Özgen, 2026.
26 598 0.226820204368 Azmi C. Özgen, 2026.
26 599 0.227327967477 Azmi C. Özgen, 2026.
26 600 0.229513033411 Henry Cohn, 2026, needs more optimization.
26 601 0.231771701824 Henry Cohn, 2026, needs more optimization.
26 633 0.233711730709 Kevin Li, 2026.
160⁢x2−16⁢x−5
26 649 0.233711730709 Henry Cohn, 2026.
160⁢x2−16⁢x−5
26 650 0.233941062210 Azmi C. Özgen, 2026.
26 651 0.234251086396 Azmi C. Özgen, 2026.
26 652 0.234538353215 Azmi C. Özgen, 2026.
26 653 0.235079458635 Azmi C. Özgen, 2026.
26 654 0.235186797244 Azmi C. Özgen, 2026.
26 655 0.235471824619 Azmi C. Özgen, 2026.
26 656 0.236705136527 Azmi C. Özgen, 2026.
26 657 0.237309250699 Azmi C. Özgen, 2026.
26 658 0.237821944886 Azmi C. Özgen, 2026.
26 659 0.238390784232 Azmi C. Özgen, 2026.
26 660 0.238817841883 Azmi C. Özgen, 2026.
26 661 0.239342519197 Azmi C. Özgen, 2026.
26 662 0.239650455835 Azmi C. Özgen, 2026.
26 663 0.239733394472 Azmi C. Özgen, 2026.
26 664 0.240334896050 Azmi C. Özgen, 2026.
26 665 0.240345998729 Azmi C. Özgen, 2026.
26 666 0.241212963984 Azmi C. Özgen, 2026.
26 667 0.241614388758 Azmi C. Özgen, 2026.
26 668 0.241962691129 Azmi C. Özgen, 2026.
26 670 0.243632699651 Robert Dallara, 2026.
26 671 0.246514231110 Azmi C. Özgen, 2026.
26 672 0.248009737781 Azmi C. Özgen, 2026.
26 673 0.248066437569 Azmi C. Özgen, 2026.
26 674 0.248157757057 Azmi C. Özgen, 2026.
26 675 0.248307567313 Azmi C. Özgen, 2026.
26 676 0.248334094009 Azmi C. Özgen, 2026.
26 680 0.248406928949 Henry Cohn, 2026, needs more optimization.
26 681 0.248573451555 Azmi C. Özgen, 2026.
26 682 0.248644780134 Azmi C. Özgen, 2026.
26 683 0.248746825926 Azmi C. Özgen, 2026.
26 684 0.248747602729 Azmi C. Özgen, 2026.
26 685 0.248824339631 Azmi C. Özgen, 2026.
26 686 0.248919794969 Azmi C. Özgen, 2026.
26 687 0.248932605291 Azmi C. Özgen, 2026.
26 688 0.248963091619 Azmi C. Özgen, 2026.
26 689 0.249002875308 Azmi C. Özgen, 2026.
26 690 0.249008944961 Azmi C. Özgen, 2026.
26 691 0.249011907611 Azmi C. Özgen, 2026.
26 692 0.249057259566 Azmi C. Özgen, 2026.
26 693 0.249086142003 Azmi C. Özgen, 2026.
26 694 0.249097157000 Azmi C. Özgen, 2026.
26 695 0.249106954654 Azmi C. Özgen, 2026.
26 696 0.249112841999 Azmi C. Özgen, 2026.
26 697 0.249157509714 Azmi C. Özgen, 2026.
26 698 0.249196578825 Azmi C. Özgen, 2026.
26 699 0.249259583261 Azmi C. Özgen, 2026.
26 700 0.249259583330 Azmi C. Özgen, 2026.
26 701 0.249342546041 Azmi C. Özgen, 2026.
26 702 0.249375944803 Azmi C. Özgen, 2026.
26 703 0.249407433136 Azmi C. Özgen, 2026.
26 704 0.249422964492 Azmi C. Özgen, 2026.
26 705 0.249460801585 Azmi C. Özgen, 2026.
26 706 0.249478785089 Azmi C. Özgen, 2026.
26 707 0.249542723358 Azmi C. Özgen, 2026.
26 708 0.249562977890 Azmi C. Özgen, 2026.
26 709 0.249585052873 Azmi C. Özgen, 2026.
26 710 0.249606753765 Azmi C. Özgen, 2026.
26 711 0.249635946419 Azmi C. Özgen, 2026.
26 712 0.249649067030 Azmi C. Özgen, 2026.
26 713 0.249664524946 Pavlos Moros, 2026.
26 714 0.249664796546 Azmi C. Özgen, 2026.
26 715 0.249699947058 Azmi C. Özgen, 2026.
26 716 0.249721659830 Azmi C. Özgen, 2026.
26 717 0.249736863985 Azmi C. Özgen, 2026.
26 718 0.249742898198 Azmi C. Özgen, 2026.
26 719 0.249763533383 Azmi C. Özgen, 2026.
26 720 0.249773886429 Azmi C. Özgen, 2026.
26 721 0.249779315544 Azmi C. Özgen, 2026.
26 722 0.249802153604 Azmi C. Özgen, 2026.
26 723 0.249810752636 Azmi C. Özgen, 2026.
26 939 0.25 Kevin Li, 2026.
4⁢x−1
26 943 0.250144466082 Henry Cohn, 2026, needs more optimization.
26 944 0.250833615533 Azmi C. Özgen, 2026.
26 945 0.250986354585 Azmi C. Özgen, 2026.
26 946 0.251642018678 Azmi C. Özgen, 2026.
26 947 0.251980744464 Azmi C. Özgen, 2026.
26 948 0.252306198556 Azmi C. Özgen, 2026.
26 949 0.252718440820 Azmi C. Özgen, 2026.
26 953 0.252763550756 Henry Cohn, 2026, needs more optimization.
26 954 0.254630281407 Azmi C. Özgen, 2026.
26 955 0.254858278417 Azmi C. Özgen, 2026.
26 958 0.255115663849 Henry Cohn, 2026, needs more optimization.
26 962 0.256039583013 Henry Cohn, 2026, needs more optimization.
26 963 0.257831858002 Azmi C. Özgen, 2026.
26 964 0.258263045235 Azmi C. Özgen, 2026.
26 965 0.258365743322 Azmi C. Özgen, 2026.
26 966 0.258649645643 Azmi C. Özgen, 2026.
26 967 0.259054002841 Azmi C. Özgen, 2026.
26 968 0.259288845391 Azmi C. Özgen, 2026.
26 973 0.259802829695 Pavlos Moros, 2026.
26 974 0.259802929696 Azmi C. Özgen, 2026.
26 975 0.259802936037 Azmi C. Özgen, 2026.
26 976 0.259813713692 Azmi C. Özgen, 2026.
26 977 0.259839853269 Azmi C. Özgen, 2026.
26 978 0.260412909450 Azmi C. Özgen, 2026.
26 979 0.261899031319 Azmi C. Özgen, 2026.
26 980 0.261901423132 Azmi C. Özgen, 2026.
26 981 0.261902304055 Azmi C. Özgen, 2026.
26 982 0.261902306460 Azmi C. Özgen, 2026.
26 983 0.261902311420 Azmi C. Özgen, 2026.
26 984 0.261902314438 Azmi C. Özgen, 2026.
26 985 0.261902980113 Azmi C. Özgen, 2026.
26 986 0.261906195305 Azmi C. Özgen, 2026.
26 987 0.261906196750 Azmi C. Özgen, 2026.
26 988 0.261906198457 Azmi C. Özgen, 2026.
26 989 0.261906924950 Azmi C. Özgen, 2026.
26 990 0.262130967595 Henry Cohn, 2026, needs more optimization.
26 1024 0.263299316186 Henry Cohn, 2026.
60⁢x2−12⁢x−1
27 55 0.029589200879 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
16875⁢x3−729⁢x2−27⁢x+1
27 56 0.034509985004 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
27 57 0.039896711768 Henry Cohn, 2026, needs more optimization.
27 58 0.039896802692 Henry Cohn, 2026.
27 59 0.039966776409 Henry Cohn, 2026, needs more optimization.
27 60 0.044785718796 Henry Cohn, 2026, needs more optimization.
27 61 0.045201033609 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
27 62 0.046029514076 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
27 63 0.047652441689 Henry Cohn, 2026.
27 64 0.050067815256 Henry Cohn, 2026.
27 65 0.051790451598 Henry Cohn, 2026, needs more optimization.
27 66 0.051790451599 Henry Cohn, 2026, needs more optimization.
27 67 0.051790451602 Henry Cohn, 2026, needs more optimization.
27 68 0.051797462893 Orthogonal union of 66 points in 26 dimensions and 2 points in 1 dimension.
27 69 0.060739236420 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
27 70 0.062920383957 Arhan Canli, 2026.
27 71 0.063925985794 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
27 72 0.064129341355 Arhan Canli, 2026.
27 73 0.065313969297 Azmi C. Özgen, 2026.
27 74 0.066292980641 Arhan Canli, 2026.
27 75 0.067691814168 Arhan Canli, 2026.
27 76 0.069936420540 Azmi C. Özgen, 2026.
27 77 0.072325076926 Arhan Canli, 2026.
27 78 0.073947774097 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
27 79 0.075140154489 Azmi C. Özgen, 2026.
27 80 0.075864670986 Arhan Canli, 2026.
27 81 0.076588920215 Arhan Canli, 2026.
27 82 0.076774645050 Arhan Canli, 2026.
27 83 0.076787708889 Arhan Canli, 2026.
27 84 0.076821252787 Arhan Canli, 2026.
27 85 0.077360414213 Azmi C. Özgen, 2026.
27 86 0.077581191382 Azmi C. Özgen, 2026.
27 87 0.078052817711 Azmi C. Özgen, 2026.
27 88 0.078607188885 Azmi C. Özgen, 2026.
27 89 0.079013115826 Azmi C. Özgen, 2026.
27 90 0.079464011841 Henry Cohn, 2026, needs more optimization.
27 91 0.079744725245 Arhan Canli, 2026.
27 92 0.080374198772 Azmi C. Özgen, 2026.
27 93 0.080603514329 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
27 94 0.080669976117 Henry Cohn, 2026, needs more optimization.
27 95 0.080684133304 Arhan Canli, 2026.
27 98 0.080685003328 Henry Cohn, 2026.
575⁢x2−34⁢x−1
27 99 0.084112452028 Henry Cohn, 2026, needs more optimization.
27 100 0.086219517924 Henry Cohn, 2026, needs more optimization.
27 101 0.088058365505 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
27 102 0.088748226794 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
27 103 0.088777315935 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
27 104 0.089035400332 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
27 105 0.089444154229 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
27 106 0.089638585526 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
27 107 0.089640909289 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
27 108 0.089811748515 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
27 109 0.090395199106 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
27 110 0.090552603681 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
27 111 0.090617926233 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
27 112 0.090741401880 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
27 113 0.090777212437 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
27 114 0.090903863888 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
27 115 0.092274494633 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
27 116 0.094743840358 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
27 117 0.097019128086 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
27 118 0.099760980934 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
27 119 0.101957515806 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
27 120 0.102640924042 Henry Cohn, 2026, needs more optimization.
27 121 0.102992255614 Arhan Canli, 2026.
27 122 0.103078150854 Arhan Canli, 2026.
27 125 0.103125332235 Henry Cohn, 2026.
191⁢x2−10⁢x−1
27 126 0.104298236890 Arhan Canli, 2026.
27 127 0.104909331789 Henry Cohn, 2026, needs more optimization.
27 128 0.105445244718 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
27 129 0.106436976434 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
27 130 0.107457245276 Henry Cohn, 2026, needs more optimization.
27 131 0.108074891617 Pavlos Moros, 2026.
27 132 0.109177240697 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
27 133 0.110537544399 Azmi C. Özgen, 2026.
27 134 0.110994229247 Arhan Canli, 2026.
27 135 0.111000957776 Arhan Canli, 2026.
27 136 0.111380922969 Azmi C. Özgen, 2026.
27 137 0.112837132464 Azmi C. Özgen, 2026.
27 138 0.114218705717 Azmi C. Özgen, 2026.
27 139 0.114819732964 Azmi C. Özgen, 2026.
27 140 0.115205048507 Azmi C. Özgen, 2026.
27 141 0.116264809698 Azmi C. Özgen, 2026.
27 142 0.117401273948 Azmi C. Özgen, 2026.
27 143 0.119084397339 Azmi C. Özgen, 2026.
27 144 0.120835816208 Henry Cohn, 2026, needs more optimization.
27 145 0.123117116380 Azmi C. Özgen, 2026.
27 146 0.125352762447 Azmi C. Özgen, 2026.
27 147 0.127226476984 Azmi C. Özgen, 2026.
27 148 0.128555481017 Azmi C. Özgen, 2026.
27 149 0.129942624027 Azmi C. Özgen, 2026.
27 150 0.131226248589 Azmi C. Özgen, 2026.
27 151 0.131309536550 Azmi C. Özgen, 2026.
27 152 0.131534465091 Azmi C. Özgen, 2026.
27 153 0.131732530244 Azmi C. Özgen, 2026.
27 154 0.131835855476 Azmi C. Özgen, 2026.
27 155 0.131843554279 Azmi C. Özgen, 2026.
27 156 0.132190670920 Azmi C. Özgen, 2026.
27 157 0.132438727080 Azmi C. Özgen, 2026.
27 158 0.132499205188 Henry Cohn, 2026, needs more optimization.
27 159 0.132835653393 Henry Cohn, 2026, needs more optimization.
27 160 0.133264334162 Arhan Canli, 2026.
27 161 0.133298175503 Henry Cohn, 2026, needs more optimization.
27 162 0.133314268262 Henry Cohn, 2026, needs more optimization.
27 163 0.133326851843 Azmi C. Özgen, 2026.
27 164 0.133448537959 Azmi C. Özgen, 2026.
27 165 0.134772369096 Henry Cohn, 2026, needs more optimization.
27 166 0.134795254692 Azmi C. Özgen, 2026.
27 167 0.134892322706 Azmi C. Özgen, 2026.
27 168 0.135115244155 Azmi C. Özgen, 2026.
27 169 0.135200400232 Azmi C. Özgen, 2026.
27 170 0.135761420909 Azmi C. Özgen, 2026.
27 171 0.136255763871 Henry Cohn, 2026, needs more optimization.
27 172 0.137270414922 Azmi C. Özgen, 2026.
27 173 0.138865770305 Azmi C. Özgen, 2026.
27 174 0.139508394555 Azmi C. Özgen, 2026.
27 175 0.140936180751 Azmi C. Özgen, 2026.
27 176 0.142236932181 Azmi C. Özgen, 2026.
27 177 0.142270664324 Azmi C. Özgen, 2026.
27 178 0.142341439260 Azmi C. Özgen, 2026.
27 179 0.142387807982 Azmi C. Özgen, 2026.
27 180 0.142480723441 Henry Cohn, 2026, needs more optimization.
27 181 0.142505121556 Azmi C. Özgen, 2026.
27 182 0.142537983388 Henry Cohn, 2026, needs more optimization.
27 183 0.142542288708 Azmi C. Özgen, 2026.
27 185 0.142544657707 Henry Cohn, 2026, needs more optimization.
27 186 0.142608711168 Azmi C. Özgen, 2026.
27 187 0.142636286358 Azmi C. Özgen, 2026.
27 188 0.142692039490 Arhan Canli, 2026.
27 189 0.142745435922 Arhan Canli, 2026.
27 190 0.142750510294 Arhan Canli, 2026.
27 191 0.142798551087 Azmi C. Özgen, 2026.
27 195 0.142857142858 Kevin Li, 2026.
7⁢x−1
27 196 0.142889658744 Azmi C. Özgen, 2026.
27 197 0.145248575799 Azmi C. Özgen, 2026.
27 198 0.145315070414 Azmi C. Özgen, 2026.
27 199 0.145418880183 Azmi C. Özgen, 2026.
27 200 0.145634168970 Azmi C. Özgen, 2026.
27 201 0.146045949466 Azmi C. Özgen, 2026.
27 202 0.146156880433 Azmi C. Özgen, 2026.
27 203 0.146443588669 Azmi C. Özgen, 2026.
27 204 0.146758463092 Robert Dallara, 2026.
27 205 0.146839108786 Azmi C. Özgen, 2026.
27 206 0.146919582064 Henry Cohn, 2026, needs more optimization.
27 209 0.147139096521 Henry Cohn, 2026, needs more optimization.
27 210 0.147377754788 Azmi C. Özgen, 2026.
27 211 0.147377905212 Azmi C. Özgen, 2026.
27 212 0.147451489922 Henry Cohn, 2026, needs more optimization.
27 215 0.147651517511 Henry Cohn, 2026.
1655⁢x2−136⁢x−16
27 217 0.147955377822 Pavlos Moros, 2026.
27 218 0.148095549820 Azmi C. Özgen, 2026.
27 219 0.149263712084 Azmi C. Özgen, 2026.
27 220 0.149321946825 Henry Cohn, 2026, needs more optimization.
27 223 0.149321963551 Azmi C. Özgen, 2026.
27 224 0.149321968099 Azmi C. Özgen, 2026.
27 225 0.149321968748 Azmi C. Özgen, 2026.
27 226 0.149321969492 Azmi C. Özgen, 2026.
27 227 0.149322097091 Azmi C. Özgen, 2026.
27 228 0.149363522849 Azmi C. Özgen, 2026.
27 230 0.149763342390 Arhan Canli, 2026.
27 231 0.150361917349 Azmi C. Özgen, 2026.
27 234 0.150452300936 Robert Dallara, 2026.
27 235 0.152350883900 Azmi C. Özgen, 2026.
27 236 0.153592690587 Azmi C. Özgen, 2026.
27 238 0.154753508879 Arhan Canli, 2026.
27 239 0.157700400121 Azmi C. Özgen, 2026.
27 240 0.158830979234 Azmi C. Özgen, 2026.
27 241 0.159645475191 Azmi C. Özgen, 2026.
27 242 0.160373266080 Azmi C. Özgen, 2026.
27 243 0.161433121446 Arhan Canli, 2026.
27 244 0.162124040334 Azmi C. Özgen, 2026.
27 245 0.162170192807 Azmi C. Özgen, 2026.
27 246 0.162478047566 Azmi C. Özgen, 2026.
27 247 0.162509005544 Azmi C. Özgen, 2026.
27 250 0.162664008617 Azmi C. Özgen, 2026.
27 251 0.163591468675 Azmi C. Özgen, 2026.
27 252 0.163878201003 Azmi C. Özgen, 2026.
27 253 0.163926866247 Azmi C. Özgen, 2026.
27 254 0.164011175253 Azmi C. Özgen, 2026.
27 255 0.164440245776 Azmi C. Özgen, 2026.
27 256 0.164601961130 Azmi C. Özgen, 2026.
27 257 0.164737949856 Pavlos Moros, 2026.
27 258 0.164981727841 Azmi C. Özgen, 2026.
27 259 0.165073979337 Azmi C. Özgen, 2026.
27 260 0.165192454934 Azmi C. Özgen, 2026.
27 261 0.165323519028 Azmi C. Özgen, 2026.
27 262 0.165458219635 Azmi C. Özgen, 2026.
27 263 0.165542090632 Azmi C. Özgen, 2026.
27 264 0.165674619539 Azmi C. Özgen, 2026.
27 265 0.165747933886 Azmi C. Özgen, 2026.
27 266 0.165808183361 Azmi C. Özgen, 2026.
27 267 0.165876855213 Azmi C. Özgen, 2026.
27 268 0.165935395941 Azmi C. Özgen, 2026.
27 269 0.166016056725 Azmi C. Özgen, 2026.
27 270 0.166124965323 Azmi C. Özgen, 2026.
27 271 0.166241230607 Azmi C. Özgen, 2026.
27 272 0.166285142684 Azmi C. Özgen, 2026.
27 273 0.166308329446 Azmi C. Özgen, 2026.
27 274 0.166340988370 Azmi C. Özgen, 2026.
27 275 0.166347024633 Azmi C. Özgen, 2026.
27 276 0.166425635285 Henry Cohn, 2026, needs more optimization.
27 277 0.166475357018 Azmi C. Özgen, 2026.
27 278 0.166483679790 Azmi C. Özgen, 2026.
27 279 0.166495090492 Azmi C. Özgen, 2026.
27 280 0.166526664101 Azmi C. Özgen, 2026.
27 281 0.166568127386 Azmi C. Özgen, 2026.
27 305 0.166666666667 Kevin Li, 2026.
6⁢x−1
27 306 0.166737827825 Azmi C. Özgen, 2026.
27 307 0.167235530306 Azmi C. Özgen, 2026.
27 308 0.168001365842 Azmi C. Özgen, 2026.
27 309 0.169297211061 Azmi C. Özgen, 2026.
27 310 0.170327672055 Azmi C. Özgen, 2026.
27 311 0.171422428416 Azmi C. Özgen, 2026.
27 312 0.172731761143 Azmi C. Özgen, 2026.
27 313 0.173614132690 Azmi C. Özgen, 2026.
27 314 0.174631083513 Azmi C. Özgen, 2026.
27 315 0.175873170490 Azmi C. Özgen, 2026.
27 316 0.177267227356 Azmi C. Özgen, 2026.
27 317 0.177639324308 Azmi C. Özgen, 2026.
27 318 0.178859956499 Azmi C. Özgen, 2026.
27 319 0.179292327696 Azmi C. Özgen, 2026.
27 320 0.180405022662 Azmi C. Özgen, 2026.
27 321 0.180806678125 Azmi C. Özgen, 2026.
27 322 0.180809226595 Azmi C. Özgen, 2026.
27 323 0.181011088259 Azmi C. Özgen, 2026.
27 324 0.181172336039 Azmi C. Özgen, 2026.
27 325 0.181292161098 Azmi C. Özgen, 2026.
27 326 0.181377481793 Azmi C. Özgen, 2026.
27 327 0.181437998225 Azmi C. Özgen, 2026.
27 328 0.181443525490 Azmi C. Özgen, 2026.
27 329 0.181601224013 Azmi C. Özgen, 2026.
27 330 0.181645708044 Azmi C. Özgen, 2026.
27 331 0.181665573012 Azmi C. Özgen, 2026.
27 332 0.181690678837 Pavlos Moros, 2026.
27 333 0.181738019763 Azmi C. Özgen, 2026.
27 334 0.181757940362 Azmi C. Özgen, 2026.
27 335 0.181779668854 Azmi C. Özgen, 2026.
27 336 0.181782570851 Azmi C. Özgen, 2026.
27 337 0.181809623163 Azmi C. Özgen, 2026.
27 338 0.181822019949 Azmi C. Özgen, 2026.
27 339 0.181829227470 Henry Cohn, 2026, needs more optimization.
27 340 0.182142285441 Azmi C. Özgen, 2026.
27 341 0.182652913245 Azmi C. Özgen, 2026.
27 342 0.183375790877 Azmi C. Özgen, 2026.
27 343 0.183964142828 Azmi C. Özgen, 2026.
27 344 0.184441266419 Azmi C. Özgen, 2026.
27 345 0.185413682483 Azmi C. Özgen, 2026.
27 346 0.186190828713 Azmi C. Özgen, 2026.
27 347 0.186513535747 Azmi C. Özgen, 2026.
27 348 0.187153578078 Azmi C. Özgen, 2026.
27 349 0.188014992822 Azmi C. Özgen, 2026.
27 350 0.188471974679 Azmi C. Özgen, 2026.
27 351 0.189168678591 Azmi C. Özgen, 2026.
27 352 0.189972173006 Robert Dallara, 2026.
27 353 0.190790002651 Azmi C. Özgen, 2026.
27 354 0.191677887470 Azmi C. Özgen, 2026.
27 355 0.192475401306 Azmi C. Özgen, 2026.
27 356 0.193114584865 Azmi C. Özgen, 2026.
27 357 0.193769154166 Azmi C. Özgen, 2026.
27 358 0.193810836134 Azmi C. Özgen, 2026.
27 359 0.193968763059 Azmi C. Özgen, 2026.
27 360 0.194431094140 Azmi C. Özgen, 2026.
27 361 0.195568300483 Azmi C. Özgen, 2026.
27 362 0.195709562385 Azmi C. Özgen, 2026.
27 363 0.195849591115 Azmi C. Özgen, 2026.
27 364 0.195999154433 Azmi C. Özgen, 2026.
27 365 0.196010616170 Azmi C. Özgen, 2026.
27 368 0.196096171223 Henry Cohn, 2026, needs more optimization.
27 369 0.196433241078 Azmi C. Özgen, 2026.
27 370 0.196506537809 Azmi C. Özgen, 2026.
27 371 0.196659101262 Azmi C. Özgen, 2026.
27 372 0.196702004818 Azmi C. Özgen, 2026.
27 373 0.196823837970 Azmi C. Özgen, 2026.
27 374 0.196942999286 Azmi C. Özgen, 2026.
27 375 0.197050069465 Azmi C. Özgen, 2026.
27 376 0.197125768065 Azmi C. Özgen, 2026.
27 377 0.197315911157 Azmi C. Özgen, 2026.
27 378 0.197436145100 Azmi C. Özgen, 2026.
27 379 0.197550236396 Azmi C. Özgen, 2026.
27 380 0.197638412440 Azmi C. Özgen, 2026.
27 381 0.197849924115 Azmi C. Özgen, 2026.
27 382 0.197878932232 Azmi C. Özgen, 2026.
27 383 0.198005583956 Azmi C. Özgen, 2026.
27 384 0.198016292319 Azmi C. Özgen, 2026.
27 385 0.198135897510 Azmi C. Özgen, 2026.
27 386 0.198273380100 Azmi C. Özgen, 2026.
27 387 0.198304974564 Azmi C. Özgen, 2026.
27 388 0.198430177717 Azmi C. Özgen, 2026.
27 389 0.198517425661 Azmi C. Özgen, 2026.
27 390 0.198581822645 Henry Cohn, 2026, needs more optimization.
27 391 0.198706115693 Azmi C. Özgen, 2026.
27 392 0.198734371815 Azmi C. Özgen, 2026.
27 393 0.198800212949 Pavlos Moros, 2026.
27 394 0.198885691044 Azmi C. Özgen, 2026.
27 395 0.198980764165 Azmi C. Özgen, 2026.
27 396 0.199016391096 Azmi C. Özgen, 2026.
27 397 0.199020293644 Azmi C. Özgen, 2026.
27 398 0.199029389007 Azmi C. Özgen, 2026.
27 399 0.199086446245 Azmi C. Özgen, 2026.
27 400 0.199178595022 Azmi C. Özgen, 2026.
27 401 0.199186332517 Azmi C. Özgen, 2026.
27 404 0.199218379691 Henry Cohn, 2026, needs more optimization.
27 406 0.199333831208 Henry Cohn, 2026, needs more optimization.
27 407 0.199400789813 Azmi C. Özgen, 2026.
27 408 0.199467170128 Azmi C. Özgen, 2026.
27 409 0.199513622976 Azmi C. Özgen, 2026.
27 410 0.199523434579 Azmi C. Özgen, 2026.
27 411 0.199541727077 Azmi C. Özgen, 2026.
27 412 0.199602289048 Azmi C. Özgen, 2026.
27 413 0.199603719054 Azmi C. Özgen, 2026.
27 414 0.199619770907 Azmi C. Özgen, 2026.
27 415 0.199640015695 Azmi C. Özgen, 2026.
27 417 0.199668674838 Henry Cohn, 2026, needs more optimization.
27 418 0.199741469991 Azmi C. Özgen, 2026.
27 419 0.199744072428 Azmi C. Özgen, 2026.
27 420 0.199781493337 Azmi C. Özgen, 2026.
27 421 0.199816588359 Azmi C. Özgen, 2026.
27 423 0.199824753048 Henry Cohn, 2026, needs more optimization.
27 428 0.199850875852 Henry Cohn, 2026, needs more optimization.
27 429 0.199954340284 Henry Cohn, 2026, needs more optimization.
27 430 0.199967339884 Henry Cohn, 2026, needs more optimization.
27 570 0.2 Kevin Li, 2026.
5⁢x−1
27 580 0.2 Henry Cohn, 2026.
5⁢x−1
27 581 0.200124129663 Azmi C. Özgen, 2026.
27 582 0.200659303177 Azmi C. Özgen, 2026.
27 583 0.200926834966 Azmi C. Özgen, 2026.
27 584 0.202068868720 Azmi C. Özgen, 2026.
27 585 0.202421119398 Azmi C. Özgen, 2026.
27 586 0.203475102079 Azmi C. Özgen, 2026.
27 587 0.204308228137 Azmi C. Özgen, 2026.
27 588 0.204787550590 Azmi C. Özgen, 2026.
27 589 0.205476042671 Azmi C. Özgen, 2026.
27 590 0.208015380416 Azmi C. Özgen, 2026.
27 591 0.208991195865 Azmi C. Özgen, 2026.
27 592 0.209970308009 Azmi C. Özgen, 2026.
27 593 0.211319157217 Azmi C. Özgen, 2026.
27 594 0.211330406876 Azmi C. Özgen, 2026.
27 595 0.212651941239 Azmi C. Özgen, 2026.
27 598 0.213111888649 Henry Cohn, 2026, needs more optimization.
27 600 0.214644822456 Henry Cohn, 2026, needs more optimization.
27 601 0.217218906811 Azmi C. Özgen, 2026.
27 602 0.218126937366 Azmi C. Özgen, 2026.
27 603 0.218967407992 Azmi C. Özgen, 2026.
27 607 0.219181303633 Henry Cohn, 2026, needs more optimization.
27 610 0.221075197796 Henry Cohn, 2026, needs more optimization.
27 611 0.229572621730 Henry Cohn, 2026, needs more optimization.
27 612 0.231211909343 Henry Cohn, 2026, needs more optimization.
27 639 0.233711730709 Kevin Li, 2026.
160⁢x2−16⁢x−5
27 666 0.233711730709 Henry Cohn, 2026.
160⁢x2−16⁢x−5
27 667 0.233729533598 Azmi C. Özgen, 2026.
27 668 0.233912546512 Azmi C. Özgen, 2026.
27 669 0.234020938394 Pavlos Moros, 2026.
27 670 0.234021038394 Azmi C. Özgen, 2026.
27 671 0.234148327840 Azmi C. Özgen, 2026.
27 672 0.234382685926 Azmi C. Özgen, 2026.
27 673 0.234786603643 Azmi C. Özgen, 2026.
27 674 0.235121596471 Azmi C. Özgen, 2026.
27 675 0.235551192809 Azmi C. Özgen, 2026.
27 676 0.235649707299 Azmi C. Özgen, 2026.
27 677 0.236189484899 Azmi C. Özgen, 2026.
27 678 0.238226016225 Azmi C. Özgen, 2026.
27 679 0.239582257850 Azmi C. Özgen, 2026.
27 680 0.240328741640 Azmi C. Özgen, 2026.
27 681 0.241454498697 Azmi C. Özgen, 2026.
27 682 0.243579269393 Azmi C. Özgen, 2026.
27 683 0.243591055402 Azmi C. Özgen, 2026.
27 684 0.243598286074 Azmi C. Özgen, 2026.
27 685 0.243601444415 Azmi C. Özgen, 2026.
27 686 0.243601846853 Azmi C. Özgen, 2026.
27 687 0.243683738304 Azmi C. Özgen, 2026.
27 688 0.243922561782 Azmi C. Özgen, 2026.
27 689 0.244078025391 Azmi C. Özgen, 2026.
27 690 0.244190043510 Azmi C. Özgen, 2026.
27 691 0.244341134048 Azmi C. Özgen, 2026.
27 692 0.244604066155 Azmi C. Özgen, 2026.
27 693 0.244886169554 Azmi C. Özgen, 2026.
27 694 0.244986232701 Azmi C. Özgen, 2026.
27 695 0.245243135584 Azmi C. Özgen, 2026.
27 696 0.245360263186 Azmi C. Özgen, 2026.
27 697 0.245422488933 Azmi C. Özgen, 2026.
27 698 0.245524113192 Azmi C. Özgen, 2026.
27 699 0.245691856955 Azmi C. Özgen, 2026.
27 700 0.246006044341 Azmi C. Özgen, 2026.
27 701 0.246199665480 Azmi C. Özgen, 2026.
27 702 0.246300837159 Azmi C. Özgen, 2026.
27 703 0.246341345252 Azmi C. Özgen, 2026.
27 704 0.246563960629 Azmi C. Özgen, 2026.
27 705 0.246578413929 Azmi C. Özgen, 2026.
27 706 0.246742855828 Azmi C. Özgen, 2026.
27 707 0.246750577225 Azmi C. Özgen, 2026.
27 708 0.247017418668 Azmi C. Özgen, 2026.
27 709 0.247106438337 Azmi C. Özgen, 2026.
27 710 0.247106438558 Azmi C. Özgen, 2026.
27 711 0.247240686925 Azmi C. Özgen, 2026.
27 712 0.247282298821 Azmi C. Özgen, 2026.
27 713 0.247394964496 Azmi C. Özgen, 2026.
27 714 0.247430370450 Azmi C. Özgen, 2026.
27 715 0.247459363596 Azmi C. Özgen, 2026.
27 716 0.247682990967 Azmi C. Özgen, 2026.
27 717 0.247687124923 Azmi C. Özgen, 2026.
27 718 0.247740186676 Azmi C. Özgen, 2026.
27 719 0.247746710864 Azmi C. Özgen, 2026.
27 720 0.247806373231 Azmi C. Özgen, 2026.
27 721 0.247906929563 Azmi C. Özgen, 2026.
27 722 0.248003974146 Azmi C. Özgen, 2026.
27 723 0.248111703537 Azmi C. Özgen, 2026.
27 724 0.248228495748 Azmi C. Özgen, 2026.
27 725 0.248235547946 Azmi C. Özgen, 2026.
27 726 0.248340083339 Azmi C. Özgen, 2026.
27 727 0.248408386548 Azmi C. Özgen, 2026.
27 728 0.248412774561 Azmi C. Özgen, 2026.
27 729 0.248510295160 Azmi C. Özgen, 2026.
27 730 0.248549328868 Azmi C. Özgen, 2026.
27 731 0.248640381256 Azmi C. Özgen, 2026.
27 732 0.248657665271 Azmi C. Özgen, 2026.
27 733 0.248731174998 Azmi C. Özgen, 2026.
27 734 0.248792992135 Azmi C. Özgen, 2026.
27 735 0.248890356932 Azmi C. Özgen, 2026.
27 736 0.248890357066 Azmi C. Özgen, 2026.
27 737 0.248948732426 Azmi C. Özgen, 2026.
27 738 0.249002950534 Azmi C. Özgen, 2026.
27 739 0.249087728571 Azmi C. Özgen, 2026.
27 740 0.249093179174 Azmi C. Özgen, 2026.
27 741 0.249126825207 Azmi C. Özgen, 2026.
27 742 0.249195348398 Robert Dallara, 2026.
27 743 0.249226993565 Azmi C. Özgen, 2026.
27 744 0.249254216905 Pavlos Moros, 2026.
27 745 0.249275039937 Pavlos Moros, 2026.
27 746 0.249275139938 Azmi C. Özgen, 2026.
27 747 0.249277647389 Azmi C. Özgen, 2026.
27 748 0.249277647541 Azmi C. Özgen, 2026.
27 749 0.249308620534 Azmi C. Özgen, 2026.
27 750 0.249332428596 Azmi C. Özgen, 2026.
27 751 0.249368955091 Pavlos Moros, 2026.
27 752 0.249370203384 Azmi C. Özgen, 2026.
27 753 0.249393666920 Azmi C. Özgen, 2026.
27 754 0.249456592371 Azmi C. Özgen, 2026.
27 755 0.249484426334 Azmi C. Özgen, 2026.
27 756 0.249526651955 Azmi C. Özgen, 2026.
27 757 0.249541588789 Azmi C. Özgen, 2026.
27 758 0.249542278026 Azmi C. Özgen, 2026.
27 759 0.249620307110 Azmi C. Özgen, 2026.
27 760 0.249628470514 Azmi C. Özgen, 2026.
27 761 0.249628486714 Azmi C. Özgen, 2026.
27 762 0.249651186498 Azmi C. Özgen, 2026.
27 763 0.249668759149 Azmi C. Özgen, 2026.
27 764 0.249696525416 Azmi C. Özgen, 2026.
27 971 0.25 Kevin Li, 2026.
4⁢x−1
27 974 0.251571758915 Henry Cohn, 2026, needs more optimization.
27 975 0.251995537614 Henry Cohn, 2026, needs more optimization.
27 976 0.252504436282 Azmi C. Özgen, 2026.
27 977 0.253038697668 Azmi C. Özgen, 2026.
27 978 0.253351066649 Azmi C. Özgen, 2026.
27 979 0.253446821858 Azmi C. Özgen, 2026.
27 981 0.253781389309 Henry Cohn, 2026, needs more optimization.
27 982 0.254560908190 Azmi C. Özgen, 2026.
27 983 0.254907288716 Azmi C. Özgen, 2026.
27 984 0.255101837029 Azmi C. Özgen, 2026.
27 985 0.255680344124 Azmi C. Özgen, 2026.
27 986 0.255827286831 Azmi C. Özgen, 2026.
27 988 0.255951552993 Henry Cohn, 2026, needs more optimization.
27 989 0.257225124725 Azmi C. Özgen, 2026.
27 990 0.257420592621 Azmi C. Özgen, 2026.
27 991 0.258119005301 Azmi C. Özgen, 2026.
27 992 0.258228063020 Azmi C. Özgen, 2026.
27 993 0.258633868882 Azmi C. Özgen, 2026.
27 994 0.258633869132 Azmi C. Özgen, 2026.
27 995 0.259013708841 Azmi C. Özgen, 2026.
27 996 0.259460897832 Azmi C. Özgen, 2026.
27 997 0.259812037478 Azmi C. Özgen, 2026.
27 998 0.259812042058 Azmi C. Özgen, 2026.
27 999 0.260339191605 Azmi C. Özgen, 2026.
27 1000 0.260614014369 Azmi C. Özgen, 2026.
27 1001 0.261145918358 Azmi C. Özgen, 2026.
27 1002 0.261710087109 Azmi C. Özgen, 2026.
27 1003 0.262141039376 Azmi C. Özgen, 2026.
27 1004 0.262451075331 Azmi C. Özgen, 2026.
27 1024 0.263299316186 Code with 1024 points in 26 dimensions.
60⁢x2−12⁢x−1
28 57 0.028627089329 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
18928⁢x3−784⁢x2−28⁢x+1
28 58 0.033333333334 H. Cohn, D. de Laat, and N. Leijenhorst, Optimality of spherical codes via exact semidefinite programming bounds, preprint, 2024, arXiv:2403.16874.
30⁢x−1
28 59 0.039154654938 Henry Cohn, 2026, needs more optimization.
28 60 0.039703378844 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
584⁢x2+2⁢x−1
28 61 0.039748128111 Henry Cohn, 2026.
Minimal polynomial listed in plain text data
28 62 0.044085883757 Azmi C. Özgen, 2026.
28 63 0.044845027070 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
28 64 0.045330588014 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
28 65 0.046120041619 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
28 66 0.047264906913 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
28 67 0.051619788656 Henry Cohn, 2026, needs more optimization.
28 69 0.051759500985 Henry Cohn, 2026, needs more optimization.
28 70 0.051797462893 Orthogonal union of 66 points in 26 dimensions and 4 points in 2 dimensions.
28 71 0.059062187940 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
28 72 0.060835023563 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
28 73 0.061831804060 Henry Cohn, 2026, needs more optimization.
28 74 0.062695841141 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
28 75 0.064355524312 Arhan Canli, 2026.
28 76 0.064711721886 Arhan Canli, 2026.
28 77 0.065629121966 Arhan Canli, 2026.
28 78 0.067202592064 Azmi C. Özgen, 2026.
28 79 0.069465959676 Azmi C. Özgen, 2026.
28 80 0.070903831678 Azmi C. Özgen, 2026.
28 81 0.072590685434 Azmi C. Özgen, 2026.
28 82 0.074337691888 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
28 83 0.074820220294 Henry Cohn, 2026, needs more optimization.
28 84 0.075885322103 Uploaded by anonymous internet user, 2026.
28 85 0.076602940402 Arhan Canli, 2026.
28 86 0.076706994830 Robert Dallara, 2026.
28 87 0.076797348293 Arhan Canli, 2026.
28 88 0.076919773146 Arhan Canli, 2026.
28 89 0.077191917895 Azmi C. Özgen, 2026.
28 90 0.077489903036 Henry Cohn, 2026, needs more optimization.
28 91 0.078281564565 Azmi C. Özgen, 2026.
28 92 0.078666583173 Azmi C. Özgen, 2026.
28 93 0.079138034024 Henry Cohn, 2026, needs more optimization.
28 94 0.079365980592 Arhan Canli, 2026.
28 95 0.079648670465 Arhan Canli, 2026.
28 96 0.079992636052 Arhan Canli, 2026.
28 97 0.080129735758 Azmi C. Özgen, 2026.
28 98 0.080355954632 Henry Cohn, 2026, needs more optimization.
28 99 0.080627458860 Arhan Canli, 2026.
28 101 0.080685003328 Henry Cohn, 2026.
575⁢x2−34⁢x−1
28 102 0.080895834154 Henry Cohn, 2026, needs more optimization.
28 103 0.083865706958 Azmi C. Özgen, 2026.
28 104 0.084694991404 Arhan Canli, 2026.
28 106 0.085822939728 Arhan Canli, 2026.
28 107 0.088553810157 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
28 108 0.088787490784 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
28 109 0.088932605003 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
28 110 0.089385419801 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
28 111 0.089487708662 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
28 112 0.089534762219 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
28 113 0.089790721709 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
28 114 0.089906129091 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
28 115 0.089948882583 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
28 116 0.090010904560 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
28 117 0.090758781032 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
28 118 0.090951875753 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
28 119 0.093149287430 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
28 120 0.095104870948 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
28 121 0.097103226846 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
28 122 0.098858918619 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
28 123 0.100616606620 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
28 124 0.102120218982 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
28 125 0.102410089941 Henry Cohn, 2026, needs more optimization.
28 127 0.102484734546 Henry Cohn, 2026.
3356⁢x2−100⁢x−25
28 128 0.102995415040 Henry Cohn, 2026, needs more optimization.
28 129 0.103072394974 Henry Cohn, 2026, needs more optimization.
28 130 0.103117909866 Arhan Canli, 2026.
28 131 0.104304868328 Arhan Canli, 2026.
28 132 0.105273589416 Henry Cohn, 2026, needs more optimization.
28 133 0.106243169269 Arhan Canli, 2026.
28 134 0.107678918160 Azmi C. Özgen, 2026.
28 135 0.108052980966 Azmi C. Özgen, 2026.
28 136 0.108958640265 Azmi C. Özgen, 2026.
28 137 0.109711281269 Azmi C. Özgen, 2026.
28 138 0.110642494273 Arhan Canli, 2026.
28 140 0.110891381754 Arhan Canli, 2026.
28 150 0.111111111112 Henry Cohn, 2026.
9⁢x−1
28 151 0.111556075883 Henry Cohn, 2026.
73⁢x2−44⁢x+4
28 152 0.116948610781 Henry Cohn, 2026.
28 153 0.119601963203 Azmi C. Özgen, 2026.
28 154 0.120288523318 Pavlos Moros, 2026.
28 155 0.123978773500 Azmi C. Özgen, 2026.
28 156 0.126303738532 Henry Cohn, 2026, needs more optimization.
28 157 0.127118106394 Pavlos Moros, 2026.
28 158 0.127596635041 Azmi C. Özgen, 2026.
28 159 0.127946106074 Henry Cohn, 2026, needs more optimization.
28 182 0.128238684469 Henry Cohn, 2026.
92⁢x2−4⁢x−1
28 183 0.130665724291 Henry Cohn, 2026.
676⁢x4−108⁢x3−56⁢x2+1
28 184 0.141516501874 Azmi C. Özgen, 2026.
28 185 0.142085486045 Azmi C. Özgen, 2026.
28 186 0.142104910367 Azmi C. Özgen, 2026.
28 187 0.142126502430 Azmi C. Özgen, 2026.
28 188 0.142149993247 Azmi C. Özgen, 2026.
28 189 0.142159820715 Azmi C. Özgen, 2026.
28 190 0.142202609578 Azmi C. Özgen, 2026.
28 191 0.142210769008 Azmi C. Özgen, 2026.
28 192 0.142300974095 Azmi C. Özgen, 2026.
28 193 0.142365699287 Azmi C. Özgen, 2026.
28 194 0.142396344776 Azmi C. Özgen, 2026.
28 195 0.142486845617 Henry Cohn, 2026, needs more optimization.
28 197 0.142630317036 Arhan Canli, 2026.
28 198 0.142762770773 Pavlos Moros, 2026.
28 201 0.142857142858 Kevin Li, 2026.
7⁢x−1
28 203 0.142857142858 Henry Cohn, 2026.
7⁢x−1
28 204 0.143504067176 Azmi C. Özgen, 2026.
28 205 0.145168393234 Azmi C. Özgen, 2026.
28 206 0.145806656225 Azmi C. Özgen, 2026.
28 207 0.145834392773 Azmi C. Özgen, 2026.
28 208 0.145917311544 Azmi C. Özgen, 2026.
28 209 0.145943769382 Azmi C. Özgen, 2026.
28 210 0.146046832637 Azmi C. Özgen, 2026.
28 211 0.146205265299 Azmi C. Özgen, 2026.
28 212 0.146378102229 Henry Cohn, 2026, needs more optimization.
28 213 0.146808768633 Azmi C. Özgen, 2026.
28 214 0.146955742422 Azmi C. Özgen, 2026.
28 215 0.147004254982 Azmi C. Özgen, 2026.
28 216 0.147081356344 Azmi C. Özgen, 2026.
28 217 0.147168625711 Azmi C. Özgen, 2026.
28 218 0.147293185968 Azmi C. Özgen, 2026.
28 219 0.147293427289 Azmi C. Özgen, 2026.
28 220 0.147294717768 Azmi C. Özgen, 2026.
28 221 0.147306364792 Azmi C. Özgen, 2026.
28 222 0.147506607099 Azmi C. Özgen, 2026.
28 223 0.147506747730 Azmi C. Özgen, 2026.
28 224 0.147518347764 Azmi C. Özgen, 2026.
28 226 0.147664433105 Azmi C. Özgen, 2026.
28 227 0.147682568366 Azmi C. Özgen, 2026.
28 228 0.147852514644 Azmi C. Özgen, 2026.
28 229 0.148206760148 Azmi C. Özgen, 2026.
28 230 0.148857890962 Azmi C. Özgen, 2026.
28 231 0.148995808119 Azmi C. Özgen, 2026.
28 232 0.148998862120 Pavlos Moros, 2026.
28 233 0.149188724183 Azmi C. Özgen, 2026.
28 234 0.149236302870 Azmi C. Özgen, 2026.
28 235 0.149281731452 Henry Cohn, 2026, needs more optimization.
28 236 0.149321969892 Henry Cohn, 2026, needs more optimization.
28 237 0.149321969906 Henry Cohn, 2026, needs more optimization.
28 238 0.149322069316 Azmi C. Özgen, 2026.
28 239 0.149335201853 Azmi C. Özgen, 2026.
28 240 0.149904480231 Azmi C. Özgen, 2026.
28 241 0.150628394552 Azmi C. Özgen, 2026.
28 242 0.151540374344 Arhan Canli, 2026.
28 243 0.152477109284 Azmi C. Özgen, 2026.
28 244 0.154123890473 Azmi C. Özgen, 2026.
28 245 0.155214389571 Azmi C. Özgen, 2026.
28 247 0.156455080535 Arhan Canli, 2026.
28 248 0.157615585154 Azmi C. Özgen, 2026.
28 249 0.158605799459 Azmi C. Özgen, 2026.
28 250 0.159955112717 Azmi C. Özgen, 2026.
28 251 0.161221111463 Azmi C. Özgen, 2026.
28 252 0.161998705320 Azmi C. Özgen, 2026.
28 253 0.162021165362 Azmi C. Özgen, 2026.
28 254 0.162029749983 Azmi C. Özgen, 2026.
28 255 0.162126398227 Azmi C. Özgen, 2026.
28 256 0.162312085601 Azmi C. Özgen, 2026.
28 257 0.162617872962 Azmi C. Özgen, 2026.
28 258 0.162855685789 Azmi C. Özgen, 2026.
28 259 0.163013033682 Azmi C. Özgen, 2026.
28 260 0.163314918334 Henry Cohn, 2026, needs more optimization.
28 262 0.163553232501 Henry Cohn, 2026, needs more optimization.
28 263 0.163799313015 Azmi C. Özgen, 2026.
28 264 0.164048560004 Azmi C. Özgen, 2026.
28 265 0.164233906290 Azmi C. Özgen, 2026.
28 266 0.164250753354 Azmi C. Özgen, 2026.
28 267 0.164410911947 Azmi C. Özgen, 2026.
28 268 0.164574882695 Azmi C. Özgen, 2026.
28 269 0.164681757600 Azmi C. Özgen, 2026.
28 270 0.164791990312 Azmi C. Özgen, 2026.
28 271 0.164844231279 Azmi C. Özgen, 2026.
28 272 0.165005136244 Azmi C. Özgen, 2026.
28 273 0.165093239331 Azmi C. Özgen, 2026.
28 274 0.165209293405 Azmi C. Özgen, 2026.
28 275 0.165248433714 Azmi C. Özgen, 2026.
28 276 0.165384562707 Azmi C. Özgen, 2026.
28 277 0.165433858116 Azmi C. Özgen, 2026.
28 278 0.165511987692 Azmi C. Özgen, 2026.
28 279 0.165577379382 Azmi C. Özgen, 2026.
28 280 0.165621112487 Azmi C. Özgen, 2026.
28 281 0.165651298436 Azmi C. Özgen, 2026.
28 282 0.165695987097 Azmi C. Özgen, 2026.
28 283 0.165771363972 Azmi C. Özgen, 2026.
28 284 0.165818572215 Azmi C. Özgen, 2026.
28 285 0.165857147516 Azmi C. Özgen, 2026.
28 286 0.165979921343 Azmi C. Özgen, 2026.
28 287 0.166012122198 Azmi C. Özgen, 2026.
28 288 0.166111551479 Azmi C. Özgen, 2026.
28 289 0.166203126702 Azmi C. Özgen, 2026.
28 290 0.166207184507 Azmi C. Özgen, 2026.
28 291 0.166252323421 Azmi C. Özgen, 2026.
28 292 0.166277092922 Azmi C. Özgen, 2026.
28 293 0.166322188502 Azmi C. Özgen, 2026.
28 294 0.166355578460 Azmi C. Özgen, 2026.
28 295 0.166359469921 Azmi C. Özgen, 2026.
28 296 0.166372098468 Azmi C. Özgen, 2026.
28 297 0.166420418047 Azmi C. Özgen, 2026.
28 298 0.166450102592 Azmi C. Özgen, 2026.
28 299 0.166477089355 Azmi C. Özgen, 2026.
28 300 0.166489226469 Azmi C. Özgen, 2026.
28 301 0.166522006164 Azmi C. Özgen, 2026.
28 302 0.166546070698 Azmi C. Özgen, 2026.
28 303 0.166660004289 Azmi C. Özgen, 2026.
28 304 0.166660368228 Azmi C. Özgen, 2026.
28 305 0.166660747930 Azmi C. Özgen, 2026.
28 306 0.166661210744 Azmi C. Özgen, 2026.
28 307 0.166661791178 Pavlos Moros, 2026.
28 315 0.166666666667 Kevin Li, 2026.
6⁢x−1
28 330 0.166666666667 Henry Cohn, 2026.
6⁢x−1
28 331 0.168653785328 Azmi C. Özgen, 2026.
28 332 0.168926831424 Azmi C. Özgen, 2026.
28 333 0.170669313593 Azmi C. Özgen, 2026.
28 334 0.171269306918 Azmi C. Özgen, 2026.
28 335 0.171349472281 Azmi C. Özgen, 2026.
28 336 0.171393525850 Azmi C. Özgen, 2026.
28 337 0.171499880631 Azmi C. Özgen, 2026.
28 338 0.171550453254 Azmi C. Özgen, 2026.
28 339 0.172371511106 Azmi C. Özgen, 2026.
28 340 0.175759073807 Azmi C. Özgen, 2026.
28 341 0.176083295474 Azmi C. Özgen, 2026.
28 342 0.178367046343 Azmi C. Özgen, 2026.
28 343 0.180569318131 Azmi C. Özgen, 2026.
28 344 0.181545559776 Azmi C. Özgen, 2026.
28 345 0.181548576765 Azmi C. Özgen, 2026.
28 346 0.181646969779 Azmi C. Özgen, 2026.
28 347 0.181648049799 Azmi C. Özgen, 2026.
28 348 0.181756701364 Azmi C. Özgen, 2026.
28 349 0.181814930035 Azmi C. Özgen, 2026.
28 350 0.181834448620 Azmi C. Özgen, 2026.
28 351 0.181944239478 Azmi C. Özgen, 2026.
28 352 0.182238572241 Henry Cohn, 2026, needs more optimization.
28 353 0.182530654855 Azmi C. Özgen, 2026.
28 354 0.183446061712 Azmi C. Özgen, 2026.
28 355 0.183958007396 Azmi C. Özgen, 2026.
28 356 0.184505361743 Azmi C. Özgen, 2026.
28 357 0.184964355075 Azmi C. Özgen, 2026.
28 358 0.185208455742 Henry Cohn, 2026, needs more optimization.
28 359 0.185935236467 Azmi C. Özgen, 2026.
28 360 0.186352747532 Azmi C. Özgen, 2026.
28 361 0.187033530950 Azmi C. Özgen, 2026.
28 362 0.187554325896 Henry Cohn, 2026, needs more optimization.
28 363 0.188204019575 Azmi C. Özgen, 2026.
28 364 0.188442983321 Henry Cohn, 2026, needs more optimization.
28 365 0.192281987883 Azmi C. Özgen, 2026.
28 366 0.192380278863 Azmi C. Özgen, 2026.
28 367 0.192527687074 Azmi C. Özgen, 2026.
28 368 0.192743635491 Azmi C. Özgen, 2026.
28 369 0.193062675463 Azmi C. Özgen, 2026.
28 370 0.193143092011 Azmi C. Özgen, 2026.
28 373 0.193331868832 Henry Cohn, 2026, needs more optimization.
28 374 0.193623157393 Henry Cohn, 2026, needs more optimization.
28 375 0.194092097905 Azmi C. Özgen, 2026.
28 377 0.194248083653 Henry Cohn, 2026, needs more optimization.
28 378 0.194680128659 Azmi C. Özgen, 2026.
28 379 0.194788684032 Azmi C. Özgen, 2026.
28 380 0.195011496989 Azmi C. Özgen, 2026.
28 381 0.195228937545 Azmi C. Özgen, 2026.
28 382 0.195437573586 Azmi C. Özgen, 2026.
28 383 0.195680642511 Azmi C. Özgen, 2026.
28 384 0.195772389212 Pavlos Moros, 2026.
28 385 0.195879501160 Azmi C. Özgen, 2026.
28 386 0.195933771275 Azmi C. Özgen, 2026.
28 387 0.196142260082 Azmi C. Özgen, 2026.
28 388 0.196246184022 Azmi C. Özgen, 2026.
28 390 0.196362186452 Henry Cohn, 2026, needs more optimization.
28 391 0.196674123809 Azmi C. Özgen, 2026.
28 392 0.196717399505 Azmi C. Özgen, 2026.
28 393 0.196834840776 Azmi C. Özgen, 2026.
28 394 0.197030709039 Azmi C. Özgen, 2026.
28 395 0.197078241232 Azmi C. Özgen, 2026.
28 396 0.197100353027 Azmi C. Özgen, 2026.
28 397 0.197160175663 Azmi C. Özgen, 2026.
28 398 0.197254960424 Azmi C. Özgen, 2026.
28 399 0.197372461273 Azmi C. Özgen, 2026.
28 400 0.197490306022 Azmi C. Özgen, 2026.
28 401 0.197634147869 Azmi C. Özgen, 2026.
28 402 0.197721680737 Azmi C. Özgen, 2026.
28 403 0.197831564913 Azmi C. Özgen, 2026.
28 404 0.197929171753 Azmi C. Özgen, 2026.
28 405 0.197951519622 Azmi C. Özgen, 2026.
28 406 0.197963916367 Azmi C. Özgen, 2026.
28 407 0.198095006688 Azmi C. Özgen, 2026.
28 410 0.198175510898 Henry Cohn, 2026, needs more optimization.
28 411 0.198388962372 Azmi C. Özgen, 2026.
28 412 0.198405902389 Azmi C. Özgen, 2026.
28 413 0.198447141751 Azmi C. Özgen, 2026.
28 417 0.198531137271 Henry Cohn, 2026, needs more optimization.
28 418 0.198818885866 Azmi C. Özgen, 2026.
28 424 0.198828513383 Henry Cohn, 2026, needs more optimization.
28 425 0.198949375516 Henry Cohn, 2026, needs more optimization.
28 427 0.199087518088 Henry Cohn, 2026, needs more optimization.
28 428 0.199228242153 Azmi C. Özgen, 2026.
28 429 0.199247176429 Azmi C. Özgen, 2026.
28 430 0.199306836174 Azmi C. Özgen, 2026.
28 431 0.199354483576 Azmi C. Özgen, 2026.
28 432 0.199391496314 Azmi C. Özgen, 2026.
28 433 0.199396039987 Azmi C. Özgen, 2026.
28 434 0.199445998890 Azmi C. Özgen, 2026.
28 438 0.199458091165 Henry Cohn, 2026, needs more optimization.
28 439 0.199575698119 Azmi C. Özgen, 2026.
28 440 0.199592090649 Azmi C. Özgen, 2026.
28 441 0.199614372023 Azmi C. Özgen, 2026.
28 442 0.199633402592 Azmi C. Özgen, 2026.
28 443 0.199650773539 Azmi C. Özgen, 2026.
28 444 0.199654861579 Azmi C. Özgen, 2026.
28 445 0.199674792714 Azmi C. Özgen, 2026.
28 446 0.199717057296 Azmi C. Özgen, 2026.
28 447 0.199748034699 Azmi C. Özgen, 2026.
28 448 0.199750049837 Azmi C. Özgen, 2026.
28 449 0.199786135952 Azmi C. Özgen, 2026.
28 450 0.199798263043 Azmi C. Özgen, 2026.
28 451 0.199803158734 Azmi C. Özgen, 2026.
28 453 0.199813364240 Henry Cohn, 2026, needs more optimization.
28 454 0.199824084480 Azmi C. Özgen, 2026.
28 455 0.199838412908 Pavlos Moros, 2026.
28 456 0.199848164781 Azmi C. Özgen, 2026.
28 457 0.199858860372 Azmi C. Özgen, 2026.
28 458 0.199871252817 Azmi C. Özgen, 2026.
28 459 0.199873070897 Azmi C. Özgen, 2026.
28 460 0.199894339929 Azmi C. Özgen, 2026.
28 461 0.199894519094 Azmi C. Özgen, 2026.
28 462 0.199944588092 Henry Cohn, 2026, needs more optimization.
28 577 0.2 Kevin Li, 2026.
5⁢x−1
28 591 0.2 Henry Cohn, 2026.
5⁢x−1
28 592 0.200113770833 Henry Cohn, 2026, needs more optimization.
28 593 0.200525379514 Azmi C. Özgen, 2026.
28 594 0.200746032971 Azmi C. Özgen, 2026.
28 595 0.201142787426 Azmi C. Özgen, 2026.
28 597 0.201565321369 Henry Cohn, 2026, needs more optimization.
28 598 0.202635224001 Azmi C. Özgen, 2026.
28 600 0.203399478350 Henry Cohn, 2026, needs more optimization.
28 601 0.204561425332 Azmi C. Özgen, 2026.
28 602 0.205577464115 Azmi C. Özgen, 2026.
28 603 0.205922461757 Azmi C. Özgen, 2026.
28 604 0.206717354413 Azmi C. Özgen, 2026.
28 605 0.207225358236 Azmi C. Özgen, 2026.
28 606 0.207827750097 Azmi C. Özgen, 2026.
28 607 0.208660446199 Azmi C. Özgen, 2026.
28 608 0.209670856646 Azmi C. Özgen, 2026.
28 609 0.210619907400 Azmi C. Özgen, 2026.
28 610 0.211006319399 Azmi C. Özgen, 2026.
28 611 0.211566619678 Azmi C. Özgen, 2026.
28 612 0.212408534343 Azmi C. Özgen, 2026.
28 613 0.212977021679 Azmi C. Özgen, 2026.
28 614 0.213825465816 Azmi C. Özgen, 2026.
28 615 0.214612644846 Azmi C. Özgen, 2026.
28 616 0.215380315598 Azmi C. Özgen, 2026.
28 617 0.216036610717 Azmi C. Özgen, 2026.
28 618 0.216584769921 Azmi C. Özgen, 2026.
28 619 0.217280438953 Azmi C. Özgen, 2026.
28 620 0.217919820439 Azmi C. Özgen, 2026.
28 621 0.218470012649 Azmi C. Özgen, 2026.
28 622 0.219035560285 Azmi C. Özgen, 2026.
28 623 0.219713623387 Azmi C. Özgen, 2026.
28 631 0.220029208296 Henry Cohn, 2026, needs more optimization.
28 632 0.223012391499 Azmi C. Özgen, 2026.
28 637 0.223128403001 Henry Cohn, 2026, needs more optimization.
28 640 0.224226384746 Henry Cohn, 2026, needs more optimization.
28 641 0.226751978635 Azmi C. Özgen, 2026.
28 645 0.226766160945 Henry Cohn, 2026, needs more optimization.
28 646 0.228448803855 Azmi C. Özgen, 2026.
28 647 0.228931912920 Azmi C. Özgen, 2026.
28 648 0.229346218389 Azmi C. Özgen, 2026.
28 649 0.229767219719 Azmi C. Özgen, 2026.
28 650 0.229989034196 Azmi C. Özgen, 2026.
28 651 0.230310190205 Azmi C. Özgen, 2026.
28 652 0.230578286105 Azmi C. Özgen, 2026.
28 653 0.230849806465 Azmi C. Özgen, 2026.
28 654 0.231079649344 Azmi C. Özgen, 2026.
28 655 0.231385029530 Azmi C. Özgen, 2026.
28 656 0.231693052400 Azmi C. Özgen, 2026.
28 657 0.232003787410 Azmi C. Özgen, 2026.
28 658 0.232289620124 Azmi C. Özgen, 2026.
28 659 0.232480923399 Azmi C. Özgen, 2026.
28 660 0.232722935587 Azmi C. Özgen, 2026.
28 661 0.232959238529 Azmi C. Özgen, 2026.
28 662 0.233204903258 Azmi C. Özgen, 2026.
28 689 0.233711730622 Henry Cohn, 2026, needs more optimization.
28 690 0.233752322959 Azmi C. Özgen, 2026.
28 691 0.233771203238 Azmi C. Özgen, 2026.
28 692 0.233832071814 Azmi C. Özgen, 2026.
28 693 0.233908548151 Azmi C. Özgen, 2026.
28 694 0.235548512382 Azmi C. Özgen, 2026.
28 695 0.236315587741 Azmi C. Özgen, 2026.
28 696 0.237002629359 Azmi C. Özgen, 2026.
28 697 0.237957057107 Azmi C. Özgen, 2026.
28 698 0.239604520058 Azmi C. Özgen, 2026.
28 699 0.239609245080 Azmi C. Özgen, 2026.
28 700 0.239921056237 Azmi C. Özgen, 2026.
28 701 0.240074923570 Azmi C. Özgen, 2026.
28 702 0.240078705223 Azmi C. Özgen, 2026.
28 703 0.240254562106 Azmi C. Özgen, 2026.
28 704 0.240366683494 Azmi C. Özgen, 2026.
28 705 0.240583068164 Azmi C. Özgen, 2026.
28 706 0.240815575469 Azmi C. Özgen, 2026.
28 707 0.240893287044 Azmi C. Özgen, 2026.
28 708 0.241061453727 Azmi C. Özgen, 2026.
28 709 0.241065138876 Azmi C. Özgen, 2026.
28 710 0.241229938876 Azmi C. Özgen, 2026.
28 711 0.241645210996 Azmi C. Özgen, 2026.
28 712 0.241973623896 Azmi C. Özgen, 2026.
28 713 0.242153977553 Azmi C. Özgen, 2026.
28 714 0.242325821877 Azmi C. Özgen, 2026.
28 715 0.242404116056 Azmi C. Özgen, 2026.
28 716 0.242532565586 Azmi C. Özgen, 2026.
28 717 0.242639788633 Azmi C. Özgen, 2026.
28 718 0.242859486555 Azmi C. Özgen, 2026.
28 719 0.243052844133 Azmi C. Özgen, 2026.
28 720 0.243158532603 Azmi C. Özgen, 2026.
28 721 0.243161940920 Azmi C. Özgen, 2026.
28 722 0.243665520054 Azmi C. Özgen, 2026.
28 723 0.243844008918 Henry Cohn, 2026, needs more optimization.
28 724 0.245371383322 Azmi C. Özgen, 2026.
28 725 0.246292504143 Azmi C. Özgen, 2026.
28 740 0.247285096456 Henry Cohn, 2026, needs more optimization.
28 747 0.247908775104 Henry Cohn, 2026, needs more optimization.
28 748 0.248298572904 Azmi C. Özgen, 2026.
28 749 0.248363300676 Azmi C. Özgen, 2026.
28 750 0.248412507084 Azmi C. Özgen, 2026.
28 751 0.248461604182 Azmi C. Özgen, 2026.
28 752 0.248503436369 Azmi C. Özgen, 2026.
28 759 0.248553512101 Henry Cohn, 2026, needs more optimization.
28 760 0.248778777197 Azmi C. Özgen, 2026.
28 761 0.248832076836 Azmi C. Özgen, 2026.
28 762 0.248855749579 Azmi C. Özgen, 2026.
28 766 0.248869088375 Henry Cohn, 2026, needs more optimization.
28 767 0.249030015537 Azmi C. Özgen, 2026.
28 768 0.249050763508 Azmi C. Özgen, 2026.
28 769 0.249078194939 Azmi C. Özgen, 2026.
28 770 0.249084735259 Azmi C. Özgen, 2026.
28 771 0.249086357553 Azmi C. Özgen, 2026.
28 772 0.249128506450 Azmi C. Özgen, 2026.
28 773 0.249168136638 Azmi C. Özgen, 2026.
28 774 0.249190752744 Azmi C. Özgen, 2026.
28 775 0.249198784406 Azmi C. Özgen, 2026.
28 776 0.249223877377 Azmi C. Özgen, 2026.
28 777 0.249246435273 Azmi C. Özgen, 2026.
28 782 0.249249376417 Henry Cohn, 2026, needs more optimization.
28 783 0.249358372288 Azmi C. Özgen, 2026.
28 784 0.249376157792 Azmi C. Özgen, 2026.
28 785 0.249387768432 Azmi C. Özgen, 2026.
28 786 0.249387768546 Henry Cohn, 2026, needs more optimization.
28 787 0.249387778619 Azmi C. Özgen, 2026.
28 788 0.249410417520 Azmi C. Özgen, 2026.
28 789 0.249429065437 Azmi C. Özgen, 2026.
28 791 0.249434539749 Henry Cohn, 2026, needs more optimization.
28 792 0.249434540065 Henry Cohn, 2026, needs more optimization.
28 793 0.249461147375 Azmi C. Özgen, 2026.
28 794 0.249498743612 Azmi C. Özgen, 2026.
28 795 0.249509951233 Azmi C. Özgen, 2026.
28 796 0.249513499537 Azmi C. Özgen, 2026.
28 797 0.249530310493 Azmi C. Özgen, 2026.
28 798 0.249551070189 Azmi C. Özgen, 2026.
28 799 0.249551085147 Azmi C. Özgen, 2026.
28 801 0.249569468492 Henry Cohn, 2026, needs more optimization.
28 802 0.249583435539 Azmi C. Özgen, 2026.
28 803 0.249592693321 Azmi C. Özgen, 2026.
28 804 0.249594083870 Azmi C. Özgen, 2026.
28 805 0.249624864468 Azmi C. Özgen, 2026.
28 806 0.249624873279 Azmi C. Özgen, 2026.
28 807 0.249647635488 Azmi C. Özgen, 2026.
28 808 0.249647635540 Azmi C. Özgen, 2026.
28 809 0.249647647012 Azmi C. Özgen, 2026.
28 810 0.249662084283 Azmi C. Özgen, 2026.
28 811 0.249675054780 Azmi C. Özgen, 2026.
28 812 0.249693430274 Azmi C. Özgen, 2026.
28 813 0.249697480754 Azmi C. Özgen, 2026.
28 814 0.249697487262 Azmi C. Özgen, 2026.
28 815 0.249697493767 Azmi C. Özgen, 2026.
28 816 0.249713874432 Azmi C. Özgen, 2026.
28 817 0.249739867122 Azmi C. Özgen, 2026.
28 818 0.249739875179 Azmi C. Özgen, 2026.
28 819 0.249741632599 Azmi C. Özgen, 2026.
28 820 0.249741638606 Azmi C. Özgen, 2026.
28 821 0.249752639507 Azmi C. Özgen, 2026.
28 822 0.249770853606 Azmi C. Özgen, 2026.
28 823 0.249783023856 Azmi C. Özgen, 2026.
28 824 0.249791058950 Azmi C. Özgen, 2026.
28 825 0.249791066832 Azmi C. Özgen, 2026.
28 1011 0.25 Kevin Li, 2026.
4⁢x−1
28 1012 0.250630262395 Azmi C. Özgen, 2026.
28 1013 0.250870130809 Azmi C. Özgen, 2026.
28 1014 0.251109421896 Azmi C. Özgen, 2026.
28 1015 0.251218130941 Azmi C. Özgen, 2026.
28 1016 0.251563349832 Azmi C. Özgen, 2026.
28 1017 0.251818521401 Azmi C. Özgen, 2026.
28 1018 0.252172717551 Azmi C. Özgen, 2026.
28 1019 0.252491616657 Azmi C. Özgen, 2026.
28 1020 0.252783953970 Azmi C. Özgen, 2026.
28 1021 0.252907056259 Azmi C. Özgen, 2026.
28 1022 0.253022605225 Azmi C. Özgen, 2026.
28 1023 0.253312248989 Azmi C. Özgen, 2026.
28 1024 0.253626800027 Azmi C. Özgen, 2026.
29 59 0.027727451354 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
21141⁢x3−841⁢x2−29⁢x+1
29 60 0.032282791684 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
29 61 0.038071935455 Robert Dallara, 2026.
29 62 0.038918955727 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
29 63 0.039552183365 Henry Cohn, 2026.
224624⁢x4+24312⁢x3+287⁢x2−38⁢x−1
29 64 0.043272075045 Henry Cohn, 2026.
29 65 0.044519815142 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
29 66 0.044587130463 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
29 67 0.044624391459 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
29 68 0.046023717623 Henry Cohn, 2026.
29 69 0.049612366106 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
29 70 0.049845182464 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
29 71 0.051511066994 Henry Cohn, 2026, needs more optimization.
29 72 0.051797462893 Azmi C. Özgen, 2026.
29 73 0.057482024267 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
29 74 0.058935627645 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
29 75 0.060441863195 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
29 76 0.061466497280 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
29 77 0.063060598750 Azmi C. Özgen, 2026.
29 78 0.063546098480 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
29 79 0.063943801621 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
29 80 0.065656892089 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
29 81 0.066913334526 Azmi C. Özgen, 2026.
29 82 0.068320285010 Arhan Canli, 2026.
29 83 0.070354748371 Arhan Canli, 2026.
29 84 0.072118320579 Azmi C. Özgen, 2026.
29 85 0.073285636207 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
29 86 0.074201966329 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
29 87 0.075178073621 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
29 88 0.075900497338 Henry Cohn, 2026, needs more optimization.
29 89 0.076430985223 Arhan Canli, 2026.
29 90 0.076725233813 Azmi C. Özgen, 2026.
29 91 0.076947900626 Arhan Canli, 2026.
29 92 0.077121865722 Henry Cohn, 2026, needs more optimization.
29 93 0.077122857675 Henry Cohn, 2026, needs more optimization.
29 94 0.077501825512 Henry Cohn, 2026, needs more optimization.
29 95 0.077852556639 Henry Cohn, 2026, needs more optimization.
29 96 0.078168008709 Azmi C. Özgen, 2026.
29 97 0.078628973656 Henry Cohn, 2026, needs more optimization.
29 98 0.078644933819 Henry Cohn, 2026, needs more optimization.
29 99 0.079076875051 Azmi C. Özgen, 2026.
29 100 0.079319388988 Henry Cohn, 2026, needs more optimization.
29 101 0.080084855593 Henry Cohn, 2026, needs more optimization.
29 102 0.080258067627 Arhan Canli, 2026.
29 103 0.080647450869 Arhan Canli, 2026.
29 104 0.080662272982 Arhan Canli, 2026.
29 105 0.080684994038 Henry Cohn, 2026, needs more optimization.
29 106 0.081926033234 Azmi C. Özgen, 2026.
29 107 0.082606002115 Henry Cohn, 2026, needs more optimization.
29 108 0.084639570163 Henry Cohn, 2026, needs more optimization.
29 112 0.086333380579 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001, Example 5.10.1.
111⁢x2+2⁢x−1
29 113 0.088700086956 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
29 114 0.088769592974 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
29 115 0.089056602041 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
29 116 0.089320330169 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
29 117 0.089469667450 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
29 118 0.089902841268 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
29 119 0.090203625496 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
29 120 0.090311537242 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
29 121 0.090767006340 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
29 122 0.091041620068 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
29 123 0.092780735218 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
29 124 0.093674902246 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
29 125 0.095723876548 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
29 126 0.096361306781 Henry Cohn, 2026, needs more optimization.
29 127 0.096361306832 Henry Cohn, 2026, needs more optimization.
29 128 0.097360563242 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
29 129 0.098306729618 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
29 130 0.098418299395 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
29 131 0.098487059083 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
29 132 0.098677369824 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
29 133 0.100095680417 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
29 134 0.100127442523 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
29 135 0.101944715003 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
29 136 0.102653973962 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
29 137 0.105085480974 Henry Cohn, 2026, needs more optimization.
29 138 0.106235214268 Azmi C. Özgen, 2026.
29 139 0.107319183697 Azmi C. Özgen, 2026.
29 140 0.107979964429 Azmi C. Özgen, 2026.
29 141 0.108626442244 Azmi C. Özgen, 2026.
29 142 0.109372119164 Azmi C. Özgen, 2026.
29 143 0.110082236861 Azmi C. Özgen, 2026.
29 144 0.110690455893 Pavlos Moros, 2026.
29 145 0.110701844288 Vadim Borisov, 2026, https://numaro.tech/.
29 146 0.111106257597 Pavlos Moros, 2026.
29 147 0.111106907257 Henry Cohn, 2026, needs more optimization.
29 148 0.111109118635 Henry Cohn, 2026, needs more optimization.
29 149 0.111110147393 Arhan Canli, 2026.
29 150 0.111110329613 Henry Cohn, 2026, needs more optimization.
29 154 0.111111111112 Henry Cohn, 2026.
9⁢x−1
29 155 0.112078774335 Azmi C. Özgen, 2026.
29 156 0.113915504517 Azmi C. Özgen, 2026.
29 157 0.117782317635 Azmi C. Özgen, 2026.
29 158 0.118504178511 Azmi C. Özgen, 2026.
29 159 0.120572063519 Henry Cohn, 2026, needs more optimization.
29 160 0.121289732862 Azmi C. Özgen, 2026.
29 161 0.122322176589 Azmi C. Özgen, 2026.
29 162 0.124337217085 Henry Cohn, 2026, needs more optimization.
29 163 0.125652130028 Azmi C. Özgen, 2026.
29 164 0.126052641147 Azmi C. Özgen, 2026.
29 165 0.126264962391 Henry Cohn, 2026, needs more optimization.
29 166 0.128052551780 Henry Cohn, 2026, needs more optimization.
29 185 0.128238684469 Henry Cohn, 2026.
92⁢x2−4⁢x−1
29 186 0.129183702781 Pavlos Moros, 2026.
29 187 0.131011020701 Azmi C. Özgen, 2026.
29 200 0.131426074480 Azmi C. Özgen, 2026.
29 201 0.134386064640 Azmi C. Özgen, 2026.
29 202 0.137810584870 Azmi C. Özgen, 2026.
29 203 0.141183591792 Azmi C. Özgen, 2026.
29 204 0.142415563098 Azmi C. Özgen, 2026.
29 205 0.142511799911 Azmi C. Özgen, 2026.
29 206 0.142562689036 Azmi C. Özgen, 2026.
29 207 0.142841453867 Azmi C. Özgen, 2026.
29 209 0.142857142858 Kevin Li, 2026.
7⁢x−1
29 210 0.142857142858 Henry Cohn, 2026.
7⁢x−1
29 211 0.144077683473 Pavlos Moros, 2026.
29 212 0.144941136879 Azmi C. Özgen, 2026.
29 213 0.145093049954 Azmi C. Özgen, 2026.
29 214 0.145200551593 Azmi C. Özgen, 2026.
29 215 0.145524315224 Azmi C. Özgen, 2026.
29 216 0.145546535466 Pavlos Moros, 2026.
29 217 0.145645210345 Azmi C. Özgen, 2026.
29 218 0.145859669753 Azmi C. Özgen, 2026.
29 219 0.146015846756 Azmi C. Özgen, 2026.
29 220 0.146151119857 Azmi C. Özgen, 2026.
29 221 0.146355790313 Azmi C. Özgen, 2026.
29 222 0.146545478375 Azmi C. Özgen, 2026.
29 223 0.146664844485 Azmi C. Özgen, 2026.
29 224 0.146719105796 Azmi C. Özgen, 2026.
29 225 0.146862370246 Azmi C. Özgen, 2026.
29 235 0.147102976680 Henry Cohn, 2026.
87⁢x2−6⁢x−1
29 236 0.147787001126 Azmi C. Özgen, 2026.
29 238 0.147845827028 Azmi C. Özgen, 2026.
29 240 0.147982610080 Henry Cohn, 2026.
2831⁢x2−250⁢x−25
29 241 0.148118063583 Azmi C. Özgen, 2026.
29 242 0.148370022433 Henry Cohn, 2026, needs more optimization.
29 243 0.148704829003 Azmi C. Özgen, 2026.
29 244 0.148916916922 Pavlos Moros, 2026.
29 245 0.149341788192 Azmi C. Özgen, 2026.
29 246 0.149951363353 Azmi C. Özgen, 2026.
29 247 0.150218105768 Azmi C. Özgen, 2026.
29 248 0.150522333575 Azmi C. Özgen, 2026.
29 249 0.150707657370 Henry Cohn, 2026, needs more optimization.
29 250 0.151712376392 Azmi C. Özgen, 2026.
29 251 0.152154593694 Azmi C. Özgen, 2026.
29 252 0.153198390676 Azmi C. Özgen, 2026.
29 253 0.153811492540 Azmi C. Özgen, 2026.
29 254 0.155171390233 Azmi C. Özgen, 2026.
29 255 0.156018913037 Azmi C. Özgen, 2026.
29 256 0.156507588836 Azmi C. Özgen, 2026.
29 257 0.157386225753 Azmi C. Özgen, 2026.
29 258 0.158214176586 Azmi C. Özgen, 2026.
29 259 0.158858602715 Azmi C. Özgen, 2026.
29 260 0.158979640144 Azmi C. Özgen, 2026.
29 261 0.159863759758 Azmi C. Özgen, 2026.
29 262 0.160793533620 Azmi C. Özgen, 2026.
29 263 0.161796270115 Azmi C. Özgen, 2026.
29 264 0.162185691193 Azmi C. Özgen, 2026.
29 265 0.162214457168 Azmi C. Özgen, 2026.
29 266 0.162351833743 Azmi C. Özgen, 2026.
29 267 0.162359513032 Azmi C. Özgen, 2026.
29 268 0.162370377004 Azmi C. Özgen, 2026.
29 269 0.162531384774 Henry Cohn, 2026, needs more optimization.
29 271 0.162545749066 Henry Cohn, 2026, needs more optimization.
29 272 0.162851170604 Azmi C. Özgen, 2026.
29 273 0.163257197395 Azmi C. Özgen, 2026.
29 274 0.163348317132 Azmi C. Özgen, 2026.
29 275 0.163490063441 Azmi C. Özgen, 2026.
29 276 0.163561789939 Azmi C. Özgen, 2026.
29 277 0.163641056752 Azmi C. Özgen, 2026.
29 278 0.163759851763 Azmi C. Özgen, 2026.
29 279 0.163866033538 Azmi C. Özgen, 2026.
29 280 0.163948085840 Azmi C. Özgen, 2026.
29 281 0.164067063487 Azmi C. Özgen, 2026.
29 282 0.164292836861 Azmi C. Özgen, 2026.
29 283 0.164428442412 Azmi C. Özgen, 2026.
29 284 0.164529903189 Azmi C. Özgen, 2026.
29 285 0.164583608330 Azmi C. Özgen, 2026.
29 286 0.164630894346 Azmi C. Özgen, 2026.
29 287 0.164718788074 Azmi C. Özgen, 2026.
29 288 0.164864203757 Azmi C. Özgen, 2026.
29 289 0.164980634003 Azmi C. Özgen, 2026.
29 290 0.164992751140 Azmi C. Özgen, 2026.
29 291 0.165050943310 Azmi C. Özgen, 2026.
29 292 0.165085610593 Azmi C. Özgen, 2026.
29 293 0.165154649470 Azmi C. Özgen, 2026.
29 294 0.165199705063 Azmi C. Özgen, 2026.
29 295 0.165204623643 Azmi C. Özgen, 2026.
29 296 0.165248683443 Azmi C. Özgen, 2026.
29 297 0.165293625044 Azmi C. Özgen, 2026.
29 298 0.165331820895 Azmi C. Özgen, 2026.
29 299 0.165395144682 Azmi C. Özgen, 2026.
29 300 0.165516862717 Azmi C. Özgen, 2026.
29 301 0.165546776982 Azmi C. Özgen, 2026.
29 302 0.165620700758 Azmi C. Özgen, 2026.
29 303 0.165695269218 Azmi C. Özgen, 2026.
29 304 0.165768820104 Azmi C. Özgen, 2026.
29 305 0.165806378070 Azmi C. Özgen, 2026.
29 306 0.165853273859 Azmi C. Özgen, 2026.
29 307 0.165934451065 Azmi C. Özgen, 2026.
29 308 0.166049377287 Azmi C. Özgen, 2026.
29 309 0.166065209344 Azmi C. Özgen, 2026.
29 310 0.166229562715 Azmi C. Özgen, 2026.
29 311 0.166234543347 Azmi C. Özgen, 2026.
29 312 0.166246206178 Azmi C. Özgen, 2026.
29 313 0.166356794812 Azmi C. Özgen, 2026.
29 314 0.166409281867 Azmi C. Özgen, 2026.
29 315 0.166498147613 Azmi C. Özgen, 2026.
29 316 0.166636235327 Azmi C. Özgen, 2026.
29 317 0.166643568001 Azmi C. Özgen, 2026.
29 318 0.166648983126 Azmi C. Özgen, 2026.
29 319 0.166650631488 Azmi C. Özgen, 2026.
29 345 0.166666666667 Kevin Li, 2026.
6⁢x−1
29 346 0.167120327688 Azmi C. Özgen, 2026.
29 347 0.167164052162 Azmi C. Özgen, 2026.
29 348 0.167340117913 Azmi C. Özgen, 2026.
29 349 0.167503521296 Azmi C. Özgen, 2026.
29 350 0.168281747481 Azmi C. Özgen, 2026.
29 351 0.168295001702 Azmi C. Özgen, 2026.
29 352 0.169595710817 Azmi C. Özgen, 2026.
29 353 0.171341038777 Henry Cohn, 2026, needs more optimization.
29 354 0.174402713913 Azmi C. Özgen, 2026.
29 355 0.176906981072 Azmi C. Özgen, 2026.
29 356 0.178627427689 Azmi C. Özgen, 2026.
29 357 0.180102489452 Azmi C. Özgen, 2026.
29 358 0.181109376018 Azmi C. Özgen, 2026.
29 359 0.181364394746 Azmi C. Özgen, 2026.
29 360 0.181395233240 Azmi C. Özgen, 2026.
29 361 0.181603281995 Azmi C. Özgen, 2026.
29 362 0.181674707665 Azmi C. Özgen, 2026.
29 363 0.181911564500 Azmi C. Özgen, 2026.
29 364 0.183769700756 Azmi C. Özgen, 2026.
29 365 0.185869672953 Azmi C. Özgen, 2026.
29 366 0.186318581235 Azmi C. Özgen, 2026.
29 367 0.186671962758 Azmi C. Özgen, 2026.
29 368 0.186714607444 Azmi C. Özgen, 2026.
29 369 0.187306277562 Azmi C. Özgen, 2026.
29 370 0.187342264148 Azmi C. Özgen, 2026.
29 371 0.187791216274 Azmi C. Özgen, 2026.
29 372 0.188316740152 Azmi C. Özgen, 2026.
29 373 0.188583507754 Azmi C. Özgen, 2026.
29 374 0.188857134977 Azmi C. Özgen, 2026.
29 375 0.189129444353 Azmi C. Özgen, 2026.
29 376 0.189163116114 Azmi C. Özgen, 2026.
29 377 0.189693186374 Azmi C. Özgen, 2026.
29 378 0.189716963299 Henry Cohn, 2026, needs more optimization.
29 379 0.190124840413 Azmi C. Özgen, 2026.
29 380 0.190473675888 Azmi C. Özgen, 2026.
29 381 0.190733993922 Azmi C. Özgen, 2026.
29 382 0.190916674606 Azmi C. Özgen, 2026.
29 383 0.191293014705 Azmi C. Özgen, 2026.
29 384 0.191345009832 Azmi C. Özgen, 2026.
29 385 0.191636248996 Azmi C. Özgen, 2026.
29 386 0.191906262718 Azmi C. Özgen, 2026.
29 387 0.192014907572 Azmi C. Özgen, 2026.
29 388 0.192145749641 Azmi C. Özgen, 2026.
29 389 0.192481190772 Azmi C. Özgen, 2026.
29 390 0.192510080072 Henry Cohn, 2026, needs more optimization.
29 391 0.192861470882 Azmi C. Özgen, 2026.
29 392 0.193240949812 Azmi C. Özgen, 2026.
29 394 0.193507479489 Henry Cohn, 2026, needs more optimization.
29 395 0.193918710291 Azmi C. Özgen, 2026.
29 396 0.194044055589 Azmi C. Özgen, 2026.
29 451 0.194630872484 Henry Cohn, 2026.
149⁢x−29
29 452 0.196846963257 Henry Cohn, 2026, needs more optimization.
29 453 0.196981967872 Azmi C. Özgen, 2026.
29 454 0.199123772855 Azmi C. Özgen, 2026.
29 455 0.199140830074 Azmi C. Özgen, 2026.
29 456 0.199192664341 Azmi C. Özgen, 2026.
29 457 0.199199593270 Azmi C. Özgen, 2026.
29 458 0.199211028268 Azmi C. Özgen, 2026.
29 459 0.199220607946 Azmi C. Özgen, 2026.
29 460 0.199229957603 Azmi C. Özgen, 2026.
29 461 0.199234054557 Azmi C. Özgen, 2026.
29 462 0.199271208353 Azmi C. Özgen, 2026.
29 463 0.199322700597 Azmi C. Özgen, 2026.
29 464 0.199343839161 Azmi C. Özgen, 2026.
29 465 0.199404240733 Azmi C. Özgen, 2026.
29 466 0.199439249242 Azmi C. Özgen, 2026.
29 467 0.199442338225 Azmi C. Özgen, 2026.
29 468 0.199452556544 Azmi C. Özgen, 2026.
29 469 0.199474154766 Azmi C. Özgen, 2026.
29 470 0.199512544200 Azmi C. Özgen, 2026.
29 471 0.199532005873 Azmi C. Özgen, 2026.
29 472 0.199534556439 Azmi C. Özgen, 2026.
29 473 0.199581817178 Azmi C. Özgen, 2026.
29 474 0.199585423715 Azmi C. Özgen, 2026.
29 475 0.199609993006 Azmi C. Özgen, 2026.
29 476 0.199613296438 Azmi C. Özgen, 2026.
29 477 0.199613773743 Azmi C. Özgen, 2026.
29 478 0.199627585364 Azmi C. Özgen, 2026.
29 479 0.199656801887 Azmi C. Özgen, 2026.
29 480 0.199662594045 Azmi C. Özgen, 2026.
29 481 0.199663070464 Azmi C. Özgen, 2026.
29 482 0.199690816032 Azmi C. Özgen, 2026.
29 483 0.199694758317 Azmi C. Özgen, 2026.
29 484 0.199718439702 Azmi C. Özgen, 2026.
29 485 0.199746239112 Azmi C. Özgen, 2026.
29 486 0.199750395031 Azmi C. Özgen, 2026.
29 487 0.199754075059 Azmi C. Özgen, 2026.
29 488 0.199773364596 Azmi C. Özgen, 2026.
29 489 0.199782539071 Azmi C. Özgen, 2026.
29 490 0.199793733697 Azmi C. Özgen, 2026.
29 491 0.199804011305 Azmi C. Özgen, 2026.
29 492 0.199826208000 Azmi C. Özgen, 2026.
29 493 0.199826523752 Azmi C. Özgen, 2026.
29 494 0.199832198219 Azmi C. Özgen, 2026.
29 495 0.199844756381 Azmi C. Özgen, 2026.
29 496 0.199853516172 Azmi C. Özgen, 2026.
29 497 0.199927864789 Henry Cohn, 2026, needs more optimization.
29 587 0.2 Kevin Li, 2026.
5⁢x−1
29 605 0.2 Henry Cohn, 2026.
5⁢x−1
29 606 0.200260225331 Azmi C. Özgen, 2026.
29 607 0.200351254363 Azmi C. Özgen, 2026.
29 608 0.200682655892 Azmi C. Özgen, 2026.
29 609 0.200854692409 Azmi C. Özgen, 2026.
29 610 0.201045510091 Azmi C. Özgen, 2026.
29 611 0.201409383891 Azmi C. Özgen, 2026.
29 612 0.201736192767 Azmi C. Özgen, 2026.
29 613 0.202178224273 Azmi C. Özgen, 2026.
29 614 0.202414166774 Azmi C. Özgen, 2026.
29 615 0.202928627997 Azmi C. Özgen, 2026.
29 616 0.203647782961 Azmi C. Özgen, 2026.
29 617 0.204627602620 Azmi C. Özgen, 2026.
29 618 0.204982479802 Azmi C. Özgen, 2026.
29 619 0.205328688403 Azmi C. Özgen, 2026.
29 620 0.205767887240 Azmi C. Özgen, 2026.
29 621 0.206511330054 Azmi C. Özgen, 2026.
29 625 0.206955286420 Henry Cohn, 2026, needs more optimization.
29 626 0.209188517394 Azmi C. Özgen, 2026.
29 627 0.209600703948 Azmi C. Özgen, 2026.
29 630 0.209708177203 Henry Cohn, 2026, needs more optimization.
29 631 0.211847803870 Azmi C. Özgen, 2026.
29 632 0.212226217792 Azmi C. Özgen, 2026.
29 633 0.212681509216 Azmi C. Özgen, 2026.
29 634 0.213119513561 Azmi C. Özgen, 2026.
29 635 0.213511935090 Azmi C. Özgen, 2026.
29 636 0.213960234785 Azmi C. Özgen, 2026.
29 637 0.214394639750 Azmi C. Özgen, 2026.
29 638 0.214886848579 Azmi C. Özgen, 2026.
29 639 0.215540738694 Azmi C. Özgen, 2026.
29 640 0.216097859539 Azmi C. Özgen, 2026.
29 641 0.216661219454 Azmi C. Özgen, 2026.
29 645 0.216755330280 Henry Cohn, 2026, needs more optimization.
29 646 0.218970186080 Azmi C. Özgen, 2026.
29 647 0.219432007755 Azmi C. Özgen, 2026.
29 648 0.219857558502 Azmi C. Özgen, 2026.
29 649 0.220228718938 Azmi C. Özgen, 2026.
29 650 0.220705951653 Azmi C. Özgen, 2026.
29 651 0.221277065245 Azmi C. Özgen, 2026.
29 652 0.221576487126 Azmi C. Özgen, 2026.
29 653 0.222010687995 Azmi C. Özgen, 2026.
29 661 0.222256351847 Robert Dallara, 2026.
29 666 0.224576122779 Henry Cohn, 2026, needs more optimization.
29 678 0.230365978769 Henry Cohn, 2026, needs more optimization.
29 683 0.232031078095 Henry Cohn, 2026, needs more optimization.
29 684 0.232032543252 Henry Cohn, 2026, needs more optimization.
29 685 0.233336760798 Azmi C. Özgen, 2026.
29 686 0.233340918767 Azmi C. Özgen, 2026.
29 687 0.233362420260 Azmi C. Özgen, 2026.
29 688 0.233397354890 Azmi C. Özgen, 2026.
29 689 0.233493532352 Azmi C. Özgen, 2026.
29 690 0.233500168125 Azmi C. Özgen, 2026.
29 691 0.233500407684 Azmi C. Özgen, 2026.
29 692 0.233500504929 Azmi C. Özgen, 2026.
29 693 0.233501082779 Azmi C. Özgen, 2026.
29 694 0.233516257771 Azmi C. Özgen, 2026.
29 695 0.233556366773 Azmi C. Özgen, 2026.
29 696 0.233592688087 Azmi C. Özgen, 2026.
29 697 0.233597451332 Azmi C. Özgen, 2026.
29 698 0.233597460070 Azmi C. Özgen, 2026.
29 699 0.233610152801 Azmi C. Özgen, 2026.
29 700 0.233616801644 Azmi C. Özgen, 2026.
29 701 0.233648646666 Azmi C. Özgen, 2026.
29 702 0.233670304355 Azmi C. Özgen, 2026.
29 703 0.233673008379 Azmi C. Özgen, 2026.
29 704 0.233675481770 Azmi C. Özgen, 2026.
29 705 0.233678249966 Azmi C. Özgen, 2026.
29 706 0.233680481542 Azmi C. Özgen, 2026.
29 707 0.233683382135 Azmi C. Özgen, 2026.
29 708 0.233685838362 Azmi C. Özgen, 2026.
29 709 0.233688418811 Azmi C. Özgen, 2026.
29 710 0.233688425417 Azmi C. Özgen, 2026.
29 711 0.233694635782 Azmi C. Özgen, 2026.
29 712 0.233701471669 Azmi C. Özgen, 2026.
29 713 0.233710812214 Henry Cohn, 2026, needs more optimization.
29 714 0.233710812238 Henry Cohn, 2026, needs more optimization.
29 715 0.233759282719 Azmi C. Özgen, 2026.
29 716 0.233798321995 Azmi C. Özgen, 2026.
29 717 0.233837246046 Azmi C. Özgen, 2026.
29 718 0.235833564209 Azmi C. Özgen, 2026.
29 719 0.236849741946 Azmi C. Özgen, 2026.
29 720 0.238164336732 Azmi C. Özgen, 2026.
29 724 0.239150554180 Henry Cohn, 2026, needs more optimization.
29 725 0.239588274873 Azmi C. Özgen, 2026.
29 726 0.239856396095 Azmi C. Özgen, 2026.
29 727 0.240054045231 Azmi C. Özgen, 2026.
29 728 0.240054045292 Azmi C. Özgen, 2026.
29 729 0.240535839224 Azmi C. Özgen, 2026.
29 730 0.240540389419 Azmi C. Özgen, 2026.
29 731 0.240543959249 Azmi C. Özgen, 2026.
29 732 0.240545847308 Azmi C. Özgen, 2026.
29 733 0.240781642871 Azmi C. Özgen, 2026.
29 734 0.240999119013 Azmi C. Özgen, 2026.
29 737 0.241086036032 Robert Dallara, 2026.
29 738 0.241396992061 Azmi C. Özgen, 2026.
29 739 0.241511738528 Azmi C. Özgen, 2026.
29 740 0.241814102686 Azmi C. Özgen, 2026.
29 741 0.241818524181 Azmi C. Özgen, 2026.
29 742 0.241818524235 Azmi C. Özgen, 2026.
29 743 0.241839036933 Henry Cohn, 2026, needs more optimization.
29 744 0.242283625752 Azmi C. Özgen, 2026.
29 747 0.242288074647 Henry Cohn, 2026, needs more optimization.
29 748 0.242512256805 Azmi C. Özgen, 2026.
29 749 0.242683796454 Azmi C. Özgen, 2026.
29 750 0.242688715811 Azmi C. Özgen, 2026.
29 751 0.242691178729 Azmi C. Özgen, 2026.
29 752 0.242691182663 Azmi C. Özgen, 2026.
29 753 0.242745028511 Azmi C. Özgen, 2026.
29 754 0.242838115690 Azmi C. Özgen, 2026.
29 755 0.243134572093 Azmi C. Özgen, 2026.
29 756 0.243218969547 Azmi C. Özgen, 2026.
29 757 0.243295519073 Azmi C. Özgen, 2026.
29 758 0.243455981593 Azmi C. Özgen, 2026.
29 759 0.243455984503 Azmi C. Özgen, 2026.
29 760 0.243590747826 Azmi C. Özgen, 2026.
29 761 0.243732549142 Azmi C. Özgen, 2026.
29 762 0.243930111834 Azmi C. Özgen, 2026.
29 763 0.243951988115 Azmi C. Özgen, 2026.
29 764 0.244080907191 Azmi C. Özgen, 2026.
29 765 0.244252901119 Azmi C. Özgen, 2026.
29 766 0.244252901381 Azmi C. Özgen, 2026.
29 767 0.244451627974 Azmi C. Özgen, 2026.
29 768 0.244606948089 Azmi C. Özgen, 2026.
29 769 0.244822258658 Azmi C. Özgen, 2026.
29 770 0.244822262288 Azmi C. Özgen, 2026.
29 771 0.244990636914 Azmi C. Özgen, 2026.
29 772 0.245110094258 Azmi C. Özgen, 2026.
29 773 0.245223227929 Azmi C. Özgen, 2026.
29 774 0.245456561982 Azmi C. Özgen, 2026.
29 775 0.245462033155 Azmi C. Özgen, 2026.
29 776 0.245465968056 Azmi C. Özgen, 2026.
29 777 0.245465972190 Azmi C. Özgen, 2026.
29 778 0.245585782337 Azmi C. Özgen, 2026.
29 779 0.245660151023 Azmi C. Özgen, 2026.
29 780 0.245796474072 Azmi C. Özgen, 2026.
29 781 0.245801338532 Azmi C. Özgen, 2026.
29 782 0.245804484084 Azmi C. Özgen, 2026.
29 783 0.245806744228 Azmi C. Özgen, 2026.
29 784 0.245920303041 Azmi C. Özgen, 2026.
29 785 0.245952653854 Azmi C. Özgen, 2026.
29 786 0.246006792560 Azmi C. Özgen, 2026.
29 787 0.246145865387 Azmi C. Özgen, 2026.
29 788 0.246246477802 Azmi C. Özgen, 2026.
29 789 0.246287849463 Azmi C. Özgen, 2026.
29 790 0.246358595477 Azmi C. Özgen, 2026.
29 791 0.246432048579 Azmi C. Özgen, 2026.
29 792 0.246452051576 Azmi C. Özgen, 2026.
29 793 0.246487346212 Azmi C. Özgen, 2026.
29 794 0.246565289053 Azmi C. Özgen, 2026.
29 795 0.246591260272 Azmi C. Özgen, 2026.
29 796 0.246674364505 Azmi C. Özgen, 2026.
29 797 0.246846359280 Azmi C. Özgen, 2026.
29 798 0.246908278653 Azmi C. Özgen, 2026.
29 799 0.247037196618 Azmi C. Özgen, 2026.
29 800 0.247105459161 Azmi C. Özgen, 2026.
29 801 0.247105459416 Azmi C. Özgen, 2026.
29 802 0.247105464745 Azmi C. Özgen, 2026.
29 803 0.247147521096 Azmi C. Özgen, 2026.
29 804 0.247243772376 Azmi C. Özgen, 2026.
29 805 0.247257596160 Azmi C. Özgen, 2026.
29 806 0.247303830989 Azmi C. Özgen, 2026.
29 807 0.247384761390 Azmi C. Özgen, 2026.
29 808 0.247466945053 Azmi C. Özgen, 2026.
29 809 0.247498121682 Azmi C. Özgen, 2026.
29 810 0.247536522644 Azmi C. Özgen, 2026.
29 811 0.247596402548 Azmi C. Özgen, 2026.
29 812 0.247598410931 Azmi C. Özgen, 2026.
29 813 0.247598410987 Azmi C. Özgen, 2026.
29 814 0.247598415414 Azmi C. Özgen, 2026.
29 815 0.247693362859 Azmi C. Özgen, 2026.
29 816 0.247716348005 Azmi C. Özgen, 2026.
29 817 0.247730611795 Azmi C. Özgen, 2026.
29 818 0.247747862894 Azmi C. Özgen, 2026.
29 819 0.247860495048 Azmi C. Özgen, 2026.
29 820 0.247860500015 Azmi C. Özgen, 2026.
29 821 0.247919775158 Azmi C. Özgen, 2026.
29 822 0.247952777622 Azmi C. Özgen, 2026.
29 823 0.247987718522 Henry Cohn, 2026, needs more optimization.
29 824 0.247987723250 Azmi C. Özgen, 2026.
29 825 0.248029379284 Azmi C. Özgen, 2026.
29 826 0.248104453834 Azmi C. Özgen, 2026.
29 827 0.248147824924 Azmi C. Özgen, 2026.
29 828 0.248199595369 Azmi C. Özgen, 2026.
29 829 0.248293339208 Azmi C. Özgen, 2026.
29 830 0.248345027664 Azmi C. Özgen, 2026.
29 831 0.248348476186 Azmi C. Özgen, 2026.
29 832 0.248351956895 Azmi C. Özgen, 2026.
29 833 0.248353832198 Azmi C. Özgen, 2026.
29 834 0.248353833141 Azmi C. Özgen, 2026.
29 835 0.248353964834 Azmi C. Özgen, 2026.
29 836 0.248356133690 Azmi C. Özgen, 2026.
29 837 0.248356133722 Azmi C. Özgen, 2026.
29 838 0.248356141096 Azmi C. Özgen, 2026.
29 839 0.248366104035 Azmi C. Özgen, 2026.
29 840 0.248400937598 Azmi C. Özgen, 2026.
29 841 0.248424094978 Azmi C. Özgen, 2026.
29 842 0.248454735671 Azmi C. Özgen, 2026.
29 843 0.248514207208 Azmi C. Özgen, 2026.
29 844 0.248514213663 Azmi C. Özgen, 2026.
29 845 0.248562352878 Azmi C. Özgen, 2026.
29 846 0.248606226248 Azmi C. Özgen, 2026.
29 847 0.248635250006 Azmi C. Özgen, 2026.
29 848 0.248671117561 Azmi C. Özgen, 2026.
29 849 0.248725634798 Azmi C. Özgen, 2026.
29 850 0.248735929315 Azmi C. Özgen, 2026.
29 851 0.248779510684 Azmi C. Özgen, 2026.
29 852 0.248829701705 Azmi C. Özgen, 2026.
29 853 0.248829707856 Azmi C. Özgen, 2026.
29 854 0.248843171738 Azmi C. Özgen, 2026.
29 855 0.248876207303 Azmi C. Özgen, 2026.
29 856 0.248982852639 Henry Cohn, 2026, needs more optimization.
29 857 0.248982861296 Azmi C. Özgen, 2026.
29 858 0.248985794552 Azmi C. Özgen, 2026.
29 859 0.248994057099 Azmi C. Özgen, 2026.
29 860 0.249010085754 Azmi C. Özgen, 2026.
29 861 0.249010085805 Azmi C. Özgen, 2026.
29 862 0.249010092240 Azmi C. Özgen, 2026.
29 863 0.249056283289 Azmi C. Özgen, 2026.
29 864 0.249098968783 Henry Cohn, 2026, needs more optimization.
29 865 0.249098974985 Azmi C. Özgen, 2026.
29 866 0.249107749669 Henry Cohn, 2026, needs more optimization.
29 867 0.249107758214 Azmi C. Özgen, 2026.
29 868 0.249135321771 Azmi C. Özgen, 2026.
29 869 0.249166391271 Azmi C. Özgen, 2026.
29 870 0.249307013393 Henry Cohn, 2026, needs more optimization.
29 871 0.249307023904 Azmi C. Özgen, 2026.
29 872 0.249316499990 Azmi C. Özgen, 2026.
29 873 0.249316508916 Azmi C. Özgen, 2026.
29 874 0.249322239685 Henry Cohn, 2026, needs more optimization.
29 875 0.249322240064 Henry Cohn, 2026, needs more optimization.
29 876 0.249322248451 Azmi C. Özgen, 2026.
29 877 0.249328952945 Azmi C. Özgen, 2026.
29 878 0.249328957992 Azmi C. Özgen, 2026.
29 879 0.249328962340 Azmi C. Özgen, 2026.
29 880 0.249348622317 Azmi C. Özgen, 2026.
29 881 0.249376811668 Azmi C. Özgen, 2026.
29 882 0.249377724424 Azmi C. Özgen, 2026.
29 883 0.249380267953 Azmi C. Özgen, 2026.
29 884 0.249395922429 Azmi C. Özgen, 2026.
29 885 0.249402953736 Azmi C. Özgen, 2026.
29 886 0.249439462858 Henry Cohn, 2026, needs more optimization.
29 887 0.249439468677 Henry Cohn, 2026, needs more optimization.
29 888 0.249439474161 Azmi C. Özgen, 2026.
29 889 0.249448121954 Azmi C. Özgen, 2026.
29 890 0.249462014703 Azmi C. Özgen, 2026.
29 891 0.249475315654 Azmi C. Özgen, 2026.
29 892 0.249490543983 Azmi C. Özgen, 2026.
29 893 0.249491483696 Azmi C. Özgen, 2026.
29 894 0.249491497405 Azmi C. Özgen, 2026.
29 895 0.249536828808 Azmi C. Özgen, 2026.
29 896 0.249536836438 Azmi C. Özgen, 2026.
29 897 0.249538190685 Azmi C. Özgen, 2026.
29 898 0.249559790260 Azmi C. Özgen, 2026.
29 899 0.249559800405 Azmi C. Özgen, 2026.
29 900 0.249572058147 Azmi C. Özgen, 2026.
29 901 0.249572067460 Azmi C. Özgen, 2026.
29 902 0.249606244374 Azmi C. Özgen, 2026.
29 903 0.249606251110 Azmi C. Özgen, 2026.
29 904 0.249611553077 Azmi C. Özgen, 2026.
29 905 0.249652667642 Azmi C. Özgen, 2026.
29 908 0.249964307624 Azmi C. Özgen, 2026.
29 909 0.249964307655 Azmi C. Özgen, 2026.
29 910 0.249964308810 Azmi C. Özgen, 2026.
29 914 0.249965412451 Azmi C. Özgen, 2026.
29 915 0.249965412492 Azmi C. Özgen, 2026.
29 916 0.249965412836 Azmi C. Özgen, 2026.
29 917 0.249965419249 Azmi C. Özgen, 2026.
29 918 0.249965424950 Azmi C. Özgen, 2026.
29 919 0.249965428528 Azmi C. Özgen, 2026.
29 920 0.249965433278 Azmi C. Özgen, 2026.
29 921 0.249967723855 Henry Cohn, 2026, needs more optimization.
29 922 0.249967729653 Azmi C. Özgen, 2026.
29 923 0.249967741211 Azmi C. Özgen, 2026.
29 924 0.249971487611 Azmi C. Özgen, 2026.
29 925 0.249972844772 Azmi C. Özgen, 2026.
29 926 0.249974253391 Azmi C. Özgen, 2026.
29 927 0.249975740455 Azmi C. Özgen, 2026.
29 928 0.249977645317 Azmi C. Özgen, 2026.
29 929 0.249977645321 Azmi C. Özgen, 2026.
29 930 0.249977645326 Azmi C. Özgen, 2026.
29 931 0.249977645490 Azmi C. Özgen, 2026.
29 932 0.249977645733 Azmi C. Özgen, 2026.
29 933 0.249977651498 Azmi C. Özgen, 2026.
29 934 0.249977657415 Azmi C. Özgen, 2026.
29 935 0.249977661278 Azmi C. Özgen, 2026.
29 936 0.249977666447 Azmi C. Özgen, 2026.
29 937 0.249980503629 Azmi C. Özgen, 2026.
29 938 0.249982061237 Azmi C. Özgen, 2026.
29 939 0.249982069048 Azmi C. Özgen, 2026.
29 940 0.249982074081 Azmi C. Özgen, 2026.
29 941 0.249982607923 Azmi C. Özgen, 2026.
29 942 0.249984209878 Azmi C. Özgen, 2026.
29 943 0.249984646811 Azmi C. Özgen, 2026.
29 944 0.249985333464 Azmi C. Özgen, 2026.
29 945 0.249985341924 Azmi C. Özgen, 2026.
29 946 0.249985907263 Azmi C. Özgen, 2026.
29 947 0.249985911791 Azmi C. Özgen, 2026.
29 948 0.249985917637 Azmi C. Özgen, 2026.
29 952 0.249988800273 Henry Cohn, 2026, needs more optimization.
29 953 0.249988800274 Henry Cohn, 2026, needs more optimization.
29 954 0.249988800455 Henry Cohn, 2026, needs more optimization.
29 955 0.249988801208 Henry Cohn, 2026, needs more optimization.
29 956 0.249988836486 Henry Cohn, 2026, needs more optimization.
29 957 0.249988856788 Henry Cohn, 2026, needs more optimization.
29 958 0.249988876691 Azmi C. Özgen, 2026.
29 959 0.249990858583 Henry Cohn, 2026, needs more optimization.
29 960 0.249990861573 Henry Cohn, 2026, needs more optimization.
29 961 0.249990865569 Azmi C. Özgen, 2026.
29 962 0.249991392986 Azmi C. Özgen, 2026.
29 963 0.249992347840 Pavlos Moros, 2026.
29 964 0.249992561569 Pavlos Moros, 2026.
29 965 0.249992824403 Pavlos Moros, 2026.
29 966 0.249992888956 Pavlos Moros, 2026.
29 967 0.249992994866 Henry Cohn, 2026, needs more optimization.
29 968 0.249992998776 Henry Cohn, 2026, needs more optimization.
29 969 0.249993003881 Azmi C. Özgen, 2026.
29 970 0.249994183513 Henry Cohn, 2026, needs more optimization.
29 971 0.249994186297 Azmi C. Özgen, 2026.
29 972 0.249994386704 Henry Cohn, 2026, needs more optimization.
29 973 0.249994392334 Henry Cohn, 2026, needs more optimization.
29 974 0.249994396085 Henry Cohn, 2026, needs more optimization.
29 975 0.249994398225 Henry Cohn, 2026, needs more optimization.
29 976 0.249994402917 Azmi C. Özgen, 2026.
29 977 0.249995462435 Azmi C. Özgen, 2026.
29 978 0.249995465546 Azmi C. Özgen, 2026.
29 979 0.249995469138 Azmi C. Özgen, 2026.
29 980 0.249995677401 Azmi C. Özgen, 2026.
29 981 0.249995681443 Azmi C. Özgen, 2026.
29 982 0.249995685303 Azmi C. Özgen, 2026.
29 983 0.249995687533 Henry Cohn, 2026, needs more optimization.
29 984 0.249995690905 Henry Cohn, 2026, needs more optimization.
29 985 0.249995692669 Henry Cohn, 2026, needs more optimization.
29 986 0.249995694744 Henry Cohn, 2026, needs more optimization.
29 987 0.249995696952 Henry Cohn, 2026, needs more optimization.
29 988 0.249995699430 Azmi C. Özgen, 2026.
29 1024 0.25 Kevin Li, 2026.
4⁢x−1
30 61 0.026884307091 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
23520⁢x3−900⁢x2−30⁢x+1
30 62 0.031273236170 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
30 63 0.037664488335 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
30 64 0.038215865894 Henry Cohn, 2026, needs more optimization.
30 65 0.038479664975 Henry Cohn, 2026.
30 66 0.042414067204 Azmi C. Özgen, 2026.
30 67 0.043279205049 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
30 68 0.043439510039 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
30 69 0.044560014147 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
30 70 0.044757397041 Henry Cohn, 2026.
30 71 0.048412928398 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
30 72 0.048641450299 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
30 73 0.051199441302 Henry Cohn, 2026, needs more optimization.
30 74 0.051797462893 Azmi C. Özgen, 2026.
30 75 0.054797544714 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
30 76 0.057087952356 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
30 77 0.058597722669 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
30 78 0.059643158367 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
30 79 0.061207737623 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
30 80 0.062313655163 Arhan Canli, 2026.
30 81 0.062820061220 Azmi C. Özgen, 2026.
30 82 0.063356335671 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
30 83 0.064957684178 Arhan Canli, 2026.
30 84 0.065918799395 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
30 85 0.067987812023 Azmi C. Özgen, 2026.
30 86 0.069406253152 Henry Cohn, 2026, needs more optimization.
30 87 0.070863439339 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
30 88 0.072090236813 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
30 89 0.073008015101 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
30 90 0.073967459792 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
30 91 0.074668858657 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
30 92 0.075599010506 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
30 93 0.076084547316 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
30 94 0.076863926727 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
30 95 0.076919778310 Henry Cohn, 2026, needs more optimization.
30 96 0.076995782165 Henry Cohn, 2026, needs more optimization.
30 97 0.077147186337 Arhan Canli, 2026.
30 98 0.077263015354 Azmi C. Özgen, 2026.
30 99 0.077331332348 Henry Cohn, 2026, needs more optimization.
30 100 0.077767754579 Arhan Canli, 2026.
30 101 0.077920423335 Azmi C. Özgen, 2026.
30 102 0.078028644595 Azmi C. Özgen, 2026.
30 103 0.078512268496 Arhan Canli, 2026.
30 104 0.079109925216 Henry Cohn, 2026, needs more optimization.
30 105 0.079589586261 Henry Cohn, 2026, needs more optimization.
30 106 0.080474919594 Arhan Canli, 2026.
30 107 0.080659554058 Arhan Canli, 2026.
30 108 0.080811715630 Arhan Canli, 2026.
30 109 0.081493485203 Azmi C. Özgen, 2026.
30 110 0.081788177219 Azmi C. Özgen, 2026.
30 111 0.082299459164 Arhan Canli, 2026.
30 112 0.083252368066 Arhan Canli, 2026.
30 113 0.085098652261 Azmi C. Özgen, 2026.
30 114 0.086226873135 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
30 115 0.086231940230 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
30 117 0.086387915001 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
30 118 0.087524493997 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
30 119 0.088427485433 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
30 120 0.088883206097 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
30 121 0.089320513875 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
30 122 0.089823054295 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
30 123 0.089952384550 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
30 124 0.090024426794 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
30 125 0.090501567432 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
30 126 0.091016634078 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
30 127 0.091865045275 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
30 128 0.092778117720 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
30 129 0.094290613320 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
30 130 0.095659806385 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
30 131 0.096867091437 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
30 133 0.097806237462 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
30 134 0.098032829539 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
30 135 0.098435413984 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
30 136 0.098800919945 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
30 137 0.099186673656 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
30 138 0.099803711723 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
30 139 0.099884660588 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
30 140 0.099961780842 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
30 141 0.100178741787 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
30 142 0.100736369093 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
30 143 0.101021245719 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
30 144 0.103078993329 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
30 145 0.103330591792 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
30 146 0.107643185871 Azmi C. Özgen, 2026.
30 147 0.108250372059 Arhan Canli, 2026.
30 148 0.109053178348 Azmi C. Özgen, 2026.
30 149 0.109582315920 Azmi C. Özgen, 2026.
30 151 0.109873407116 Arhan Canli, 2026.
30 152 0.111070291355 Henry Cohn, 2026, needs more optimization.
30 153 0.111085499529 Henry Cohn, 2026, needs more optimization.
30 154 0.111090530401 Henry Cohn, 2026, needs more optimization.
30 155 0.111091825741 Azmi C. Özgen, 2026.
30 156 0.111104720334 Pavlos Moros, 2026.
30 157 0.111111128205 Pavlos Moros, 2026.
30 158 0.111111129932 Henry Cohn, 2026, needs more optimization.
30 159 0.112245295270 Azmi C. Özgen, 2026.
30 160 0.113643187338 Azmi C. Özgen, 2026.
30 161 0.115735655710 Azmi C. Özgen, 2026.
30 162 0.116547088491 Azmi C. Özgen, 2026.
30 163 0.118593323414 Azmi C. Özgen, 2026.
30 164 0.120028030407 Azmi C. Özgen, 2026.
30 165 0.120471252571 Azmi C. Özgen, 2026.
30 166 0.121700781551 Azmi C. Özgen, 2026.
30 167 0.121972789725 Azmi C. Özgen, 2026.
30 168 0.122721229839 Arhan Canli, 2026.
30 169 0.123546360087 Azmi C. Özgen, 2026.
30 170 0.124610274263 Azmi C. Özgen, 2026.
30 171 0.126536118912 Azmi C. Özgen, 2026.
30 172 0.126561674507 Henry Cohn, 2026, needs more optimization.
30 173 0.127331375829 Azmi C. Özgen, 2026.
30 174 0.127763123399 Azmi C. Özgen, 2026.
30 175 0.128052241473 Azmi C. Özgen, 2026.
30 176 0.128149043343 Henry Cohn, 2026, needs more optimization.
30 189 0.128238684469 Henry Cohn, 2026.
92⁢x2−4⁢x−1
30 202 0.128238684469 Azmi C. Özgen, 2026.
92⁢x2−4⁢x−1
30 204 0.131357161385 Henry Cohn, 2026, needs more optimization.
30 205 0.131426336170 Pavlos Moros, 2026.
30 206 0.133993281028 Azmi C. Özgen, 2026.
30 207 0.134198096435 Azmi C. Özgen, 2026.
30 208 0.136351551363 Henry Cohn, 2026, needs more optimization.
30 209 0.138569482058 Azmi C. Özgen, 2026.
30 210 0.141198779392 Azmi C. Özgen, 2026.
30 211 0.142094475291 Azmi C. Özgen, 2026.
30 213 0.142212445233 Henry Cohn, 2026, needs more optimization.
30 214 0.142334102161 Azmi C. Özgen, 2026.
30 215 0.142388849085 Azmi C. Özgen, 2026.
30 216 0.142777229635 Azmi C. Özgen, 2026.
30 217 0.142849137807 Azmi C. Özgen, 2026.
30 218 0.143116508019 Azmi C. Özgen, 2026.
30 219 0.143281963304 Azmi C. Özgen, 2026.
30 220 0.143957309756 Azmi C. Özgen, 2026.
30 221 0.144385043811 Azmi C. Özgen, 2026.
30 222 0.144465690817 Azmi C. Özgen, 2026.
30 223 0.144722598452 Azmi C. Özgen, 2026.
30 224 0.144845663263 Azmi C. Özgen, 2026.
30 225 0.145106790465 Azmi C. Özgen, 2026.
30 226 0.145252099785 Azmi C. Özgen, 2026.
30 227 0.145530979454 Azmi C. Özgen, 2026.
30 228 0.145869639042 Azmi C. Özgen, 2026.
30 229 0.146236438193 Azmi C. Özgen, 2026.
30 230 0.146299205249 Azmi C. Özgen, 2026.
30 231 0.146311683714 Azmi C. Özgen, 2026.
30 232 0.146625803302 Pavlos Moros, 2026.
30 233 0.146666781299 Pavlos Moros, 2026.
30 234 0.146807639812 Azmi C. Özgen, 2026.
30 235 0.146992845464 Azmi C. Özgen, 2026.
30 241 0.147102976680 Henry Cohn, 2026.
87⁢x2−6⁢x−1
30 242 0.147613860490 Pavlos Moros, 2026.
30 243 0.147633859638 Pavlos Moros, 2026.
30 244 0.147649784743 Pavlos Moros, 2026.
30 245 0.147707709539 Azmi C. Özgen, 2026.
30 246 0.147817514439 Azmi C. Özgen, 2026.
30 247 0.147888467219 Azmi C. Özgen, 2026.
30 248 0.147933560246 Azmi C. Özgen, 2026.
30 249 0.147966737411 Azmi C. Özgen, 2026.
30 250 0.147988355677 Azmi C. Özgen, 2026.
30 251 0.148047676130 Azmi C. Özgen, 2026.
30 252 0.148267710217 Azmi C. Özgen, 2026.
30 253 0.148372181817 Azmi C. Özgen, 2026.
30 254 0.148738073804 Henry Cohn, 2026, needs more optimization.
30 255 0.149505158784 Azmi C. Özgen, 2026.
30 256 0.149777486861 Azmi C. Özgen, 2026.
30 257 0.150343264793 Henry Cohn, 2026, needs more optimization.
30 258 0.150741430916 Azmi C. Özgen, 2026.
30 259 0.151503333879 Azmi C. Özgen, 2026.
30 260 0.152133181137 Azmi C. Özgen, 2026.
30 261 0.152974305265 Azmi C. Özgen, 2026.
30 262 0.153584918103 Azmi C. Özgen, 2026.
30 263 0.153997081641 Azmi C. Özgen, 2026.
30 264 0.154279557761 Henry Cohn, 2026, needs more optimization.
30 265 0.155262019236 Azmi C. Özgen, 2026.
30 266 0.155928017594 Azmi C. Özgen, 2026.
30 267 0.156610570129 Azmi C. Özgen, 2026.
30 268 0.157233002085 Azmi C. Özgen, 2026.
30 269 0.157984513263 Azmi C. Özgen, 2026.
30 270 0.158694924241 Azmi C. Özgen, 2026.
30 271 0.159306155030 Azmi C. Özgen, 2026.
30 273 0.159976539938 Henry Cohn, 2026, needs more optimization.
30 274 0.161194265611 Azmi C. Özgen, 2026.
30 275 0.161742519008 Azmi C. Özgen, 2026.
30 276 0.161776049261 Azmi C. Özgen, 2026.
30 277 0.161795844796 Azmi C. Özgen, 2026.
30 278 0.161859499285 Azmi C. Özgen, 2026.
30 279 0.161861960864 Azmi C. Özgen, 2026.
30 280 0.161894723977 Robert Dallara, 2026.
30 281 0.161930262737 Azmi C. Özgen, 2026.
30 282 0.161953492915 Henry Cohn, 2026, needs more optimization.
30 283 0.162087331195 Azmi C. Özgen, 2026.
30 285 0.162103990937 Henry Cohn, 2026, needs more optimization.
30 286 0.162491252095 Azmi C. Özgen, 2026.
30 287 0.162747648528 Azmi C. Özgen, 2026.
30 288 0.162853753243 Azmi C. Özgen, 2026.
30 289 0.162970526234 Azmi C. Özgen, 2026.
30 290 0.163058830106 Azmi C. Özgen, 2026.
30 291 0.163149675170 Azmi C. Özgen, 2026.
30 292 0.163238363390 Azmi C. Özgen, 2026.
30 293 0.163279440055 Azmi C. Özgen, 2026.
30 294 0.163348822490 Azmi C. Özgen, 2026.
30 295 0.163437116701 Azmi C. Özgen, 2026.
30 296 0.163467566557 Azmi C. Özgen, 2026.
30 297 0.163549479444 Azmi C. Özgen, 2026.
30 298 0.163661941104 Azmi C. Özgen, 2026.
30 299 0.163783689527 Azmi C. Özgen, 2026.
30 300 0.163872042367 Azmi C. Özgen, 2026.
30 301 0.163991535686 Azmi C. Özgen, 2026.
30 302 0.164082912931 Azmi C. Özgen, 2026.
30 303 0.164340808678 Azmi C. Özgen, 2026.
30 304 0.164423746557 Azmi C. Özgen, 2026.
30 305 0.164516304446 Azmi C. Özgen, 2026.
30 306 0.164619451308 Azmi C. Özgen, 2026.
30 307 0.164656024692 Azmi C. Özgen, 2026.
30 308 0.164832465462 Azmi C. Özgen, 2026.
30 309 0.164877607617 Azmi C. Özgen, 2026.
30 310 0.164915759691 Azmi C. Özgen, 2026.
30 311 0.165060061403 Azmi C. Özgen, 2026.
30 312 0.165114543858 Azmi C. Özgen, 2026.
30 313 0.165159494048 Azmi C. Özgen, 2026.
30 314 0.165237841548 Azmi C. Özgen, 2026.
30 315 0.165304333549 Azmi C. Özgen, 2026.
30 316 0.165369497284 Azmi C. Özgen, 2026.
30 317 0.165453201596 Azmi C. Özgen, 2026.
30 318 0.165546669859 Azmi C. Özgen, 2026.
30 319 0.165665669094 Azmi C. Özgen, 2026.
30 320 0.165694191837 Azmi C. Özgen, 2026.
30 321 0.165735938028 Azmi C. Özgen, 2026.
30 322 0.165916850317 Azmi C. Özgen, 2026.
30 323 0.166008871469 Azmi C. Özgen, 2026.
30 324 0.166068336011 Azmi C. Özgen, 2026.
30 325 0.166244062114 Azmi C. Özgen, 2026.
30 326 0.166298641983 Azmi C. Özgen, 2026.
30 327 0.166459593045 Azmi C. Özgen, 2026.
30 328 0.166478396057 Azmi C. Özgen, 2026.
30 329 0.166504361024 Azmi C. Özgen, 2026.
30 330 0.166521767571 Azmi C. Özgen, 2026.
30 331 0.166567766033 Azmi C. Özgen, 2026.
30 351 0.166666666667 Henry Cohn, 2026.
6⁢x−1
30 352 0.166949420031 Henry Cohn, 2026, needs more optimization.
30 353 0.167011724563 Azmi C. Özgen, 2026.
30 354 0.167011867691 Azmi C. Özgen, 2026.
30 355 0.167012043072 Azmi C. Özgen, 2026.
30 356 0.167012259715 Azmi C. Özgen, 2026.
30 357 0.167012453824 Azmi C. Özgen, 2026.
30 358 0.167012776597 Azmi C. Özgen, 2026.
30 359 0.167013056692 Azmi C. Özgen, 2026.
30 360 0.167013273810 Azmi C. Özgen, 2026.
30 361 0.167030242010 Azmi C. Özgen, 2026.
30 362 0.167225316897 Azmi C. Özgen, 2026.
30 363 0.167228568580 Azmi C. Özgen, 2026.
30 364 0.167847038067 Azmi C. Özgen, 2026.
30 365 0.169309511617 Azmi C. Özgen, 2026.
30 366 0.171208786385 Azmi C. Özgen, 2026.
30 367 0.172740756546 Azmi C. Özgen, 2026.
30 368 0.173564765805 Azmi C. Özgen, 2026.
30 369 0.174795813920 Azmi C. Özgen, 2026.
30 370 0.175818320742 Azmi C. Özgen, 2026.
30 371 0.176058742822 Azmi C. Özgen, 2026.
30 372 0.177300003880 Azmi C. Özgen, 2026.
30 373 0.177369313167 Azmi C. Özgen, 2026.
30 374 0.178645344389 Azmi C. Özgen, 2026.
30 375 0.179030369862 Azmi C. Özgen, 2026.
30 376 0.179310173243 Azmi C. Özgen, 2026.
30 377 0.180176745201 Azmi C. Özgen, 2026.
30 378 0.180883951064 Azmi C. Özgen, 2026.
30 379 0.181475381413 Azmi C. Özgen, 2026.
30 380 0.182038906257 Azmi C. Özgen, 2026.
30 381 0.182580177739 Azmi C. Özgen, 2026.
30 382 0.182937748546 Azmi C. Özgen, 2026.
30 383 0.184128445783 Azmi C. Özgen, 2026.
30 384 0.185086827765 Azmi C. Özgen, 2026.
30 385 0.185866042612 Azmi C. Özgen, 2026.
30 386 0.186682435506 Azmi C. Özgen, 2026.
30 390 0.187441580789 Henry Cohn, 2026, needs more optimization.
30 392 0.188324862787 Henry Cohn, 2026, needs more optimization.
30 393 0.189064033327 Azmi C. Özgen, 2026.
30 394 0.189078190534 Azmi C. Özgen, 2026.
30 395 0.189485993244 Azmi C. Özgen, 2026.
30 396 0.189727055569 Azmi C. Özgen, 2026.
30 397 0.189994626590 Azmi C. Özgen, 2026.
30 398 0.190404165342 Azmi C. Özgen, 2026.
30 400 0.190475856831 Henry Cohn, 2026, needs more optimization.
30 401 0.190977162138 Azmi C. Özgen, 2026.
30 402 0.191387905427 Azmi C. Özgen, 2026.
30 403 0.191600569844 Azmi C. Özgen, 2026.
30 404 0.191758035108 Azmi C. Özgen, 2026.
30 405 0.192100580359 Azmi C. Özgen, 2026.
30 406 0.192361605248 Azmi C. Özgen, 2026.
30 407 0.192609746771 Azmi C. Özgen, 2026.
30 408 0.192810497698 Azmi C. Özgen, 2026.
30 409 0.192972252122 Azmi C. Özgen, 2026.
30 412 0.193405424417 Henry Cohn, 2026, needs more optimization.
30 460 0.194630872484 Henry Cohn, 2026.
149⁢x−29
30 461 0.194758074821 Azmi C. Özgen, 2026.
30 462 0.194846178842 Azmi C. Özgen, 2026.
30 463 0.194848241752 Azmi C. Özgen, 2026.
30 464 0.194854138427 Azmi C. Özgen, 2026.
30 465 0.194855085876 Azmi C. Özgen, 2026.
30 466 0.195268903643 Azmi C. Özgen, 2026.
30 467 0.195935251064 Azmi C. Özgen, 2026.
30 468 0.198361516254 Azmi C. Özgen, 2026.
30 469 0.198415532477 Azmi C. Özgen, 2026.
30 470 0.198429752944 Azmi C. Özgen, 2026.
30 471 0.198509136408 Azmi C. Özgen, 2026.
30 472 0.198565677539 Azmi C. Özgen, 2026.
30 473 0.198613681666 Azmi C. Özgen, 2026.
30 474 0.198657327998 Azmi C. Özgen, 2026.
30 475 0.198748064365 Azmi C. Özgen, 2026.
30 476 0.198815307804 Azmi C. Özgen, 2026.
30 477 0.198847575435 Azmi C. Özgen, 2026.
30 478 0.198867570288 Azmi C. Özgen, 2026.
30 479 0.198924624195 Azmi C. Özgen, 2026.
30 480 0.198971044115 Azmi C. Özgen, 2026.
30 481 0.198983055776 Azmi C. Özgen, 2026.
30 482 0.198989226388 Azmi C. Özgen, 2026.
30 483 0.198999965530 Azmi C. Özgen, 2026.
30 484 0.199036621773 Azmi C. Özgen, 2026.
30 485 0.199078631418 Azmi C. Özgen, 2026.
30 486 0.199120449408 Azmi C. Özgen, 2026.
30 487 0.199139649238 Azmi C. Özgen, 2026.
30 488 0.199144182789 Azmi C. Özgen, 2026.
30 489 0.199147756971 Azmi C. Özgen, 2026.
30 490 0.199149568900 Azmi C. Özgen, 2026.
30 491 0.199180231930 Azmi C. Özgen, 2026.
30 492 0.199233773032 Azmi C. Özgen, 2026.
30 493 0.199249798923 Azmi C. Özgen, 2026.
30 494 0.199258528804 Azmi C. Özgen, 2026.
30 495 0.199316057917 Azmi C. Özgen, 2026.
30 496 0.199329315714 Azmi C. Özgen, 2026.
30 497 0.199364830232 Azmi C. Özgen, 2026.
30 498 0.199373204080 Azmi C. Özgen, 2026.
30 499 0.199387181228 Azmi C. Özgen, 2026.
30 500 0.199400954550 Azmi C. Özgen, 2026.
30 501 0.199442846241 Azmi C. Özgen, 2026.
30 502 0.199455075313 Azmi C. Özgen, 2026.
30 503 0.199457070956 Azmi C. Özgen, 2026.
30 504 0.199485308978 Azmi C. Özgen, 2026.
30 505 0.199487694288 Azmi C. Özgen, 2026.
30 506 0.199510499217 Azmi C. Özgen, 2026.
30 507 0.199525979224 Azmi C. Özgen, 2026.
30 508 0.199536306292 Azmi C. Özgen, 2026.
30 509 0.199573271182 Azmi C. Özgen, 2026.
30 510 0.199576792969 Azmi C. Özgen, 2026.
30 511 0.199604025745 Azmi C. Özgen, 2026.
30 512 0.199607855984 Azmi C. Özgen, 2026.
30 513 0.199607856079 Azmi C. Özgen, 2026.
30 514 0.199622412356 Azmi C. Özgen, 2026.
30 515 0.199634888352 Azmi C. Özgen, 2026.
30 516 0.199655982465 Azmi C. Özgen, 2026.
30 517 0.199670483652 Azmi C. Özgen, 2026.
30 518 0.199687861147 Azmi C. Özgen, 2026.
30 519 0.199688379373 Azmi C. Özgen, 2026.
30 520 0.199706546525 Azmi C. Özgen, 2026.
30 521 0.199721244659 Azmi C. Özgen, 2026.
30 522 0.199721618058 Azmi C. Özgen, 2026.
30 523 0.199730977877 Azmi C. Özgen, 2026.
30 524 0.199763834944 Azmi C. Özgen, 2026.
30 525 0.199771680354 Azmi C. Özgen, 2026.
30 526 0.199782074081 Azmi C. Özgen, 2026.
30 527 0.199782456161 Azmi C. Özgen, 2026.
30 528 0.199795040577 Azmi C. Özgen, 2026.
30 529 0.199796260398 Azmi C. Özgen, 2026.
30 530 0.199813627741 Azmi C. Özgen, 2026.
30 531 0.199815260212 Azmi C. Özgen, 2026.
30 532 0.199815267282 Azmi C. Özgen, 2026.
30 533 0.199828898255 Azmi C. Özgen, 2026.
30 534 0.199829693411 Azmi C. Özgen, 2026.
30 535 0.199847781521 Azmi C. Özgen, 2026.
30 536 0.199850092215 Azmi C. Özgen, 2026.
30 537 0.199859548660 Azmi C. Özgen, 2026.
30 538 0.199860229708 Azmi C. Özgen, 2026.
30 539 0.199866794010 Azmi C. Özgen, 2026.
30 540 0.199879352180 Azmi C. Özgen, 2026.
30 541 0.199892831520 Henry Cohn, 2026, needs more optimization.
30 656 0.2 Henry Cohn, 2026.
5⁢x−1
30 657 0.203357314598 Henry Cohn, 2026, needs more optimization.
30 658 0.205762857370 Azmi C. Özgen, 2026.
30 659 0.206632973843 Azmi C. Özgen, 2026.
30 660 0.206640693086 Azmi C. Özgen, 2026.
30 661 0.211832115206 Azmi C. Özgen, 2026.
30 662 0.212317609694 Azmi C. Özgen, 2026.
30 663 0.214697170865 Azmi C. Özgen, 2026.
30 664 0.215499437259 Azmi C. Özgen, 2026.
30 665 0.216472802884 Azmi C. Özgen, 2026.
30 666 0.217790140493 Azmi C. Özgen, 2026.
30 667 0.219045427210 Azmi C. Özgen, 2026.
30 668 0.219906884259 Azmi C. Özgen, 2026.
30 669 0.220594318143 Azmi C. Özgen, 2026.
30 681 0.221449199838 Henry Cohn, 2026, needs more optimization.
30 682 0.225710096580 Azmi C. Özgen, 2026.
30 683 0.225869217166 Azmi C. Özgen, 2026.
30 684 0.226066597973 Azmi C. Özgen, 2026.
30 685 0.226300506389 Azmi C. Özgen, 2026.
30 686 0.226692276267 Azmi C. Özgen, 2026.
30 687 0.226950053701 Azmi C. Özgen, 2026.
30 688 0.227185042235 Azmi C. Özgen, 2026.
30 689 0.227415053731 Azmi C. Özgen, 2026.
30 690 0.227853397563 Azmi C. Özgen, 2026.
30 691 0.227938860878 Azmi C. Özgen, 2026.
30 692 0.228340788736 Azmi C. Özgen, 2026.
30 693 0.228407670620 Azmi C. Özgen, 2026.
30 694 0.228924810644 Azmi C. Özgen, 2026.
30 695 0.229034931476 Azmi C. Özgen, 2026.
30 696 0.229378958840 Azmi C. Özgen, 2026.
30 710 0.229797068255 Robert Dallara, 2026.
30 711 0.232266944778 Azmi C. Özgen, 2026.
30 712 0.232310872272 Azmi C. Özgen, 2026.
30 713 0.232429794496 Azmi C. Özgen, 2026.
30 714 0.232565766748 Azmi C. Özgen, 2026.
30 715 0.232618717966 Azmi C. Özgen, 2026.
30 716 0.232702139166 Azmi C. Özgen, 2026.
30 717 0.232842358816 Azmi C. Özgen, 2026.
30 718 0.232917431912 Azmi C. Özgen, 2026.
30 719 0.232970667586 Azmi C. Özgen, 2026.
30 720 0.232990866465 Azmi C. Özgen, 2026.
30 721 0.233132531460 Azmi C. Özgen, 2026.
30 722 0.233181765815 Azmi C. Özgen, 2026.
30 723 0.233212405401 Azmi C. Özgen, 2026.
30 724 0.233276581007 Azmi C. Özgen, 2026.
30 725 0.233329871493 Azmi C. Özgen, 2026.
30 726 0.233359278096 Azmi C. Özgen, 2026.
30 727 0.233363512023 Azmi C. Özgen, 2026.
30 728 0.233438527402 Azmi C. Özgen, 2026.
30 729 0.233454570914 Azmi C. Özgen, 2026.
30 730 0.233507140448 Azmi C. Özgen, 2026.
30 731 0.233554658117 Azmi C. Özgen, 2026.
30 732 0.233557413360 Azmi C. Özgen, 2026.
30 733 0.233611837338 Azmi C. Özgen, 2026.
30 734 0.233629878758 Azmi C. Özgen, 2026.
30 735 0.233635127041 Azmi C. Özgen, 2026.
30 736 0.233635130837 Azmi C. Özgen, 2026.
30 737 0.233668617039 Azmi C. Özgen, 2026.
30 738 0.233676110664 Azmi C. Özgen, 2026.
30 739 0.233684705083 Azmi C. Özgen, 2026.
30 740 0.233695852726 Azmi C. Özgen, 2026.
30 741 0.233706899484 Azmi C. Özgen, 2026.
30 742 0.233710724387 Henry Cohn, 2026, needs more optimization.
30 743 0.233710724474 Henry Cohn, 2026, needs more optimization.
30 744 0.233761263651 Azmi C. Özgen, 2026.
30 745 0.233825323946 Azmi C. Özgen, 2026.
30 746 0.233892860514 Azmi C. Özgen, 2026.
30 747 0.233977928346 Azmi C. Özgen, 2026.
30 748 0.234077028567 Azmi C. Özgen, 2026.
30 749 0.236161968983 Azmi C. Özgen, 2026.
30 750 0.237189734112 Azmi C. Özgen, 2026.
30 751 0.238919850093 Azmi C. Özgen, 2026.
30 752 0.238921465201 Azmi C. Özgen, 2026.
30 753 0.238921468844 Azmi C. Özgen, 2026.
30 754 0.238999783464 Azmi C. Özgen, 2026.
30 755 0.239218798920 Azmi C. Özgen, 2026.
30 756 0.239277847623 Azmi C. Özgen, 2026.
30 757 0.239280282140 Azmi C. Özgen, 2026.
30 758 0.239280285672 Azmi C. Özgen, 2026.
30 761 0.239428148970 Henry Cohn, 2026, needs more optimization.
30 762 0.239552214164 Pavlos Moros, 2026.
30 763 0.239760573514 Azmi C. Özgen, 2026.
30 764 0.240026201650 Azmi C. Özgen, 2026.
30 765 0.240060997442 Azmi C. Özgen, 2026.
30 766 0.240168956167 Azmi C. Özgen, 2026.
30 767 0.240216096486 Azmi C. Özgen, 2026.
30 768 0.240349867945 Azmi C. Özgen, 2026.
30 769 0.240415325448 Azmi C. Özgen, 2026.
30 770 0.240613771979 Azmi C. Özgen, 2026.
30 771 0.240613775508 Azmi C. Özgen, 2026.
30 772 0.240687023111 Azmi C. Özgen, 2026.
30 775 0.240854061611 Robert Dallara, 2026.
30 778 0.241279624481 Henry Cohn, 2026, needs more optimization.
30 779 0.241712013993 Azmi C. Özgen, 2026.
30 780 0.241716208390 Azmi C. Özgen, 2026.
30 781 0.241718303799 Azmi C. Özgen, 2026.
30 782 0.241718307904 Azmi C. Özgen, 2026.
30 783 0.241803055123 Azmi C. Özgen, 2026.
30 784 0.241821991623 Azmi C. Özgen, 2026.
30 785 0.241966545054 Azmi C. Özgen, 2026.
30 786 0.242111444646 Azmi C. Özgen, 2026.
30 787 0.242283002834 Azmi C. Özgen, 2026.
30 788 0.242370090413 Azmi C. Özgen, 2026.
30 789 0.242411095511 Azmi C. Özgen, 2026.
30 790 0.242429383650 Azmi C. Özgen, 2026.
30 791 0.242541850953 Azmi C. Özgen, 2026.
30 792 0.242541851071 Azmi C. Özgen, 2026.
30 793 0.242650055831 Azmi C. Özgen, 2026.
30 794 0.242751710398 Azmi C. Özgen, 2026.
30 795 0.242844676324 Azmi C. Özgen, 2026.
30 796 0.242975723138 Azmi C. Özgen, 2026.
30 797 0.243006855101 Azmi C. Özgen, 2026.
30 798 0.243275216590 Azmi C. Özgen, 2026.
30 799 0.243338015652 Azmi C. Özgen, 2026.
30 800 0.243442790811 Azmi C. Özgen, 2026.
30 801 0.243567110155 Azmi C. Özgen, 2026.
30 802 0.243635290708 Azmi C. Özgen, 2026.
30 803 0.243635290826 Azmi C. Özgen, 2026.
30 804 0.243755532635 Azmi C. Özgen, 2026.
30 805 0.244012071723 Azmi C. Özgen, 2026.
30 806 0.244137411545 Azmi C. Özgen, 2026.
30 807 0.244137414790 Azmi C. Özgen, 2026.
30 808 0.244221429635 Azmi C. Özgen, 2026.
30 809 0.244251684270 Azmi C. Özgen, 2026.
30 810 0.244281582122 Azmi C. Özgen, 2026.
30 811 0.244355272151 Azmi C. Özgen, 2026.
30 812 0.244483781226 Azmi C. Özgen, 2026.
30 813 0.244661275743 Azmi C. Özgen, 2026.
30 814 0.244666577871 Azmi C. Özgen, 2026.
30 815 0.244672985311 Azmi C. Özgen, 2026.
30 816 0.244794110055 Azmi C. Özgen, 2026.
30 817 0.244795822545 Azmi C. Özgen, 2026.
30 818 0.244795826395 Azmi C. Özgen, 2026.
30 819 0.244886937524 Azmi C. Özgen, 2026.
30 820 0.245034926739 Azmi C. Özgen, 2026.
30 821 0.245046159390 Azmi C. Özgen, 2026.
30 822 0.245167632557 Azmi C. Özgen, 2026.
30 823 0.245302761344 Azmi C. Özgen, 2026.
30 824 0.245346641853 Azmi C. Özgen, 2026.
30 825 0.245445632553 Azmi C. Özgen, 2026.
30 826 0.245542765678 Azmi C. Özgen, 2026.
30 827 0.245586279075 Azmi C. Özgen, 2026.
30 828 0.245586283567 Azmi C. Özgen, 2026.
30 829 0.245643100989 Azmi C. Özgen, 2026.
30 830 0.245643105008 Azmi C. Özgen, 2026.
30 831 0.245769247029 Azmi C. Özgen, 2026.
30 832 0.245912663088 Azmi C. Özgen, 2026.
30 833 0.245912669609 Azmi C. Özgen, 2026.
30 834 0.245925899586 Azmi C. Özgen, 2026.
30 835 0.246058703181 Azmi C. Özgen, 2026.
30 836 0.246156186687 Azmi C. Özgen, 2026.
30 837 0.246193169093 Azmi C. Özgen, 2026.
30 838 0.246267474337 Azmi C. Özgen, 2026.
30 839 0.246267474484 Azmi C. Özgen, 2026.
30 840 0.246267479385 Azmi C. Özgen, 2026.
30 841 0.246296817483 Azmi C. Özgen, 2026.
30 842 0.246372726758 Azmi C. Özgen, 2026.
30 843 0.246497863251 Azmi C. Özgen, 2026.
30 844 0.246567014415 Azmi C. Özgen, 2026.
30 845 0.246667308022 Azmi C. Özgen, 2026.
30 846 0.246705534421 Azmi C. Özgen, 2026.
30 847 0.246818518710 Azmi C. Özgen, 2026.
30 848 0.246923910270 Azmi C. Özgen, 2026.
30 849 0.246947028825 Azmi C. Özgen, 2026.
30 850 0.246981452225 Azmi C. Özgen, 2026.
30 851 0.246981455841 Azmi C. Özgen, 2026.
30 852 0.246992424307 Azmi C. Özgen, 2026.
30 853 0.247105993463 Azmi C. Özgen, 2026.
30 854 0.247140934580 Azmi C. Özgen, 2026.
30 855 0.247140934762 Azmi C. Özgen, 2026.
30 856 0.247140938194 Azmi C. Özgen, 2026.
30 857 0.247156870999 Azmi C. Özgen, 2026.
30 858 0.247225075560 Azmi C. Özgen, 2026.
30 859 0.247254938226 Azmi C. Özgen, 2026.
30 860 0.247291862656 Azmi C. Özgen, 2026.
30 861 0.247303427104 Azmi C. Özgen, 2026.
30 862 0.247358594529 Azmi C. Özgen, 2026.
30 863 0.247389513218 Azmi C. Özgen, 2026.
30 864 0.247473927470 Azmi C. Özgen, 2026.
30 865 0.247568053048 Azmi C. Özgen, 2026.
30 866 0.247568058117 Azmi C. Özgen, 2026.
30 867 0.247624401330 Azmi C. Özgen, 2026.
30 868 0.247657153376 Azmi C. Özgen, 2026.
30 869 0.247733605662 Azmi C. Özgen, 2026.
30 870 0.247792913645 Azmi C. Özgen, 2026.
30 871 0.247834343804 Azmi C. Özgen, 2026.
30 872 0.247834349318 Azmi C. Özgen, 2026.
30 873 0.247849415714 Azmi C. Özgen, 2026.
30 874 0.247849415944 Azmi C. Özgen, 2026.
30 875 0.247849421867 Azmi C. Özgen, 2026.
30 876 0.247915498507 Azmi C. Özgen, 2026.
30 877 0.247964110954 Azmi C. Özgen, 2026.
30 878 0.247965619621 Azmi C. Özgen, 2026.
30 879 0.247965619626 Azmi C. Özgen, 2026.
30 880 0.247994723965 Azmi C. Özgen, 2026.
30 881 0.248094037809 Azmi C. Özgen, 2026.
30 882 0.248117207478 Azmi C. Özgen, 2026.
30 883 0.248160032902 Azmi C. Özgen, 2026.
30 884 0.248188628743 Azmi C. Özgen, 2026.
30 885 0.248188633960 Azmi C. Özgen, 2026.
30 886 0.248248989178 Azmi C. Özgen, 2026.
30 887 0.248258592181 Azmi C. Özgen, 2026.
30 888 0.248302168005 Azmi C. Özgen, 2026.
30 889 0.248337391123 Azmi C. Özgen, 2026.
30 890 0.248337396445 Azmi C. Özgen, 2026.
30 891 0.248353644769 Azmi C. Özgen, 2026.
30 892 0.248392166412 Azmi C. Özgen, 2026.
30 893 0.248422043235 Azmi C. Özgen, 2026.
30 894 0.248446172694 Azmi C. Özgen, 2026.
30 895 0.248446172824 Azmi C. Özgen, 2026.
30 896 0.248446172830 Azmi C. Özgen, 2026.
30 897 0.248446179154 Azmi C. Özgen, 2026.
30 898 0.248501242009 Azmi C. Özgen, 2026.
30 899 0.248512875314 Azmi C. Özgen, 2026.
30 900 0.248550085693 Azmi C. Özgen, 2026.
30 901 0.248550093689 Azmi C. Özgen, 2026.
30 902 0.248608481271 Azmi C. Özgen, 2026.
30 903 0.248617389902 Azmi C. Özgen, 2026.
30 905 0.248619163142 Azmi C. Özgen, 2026.
30 906 0.248619163154 Azmi C. Özgen, 2026.
30 907 0.248619169492 Azmi C. Özgen, 2026.
30 908 0.248627667051 Azmi C. Özgen, 2026.
30 909 0.248680918169 Azmi C. Özgen, 2026.
30 910 0.248742880470 Azmi C. Özgen, 2026.
30 911 0.248742880637 Azmi C. Özgen, 2026.
30 912 0.248742880641 Henry Cohn, 2026, needs more optimization.
30 913 0.248742887113 Azmi C. Özgen, 2026.
30 914 0.248766101768 Azmi C. Özgen, 2026.
30 915 0.248781786213 Pavlos Moros, 2026.
30 916 0.248781886213 Pavlos Moros, 2026.
30 917 0.248822091021 Pavlos Moros, 2026.
30 918 0.248830307463 Pavlos Moros, 2026.
30 919 0.248839453479 Pavlos Moros, 2026.
30 920 0.248850678834 Pavlos Moros, 2026.
30 921 0.248859603583 Pavlos Moros, 2026.
30 922 0.248870588671 Pavlos Moros, 2026.
30 923 0.248882961202 Pavlos Moros, 2026.
30 924 0.248897594577 Pavlos Moros, 2026.
30 928 0.248916014779 Pavlos Moros, 2026.
30 929 0.248916114779 Pavlos Moros, 2026.
30 930 0.248930473849 Pavlos Moros, 2026.
30 931 0.248930573849 Pavlos Moros, 2026.
30 932 0.248943937555 Pavlos Moros, 2026.
30 933 0.248944037555 Pavlos Moros, 2026.
30 934 0.248956333231 Pavlos Moros, 2026.
30 935 0.248968226811 Pavlos Moros, 2026.
30 936 0.248981389128 Pavlos Moros, 2026.
30 937 0.248983561645 Pavlos Moros, 2026.
30 938 0.248996140859 Pavlos Moros, 2026.
30 939 0.249007175710 Pavlos Moros, 2026.
30 940 0.249020759372 Pavlos Moros, 2026.
30 941 0.249035937075 Pavlos Moros, 2026.
30 942 0.249039236118 Pavlos Moros, 2026.
30 943 0.249052879051 Pavlos Moros, 2026.
30 944 0.249081244749 Pavlos Moros, 2026.
30 945 0.249082555255 Pavlos Moros, 2026.
30 947 0.249113908655 Pavlos Moros, 2026.
30 948 0.249114008656 Henry Cohn, 2026, needs more optimization.
30 949 0.249114009082 Azmi C. Özgen, 2026.
30 950 0.249114019222 Azmi C. Özgen, 2026.
30 951 0.249129549092 Azmi C. Özgen, 2026.
30 952 0.249155429860 Azmi C. Özgen, 2026.
30 953 0.249155438250 Azmi C. Özgen, 2026.
30 954 0.249170595092 Azmi C. Özgen, 2026.
30 955 0.249215408698 Henry Cohn, 2026, needs more optimization.
30 956 0.249215416549 Azmi C. Özgen, 2026.
30 957 0.249222650785 Azmi C. Özgen, 2026.
30 958 0.249246478759 Azmi C. Özgen, 2026.
30 959 0.249280639846 Azmi C. Özgen, 2026.
30 960 0.249294342874 Azmi C. Özgen, 2026.
30 961 0.249294342881 Azmi C. Özgen, 2026.
30 962 0.249294352211 Azmi C. Özgen, 2026.
30 963 0.249323389712 Azmi C. Özgen, 2026.
30 964 0.249323643740 Azmi C. Özgen, 2026.
30 965 0.249323652704 Azmi C. Özgen, 2026.
30 966 0.249333214971 Henry Cohn, 2026, needs more optimization.
30 967 0.249333215075 Henry Cohn, 2026, needs more optimization.
30 968 0.249333215440 Henry Cohn, 2026, needs more optimization.
30 969 0.249333223162 Henry Cohn, 2026, needs more optimization.
30 970 0.249333230469 Azmi C. Özgen, 2026.
30 971 0.249333741509 Azmi C. Özgen, 2026.
30 972 0.249361256991 Azmi C. Özgen, 2026.
30 973 0.249368504960 Azmi C. Özgen, 2026.
30 974 0.249384333794 Henry Cohn, 2026, needs more optimization.
30 975 0.249384346218 Azmi C. Özgen, 2026.
30 976 0.249409163143 Azmi C. Özgen, 2026.
30 977 0.249427814784 Azmi C. Özgen, 2026.
30 978 0.249427814787 Azmi C. Özgen, 2026.
30 979 0.249427825350 Azmi C. Özgen, 2026.
30 980 0.249433218529 Azmi C. Özgen, 2026.
30 981 0.249450780807 Azmi C. Özgen, 2026.
30 982 0.249454946189 Azmi C. Özgen, 2026.
30 983 0.249454954243 Azmi C. Özgen, 2026.
30 984 0.249474818124 Azmi C. Özgen, 2026.
30 985 0.249494995476 Azmi C. Özgen, 2026.
30 986 0.249500728341 Azmi C. Özgen, 2026.
30 987 0.249500733567 Azmi C. Özgen, 2026.
30 988 0.249515491498 Azmi C. Özgen, 2026.
30 989 0.249515491521 Henry Cohn, 2026, needs more optimization.
30 990 0.249515491666 Henry Cohn, 2026, needs more optimization.
30 991 0.249515491670 Henry Cohn, 2026, needs more optimization.
30 992 0.249515503277 Azmi C. Özgen, 2026.
30 993 0.249537794581 Azmi C. Özgen, 2026.
30 994 0.249543265880 Azmi C. Özgen, 2026.
30 995 0.249545461578 Azmi C. Özgen, 2026.
30 996 0.249554169478 Azmi C. Özgen, 2026.
30 997 0.249562293774 Azmi C. Özgen, 2026.
30 998 0.249562300503 Azmi C. Özgen, 2026.
30 999 0.249562304656 Azmi C. Özgen, 2026.
30 1000 0.249563031432 Azmi C. Özgen, 2026.
30 1001 0.249563035815 Azmi C. Özgen, 2026.
30 1002 0.249563040038 Azmi C. Özgen, 2026.
30 1003 0.249713877411 Azmi C. Özgen, 2026.
30 1004 0.249713877416 Azmi C. Özgen, 2026.
30 1005 0.249713885448 Azmi C. Özgen, 2026.
30 1006 0.249723507816 Azmi C. Özgen, 2026.
30 1007 0.249731938850 Azmi C. Özgen, 2026.
30 1008 0.249734918989 Azmi C. Özgen, 2026.
30 1009 0.249739869471 Henry Cohn, 2026, needs more optimization.
30 1010 0.249739875540 Azmi C. Özgen, 2026.
30 1011 0.249742713934 Azmi C. Özgen, 2026.
30 1012 0.249743134244 Azmi C. Özgen, 2026.
30 1013 0.249743143597 Azmi C. Özgen, 2026.
30 1014 0.249755935364 Azmi C. Özgen, 2026.
30 1015 0.249764645078 Azmi C. Özgen, 2026.
30 1016 0.249764651976 Azmi C. Özgen, 2026.
30 1019 0.249809424201 Pavlos Moros, 2026.
30 1020 0.249809424586 Pavlos Moros, 2026.
30 1021 0.249809444469 Pavlos Moros, 2026.
30 1022 0.249810499639 Pavlos Moros, 2026.
30 1023 0.249810572296 Pavlos Moros, 2026.
30 1024 0.249811499224 Pavlos Moros, 2026.
31 63 0.026092422671 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
26071⁢x3−961⁢x2−31⁢x+1
31 64 0.030322662292 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
31 65 0.037040536101 Henry Cohn, 2026, needs more optimization.
31 66 0.037249051133 Henry Cohn, 2026, needs more optimization.
31 67 0.038109704996 Henry Cohn, 2026.
31 68 0.041075532616 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
31 69 0.043092400031 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
31 70 0.043156377747 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
31 71 0.044029001585 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
31 72 0.044564016321 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
31 73 0.046872508016 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
31 74 0.047441297082 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
31 75 0.050052417828 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
31 76 0.050583924084 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
31 77 0.051524127124 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
31 78 0.055152987826 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
31 79 0.056809635566 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
31 80 0.058210793301 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
31 81 0.059519854799 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
31 82 0.060853400475 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
31 83 0.061582731661 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
31 84 0.062187218111 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
31 85 0.063438707260 Azmi C. Özgen, 2026.
31 86 0.064362068208 Henry Cohn, 2026, needs more optimization.
31 87 0.065597463702 Azmi C. Özgen, 2026.
31 88 0.067035098470 Azmi C. Özgen, 2026.
31 89 0.068505793765 Henry Cohn, 2026, needs more optimization.
31 90 0.069720204889 Arhan Canli, 2026.
31 91 0.070915695915 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
31 92 0.071760316922 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
31 93 0.072795558071 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
31 94 0.073167668548 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
31 95 0.074047778646 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
31 96 0.074288475351 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
31 97 0.074605482179 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
31 98 0.076256749092 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
31 99 0.076842371191 Arhan Canli, 2026.
31 100 0.076902253773 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
31 101 0.076929383285 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
31 102 0.077131926397 Henry Cohn, 2026, needs more optimization.
31 103 0.077229741631 Henry Cohn, 2026, needs more optimization.
31 104 0.077365080729 Henry Cohn, 2026, needs more optimization.
31 105 0.077802667223 Henry Cohn, 2026, needs more optimization.
31 106 0.078186729559 Henry Cohn, 2026, needs more optimization.
31 107 0.078393765187 Henry Cohn, 2026, needs more optimization.
31 108 0.079505765564 Azmi C. Özgen, 2026.
31 109 0.079671163026 Henry Cohn, 2026, needs more optimization.
31 110 0.080208248533 Azmi C. Özgen, 2026.
31 111 0.080609091454 Arhan Canli, 2026.
31 112 0.080705998333 Henry Cohn, 2026, needs more optimization.
31 113 0.081243640518 Azmi C. Özgen, 2026.
31 114 0.081640024961 Azmi C. Özgen, 2026.
31 115 0.082043829281 Arhan Canli, 2026.
31 116 0.083356167484 Azmi C. Özgen, 2026.
31 117 0.084470807398 Arhan Canli, 2026.
31 120 0.084959387951 Henry Cohn, 2026.
115⁢x2+2⁢x−1
31 121 0.087382257832 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
31 122 0.087516194157 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
31 123 0.088359393816 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
31 124 0.088576639166 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
31 125 0.088958387187 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
31 126 0.089591918809 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
31 127 0.089599225623 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
31 128 0.089804123720 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
31 129 0.090377510283 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
31 130 0.090505165980 Henry Cohn, 2026, needs more optimization.
31 131 0.090712237595 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
31 132 0.091043997182 Henry Cohn, 2026, needs more optimization.
31 133 0.092202013141 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
31 134 0.093655093227 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
31 135 0.094003199532 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
31 139 0.094919228990 Robert Dallara, 2026.
31 140 0.095204154193 Henry Cohn, 2026, needs more optimization.
31 141 0.095375293779 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
31 142 0.095516728140 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
31 143 0.095628313571 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
31 144 0.096786288000 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
31 145 0.097077241294 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
31 146 0.097123845858 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
31 147 0.097881679938 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
31 148 0.099069163988 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
31 149 0.101300319632 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
31 150 0.103421955646 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
31 151 0.104379913165 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
31 152 0.107156671197 Azmi C. Özgen, 2026.
31 153 0.107454110202 Azmi C. Özgen, 2026.
31 154 0.108890984245 Azmi C. Özgen, 2026.
31 155 0.109449452337 Azmi C. Özgen, 2026.
31 156 0.109606296104 Azmi C. Özgen, 2026.
31 157 0.109930297886 Azmi C. Özgen, 2026.
31 159 0.110391954399 Henry Cohn, 2026, needs more optimization.
31 160 0.110974367480 Pavlos Moros, 2026.
31 161 0.111463197323 Azmi C. Özgen, 2026.
31 162 0.111916866336 Azmi C. Özgen, 2026.
31 163 0.113039202676 Azmi C. Özgen, 2026.
31 164 0.113819978798 Azmi C. Özgen, 2026.
31 165 0.114203565516 Azmi C. Özgen, 2026.
31 166 0.115441107707 Azmi C. Özgen, 2026.
31 167 0.116345367997 Azmi C. Özgen, 2026.
31 168 0.117274753372 Azmi C. Özgen, 2026.
31 169 0.118249860998 Azmi C. Özgen, 2026.
31 170 0.119251105661 Azmi C. Özgen, 2026.
31 171 0.119940536724 Azmi C. Özgen, 2026.
31 172 0.121224968781 Azmi C. Özgen, 2026.
31 173 0.122320108525 Azmi C. Özgen, 2026.
31 174 0.123626185748 Azmi C. Özgen, 2026.
31 175 0.124753328332 Pavlos Moros, 2026.
31 176 0.125599816454 Azmi C. Özgen, 2026.
31 177 0.126340504445 Azmi C. Özgen, 2026.
31 178 0.127037810112 Azmi C. Özgen, 2026.
31 179 0.127657960097 Azmi C. Özgen, 2026.
31 180 0.127763260432 Azmi C. Özgen, 2026.
31 181 0.127936740706 Azmi C. Özgen, 2026.
31 182 0.127977426466 Azmi C. Özgen, 2026.
31 183 0.128087127041 Azmi C. Özgen, 2026.
31 184 0.128135216953 Azmi C. Özgen, 2026.
31 190 0.128236103710 Henry Cohn, 2026, needs more optimization.
31 191 0.128238198028 Pavlos Moros, 2026.
31 192 0.128238265346 Pavlos Moros, 2026.
31 193 0.128238412211 Pavlos Moros, 2026.
31 194 0.128238464046 Henry Cohn, 2026, needs more optimization.
31 195 0.128238549012 Henry Cohn, 2026, needs more optimization.
31 196 0.128238554203 Henry Cohn, 2026, needs more optimization.
31 197 0.128238672694 Henry Cohn, 2026, needs more optimization.
31 198 0.128238675269 Henry Cohn, 2026, needs more optimization.
31 199 0.128238678604 Henry Cohn, 2026, needs more optimization.
31 200 0.128238678652 Henry Cohn, 2026, needs more optimization.
31 206 0.128238684469 Henry Cohn, 2026.
92⁢x2−4⁢x−1
31 207 0.128519770517 Azmi C. Özgen, 2026.
31 208 0.130789421108 Azmi C. Özgen, 2026.
31 211 0.132067527898 Henry Cohn, 2026, needs more optimization.
31 212 0.133196820563 Azmi C. Özgen, 2026.
31 213 0.134765245809 Azmi C. Özgen, 2026.
31 214 0.136133569501 Azmi C. Özgen, 2026.
31 215 0.136958689934 Azmi C. Özgen, 2026.
31 216 0.137880808612 Azmi C. Özgen, 2026.
31 217 0.139001764613 Azmi C. Özgen, 2026.
31 218 0.140297936455 Azmi C. Özgen, 2026.
31 219 0.141522554766 Azmi C. Özgen, 2026.
31 221 0.141733518430 Henry Cohn, 2026, needs more optimization.
31 222 0.142011136360 Azmi C. Özgen, 2026.
31 223 0.142062652907 Azmi C. Özgen, 2026.
31 224 0.142074316842 Robert Dallara, 2026.
31 225 0.142326995501 Azmi C. Özgen, 2026.
31 226 0.142579848046 Azmi C. Özgen, 2026.
31 227 0.142943263425 Azmi C. Özgen, 2026.
31 228 0.143145922979 Azmi C. Özgen, 2026.
31 230 0.143558443070 Arhan Canli, 2026.
31 231 0.144104147746 Azmi C. Özgen, 2026.
31 232 0.144891770049 Azmi C. Özgen, 2026.
31 233 0.145066406090 Azmi C. Özgen, 2026.
31 234 0.145229457444 Azmi C. Özgen, 2026.
31 235 0.145367115117 Azmi C. Özgen, 2026.
31 236 0.145439942265 Azmi C. Özgen, 2026.
31 237 0.145596694902 Azmi C. Özgen, 2026.
31 238 0.145693491428 Azmi C. Özgen, 2026.
31 239 0.145835107011 Azmi C. Özgen, 2026.
31 240 0.145986942856 Azmi C. Özgen, 2026.
31 241 0.145990225304 Azmi C. Özgen, 2026.
31 242 0.146171565264 Azmi C. Özgen, 2026.
31 243 0.146306757405 Azmi C. Özgen, 2026.
31 244 0.146429708622 Azmi C. Özgen, 2026.
31 245 0.146480920989 Azmi C. Özgen, 2026.
31 246 0.146643300312 Azmi C. Özgen, 2026.
31 247 0.146773202507 Azmi C. Özgen, 2026.
31 248 0.146823245222 Azmi C. Özgen, 2026.
31 249 0.147096560668 Azmi C. Özgen, 2026.
31 250 0.147143548452 Azmi C. Özgen, 2026.
31 251 0.147192727945 Azmi C. Özgen, 2026.
31 252 0.147269476966 Azmi C. Özgen, 2026.
31 253 0.147443794990 Azmi C. Özgen, 2026.
31 254 0.147525784727 Azmi C. Özgen, 2026.
31 255 0.147597025542 Azmi C. Özgen, 2026.
31 256 0.147725963686 Azmi C. Özgen, 2026.
31 257 0.147905736941 Azmi C. Özgen, 2026.
31 258 0.148253146288 Azmi C. Özgen, 2026.
31 259 0.148594137838 Azmi C. Özgen, 2026.
31 260 0.148595224714 Azmi C. Özgen, 2026.
31 261 0.148606935223 Azmi C. Özgen, 2026.
31 262 0.149039324402 Azmi C. Özgen, 2026.
31 263 0.149255807666 Azmi C. Özgen, 2026.
31 264 0.149696450304 Azmi C. Özgen, 2026.
31 265 0.150066235199 Azmi C. Özgen, 2026.
31 266 0.150501486248 Azmi C. Özgen, 2026.
31 267 0.150575139074 Azmi C. Özgen, 2026.
31 268 0.150895101401 Azmi C. Özgen, 2026.
31 269 0.151399010216 Azmi C. Özgen, 2026.
31 270 0.151944206624 Azmi C. Özgen, 2026.
31 271 0.152120251610 Henry Cohn, 2026, needs more optimization.
31 272 0.152970875570 Azmi C. Özgen, 2026.
31 273 0.154262758798 Azmi C. Özgen, 2026.
31 274 0.154445131501 Azmi C. Özgen, 2026.
31 275 0.154517563964 Azmi C. Özgen, 2026.
31 276 0.155392959539 Azmi C. Özgen, 2026.
31 277 0.155575320915 Henry Cohn, 2026, needs more optimization.
31 278 0.156409495275 Azmi C. Özgen, 2026.
31 279 0.156740150569 Azmi C. Özgen, 2026.
31 280 0.157472765679 Azmi C. Özgen, 2026.
31 281 0.158198174694 Azmi C. Özgen, 2026.
31 282 0.158771517819 Azmi C. Özgen, 2026.
31 283 0.159108593720 Azmi C. Özgen, 2026.
31 284 0.159472795335 Azmi C. Özgen, 2026.
31 285 0.160030914908 Azmi C. Özgen, 2026.
31 286 0.160424015135 Azmi C. Özgen, 2026.
31 287 0.160984997814 Azmi C. Özgen, 2026.
31 288 0.161566140745 Azmi C. Özgen, 2026.
31 289 0.161646734572 Azmi C. Özgen, 2026.
31 290 0.161686265531 Azmi C. Özgen, 2026.
31 291 0.161701628132 Azmi C. Özgen, 2026.
31 292 0.161728017692 Azmi C. Özgen, 2026.
31 293 0.161776105569 Azmi C. Özgen, 2026.
31 294 0.161791362708 Azmi C. Özgen, 2026.
31 295 0.161809171741 Pavlos Moros, 2026.
31 296 0.161849087194 Azmi C. Özgen, 2026.
31 297 0.161889965346 Azmi C. Özgen, 2026.
31 298 0.161939840689 Azmi C. Özgen, 2026.
31 299 0.161995520303 Azmi C. Özgen, 2026.
31 300 0.162103507726 Azmi C. Özgen, 2026.
31 301 0.162136073328 Azmi C. Özgen, 2026.
31 302 0.162279414139 Azmi C. Özgen, 2026.
31 303 0.162438525509 Azmi C. Özgen, 2026.
31 304 0.162481500044 Azmi C. Özgen, 2026.
31 305 0.162717677309 Azmi C. Özgen, 2026.
31 306 0.162870459938 Azmi C. Özgen, 2026.
31 307 0.162905701959 Azmi C. Özgen, 2026.
31 308 0.162924568849 Henry Cohn, 2026, needs more optimization.
31 309 0.163175839794 Azmi C. Özgen, 2026.
31 310 0.163324510055 Azmi C. Özgen, 2026.
31 311 0.163416411458 Azmi C. Özgen, 2026.
31 312 0.163511479653 Henry Cohn, 2026, needs more optimization.
31 313 0.163625646944 Azmi C. Özgen, 2026.
31 314 0.163798896796 Azmi C. Özgen, 2026.
31 315 0.163842837591 Azmi C. Özgen, 2026.
31 316 0.163884414425 Azmi C. Özgen, 2026.
31 317 0.164008157512 Azmi C. Özgen, 2026.
31 318 0.164042669185 Azmi C. Özgen, 2026.
31 319 0.164151978384 Azmi C. Özgen, 2026.
31 320 0.164264046796 Azmi C. Özgen, 2026.
31 321 0.164341790818 Azmi C. Özgen, 2026.
31 322 0.164425955081 Azmi C. Özgen, 2026.
31 323 0.164464116590 Azmi C. Özgen, 2026.
31 324 0.164626887434 Azmi C. Özgen, 2026.
31 325 0.164653294854 Azmi C. Özgen, 2026.
31 326 0.164703508305 Azmi C. Özgen, 2026.
31 327 0.164793306105 Azmi C. Özgen, 2026.
31 328 0.164926727862 Azmi C. Özgen, 2026.
31 329 0.165038954682 Azmi C. Özgen, 2026.
31 330 0.165127844140 Azmi C. Özgen, 2026.
31 331 0.165180903465 Azmi C. Özgen, 2026.
31 332 0.165206280797 Azmi C. Özgen, 2026.
31 333 0.165302565004 Azmi C. Özgen, 2026.
31 334 0.165428241181 Azmi C. Özgen, 2026.
31 335 0.165523573092 Azmi C. Özgen, 2026.
31 336 0.165558394453 Azmi C. Özgen, 2026.
31 337 0.165745362878 Azmi C. Özgen, 2026.
31 338 0.165847809073 Azmi C. Özgen, 2026.
31 339 0.165993069003 Azmi C. Özgen, 2026.
31 340 0.166121017355 Azmi C. Özgen, 2026.
31 341 0.166173056284 Azmi C. Özgen, 2026.
31 342 0.166366059196 Azmi C. Özgen, 2026.
31 343 0.166487981305 Azmi C. Özgen, 2026.
31 344 0.166529683182 Azmi C. Özgen, 2026.
31 351 0.166666666667 Kevin Li, 2026.
6⁢x−1
31 361 0.166666666667 Henry Cohn, 2026.
6⁢x−1
31 362 0.166695855029 Azmi C. Özgen, 2026.
31 367 0.166736315223 Henry Cohn, 2026, needs more optimization.
31 368 0.166825459821 Azmi C. Özgen, 2026.
31 369 0.166825654180 Azmi C. Özgen, 2026.
31 370 0.166932712561 Henry Cohn, 2026, needs more optimization.
31 371 0.167129090973 Azmi C. Özgen, 2026.
31 372 0.167600195220 Azmi C. Özgen, 2026.
31 373 0.167965093827 Azmi C. Özgen, 2026.
31 374 0.168174009639 Azmi C. Özgen, 2026.
31 375 0.169809461944 Azmi C. Özgen, 2026.
31 376 0.170772126077 Azmi C. Özgen, 2026.
31 377 0.171014972916 Azmi C. Özgen, 2026.
31 378 0.171780312457 Azmi C. Özgen, 2026.
31 379 0.172388391583 Azmi C. Özgen, 2026.
31 380 0.172918079404 Azmi C. Özgen, 2026.
31 381 0.172960888111 Henry Cohn, 2026, needs more optimization.
31 382 0.174228556949 Azmi C. Özgen, 2026.
31 383 0.175605325062 Azmi C. Özgen, 2026.
31 384 0.176435755973 Azmi C. Özgen, 2026.
31 385 0.176604311140 Azmi C. Özgen, 2026.
31 389 0.177160679596 Henry Cohn, 2026, needs more optimization.
31 390 0.180745810818 Azmi C. Özgen, 2026.
31 391 0.181275690408 Azmi C. Özgen, 2026.
31 392 0.181946374760 Azmi C. Özgen, 2026.
31 393 0.183168672246 Azmi C. Özgen, 2026.
31 394 0.183408350204 Azmi C. Özgen, 2026.
31 395 0.183600237990 Azmi C. Özgen, 2026.
31 396 0.183836778124 Azmi C. Özgen, 2026.
31 397 0.184300258547 Azmi C. Özgen, 2026.
31 398 0.184568035324 Azmi C. Özgen, 2026.
31 399 0.184839787285 Azmi C. Özgen, 2026.
31 400 0.185173142773 Azmi C. Özgen, 2026.
31 401 0.185417289058 Azmi C. Özgen, 2026.
31 402 0.185712749850 Azmi C. Özgen, 2026.
31 403 0.185984532603 Azmi C. Özgen, 2026.
31 404 0.186266614304 Azmi C. Özgen, 2026.
31 405 0.186473585325 Azmi C. Özgen, 2026.
31 406 0.186715211292 Azmi C. Özgen, 2026.
31 407 0.187112430046 Azmi C. Özgen, 2026.
31 408 0.187387164304 Azmi C. Özgen, 2026.
31 409 0.187465278208 Azmi C. Özgen, 2026.
31 410 0.187734177241 Azmi C. Özgen, 2026.
31 411 0.188015903470 Azmi C. Özgen, 2026.
31 412 0.188213600826 Azmi C. Özgen, 2026.
31 413 0.188287702105 Azmi C. Özgen, 2026.
31 414 0.188665038710 Azmi C. Özgen, 2026.
31 415 0.188897662340 Azmi C. Özgen, 2026.
31 416 0.189039786773 Azmi C. Özgen, 2026.
31 417 0.189325442035 Azmi C. Özgen, 2026.
31 418 0.189459360428 Azmi C. Özgen, 2026.
31 419 0.189793951144 Azmi C. Özgen, 2026.
31 420 0.189877068351 Azmi C. Özgen, 2026.
31 421 0.190166504114 Azmi C. Özgen, 2026.
31 422 0.190390275255 Azmi C. Özgen, 2026.
31 423 0.190639648647 Azmi C. Özgen, 2026.
31 424 0.190900183921 Azmi C. Özgen, 2026.
31 425 0.191106049760 Azmi C. Özgen, 2026.
31 426 0.191380089705 Azmi C. Özgen, 2026.
31 427 0.191435564844 Azmi C. Özgen, 2026.
31 428 0.191448543433 Azmi C. Özgen, 2026.
31 429 0.191742158881 Azmi C. Özgen, 2026.
31 430 0.191950331422 Azmi C. Özgen, 2026.
31 431 0.192205890163 Azmi C. Özgen, 2026.
31 432 0.192404582570 Azmi C. Özgen, 2026.
31 433 0.192703518846 Azmi C. Özgen, 2026.
31 434 0.192903162834 Azmi C. Özgen, 2026.
31 435 0.192919416032 Azmi C. Özgen, 2026.
31 436 0.193132833768 Azmi C. Özgen, 2026.
31 437 0.193430187657 Azmi C. Özgen, 2026.
31 439 0.193475499822 Henry Cohn, 2026, needs more optimization.
31 473 0.194630872484 Henry Cohn, 2026.
149⁢x−29
31 474 0.194820663763 Azmi C. Özgen, 2026.
31 478 0.196918776220 Henry Cohn, 2026, needs more optimization.
31 479 0.197481127883 Azmi C. Özgen, 2026.
31 480 0.197501493939 Azmi C. Özgen, 2026.
31 481 0.197528117416 Azmi C. Özgen, 2026.
31 482 0.197668477264 Azmi C. Özgen, 2026.
31 483 0.197768430515 Azmi C. Özgen, 2026.
31 484 0.197831108159 Azmi C. Özgen, 2026.
31 492 0.197874429547 Henry Cohn, 2026, needs more optimization.
31 493 0.198121018645 Henry Cohn, 2026, needs more optimization.
31 494 0.198365377887 Azmi C. Özgen, 2026.
31 495 0.198413639591 Azmi C. Özgen, 2026.
31 496 0.198458079834 Azmi C. Özgen, 2026.
31 497 0.198474110548 Azmi C. Özgen, 2026.
31 498 0.198488499365 Azmi C. Özgen, 2026.
31 499 0.198549568846 Azmi C. Özgen, 2026.
31 500 0.198551598517 Azmi C. Özgen, 2026.
31 501 0.198600350642 Azmi C. Özgen, 2026.
31 502 0.198660405255 Azmi C. Özgen, 2026.
31 503 0.198688186713 Azmi C. Özgen, 2026.
31 504 0.198735521781 Azmi C. Özgen, 2026.
31 505 0.198774956235 Azmi C. Özgen, 2026.
31 506 0.198782044042 Azmi C. Özgen, 2026.
31 507 0.198787786334 Azmi C. Özgen, 2026.
31 508 0.198788234802 Azmi C. Özgen, 2026.
31 514 0.198861114487 Henry Cohn, 2026, needs more optimization.
31 515 0.199022601613 Azmi C. Özgen, 2026.
31 516 0.199105373850 Azmi C. Özgen, 2026.
31 517 0.199109128216 Azmi C. Özgen, 2026.
31 518 0.199155314048 Azmi C. Özgen, 2026.
31 519 0.199158873609 Azmi C. Özgen, 2026.
31 520 0.199209639642 Azmi C. Özgen, 2026.
31 521 0.199222795823 Azmi C. Özgen, 2026.
31 522 0.199223209877 Azmi C. Özgen, 2026.
31 523 0.199254962485 Pavlos Moros, 2026.
31 524 0.199255123552 Pavlos Moros, 2026.
31 525 0.199264644568 Pavlos Moros, 2026.
31 526 0.199273038436 Pavlos Moros, 2026.
31 527 0.199280821941 Pavlos Moros, 2026.
31 528 0.199282744155 Pavlos Moros, 2026.
31 529 0.199293675768 Pavlos Moros, 2026.
31 530 0.199312824328 Azmi C. Özgen, 2026.
31 531 0.199315514826 Azmi C. Özgen, 2026.
31 532 0.199318247767 Azmi C. Özgen, 2026.
31 533 0.199327464813 Azmi C. Özgen, 2026.
31 534 0.199354955192 Azmi C. Özgen, 2026.
31 535 0.199358222844 Azmi C. Özgen, 2026.
31 536 0.199380177161 Azmi C. Özgen, 2026.
31 537 0.199386115996 Azmi C. Özgen, 2026.
31 538 0.199417109356 Azmi C. Özgen, 2026.
31 539 0.199435292788 Azmi C. Özgen, 2026.
31 540 0.199453281455 Azmi C. Özgen, 2026.
31 541 0.199477856504 Azmi C. Özgen, 2026.
31 542 0.199483544875 Azmi C. Özgen, 2026.
31 543 0.199483930948 Azmi C. Özgen, 2026.
31 544 0.199513141606 Azmi C. Özgen, 2026.
31 545 0.199527306762 Azmi C. Özgen, 2026.
31 546 0.199540472385 Azmi C. Özgen, 2026.
31 547 0.199569509149 Azmi C. Özgen, 2026.
31 548 0.199579215681 Azmi C. Özgen, 2026.
31 549 0.199593426411 Azmi C. Özgen, 2026.
31 550 0.199594026371 Azmi C. Özgen, 2026.
31 551 0.199603773556 Azmi C. Özgen, 2026.
31 552 0.199629246906 Azmi C. Özgen, 2026.
31 553 0.199638862181 Azmi C. Özgen, 2026.
31 554 0.199638869353 Azmi C. Özgen, 2026.
31 555 0.199647691402 Azmi C. Özgen, 2026.
31 556 0.199670454548 Henry Cohn, 2026, needs more optimization.
31 557 0.199670469583 Azmi C. Özgen, 2026.
31 558 0.199687737060 Azmi C. Özgen, 2026.
31 559 0.199688726740 Azmi C. Özgen, 2026.
31 560 0.199703988917 Azmi C. Özgen, 2026.
31 561 0.199711707471 Azmi C. Özgen, 2026.
31 562 0.199717892506 Azmi C. Özgen, 2026.
31 563 0.199718377766 Azmi C. Özgen, 2026.
31 564 0.199728667511 Azmi C. Özgen, 2026.
31 565 0.199728678997 Azmi C. Özgen, 2026.
31 566 0.199752214478 Azmi C. Özgen, 2026.
31 567 0.199752583044 Azmi C. Özgen, 2026.
31 568 0.199760788649 Azmi C. Özgen, 2026.
31 569 0.199764048260 Azmi C. Özgen, 2026.
31 570 0.199765884017 Azmi C. Özgen, 2026.
31 571 0.199765893895 Azmi C. Özgen, 2026.
31 572 0.199779645510 Azmi C. Özgen, 2026.
31 573 0.199780534783 Azmi C. Özgen, 2026.
31 574 0.199804646844 Azmi C. Özgen, 2026.
31 575 0.199807398672 Azmi C. Özgen, 2026.
31 576 0.199807411175 Azmi C. Özgen, 2026.
31 577 0.199824418589 Azmi C. Özgen, 2026.
31 578 0.199824418595 Azmi C. Özgen, 2026.
31 579 0.199824430944 Azmi C. Özgen, 2026.
31 580 0.199824963411 Azmi C. Özgen, 2026.
31 581 0.199831740781 Azmi C. Özgen, 2026.
31 582 0.199844142007 Azmi C. Özgen, 2026.
31 583 0.199844152732 Azmi C. Özgen, 2026.
31 584 0.199856576567 Azmi C. Özgen, 2026.
31 585 0.199856583177 Azmi C. Özgen, 2026.
31 688 0.2 Henry Cohn, 2026.
5⁢x−1
31 696 0.2 Azmi C. Özgen, 2026.
5⁢x−1
31 697 0.212607638732 Azmi C. Özgen, 2026.
31 698 0.215546829545 Azmi C. Özgen, 2026.
31 699 0.218442781852 Azmi C. Özgen, 2026.
31 700 0.218708970398 Azmi C. Özgen, 2026.
31 701 0.218933971294 Azmi C. Özgen, 2026.
31 702 0.219265733932 Azmi C. Özgen, 2026.
31 705 0.219405380162 Henry Cohn, 2026, needs more optimization.
31 708 0.220060438347 Henry Cohn, 2026, needs more optimization.
31 709 0.220400548732 Henry Cohn, 2026, needs more optimization.
31 710 0.221369808805 Azmi C. Özgen, 2026.
31 711 0.221647377862 Azmi C. Özgen, 2026.
31 712 0.221895522686 Azmi C. Özgen, 2026.
31 713 0.222134250241 Azmi C. Özgen, 2026.
31 714 0.222428077578 Azmi C. Özgen, 2026.
31 715 0.222750033481 Azmi C. Özgen, 2026.
31 716 0.222888942078 Azmi C. Özgen, 2026.
31 717 0.223249329143 Azmi C. Özgen, 2026.
31 718 0.223509600347 Azmi C. Özgen, 2026.
31 719 0.223758327254 Azmi C. Özgen, 2026.
31 720 0.223986389135 Azmi C. Özgen, 2026.
31 721 0.224201436091 Azmi C. Özgen, 2026.
31 722 0.224541786762 Azmi C. Özgen, 2026.
31 723 0.224685694718 Azmi C. Özgen, 2026.
31 724 0.225033107654 Azmi C. Özgen, 2026.
31 725 0.225177398909 Azmi C. Özgen, 2026.
31 726 0.225438630739 Azmi C. Özgen, 2026.
31 1024 0.225806451613 Kevin Li, 2026.
31⁢x−7
32 65 0.025347196752 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
28800⁢x3−1024⁢x2−32⁢x+1
32 66 0.029428688951 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
32 67 0.036050731887 Henry Cohn, 2026, needs more optimization.
32 68 0.036921898559 Henry Cohn, 2026.
32 69 0.037652090605 Henry Cohn, 2026.
32 70 0.040021896221 Azmi C. Özgen, 2026.
32 71 0.042706545493 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
32 72 0.042798170341 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
32 73 0.043467269975 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
32 74 0.043761897420 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
32 75 0.046379356397 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
32 76 0.046402334547 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
32 77 0.048469763910 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
32 78 0.049325951233 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
32 79 0.050832919554 Henry Cohn, 2026, needs more optimization.
32 80 0.053536439382 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
32 81 0.055107204404 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
32 82 0.056480445570 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
32 83 0.057848022736 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
32 84 0.058871329854 Arhan Canli, 2026.
32 85 0.060305120262 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
32 87 0.061570566250 Henry Cohn, 2026, needs more optimization.
32 88 0.062777635981 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
32 89 0.063491952273 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
32 90 0.065174391708 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
32 91 0.066911028790 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
32 92 0.067975618109 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
32 93 0.068547238089 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
32 94 0.069637271293 Henry Cohn, 2026, needs more optimization.
32 95 0.069805238383 Henry Cohn, 2026, needs more optimization.
32 96 0.069901093304 Henry Cohn, 2026, needs more optimization.
32 97 0.070666286606 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
32 98 0.070821861473 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
32 99 0.071000311757 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
32 100 0.071062951170 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
32 101 0.074910052250 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
32 102 0.076136905705 Azmi C. Özgen, 2026.
32 103 0.076657591236 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
32 104 0.076816334352 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
32 106 0.076944364445 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
32 107 0.077283621510 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
32 108 0.077440282243 Henry Cohn, 2026, needs more optimization.
32 109 0.077691543159 Henry Cohn, 2026, needs more optimization.
32 110 0.077978411521 Henry Cohn, 2026, needs more optimization.
32 111 0.078854823868 Azmi C. Özgen, 2026.
32 112 0.078983053821 Azmi C. Özgen, 2026.
32 113 0.079889345501 Henry Cohn, 2026, needs more optimization.
32 114 0.080426801869 Azmi C. Özgen, 2026.
32 115 0.080579468892 Henry Cohn, 2026, needs more optimization.
32 116 0.080687246796 Azmi C. Özgen, 2026.
32 117 0.080808511930 Henry Cohn, 2026, needs more optimization.
32 118 0.081128936404 Azmi C. Özgen, 2026.
32 119 0.082491549310 Azmi C. Özgen, 2026.
32 120 0.083459767957 Azmi C. Özgen, 2026.
32 121 0.084267209896 Azmi C. Özgen, 2026.
32 122 0.084291754582 Azmi C. Özgen, 2026.
32 123 0.084399946239 Henry Cohn, 2026, needs more optimization.
32 124 0.085078033750 Henry Cohn, 2026, needs more optimization.
32 125 0.086128617534 Azmi C. Özgen, 2026.
32 126 0.086637316923 Azmi C. Özgen, 2026.
32 127 0.087358045507 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
32 128 0.087392988271 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
32 129 0.087425121814 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
32 130 0.087432464289 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
32 131 0.087494908876 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
32 132 0.088473191143 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
32 133 0.089357358433 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
32 134 0.089446066631 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
32 135 0.090077107899 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
32 136 0.090628053770 Pavlos Moros, 2026.
32 137 0.091762398560 Azmi C. Özgen, 2026.
32 138 0.092489592149 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
32 139 0.092507950060 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
32 141 0.092915397325 Henry Cohn, 2026, needs more optimization.
32 142 0.093367084115 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
32 143 0.093547288272 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
32 144 0.093674956853 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
32 145 0.093867205293 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
32 146 0.094062256445 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
32 147 0.094277966689 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
32 148 0.094571371697 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
32 149 0.094740615043 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
32 150 0.096193603075 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
32 151 0.096698833981 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
32 152 0.097435930170 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
32 153 0.099719234877 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
32 154 0.100548706284 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
32 155 0.100944452121 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
32 156 0.101437847245 Ilmari Vahteristo, New spherical codes by tuning an annealing solver, preprint, 2026, arXiv:2610.19988.
32 157 0.104336026009 Azmi C. Özgen, 2026.
32 158 0.104749783861 Azmi C. Özgen, 2026.
32 159 0.105409319778 Azmi C. Özgen, 2026.
32 160 0.105948165378 Azmi C. Özgen, 2026.
32 161 0.106890106511 Azmi C. Özgen, 2026.
32 162 0.108159644595 Azmi C. Özgen, 2026.
32 163 0.108855127601 Henry Cohn, 2026, needs more optimization.
32 164 0.109435808707 Azmi C. Özgen, 2026.
32 165 0.110037702297 Azmi C. Özgen, 2026.
32 166 0.110611258042 Azmi C. Özgen, 2026.
32 167 0.111402250537 Azmi C. Özgen, 2026.
32 168 0.112036118048 Azmi C. Özgen, 2026.
32 169 0.112674561694 Azmi C. Özgen, 2026.
32 170 0.113492063732 Azmi C. Özgen, 2026.
32 171 0.114340347140 Henry Cohn, 2026, needs more optimization.
32 172 0.115391760955 Azmi C. Özgen, 2026.
32 173 0.116291148810 Azmi C. Özgen, 2026.
32 174 0.117020215317 Azmi C. Özgen, 2026.
32 175 0.118169617192 Azmi C. Özgen, 2026.
32 176 0.118961914709 Azmi C. Özgen, 2026.
32 177 0.119530190299 Azmi C. Özgen, 2026.
32 178 0.120374691336 Azmi C. Özgen, 2026.
32 179 0.121260594413 Azmi C. Özgen, 2026.
32 180 0.121942566864 Azmi C. Özgen, 2026.
32 181 0.122662870538 Azmi C. Özgen, 2026.
32 182 0.123457701734 Azmi C. Özgen, 2026.
32 183 0.124129796942 Pavlos Moros, 2026.
32 184 0.125007062850 Azmi C. Özgen, 2026.
32 185 0.125742662661 Azmi C. Özgen, 2026.
32 186 0.126189689189 Azmi C. Özgen, 2026.
32 187 0.126877218810 Azmi C. Özgen, 2026.
32 188 0.127557457743 Azmi C. Özgen, 2026.
32 191 0.127979593861 Arhan Canli, 2026.
32 192 0.128159528365 Arhan Canli, 2026.
32 193 0.128167496993 Arhan Canli, 2026.
32 194 0.128171189584 Pavlos Moros, 2026.
32 195 0.128182717055 Pavlos Moros, 2026.
32 196 0.128190975337 Pavlos Moros, 2026.
32 197 0.128193889851 Pavlos Moros, 2026.
32 198 0.128203861553 Pavlos Moros, 2026.
32 199 0.128204234692 Pavlos Moros, 2026.
32 200 0.128208077143 Pavlos Moros, 2026.
32 201 0.128215859125 Pavlos Moros, 2026.
32 202 0.128223643321 Pavlos Moros, 2026.
32 203 0.128231193414 Azmi C. Özgen, 2026.
32 204 0.128232451024 Pavlos Moros, 2026.
32 205 0.128233799232 Azmi C. Özgen, 2026.
32 206 0.128234940256 Azmi C. Özgen, 2026.
32 207 0.128235864160 Pavlos Moros, 2026.
32 208 0.128236117867 Pavlos Moros, 2026.
32 209 0.128238180065 Azmi C. Özgen, 2026.
32 210 0.128238848317 Azmi C. Özgen, 2026.
32 211 0.128688582437 Azmi C. Özgen, 2026.
32 213 0.128765404947 Azmi C. Özgen, 2026.
32 214 0.130238667613 Azmi C. Özgen, 2026.
32 215 0.131461422072 Azmi C. Özgen, 2026.
32 216 0.132047003450 Azmi C. Özgen, 2026.
32 217 0.132693459260 Azmi C. Özgen, 2026.
32 218 0.134215458744 Azmi C. Özgen, 2026.
32 219 0.134473554949 Azmi C. Özgen, 2026.
32 220 0.136972954542 Azmi C. Özgen, 2026.
32 221 0.138030141069 Azmi C. Özgen, 2026.
32 222 0.140413854669 Azmi C. Özgen, 2026.
32 224 0.140423151596 Arhan Canli, 2026.
32 225 0.140517353070 Azmi C. Özgen, 2026.
32 226 0.140640293525 Azmi C. Özgen, 2026.
32 228 0.140789354416 Henry Cohn, 2026, needs more optimization.
32 229 0.141394548382 Azmi C. Özgen, 2026.
32 231 0.141407669626 Henry Cohn, 2026, needs more optimization.
32 232 0.141615251628 Henry Cohn, 2026, needs more optimization.
32 233 0.141625222985 Azmi C. Özgen, 2026.
32 234 0.141758022433 Azmi C. Özgen, 2026.
32 235 0.142050239011 Azmi C. Özgen, 2026.
32 236 0.142665357295 Azmi C. Özgen, 2026.
32 237 0.142733726808 Azmi C. Özgen, 2026.
32 238 0.142847562768 Azmi C. Özgen, 2026.
32 239 0.143027296759 Azmi C. Özgen, 2026.
32 240 0.143532244778 Pavlos Moros, 2026.
32 241 0.143616542858 Azmi C. Özgen, 2026.
32 242 0.143625565835 Azmi C. Özgen, 2026.
32 243 0.143994481220 Pavlos Moros, 2026.
32 244 0.144154674836 Azmi C. Özgen, 2026.
32 245 0.144807586923 Azmi C. Özgen, 2026.
32 246 0.144942916435 Azmi C. Özgen, 2026.
32 247 0.144997225518 Azmi C. Özgen, 2026.
32 248 0.145285017999 Pavlos Moros, 2026.
32 249 0.145434463070 Azmi C. Özgen, 2026.
32 250 0.145774529037 Azmi C. Özgen, 2026.
32 251 0.145952367358 Azmi C. Özgen, 2026.
32 252 0.146013800287 Azmi C. Özgen, 2026.
32 253 0.146229328831 Azmi C. Özgen, 2026.
32 254 0.146349181514 Azmi C. Özgen, 2026.
32 255 0.146468006018 Azmi C. Özgen, 2026.
32 256 0.146561868702 Azmi C. Özgen, 2026.
32 257 0.146567851335 Azmi C. Özgen, 2026.
32 258 0.146613424973 Azmi C. Özgen, 2026.
32 259 0.146835473416 Azmi C. Özgen, 2026.
32 260 0.147129302243 Azmi C. Özgen, 2026.
32 261 0.147283924248 Azmi C. Özgen, 2026.
32 262 0.147385705636 Azmi C. Özgen, 2026.
32 263 0.147934868120 Azmi C. Özgen, 2026.
32 264 0.147991978608 Azmi C. Özgen, 2026.
32 265 0.148143999721 Azmi C. Özgen, 2026.
32 266 0.148308089330 Azmi C. Özgen, 2026.
32 267 0.148346485982 Azmi C. Özgen, 2026.
32 268 0.148579725634 Azmi C. Özgen, 2026.
32 269 0.148900518776 Azmi C. Özgen, 2026.
32 270 0.149026726352 Azmi C. Özgen, 2026.
32 271 0.149328172489 Azmi C. Özgen, 2026.
32 272 0.149679406829 Azmi C. Özgen, 2026.
32 273 0.150393780938 Robert Dallara, 2026.
32 274 0.150532394414 Azmi C. Özgen, 2026.
32 276 0.151298718122 Henry Cohn, 2026, needs more optimization.
32 279 0.151992101282 Henry Cohn, 2026, needs more optimization.
32 280 0.153064616310 Azmi C. Özgen, 2026.
32 281 0.153515306006 Azmi C. Özgen, 2026.
32 284 0.153536962733 Uploaded by anonymous internet user, 2026.
32 285 0.155086333142 Azmi C. Özgen, 2026.
32 288 0.155523873776 Henry Cohn, 2026, needs more optimization.
32 289 0.156781247486 Azmi C. Özgen, 2026.
32 290 0.157145112209 Azmi C. Özgen, 2026.
32 291 0.157454877612 Azmi C. Özgen, 2026.
32 292 0.158167994438 Azmi C. Özgen, 2026.
32 293 0.158357521157 Azmi C. Özgen, 2026.
32 294 0.158858874266 Azmi C. Özgen, 2026.
32 296 0.159044210669 Henry Cohn, 2026, needs more optimization.
32 297 0.159858922469 Azmi C. Özgen, 2026.
32 298 0.160449115601 Azmi C. Özgen, 2026.
32 299 0.160870823795 Azmi C. Özgen, 2026.
32 300 0.160912293993 Azmi C. Özgen, 2026.
32 301 0.160955785716 Azmi C. Özgen, 2026.
32 302 0.161055388916 Azmi C. Özgen, 2026.
32 303 0.161203291115 Azmi C. Özgen, 2026.
32 304 0.161323817462 Azmi C. Özgen, 2026.
32 305 0.161428287708 Azmi C. Özgen, 2026.
32 306 0.161435124828 Azmi C. Özgen, 2026.
32 307 0.161557679821 Azmi C. Özgen, 2026.
32 308 0.161617283887 Azmi C. Özgen, 2026.
32 309 0.161679536687 Azmi C. Özgen, 2026.
32 310 0.161710035871 Henry Cohn, 2026, needs more optimization.
32 311 0.161788133926 Azmi C. Özgen, 2026.
32 312 0.161844663176 Azmi C. Özgen, 2026.
32 313 0.161860171768 Pavlos Moros, 2026.
32 314 0.161924167481 Azmi C. Özgen, 2026.
32 315 0.161946966499 Azmi C. Özgen, 2026.
32 316 0.162015156945 Azmi C. Özgen, 2026.
32 317 0.162040435209 Azmi C. Özgen, 2026.
32 318 0.162172151845 Azmi C. Özgen, 2026.
32 319 0.162226041850 Azmi C. Özgen, 2026.
32 320 0.162266774957 Azmi C. Özgen, 2026.
32 321 0.162304519504 Henry Cohn, 2026, needs more optimization.
32 322 0.162484708616 Azmi C. Özgen, 2026.
32 323 0.162531750163 Azmi C. Özgen, 2026.
32 324 0.162638729164 Azmi C. Özgen, 2026.
32 325 0.162718712212 Azmi C. Özgen, 2026.
32 326 0.162853466617 Azmi C. Özgen, 2026.
32 327 0.162968442325 Azmi C. Özgen, 2026.
32 328 0.163040153009 Azmi C. Özgen, 2026.
32 329 0.163146477633 Azmi C. Özgen, 2026.
32 330 0.163263202905 Azmi C. Özgen, 2026.
32 331 0.163336262683 Azmi C. Özgen, 2026.
32 332 0.163453641018 Azmi C. Özgen, 2026.
32 333 0.163545384245 Azmi C. Özgen, 2026.
32 334 0.163648439110 Azmi C. Özgen, 2026.
32 335 0.163746283125 Azmi C. Özgen, 2026.
32 336 0.163800068757 Azmi C. Özgen, 2026.
32 337 0.163973674203 Azmi C. Özgen, 2026.
32 338 0.164028053432 Azmi C. Özgen, 2026.
32 339 0.164292969071 Azmi C. Özgen, 2026.
32 340 0.164323420164 Azmi C. Özgen, 2026.
32 341 0.164407757839 Azmi C. Özgen, 2026.
32 342 0.164508032967 Azmi C. Özgen, 2026.
32 343 0.164587956670 Azmi C. Özgen, 2026.
32 344 0.164660266940 Azmi C. Özgen, 2026.
32 345 0.164739178461 Azmi C. Özgen, 2026.
32 346 0.164788312160 Azmi C. Özgen, 2026.
32 347 0.164993995229 Azmi C. Özgen, 2026.
32 348 0.165109143219 Azmi C. Özgen, 2026.
32 349 0.165195803717 Azmi C. Özgen, 2026.
32 350 0.165322855797 Azmi C. Özgen, 2026.
32 351 0.165542843666 Azmi C. Özgen, 2026.
32 352 0.165660498759 Azmi C. Özgen, 2026.
32 353 0.165727059723 Azmi C. Özgen, 2026.
32 354 0.165994045727 Azmi C. Özgen, 2026.
32 355 0.166131251108 Azmi C. Özgen, 2026.
32 356 0.166602636996 Pavlos Moros, 2026.
32 357 0.166605829617 Pavlos Moros, 2026.
32 358 0.166607809990 Azmi C. Özgen, 2026.
32 377 0.166666666667 Henry Cohn, 2026.
6⁢x−1
32 378 0.166767669510 Azmi C. Özgen, 2026.
32 379 0.166869591700 Azmi C. Özgen, 2026.
32 380 0.167035022861 Azmi C. Özgen, 2026.
32 381 0.167482822392 Azmi C. Özgen, 2026.
32 382 0.167673795546 Azmi C. Özgen, 2026.
32 383 0.168016354776 Azmi C. Özgen, 2026.
32 384 0.168668308774 Azmi C. Özgen, 2026.
32 385 0.169010123685 Azmi C. Özgen, 2026.
32 386 0.169367701428 Azmi C. Özgen, 2026.
32 387 0.169529185818 Azmi C. Özgen, 2026.
32 388 0.170064776802 Azmi C. Özgen, 2026.
32 389 0.170846757705 Azmi C. Özgen, 2026.
32 390 0.170965384490 Azmi C. Özgen, 2026.
32 391 0.171961389861 Azmi C. Özgen, 2026.
32 392 0.172232158740 Azmi C. Özgen, 2026.
32 393 0.172814389432 Azmi C. Özgen, 2026.
32 394 0.172869626589 Azmi C. Özgen, 2026.
32 395 0.173437764903 Azmi C. Özgen, 2026.
32 396 0.174550520859 Azmi C. Özgen, 2026.
32 397 0.176070406571 Azmi C. Özgen, 2026.
32 398 0.176634772973 Azmi C. Özgen, 2026.
32 399 0.177179797302 Azmi C. Özgen, 2026.
32 400 0.177806621806 Azmi C. Özgen, 2026.
32 401 0.178571548894 Azmi C. Özgen, 2026.
32 402 0.179489006176 Pavlos Moros, 2026.
32 403 0.180681110828 Azmi C. Özgen, 2026.
32 404 0.180746713241 Azmi C. Özgen, 2026.
32 405 0.180871543959 Azmi C. Özgen, 2026.
32 406 0.181153064236 Azmi C. Özgen, 2026.
32 407 0.181462437923 Azmi C. Özgen, 2026.
32 408 0.181654028330 Azmi C. Özgen, 2026.
32 409 0.182062553317 Azmi C. Özgen, 2026.
32 410 0.182389385963 Azmi C. Özgen, 2026.
32 411 0.182672410647 Azmi C. Özgen, 2026.
32 412 0.182775899089 Azmi C. Özgen, 2026.
32 413 0.183044712044 Azmi C. Özgen, 2026.
32 414 0.183249650704 Azmi C. Özgen, 2026.
32 415 0.183427429258 Azmi C. Özgen, 2026.
32 416 0.183699776427 Azmi C. Özgen, 2026.
32 417 0.184016803085 Azmi C. Özgen, 2026.
32 418 0.184419521730 Azmi C. Özgen, 2026.
32 419 0.184805579532 Azmi C. Özgen, 2026.
32 420 0.184942350151 Azmi C. Özgen, 2026.
32 421 0.185410705553 Azmi C. Özgen, 2026.
32 422 0.185668763860 Azmi C. Özgen, 2026.
32 423 0.185781469340 Azmi C. Özgen, 2026.
32 424 0.185786924517 Azmi C. Özgen, 2026.
32 425 0.185974878496 Azmi C. Özgen, 2026.
32 428 0.186146403935 Henry Cohn, 2026, needs more optimization.
32 429 0.187101097571 Azmi C. Özgen, 2026.
32 431 0.187117461876 Henry Cohn, 2026, needs more optimization.
32 432 0.187780701938 Azmi C. Özgen, 2026.
32 433 0.188036778494 Azmi C. Özgen, 2026.
32 434 0.188170610442 Azmi C. Özgen, 2026.
32 435 0.188309347342 Azmi C. Özgen, 2026.
32 436 0.188503958803 Azmi C. Özgen, 2026.
32 437 0.188682397497 Azmi C. Özgen, 2026.
32 438 0.188790727324 Azmi C. Özgen, 2026.
32 440 0.188868635728 Henry Cohn, 2026, needs more optimization.
32 441 0.189113838503 Henry Cohn, 2026, needs more optimization.
32 442 0.189604621744 Azmi C. Özgen, 2026.
32 443 0.189618583268 Azmi C. Özgen, 2026.
32 446 0.189669478771 Henry Cohn, 2026, needs more optimization.
32 447 0.190218127280 Azmi C. Özgen, 2026.
32 448 0.190472738784 Azmi C. Özgen, 2026.
32 449 0.190861290827 Azmi C. Özgen, 2026.
32 450 0.190942479019 Azmi C. Özgen, 2026.
32 451 0.191217940577 Azmi C. Özgen, 2026.
32 452 0.191321983590 Azmi C. Özgen, 2026.
32 453 0.191485766115 Azmi C. Özgen, 2026.
32 454 0.191533168491 Azmi C. Özgen, 2026.
32 455 0.191665548042 Azmi C. Özgen, 2026.
32 456 0.191888447503 Azmi C. Özgen, 2026.
32 457 0.191955560744 Azmi C. Özgen, 2026.
32 458 0.192068799193 Azmi C. Özgen, 2026.
32 459 0.192235340451 Azmi C. Özgen, 2026.
32 462 0.192364509541 Henry Cohn, 2026, needs more optimization.
32 463 0.192855514965 Azmi C. Özgen, 2026.
32 464 0.192975384403 Azmi C. Özgen, 2026.
32 465 0.193130907984 Azmi C. Özgen, 2026.
32 466 0.193293338227 Azmi C. Özgen, 2026.
32 467 0.193386527826 Azmi C. Özgen, 2026.
32 468 0.193501491245 Azmi C. Özgen, 2026.
32 469 0.193721422917 Azmi C. Özgen, 2026.
32 470 0.193814528265 Azmi C. Özgen, 2026.
32 471 0.193877612659 Azmi C. Özgen, 2026.
32 472 0.193902734850 Azmi C. Özgen, 2026.
32 473 0.194099092681 Azmi C. Özgen, 2026.
32 474 0.194120485526 Azmi C. Özgen, 2026.
32 475 0.194268027596 Azmi C. Özgen, 2026.
32 476 0.194344222314 Azmi C. Özgen, 2026.
32 477 0.194496137494 Azmi C. Özgen, 2026.
32 478 0.194597733799 Azmi C. Özgen, 2026.
32 479 0.194648129297 Azmi C. Özgen, 2026.
32 528 0.195121951220 Henry Cohn, 2026.
41⁢x−8
32 545 0.198713758282 Henry Cohn, 2026, needs more optimization.
32 546 0.199308177228 Azmi C. Özgen, 2026.
32 547 0.199308564123 Azmi C. Özgen, 2026.
32 548 0.199323522623 Azmi C. Özgen, 2026.
32 569 0.199347894482 Henry Cohn, 2026, needs more optimization.
32 570 0.199471988266 Azmi C. Özgen, 2026.
32 571 0.199486386291 Azmi C. Özgen, 2026.
32 572 0.199486517991 Azmi C. Özgen, 2026.
32 573 0.199487769569 Azmi C. Özgen, 2026.
32 574 0.199487769573 Azmi C. Özgen, 2026.
32 575 0.199487781503 Azmi C. Özgen, 2026.
32 576 0.199524270724 Azmi C. Özgen, 2026.
32 577 0.199532068834 Azmi C. Özgen, 2026.
32 578 0.199539731222 Azmi C. Özgen, 2026.
32 579 0.199539741152 Azmi C. Özgen, 2026.
32 580 0.199544382421 Azmi C. Özgen, 2026.
32 581 0.199544392474 Azmi C. Özgen, 2026.
32 582 0.199558513951 Azmi C. Özgen, 2026.
32 583 0.199576855152 Azmi C. Özgen, 2026.
32 584 0.199576864640 Azmi C. Özgen, 2026.
32 585 0.199590767723 Azmi C. Özgen, 2026.
32 586 0.199622182006 Azmi C. Özgen, 2026.
32 587 0.199622193552 Azmi C. Özgen, 2026.
32 588 0.199628432489 Azmi C. Özgen, 2026.
32 589 0.199633175285 Azmi C. Özgen, 2026.
32 590 0.199650230437 Azmi C. Özgen, 2026.
32 591 0.199662731578 Azmi C. Özgen, 2026.
32 592 0.199671977668 Azmi C. Özgen, 2026.
32 596 0.199674551990 Henry Cohn, 2026, needs more optimization.
32 597 0.199779980437 Azmi C. Özgen, 2026.
32 598 0.199836495575 Azmi C. Özgen, 2026.
32 599 0.199879813434 Azmi C. Özgen, 2026.
32 600 0.199882052176 Azmi C. Özgen, 2026.
32 601 0.199882063694 Azmi C. Özgen, 2026.
32 602 0.199882073899 Azmi C. Özgen, 2026.
32 603 0.199893534645 Azmi C. Özgen, 2026.
32 604 0.199893540230 Azmi C. Özgen, 2026.
32 605 0.199902655790 Azmi C. Özgen, 2026.
32 606 0.199906117093 Azmi C. Özgen, 2026.
32 607 0.199906117173 Azmi C. Özgen, 2026.
32 608 0.199906128626 Azmi C. Özgen, 2026.
32 609 0.199906140753 Azmi C. Özgen, 2026.
32 610 0.199912611467 Azmi C. Özgen, 2026.
32 611 0.199915472819 Azmi C. Özgen, 2026.
32 612 0.199921743620 Azmi C. Özgen, 2026.
32 613 0.199921754414 Azmi C. Özgen, 2026.
32 614 0.199923073564 Azmi C. Özgen, 2026.
32 615 0.199923073582 Azmi C. Özgen, 2026.
32 616 0.199923074024 Azmi C. Özgen, 2026.
32 617 0.199923086328 Azmi C. Özgen, 2026.
32 618 0.199930010535 Azmi C. Özgen, 2026.
32 619 0.199930021444 Azmi C. Özgen, 2026.
32 620 0.199940590781 Azmi C. Özgen, 2026.
32 704 0.2 Henry Cohn, 2026.
5⁢x−1
32 705 0.209382766930 Azmi C. Özgen, 2026.
32 706 0.212484283127 Azmi C. Özgen, 2026.
32 707 0.212613239777 Azmi C. Özgen, 2026.
32 708 0.212863925499 Azmi C. Özgen, 2026.
32 709 0.213058167585 Azmi C. Özgen, 2026.
32 710 0.213849140778 Azmi C. Özgen, 2026.
32 711 0.214070172892 Azmi C. Özgen, 2026.
32 712 0.214227016438 Azmi C. Özgen, 2026.
32 713 0.214425781695 Azmi C. Özgen, 2026.
32 714 0.214598852302 Azmi C. Özgen, 2026.
32 715 0.214739983045 Azmi C. Özgen, 2026.
32 716 0.214964722019 Azmi C. Özgen, 2026.
32 717 0.215179239818 Azmi C. Özgen, 2026.
32 720 0.215309236648 Henry Cohn, 2026, needs more optimization.
32 721 0.216536536179 Azmi C. Özgen, 2026.
32 722 0.216811961863 Azmi C. Özgen, 2026.
32 723 0.216998761009 Azmi C. Özgen, 2026.
32 724 0.217290726104 Azmi C. Özgen, 2026.
32 725 0.217441692943 Azmi C. Özgen, 2026.
32 726 0.217638217683 Azmi C. Özgen, 2026.
32 727 0.217852254189 Azmi C. Özgen, 2026.
32 728 0.217902634719 Azmi C. Özgen, 2026.
32 729 0.218060846456 Azmi C. Özgen, 2026.
32 730 0.218235436663 Azmi C. Özgen, 2026.
32 735 0.218479763687 Henry Cohn, 2026, needs more optimization.
32 738 0.219341498620 Henry Cohn, 2026, needs more optimization.
32 739 0.220352047293 Azmi C. Özgen, 2026.
32 740 0.220484708055 Azmi C. Özgen, 2026.
32 741 0.221256687415 Azmi C. Özgen, 2026.
32 742 0.221373595299 Azmi C. Özgen, 2026.
32 743 0.221482737021 Azmi C. Özgen, 2026.
32 744 0.221627601188 Azmi C. Özgen, 2026.
32 745 0.221761548486 Azmi C. Özgen, 2026.
32 746 0.221908203644 Azmi C. Özgen, 2026.
32 747 0.221990210662 Azmi C. Özgen, 2026.
32 748 0.222090017122 Azmi C. Özgen, 2026.
32 749 0.222165913421 Azmi C. Özgen, 2026.
32 754 0.223072136167 Henry Cohn, 2026, needs more optimization.
32 755 0.223757439649 Azmi C. Özgen, 2026.
32 756 0.223879320461 Azmi C. Özgen, 2026.
32 757 0.224032953107 Azmi C. Özgen, 2026.
32 758 0.224173022045 Azmi C. Özgen, 2026.
32 759 0.224998895059 Azmi C. Özgen, 2026.
32 760 0.225114571191 Azmi C. Özgen, 2026.
32 761 0.225224652051 Azmi C. Özgen, 2026.
32 762 0.225255307658 Azmi C. Özgen, 2026.
32 763 0.225432312917 Azmi C. Özgen, 2026.
32 764 0.225503666676 Azmi C. Özgen, 2026.
32 765 0.225589677603 Azmi C. Özgen, 2026.
32 1024 0.225806451613 Code with 1024 points in 31 dimensions.
31⁢x−7
52 325* 0.0625 P. J. Cameron, J. M. Goethals, and J. J. Seidel, Strongly regular graphs having strongly regular subconstituents, J. Algebra 55 (1978), 257–280, doi:10.1016/0021-8693(78)90220-X; V. I. Levenshtein, Designs as maximum codes in polynomial metric spaces, Acta Appl. Math. 29 (1992), 1–82, doi:10.1007/BF00053379.
16⁢x−1
64 4224* 0.125 V. I. Levenšteĭn, Bounds for the maximal cardinality of a code with bounded modulus of the inner product (Russian), Dokl. Akad. Nauk SSSR 263 (1982), 1303–1308, English translation in Soviet Math. Dokl. 25 (1982), 526–531; H. Cohn, D. de Laat, and N. Leijenhorst, Optimality of spherical codes via exact semidefinite programming bounds, preprint, 2024, arXiv:2403.16874.
8⁢x−1