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.
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 0.943652307933 James Buddenhagen and D. A. Kottwitz, 1997.
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 0.946396812867 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.
3 126 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 0.958127175342 Henry Cohn, 2024.
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 0.960986467408 Henry Cohn, 2025.
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 0.962987455061 Henry Cohn, 2024.
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 0.965468021791 Henry Cohn, 2024.
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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.
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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.
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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.
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3 300 0.977219217071 R. H. Hardin, N. J. A. Sloane, and W. D. Smith, Tables of spherical codes with icosahedral symmetry, 1994–2000.
3 301 0.977392313268 Henry Cohn, 2024.
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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.
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3 387 0.982346497568 Henry Cohn, 2024.
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3 389 0.982417056387 Henry Cohn, 2026.
3 390 0.982501966288 Henry Cohn, 2026.
3 391 0.982555955538 Henry Cohn, 2024.
3 392 0.982589345996 Henry Cohn, 2026.
3 393 0.982649357699 Henry Cohn, 2024.
3 394 0.982692375827 Henry Cohn, 2024.
3 395 0.982725465540 Henry Cohn, 2024.
3 396 0.982766035471 Henry Cohn, 2026.
3 397 0.982799147942 Henry Cohn, 2024.
3 398 0.982819632865 Henry Cohn, 2026.
3 399 0.982857394032 Henry Cohn, 2024.
3 400 0.982906175130 Henry Cohn, 2026.
3 401 0.982950664530 Henry Cohn, 2024.
3 402 0.982983355551 Henry Cohn, 2024.
3 403 0.983049964328 Henry Cohn, 2024.
3 404 0.983111162319 Henry Cohn, 2024.
3 405 0.983168565133 Henry Cohn, 2024.
3 406 0.983206265163 Henry Cohn, 2024.
3 407 0.983247933087 Henry Cohn, 2024.
3 408 0.983288123210 Henry Cohn, 2024.
3 409 0.983324857501 Henry Cohn, 2024.
3 410 0.983356947085 Henry Cohn, 2024.
3 411 0.983397760620 Henry Cohn, 2024.
3 412 0.983428600189 Henry Cohn, 2024.
3 413 0.983461427167 Henry Cohn, 2024.
3 414 0.983495155996 Henry Cohn, 2024.
3 415 0.983545319874 Henry Cohn, 2024.
3 416 0.983572356049 Henry Cohn, 2024.
3 417 0.983606629507 Henry Cohn, 2024.
3 418 0.983668285529 Henry Cohn, 2024.
3 419 0.983709311243 Henry Cohn, 2024.
3 420 0.983735772266 Henry Cohn, 2024.
3 421 0.983801876824 Henry Cohn, 2024.
3 422 0.983837084033 Henry Cohn, 2024.
3 423 0.983879327689 Henry Cohn, 2024.
3 424 0.983915009758 Henry Cohn, 2024.
3 425 0.983947724258 Henry Cohn, 2024.
3 426 0.983967656850 Henry Cohn, 2024.
3 427 0.984017759902 Henry Cohn, 2024.
3 428 0.984060532882 Henry Cohn, 2024.
3 429 0.984101619024 Henry Cohn, 2024.
3 430 0.984134891966 Henry Cohn, 2024.
3 431 0.984165514392 Henry Cohn, 2024.
3 432 0.984201636678 Henry Cohn, 2024.
3 433 0.984246511178 Henry Cohn, 2024.
3 434 0.984282456244 Henry Cohn, 2024.
3 435 0.984322511170 Henry Cohn, 2024.
3 436 0.984359381087 Henry Cohn, 2024.
3 437 0.984376596212 Henry Cohn, 2024.
3 438 0.984419779873 Henry Cohn, 2024.
3 439 0.984459277522 Henry Cohn, 2024.
3 440 0.984472421765 Henry Cohn, 2024.
3 441 0.984527980944 Henry Cohn, 2024.
3 442 0.984559589051 Henry Cohn, 2024.
3 443 0.984592266668 Henry Cohn, 2024.
3 444 0.984628415926 Henry Cohn, 2024.
3 445 0.984667372266 Henry Cohn, 2024.
3 446 0.984702068844 Henry Cohn, 2024.
3 447 0.984730509217 Henry Cohn, 2024.
3 448 0.984778913431 Henry Cohn, 2024.
3 449 0.984813716313 Henry Cohn, 2024.
3 450 0.984846922701 Henry Cohn, 2024.
3 451 0.984872959879 Henry Cohn, 2024.
3 452 0.984911000119 Henry Cohn, 2024.
3 453 0.984942286924 Henry Cohn, 2024.
3 454 0.984966631268 Henry Cohn, 2024.
3 455 0.984994478749 Henry Cohn, 2024.
3 456 0.985031017295 Henry Cohn, 2024.
3 457 0.985064695326 Henry Cohn, 2024.
3 458 0.985097884587 Henry Cohn, 2024.
3 459 0.985126768610 Henry Cohn, 2024.
3 460 0.985147680864 Henry Cohn, 2026.
3 461 0.985184258024 Henry Cohn, 2026.
3 462 0.985225068423 Henry Cohn, 2024.
3 463 0.985261648362 Henry Cohn, 2024.
3 464 0.985297019485 Henry Cohn, 2024.
3 465 0.985321750708 Henry Cohn, 2024.
3 466 0.985359897849 Henry Cohn, 2024.
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 0.985527599242 Henry Cohn, 2024.
3 473 0.985558412595 Henry Cohn, 2024.
3 474 0.985607101360 Henry Cohn, 2024.
3 475 0.985630320536 Henry Cohn, 2024.
3 476 0.985631106740 Henry Cohn, 2026.
3 477 0.985650812954 Henry Cohn, 2026.
3 478 0.985679876222 Henry Cohn, 2026.
3 479 0.985721375406 Henry Cohn, 2026.
3 480 0.985721861452 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.
3 481 0.985794622844 Henry Cohn, 2026.
3 482 0.985842699690 Henry Cohn, 2024.
3 483 0.985872483761 Henry Cohn, 2024.
3 484 0.985900122939 Henry Cohn, 2024.
3 485 0.985924698901 Henry Cohn, 2024.
3 486 0.985950768752 Henry Cohn, 2024.
3 487 0.985985004243 Henry Cohn, 2024.
3 488 0.986009149228 Henry Cohn, 2024.
3 489 0.986026483781 Henry Cohn, 2024.
3 490 0.986063292599 Henry Cohn, 2024.
3 491 0.986099610800 Henry Cohn, 2024.
3 492 0.986121929372 Henry Cohn, 2024.
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3 494 0.986186402493 Henry Cohn, 2024.
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3 497 0.986267131233 Henry Cohn, 2024.
3 498 0.986298103712 Henry Cohn, 2024.
3 499 0.986323180888 Henry Cohn, 2024.
3 500 0.986349227234 Henry Cohn, 2024.
3 501 0.986372404028 Henry Cohn, 2024.
3 502 0.986403542281 Henry Cohn, 2024.
3 503 0.986428428291 Henry Cohn, 2024.
3 504 0.986455469484 Henry Cohn, 2024.
3 505 0.986479196655 Henry Cohn, 2024.
3 506 0.986508558172 Henry Cohn, 2024.
3 507 0.986527855040 Henry Cohn, 2024.
3 508 0.986557386755 Henry Cohn, 2026.
3 510 0.986562950498 Henry Cohn, 2025.
3 511 0.986616701042 Henry Cohn, 2026.
3 512 0.986668364004 Henry Cohn, 2024.
3 513 0.986700077118 Henry Cohn, 2024.
3 514 0.986720532797 Henry Cohn, 2024.
3 515 0.986749064827 Henry Cohn, 2024.
3 516 0.986773903019 Henry Cohn, 2024.
3 517 0.986799492641 Henry Cohn, 2024.
3 518 0.986819754209 Henry Cohn, 2024.
3 519 0.986848175284 Henry Cohn, 2024.
3 520 0.986876145782 Henry Cohn, 2024.
3 521 0.986900278325 Henry Cohn, 2024.
3 522 0.986922575232 Henry Cohn, 2024.
3 523 0.986951778704 Henry Cohn, 2024.
3 524 0.986971561505 Henry Cohn, 2024.
3 525 0.986995199336 Henry Cohn, 2024.
3 526 0.987019236077 Henry Cohn, 2024.
3 527 0.987049033347 Henry Cohn, 2024.
3 528 0.987069504316 Henry Cohn, 2024.
3 529 0.987089590281 Henry Cohn, 2024.
3 530 0.987121524163 Henry Cohn, 2024.
3 531 0.987141738237 Henry Cohn, 2024.
3 532 0.987165596115 Henry Cohn, 2024.
3 533 0.987185368627 Henry Cohn, 2024.
3 534 0.987215557894 Henry Cohn, 2024.
3 535 0.987234674397 Henry Cohn, 2024.
3 536 0.987259191622 Henry Cohn, 2024.
3 537 0.987271183218 Henry Cohn, 2024.
3 538 0.987304975991 Henry Cohn, 2024.
3 539 0.987336486625 Henry Cohn, 2024.
3 540 0.987351430022 Henry Cohn, 2024.
3 541 0.987374329958 Henry Cohn, 2026.
3 542 0.987388996662 Henry Cohn, 2024.
3 543 0.987425682607 Henry Cohn, 2024.
3 544 0.987447704608 Henry Cohn, 2024.
3 545 0.987469058651 Henry Cohn, 2024.
3 546 0.987491594825 Henry Cohn, 2024.
3 547 0.987512470728 Henry Cohn, 2024.
3 548 0.987533400403 Henry Cohn, 2024.
3 549 0.987547178474 Henry Cohn, 2024.
3 550 0.987583836919 Henry Cohn, 2024.
3 551 0.987606449640 Henry Cohn, 2024.
3 552 0.987622742921 R. H. Hardin, N. J. A. Sloane, and W. D. Smith, Tables of spherical codes with icosahedral symmetry, 1994–2000.
3 553 0.987648249263 Henry Cohn, 2024.
3 554 0.987670281304 Henry Cohn, 2024.
3 555 0.987693259384 Henry Cohn, 2024.
3 556 0.987718378190 Henry Cohn, 2024.
3 557 0.987735307385 Henry Cohn, 2024.
3 558 0.987761309685 Henry Cohn, 2024.
3 559 0.987780703660 Henry Cohn, 2026.
3 560 0.987804065628 Henry Cohn, 2024.
3 561 0.987825037070 Henry Cohn, 2024.
3 562 0.987842915448 Henry Cohn, 2024.
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3 565 0.987910412219 Henry Cohn, 2024.
3 566 0.987930679295 Henry Cohn, 2024.
3 567 0.987952567335 Henry Cohn, 2024.
3 568 0.987974408939 Henry Cohn, 2024.
3 569 0.987994333054 Henry Cohn, 2024.
3 570 0.988010035988 Henry Cohn, 2024.
3 571 0.988036994032 Henry Cohn, 2024.
3 572 0.988045143812 Henry Cohn, 2025.
3 573 0.988071465154 Henry Cohn, 2024.
3 574 0.988099427052 Henry Cohn, 2024.
3 575 0.988116092887 Henry Cohn, 2024.
3 576 0.988134624929 Henry Cohn, 2024.
3 577 0.988155543378 Henry Cohn, 2024.
3 578 0.988175563350 Henry Cohn, 2024.
3 579 0.988199193100 Henry Cohn, 2024.
3 580 0.988214394071 Henry Cohn, 2024.
3 581 0.988236302808 Henry Cohn, 2024.
3 582 0.988258915209 Henry Cohn, 2024.
3 583 0.988278440743 Henry Cohn, 2024.
3 584 0.988296373611 Henry Cohn, 2024.
3 585 0.988316187693 Henry Cohn, 2024.
3 586 0.988336136398 Henry Cohn, 2024.
3 587 0.988354165587 Henry Cohn, 2024.
3 588 0.988371988004 Henry Cohn, 2024.
3 589 0.988390327285 Henry Cohn, 2024.
3 590 0.988413417033 Henry Cohn, 2024.
3 591 0.988431548471 Henry Cohn, 2024.
3 592 0.988452036069 Henry Cohn, 2024.
3 593 0.988468804433 Henry Cohn, 2024.
3 594 0.988492055682 Henry Cohn, 2024.
3 595 0.988509243514 Henry Cohn, 2024.
3 596 0.988527025270 Henry Cohn, 2024.
3 597 0.988546258113 Henry Cohn, 2024.
3 598 0.988563711650 Henry Cohn, 2024.
3 599 0.988581647683 Henry Cohn, 2024.
3 600 0.988601034993 Henry Cohn, 2024.
3 601 0.988621946438 Henry Cohn, 2024.
3 602 0.988641437112 Henry Cohn, 2024.
3 603 0.988656942485 Henry Cohn, 2024.
3 604 0.988675027867 Henry Cohn, 2024.
3 605 0.988700462515 Henry Cohn, 2024.
3 606 0.988712847782 Henry Cohn, 2024.
3 607 0.988727431487 Henry Cohn, 2024.
3 608 0.988753812095 Henry Cohn, 2026.
3 609 0.988760157529 Henry Cohn, 2024.
3 610 0.988787373704 Henry Cohn, 2026.
3 611 0.988803996797 Henry Cohn, 2024.
3 612 0.988822833992 Henry Cohn, 2024.
3 613 0.988842455232 Henry Cohn, 2024.
3 614 0.988857096430 Henry Cohn, 2024.
3 615 0.988875778474 Henry Cohn, 2024.
3 616 0.988892714835 Henry Cohn, 2024.
3 617 0.988912783824 Henry Cohn, 2024.
3 618 0.988927807992 Henry Cohn, 2024.
3 619 0.988948201134 Henry Cohn, 2025.
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 0.988984109802 Henry Cohn, 2024.
3 622 0.989000876941 Henry Cohn, 2024.
3 623 0.989012818314 Henry Cohn, 2024.
3 624 0.989034528790 Henry Cohn, 2024.
3 625 0.989054157149 Henry Cohn, 2024.
3 626 0.989070144515 Henry Cohn, 2024.
3 627 0.989088135354 Henry Cohn, 2024.
3 628 0.989105386471 Henry Cohn, 2024.
3 629 0.989121123248 Henry Cohn, 2024.
3 630 0.989134691942 Henry Cohn, 2024.
3 631 0.989155822068 Henry Cohn, 2024.
3 632 0.989172993109 Henry Cohn, 2024.
3 633 0.989188471837 Henry Cohn, 2024.
3 634 0.989202420209 Henry Cohn, 2024.
3 635 0.989219790718 Henry Cohn, 2024.
3 636 0.989242196163 Henry Cohn, 2024.
3 637 0.989258990501 Henry Cohn, 2024.
3 638 0.989267204518 Henry Cohn, 2024.
3 639 0.989290088613 Henry Cohn, 2024.
3 640 0.989301986015 Henry Cohn, 2024.
3 641 0.989321411266 Henry Cohn, 2024.
3 642 0.989332573182 Henry Cohn, 2024.
3 643 0.989352773976 Henry Cohn, 2024.
3 644 0.989371069478 Henry Cohn, 2024.
3 645 0.989382485431 Henry Cohn, 2024.
3 646 0.989398690989 Henry Cohn, 2024.
3 647 0.989413119239 Henry Cohn, 2024.
3 648 0.989433849301 Henry Cohn, 2024.
3 649 0.989453044562 Henry Cohn, 2024.
3 650 0.989463904615 Henry Cohn, 2024.
3 651 0.989485039605 Henry Cohn, 2024.
3 652 0.989500668198 Henry Cohn, 2024.
3 653 0.989517659733 Henry Cohn, 2024.
3 654 0.989528389272 Henry Cohn, 2024.
3 655 0.989547002612 Henry Cohn, 2024.
3 656 0.989563787961 Henry Cohn, 2024.
3 657 0.989576352164 Henry Cohn, 2024.
3 658 0.989590441670 Henry Cohn, 2024.
3 659 0.989608602208 Henry Cohn, 2024.
3 660 0.989626363395 Henry Cohn, 2024.
3 661 0.989640005006 Henry Cohn, 2024.
3 662 0.989658469367 Henry Cohn, 2024.
3 663 0.989668542979 Henry Cohn, 2024.
3 664 0.989681374062 Henry Cohn, 2024.
3 665 0.989693730339 Henry Cohn, 2026.
3 666 0.989717535361 Henry Cohn, 2024.
3 667 0.989731743795 Henry Cohn, 2024.
3 668 0.989745751462 Henry Cohn, 2024.
3 669 0.989761473114 Henry Cohn, 2024.
3 670 0.989765777159 Henry Cohn, 2024.
3 671 0.989792890413 Henry Cohn, 2024.
3 672 0.989799643833 Henry Cohn, 2024.
3 673 0.989818330488 Henry Cohn, 2024.
3 674 0.989833722485 Henry Cohn, 2024.
3 675 0.989852452169 Henry Cohn, 2024.
3 676 0.989861529212 Henry Cohn, 2024.
3 678 0.989879779829 Henry Cohn, 2024.
3 679 0.989905728538 Henry Cohn, 2024.
3 680 0.989921085378 Henry Cohn, 2024.
3 681 0.989936920244 Henry Cohn, 2024.
3 682 0.989955559541 Henry Cohn, 2024.
3 683 0.989969849803 Henry Cohn, 2026.
3 684 0.989976827933 Henry Cohn, 2024.
3 685 0.990001449211 Henry Cohn, 2024.
3 686 0.990006418271 Henry Cohn, 2024.
3 687 0.990025982355 Henry Cohn, 2024.
3 688 0.990037853003 Henry Cohn, 2024.
3 689 0.990051064090 Henry Cohn, 2024.
3 692 0.990060116362 R. H. Hardin, N. J. A. Sloane, and W. D. Smith, Tables of spherical codes with icosahedral symmetry, 1994–2000.
3 693 0.990079194397 Henry Cohn, 2026.
3 694 0.990105158152 Henry Cohn, 2026.
3 695 0.990114990349 Henry Cohn, 2026.
3 696 0.990139079126 Henry Cohn, 2026.
3 697 0.990164610569 Henry Cohn, 2024.
3 698 0.990178131415 Henry Cohn, 2024.
3 699 0.990196847589 Henry Cohn, 2024.
3 700 0.990204754056 Henry Cohn, 2024.
3 702 0.990207507930 Henry Cohn, 2025.
3 703 0.990226834172 Henry Cohn, 2026.
3 704 0.990247640312 Henry Cohn, 2026.
3 705 0.990264016667 Henry Cohn, 2026.
3 706 0.990280269273 Henry Cohn, 2026.
3 707 0.990307749113 Henry Cohn, 2024.
3 708 0.990313284691 Henry Cohn, 2024.
3 709 0.990331708341 Henry Cohn, 2024.
3 711 0.990345295659 Henry Cohn, 2024.
3 712 0.990368376224 Henry Cohn, 2024.
3 713 0.990383651488 Henry Cohn, 2024.
3 714 0.990391904853 Henry Cohn, 2024.
3 715 0.990399847262 Henry Cohn, 2026.
3 716 0.990424201178 Henry Cohn, 2024.
3 717 0.990437124471 Henry Cohn, 2024.
3 718 0.990448237688 Henry Cohn, 2024.
3 719 0.990461529899 Henry Cohn, 2024.
3 720 0.990474919274 Henry Cohn, 2024.
3 721 0.990485951013 Henry Cohn, 2026.
3 722 0.990499809958 Henry Cohn, 2024.
3 723 0.990511316356 Henry Cohn, 2026.
3 724 0.990532198847 Henry Cohn, 2024.
3 725 0.990534529638 Henry Cohn, 2024.
3 726 0.990553141663 Henry Cohn, 2024.
3 727 0.990566965324 Henry Cohn, 2024.
3 728 0.990571284239 Henry Cohn, 2024.
3 729 0.990587255137 Henry Cohn, 2024.
3 730 0.990603287439 Henry Cohn, 2024.
3 731 0.990612626443 Henry Cohn, 2024.
3 732 0.990621413211 Henry Cohn, 2025.
3 733 0.990638975129 Henry Cohn, 2026.
3 734 0.990653485474 Henry Cohn, 2026.
3 735 0.990668792728 Henry Cohn, 2024.
3 736 0.990681732803 Henry Cohn, 2024.
3 737 0.990695306177 Henry Cohn, 2024.
3 738 0.990704677084 Henry Cohn, 2024.
3 739 0.990713057195 Henry Cohn, 2024.
3 740 0.990728865941 Henry Cohn, 2024.
3 741 0.990742245221 Henry Cohn, 2024.
3 742 0.990755361153 Henry Cohn, 2024.
3 743 0.990770576230 Henry Cohn, 2024.
3 744 0.990780046428 Henry Cohn, 2024.
3 745 0.990791226838 Henry Cohn, 2024.
3 746 0.990801952935 Henry Cohn, 2026.
3 747 0.990816878553 Henry Cohn, 2024.
3 748 0.990830906878 Henry Cohn, 2024.
3 749 0.990838053202 Henry Cohn, 2024.
3 750 0.990847475915 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.
3 751 0.990857663690 Henry Cohn, 2024.
3 752 0.990872395915 Henry Cohn, 2024.
3 753 0.990883514545 Henry Cohn, 2024.
3 754 0.990901296816 Henry Cohn, 2024.
3 755 0.990905033119 Henry Cohn, 2024.
3 756 0.990922227516 Henry Cohn, 2024.
3 757 0.990937812953 Henry Cohn, 2024.
3 758 0.990946005792 Henry Cohn, 2024.
3 759 0.990954743746 Henry Cohn, 2024.
3 760 0.990970877087 Henry Cohn, 2024.
3 761 0.990976123095 Henry Cohn, 2024.
3 762 0.990993252010 Henry Cohn, 2024.
3 763 0.991002546962 Henry Cohn, 2024.
3 764 0.991020776255 Henry Cohn, 2024.
3 765 0.991029933301 Henry Cohn, 2024.
3 766 0.991038039796 Henry Cohn, 2024.
3 767 0.991054850991 Henry Cohn, 2024.
3 768 0.991063858891 Henry Cohn, 2024.
3 769 0.991073054499 Henry Cohn, 2024.
3 770 0.991085755280 Henry Cohn, 2024.
3 771 0.991097098258 Henry Cohn, 2024.
3 772 0.991107834438 Henry Cohn, 2024.
3 773 0.991120324668 Henry Cohn, 2024.
3 774 0.991132071939 Henry Cohn, 2024.
3 775 0.991145898664 Henry Cohn, 2024.
3 776 0.991156697126 Henry Cohn, 2024.
3 777 0.991161697853 Henry Cohn, 2024.
3 778 0.991178514334 Henry Cohn, 2024.
3 779 0.991188403576 Henry Cohn, 2024.
3 780 0.991195467101 Henry Cohn, 2024.
3 781 0.991212495316 Henry Cohn, 2024.
3 782 0.991221877841 Henry Cohn, 2024.
3 783 0.991227432227 Henry Cohn, 2024.
3 784 0.991237581418 Henry Cohn, 2024.
3 785 0.991247586150 Henry Cohn, 2026.
3 786 0.991265609504 Henry Cohn, 2024.
3 787 0.991279737346 Henry Cohn, 2024.
3 788 0.991287959034 Henry Cohn, 2024.
3 789 0.991298474057 Henry Cohn, 2024.
3 790 0.991311108786 Henry Cohn, 2024.
3 791 0.991319397658 Henry Cohn, 2024.
3 792 0.991327970122 Henry Cohn, 2024.
3 793 0.991338848666 Henry Cohn, 2026.
3 794 0.991355598368 Henry Cohn, 2024.
3 795 0.991362648296 Henry Cohn, 2024.
3 796 0.991373620973 Henry Cohn, 2024.
3 797 0.991382382844 Henry Cohn, 2024.
3 798 0.991394391213 Henry Cohn, 2024.
3 799 0.991408093880 Henry Cohn, 2024.
3 800 0.991414851715 Henry Cohn, 2024.
3 801 0.991425603623 Henry Cohn, 2024.
3 802 0.991437819695 Henry Cohn, 2024.
3 803 0.991450003639 Henry Cohn, 2024.
3 804 0.991459924550 Henry Cohn, 2024.
3 805 0.991468080347 Henry Cohn, 2024.
3 806 0.991480017656 Henry Cohn, 2024.
3 807 0.991488929993 Henry Cohn, 2024.
3 808 0.991499472524 Henry Cohn, 2024.
3 809 0.991513039166 Henry Cohn, 2024.
3 810 0.991520665687 Henry Cohn, 2024.
3 811 0.991531900704 Henry Cohn, 2026.
3 812 0.991541771500 Henry Cohn, 2024.
3 813 0.991547822510 Henry Cohn, 2024.
3 814 0.991561861128 Henry Cohn, 2024.
3 815 0.991569264349 Henry Cohn, 2024.
3 816 0.991580342934 Henry Cohn, 2024.
3 817 0.991591011326 Henry Cohn, 2024.
3 818 0.991606217466 Henry Cohn, 2024.
3 819 0.991611831024 Henry Cohn, 2024.
3 820 0.991624044122 Henry Cohn, 2024.
3 821 0.991631483847 Henry Cohn, 2024.
3 822 0.991640340040 Henry Cohn, 2024.
3 823 0.991650165081 Henry Cohn, 2024.
3 824 0.991660076581 Henry Cohn, 2024.
3 825 0.991671265549 Henry Cohn, 2024.
3 826 0.991681742391 Henry Cohn, 2024.
3 827 0.991689512983 Henry Cohn, 2026.
3 828 0.991700756929 Henry Cohn, 2024.
3 829 0.991713398461 Henry Cohn, 2024.
3 830 0.991721621394 Henry Cohn, 2024.
3 831 0.991727218135 Henry Cohn, 2024.
3 832 0.991735674478 Henry Cohn, 2024.
3 833 0.991752715892 Henry Cohn, 2026.
3 834 0.991760206283 Henry Cohn, 2026.
3 835 0.991774281058 Henry Cohn, 2026.
3 836 0.991777728475 Henry Cohn, 2026.
3 837 0.991787914621 Henry Cohn, 2026.
3 838 0.991801752919 Henry Cohn, 2026.
3 840 0.991804906440 Henry Cohn, 2026.
3 841 0.991814485211 Henry Cohn, 2026.
3 842 0.991823503475 Henry Cohn, 2026.
3 843 0.991831936552 Henry Cohn, 2026.
3 844 0.991855906888 Henry Cohn, 2026.
3 845 0.991858365803 Henry Cohn, 2026.
3 846 0.991862416879 Henry Cohn, 2026.
3 847 0.991870062534 Henry Cohn, 2026.
3 848 0.991877607735 Henry Cohn, 2026.
3 849 0.991885383843 Henry Cohn, 2026.
3 850 0.991891394850 Henry Cohn, 2026.
3 851 0.991898234566 Henry Cohn, 2026.
3 852 0.991904249523 R. H. Hardin, N. J. A. Sloane, and W. D. Smith, Tables of spherical codes with icosahedral symmetry, 1994–2000.
3 853 0.991918219703 Henry Cohn, 2026.
3 854 0.991935712885 Henry Cohn, 2026.
3 855 0.991949565795 Henry Cohn, 2026.
3 856 0.991960761074 Henry Cohn, 2026.
3 857 0.991979003112 Henry Cohn, 2025.
3 858 0.991987713948 Henry Cohn, 2025.
3 859 0.992000217458 Henry Cohn, 2026.
3 860 0.992000221128 Henry Cohn, 2026.
3 861 0.992009765999 Henry Cohn, 2026.
3 862 0.992022903669 Henry Cohn, 2025.
3 863 0.992032218855 Henry Cohn, 2026.
3 864 0.992045910827 Henry Cohn, 2025.
3 865 0.992052833787 Henry Cohn, 2025.
3 866 0.992060313000 Henry Cohn, 2026.
3 867 0.992072381754 Henry Cohn, 2025.
3 868 0.992080033785 Henry Cohn, 2025.
3 869 0.992091623959 Henry Cohn, 2025.
3 871 0.992098345457 Henry Cohn, 2026.
3 872 0.992098850920 R. H. Hardin, N. J. A. Sloane, and W. D. Smith, Tables of spherical codes with icosahedral symmetry, 1994–2000.
3 873 0.992112147694 Henry Cohn, 2026.
3 874 0.992126269267 Henry Cohn, 2026.
3 875 0.992138836628 Henry Cohn, 2026.
3 876 0.992145742865 Henry Cohn, 2026.
3 877 0.992154329715 Henry Cohn, 2025.
3 878 0.992165376585 Henry Cohn, 2026.
3 879 0.992171243331 Henry Cohn, 2025.
3 880 0.992185909971 Henry Cohn, 2025.
3 881 0.992192486886 Henry Cohn, 2025.
3 882 0.992198371680 Henry Cohn, 2025.
3 883 0.992206322361 Henry Cohn, 2026.
3 884 0.992214559881 Henry Cohn, 2026.
3 885 0.992224887879 Henry Cohn, 2026.
3 886 0.992238913096 Henry Cohn, 2026.
3 887 0.992242382220 Henry Cohn, 2025.
3 888 0.992258876226 Henry Cohn, 2025.
3 889 0.992266590339 Henry Cohn, 2026.
3 890 0.992270692003 Henry Cohn, 2025.
3 891 0.992282908648 Henry Cohn, 2025.
3 892 0.992289973548 Henry Cohn, 2025.
3 893 0.992296614396 Henry Cohn, 2026.
3 894 0.992309459744 Henry Cohn, 2025.
3 895 0.992316358484 Henry Cohn, 2025.
3 896 0.992319789432 Henry Cohn, 2025.
3 897 0.992332110080 Henry Cohn, 2025.
3 898 0.992338696092 Henry Cohn, 2025.
3 899 0.992347170198 Henry Cohn, 2026.
3 900 0.992357664582 Henry Cohn, 2026.
3 901 0.992361149573 Henry Cohn, 2026.
3 902 0.992374954177 Henry Cohn, 2026.
3 903 0.992382061576 Henry Cohn, 2025.
3 904 0.992391535358 Henry Cohn, 2026.
3 905 0.992400631964 Henry Cohn, 2025.
3 906 0.992409191703 Henry Cohn, 2025.
3 907 0.992416883647 Henry Cohn, 2025.
3 908 0.992422545672 Henry Cohn, 2025.
3 909 0.992432062810 Henry Cohn, 2025.
3 910 0.992437123795 Henry Cohn, 2025.
3 911 0.992443166019 Henry Cohn, 2025.
3 912 0.992454600852 Henry Cohn, 2025.
3 913 0.992469933271 Henry Cohn, 2025.
3 914 0.992471207708 Henry Cohn, 2025.
3 915 0.992482565852 Henry Cohn, 2025.
3 916 0.992490047639 Henry Cohn, 2026.
3 917 0.992499945291 Henry Cohn, 2026.
3 918 0.992507205651 Henry Cohn, 2025.
3 919 0.992516908676 Henry Cohn, 2025.
3 920 0.992518345854 Henry Cohn, 2025.
3 921 0.992532122129 Henry Cohn, 2025.
3 922 0.992536144114 Henry Cohn, 2026.
3 923 0.992547647599 Henry Cohn, 2025.
3 924 0.992553990146 Henry Cohn, 2025.
3 925 0.992565731685 Henry Cohn, 2025.
3 926 0.992569938693 Henry Cohn, 2025.
3 927 0.992577590745 Henry Cohn, 2026.
3 928 0.992583930232 Henry Cohn, 2025.
3 929 0.992590355210 Henry Cohn, 2025.
3 930 0.992598510471 Henry Cohn, 2026.
3 931 0.992609528471 Henry Cohn, 2026.
3 932 0.992614241079 Henry Cohn, 2026.
3 933 0.992624602034 Henry Cohn, 2025.
3 934 0.992631107765 Henry Cohn, 2025.
3 935 0.992638889247 Henry Cohn, 2026.
3 936 0.992646759914 Henry Cohn, 2026.
3 937 0.992652545876 Henry Cohn, 2026.
3 938 0.992665682904 Henry Cohn, 2025.
3 939 0.992672947443 Henry Cohn, 2025.
3 940 0.992677739706 Henry Cohn, 2025.
3 941 0.992688089317 Henry Cohn, 2025.
3 942 0.992696579115 Henry Cohn, 2025.
3 943 0.992702546437 Henry Cohn, 2025.
3 944 0.992712884583 Henry Cohn, 2026.
3 945 0.992717631580 Henry Cohn, 2025.
3 946 0.992723034803 Henry Cohn, 2025.
3 947 0.992729250719 Henry Cohn, 2025.
3 948 0.992739976828 Henry Cohn, 2026.
3 950 0.992751947060 Henry Cohn, 2025.
3 951 0.992762286897 Henry Cohn, 2026.
3 952 0.992771438024 Henry Cohn, 2025.
3 953 0.992778114759 Henry Cohn, 2026.
3 954 0.992783154812 Henry Cohn, 2026.
3 955 0.992791162783 Henry Cohn, 2026.
3 956 0.992801093482 Henry Cohn, 2025.
3 957 0.992810004476 Henry Cohn, 2025.
3 958 0.992817667647 Henry Cohn, 2025.
3 959 0.992826125413 Henry Cohn, 2025.
3 960 0.992830967656 Henry Cohn, 2024.
3 961 0.992838773549 Henry Cohn, 2025.
3 962 0.992843794794 Henry Cohn, 2025.
3 963 0.992852425763 Henry Cohn, 2025.
3 964 0.992860398135 Henry Cohn, 2025.
3 965 0.992869292415 Henry Cohn, 2026.
3 966 0.992875386015 Henry Cohn, 2025.
3 967 0.992882714198 Henry Cohn, 2025.
3 968 0.992886923604 Henry Cohn, 2025.
3 969 0.992896341783 Henry Cohn, 2025.
3 970 0.992903243757 Henry Cohn, 2025.
3 971 0.992910234827 Henry Cohn, 2025.
3 972 0.992915598654 Henry Cohn, 2025.
3 974 0.992925603203 Henry Cohn, 2025.
3 975 0.992935839740 Henry Cohn, 2025.
3 976 0.992940838714 Henry Cohn, 2026.
3 977 0.992953433939 Henry Cohn, 2025.
3 978 0.992962810288 Henry Cohn, 2025.
3 979 0.992966796812 Henry Cohn, 2026.
3 980 0.992974636259 Henry Cohn, 2024.
3 981 0.992982747599 Henry Cohn, 2025.
3 982 0.992988090846 Henry Cohn, 2025.
3 983 0.992998353831 Henry Cohn, 2025.
3 984 0.993003417762 Henry Cohn, 2025.
3 985 0.993011691492 Henry Cohn, 2025.
3 986 0.993015554264 Henry Cohn, 2025.
3 988 0.993023719135 Henry Cohn, 2025.
3 989 0.993037184620 Henry Cohn, 2025.
3 990 0.993045751650 Henry Cohn, 2025.
3 991 0.993050187813 Henry Cohn, 2025.
3 992 0.993060823312 Henry Cohn, 2026.
3 993 0.993062803097 Henry Cohn, 2025.
3 994 0.993068407685 Henry Cohn, 2026.
3 995 0.993078560947 Henry Cohn, 2025.
3 996 0.993085360495 Henry Cohn, 2026.
3 997 0.993095368942 Henry Cohn, 2025.
3 998 0.993098230447 Henry Cohn, 2025.
3 999 0.993105196296 Henry Cohn, 2026.
3 1000 0.993108149885 Henry Cohn, 2026.
3 1001 0.993116770895 Henry Cohn, 2026.
3 1002 0.993125357902 Henry Cohn, 2026.
3 1003 0.993132170420 Henry Cohn, 2025.
3 1004 0.993135753614 Henry Cohn, 2026.
3 1005 0.993147564194 Henry Cohn, 2026.
3 1006 0.993151569103 Henry Cohn, 2026.
3 1007 0.993154938707 Henry Cohn, 2026, needs more optimization.
3 1008 0.993159005478 Henry Cohn, 2025.
3 1009 0.993168721248 Henry Cohn, 2026.
3 1010 0.993175475040 Henry Cohn, 2026.
3 1011 0.993184403638 Henry Cohn, 2026.
3 1012 0.993192195261 Henry Cohn, 2026.
3 1013 0.993196528382 Henry Cohn, 2026.
3 1014 0.993203054681 Henry Cohn, 2026.
3 1015 0.993209201979 Henry Cohn, 2026.
3 1016 0.993215431797 Henry Cohn, 2026.
3 1017 0.993222604878 Henry Cohn, 2026.
3 1018 0.993230067485 Henry Cohn, 2026.
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 0.993243150191 Henry Cohn, 2026.
3 1022 0.993250071049 Henry Cohn, 2026.
3 1023 0.993256367188 Henry Cohn, 2026.
3 1024 0.993263382473 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.
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 0.765202546890 Henry Cohn, 2025.
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 0.784899018852 Henry Cohn, 2025.
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 0.800765983579 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
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 0.807104890332 Henry Cohn, 2025.
4 106 0.807600771583 Henry Cohn, 2025.
4 107 0.808031793624 Henry Cohn, 2025.
4 108 0.808488610194 Henry Cohn, 2025.
4 109 0.808687291189 Henry Cohn, 2025.
4 110 0.808927278480 Henry Cohn, 2025.
4 111 0.808991157916 Henry Cohn, 2025.
4 112 0.809016055614 Henry Cohn, 2025.
4 113 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
4 114 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 0.824638011670 Henry Cohn, 2025.
4 122 0.826371365501 Henry Cohn, 2025.
4 123 0.827331732524 Henry Cohn, 2025.
4 124 0.829076814196 Henry Cohn, 2025.
4 125 0.830275122838 Henry Cohn, 2025.
4 126 0.831265978577 Henry Cohn, 2025.
4 127 0.832258295757 Henry Cohn, 2025.
4 128 0.833179391366 Henry Cohn, 2025.
4 129 0.833853106202 Henry Cohn, 2025.
4 130 0.834729130389 Henry Cohn, 2025.
4 131 0.835454616797 Henry Cohn, 2025.
4 132 0.835826242592 Henry Cohn, 2025.
4 133 0.836970287069 Henry Cohn, 2025.
4 134 0.837549857120 Henry Cohn, 2025.
4 135 0.838174290974 Henry Cohn, 2025.
4 136 0.838408035762 Henry Cohn, 2025.
4 137 0.838792717376 Henry Cohn, 2025.
4 138 0.839094608099 Henry Cohn, 2025.
4 139 0.839507413737 Henry Cohn, 2024.
4 140 0.839796230234 Henry Cohn, 2025.
4 141 0.840152855333 Henry Cohn, 2024.
4 142 0.840928789319 Henry Cohn, 2025.
4 143 0.842625863066 Henry Cohn, 2025.
4 144 0.843226230314 Henry Cohn, 2026.
4 145 0.845004703395 Henry Cohn, 2025.
4 146 0.846045189902 Henry Cohn, 2024.
4 147 0.846906008500 Henry Cohn, 2025.
4 148 0.847320837337 Henry Cohn, 2025.
4 149 0.847701351395 Henry Cohn, 2025.
4 150 0.848008139501 Henry Cohn, 2025.
4 151 0.848395999617 Henry Cohn, 2025.
4 152 0.848746833410 Henry Cohn, 2024.
4 153 0.849106783811 Henry Cohn, 2025.
4 154 0.849448181031 Henry Cohn, 2024.
4 155 0.850528693851 Henry Cohn, 2025.
4 156 0.852364181174 Henry Cohn, 2025.
4 157 0.853098036527 Henry Cohn, 2025.
4 158 0.853541001367 Henry Cohn, 2025.
4 159 0.853851387665 Henry Cohn, 2025.
4 160 0.854015402705 Henry Cohn, 2025.
4 161 0.855036011488 Henry Cohn, 2025.
4 162 0.856011990176 Henry Cohn, 2025.
4 163 0.856498246684 Henry Cohn, 2025.
4 164 0.856668082967 Henry Cohn, 2025.
4 165 0.856908324217 Henry Cohn, 2024.
4 166 0.857225219240 Henry Cohn, 2025.
4 167 0.857623781724 Henry Cohn, 2025.
4 168 0.859313343133 Henry Cohn, 2025.
4 169 0.860417510162 Henry Cohn, 2025.
4 170 0.861320274459 Henry Cohn, 2026.
4 171 0.861877205800 Henry Cohn, 2025.
4 172 0.862348518710 Henry Cohn, 2026.
4 173 0.862725307388 Henry Cohn, 2025.
4 174 0.863170417348 Henry Cohn, 2026.
4 175 0.863367463185 Henry Cohn, 2025.
4 176 0.863624102971 Henry Cohn, 2025.
4 177 0.863764381494 Henry Cohn, 2025.
4 178 0.863928834672 Henry Cohn, 2025.
4 179 0.864723195011 Henry Cohn, 2025.
4 180 0.865782670861 Henry Cohn, 2025.
4 181 0.866598382577 Henry Cohn, 2025.
4 182 0.867174335033 Henry Cohn, 2025.
4 183 0.867335807322 Henry Cohn, 2025.
4 184 0.867763055785 Henry Cohn, 2025.
4 185 0.868215850425 Henry Cohn, 2026.
4 186 0.868518800651 Henry Cohn, 2025.
4 187 0.868813031570 Henry Cohn, 2026, needs more optimization.
4 188 0.869207825431 Henry Cohn, 2025.
4 189 0.869491543071 Henry Cohn, 2025.
4 190 0.870050972636 Henry Cohn, 2025.
4 191 0.870814241870 Henry Cohn, 2025.
4 192 0.871341712847 Henry Cohn, 2025.
4 193 0.871545546243 Henry Cohn, 2025.
4 194 0.871792013221 Henry Cohn, 2025.
4 195 0.872105415403 Henry Cohn, 2026, needs more optimization.
4 196 0.872623379660 Henry Cohn, 2026.
4 197 0.873487426793 Henry Cohn, 2025.
4 198 0.874156501901 Henry Cohn, 2025.
4 199 0.875066499628 Henry Cohn, 2026.
4 200 0.875686480655 Henry Cohn, 2025.
4 201 0.876289870766 Henry Cohn, 2026.
4 202 0.876662092953 Henry Cohn, 2025.
4 203 0.876807613055 Henry Cohn, 2026.
4 204 0.877193219688 Henry Cohn, 2026.
4 205 0.877534211883 Henry Cohn, 2025.
4 206 0.877831247728 Henry Cohn, 2025.
4 207 0.877983074153 Henry Cohn, 2026.
4 208 0.878215104089 Henry Cohn, 2025.
4 209 0.878614728692 Henry Cohn, 2026.
4 210 0.879213799752 Henry Cohn, 2025.
4 211 0.879586628106 Henry Cohn, 2025.
4 212 0.879653371881 Henry Cohn, 2026.
4 213 0.879817587919 Henry Cohn, 2026.
4 214 0.879945724274 Henry Cohn, 2025.
4 215 0.880272662054 Henry Cohn, 2025.
4 216 0.880902709084 Henry Cohn, 2026.
4 217 0.881535768813 Henry Cohn, 2025.
4 218 0.881821797282 Henry Cohn, 2026, needs more optimization.
4 219 0.881957670465 Henry Cohn, 2025.
4 220 0.882547029792 Henry Cohn, 2025.
4 221 0.883034324004 Henry Cohn, 2026.
4 222 0.883456069925 Henry Cohn, 2025.
4 223 0.884138189446 Henry Cohn, 2025.
4 224 0.884684734191 Henry Cohn, 2025.
4 225 0.885119168015 Henry Cohn, 2026.
4 226 0.885323871301 Henry Cohn, 2026, needs more optimization.
4 227 0.885541386047 Henry Cohn, 2025.
4 228 0.885824040293 Henry Cohn, 2025.
4 229 0.886055273846 Henry Cohn, 2026.
4 230 0.886372063295 Henry Cohn, 2025.
4 231 0.886824013459 Henry Cohn, 2026, needs more optimization.
4 232 0.887100396043 Henry Cohn, 2026.
4 233 0.887339463629 Henry Cohn, 2025.
4 234 0.887586535331 Henry Cohn, 2025.
4 235 0.887931434008 Henry Cohn, 2025.
4 236 0.888076450831 Henry Cohn, 2025.
4 237 0.888444553045 Henry Cohn, 2025.
4 238 0.888895172867 Henry Cohn, 2025.
4 239 0.889105362853 Henry Cohn, 2026.
4 240 0.889490925303 Henry Cohn, 2026, needs more optimization.
4 241 0.889886657931 Henry Cohn, 2025.
4 242 0.890234249504 Henry Cohn, 2025.
4 243 0.890327494714 Henry Cohn, 2025.
4 244 0.890724603786 Henry Cohn, 2026.
4 245 0.890944532473 Henry Cohn, 2026, needs more optimization.
4 246 0.891230987587 Henry Cohn, 2025.
4 247 0.891664123274 Henry Cohn, 2026.
4 248 0.891998853557 Henry Cohn, 2026, needs more optimization.
4 249 0.892287393255 Henry Cohn, 2026, needs more optimization.
4 250 0.892630822839 Henry Cohn, 2026, needs more optimization.
4 251 0.893056842714 Henry Cohn, 2026, needs more optimization.
4 252 0.893324841746 Henry Cohn, 2026.
4 253 0.893448719605 Henry Cohn, 2026, needs more optimization.
4 254 0.893921415901 Henry Cohn, 2026.
4 255 0.893997549375 Henry Cohn, 2026.
4 256 0.894519020596 Henry Cohn, 2026, needs more optimization.
4 257 0.894704108549 Henry Cohn, 2026.
4 258 0.894983150258 Henry Cohn, 2026, needs more optimization.
4 259 0.895409599696 Henry Cohn, 2026, needs more optimization.
4 260 0.895633158406 Henry Cohn, 2026.
4 261 0.895905020872 Henry Cohn, 2026, needs more optimization.
4 262 0.896205734599 Henry Cohn, 2026.
4 263 0.896400616194 Henry Cohn, 2026, needs more optimization.
4 264 0.896671845836 Henry Cohn, 2026.
4 265 0.896833096504 Henry Cohn, 2026, needs more optimization.
4 266 0.897010030544 Henry Cohn, 2026, needs more optimization.
4 267 0.897223837671 Henry Cohn, 2026, needs more optimization.
4 268 0.897342493936 Henry Cohn, 2026, needs more optimization.
4 269 0.897620604186 Henry Cohn, 2026, needs more optimization.
4 270 0.897835789074 Henry Cohn, 2026, needs more optimization.
4 271 0.898148029343 Henry Cohn, 2026, needs more optimization.
4 272 0.898261475337 Henry Cohn, 2026, needs more optimization.
4 273 0.898339199868 Henry Cohn, 2026, needs more optimization.
4 274 0.898509552581 Henry Cohn, 2026, needs more optimization.
4 275 0.898703288723 Henry Cohn, 2026, needs more optimization.
4 276 0.898990527938 Henry Cohn, 2026, needs more optimization.
4 277 0.899342849411 Henry Cohn, 2026, needs more optimization.
4 278 0.899463144791 Henry Cohn, 2026, needs more optimization.
4 279 0.899596691861 Henry Cohn, 2026, needs more optimization.
4 280 0.899641044818 Henry Cohn, 2026, needs more optimization.
4 281 0.900127314981 Henry Cohn, 2026.
4 282 0.900628397128 Henry Cohn, 2026, needs more optimization.
4 283 0.900999811191 Henry Cohn, 2026, needs more optimization.
4 284 0.901370282618 Henry Cohn, 2026, needs more optimization.
4 285 0.901658073834 Henry Cohn, 2026, needs more optimization.
4 286 0.901879499070 Henry Cohn, 2026.
4 287 0.902030253803 Henry Cohn, 2026, needs more optimization.
4 288 0.902074033084 Henry Cohn, 2026, needs more optimization.
4 289 0.902147462122 Henry Cohn, 2026, needs more optimization.
4 290 0.902706635097 Henry Cohn, 2026, needs more optimization.
4 291 0.903108221029 Henry Cohn, 2026, needs more optimization.
4 292 0.903480513866 Henry Cohn, 2026, needs more optimization.
4 293 0.903823769043 Henry Cohn, 2026, needs more optimization.
4 294 0.904139899260 Henry Cohn, 2026, needs more optimization.
4 295 0.904227980830 Henry Cohn, 2026, needs more optimization.
4 296 0.904772951026 Henry Cohn, 2026, needs more optimization.
4 297 0.904779360751 Henry Cohn, 2026, needs more optimization.
4 298 0.904877736462 Henry Cohn, 2026, needs more optimization.
4 299 0.905146611996 Henry Cohn, 2026, needs more optimization.
4 300 0.905371027335 Henry Cohn, 2026, needs more optimization.
4 301 0.905597822932 Henry Cohn, 2026, needs more optimization.
4 302 0.905816057215 Henry Cohn, 2026, needs more optimization.
4 303 0.906091396860 Henry Cohn, 2026, needs more optimization.
4 304 0.906254637567 Henry Cohn, 2026, needs more optimization.
4 305 0.906321607384 Henry Cohn, 2026, needs more optimization.
4 306 0.906511545191 Henry Cohn, 2026, needs more optimization.
4 307 0.906769620103 Henry Cohn, 2026, needs more optimization.
4 308 0.906981491646 Henry Cohn, 2026, needs more optimization.
4 309 0.907307897959 Henry Cohn, 2026, needs more optimization.
4 310 0.907345643188 Henry Cohn, 2026, needs more optimization.
4 311 0.907522576584 Henry Cohn, 2026, needs more optimization.
4 312 0.907798796038 Henry Cohn, 2026, needs more optimization.
4 313 0.907999397383 Henry Cohn, 2026, needs more optimization.
4 314 0.908175258934 Henry Cohn, 2026, needs more optimization.
4 315 0.908334906108 Henry Cohn, 2026, needs more optimization.
4 316 0.908439744254 Henry Cohn, 2026, needs more optimization.
4 317 0.908714067133 Henry Cohn, 2026, needs more optimization.
4 318 0.908941299492 Henry Cohn, 2026, needs more optimization.
4 319 0.909145856419 Henry Cohn, 2026, needs more optimization.
4 320 0.909320854901 Henry Cohn, 2026, needs more optimization.
4 321 0.909519321009 Henry Cohn, 2026, needs more optimization.
4 322 0.909573264325 Henry Cohn, 2026, needs more optimization.
4 323 0.909664277020 Henry Cohn, 2026, needs more optimization.
4 324 0.909833171539 Henry Cohn, 2026, needs more optimization.
4 325 0.910040662612 Henry Cohn, 2026, needs more optimization.
4 326 0.910202190190 Henry Cohn, 2026, needs more optimization.
4 327 0.910288142665 Henry Cohn, 2026, needs more optimization.
4 328 0.910395023215 Henry Cohn, 2026, needs more optimization.
4 329 0.910667415414 Henry Cohn, 2026, needs more optimization.
4 330 0.910912228448 Henry Cohn, 2026, needs more optimization.
4 331 0.911137085730 Henry Cohn, 2026, needs more optimization.
4 332 0.911289395933 Henry Cohn, 2026, needs more optimization.
4 333 0.911521015883 Henry Cohn, 2026, needs more optimization.
4 334 0.911635352506 Henry Cohn, 2026, needs more optimization.
4 335 0.911928515104 Henry Cohn, 2026, needs more optimization.
4 336 0.912143802503 Henry Cohn, 2026, needs more optimization.
4 337 0.912392286265 Henry Cohn, 2026, needs more optimization.
4 338 0.912622753554 Henry Cohn, 2026, needs more optimization.
4 339 0.912849496476 Henry Cohn, 2026, needs more optimization.
4 340 0.913082210088 Henry Cohn, 2026, needs more optimization.
4 341 0.913350540946 Henry Cohn, 2026, needs more optimization.
4 342 0.913450729071 Henry Cohn, 2026, needs more optimization.
4 343 0.913635300906 Henry Cohn, 2026, needs more optimization.
4 344 0.913824325681 Henry Cohn, 2026, needs more optimization.
4 345 0.914105729923 Henry Cohn, 2026, needs more optimization.
4 346 0.914199615014 Henry Cohn, 2026, needs more optimization.
4 347 0.914370856601 Henry Cohn, 2026, needs more optimization.
4 348 0.914597659316 Henry Cohn, 2026, needs more optimization.
4 349 0.914787148082 Henry Cohn, 2026, needs more optimization.
4 350 0.914827326784 Henry Cohn, 2026, needs more optimization.
4 351 0.915003300656 Henry Cohn, 2026, needs more optimization.
4 352 0.915195890205 Henry Cohn, 2026, needs more optimization.
4 353 0.915241483582 Henry Cohn, 2026, needs more optimization.
4 354 0.915422024189 Henry Cohn, 2026, needs more optimization.
4 355 0.915510366102 Henry Cohn, 2026, needs more optimization.
4 356 0.915645215411 Henry Cohn, 2026, needs more optimization.
4 357 0.915776007982 Henry Cohn, 2026, needs more optimization.
4 358 0.915936268027 Henry Cohn, 2026, needs more optimization.
4 359 0.916064146263 Henry Cohn, 2026, needs more optimization.
4 360 0.916227023333 Henry Cohn, 2026, needs more optimization.
4 361 0.916285573073 Henry Cohn, 2026, needs more optimization.
4 362 0.916289060942 Henry Cohn, 2026, needs more optimization.
4 363 0.916450950787 Henry Cohn, 2026, needs more optimization.
4 364 0.916567404944 Henry Cohn, 2026, needs more optimization.
4 365 0.916741006008 Henry Cohn, 2026, needs more optimization.
4 366 0.916830806281 Henry Cohn, 2026, needs more optimization.
4 367 0.917145880562 Henry Cohn, 2026, needs more optimization.
4 368 0.917195534220 Henry Cohn, 2026, needs more optimization.
4 369 0.917257897759 Henry Cohn, 2026, needs more optimization.
4 370 0.917317440092 Henry Cohn, 2026, needs more optimization.
4 371 0.917452426054 Henry Cohn, 2026, needs more optimization.
4 372 0.917608923111 Henry Cohn, 2026, needs more optimization.
4 373 0.917878126523 Henry Cohn, 2026, needs more optimization.
4 374 0.918150378399 Henry Cohn, 2026, needs more optimization.
4 375 0.918343271218 Henry Cohn, 2026, needs more optimization.
4 376 0.918497281596 Henry Cohn, 2026, needs more optimization.
4 377 0.918632884608 Henry Cohn, 2026, needs more optimization.
4 378 0.918656220975 Henry Cohn, 2026, needs more optimization.
4 379 0.918871189135 Henry Cohn, 2026, needs more optimization.
4 380 0.918969344652 Henry Cohn, 2026, needs more optimization.
4 381 0.919142528588 Henry Cohn, 2026, needs more optimization.
4 382 0.919183997094 Henry Cohn, 2026, needs more optimization.
4 383 0.919277712666 Henry Cohn, 2026, needs more optimization.
4 384 0.919339197788 Henry Cohn, 2026, needs more optimization.
4 385 0.919375726817 Henry Cohn, 2026, needs more optimization.
4 386 0.919478339407 Henry Cohn, 2026, needs more optimization.
4 387 0.919486042639 Henry Cohn, 2026, needs more optimization.
4 388 0.919688442091 Henry Cohn, 2026, needs more optimization.
4 389 0.919730773910 Henry Cohn, 2026, needs more optimization.
4 390 0.919937139605 Henry Cohn, 2026, needs more optimization.
4 391 0.920140864175 Henry Cohn, 2026, needs more optimization.
4 392 0.920321147761 Henry Cohn, 2026, needs more optimization.
4 393 0.920440792598 Henry Cohn, 2026, needs more optimization.
4 394 0.920471923135 Henry Cohn, 2026, needs more optimization.
4 395 0.920571683623 Henry Cohn, 2026, needs more optimization.
4 396 0.920858986179 Henry Cohn, 2026, needs more optimization.
4 397 0.921004869485 Henry Cohn, 2026, needs more optimization.
4 398 0.921114403408 Henry Cohn, 2026, needs more optimization.
4 399 0.921190080948 Henry Cohn, 2026, needs more optimization.
4 400 0.921369315552 Henry Cohn, 2026, needs more optimization.
4 401 0.921449927095 Henry Cohn, 2026, needs more optimization.
4 402 0.921725961715 Henry Cohn, 2026, needs more optimization.
4 403 0.921792922636 Henry Cohn, 2026, needs more optimization.
4 404 0.921826975635 Henry Cohn, 2026, needs more optimization.
4 405 0.921862744898 Henry Cohn, 2026, needs more optimization.
4 406 0.921912110559 Henry Cohn, 2026, needs more optimization.
4 407 0.921973098840 Henry Cohn, 2026, needs more optimization.
4 408 0.921998117729 Henry Cohn, 2026, needs more optimization.
4 409 0.922339585484 Henry Cohn, 2026, needs more optimization.
4 410 0.922649893563 Henry Cohn, 2026, needs more optimization.
4 411 0.922708352991 Henry Cohn, 2026, needs more optimization.
4 412 0.922994664265 Henry Cohn, 2026, needs more optimization.
4 413 0.923215696855 Henry Cohn, 2026, needs more optimization.
4 414 0.923244657717 Henry Cohn, 2026, needs more optimization.
4 415 0.923433202451 Henry Cohn, 2026, needs more optimization.
4 416 0.923453767718 Henry Cohn, 2026, needs more optimization.
4 417 0.923548194691 Henry Cohn, 2026, needs more optimization.
4 418 0.923600189340 Henry Cohn, 2026, needs more optimization.
4 419 0.923726264072 Henry Cohn, 2026, needs more optimization.
4 420 0.923894392828 Henry Cohn, 2026, needs more optimization.
4 421 0.923986107621 Henry Cohn, 2026, needs more optimization.
4 422 0.924135343507 Henry Cohn, 2026, needs more optimization.
4 423 0.924286748222 Henry Cohn, 2026, needs more optimization.
4 424 0.924503919253 Henry Cohn, 2026, needs more optimization.
4 425 0.924701366266 Henry Cohn, 2026, needs more optimization.
4 426 0.924908174289 Henry Cohn, 2026, needs more optimization.
4 427 0.925107271392 Henry Cohn, 2026, needs more optimization.
4 428 0.925225857682 Henry Cohn, 2026, needs more optimization.
4 429 0.925413802667 Henry Cohn, 2026, needs more optimization.
4 430 0.925533387363 Henry Cohn, 2026, needs more optimization.
4 431 0.925693084387 Henry Cohn, 2026, needs more optimization.
4 432 0.925804694223 Henry Cohn, 2026, needs more optimization.
4 433 0.925934326598 Henry Cohn, 2026, needs more optimization.
4 434 0.926000276218 Henry Cohn, 2026, needs more optimization.
4 435 0.926184939470 Henry Cohn, 2026, needs more optimization.
4 436 0.926275588653 Henry Cohn, 2026, needs more optimization.
4 437 0.926443229580 Henry Cohn, 2026, needs more optimization.
4 438 0.926608885156 Henry Cohn, 2026, needs more optimization.
4 439 0.926762879299 Henry Cohn, 2026, needs more optimization.
4 440 0.926892469551 Henry Cohn, 2026, needs more optimization.
4 441 0.927037959139 Henry Cohn, 2026, needs more optimization.
4 442 0.927162099986 Henry Cohn, 2026, needs more optimization.
4 443 0.927212148368 Henry Cohn, 2026, needs more optimization.
4 444 0.927343115698 Henry Cohn, 2026, needs more optimization.
4 445 0.927430849276 Henry Cohn, 2026, needs more optimization.
4 446 0.927514579752 Henry Cohn, 2026, needs more optimization.
4 447 0.927594923608 Henry Cohn, 2026, needs more optimization.
4 448 0.927713311902 Henry Cohn, 2026, needs more optimization.
4 449 0.927855630765 Henry Cohn, 2026, needs more optimization.
4 450 0.928011963562 Henry Cohn, 2026, needs more optimization.
4 451 0.928083348170 Henry Cohn, 2026, needs more optimization.
4 452 0.928145010971 Henry Cohn, 2026, needs more optimization.
4 453 0.928200930601 Henry Cohn, 2026, needs more optimization.
4 454 0.928309384744 Henry Cohn, 2026, needs more optimization.
4 455 0.928328287225 Henry Cohn, 2026, needs more optimization.
4 456 0.928427946889 Henry Cohn, 2026, needs more optimization.
4 457 0.928543588586 Henry Cohn, 2026, needs more optimization.
4 458 0.928592837173 Henry Cohn, 2026, needs more optimization.
4 459 0.928698080481 Henry Cohn, 2026, needs more optimization.
4 460 0.928757827346 Henry Cohn, 2026, needs more optimization.
4 461 0.928916877334 Henry Cohn, 2026, needs more optimization.
4 462 0.929031845759 Henry Cohn, 2026, needs more optimization.
4 463 0.929131147769 Henry Cohn, 2026, needs more optimization.
4 464 0.929226692398 Henry Cohn, 2026, needs more optimization.
4 465 0.929339167069 Henry Cohn, 2026, needs more optimization.
4 466 0.929507576877 Henry Cohn, 2026, needs more optimization.
4 467 0.929654542036 Henry Cohn, 2026, needs more optimization.
4 468 0.929731971492 Henry Cohn, 2026, needs more optimization.
4 469 0.929859440776 Henry Cohn, 2026, needs more optimization.
4 470 0.929984976460 Henry Cohn, 2026, needs more optimization.
4 471 0.930101751229 Henry Cohn, 2026, needs more optimization.
4 472 0.930284684476 Henry Cohn, 2026, needs more optimization.
4 473 0.930410830823 Henry Cohn, 2026, needs more optimization.
4 474 0.930545716034 Henry Cohn, 2026, needs more optimization.
4 475 0.930659209914 Henry Cohn, 2026, needs more optimization.
4 476 0.930697970462 Henry Cohn, 2026, needs more optimization.
4 477 0.930793015049 Henry Cohn, 2026, needs more optimization.
4 478 0.930961790834 Henry Cohn, 2026, needs more optimization.
4 479 0.930994824529 Henry Cohn, 2026, needs more optimization.
4 480 0.931045719237 Henry Cohn, 2026, needs more optimization.
4 481 0.931140677001 Henry Cohn, 2026, needs more optimization.
4 482 0.931248367648 Henry Cohn, 2026, needs more optimization.
4 483 0.931363701678 Henry Cohn, 2026, needs more optimization.
4 484 0.931488274373 Henry Cohn, 2026, needs more optimization.
4 485 0.931578245462 Henry Cohn, 2026, needs more optimization.
4 486 0.931621850167 Henry Cohn, 2026, needs more optimization.
4 487 0.931708801208 Henry Cohn, 2026, needs more optimization.
4 488 0.931812985441 Henry Cohn, 2026, needs more optimization.
4 489 0.931864702344 Henry Cohn, 2026, needs more optimization.
4 490 0.931968891154 Henry Cohn, 2026, needs more optimization.
4 491 0.932017945802 Henry Cohn, 2026, needs more optimization.
4 492 0.932073672614 Henry Cohn, 2026, needs more optimization.
4 493 0.932142407459 Henry Cohn, 2026, needs more optimization.
4 494 0.932206381325 Henry Cohn, 2026, needs more optimization.
4 495 0.932289828197 Henry Cohn, 2026, needs more optimization.
4 496 0.932381200825 Henry Cohn, 2026, needs more optimization.
4 497 0.932492255587 Henry Cohn, 2026, needs more optimization.
4 498 0.932589261455 Henry Cohn, 2026, needs more optimization.
4 499 0.932634970821 Henry Cohn, 2026, needs more optimization.
4 500 0.932711847982 Henry Cohn, 2026, needs more optimization.
4 501 0.932739627741 Henry Cohn, 2026, needs more optimization.
4 502 0.932866412734 Henry Cohn, 2026, needs more optimization.
4 503 0.932925234688 Henry Cohn, 2026, needs more optimization.
4 504 0.933025768336 Henry Cohn, 2026, needs more optimization.
4 505 0.933094495864 Henry Cohn, 2026, needs more optimization.
4 506 0.933166549437 Henry Cohn, 2026, needs more optimization.
4 507 0.933277998484 Henry Cohn, 2026, needs more optimization.
4 508 0.933351224413 Henry Cohn, 2026, needs more optimization.
4 509 0.933456978351 Henry Cohn, 2026, needs more optimization.
4 510 0.933546598648 Henry Cohn, 2026, needs more optimization.
4 511 0.933642797781 Henry Cohn, 2026, needs more optimization.
4 512 0.933740947788 Henry Cohn, 2026, needs more optimization.
4 513 0.933892233765 Henry Cohn, 2026, needs more optimization.
4 514 0.933943707994 Henry Cohn, 2026, needs more optimization.
4 515 0.934030084903 Henry Cohn, 2026, needs more optimization.
4 516 0.934176490489 Henry Cohn, 2026, needs more optimization.
4 517 0.934195194206 Henry Cohn, 2026, needs more optimization.
4 518 0.934306693483 Henry Cohn, 2026, needs more optimization.
4 519 0.934447131874 Henry Cohn, 2026, needs more optimization.
4 520 0.934504555235 Henry Cohn, 2026, needs more optimization.
4 521 0.934589035591 Henry Cohn, 2026, needs more optimization.
4 522 0.934732393209 Henry Cohn, 2026, needs more optimization.
4 523 0.934787537370 Henry Cohn, 2026, needs more optimization.
4 524 0.934877153345 Henry Cohn, 2026, needs more optimization.
4 525 0.934988832551 Henry Cohn, 2026, needs more optimization.
4 526 0.935085837438 Henry Cohn, 2026, needs more optimization.
4 527 0.935179774834 Henry Cohn, 2026, needs more optimization.
4 528 0.935248363060 Henry Cohn, 2026, needs more optimization.
4 529 0.935293553258 Henry Cohn, 2026, needs more optimization.
4 530 0.935327734491 Henry Cohn, 2026, needs more optimization.
4 531 0.935458459029 Henry Cohn, 2026, needs more optimization.
4 532 0.935523554749 Henry Cohn, 2026, needs more optimization.
4 533 0.935593015696 Henry Cohn, 2026, needs more optimization.
4 534 0.935716596496 Henry Cohn, 2026, needs more optimization.
4 535 0.935748612556 Henry Cohn, 2026, needs more optimization.
4 536 0.935865923896 Henry Cohn, 2026, needs more optimization.
4 537 0.935868586347 Henry Cohn, 2026, needs more optimization.
4 538 0.936005184715 Henry Cohn, 2026, needs more optimization.
4 539 0.936071588274 Henry Cohn, 2026, needs more optimization.
4 540 0.936169895207 Henry Cohn, 2026, needs more optimization.
4 541 0.936205221274 Henry Cohn, 2026, needs more optimization.
4 542 0.936273819773 Henry Cohn, 2026, needs more optimization.
4 543 0.936388386537 Henry Cohn, 2026, needs more optimization.
4 544 0.936454198312 Henry Cohn, 2026, needs more optimization.
4 545 0.936535440513 Henry Cohn, 2026, needs more optimization.
4 546 0.936574027324 Henry Cohn, 2026, needs more optimization.
4 547 0.936601417734 Henry Cohn, 2026, needs more optimization.
4 548 0.936672033427 Henry Cohn, 2026, needs more optimization.
4 549 0.936740278647 Henry Cohn, 2026, needs more optimization.
4 550 0.936831813648 Henry Cohn, 2026, needs more optimization.
4 551 0.936862044795 Henry Cohn, 2026, needs more optimization.
4 552 0.936983167821 Henry Cohn, 2026, needs more optimization.
4 553 0.937069034860 Henry Cohn, 2026, needs more optimization.
4 554 0.937187271110 Henry Cohn, 2026, needs more optimization.
4 555 0.937289789684 Henry Cohn, 2026, needs more optimization.
4 556 0.937343525841 Henry Cohn, 2026, needs more optimization.
4 557 0.937412163845 Henry Cohn, 2026, needs more optimization.
4 558 0.937538491431 Henry Cohn, 2026, needs more optimization.
4 559 0.937610091563 Henry Cohn, 2026, needs more optimization.
4 560 0.937689122103 Henry Cohn, 2026, needs more optimization.
4 561 0.937742353226 Henry Cohn, 2026, needs more optimization.
4 562 0.937801344884 Henry Cohn, 2026, needs more optimization.
4 563 0.937856799338 Henry Cohn, 2026, needs more optimization.
4 564 0.937947313045 Henry Cohn, 2026, needs more optimization.
4 565 0.938002457308 Henry Cohn, 2026, needs more optimization.
4 566 0.938109661451 Henry Cohn, 2026, needs more optimization.
4 567 0.938171322535 Henry Cohn, 2026, needs more optimization.
4 568 0.938270047181 Henry Cohn, 2026, needs more optimization.
4 569 0.938347114930 Henry Cohn, 2026, needs more optimization.
4 570 0.938350015949 Henry Cohn, 2026, needs more optimization.
4 571 0.938421792288 Henry Cohn, 2026, needs more optimization.
4 572 0.938482284731 Henry Cohn, 2026, needs more optimization.
4 573 0.938552830167 Henry Cohn, 2026, needs more optimization.
4 574 0.938670751220 Henry Cohn, 2026, needs more optimization.
4 575 0.938777299319 Henry Cohn, 2026, needs more optimization.
4 576 0.938869430143 Henry Cohn, 2026, needs more optimization.
4 577 0.938908010886 Henry Cohn, 2026, needs more optimization.
4 578 0.938954443253 Henry Cohn, 2026, needs more optimization.
4 579 0.939050619828 Henry Cohn, 2026, needs more optimization.
4 580 0.939142491092 Henry Cohn, 2026, needs more optimization.
4 581 0.939205160409 Henry Cohn, 2026, needs more optimization.
4 582 0.939264071481 Henry Cohn, 2026, needs more optimization.
4 583 0.939309753419 Henry Cohn, 2026, needs more optimization.
4 584 0.939331231999 Henry Cohn, 2026, needs more optimization.
4 585 0.939434152927 Henry Cohn, 2026, needs more optimization.
4 586 0.939488882797 Henry Cohn, 2026, needs more optimization.
4 587 0.939551552717 Henry Cohn, 2026, needs more optimization.
4 588 0.939561451444 Henry Cohn, 2026, needs more optimization.
4 589 0.939638623446 Henry Cohn, 2026, needs more optimization.
4 590 0.939654123229 Henry Cohn, 2026, needs more optimization.
4 591 0.939777509600 Henry Cohn, 2026, needs more optimization.
4 592 0.939829543428 Henry Cohn, 2026, needs more optimization.
4 593 0.939831035157 Henry Cohn, 2026, needs more optimization.
4 594 0.939850699080 Henry Cohn, 2026, needs more optimization.
4 595 0.939920146225 Henry Cohn, 2026, needs more optimization.
4 596 0.939974798818 Henry Cohn, 2026, needs more optimization.
4 597 0.939993548798 Henry Cohn, 2026, needs more optimization.
4 598 0.940087307727 Henry Cohn, 2026, needs more optimization.
4 599 0.940161043712 Henry Cohn, 2026, needs more optimization.
4 600 0.940185101904 Henry Cohn, 2026, needs more optimization.
4 601 0.940233793050 Henry Cohn, 2026, needs more optimization.
4 602 0.940340212957 Henry Cohn, 2026, needs more optimization.
4 603 0.940409639769 Henry Cohn, 2026, needs more optimization.
4 604 0.940532857800 Henry Cohn, 2026, needs more optimization.
4 605 0.940597254342 Henry Cohn, 2026, needs more optimization.
4 606 0.940630861863 Henry Cohn, 2026, needs more optimization.
4 607 0.940691061907 Henry Cohn, 2026, needs more optimization.
4 608 0.940764382665 Henry Cohn, 2026, needs more optimization.
4 609 0.940823678848 Henry Cohn, 2026, needs more optimization.
4 610 0.940913675377 Henry Cohn, 2026, needs more optimization.
4 611 0.940947809282 Henry Cohn, 2026, needs more optimization.
4 612 0.940999852695 Henry Cohn, 2026, needs more optimization.
4 613 0.941059407146 Henry Cohn, 2026, needs more optimization.
4 614 0.941166330752 Henry Cohn, 2026, needs more optimization.
4 615 0.941238181223 Henry Cohn, 2026, needs more optimization.
4 616 0.941277044557 Henry Cohn, 2026, needs more optimization.
4 617 0.941340656688 Henry Cohn, 2026, needs more optimization.
4 618 0.941404691805 Henry Cohn, 2026, needs more optimization.
4 619 0.941446183465 Henry Cohn, 2026, needs more optimization.
4 620 0.941515381733 Henry Cohn, 2026, needs more optimization.
4 621 0.941548856101 Henry Cohn, 2026, needs more optimization.
4 622 0.941658796976 Henry Cohn, 2026, needs more optimization.
4 623 0.941697264224 Henry Cohn, 2026, needs more optimization.
4 624 0.941767985147 Henry Cohn, 2026, needs more optimization.
4 625 0.941839407488 Henry Cohn, 2026, needs more optimization.
4 626 0.941956060919 Henry Cohn, 2026, needs more optimization.
4 627 0.941999048055 Henry Cohn, 2026, needs more optimization.
4 628 0.942080386599 Henry Cohn, 2026, needs more optimization.
4 629 0.942133883085 Henry Cohn, 2026, needs more optimization.
4 630 0.942219499367 Henry Cohn, 2026, needs more optimization.
4 631 0.942293082085 Henry Cohn, 2026, needs more optimization.
4 632 0.942316690801 Henry Cohn, 2026, needs more optimization.
4 633 0.942418935457 Henry Cohn, 2026, needs more optimization.
4 634 0.942494465089 Henry Cohn, 2026, needs more optimization.
4 635 0.942530445705 Henry Cohn, 2026, needs more optimization.
4 636 0.942597229239 Henry Cohn, 2026, needs more optimization.
4 637 0.942615252382 Henry Cohn, 2026, needs more optimization.
4 638 0.942693237732 Henry Cohn, 2026, needs more optimization.
4 639 0.942757406037 Henry Cohn, 2026, needs more optimization.
4 640 0.942773493350 Henry Cohn, 2026, needs more optimization.
4 641 0.942877193162 Henry Cohn, 2026, needs more optimization.
4 642 0.942969307228 Henry Cohn, 2026, needs more optimization.
4 643 0.943068713013 Henry Cohn, 2026, needs more optimization.
4 644 0.943075061826 Henry Cohn, 2026, needs more optimization.
4 645 0.943119898632 Henry Cohn, 2026, needs more optimization.
4 646 0.943160527446 Henry Cohn, 2026, needs more optimization.
4 647 0.943208753238 Henry Cohn, 2026, needs more optimization.
4 648 0.943220181153 Henry Cohn, 2026, needs more optimization.
4 649 0.943259051790 Henry Cohn, 2026, needs more optimization.
4 650 0.943274963583 Henry Cohn, 2026, needs more optimization.
4 651 0.943341084760 Henry Cohn, 2026, needs more optimization.
4 652 0.943365611321 Henry Cohn, 2026, needs more optimization.
4 653 0.943380012258 Henry Cohn, 2026, needs more optimization.
4 654 0.943393120264 Henry Cohn, 2026, needs more optimization.
4 655 0.943452617627 Henry Cohn, 2026, needs more optimization.
4 656 0.943485661456 Henry Cohn, 2026, needs more optimization.
4 658 0.943547909333 Henry Cohn, 2026, needs more optimization.
4 659 0.943564855071 Henry Cohn, 2026, needs more optimization.
4 660 0.943595020161 Henry Cohn, 2026, needs more optimization.
4 661 0.943625505991 Henry Cohn, 2026, needs more optimization.
4 662 0.943665803208 Henry Cohn, 2026, needs more optimization.
4 663 0.943710396141 Henry Cohn, 2026, needs more optimization.
4 664 0.943744775763 Henry Cohn, 2026, needs more optimization.
4 665 0.943781925465 Henry Cohn, 2026, needs more optimization.
4 666 0.943798528655 Henry Cohn, 2026, needs more optimization.
4 667 0.943829251163 Henry Cohn, 2026, needs more optimization.
4 668 0.943865749223 Henry Cohn, 2026, needs more optimization.
4 669 0.943892089401 Henry Cohn, 2026, needs more optimization.
4 670 0.943961177101 Henry Cohn, 2026, needs more optimization.
4 671 0.943998606685 Henry Cohn, 2026, needs more optimization.
4 672 0.944040892770 Henry Cohn, 2026, needs more optimization.
4 673 0.944116367037 Henry Cohn, 2026, needs more optimization.
4 674 0.944215485849 Henry Cohn, 2026, needs more optimization.
4 675 0.944324080006 Henry Cohn, 2026, needs more optimization.
4 676 0.944351983467 Henry Cohn, 2026, needs more optimization.
4 677 0.944400713411 Henry Cohn, 2026, needs more optimization.
4 678 0.944513772699 Henry Cohn, 2026, needs more optimization.
4 679 0.944593702477 Henry Cohn, 2026, needs more optimization.
4 680 0.944649940111 Henry Cohn, 2026, needs more optimization.
4 681 0.944720415678 Henry Cohn, 2026, needs more optimization.
4 682 0.944806191486 Henry Cohn, 2026, needs more optimization.
4 683 0.944833605135 Henry Cohn, 2026, needs more optimization.
4 684 0.944917206519 Henry Cohn, 2026, needs more optimization.
4 685 0.944978329377 Henry Cohn, 2026, needs more optimization.
4 686 0.945015771042 Henry Cohn, 2026, needs more optimization.
4 687 0.945150376052 Henry Cohn, 2026, needs more optimization.
4 688 0.945218056132 Henry Cohn, 2026, needs more optimization.
4 689 0.945293956120 Henry Cohn, 2026, needs more optimization.
4 690 0.945360549557 Henry Cohn, 2026, needs more optimization.
4 691 0.945456957203 Henry Cohn, 2026, needs more optimization.
4 692 0.945504216571 Henry Cohn, 2026, needs more optimization.
4 693 0.945612977334 Henry Cohn, 2026, needs more optimization.
4 694 0.945657102653 Henry Cohn, 2026, needs more optimization.
4 695 0.945722494103 Henry Cohn, 2026, needs more optimization.
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4 700 0.946036637032 Henry Cohn, 2026, needs more optimization.
4 701 0.946102709592 Henry Cohn, 2026, needs more optimization.
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4 704 0.946306499501 Henry Cohn, 2026, needs more optimization.
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4 707 0.946433137190 Henry Cohn, 2026, needs more optimization.
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4 710 0.946556812896 Henry Cohn, 2026, needs more optimization.
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4 713 0.946724740558 Henry Cohn, 2026, needs more optimization.
4 714 0.946789969042 Henry Cohn, 2026, needs more optimization.
4 715 0.946815218210 Henry Cohn, 2026, needs more optimization.
4 716 0.946823282494 Henry Cohn, 2026, needs more optimization.
4 717 0.946898087948 Henry Cohn, 2026, needs more optimization.
4 718 0.946927224602 Henry Cohn, 2026, needs more optimization.
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4 727 0.947255642524 Henry Cohn, 2026, needs more optimization.
4 728 0.947310655126 Henry Cohn, 2026, needs more optimization.
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4 730 0.947426223361 Henry Cohn, 2026, needs more optimization.
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4 732 0.947506281529 Henry Cohn, 2026, needs more optimization.
4 733 0.947549507530 Henry Cohn, 2026, needs more optimization.
4 734 0.947552767913 Henry Cohn, 2026, needs more optimization.
4 735 0.947576467346 Henry Cohn, 2026, needs more optimization.
4 736 0.947612433736 Henry Cohn, 2026, needs more optimization.
4 737 0.947664502369 Henry Cohn, 2026, needs more optimization.
4 738 0.947678080643 Henry Cohn, 2026, needs more optimization.
4 739 0.947708377078 Henry Cohn, 2026, needs more optimization.
4 740 0.947739014594 Henry Cohn, 2026, needs more optimization.
4 741 0.947824530132 Henry Cohn, 2026, needs more optimization.
4 742 0.947839631049 Henry Cohn, 2026, needs more optimization.
4 743 0.947865230844 Henry Cohn, 2026, needs more optimization.
4 744 0.947943923775 Henry Cohn, 2026, needs more optimization.
4 745 0.947999580637 Henry Cohn, 2026, needs more optimization.
4 746 0.948056770704 Henry Cohn, 2026, needs more optimization.
4 747 0.948099385496 Henry Cohn, 2026, needs more optimization.
4 748 0.948120178331 Henry Cohn, 2026, needs more optimization.
4 749 0.948183386238 Henry Cohn, 2026, needs more optimization.
4 750 0.948241758896 Henry Cohn, 2026, needs more optimization.
4 751 0.948283005418 Henry Cohn, 2026, needs more optimization.
4 752 0.948319429053 Henry Cohn, 2026, needs more optimization.
4 753 0.948344472213 Henry Cohn, 2026, needs more optimization.
4 754 0.948359628330 Henry Cohn, 2026, needs more optimization.
4 755 0.948384930158 Henry Cohn, 2026, needs more optimization.
4 756 0.948421309940 Henry Cohn, 2026, needs more optimization.
4 757 0.948470829235 Henry Cohn, 2026, needs more optimization.
4 758 0.948529416558 Henry Cohn, 2026, needs more optimization.
4 759 0.948558170369 Henry Cohn, 2026, needs more optimization.
4 760 0.948642287570 Henry Cohn, 2026, needs more optimization.
4 761 0.948683681174 Henry Cohn, 2026, needs more optimization.
4 762 0.948762640934 Henry Cohn, 2026, needs more optimization.
4 763 0.948802707206 Henry Cohn, 2026, needs more optimization.
4 764 0.948843162309 Henry Cohn, 2026, needs more optimization.
4 765 0.948851218676 Henry Cohn, 2026, needs more optimization.
4 766 0.948911695608 Henry Cohn, 2026, needs more optimization.
4 767 0.948943280080 Henry Cohn, 2026, needs more optimization.
4 768 0.948972082903 Henry Cohn, 2026, needs more optimization.
4 769 0.949051245135 Henry Cohn, 2026, needs more optimization.
4 770 0.949099904590 Henry Cohn, 2026, needs more optimization.
4 771 0.949106253525 Henry Cohn, 2026, needs more optimization.
4 772 0.949148354720 Henry Cohn, 2026, needs more optimization.
4 773 0.949230965860 Henry Cohn, 2026, needs more optimization.
4 774 0.949300524908 Henry Cohn, 2026, needs more optimization.
4 775 0.949337667860 Henry Cohn, 2026, needs more optimization.
4 776 0.949367164090 Henry Cohn, 2026, needs more optimization.
4 777 0.949405852596 Henry Cohn, 2026, needs more optimization.
4 778 0.949416626520 Henry Cohn, 2026, needs more optimization.
4 779 0.949500357456 Henry Cohn, 2026, needs more optimization.
4 780 0.949517123119 Henry Cohn, 2026, needs more optimization.
4 781 0.949535272424 Henry Cohn, 2026, needs more optimization.
4 782 0.949547058869 Henry Cohn, 2026, needs more optimization.
4 783 0.949604628442 Henry Cohn, 2026, needs more optimization.
4 784 0.949658010996 Henry Cohn, 2026, needs more optimization.
4 785 0.949674366603 Henry Cohn, 2026, needs more optimization.
4 786 0.949735677397 Henry Cohn, 2026, needs more optimization.
4 787 0.949765755026 Henry Cohn, 2026, needs more optimization.
4 788 0.949807977439 Henry Cohn, 2026, needs more optimization.
4 789 0.949824124186 Henry Cohn, 2026, needs more optimization.
4 790 0.949866157740 Henry Cohn, 2026, needs more optimization.
4 791 0.949890767157 Henry Cohn, 2026, needs more optimization.
4 792 0.949939424096 Henry Cohn, 2026, needs more optimization.
4 794 0.949991861783 Henry Cohn, 2026, needs more optimization.
4 795 0.950019211726 Henry Cohn, 2026, needs more optimization.
4 796 0.950053078871 Henry Cohn, 2026, needs more optimization.
4 797 0.950074559375 Henry Cohn, 2026, needs more optimization.
4 798 0.950092238946 Henry Cohn, 2026, needs more optimization.
4 799 0.950138881952 Henry Cohn, 2026, needs more optimization.
4 801 0.950168771419 Henry Cohn, 2026, needs more optimization.
4 802 0.950169589150 Henry Cohn, 2026, needs more optimization.
4 803 0.950213703998 Henry Cohn, 2026, needs more optimization.
4 804 0.950239375113 Henry Cohn, 2026, needs more optimization.
4 805 0.950270171907 Henry Cohn, 2026, needs more optimization.
4 806 0.950298021939 Henry Cohn, 2026, needs more optimization.
4 807 0.950316361661 Henry Cohn, 2026, needs more optimization.
4 809 0.950367189305 Henry Cohn, 2026, needs more optimization.
4 810 0.950416857891 Henry Cohn, 2026, needs more optimization.
4 811 0.950419878239 Henry Cohn, 2026, needs more optimization.
4 812 0.950467740682 Henry Cohn, 2026, needs more optimization.
4 813 0.950489062406 Henry Cohn, 2026, needs more optimization.
4 814 0.950521501449 Henry Cohn, 2026, needs more optimization.
4 815 0.950524699102 Henry Cohn, 2026, needs more optimization.
4 816 0.950550117052 Henry Cohn, 2026, needs more optimization.
4 817 0.950563972236 Henry Cohn, 2026, needs more optimization.
4 818 0.950569722552 Henry Cohn, 2026, needs more optimization.
4 819 0.950572425066 Henry Cohn, 2026, needs more optimization.
4 820 0.950604157873 Henry Cohn, 2026, needs more optimization.
4 823 0.950619208798 Henry Cohn, 2026, needs more optimization.
4 824 0.950785571217 Henry Cohn, 2026, needs more optimization.
4 826 0.950786250821 Henry Cohn, 2026, needs more optimization.
4 827 0.950790655802 Henry Cohn, 2026, needs more optimization.
4 828 0.950795620242 Henry Cohn, 2026, needs more optimization.
4 831 0.950796597284 Henry Cohn, 2026, needs more optimization.
4 840 0.950797547280 Henry Cohn, 2025, needs more optimization.
4 841 0.950957196238 Henry Cohn, 2026, needs more optimization.
4 842 0.951053147054 Henry Cohn, 2026, needs more optimization.
4 843 0.951119903287 Henry Cohn, 2026, needs more optimization.
4 844 0.951237267626 Henry Cohn, 2026, needs more optimization.
4 845 0.951289581792 Henry Cohn, 2026, needs more optimization.
4 846 0.951405843424 Henry Cohn, 2026, needs more optimization.
4 847 0.951469628280 Henry Cohn, 2026, needs more optimization.
4 848 0.951553739421 Henry Cohn, 2026, needs more optimization.
4 849 0.951616391711 Henry Cohn, 2026, needs more optimization.
4 850 0.951691477715 Henry Cohn, 2026, needs more optimization.
4 851 0.951799061321 Henry Cohn, 2026, needs more optimization.
4 852 0.951837331086 Henry Cohn, 2026, needs more optimization.
4 853 0.951908853437 Henry Cohn, 2026, needs more optimization.
4 854 0.951988455843 Henry Cohn, 2026, needs more optimization.
4 855 0.952037496904 Henry Cohn, 2026, needs more optimization.
4 856 0.952136681655 Henry Cohn, 2026, needs more optimization.
4 857 0.952193174678 Henry Cohn, 2026, needs more optimization.
4 858 0.952233507279 Henry Cohn, 2026, needs more optimization.
4 859 0.952307663646 Henry Cohn, 2026, needs more optimization.
4 860 0.952375703092 Henry Cohn, 2026, needs more optimization.
4 861 0.952476748956 Henry Cohn, 2026, needs more optimization.
4 862 0.952489633515 Henry Cohn, 2026, needs more optimization.
4 863 0.952571391978 Henry Cohn, 2026, needs more optimization.
4 864 0.952617855916 Henry Cohn, 2026, needs more optimization.
4 865 0.952691304946 Henry Cohn, 2026, needs more optimization.
4 866 0.952774476745 Henry Cohn, 2026, needs more optimization.
4 867 0.952838536773 Henry Cohn, 2026, needs more optimization.
4 868 0.952844786402 Henry Cohn, 2026, needs more optimization.
4 869 0.952849792137 Henry Cohn, 2026, needs more optimization.
4 870 0.952850435811 Henry Cohn, 2026, needs more optimization.
4 871 0.952873799619 Henry Cohn, 2026, needs more optimization.
4 872 0.952918273965 Henry Cohn, 2026, needs more optimization.
4 873 0.952952861275 Henry Cohn, 2026, needs more optimization.
4 874 0.952963148092 Henry Cohn, 2026, needs more optimization.
4 875 0.953001656084 Henry Cohn, 2026, needs more optimization.
4 876 0.953015326723 Henry Cohn, 2026, needs more optimization.
4 877 0.953070127346 Henry Cohn, 2026, needs more optimization.
4 878 0.953113949786 Henry Cohn, 2026, needs more optimization.
4 879 0.953155883879 Henry Cohn, 2026, needs more optimization.
4 880 0.953173177105 Henry Cohn, 2026, needs more optimization.
4 881 0.953219414471 Henry Cohn, 2026, needs more optimization.
4 882 0.953262746296 Henry Cohn, 2026, needs more optimization.
4 883 0.953293130025 Henry Cohn, 2026, needs more optimization.
4 884 0.953302407147 Henry Cohn, 2026, needs more optimization.
4 885 0.953337966711 Henry Cohn, 2026, needs more optimization.
4 886 0.953395870961 Henry Cohn, 2026, needs more optimization.
4 887 0.953417988090 Henry Cohn, 2026, needs more optimization.
4 888 0.953422580013 Henry Cohn, 2026, needs more optimization.
4 889 0.953473970824 Henry Cohn, 2026, needs more optimization.
4 890 0.953542874568 Henry Cohn, 2026, needs more optimization.
4 891 0.953577830499 Henry Cohn, 2026, needs more optimization.
4 892 0.953594842923 Henry Cohn, 2026, needs more optimization.
4 893 0.953665925903 Henry Cohn, 2026, needs more optimization.
4 896 0.953697997746 Henry Cohn, 2026, needs more optimization.
4 897 0.953715599667 Henry Cohn, 2026, needs more optimization.
4 898 0.953776254319 Henry Cohn, 2026, needs more optimization.
4 899 0.953783824531 Henry Cohn, 2026, needs more optimization.
4 900 0.953840541439 Henry Cohn, 2026, needs more optimization.
4 901 0.953856721475 Henry Cohn, 2026, needs more optimization.
4 902 0.953895761380 Henry Cohn, 2026, needs more optimization.
4 903 0.953933101183 Henry Cohn, 2026, needs more optimization.
4 904 0.953973183250 Henry Cohn, 2026, needs more optimization.
4 905 0.954048094016 Henry Cohn, 2026, needs more optimization.
4 906 0.954084623660 Henry Cohn, 2026, needs more optimization.
4 907 0.954117108825 Henry Cohn, 2026, needs more optimization.
4 909 0.954121126578 Henry Cohn, 2026, needs more optimization.
4 910 0.954141567658 Henry Cohn, 2026, needs more optimization.
4 911 0.954149118653 Henry Cohn, 2026, needs more optimization.
4 912 0.954158005934 Henry Cohn, 2026, needs more optimization.
4 913 0.954159238273 Henry Cohn, 2026, needs more optimization.
4 914 0.954190263668 Henry Cohn, 2026, needs more optimization.
4 915 0.954211962848 Henry Cohn, 2026, needs more optimization.
4 916 0.954242457561 Henry Cohn, 2026, needs more optimization.
4 917 0.954300748850 Henry Cohn, 2026, needs more optimization.
4 918 0.954336927607 Henry Cohn, 2026, needs more optimization.
4 919 0.954387899753 Henry Cohn, 2026, needs more optimization.
4 921 0.954440730055 Henry Cohn, 2026, needs more optimization.
4 922 0.954485868008 Henry Cohn, 2026, needs more optimization.
4 923 0.954547038490 Henry Cohn, 2026, needs more optimization.
4 924 0.954587486303 Henry Cohn, 2026, needs more optimization.
4 926 0.954616365204 Henry Cohn, 2026, needs more optimization.
4 927 0.954675866717 Henry Cohn, 2026, needs more optimization.
4 928 0.954734323890 Henry Cohn, 2026, needs more optimization.
4 929 0.954785694784 Henry Cohn, 2026, needs more optimization.
4 930 0.954828634495 Henry Cohn, 2026, needs more optimization.
4 931 0.954893818287 Henry Cohn, 2026, needs more optimization.
4 932 0.954921091396 Henry Cohn, 2026, needs more optimization.
4 933 0.955009294133 Henry Cohn, 2026, needs more optimization.
4 934 0.955011080298 Henry Cohn, 2026, needs more optimization.
4 935 0.955019765894 Henry Cohn, 2026, needs more optimization.
4 936 0.955079352205 Henry Cohn, 2026, needs more optimization.
4 937 0.955099441935 Henry Cohn, 2026, needs more optimization.
4 938 0.955133300240 Henry Cohn, 2026, needs more optimization.
4 939 0.955146287422 Henry Cohn, 2026, needs more optimization.
4 940 0.955164905469 Henry Cohn, 2026, needs more optimization.
4 941 0.955209541625 Henry Cohn, 2026, needs more optimization.
4 942 0.955248746320 Henry Cohn, 2026, needs more optimization.
4 943 0.955276433204 Henry Cohn, 2026, needs more optimization.
4 944 0.955321766486 Henry Cohn, 2026, needs more optimization.
4 945 0.955349840002 Henry Cohn, 2026, needs more optimization.
4 947 0.955396733881 Henry Cohn, 2026, needs more optimization.
4 948 0.955464193484 Henry Cohn, 2026, needs more optimization.
4 949 0.955496077262 Henry Cohn, 2026, needs more optimization.
4 950 0.955552995341 Henry Cohn, 2026, needs more optimization.
4 951 0.955569761793 Henry Cohn, 2026, needs more optimization.
4 952 0.955606830213 Henry Cohn, 2026, needs more optimization.
4 953 0.955637795330 Henry Cohn, 2026, needs more optimization.
4 954 0.955638467322 Henry Cohn, 2026, needs more optimization.
4 955 0.955680578946 Henry Cohn, 2026, needs more optimization.
4 956 0.955722571268 Henry Cohn, 2026, needs more optimization.
4 957 0.955760689095 Henry Cohn, 2026, needs more optimization.
4 958 0.955782217057 Henry Cohn, 2026, needs more optimization.
4 959 0.955811293876 Henry Cohn, 2026, needs more optimization.
4 960 0.955870150758 Henry Cohn, 2026, needs more optimization.
4 961 0.955903619608 Henry Cohn, 2026, needs more optimization.
4 963 0.955922212184 Henry Cohn, 2026, needs more optimization.
4 964 0.956031501588 Henry Cohn, 2026, needs more optimization.
4 965 0.956050565856 Henry Cohn, 2026, needs more optimization.
4 966 0.956072918165 Henry Cohn, 2026, needs more optimization.
4 967 0.956080136294 Henry Cohn, 2026, needs more optimization.
4 968 0.956090610238 Henry Cohn, 2026, needs more optimization.
4 969 0.956106519779 Henry Cohn, 2026, needs more optimization.
4 970 0.956121664411 Henry Cohn, 2026, needs more optimization.
4 971 0.956128594108 Henry Cohn, 2026, needs more optimization.
4 972 0.956151617966 Henry Cohn, 2026, needs more optimization.
4 973 0.956165253212 Henry Cohn, 2026, needs more optimization.
4 974 0.956173518320 Henry Cohn, 2026, needs more optimization.
4 975 0.956190132250 Henry Cohn, 2026, needs more optimization.
4 976 0.956227923316 Henry Cohn, 2026, needs more optimization.
4 977 0.956299645080 Henry Cohn, 2026, needs more optimization.
4 978 0.956307267675 Henry Cohn, 2026, needs more optimization.
4 979 0.956336581148 Henry Cohn, 2026, needs more optimization.
4 980 0.956383062114 Henry Cohn, 2026, needs more optimization.
4 981 0.956481412139 Henry Cohn, 2026, needs more optimization.
4 982 0.956543968485 Henry Cohn, 2026, needs more optimization.
4 983 0.956567165462 Henry Cohn, 2026, needs more optimization.
4 985 0.956642272698 Henry Cohn, 2026, needs more optimization.
4 986 0.956659862948 Henry Cohn, 2026, needs more optimization.
4 988 0.956665974445 Henry Cohn, 2026, needs more optimization.
4 989 0.956719373370 Henry Cohn, 2026, needs more optimization.
4 990 0.956775861851 Henry Cohn, 2026, needs more optimization.
4 991 0.956834185447 Henry Cohn, 2026, needs more optimization.
4 992 0.956879183258 Henry Cohn, 2026, needs more optimization.
4 993 0.956950696908 Henry Cohn, 2026, needs more optimization.
4 994 0.956981893848 Henry Cohn, 2026, needs more optimization.
4 995 0.957036847983 Henry Cohn, 2026, needs more optimization.
4 996 0.957060829053 Henry Cohn, 2026, needs more optimization.
4 997 0.957126741702 Henry Cohn, 2026, needs more optimization.
4 998 0.957149629956 Henry Cohn, 2026, needs more optimization.
4 999 0.957196783985 Henry Cohn, 2026, needs more optimization.
4 1000 0.957243449621 Henry Cohn, 2026, needs more optimization.
4 1001 0.957260884086 Henry Cohn, 2026, needs more optimization.
4 1002 0.957297313244 Henry Cohn, 2026, needs more optimization.
4 1003 0.957339222521 Henry Cohn, 2026, needs more optimization.
4 1004 0.957358924721 Henry Cohn, 2026, needs more optimization.
4 1006 0.957383127314 Henry Cohn, 2026, needs more optimization.
4 1007 0.957398462804 Henry Cohn, 2026, needs more optimization.
4 1008 0.957447227341 Henry Cohn, 2026, needs more optimization.
4 1009 0.957469041918 Henry Cohn, 2026, needs more optimization.
4 1010 0.957492312325 Henry Cohn, 2026, needs more optimization.
4 1011 0.957548732214 Henry Cohn, 2026, needs more optimization.
4 1013 0.957583059543 Henry Cohn, 2026, needs more optimization.
4 1014 0.957609651500 Henry Cohn, 2026, needs more optimization.
4 1015 0.957637092381 Henry Cohn, 2026, needs more optimization.
4 1016 0.957664666633 Henry Cohn, 2026, needs more optimization.
4 1017 0.957674838264 Henry Cohn, 2026, needs more optimization.
4 1018 0.957718452932 Henry Cohn, 2026, needs more optimization.
4 1019 0.957741275288 Henry Cohn, 2026, needs more optimization.
4 1020 0.957758178018 Henry Cohn, 2026, needs more optimization.
4 1022 0.957789425602 Henry Cohn, 2026, needs more optimization.
4 1023 0.957844544208 Henry Cohn, 2026, needs more optimization.
4 1024 0.957905035431 Henry Cohn, 2026, needs more optimization.
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 0.514994652513 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
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 0.640236043820 Henry Cohn, 2025.
5 79 0.643657523051 Henry Cohn, 2025.
5 80 0.646960184204 Henry Cohn, 2025.
5 81 0.648893901838 Henry Cohn, 2025.
5 82 0.651451517528 Henry Cohn, 2025.
5 83 0.655404165086 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
5 84 0.657612544747 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
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 0.664476994912 Henry Cohn, 2025.
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 0.672086633602 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
5 93 0.673631229212 Henry Cohn, 2026.
5 94 0.674852218199 Henry Cohn, 2026.
5 95 0.676048898306 Henry Cohn, 2026.
5 96 0.677473018556 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
5 97 0.679241845577 Henry Cohn, 2025.
5 98 0.680270697922 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
5 99 0.681881045310 Henry Cohn, 2025.
5 100 0.683153263764 Henry Cohn, 2025.
5 101 0.685186090412 Henry Cohn, 2025.
5 102 0.687443384073 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
5 103 0.688903541719 Henry Cohn, 2025.
5 104 0.689715870633 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
5 105 0.690713474104 Henry Cohn, 2025.
5 106 0.692005491905 Henry Cohn, 2025.
5 107 0.693863512900 Henry Cohn, 2025.
5 108 0.695352226010 Henry Cohn, 2025.
5 109 0.696434500115 Henry Cohn, 2025.
5 110 0.698102767792 Henry Cohn, 2025.
5 111 0.699314990430 Henry Cohn, 2025.
5 112 0.700443897808 Henry Cohn, 2025.
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 0.703016293967 Henry Cohn, 2025.
5 115 0.704057149283 Henry Cohn, 2025.
5 116 0.705292505873 Henry Cohn, 2025.
5 117 0.706879377909 Henry Cohn, 2025.
5 118 0.708028481260 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
5 119 0.709336098101 Henry Cohn, 2025.
5 120 0.710406057156 Henry Cohn, 2025.
5 121 0.711530217808 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
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 0.716344500109 Henry Cohn, 2026.
5 126 0.717125378112 Henry Cohn, 2025.
5 127 0.718593652896 Henry Cohn, 2025.
5 128 0.719621301444 Henry Cohn, 2025.
5 129 0.720947646950 Henry Cohn, 2025.
5 130 0.721711816020 Henry Cohn, 2025.
5 131 0.723208608895 Henry Cohn, 2025.
5 132 0.724187141008 Henry Cohn, 2026, needs more optimization.
5 133 0.725083698451 Henry Cohn, 2026, needs more optimization.
5 134 0.726667479555 Henry Cohn, 2026, needs more optimization.
5 135 0.727819930944 Henry Cohn, 2025.
5 136 0.728641959070 Henry Cohn, 2026.
5 137 0.730011100633 Henry Cohn, 2025.
5 138 0.730143082796 Henry Cohn, 2025.
5 139 0.731003426111 Henry Cohn, 2026, needs more optimization.
5 140 0.731880138963 Henry Cohn, 2025.
5 141 0.732919531703 Henry Cohn, 2026, needs more optimization.
5 142 0.733688627543 Henry Cohn, 2025.
5 143 0.734506087652 Henry Cohn, 2025.
5 144 0.735189318066 Henry Cohn, 2025.
5 145 0.736519094966 Henry Cohn, 2025.
5 146 0.736648368146 Henry Cohn, 2025.
5 147 0.736967148066 Henry Cohn, 2025.
5 148 0.737200174837 Henry Cohn, 2025.
5 149 0.737884019958 Henry Cohn, 2025.
5 150 0.738295981996 Henry Cohn, 2025.
5 151 0.739520836810 Henry Cohn, 2026, needs more optimization.
5 152 0.739824519106 Henry Cohn, 2025.
5 153 0.740779971316 Henry Cohn, 2025.
5 154 0.741354012157 Henry Cohn, 2025.
5 155 0.742161234709 Henry Cohn, 2025.
5 156 0.742808811623 Henry Cohn, 2025.
5 157 0.743339290160 Henry Cohn, 2025.
5 158 0.743483872288 Henry Cohn, 2026, needs more optimization.
5 159 0.743825044322 Henry Cohn, 2025.
5 160 0.744143092099 Henry Cohn, 2025.
5 161 0.747768123526 Henry Cohn, 2025.
5 162 0.748843925322 Henry Cohn, 2025.
5 163 0.750218552457 Henry Cohn, 2025.
5 164 0.750876806783 Henry Cohn, 2025.
5 165 0.752079878060 Henry Cohn, 2025.
5 166 0.752534073395 Henry Cohn, 2025.
5 167 0.753532673949 Henry Cohn, 2025.
5 168 0.754218675211 Henry Cohn, 2025.
5 169 0.755416175364 Henry Cohn, 2025.
5 170 0.755993792807 Henry Cohn, 2025.
5 171 0.756800051039 Henry Cohn, 2025.
5 172 0.757288355849 Henry Cohn, 2025.
5 173 0.758614845948 Henry Cohn, 2026, needs more optimization.
5 174 0.759690412033 Henry Cohn, 2025.
5 175 0.760597483271 Henry Cohn, 2025.
5 176 0.761278064091 Henry Cohn, 2025.
5 177 0.762581480012 Henry Cohn, 2026, needs more optimization.
5 178 0.763315108223 Henry Cohn, 2025.
5 179 0.763497159021 Henry Cohn, 2026, needs more optimization.
5 180 0.763782659007 Henry Cohn, 2026, needs more optimization.
5 181 0.764591837019 Henry Cohn, 2026, needs more optimization.
5 182 0.765130451769 Henry Cohn, 2026, needs more optimization.
5 183 0.765582256268 Henry Cohn, 2026, needs more optimization.
5 184 0.766275928583 Henry Cohn, 2026, needs more optimization.
5 185 0.766837165728 Henry Cohn, 2026, needs more optimization.
5 186 0.767264937530 Henry Cohn, 2026, needs more optimization.
5 187 0.767582526057 Henry Cohn, 2026, needs more optimization.
5 188 0.768345171684 Henry Cohn, 2026, needs more optimization.
5 189 0.769128049524 Henry Cohn, 2026, needs more optimization.
5 190 0.769548343379 Henry Cohn, 2026, needs more optimization.
5 191 0.770477151449 Henry Cohn, 2025.
5 192 0.771106184963 Henry Cohn, 2026, needs more optimization.
5 193 0.771229480375 Henry Cohn, 2026, needs more optimization.
5 194 0.772357310102 Henry Cohn, 2025.
5 195 0.772914025091 Henry Cohn, 2025.
5 196 0.773688919192 Henry Cohn, 2026, needs more optimization.
5 197 0.774038016208 Henry Cohn, 2026, needs more optimization.
5 198 0.774803572050 Henry Cohn, 2026, needs more optimization.
5 199 0.775242540360 Henry Cohn, 2025.
5 200 0.775814258853 Henry Cohn, 2025.
5 201 0.776373915618 Henry Cohn, 2026, needs more optimization.
5 202 0.776940641668 Henry Cohn, 2026, needs more optimization.
5 203 0.777755218102 Henry Cohn, 2026, needs more optimization.
5 204 0.778262339953 Henry Cohn, 2025.
5 205 0.779048071982 Henry Cohn, 2025.
5 206 0.779280532790 Henry Cohn, 2026, needs more optimization.
5 207 0.779745692392 Henry Cohn, 2026, needs more optimization.
5 208 0.780476907490 Henry Cohn, 2026, needs more optimization.
5 209 0.780858538099 Henry Cohn, 2026, needs more optimization.
5 210 0.781758437454 Henry Cohn, 2026, needs more optimization.
5 211 0.782015377559 Henry Cohn, 2026, needs more optimization.
5 212 0.782682152515 Henry Cohn, 2026, needs more optimization.
5 213 0.783136054900 Henry Cohn, 2026, needs more optimization.
5 214 0.783538576428 Henry Cohn, 2026, needs more optimization.
5 215 0.784180677953 Henry Cohn, 2026, needs more optimization.
5 216 0.784527122811 Henry Cohn, 2026, needs more optimization.
5 217 0.785213856641 Henry Cohn, 2026, needs more optimization.
5 218 0.785996484357 Henry Cohn, 2025.
5 219 0.786596974549 Henry Cohn, 2026, needs more optimization.
5 220 0.787018282398 Henry Cohn, 2026, needs more optimization.
5 221 0.787561403335 Henry Cohn, 2025.
5 222 0.788126323248 Henry Cohn, 2025.
5 223 0.788437486442 Henry Cohn, 2025.
5 224 0.788866206268 Henry Cohn, 2025.
5 225 0.789325624436 Henry Cohn, 2025.
5 226 0.789487147213 Henry Cohn, 2026, needs more optimization.
5 227 0.789764246288 Henry Cohn, 2026, needs more optimization.
5 228 0.790364928477 Henry Cohn, 2026, needs more optimization.
5 229 0.790653770385 Henry Cohn, 2026, needs more optimization.
5 230 0.791399018321 Henry Cohn, 2026, needs more optimization.
5 231 0.791480810352 Henry Cohn, 2026, needs more optimization.
5 232 0.792366183164 Henry Cohn, 2026, needs more optimization.
5 233 0.792634878841 Henry Cohn, 2026, needs more optimization.
5 234 0.792917925916 Henry Cohn, 2026, needs more optimization.
5 235 0.793372675570 Henry Cohn, 2026, needs more optimization.
5 236 0.793997899100 Henry Cohn, 2026, needs more optimization.
5 237 0.794422977065 Henry Cohn, 2026, needs more optimization.
5 238 0.795014640201 Henry Cohn, 2025.
5 239 0.795425406950 Henry Cohn, 2025.
5 240 0.795938099707 Henry Cohn, 2025.
5 241 0.796065311911 Henry Cohn, 2025.
5 242 0.796363151457 Henry Cohn, 2026, needs more optimization.
5 243 0.796601631746 Henry Cohn, 2026, needs more optimization.
5 244 0.796936228661 Henry Cohn, 2026, needs more optimization.
5 245 0.797264978382 Henry Cohn, 2026, needs more optimization.
5 246 0.797740685154 Henry Cohn, 2026, needs more optimization.
5 247 0.797961155103 Henry Cohn, 2026, needs more optimization.
5 248 0.798549669280 Henry Cohn, 2026, needs more optimization.
5 249 0.798774889919 Henry Cohn, 2026, needs more optimization.
5 250 0.798943246097 Henry Cohn, 2026, needs more optimization.
5 251 0.799363123529 Henry Cohn, 2026, needs more optimization.
5 252 0.799656063550 Henry Cohn, 2026, needs more optimization.
5 253 0.800146780510 Henry Cohn, 2026, needs more optimization.
5 254 0.800361782781 Henry Cohn, 2026, needs more optimization.
5 255 0.800624402960 Henry Cohn, 2026, needs more optimization.
5 256 0.801146365371 Henry Cohn, 2026, needs more optimization.
5 257 0.801509634724 Henry Cohn, 2026, needs more optimization.
5 258 0.801978868407 Henry Cohn, 2026, needs more optimization.
5 259 0.802392535562 Henry Cohn, 2026, needs more optimization.
5 260 0.802826665385 Henry Cohn, 2026, needs more optimization.
5 261 0.803199820448 Henry Cohn, 2026, needs more optimization.
5 262 0.803528360555 Henry Cohn, 2026, needs more optimization.
5 263 0.803880218189 Henry Cohn, 2026, needs more optimization.
5 264 0.804083663420 Henry Cohn, 2026, needs more optimization.
5 265 0.804462169829 Henry Cohn, 2026, needs more optimization.
5 266 0.804570279482 Henry Cohn, 2026, needs more optimization.
5 267 0.804873195948 Henry Cohn, 2026, needs more optimization.
5 268 0.805063737635 Henry Cohn, 2026, needs more optimization.
5 269 0.805324051114 Henry Cohn, 2026, needs more optimization.
5 270 0.805498103415 Henry Cohn, 2026, needs more optimization.
5 271 0.805741210328 Henry Cohn, 2026, needs more optimization.
5 272 0.806011224264 Henry Cohn, 2026, needs more optimization.
5 273 0.806035296846 Henry Cohn, 2026, needs more optimization.
5 274 0.806117735902 Henry Cohn, 2026, needs more optimization.
5 275 0.806248095250 Henry Cohn, 2026, needs more optimization.
5 276 0.806327580592 Henry Cohn, 2026, needs more optimization.
5 277 0.806497302111 Henry Cohn, 2026, needs more optimization.
5 278 0.806699919857 Henry Cohn, 2026, needs more optimization.
5 279 0.806782751979 Henry Cohn, 2026, needs more optimization.
5 280 0.807056687484 Henry Cohn, 2026, needs more optimization.
5 281 0.807116874392 Henry Cohn, 2026, needs more optimization.
5 282 0.807161250812 Henry Cohn, 2026, needs more optimization.
5 283 0.807742069072 Henry Cohn, 2026, needs more optimization.
5 284 0.808229716262 Henry Cohn, 2026, needs more optimization.
5 285 0.808653149516 Henry Cohn, 2026, needs more optimization.
5 286 0.809185175248 Henry Cohn, 2026, needs more optimization.
5 287 0.809590216746 Henry Cohn, 2026, needs more optimization.
5 288 0.810242063324 Henry Cohn, 2026, needs more optimization.
5 289 0.810467555689 Henry Cohn, 2026, needs more optimization.
5 290 0.811081903816 Henry Cohn, 2026, needs more optimization.
5 291 0.811567081168 Henry Cohn, 2026, needs more optimization.
5 292 0.812263730269 Henry Cohn, 2026, needs more optimization.
5 293 0.812702082856 Henry Cohn, 2026, needs more optimization.
5 294 0.813140237821 Henry Cohn, 2026, needs more optimization.
5 295 0.813704901715 Henry Cohn, 2026, needs more optimization.
5 296 0.813997556738 Henry Cohn, 2026, needs more optimization.
5 297 0.814425485026 Henry Cohn, 2026, needs more optimization.
5 298 0.815068094029 Henry Cohn, 2026, needs more optimization.
5 299 0.815433700290 Henry Cohn, 2026, needs more optimization.
5 300 0.815847945049 Henry Cohn, 2026, needs more optimization.
5 301 0.816438424708 Henry Cohn, 2026, needs more optimization.
5 302 0.817000628229 Henry Cohn, 2026, needs more optimization.
5 303 0.817467399235 Henry Cohn, 2026, needs more optimization.
5 304 0.817789676700 Henry Cohn, 2026, needs more optimization.
5 305 0.818194019506 Henry Cohn, 2026, needs more optimization.
5 306 0.818530939462 Henry Cohn, 2026, needs more optimization.
5 307 0.818934851712 Henry Cohn, 2026, needs more optimization.
5 308 0.819271321405 Henry Cohn, 2026, needs more optimization.
5 309 0.819565943303 Henry Cohn, 2026, needs more optimization.
5 310 0.819765709273 Henry Cohn, 2026, needs more optimization.
5 311 0.819767584900 Henry Cohn, 2026, needs more optimization.
5 312 0.819823863638 Henry Cohn, 2026, needs more optimization.
5 313 0.819883577794 Henry Cohn, 2026, needs more optimization.
5 314 0.819889371894 Henry Cohn, 2026, needs more optimization.
5 315 0.819897635123 Henry Cohn, 2026, needs more optimization.
5 316 0.819973072367 Henry Cohn, 2026, needs more optimization.
5 317 0.820623084099 Henry Cohn, 2026, needs more optimization.
5 318 0.820663730550 Henry Cohn, 2026, needs more optimization.
5 319 0.820665916118 Henry Cohn, 2026, needs more optimization.
5 320 0.821595530264 Henry Cohn, 2026, needs more optimization.
5 321 0.822435926712 Henry Cohn, 2026, needs more optimization.
5 322 0.822652330173 Henry Cohn, 2026, needs more optimization.
5 323 0.822766743313 Henry Cohn, 2026, needs more optimization.
5 324 0.822797671199 Henry Cohn, 2026, needs more optimization.
5 325 0.822865775069 Henry Cohn, 2026, needs more optimization.
5 326 0.823013445506 Henry Cohn, 2026, needs more optimization.
5 327 0.823304812220 Henry Cohn, 2026, needs more optimization.
5 328 0.823347728398 Henry Cohn, 2026, needs more optimization.
5 329 0.823613244429 Henry Cohn, 2026, needs more optimization.
5 330 0.823734260401 Henry Cohn, 2026, needs more optimization.
5 331 0.824019322422 Henry Cohn, 2026, needs more optimization.
5 332 0.824260313398 Henry Cohn, 2026, needs more optimization.
5 333 0.824463203060 Henry Cohn, 2026, needs more optimization.
5 334 0.824994149650 Henry Cohn, 2026, needs more optimization.
5 335 0.825224233555 Henry Cohn, 2026, needs more optimization.
5 336 0.825255634007 Henry Cohn, 2026, needs more optimization.
5 337 0.825622177596 Henry Cohn, 2026, needs more optimization.
5 338 0.826117369292 Henry Cohn, 2026, needs more optimization.
5 339 0.826187143980 Henry Cohn, 2026, needs more optimization.
5 340 0.826638991456 Henry Cohn, 2026, needs more optimization.
5 341 0.827021581404 Henry Cohn, 2026, needs more optimization.
5 342 0.827286695648 Henry Cohn, 2026, needs more optimization.
5 343 0.827473756215 Henry Cohn, 2026, needs more optimization.
5 344 0.828069580200 Henry Cohn, 2026, needs more optimization.
5 345 0.828320789348 Henry Cohn, 2026, needs more optimization.
5 346 0.828806042408 Henry Cohn, 2026, needs more optimization.
5 347 0.828858705809 Henry Cohn, 2026, needs more optimization.
5 348 0.829152251484 Henry Cohn, 2026, needs more optimization.
5 349 0.829298779529 Henry Cohn, 2026, needs more optimization.
5 350 0.829483531996 Henry Cohn, 2026, needs more optimization.
5 351 0.829588598516 Henry Cohn, 2026, needs more optimization.
5 352 0.830094956248 Henry Cohn, 2026, needs more optimization.
5 353 0.830244092640 Henry Cohn, 2026, needs more optimization.
5 354 0.830491534794 Henry Cohn, 2026, needs more optimization.
5 355 0.830856909750 Henry Cohn, 2026, needs more optimization.
5 356 0.831106311688 Henry Cohn, 2026, needs more optimization.
5 357 0.831442362805 Henry Cohn, 2026, needs more optimization.
5 358 0.831858948021 Henry Cohn, 2026, needs more optimization.
5 359 0.831981823403 Henry Cohn, 2026, needs more optimization.
5 360 0.832257152239 Henry Cohn, 2026, needs more optimization.
5 361 0.834130972688 Henry Cohn, 2026, needs more optimization.
5 362 0.834212740877 Henry Cohn, 2026, needs more optimization.
5 363 0.834584081453 Henry Cohn, 2026, needs more optimization.
5 364 0.834669945655 Henry Cohn, 2026, needs more optimization.
5 365 0.834922795884 Henry Cohn, 2026, needs more optimization.
5 366 0.835123582362 Henry Cohn, 2026, needs more optimization.
5 367 0.835359384128 Henry Cohn, 2026, needs more optimization.
5 368 0.835668552169 Henry Cohn, 2026, needs more optimization.
5 369 0.835718487298 Henry Cohn, 2026, needs more optimization.
5 370 0.836062326714 Henry Cohn, 2026, needs more optimization.
5 371 0.836247461273 Henry Cohn, 2026, needs more optimization.
5 372 0.836547645652 Henry Cohn, 2026, needs more optimization.
5 373 0.836617262589 Henry Cohn, 2026, needs more optimization.
5 374 0.836788892570 Henry Cohn, 2026, needs more optimization.
5 375 0.837044730282 Henry Cohn, 2026, needs more optimization.
5 376 0.837263421877 Henry Cohn, 2026, needs more optimization.
5 377 0.837541355858 Henry Cohn, 2026, needs more optimization.
5 378 0.837905189321 Henry Cohn, 2026, needs more optimization.
5 379 0.837962704953 Henry Cohn, 2026, needs more optimization.
5 380 0.838228722326 Henry Cohn, 2026, needs more optimization.
5 381 0.838344836542 Henry Cohn, 2026, needs more optimization.
5 382 0.838645938140 Henry Cohn, 2026, needs more optimization.
5 383 0.838822076117 Henry Cohn, 2026, needs more optimization.
5 384 0.839222007697 Henry Cohn, 2026, needs more optimization.
5 385 0.839334467378 Henry Cohn, 2026, needs more optimization.
5 386 0.839509838609 Henry Cohn, 2026, needs more optimization.
5 387 0.839746242665 Henry Cohn, 2026, needs more optimization.
5 388 0.839884881532 Henry Cohn, 2026, needs more optimization.
5 389 0.840102129445 Henry Cohn, 2026, needs more optimization.
5 390 0.840428515227 Henry Cohn, 2026, needs more optimization.
5 391 0.840657496921 Henry Cohn, 2026, needs more optimization.
5 392 0.840782309378 Henry Cohn, 2026, needs more optimization.
5 393 0.841202635030 Henry Cohn, 2026, needs more optimization.
5 394 0.841351485387 Henry Cohn, 2026, needs more optimization.
5 395 0.841430797876 Henry Cohn, 2026, needs more optimization.
5 396 0.841691830199 Henry Cohn, 2026, needs more optimization.
5 397 0.841814865080 Henry Cohn, 2026, needs more optimization.
5 398 0.841989831855 Henry Cohn, 2026, needs more optimization.
5 399 0.842174645241 Henry Cohn, 2026, needs more optimization.
5 400 0.842493631043 Henry Cohn, 2026, needs more optimization.
5 401 0.842723834697 Henry Cohn, 2026, needs more optimization.
5 402 0.843026204556 Henry Cohn, 2026, needs more optimization.
5 403 0.843087965696 Henry Cohn, 2026, needs more optimization.
5 404 0.843114873280 Henry Cohn, 2026, needs more optimization.
5 405 0.843322684837 Henry Cohn, 2026, needs more optimization.
5 406 0.843604789439 Henry Cohn, 2026, needs more optimization.
5 407 0.843762169745 Henry Cohn, 2026, needs more optimization.
5 408 0.843898673612 Henry Cohn, 2026, needs more optimization.
5 409 0.843944836381 Henry Cohn, 2026, needs more optimization.
5 410 0.844108909235 Henry Cohn, 2026, needs more optimization.
5 411 0.844385517027 Henry Cohn, 2026, needs more optimization.
5 412 0.844530089363 Henry Cohn, 2026, needs more optimization.
5 413 0.844818026716 Henry Cohn, 2026, needs more optimization.
5 414 0.844821652215 Henry Cohn, 2026, needs more optimization.
5 415 0.845183632417 Henry Cohn, 2026, needs more optimization.
5 416 0.845415489404 Henry Cohn, 2026, needs more optimization.
5 417 0.845504703101 Henry Cohn, 2026, needs more optimization.
5 418 0.845716975288 Henry Cohn, 2026, needs more optimization.
5 419 0.845791074422 Henry Cohn, 2026, needs more optimization.
5 420 0.845955472171 Henry Cohn, 2026, needs more optimization.
5 421 0.846096751786 Henry Cohn, 2026, needs more optimization.
5 422 0.846420559275 Henry Cohn, 2026, needs more optimization.
5 423 0.846469769109 Henry Cohn, 2026, needs more optimization.
5 424 0.846757863398 Henry Cohn, 2026, needs more optimization.
5 425 0.846979586965 Henry Cohn, 2026, needs more optimization.
5 426 0.847134456564 Henry Cohn, 2026, needs more optimization.
5 427 0.847334224652 Henry Cohn, 2026, needs more optimization.
5 428 0.847528724596 Henry Cohn, 2026, needs more optimization.
5 429 0.847673553901 Henry Cohn, 2026, needs more optimization.
5 430 0.847929273448 Henry Cohn, 2026, needs more optimization.
5 431 0.848159830830 Henry Cohn, 2026, needs more optimization.
5 432 0.848273092333 Henry Cohn, 2026, needs more optimization.
5 433 0.848466411573 Henry Cohn, 2026, needs more optimization.
5 434 0.848706176821 Henry Cohn, 2026, needs more optimization.
5 435 0.848870390616 Henry Cohn, 2026, needs more optimization.
5 436 0.848994651718 Henry Cohn, 2026, needs more optimization.
5 437 0.849134436494 Henry Cohn, 2026, needs more optimization.
5 438 0.849417736019 Henry Cohn, 2026, needs more optimization.
5 439 0.849637311033 Henry Cohn, 2026, needs more optimization.
5 440 0.849702687706 Henry Cohn, 2026, needs more optimization.
5 441 0.849894615221 Henry Cohn, 2026, needs more optimization.
5 442 0.849987870107 Henry Cohn, 2026, needs more optimization.
5 443 0.850144775168 Henry Cohn, 2026, needs more optimization.
5 444 0.850499458428 Henry Cohn, 2026, needs more optimization.
5 445 0.850634656460 Henry Cohn, 2026, needs more optimization.
5 446 0.850844108442 Henry Cohn, 2026, needs more optimization.
5 447 0.850997895489 Henry Cohn, 2026, needs more optimization.
5 448 0.851073298353 Henry Cohn, 2026, needs more optimization.
5 449 0.851137348146 Henry Cohn, 2026, needs more optimization.
5 450 0.851509276683 Henry Cohn, 2026, needs more optimization.
5 451 0.851710580808 Henry Cohn, 2026, needs more optimization.
5 452 0.851798361295 Henry Cohn, 2026, needs more optimization.
5 453 0.851810513854 Henry Cohn, 2026, needs more optimization.
5 454 0.852031376586 Henry Cohn, 2026, needs more optimization.
5 455 0.852310552424 Henry Cohn, 2026, needs more optimization.
5 456 0.852376904396 Henry Cohn, 2026, needs more optimization.
5 457 0.852583334811 Henry Cohn, 2026, needs more optimization.
5 458 0.852748912244 Henry Cohn, 2026, needs more optimization.
5 459 0.852815084847 Henry Cohn, 2026, needs more optimization.
5 460 0.853047163596 Henry Cohn, 2026, needs more optimization.
5 461 0.853251639194 Henry Cohn, 2026, needs more optimization.
5 462 0.853453526492 Henry Cohn, 2026, needs more optimization.
5 463 0.853567827570 Henry Cohn, 2026, needs more optimization.
5 464 0.853634118017 Henry Cohn, 2026, needs more optimization.
5 465 0.853855919961 Henry Cohn, 2026, needs more optimization.
5 466 0.854013305801 Henry Cohn, 2026, needs more optimization.
5 467 0.854075861895 Henry Cohn, 2026, needs more optimization.
5 468 0.854360029264 Henry Cohn, 2026, needs more optimization.
5 469 0.854475293600 Henry Cohn, 2026, needs more optimization.
5 470 0.854640056273 Henry Cohn, 2026, needs more optimization.
5 471 0.854695494072 Henry Cohn, 2026, needs more optimization.
5 472 0.854820575834 Henry Cohn, 2026, needs more optimization.
5 473 0.854971540252 Henry Cohn, 2026, needs more optimization.
5 474 0.855267405361 Henry Cohn, 2026, needs more optimization.
5 475 0.855293870808 Henry Cohn, 2026, needs more optimization.
5 476 0.855452746309 Henry Cohn, 2026, needs more optimization.
5 477 0.855637209622 Henry Cohn, 2026, needs more optimization.
5 478 0.855800002374 Henry Cohn, 2026, needs more optimization.
5 479 0.855926116823 Henry Cohn, 2026, needs more optimization.
5 480 0.856092277233 Henry Cohn, 2026, needs more optimization.
5 481 0.856278223762 Henry Cohn, 2026, needs more optimization.
5 482 0.856447216244 Henry Cohn, 2026, needs more optimization.
5 483 0.856664553602 Henry Cohn, 2026, needs more optimization.
5 484 0.856716901721 Henry Cohn, 2026, needs more optimization.
5 485 0.856723530894 Henry Cohn, 2026, needs more optimization.
5 486 0.856884907478 Henry Cohn, 2026, needs more optimization.
5 487 0.857089689243 Henry Cohn, 2026, needs more optimization.
5 488 0.857249293860 Henry Cohn, 2026, needs more optimization.
5 489 0.857362536826 Henry Cohn, 2026, needs more optimization.
5 490 0.857428787379 Henry Cohn, 2026, needs more optimization.
5 491 0.857604231039 Henry Cohn, 2026, needs more optimization.
5 492 0.857834174433 Henry Cohn, 2026, needs more optimization.
5 493 0.857881154412 Henry Cohn, 2026, needs more optimization.
5 494 0.857960957529 Henry Cohn, 2026, needs more optimization.
5 495 0.858159197139 Henry Cohn, 2026, needs more optimization.
5 496 0.858497616231 Henry Cohn, 2026, needs more optimization.
5 497 0.858638873946 Henry Cohn, 2026, needs more optimization.
5 498 0.858742278243 Henry Cohn, 2026, needs more optimization.
5 499 0.858853980648 Henry Cohn, 2026, needs more optimization.
5 500 0.859116395343 Henry Cohn, 2026, needs more optimization.
5 501 0.859271780801 Henry Cohn, 2026, needs more optimization.
5 502 0.859509572023 Henry Cohn, 2026, needs more optimization.
5 503 0.859513909492 Henry Cohn, 2026, needs more optimization.
5 504 0.859622757670 Henry Cohn, 2026, needs more optimization.
5 505 0.859743884412 Henry Cohn, 2026, needs more optimization.
5 506 0.859868300740 Henry Cohn, 2026, needs more optimization.
5 507 0.860048954486 Henry Cohn, 2026, needs more optimization.
5 508 0.860210541423 Henry Cohn, 2026, needs more optimization.
5 509 0.860292818658 Henry Cohn, 2026, needs more optimization.
5 510 0.860470122915 Henry Cohn, 2026, needs more optimization.
5 511 0.860638538289 Henry Cohn, 2026, needs more optimization.
5 512 0.860675237591 Henry Cohn, 2026, needs more optimization.
5 513 0.860738438370 Henry Cohn, 2026, needs more optimization.
5 514 0.860857023297 Henry Cohn, 2026, needs more optimization.
5 515 0.861000677460 Henry Cohn, 2026, needs more optimization.
5 516 0.861223771555 Henry Cohn, 2026, needs more optimization.
5 517 0.861328496552 Henry Cohn, 2026, needs more optimization.
5 518 0.861497050087 Henry Cohn, 2026, needs more optimization.
5 519 0.861611687936 Henry Cohn, 2026, needs more optimization.
5 520 0.861725064253 Henry Cohn, 2026, needs more optimization.
5 521 0.861740772430 Henry Cohn, 2026, needs more optimization.
5 522 0.861956625860 Henry Cohn, 2026, needs more optimization.
5 523 0.862194534017 Henry Cohn, 2026, needs more optimization.
5 524 0.862352955781 Henry Cohn, 2026, needs more optimization.
5 525 0.862462992000 Henry Cohn, 2026, needs more optimization.
5 526 0.862650356329 Henry Cohn, 2026, needs more optimization.
5 527 0.862659866340 Henry Cohn, 2026, needs more optimization.
5 528 0.862818803212 Henry Cohn, 2026, needs more optimization.
5 529 0.862970672415 Henry Cohn, 2026, needs more optimization.
5 530 0.863034238834 Henry Cohn, 2026, needs more optimization.
5 531 0.863197322300 Henry Cohn, 2026, needs more optimization.
5 532 0.863296125939 Henry Cohn, 2026, needs more optimization.
5 533 0.863513156707 Henry Cohn, 2026, needs more optimization.
5 534 0.863654315557 Henry Cohn, 2026, needs more optimization.
5 535 0.863753375179 Henry Cohn, 2026, needs more optimization.
5 536 0.863916258407 Henry Cohn, 2026, needs more optimization.
5 537 0.863995576948 Henry Cohn, 2026, needs more optimization.
5 538 0.864135597462 Henry Cohn, 2026, needs more optimization.
5 539 0.864269379369 Henry Cohn, 2026, needs more optimization.
5 540 0.864343959244 Henry Cohn, 2026, needs more optimization.
5 541 0.864608955690 Henry Cohn, 2026, needs more optimization.
5 542 0.864722162191 Henry Cohn, 2026, needs more optimization.
5 543 0.864792650838 Henry Cohn, 2026, needs more optimization.
5 544 0.864938553217 Henry Cohn, 2026, needs more optimization.
5 545 0.865015341661 Henry Cohn, 2026, needs more optimization.
5 546 0.865112327778 Henry Cohn, 2026, needs more optimization.
5 547 0.865277758218 Henry Cohn, 2026, needs more optimization.
5 548 0.865415086274 Henry Cohn, 2026, needs more optimization.
5 549 0.865493938474 Henry Cohn, 2026, needs more optimization.
5 550 0.865544369509 Henry Cohn, 2026, needs more optimization.
5 551 0.865759160631 Henry Cohn, 2026, needs more optimization.
5 552 0.865805117228 Henry Cohn, 2026, needs more optimization.
5 553 0.865976248836 Henry Cohn, 2026, needs more optimization.
5 554 0.866167744458 Henry Cohn, 2026, needs more optimization.
5 555 0.866201377779 Henry Cohn, 2026, needs more optimization.
5 556 0.866234467366 Henry Cohn, 2026, needs more optimization.
5 557 0.866442658939 Henry Cohn, 2026, needs more optimization.
5 558 0.866542099290 Henry Cohn, 2026, needs more optimization.
5 559 0.866797907125 Henry Cohn, 2026, needs more optimization.
5 560 0.867011147162 Henry Cohn, 2026, needs more optimization.
5 561 0.867093880048 Henry Cohn, 2026, needs more optimization.
5 562 0.867288488719 Henry Cohn, 2026, needs more optimization.
5 563 0.867390658484 Henry Cohn, 2026, needs more optimization.
5 564 0.867443922388 Henry Cohn, 2026, needs more optimization.
5 565 0.867444580097 Henry Cohn, 2026, needs more optimization.
5 566 0.867568857786 Henry Cohn, 2026, needs more optimization.
5 567 0.867773682503 Henry Cohn, 2026, needs more optimization.
5 568 0.867870563823 Henry Cohn, 2026, needs more optimization.
5 569 0.867959192416 Henry Cohn, 2026, needs more optimization.
5 570 0.868117256299 Henry Cohn, 2026, needs more optimization.
5 571 0.868297539724 Henry Cohn, 2026, needs more optimization.
5 572 0.868372030109 Henry Cohn, 2026, needs more optimization.
5 573 0.868453886469 Henry Cohn, 2026, needs more optimization.
5 574 0.868668241149 Henry Cohn, 2026, needs more optimization.
5 575 0.868673048346 Henry Cohn, 2026, needs more optimization.
5 576 0.868803149905 Henry Cohn, 2026, needs more optimization.
5 577 0.868903251546 Henry Cohn, 2026, needs more optimization.
5 578 0.868965699725 Henry Cohn, 2026, needs more optimization.
5 579 0.869111954774 Henry Cohn, 2026, needs more optimization.
5 580 0.869304838262 Henry Cohn, 2026, needs more optimization.
5 581 0.869446016218 Henry Cohn, 2026, needs more optimization.
5 582 0.869505714192 Henry Cohn, 2026, needs more optimization.
5 583 0.869624120303 Henry Cohn, 2026, needs more optimization.
5 584 0.869695117254 Henry Cohn, 2026, needs more optimization.
5 585 0.869884051113 Henry Cohn, 2026, needs more optimization.
5 586 0.870013914242 Henry Cohn, 2026, needs more optimization.
5 587 0.870088066472 Henry Cohn, 2026, needs more optimization.
5 588 0.870091432417 Henry Cohn, 2026, needs more optimization.
5 589 0.870176528036 Henry Cohn, 2026, needs more optimization.
5 590 0.870345023964 Henry Cohn, 2026, needs more optimization.
5 591 0.870373636277 Henry Cohn, 2026, needs more optimization.
5 592 0.870422215347 Henry Cohn, 2026, needs more optimization.
5 593 0.870577114353 Henry Cohn, 2026, needs more optimization.
5 594 0.870727786039 Henry Cohn, 2026, needs more optimization.
5 595 0.870811766322 Henry Cohn, 2026, needs more optimization.
5 596 0.870901817497 Henry Cohn, 2026, needs more optimization.
5 597 0.871009581565 Henry Cohn, 2026, needs more optimization.
5 598 0.871207025763 Henry Cohn, 2026, needs more optimization.
5 599 0.871265514418 Henry Cohn, 2026, needs more optimization.
5 600 0.871358614629 Henry Cohn, 2026, needs more optimization.
5 601 0.871570277259 Henry Cohn, 2026, needs more optimization.
5 602 0.871572334990 Henry Cohn, 2026, needs more optimization.
5 603 0.871659279625 Henry Cohn, 2026, needs more optimization.
5 604 0.871750572752 Henry Cohn, 2026, needs more optimization.
5 605 0.871761553775 Henry Cohn, 2026, needs more optimization.
5 606 0.871842977175 Henry Cohn, 2026, needs more optimization.
5 607 0.871973770321 Henry Cohn, 2026, needs more optimization.
5 608 0.872052913447 Henry Cohn, 2026, needs more optimization.
5 609 0.872239953381 Henry Cohn, 2026, needs more optimization.
5 610 0.872327587225 Henry Cohn, 2026, needs more optimization.
5 611 0.872404757609 Henry Cohn, 2026, needs more optimization.
5 612 0.872540081332 Henry Cohn, 2026, needs more optimization.
5 613 0.872689061078 Henry Cohn, 2026, needs more optimization.
5 614 0.872796758477 Henry Cohn, 2026, needs more optimization.
5 615 0.872876199959 Henry Cohn, 2026, needs more optimization.
5 616 0.873040589506 Henry Cohn, 2026, needs more optimization.
5 617 0.873151438512 Henry Cohn, 2026, needs more optimization.
5 618 0.873299911823 Henry Cohn, 2026, needs more optimization.
5 619 0.873412840490 Henry Cohn, 2026, needs more optimization.
5 620 0.873493863486 Henry Cohn, 2026, needs more optimization.
5 621 0.873598569369 Henry Cohn, 2026, needs more optimization.
5 622 0.873689274911 Henry Cohn, 2026, needs more optimization.
5 623 0.873777608307 Henry Cohn, 2026, needs more optimization.
5 624 0.873925623281 Henry Cohn, 2026, needs more optimization.
5 625 0.874067319884 Henry Cohn, 2026, needs more optimization.
5 626 0.874131312995 Henry Cohn, 2026, needs more optimization.
5 627 0.874158646858 Henry Cohn, 2026, needs more optimization.
5 628 0.874259737891 Henry Cohn, 2026, needs more optimization.
5 629 0.874407421299 Henry Cohn, 2026, needs more optimization.
5 630 0.874563760196 Henry Cohn, 2026, needs more optimization.
5 631 0.874615176482 Henry Cohn, 2026, needs more optimization.
5 632 0.874758432155 Henry Cohn, 2026, needs more optimization.
5 633 0.874891996329 Henry Cohn, 2026, needs more optimization.
5 634 0.874983889718 Henry Cohn, 2026, needs more optimization.
5 635 0.875110206181 Henry Cohn, 2026, needs more optimization.
5 636 0.875215751217 Henry Cohn, 2026, needs more optimization.
5 637 0.875296204949 Henry Cohn, 2026, needs more optimization.
5 638 0.875322654856 Henry Cohn, 2026, needs more optimization.
5 639 0.875388512919 Henry Cohn, 2026, needs more optimization.
5 640 0.875572220280 Henry Cohn, 2026, needs more optimization.
5 641 0.875585226640 Henry Cohn, 2026, needs more optimization.
5 642 0.875649621470 Henry Cohn, 2026, needs more optimization.
5 643 0.875783164838 Henry Cohn, 2026, needs more optimization.
5 644 0.875888823500 Henry Cohn, 2026, needs more optimization.
5 645 0.876025417663 Henry Cohn, 2026, needs more optimization.
5 646 0.876100496750 Henry Cohn, 2026, needs more optimization.
5 647 0.876269796197 Henry Cohn, 2026, needs more optimization.
5 648 0.876312788255 Henry Cohn, 2026, needs more optimization.
5 649 0.876432640506 Henry Cohn, 2026, needs more optimization.
5 650 0.876494566375 Henry Cohn, 2026, needs more optimization.
5 651 0.876595118018 Henry Cohn, 2026, needs more optimization.
5 652 0.876640324104 Henry Cohn, 2026, needs more optimization.
5 653 0.876676995849 Henry Cohn, 2026, needs more optimization.
5 654 0.876777045993 Henry Cohn, 2026, needs more optimization.
5 655 0.876907964282 Henry Cohn, 2026, needs more optimization.
5 656 0.876992705454 Henry Cohn, 2026, needs more optimization.
5 657 0.877204308424 Henry Cohn, 2026, needs more optimization.
5 658 0.877260093679 Henry Cohn, 2026, needs more optimization.
5 659 0.877332725492 Henry Cohn, 2026, needs more optimization.
5 660 0.877435449781 Henry Cohn, 2026, needs more optimization.
5 661 0.877450020065 Henry Cohn, 2026, needs more optimization.
5 662 0.877546765029 Henry Cohn, 2026, needs more optimization.
5 663 0.877641079561 Henry Cohn, 2026, needs more optimization.
5 664 0.877776720163 Henry Cohn, 2026, needs more optimization.
5 665 0.877782224488 Henry Cohn, 2026, needs more optimization.
5 666 0.877865710232 Henry Cohn, 2026, needs more optimization.
5 667 0.877925164606 Henry Cohn, 2026, needs more optimization.
5 668 0.877995280817 Henry Cohn, 2026, needs more optimization.
5 669 0.878175800852 Henry Cohn, 2026, needs more optimization.
5 670 0.878187398374 Henry Cohn, 2026, needs more optimization.
5 671 0.878370257097 Henry Cohn, 2026, needs more optimization.
5 672 0.878444520093 Henry Cohn, 2026, needs more optimization.
5 673 0.878535481906 Henry Cohn, 2026, needs more optimization.
5 674 0.878649111499 Henry Cohn, 2026, needs more optimization.
5 675 0.878673915316 Henry Cohn, 2026, needs more optimization.
5 676 0.878773595072 Henry Cohn, 2026, needs more optimization.
5 677 0.878902789797 Henry Cohn, 2026, needs more optimization.
5 678 0.879039021099 Henry Cohn, 2026, needs more optimization.
5 679 0.879082128062 Henry Cohn, 2026, needs more optimization.
5 680 0.879123025537 Henry Cohn, 2026, needs more optimization.
5 681 0.879262127216 Henry Cohn, 2026, needs more optimization.
5 682 0.879353602947 Henry Cohn, 2026, needs more optimization.
5 683 0.879417308991 Henry Cohn, 2026, needs more optimization.
5 684 0.879532502415 Henry Cohn, 2026, needs more optimization.
5 685 0.879568610354 Henry Cohn, 2026, needs more optimization.
5 686 0.879611506362 Henry Cohn, 2026, needs more optimization.
5 687 0.879827155011 Henry Cohn, 2026, needs more optimization.
5 688 0.879924557701 Henry Cohn, 2026, needs more optimization.
5 689 0.880003656143 Henry Cohn, 2026, needs more optimization.
5 690 0.880054744766 Henry Cohn, 2026, needs more optimization.
5 691 0.880164787909 Henry Cohn, 2026, needs more optimization.
5 692 0.880262283993 Henry Cohn, 2026, needs more optimization.
5 693 0.880324846374 Henry Cohn, 2026, needs more optimization.
5 694 0.880419325427 Henry Cohn, 2026, needs more optimization.
5 695 0.880472374020 Henry Cohn, 2026, needs more optimization.
5 696 0.880548632820 Henry Cohn, 2026, needs more optimization.
5 697 0.880623762523 Henry Cohn, 2026, needs more optimization.
5 698 0.880701837944 Henry Cohn, 2026, needs more optimization.
5 699 0.880811260605 Henry Cohn, 2026, needs more optimization.
5 700 0.880834992938 Henry Cohn, 2026, needs more optimization.
5 701 0.880995037943 Henry Cohn, 2026, needs more optimization.
5 702 0.881070523400 Henry Cohn, 2026, needs more optimization.
5 703 0.881075378288 Henry Cohn, 2026, needs more optimization.
5 704 0.881200182569 Henry Cohn, 2026, needs more optimization.
5 705 0.881230522308 Henry Cohn, 2026, needs more optimization.
5 706 0.881337590040 Henry Cohn, 2026, needs more optimization.
5 707 0.881446422359 Henry Cohn, 2026, needs more optimization.
5 708 0.881599150134 Henry Cohn, 2026, needs more optimization.
5 709 0.881727147035 Henry Cohn, 2026, needs more optimization.
5 710 0.881731199029 Henry Cohn, 2026, needs more optimization.
5 711 0.881791345941 Henry Cohn, 2026, needs more optimization.
5 712 0.881860180613 Henry Cohn, 2026, needs more optimization.
5 713 0.881948664281 Henry Cohn, 2026, needs more optimization.
5 714 0.882028586646 Henry Cohn, 2026, needs more optimization.
5 715 0.882126548794 Henry Cohn, 2026, needs more optimization.
5 716 0.882204956167 Henry Cohn, 2026, needs more optimization.
5 717 0.882309569031 Henry Cohn, 2026, needs more optimization.
5 718 0.882426427068 Henry Cohn, 2026, needs more optimization.
5 719 0.882440199098 Henry Cohn, 2026, needs more optimization.
5 720 0.882560423427 Henry Cohn, 2026, needs more optimization.
5 721 0.882615428274 Henry Cohn, 2026, needs more optimization.
5 722 0.882718400061 Henry Cohn, 2026, needs more optimization.
5 723 0.882810407462 Henry Cohn, 2026, needs more optimization.
5 724 0.882894168975 Henry Cohn, 2026, needs more optimization.
5 725 0.882973572173 Henry Cohn, 2026, needs more optimization.
5 726 0.883102838350 Henry Cohn, 2026, needs more optimization.
5 727 0.883130558983 Henry Cohn, 2026, needs more optimization.
5 728 0.883248863549 Henry Cohn, 2026, needs more optimization.
5 729 0.883299398460 Henry Cohn, 2026, needs more optimization.
5 730 0.883345466852 Henry Cohn, 2026, needs more optimization.
5 731 0.883430149676 Henry Cohn, 2026, needs more optimization.
5 732 0.883521282902 Henry Cohn, 2026, needs more optimization.
5 733 0.883594196319 Henry Cohn, 2026, needs more optimization.
5 734 0.883683259100 Henry Cohn, 2026, needs more optimization.
5 735 0.883726961014 Henry Cohn, 2026, needs more optimization.
5 736 0.883803105986 Henry Cohn, 2026, needs more optimization.
5 737 0.883865812757 Henry Cohn, 2026, needs more optimization.
5 738 0.883970443183 Henry Cohn, 2026, needs more optimization.
5 739 0.884045523549 Henry Cohn, 2026, needs more optimization.
5 740 0.884128468730 Henry Cohn, 2026, needs more optimization.
5 741 0.884311903906 Henry Cohn, 2026, needs more optimization.
5 742 0.884397811607 Henry Cohn, 2026, needs more optimization.
5 743 0.884511539359 Henry Cohn, 2026, needs more optimization.
5 744 0.884614302490 Henry Cohn, 2026, needs more optimization.
5 745 0.884662529023 Henry Cohn, 2026, needs more optimization.
5 746 0.884752464297 Henry Cohn, 2026, needs more optimization.
5 747 0.884825092336 Henry Cohn, 2026, needs more optimization.
5 748 0.884956745738 Henry Cohn, 2026, needs more optimization.
5 749 0.884968390718 Henry Cohn, 2026, needs more optimization.
5 750 0.885022607472 Henry Cohn, 2026, needs more optimization.
5 751 0.885123611957 Henry Cohn, 2026, needs more optimization.
5 752 0.885184731205 Henry Cohn, 2026, needs more optimization.
5 753 0.885220634213 Henry Cohn, 2026, needs more optimization.
5 754 0.885314783181 Henry Cohn, 2026, needs more optimization.
5 755 0.885363076540 Henry Cohn, 2026, needs more optimization.
5 756 0.885407674833 Henry Cohn, 2026, needs more optimization.
5 757 0.885484146676 Henry Cohn, 2026, needs more optimization.
5 758 0.885580226680 Henry Cohn, 2026, needs more optimization.
5 759 0.885619762347 Henry Cohn, 2026, needs more optimization.
5 760 0.885675503795 Henry Cohn, 2026, needs more optimization.
5 761 0.885793352963 Henry Cohn, 2026, needs more optimization.
5 762 0.885853102527 Henry Cohn, 2026, needs more optimization.
5 763 0.885940315861 Henry Cohn, 2026, needs more optimization.
5 764 0.886056506627 Henry Cohn, 2026, needs more optimization.
5 765 0.886149632019 Henry Cohn, 2026, needs more optimization.
5 766 0.886225645694 Henry Cohn, 2026, needs more optimization.
5 767 0.886258433937 Henry Cohn, 2026, needs more optimization.
5 768 0.886277757289 Henry Cohn, 2026, needs more optimization.
5 769 0.886332511139 Henry Cohn, 2026, needs more optimization.
5 770 0.886399120051 Henry Cohn, 2026, needs more optimization.
5 771 0.886480102711 Henry Cohn, 2026, needs more optimization.
5 772 0.886553718470 Henry Cohn, 2026, needs more optimization.
5 773 0.886630579298 Henry Cohn, 2026, needs more optimization.
5 774 0.886729881292 Henry Cohn, 2026, needs more optimization.
5 775 0.886817976105 Henry Cohn, 2026, needs more optimization.
5 776 0.886929346361 Henry Cohn, 2026, needs more optimization.
5 777 0.886939912905 Henry Cohn, 2026, needs more optimization.
5 778 0.887040068729 Henry Cohn, 2026, needs more optimization.
5 779 0.887108541299 Henry Cohn, 2026, needs more optimization.
5 780 0.887257487775 Henry Cohn, 2026, needs more optimization.
5 781 0.887277295370 Henry Cohn, 2026, needs more optimization.
5 782 0.887280691234 Henry Cohn, 2026, needs more optimization.
5 783 0.887330930232 Henry Cohn, 2026, needs more optimization.
5 784 0.887400762267 Henry Cohn, 2026, needs more optimization.
5 785 0.887469994660 Henry Cohn, 2026, needs more optimization.
5 786 0.887525464378 Henry Cohn, 2026, needs more optimization.
5 787 0.887643465496 Henry Cohn, 2026, needs more optimization.
5 788 0.887721858514 Henry Cohn, 2026, needs more optimization.
5 789 0.887794475828 Henry Cohn, 2026, needs more optimization.
5 791 0.887899948035 Henry Cohn, 2026, needs more optimization.
5 792 0.887990618727 Henry Cohn, 2026, needs more optimization.
5 793 0.888050098992 Henry Cohn, 2026, needs more optimization.
5 794 0.888131290601 Henry Cohn, 2026, needs more optimization.
5 795 0.888174117516 Henry Cohn, 2026, needs more optimization.
5 796 0.888230682584 Henry Cohn, 2026, needs more optimization.
5 797 0.888307809120 Henry Cohn, 2026, needs more optimization.
5 798 0.888389588802 Henry Cohn, 2026, needs more optimization.
5 799 0.888472341456 Henry Cohn, 2026, needs more optimization.
5 800 0.888519342857 Henry Cohn, 2026, needs more optimization.
5 801 0.888551122496 Henry Cohn, 2026, needs more optimization.
5 802 0.888651755539 Henry Cohn, 2026, needs more optimization.
5 803 0.888779793530 Henry Cohn, 2026, needs more optimization.
5 804 0.888899981016 Henry Cohn, 2026, needs more optimization.
5 805 0.888914753452 Henry Cohn, 2026, needs more optimization.
5 806 0.888953032640 Henry Cohn, 2026, needs more optimization.
5 807 0.889003375387 Henry Cohn, 2026, needs more optimization.
5 808 0.889099147391 Henry Cohn, 2026, needs more optimization.
5 809 0.889222058189 Henry Cohn, 2026, needs more optimization.
5 810 0.889330771053 Henry Cohn, 2026, needs more optimization.
5 811 0.889371719904 Henry Cohn, 2026, needs more optimization.
5 812 0.889457721817 Henry Cohn, 2026, needs more optimization.
5 813 0.889529204719 Henry Cohn, 2026, needs more optimization.
5 814 0.889658484554 Henry Cohn, 2026, needs more optimization.
5 816 0.889696137400 Henry Cohn, 2026, needs more optimization.
5 817 0.889712972055 Henry Cohn, 2026, needs more optimization.
5 818 0.889820371908 Henry Cohn, 2026, needs more optimization.
5 819 0.889856972690 Henry Cohn, 2026, needs more optimization.
5 820 0.889880897372 Henry Cohn, 2026, needs more optimization.
5 821 0.889982586280 Henry Cohn, 2026, needs more optimization.
5 822 0.890018754365 Henry Cohn, 2026, needs more optimization.
5 823 0.890105367008 Henry Cohn, 2026, needs more optimization.
5 824 0.890249534631 Henry Cohn, 2026, needs more optimization.
5 825 0.890347260230 Henry Cohn, 2026, needs more optimization.
5 826 0.890413375130 Henry Cohn, 2026, needs more optimization.
5 827 0.890420997055 Henry Cohn, 2026, needs more optimization.
5 828 0.890540985946 Henry Cohn, 2026, needs more optimization.
5 829 0.890544779141 Henry Cohn, 2026, needs more optimization.
5 830 0.890627323747 Henry Cohn, 2026, needs more optimization.
5 831 0.890714825468 Henry Cohn, 2026, needs more optimization.
5 833 0.890724490597 Henry Cohn, 2026, needs more optimization.
5 834 0.890781024182 Henry Cohn, 2026, needs more optimization.
5 835 0.890868852104 Henry Cohn, 2026, needs more optimization.
5 836 0.891003798511 Henry Cohn, 2026, needs more optimization.
5 837 0.891083098657 Henry Cohn, 2026, needs more optimization.
5 838 0.891160135205 Henry Cohn, 2026, needs more optimization.
5 839 0.891222040083 Henry Cohn, 2026, needs more optimization.
5 840 0.891292976883 Henry Cohn, 2026, needs more optimization.
5 841 0.891366578080 Henry Cohn, 2026, needs more optimization.
5 842 0.891414994653 Henry Cohn, 2026, needs more optimization.
5 843 0.891498335678 Henry Cohn, 2026, needs more optimization.
5 844 0.891525001783 Henry Cohn, 2026, needs more optimization.
5 845 0.891547163037 Henry Cohn, 2026, needs more optimization.
5 846 0.891655676305 Henry Cohn, 2026, needs more optimization.
5 847 0.891722179426 Henry Cohn, 2026, needs more optimization.
5 848 0.891805273134 Henry Cohn, 2026, needs more optimization.
5 849 0.891862301401 Henry Cohn, 2026, needs more optimization.
5 850 0.891899095953 Henry Cohn, 2026, needs more optimization.
5 851 0.891948461300 Henry Cohn, 2026, needs more optimization.
5 852 0.892048416858 Henry Cohn, 2026, needs more optimization.
5 853 0.892103063470 Henry Cohn, 2026, needs more optimization.
5 854 0.892150660257 Henry Cohn, 2026, needs more optimization.
5 855 0.892173137958 Henry Cohn, 2026, needs more optimization.
5 857 0.892355694692 Henry Cohn, 2026, needs more optimization.
5 858 0.892396379250 Henry Cohn, 2026, needs more optimization.
5 859 0.892504270809 Henry Cohn, 2026, needs more optimization.
5 860 0.892575258409 Henry Cohn, 2026, needs more optimization.
5 861 0.892592944825 Henry Cohn, 2026, needs more optimization.
5 862 0.892626572812 Henry Cohn, 2026, needs more optimization.
5 863 0.892693868433 Henry Cohn, 2026, needs more optimization.
5 864 0.892755915113 Henry Cohn, 2026, needs more optimization.
5 865 0.892871513268 Henry Cohn, 2026, needs more optimization.
5 866 0.892881052042 Henry Cohn, 2026, needs more optimization.
5 867 0.892995519782 Henry Cohn, 2026, needs more optimization.
5 869 0.893082365064 Henry Cohn, 2026, needs more optimization.
5 870 0.893171947475 Henry Cohn, 2026, needs more optimization.
5 871 0.893250496182 Henry Cohn, 2026, needs more optimization.
5 872 0.893302720215 Henry Cohn, 2026, needs more optimization.
5 873 0.893319841549 Henry Cohn, 2026, needs more optimization.
5 874 0.893378671142 Henry Cohn, 2026, needs more optimization.
5 875 0.893474022816 Henry Cohn, 2026, needs more optimization.
5 876 0.893523551481 Henry Cohn, 2026, needs more optimization.
5 877 0.893614152638 Henry Cohn, 2026, needs more optimization.
5 878 0.893663267914 Henry Cohn, 2026, needs more optimization.
5 879 0.893724398203 Henry Cohn, 2026, needs more optimization.
5 880 0.893798701483 Henry Cohn, 2026, needs more optimization.
5 881 0.893800003911 Henry Cohn, 2026, needs more optimization.
5 882 0.893817251340 Henry Cohn, 2026, needs more optimization.
5 883 0.893947325897 Henry Cohn, 2026, needs more optimization.
5 884 0.894003068376 Henry Cohn, 2026, needs more optimization.
5 885 0.894071446795 Henry Cohn, 2026, needs more optimization.
5 886 0.894124902226 Henry Cohn, 2026, needs more optimization.
5 887 0.894212114379 Henry Cohn, 2026, needs more optimization.
5 888 0.894287959487 Henry Cohn, 2026, needs more optimization.
5 889 0.894300883354 Henry Cohn, 2026, needs more optimization.
5 890 0.894406928515 Henry Cohn, 2026, needs more optimization.
5 891 0.894469619928 Henry Cohn, 2026, needs more optimization.
5 892 0.894526859962 Henry Cohn, 2026, needs more optimization.
5 893 0.894577804893 Henry Cohn, 2026, needs more optimization.
5 895 0.894641974474 Henry Cohn, 2026, needs more optimization.
5 897 0.894731012292 Henry Cohn, 2026, needs more optimization.
5 898 0.894815724723 Henry Cohn, 2026, needs more optimization.
5 899 0.894874295067 Henry Cohn, 2026, needs more optimization.
5 900 0.894894432831 Henry Cohn, 2026, needs more optimization.
5 901 0.894968090282 Henry Cohn, 2026, needs more optimization.
5 902 0.895046242508 Henry Cohn, 2026, needs more optimization.
5 903 0.895144648643 Henry Cohn, 2026, needs more optimization.
5 904 0.895210703448 Henry Cohn, 2026, needs more optimization.
5 905 0.895274485220 Henry Cohn, 2026, needs more optimization.
5 907 0.895388689782 Henry Cohn, 2026, needs more optimization.
5 908 0.895471553944 Henry Cohn, 2026, needs more optimization.
5 909 0.895497645779 Henry Cohn, 2026, needs more optimization.
5 910 0.895555897203 Henry Cohn, 2026, needs more optimization.
5 911 0.895662786112 Henry Cohn, 2026, needs more optimization.
5 912 0.895698761198 Henry Cohn, 2026, needs more optimization.
5 913 0.895774770545 Henry Cohn, 2026, needs more optimization.
5 914 0.895818850913 Henry Cohn, 2026, needs more optimization.
5 915 0.895838044216 Henry Cohn, 2026, needs more optimization.
5 916 0.895929039961 Henry Cohn, 2026, needs more optimization.
5 917 0.895960769085 Henry Cohn, 2026, needs more optimization.
5 919 0.896057580636 Henry Cohn, 2026, needs more optimization.
5 920 0.896157662794 Henry Cohn, 2026, needs more optimization.
5 921 0.896173309250 Henry Cohn, 2026, needs more optimization.
5 922 0.896267479157 Henry Cohn, 2026, needs more optimization.
5 923 0.896290118638 Henry Cohn, 2026, needs more optimization.
5 924 0.896376892339 Henry Cohn, 2026, needs more optimization.
5 925 0.896394811782 Henry Cohn, 2026, needs more optimization.
5 926 0.896459760349 Henry Cohn, 2026, needs more optimization.
5 927 0.896479571504 Henry Cohn, 2026, needs more optimization.
5 928 0.896560360794 Henry Cohn, 2026, needs more optimization.
5 929 0.896623448562 Henry Cohn, 2026, needs more optimization.
5 930 0.896696347120 Henry Cohn, 2026, needs more optimization.
5 931 0.896765325091 Henry Cohn, 2026, needs more optimization.
5 932 0.896825872139 Henry Cohn, 2026, needs more optimization.
5 933 0.896865684617 Henry Cohn, 2026, needs more optimization.
5 934 0.896924553651 Henry Cohn, 2026, needs more optimization.
5 935 0.896992636330 Henry Cohn, 2026, needs more optimization.
5 936 0.897005387645 Henry Cohn, 2026, needs more optimization.
5 937 0.897074655466 Henry Cohn, 2026, needs more optimization.
5 938 0.897154847824 Henry Cohn, 2026, needs more optimization.
5 939 0.897170379434 Henry Cohn, 2026, needs more optimization.
5 940 0.897211687971 Henry Cohn, 2026, needs more optimization.
5 941 0.897252539940 Henry Cohn, 2026, needs more optimization.
5 942 0.897325759334 Henry Cohn, 2026, needs more optimization.
5 943 0.897427734224 Henry Cohn, 2026, needs more optimization.
5 944 0.897503684174 Henry Cohn, 2026, needs more optimization.
5 945 0.897524619486 Henry Cohn, 2026, needs more optimization.
5 946 0.897574992308 Henry Cohn, 2026, needs more optimization.
5 947 0.897648464578 Henry Cohn, 2026, needs more optimization.
5 948 0.897721960458 Henry Cohn, 2026, needs more optimization.
5 949 0.897798543566 Henry Cohn, 2026, needs more optimization.
5 950 0.897850012933 Henry Cohn, 2026, needs more optimization.
5 951 0.897902726946 Henry Cohn, 2026, needs more optimization.
5 952 0.897951223815 Henry Cohn, 2026, needs more optimization.
5 953 0.897976649292 Henry Cohn, 2026, needs more optimization.
5 954 0.897996640674 Henry Cohn, 2026, needs more optimization.
5 955 0.897996891929 Henry Cohn, 2026, needs more optimization.
5 956 0.898015926896 Henry Cohn, 2026, needs more optimization.
5 957 0.898093470250 Henry Cohn, 2026, needs more optimization.
5 958 0.898200284122 Henry Cohn, 2026, needs more optimization.
5 959 0.898243508035 Henry Cohn, 2026, needs more optimization.
5 960 0.898261143726 Henry Cohn, 2026, needs more optimization.
5 961 0.898352458667 Henry Cohn, 2026, needs more optimization.
5 962 0.898395207078 Henry Cohn, 2026, needs more optimization.
5 963 0.898410557948 Henry Cohn, 2026, needs more optimization.
5 964 0.898493859423 Henry Cohn, 2026, needs more optimization.
5 965 0.898528838959 Henry Cohn, 2026, needs more optimization.
5 966 0.898573759698 Henry Cohn, 2026, needs more optimization.
5 967 0.898584840347 Henry Cohn, 2026, needs more optimization.
5 968 0.898726002705 Henry Cohn, 2026, needs more optimization.
5 969 0.898809749216 Henry Cohn, 2026, needs more optimization.
5 970 0.898832164441 Henry Cohn, 2026, needs more optimization.
5 971 0.898877122922 Henry Cohn, 2026, needs more optimization.
5 972 0.898897357414 Henry Cohn, 2026, needs more optimization.
5 973 0.898935209374 Henry Cohn, 2026, needs more optimization.
5 974 0.899018140731 Henry Cohn, 2026, needs more optimization.
5 975 0.899095295722 Henry Cohn, 2026, needs more optimization.
5 976 0.899123910802 Henry Cohn, 2026, needs more optimization.
5 977 0.899144508661 Henry Cohn, 2026, needs more optimization.
5 979 0.899225964918 Henry Cohn, 2026, needs more optimization.
5 980 0.899329772889 Henry Cohn, 2026, needs more optimization.
5 981 0.899367230719 Henry Cohn, 2026, needs more optimization.
5 982 0.899424290522 Henry Cohn, 2026, needs more optimization.
5 984 0.899497122056 Henry Cohn, 2026, needs more optimization.
5 985 0.899619052976 Henry Cohn, 2026, needs more optimization.
5 986 0.899698566873 Henry Cohn, 2026, needs more optimization.
5 987 0.899713260583 Henry Cohn, 2026, needs more optimization.
5 988 0.899770884850 Henry Cohn, 2026, needs more optimization.
5 989 0.899859637885 Henry Cohn, 2026, needs more optimization.
5 990 0.899872024623 Henry Cohn, 2026, needs more optimization.
5 991 0.899896683690 Henry Cohn, 2026, needs more optimization.
5 992 0.899927538294 Henry Cohn, 2026, needs more optimization.
5 993 0.899993684559 Henry Cohn, 2026, needs more optimization.
5 994 0.900052171409 Henry Cohn, 2026, needs more optimization.
5 995 0.900105800631 Henry Cohn, 2026, needs more optimization.
5 996 0.900206772964 Henry Cohn, 2026, needs more optimization.
5 997 0.900242744244 Henry Cohn, 2026, needs more optimization.
5 998 0.900319464800 Henry Cohn, 2026, needs more optimization.
5 999 0.900402130825 Henry Cohn, 2026, needs more optimization.
5 1000 0.900402976094 Henry Cohn, 2026, needs more optimization.
5 1001 0.900457623560 Henry Cohn, 2026, needs more optimization.
5 1002 0.900503888795 Henry Cohn, 2026, needs more optimization.
5 1003 0.900552004610 Henry Cohn, 2026, needs more optimization.
5 1004 0.900560562969 Henry Cohn, 2026, needs more optimization.
5 1005 0.900625102179 Henry Cohn, 2026, needs more optimization.
5 1006 0.900697643069 Henry Cohn, 2026, needs more optimization.
5 1007 0.900757727704 Henry Cohn, 2026, needs more optimization.
5 1008 0.900834851784 Henry Cohn, 2026, needs more optimization.
5 1009 0.900850987952 Henry Cohn, 2026, needs more optimization.
5 1010 0.900912382418 Henry Cohn, 2026, needs more optimization.
5 1011 0.900959532628 Henry Cohn, 2026, needs more optimization.
5 1012 0.900968544972 Henry Cohn, 2026, needs more optimization.
5 1013 0.901011596821 Henry Cohn, 2026, needs more optimization.
5 1014 0.901097231165 Henry Cohn, 2026, needs more optimization.
5 1015 0.901107659218 Henry Cohn, 2026, needs more optimization.
5 1016 0.901112287223 Henry Cohn, 2026, needs more optimization.
5 1017 0.901153659563 Henry Cohn, 2026, needs more optimization.
5 1018 0.901207305778 Henry Cohn, 2026, needs more optimization.
5 1019 0.901295050732 Henry Cohn, 2026, needs more optimization.
5 1020 0.901305583137 Henry Cohn, 2026, needs more optimization.
5 1021 0.901389742221 Henry Cohn, 2026, needs more optimization.
5 1022 0.901439003207 Henry Cohn, 2026, needs more optimization.
5 1023 0.901499280769 Henry Cohn, 2026, needs more optimization.
5 1024 0.901590846612 Henry Cohn, 2026, needs more optimization.
6 13 0.113079752148 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.
96⁢x3−36⁢x2−6⁢x+1
6 14 0.132490920324 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
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
6 32 0.333333333334 J. H. van Lint and J. J. Seidel, Equilateral point sets in elliptic geometry, Indag. Math. 28 (1966), 335–348, https://research.tue.nl/en/publications/equilateral-point-sets-in-elliptic-geometry.
3⁢x−1
6 33 0.344948974279 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 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 0.435705030667 Henry Cohn, 2025.
6 47 0.441035538571 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, 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 0.486085706237 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, 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 0.495376595904 Henry Cohn, 2023.
6 63 0.498122491823 Henry Cohn, 2023.
6 64 0.498522963739 Henry Cohn, 2025.
6 65 0.499974913357 Henry Cohn, 2025.
6 66 0.499976896430 Henry Cohn, 2026.
6 67 0.499991659867 Henry Cohn, 2026.
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 0.524373608780 Henry Cohn, 2026.
6 76 0.524900603806 Henry Cohn, 2026.
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 0.543286550497 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, 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 84 0.546018230582 Henry Cohn, 2025.
6 85 0.546038397748 Henry Cohn, 2026.
6 86 0.548918184883 Henry Cohn, 2026, needs more optimization.
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 0.557506870643 Henry Cohn, 2026, needs more optimization.
6 91 0.557588802583 Henry Cohn, 2026.
6 92 0.560971622256 Henry Cohn, 2025.
6 93 0.563013323310 Henry Cohn, 2023.
6 94 0.565350375903 Henry Cohn, 2024.
6 95 0.565789396150 Henry Cohn, 2023.
6 96 0.565950871118 Henry Cohn, 2023.
6 97 0.568133461901 Henry Cohn, 2025.
6 98 0.571052839653 Henry Cohn, 2026, needs more optimization.
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 0.581239830251 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, 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 0.582504372850 Henry Cohn, 2026, needs more optimization.
6 105 0.583291430190 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, 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 0.583371498649 Henry Cohn, 2026.
6 107 0.583372432432 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 0.596439214295 Henry Cohn, 2025.
6 117 0.596439359703 Henry Cohn, 2025, needs more optimization.
6 118 0.596439417437 Henry Cohn, 2026.
6 119 0.598424125415 Henry Cohn, 2025.
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 0.607974063056 Henry Cohn, 2025, needs more optimization.
6 125 0.607974063065 Henry Cohn, 2024, needs more optimization.
6 126 0.610385711272 Henry Cohn, 2026.
6 127 0.616412773395 Henry Cohn, 2026.
6 128 0.618886710990 Henry Cohn, 2026.
6 129 0.620224367829 Henry Cohn, 2025.
6 130 0.623410242886 Henry Cohn, 2026, needs more optimization.
6 132 0.624698587770 Henry Cohn, 2026, needs more optimization.
6 133 0.626200566070 Henry Cohn, 2026, needs more optimization.
6 134 0.628625329217 Henry Cohn, 2026, needs more optimization.
6 135 0.630530656158 Henry Cohn, 2026, needs more optimization.
6 136 0.631774376880 Henry Cohn, 2026, needs more optimization.
6 137 0.633402294823 Henry Cohn, 2025.
6 138 0.634581525899 Henry Cohn, 2026, needs more optimization.
6 139 0.636157497156 Henry Cohn, 2026, needs more optimization.
6 140 0.637374263264 Henry Cohn, 2026, needs more optimization.
6 141 0.639554893642 Henry Cohn, 2026, needs more optimization.
6 142 0.639907721551 Henry Cohn, 2026, needs more optimization.
6 143 0.641418520213 Henry Cohn, 2026, needs more optimization.
6 144 0.642197636629 Henry Cohn, 2026, needs more optimization.
6 145 0.643736802951 Henry Cohn, 2026, needs more optimization.
6 146 0.644836620109 Henry Cohn, 2026, needs more optimization.
6 147 0.645786741328 Henry Cohn, 2026, needs more optimization.
6 148 0.646694819758 Henry Cohn, 2026, needs more optimization.
6 149 0.648305403697 Henry Cohn, 2026, needs more optimization.
6 150 0.649234363496 Henry Cohn, 2026, needs more optimization.
6 151 0.649894104895 Henry Cohn, 2026, needs more optimization.
6 152 0.651373135987 Henry Cohn, 2026, needs more optimization.
6 153 0.651424838401 Henry Cohn, 2026, needs more optimization.
6 154 0.651930135793 Henry Cohn, 2026, needs more optimization.
6 155 0.652677694649 Henry Cohn, 2026, needs more optimization.
6 156 0.653218926161 Henry Cohn, 2026, needs more optimization.
6 157 0.653907706104 Henry Cohn, 2026, needs more optimization.
6 158 0.654174169895 Henry Cohn, 2026, needs more optimization.
6 159 0.654917498173 Henry Cohn, 2026, needs more optimization.
6 160 0.655640276044 Henry Cohn, 2026, needs more optimization.
6 161 0.656173922315 Henry Cohn, 2026, needs more optimization.
6 162 0.656799765476 Henry Cohn, 2026, needs more optimization.
6 163 0.657621783361 Henry Cohn, 2026, needs more optimization.
6 164 0.658348653642 Henry Cohn, 2026, needs more optimization.
6 165 0.659084509520 Henry Cohn, 2026, needs more optimization.
6 166 0.659964683373 Henry Cohn, 2026, needs more optimization.
6 167 0.660355875176 Henry Cohn, 2026, needs more optimization.
6 168 0.660627530270 Henry Cohn, 2026, needs more optimization.
6 169 0.661754579758 Henry Cohn, 2026, needs more optimization.
6 170 0.662663966597 Henry Cohn, 2026, needs more optimization.
6 171 0.663635354345 Henry Cohn, 2026, needs more optimization.
6 172 0.664135030350 Henry Cohn, 2026, needs more optimization.
6 173 0.664451438570 Henry Cohn, 2026, needs more optimization.
6 174 0.664871092475 Henry Cohn, 2026, needs more optimization.
6 175 0.665443411314 Henry Cohn, 2026, needs more optimization.
6 176 0.666108444787 Henry Cohn, 2026, needs more optimization.
6 177 0.667548831820 Henry Cohn, 2026, needs more optimization.
6 178 0.668632913251 Henry Cohn, 2026, needs more optimization.
6 179 0.670300905014 Henry Cohn, 2026, needs more optimization.
6 180 0.671449905933 Henry Cohn, 2026, needs more optimization.
6 181 0.671960252982 Henry Cohn, 2026, needs more optimization.
6 182 0.672777006146 Henry Cohn, 2026, needs more optimization.
6 183 0.673123108658 Henry Cohn, 2026, needs more optimization.
6 184 0.673943938095 Henry Cohn, 2026, needs more optimization.
6 185 0.674404337076 Henry Cohn, 2026, needs more optimization.
6 186 0.674794379904 Henry Cohn, 2026, needs more optimization.
6 187 0.675997496890 Henry Cohn, 2026, needs more optimization.
6 188 0.676600132239 Henry Cohn, 2026, needs more optimization.
6 189 0.677344928786 Henry Cohn, 2026, needs more optimization.
6 190 0.677399054789 Henry Cohn, 2026, needs more optimization.
6 191 0.678568669184 Henry Cohn, 2026, needs more optimization.
6 192 0.679441539730 Henry Cohn, 2026, needs more optimization.
6 193 0.679736288064 Henry Cohn, 2026, needs more optimization.
6 194 0.680562751613 Henry Cohn, 2026, needs more optimization.
6 195 0.681332654790 Henry Cohn, 2026, needs more optimization.
6 196 0.681796491932 Henry Cohn, 2026, needs more optimization.
6 197 0.682623517458 Henry Cohn, 2026, needs more optimization.
6 198 0.682973022383 Henry Cohn, 2026, needs more optimization.
6 199 0.683512982745 Henry Cohn, 2026, needs more optimization.
6 200 0.684371957443 Henry Cohn, 2026, needs more optimization.
6 201 0.684423960591 Henry Cohn, 2026, needs more optimization.
6 202 0.684695807095 Henry Cohn, 2026, needs more optimization.
6 203 0.685464316067 Henry Cohn, 2026, needs more optimization.
6 204 0.686167880138 Henry Cohn, 2026, needs more optimization.
6 205 0.686255264559 Henry Cohn, 2026, needs more optimization.
6 206 0.687047370550 Henry Cohn, 2026, needs more optimization.
6 207 0.687792664686 Henry Cohn, 2026, needs more optimization.
6 208 0.688117211857 Henry Cohn, 2026, needs more optimization.
6 209 0.689071781042 Henry Cohn, 2026, needs more optimization.
6 210 0.689979691339 Henry Cohn, 2026, needs more optimization.
6 211 0.690716301905 Henry Cohn, 2026, needs more optimization.
6 212 0.691219145124 Henry Cohn, 2026, needs more optimization.
6 213 0.691670583504 Henry Cohn, 2026, needs more optimization.
6 214 0.692291091881 Henry Cohn, 2026, needs more optimization.
6 215 0.692810672104 Henry Cohn, 2026, needs more optimization.
6 216 0.693329450960 Henry Cohn, 2026, needs more optimization.
6 217 0.694031402475 Henry Cohn, 2026, needs more optimization.
6 218 0.694428133992 Henry Cohn, 2026, needs more optimization.
6 219 0.695082508504 Henry Cohn, 2026, needs more optimization.
6 220 0.695147508927 Henry Cohn, 2026, needs more optimization.
6 221 0.695418366142 Henry Cohn, 2026, needs more optimization.
6 222 0.695867575619 Henry Cohn, 2026, needs more optimization.
6 223 0.696382860650 Henry Cohn, 2026, needs more optimization.
6 224 0.697123573666 Henry Cohn, 2026, needs more optimization.
6 225 0.697415787814 Henry Cohn, 2026, needs more optimization.
6 226 0.698149604504 Henry Cohn, 2026, needs more optimization.
6 227 0.698330698503 Henry Cohn, 2026, needs more optimization.
6 228 0.698898755393 Henry Cohn, 2026, needs more optimization.
6 229 0.699495105657 Henry Cohn, 2026, needs more optimization.
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
6 244 0.704211668813 Henry Cohn, 2026, needs more optimization.
6 245 0.704213343053 Henry Cohn, 2026, needs more optimization.
6 246 0.704216977844 Henry Cohn, 2026, needs more optimization.
6 247 0.704229928030 Henry Cohn, 2026, needs more optimization.
6 248 0.704239713921 Henry Cohn, 2026, needs more optimization.
6 249 0.704292044560 Henry Cohn, 2026, needs more optimization.
6 250 0.704516877751 Henry Cohn, 2026, needs more optimization.
6 251 0.704633359747 Henry Cohn, 2026, needs more optimization.
6 252 0.704727974766 Henry Cohn, 2026, needs more optimization.
6 253 0.704943057429 Henry Cohn, 2026, needs more optimization.
6 254 0.705091134466 Henry Cohn, 2026, needs more optimization.
6 255 0.705177692698 Henry Cohn, 2026, needs more optimization.
6 256 0.705183135722 Henry Cohn, 2026, needs more optimization.
6 257 0.705533648974 Henry Cohn, 2026, needs more optimization.
6 258 0.706001252510 Henry Cohn, 2026, needs more optimization.
6 259 0.706716718620 Henry Cohn, 2026, needs more optimization.
6 260 0.707187161626 Henry Cohn, 2026, needs more optimization.
6 261 0.707854912557 Henry Cohn, 2026, needs more optimization.
6 262 0.708781132136 Henry Cohn, 2026, needs more optimization.
6 263 0.710063765491 Henry Cohn, 2026, needs more optimization.
6 264 0.710650918995 Henry Cohn, 2026, needs more optimization.
6 265 0.711650054738 Henry Cohn, 2026, needs more optimization.
6 266 0.712056159478 Henry Cohn, 2026, needs more optimization.
6 267 0.712797549744 Henry Cohn, 2026, needs more optimization.
6 268 0.713558826495 Henry Cohn, 2026, needs more optimization.
6 269 0.714387721064 Henry Cohn, 2026, needs more optimization.
6 270 0.715103885640 Henry Cohn, 2026, needs more optimization.
6 271 0.715203371818 Henry Cohn, 2026, needs more optimization.
6 272 0.716089085569 Henry Cohn, 2026, needs more optimization.
6 273 0.716893083905 Henry Cohn, 2026, needs more optimization.
6 274 0.717514591179 Henry Cohn, 2026, needs more optimization.
6 275 0.718334350593 Henry Cohn, 2026, needs more optimization.
6 276 0.718938967308 Henry Cohn, 2026, needs more optimization.
6 277 0.719526311651 Henry Cohn, 2026, needs more optimization.
6 278 0.720057824957 Henry Cohn, 2026, needs more optimization.
6 279 0.720805294953 Henry Cohn, 2026, needs more optimization.
6 280 0.721717943618 Henry Cohn, 2026, needs more optimization.
6 281 0.722084727914 Henry Cohn, 2026, needs more optimization.
6 282 0.722568313063 Henry Cohn, 2026, needs more optimization.
6 283 0.723455431863 Henry Cohn, 2026, needs more optimization.
6 284 0.723877037018 Henry Cohn, 2026, needs more optimization.
6 285 0.724560497992 Henry Cohn, 2026, needs more optimization.
6 286 0.725090793196 Henry Cohn, 2026, needs more optimization.
6 287 0.725211840757 Henry Cohn, 2026, needs more optimization.
6 288 0.725968021465 Henry Cohn, 2026, needs more optimization.
6 289 0.726302670399 Henry Cohn, 2026, needs more optimization.
6 290 0.726303490256 Henry Cohn, 2026, needs more optimization.
6 291 0.726997243048 Henry Cohn, 2026, needs more optimization.
6 292 0.727966382883 Henry Cohn, 2026, needs more optimization.
6 293 0.728393704046 Henry Cohn, 2026, needs more optimization.
6 294 0.728865960567 Henry Cohn, 2026, needs more optimization.
6 295 0.729391272223 Henry Cohn, 2026, needs more optimization.
6 296 0.729924070292 Henry Cohn, 2026, needs more optimization.
6 297 0.730478814538 Henry Cohn, 2026, needs more optimization.
6 298 0.730862704559 Henry Cohn, 2026, needs more optimization.
6 299 0.731065269230 Henry Cohn, 2026, needs more optimization.
6 300 0.731539240327 Henry Cohn, 2026, needs more optimization.
6 301 0.732020939485 Henry Cohn, 2026, needs more optimization.
6 302 0.732595312598 Henry Cohn, 2026, needs more optimization.
6 303 0.732976794742 Henry Cohn, 2026, needs more optimization.
6 304 0.733016331614 Henry Cohn, 2026, needs more optimization.
6 305 0.733453239030 Henry Cohn, 2026, needs more optimization.
6 306 0.733858044780 Henry Cohn, 2026, needs more optimization.
6 307 0.734338724495 Henry Cohn, 2026, needs more optimization.
6 308 0.734492163309 Henry Cohn, 2026, needs more optimization.
6 309 0.734839795040 Henry Cohn, 2026, needs more optimization.
6 310 0.734985332801 Henry Cohn, 2026, needs more optimization.
6 311 0.735648214637 Henry Cohn, 2026, needs more optimization.
6 312 0.736467512246 Henry Cohn, 2026, needs more optimization.
6 313 0.736730526827 Henry Cohn, 2026, needs more optimization.
6 314 0.737283817280 Henry Cohn, 2026, needs more optimization.
6 315 0.737795174178 Henry Cohn, 2026, needs more optimization.
6 316 0.738121589632 Henry Cohn, 2026, needs more optimization.
6 317 0.738591889613 Henry Cohn, 2026, needs more optimization.
6 318 0.738920082353 Henry Cohn, 2026, needs more optimization.
6 319 0.739355938267 Henry Cohn, 2026, needs more optimization.
6 320 0.739819633211 Henry Cohn, 2026, needs more optimization.
6 321 0.740392898143 Henry Cohn, 2026, needs more optimization.
6 322 0.740718623472 Henry Cohn, 2026, needs more optimization.
6 323 0.741210649064 Henry Cohn, 2026, needs more optimization.
6 324 0.741484231582 Henry Cohn, 2026, needs more optimization.
6 325 0.742104555349 Henry Cohn, 2026, needs more optimization.
6 326 0.742386151341 Henry Cohn, 2026, needs more optimization.
6 327 0.742830477483 Henry Cohn, 2026, needs more optimization.
6 328 0.742903969411 Henry Cohn, 2026, needs more optimization.
6 329 0.743338092699 Henry Cohn, 2026, needs more optimization.
6 330 0.743703583645 Henry Cohn, 2026, needs more optimization.
6 331 0.744121710687 Henry Cohn, 2026, needs more optimization.
6 332 0.744377097246 Henry Cohn, 2026, needs more optimization.
6 333 0.744404655840 Henry Cohn, 2026, needs more optimization.
6 334 0.744693232841 Henry Cohn, 2026, needs more optimization.
6 335 0.745156840218 Henry Cohn, 2026, needs more optimization.
6 336 0.745795172280 Henry Cohn, 2026, needs more optimization.
6 337 0.746050970072 Henry Cohn, 2026, needs more optimization.
6 338 0.746536814343 Henry Cohn, 2026, needs more optimization.
6 339 0.746541491877 Henry Cohn, 2026, needs more optimization.
6 340 0.746547692786 Henry Cohn, 2026, needs more optimization.
6 341 0.746549803660 Henry Cohn, 2026, needs more optimization.
6 342 0.746555037918 Henry Cohn, 2026, needs more optimization.
6 343 0.748201946187 Henry Cohn, 2026, needs more optimization.
6 344 0.748891333107 Henry Cohn, 2026, needs more optimization.
6 345 0.749168886017 Henry Cohn, 2026, needs more optimization.
6 346 0.749361533116 Henry Cohn, 2026, needs more optimization.
6 347 0.749672574610 Henry Cohn, 2026, needs more optimization.
6 348 0.750060948395 Henry Cohn, 2026, needs more optimization.
6 349 0.750323250801 Henry Cohn, 2026, needs more optimization.
6 350 0.750535324476 Henry Cohn, 2026, needs more optimization.
6 351 0.750816019938 Henry Cohn, 2026, needs more optimization.
6 352 0.751192515662 Henry Cohn, 2026, needs more optimization.
6 353 0.751504887645 Henry Cohn, 2026, needs more optimization.
6 354 0.751708141364 Henry Cohn, 2026, needs more optimization.
6 355 0.751895844338 Henry Cohn, 2026, needs more optimization.
6 356 0.752155130658 Henry Cohn, 2026, needs more optimization.
6 357 0.752448097554 Henry Cohn, 2026, needs more optimization.
6 358 0.752900568948 Henry Cohn, 2026, needs more optimization.
6 359 0.753214276804 Henry Cohn, 2026, needs more optimization.
6 360 0.753274216061 Henry Cohn, 2026, needs more optimization.
6 361 0.753652213462 Henry Cohn, 2026, needs more optimization.
6 362 0.754034540596 Henry Cohn, 2026, needs more optimization.
6 363 0.754170282269 Henry Cohn, 2026, needs more optimization.
6 364 0.754582235943 Henry Cohn, 2026, needs more optimization.
6 365 0.754725612612 Henry Cohn, 2026, needs more optimization.
6 366 0.755030045319 Henry Cohn, 2026, needs more optimization.
6 367 0.755303367294 Henry Cohn, 2026, needs more optimization.
6 368 0.755542916315 Henry Cohn, 2026, needs more optimization.
6 369 0.755895274049 Henry Cohn, 2026, needs more optimization.
6 370 0.756119302940 Henry Cohn, 2026, needs more optimization.
6 371 0.756593423905 Henry Cohn, 2026, needs more optimization.
6 372 0.756707226658 Henry Cohn, 2026, needs more optimization.
6 373 0.757059323139 Henry Cohn, 2026, needs more optimization.
6 374 0.757273405981 Henry Cohn, 2026, needs more optimization.
6 375 0.757514175630 Henry Cohn, 2026, needs more optimization.
6 376 0.757930072677 Henry Cohn, 2026, needs more optimization.
6 377 0.758173002033 Henry Cohn, 2026, needs more optimization.
6 378 0.758515472374 Henry Cohn, 2026, needs more optimization.
6 379 0.758926089519 Henry Cohn, 2026, needs more optimization.
6 380 0.759282103303 Henry Cohn, 2026, needs more optimization.
6 381 0.759295208186 Henry Cohn, 2026, needs more optimization.
6 382 0.759561739903 Henry Cohn, 2026, needs more optimization.
6 383 0.759718467640 Henry Cohn, 2026, needs more optimization.
6 384 0.759898342260 Henry Cohn, 2026, needs more optimization.
6 385 0.760294015645 Henry Cohn, 2026, needs more optimization.
6 386 0.760401545345 Henry Cohn, 2026, needs more optimization.
6 387 0.760672261179 Henry Cohn, 2026, needs more optimization.
6 388 0.761101663722 Henry Cohn, 2026, needs more optimization.
6 389 0.761304497648 Henry Cohn, 2026, needs more optimization.
6 390 0.761730330662 Henry Cohn, 2026, needs more optimization.
6 391 0.761757459732 Henry Cohn, 2026, needs more optimization.
6 392 0.762104530806 Henry Cohn, 2026, needs more optimization.
6 393 0.762148054988 Henry Cohn, 2026, needs more optimization.
6 394 0.762398661636 Henry Cohn, 2026, needs more optimization.
6 395 0.762810644512 Henry Cohn, 2026, needs more optimization.
6 396 0.763162794430 Henry Cohn, 2026, needs more optimization.
6 397 0.763218029041 Henry Cohn, 2026, needs more optimization.
6 398 0.763521710085 Henry Cohn, 2026, needs more optimization.
6 399 0.763763268067 Henry Cohn, 2026, needs more optimization.
6 400 0.763883445457 Henry Cohn, 2026, needs more optimization.
6 401 0.764132868243 Henry Cohn, 2026, needs more optimization.
6 402 0.764333939342 Henry Cohn, 2026, needs more optimization.
6 403 0.764558401338 Henry Cohn, 2026, needs more optimization.
6 404 0.764899160151 Henry Cohn, 2026, needs more optimization.
6 405 0.765049142989 Henry Cohn, 2026, needs more optimization.
6 406 0.765263895675 Henry Cohn, 2026, needs more optimization.
6 407 0.765555674150 Henry Cohn, 2026, needs more optimization.
6 408 0.765777438846 Henry Cohn, 2026, needs more optimization.
6 409 0.765830209890 Henry Cohn, 2026, needs more optimization.
6 410 0.766021314525 Henry Cohn, 2026, needs more optimization.
6 411 0.766325830164 Henry Cohn, 2026, needs more optimization.
6 412 0.766593418524 Henry Cohn, 2026, needs more optimization.
6 413 0.766737597131 Henry Cohn, 2026, needs more optimization.
6 414 0.767056491154 Henry Cohn, 2026, needs more optimization.
6 415 0.767455353004 Henry Cohn, 2026, needs more optimization.
6 416 0.767676374487 Henry Cohn, 2026, needs more optimization.
6 417 0.768021659735 Henry Cohn, 2026, needs more optimization.
6 418 0.768201392310 Henry Cohn, 2026, needs more optimization.
6 419 0.768532642343 Henry Cohn, 2026, needs more optimization.
6 420 0.768688616281 Henry Cohn, 2026, needs more optimization.
6 421 0.768859056432 Henry Cohn, 2026, needs more optimization.
6 422 0.769114681254 Henry Cohn, 2026, needs more optimization.
6 423 0.769299000700 Henry Cohn, 2026, needs more optimization.
6 424 0.769579777435 Henry Cohn, 2026, needs more optimization.
6 425 0.769838393421 Henry Cohn, 2026, needs more optimization.
6 426 0.770189736918 Henry Cohn, 2026, needs more optimization.
6 427 0.770335410158 Henry Cohn, 2026, needs more optimization.
6 428 0.770409548274 Henry Cohn, 2026, needs more optimization.
6 429 0.770589804902 Henry Cohn, 2026, needs more optimization.
6 430 0.770829025468 Henry Cohn, 2026, needs more optimization.
6 431 0.770921761234 Henry Cohn, 2026, needs more optimization.
6 432 0.771067803556 Henry Cohn, 2026, needs more optimization.
6 433 0.771343572526 Henry Cohn, 2026, needs more optimization.
6 434 0.771485162546 Henry Cohn, 2026, needs more optimization.
6 435 0.771803617787 Henry Cohn, 2026, needs more optimization.
6 436 0.771861471027 Henry Cohn, 2026, needs more optimization.
6 437 0.771971231552 Henry Cohn, 2026, needs more optimization.
6 438 0.772158805336 Henry Cohn, 2026, needs more optimization.
6 439 0.772518124336 Henry Cohn, 2026, needs more optimization.
6 440 0.772638784306 Henry Cohn, 2026, needs more optimization.
6 441 0.772899718236 Henry Cohn, 2026, needs more optimization.
6 442 0.773089174573 Henry Cohn, 2026, needs more optimization.
6 443 0.773269625018 Henry Cohn, 2026, needs more optimization.
6 444 0.773411178256 Henry Cohn, 2026, needs more optimization.
6 445 0.773772502143 Henry Cohn, 2026, needs more optimization.
6 446 0.774049035236 Henry Cohn, 2026, needs more optimization.
6 447 0.774217395243 Henry Cohn, 2026, needs more optimization.
6 448 0.774388859807 Henry Cohn, 2026, needs more optimization.
6 449 0.774713757869 Henry Cohn, 2026, needs more optimization.
6 450 0.774866418092 Henry Cohn, 2026, needs more optimization.
6 451 0.775056288728 Henry Cohn, 2026, needs more optimization.
6 452 0.775209203498 Henry Cohn, 2026, needs more optimization.
6 453 0.775425477331 Henry Cohn, 2026, needs more optimization.
6 454 0.775481518784 Henry Cohn, 2026, needs more optimization.
6 455 0.775845198490 Henry Cohn, 2026, needs more optimization.
6 456 0.776062018176 Henry Cohn, 2026, needs more optimization.
6 457 0.776314869773 Henry Cohn, 2026, needs more optimization.
6 458 0.776421427610 Henry Cohn, 2026, needs more optimization.
6 459 0.776689493334 Henry Cohn, 2026, needs more optimization.
6 460 0.776746332060 Henry Cohn, 2026, needs more optimization.
6 461 0.776780980066 Henry Cohn, 2026, needs more optimization.
6 462 0.777137672401 Henry Cohn, 2026, needs more optimization.
6 463 0.777395813401 Henry Cohn, 2026, needs more optimization.
6 464 0.777456574882 Henry Cohn, 2026, needs more optimization.
6 465 0.777664163625 Henry Cohn, 2026, needs more optimization.
6 466 0.777932290248 Henry Cohn, 2026, needs more optimization.
6 467 0.778020709334 Henry Cohn, 2026, needs more optimization.
6 468 0.778280901653 Henry Cohn, 2026, needs more optimization.
6 469 0.778331229221 Henry Cohn, 2026, needs more optimization.
6 470 0.778721382571 Henry Cohn, 2026, needs more optimization.
6 471 0.778904658043 Henry Cohn, 2026, needs more optimization.
6 472 0.779175065550 Henry Cohn, 2026, needs more optimization.
6 473 0.779468571836 Henry Cohn, 2026, needs more optimization.
6 474 0.779642734301 Henry Cohn, 2026, needs more optimization.
6 475 0.779708522997 Henry Cohn, 2026, needs more optimization.
6 476 0.779728638465 Henry Cohn, 2026, needs more optimization.
6 477 0.779844938713 Henry Cohn, 2026, needs more optimization.
6 478 0.780132654262 Henry Cohn, 2026, needs more optimization.
6 479 0.780343841663 Henry Cohn, 2026, needs more optimization.
6 480 0.780545875836 Henry Cohn, 2026, needs more optimization.
6 481 0.780688161599 Henry Cohn, 2026, needs more optimization.
6 482 0.780896860865 Henry Cohn, 2026, needs more optimization.
6 483 0.781071847265 Henry Cohn, 2026, needs more optimization.
6 484 0.781410880550 Henry Cohn, 2026, needs more optimization.
6 485 0.781544891470 Henry Cohn, 2026, needs more optimization.
6 486 0.781658478887 Henry Cohn, 2026, needs more optimization.
6 487 0.781957551929 Henry Cohn, 2026, needs more optimization.
6 488 0.782127042310 Henry Cohn, 2026, needs more optimization.
6 489 0.782403788875 Henry Cohn, 2026, needs more optimization.
6 490 0.782443261430 Henry Cohn, 2026, needs more optimization.
6 491 0.782695376668 Henry Cohn, 2026, needs more optimization.
6 492 0.782822077046 Henry Cohn, 2026, needs more optimization.
6 493 0.783010193453 Henry Cohn, 2026, needs more optimization.
6 494 0.783264794463 Henry Cohn, 2026, needs more optimization.
6 495 0.783277697070 Henry Cohn, 2026, needs more optimization.
6 496 0.783454764824 Henry Cohn, 2026, needs more optimization.
6 497 0.783692008905 Henry Cohn, 2026, needs more optimization.
6 498 0.783837434903 Henry Cohn, 2026, needs more optimization.
6 499 0.783841575776 Henry Cohn, 2026, needs more optimization.
6 500 0.784064746301 Henry Cohn, 2026, needs more optimization.
6 501 0.784440287270 Henry Cohn, 2026, needs more optimization.
6 502 0.784672715225 Henry Cohn, 2026, needs more optimization.
6 503 0.784867173149 Henry Cohn, 2026, needs more optimization.
6 504 0.785009541074 Henry Cohn, 2026, needs more optimization.
6 505 0.785168497341 Henry Cohn, 2026, needs more optimization.
6 506 0.785347280965 Henry Cohn, 2026, needs more optimization.
6 507 0.785474450833 Henry Cohn, 2026, needs more optimization.
6 508 0.785638035139 Henry Cohn, 2026, needs more optimization.
6 509 0.785863176607 Henry Cohn, 2026, needs more optimization.
6 510 0.786020899887 Henry Cohn, 2026, needs more optimization.
6 511 0.786280309403 Henry Cohn, 2026, needs more optimization.
6 512 0.786370672214 Henry Cohn, 2026, needs more optimization.
6 513 0.786403663606 Henry Cohn, 2026, needs more optimization.
6 514 0.786567209971 Henry Cohn, 2026, needs more optimization.
6 515 0.786634223386 Henry Cohn, 2026, needs more optimization.
6 516 0.786775802760 Henry Cohn, 2026, needs more optimization.
6 517 0.786997496898 Henry Cohn, 2026, needs more optimization.
6 518 0.787266491040 Henry Cohn, 2026, needs more optimization.
6 519 0.787282598097 Henry Cohn, 2026, needs more optimization.
6 520 0.787431602148 Henry Cohn, 2026, needs more optimization.
6 521 0.787665576611 Henry Cohn, 2026, needs more optimization.
6 522 0.787798274090 Henry Cohn, 2026, needs more optimization.
6 523 0.788008904444 Henry Cohn, 2026, needs more optimization.
6 524 0.788343534256 Henry Cohn, 2026, needs more optimization.
6 525 0.788432791317 Henry Cohn, 2026, needs more optimization.
6 526 0.788565107016 Henry Cohn, 2026, needs more optimization.
6 527 0.788868143877 Henry Cohn, 2026, needs more optimization.
6 528 0.788919139705 Henry Cohn, 2026, needs more optimization.
6 529 0.789115704667 Henry Cohn, 2026, needs more optimization.
6 530 0.789224917068 Henry Cohn, 2026, needs more optimization.
6 531 0.789407556593 Henry Cohn, 2026, needs more optimization.
6 532 0.789543206700 Henry Cohn, 2026, needs more optimization.
6 533 0.789726224884 Henry Cohn, 2026, needs more optimization.
6 534 0.789759231876 Henry Cohn, 2026, needs more optimization.
6 535 0.790018510648 Henry Cohn, 2026, needs more optimization.
6 536 0.790057404092 Henry Cohn, 2026, needs more optimization.
6 537 0.790291350179 Henry Cohn, 2026, needs more optimization.
6 538 0.790476985806 Henry Cohn, 2026, needs more optimization.
6 539 0.790493721239 Henry Cohn, 2026, needs more optimization.
6 540 0.790697749316 Henry Cohn, 2026, needs more optimization.
6 541 0.790878890156 Henry Cohn, 2026, needs more optimization.
6 542 0.790905345217 Henry Cohn, 2026, needs more optimization.
6 543 0.791096628661 Henry Cohn, 2026, needs more optimization.
6 544 0.791288437202 Henry Cohn, 2026, needs more optimization.
6 545 0.791483068048 Henry Cohn, 2026, needs more optimization.
6 546 0.791755916150 Henry Cohn, 2026, needs more optimization.
6 547 0.791799075944 Henry Cohn, 2026, needs more optimization.
6 548 0.791973549224 Henry Cohn, 2026, needs more optimization.
6 549 0.792113364494 Henry Cohn, 2026, needs more optimization.
6 550 0.792221839060 Henry Cohn, 2026, needs more optimization.
6 551 0.792465123408 Henry Cohn, 2026, needs more optimization.
6 552 0.792561130363 Henry Cohn, 2026, needs more optimization.
6 553 0.792706918631 Henry Cohn, 2026, needs more optimization.
6 554 0.792868490815 Henry Cohn, 2026, needs more optimization.
6 555 0.793006936497 Henry Cohn, 2026, needs more optimization.
6 556 0.793262379046 Henry Cohn, 2026, needs more optimization.
6 557 0.793315611932 Henry Cohn, 2026, needs more optimization.
6 558 0.793372201293 Henry Cohn, 2026, needs more optimization.
6 559 0.793488773786 Henry Cohn, 2026, needs more optimization.
6 560 0.793736930972 Henry Cohn, 2026, needs more optimization.
6 561 0.793992542425 Henry Cohn, 2026, needs more optimization.
6 562 0.793994923909 Henry Cohn, 2026, needs more optimization.
6 564 0.794228457571 Henry Cohn, 2026, needs more optimization.
6 565 0.794450061800 Henry Cohn, 2026, needs more optimization.
6 566 0.794614269405 Henry Cohn, 2026, needs more optimization.
6 567 0.794775479785 Henry Cohn, 2026, needs more optimization.
6 568 0.795014220097 Henry Cohn, 2026, needs more optimization.
6 569 0.795032747820 Henry Cohn, 2026, needs more optimization.
6 570 0.795156336458 Henry Cohn, 2026, needs more optimization.
6 571 0.795226316801 Henry Cohn, 2026, needs more optimization.
6 572 0.795375703389 Henry Cohn, 2026, needs more optimization.
6 573 0.795573575738 Henry Cohn, 2026, needs more optimization.
6 574 0.795656889811 Henry Cohn, 2026, needs more optimization.
6 575 0.795875067906 Henry Cohn, 2026, needs more optimization.
6 576 0.796078867448 Henry Cohn, 2026, needs more optimization.
6 577 0.796196355582 Henry Cohn, 2026, needs more optimization.
6 578 0.796328587809 Henry Cohn, 2026, needs more optimization.
6 579 0.796573114363 Henry Cohn, 2026, needs more optimization.
6 580 0.796707973055 Henry Cohn, 2026, needs more optimization.
6 581 0.796753134165 Henry Cohn, 2026, needs more optimization.
6 582 0.796938879494 Henry Cohn, 2026, needs more optimization.
6 583 0.797065531120 Henry Cohn, 2026, needs more optimization.
6 584 0.797349679595 Henry Cohn, 2026, needs more optimization.
6 585 0.797378790386 Henry Cohn, 2026, needs more optimization.
6 586 0.797379425280 Henry Cohn, 2026, needs more optimization.
6 587 0.797509321325 Henry Cohn, 2026, needs more optimization.
6 588 0.797681655386 Henry Cohn, 2026, needs more optimization.
6 589 0.797819419880 Henry Cohn, 2026, needs more optimization.
6 590 0.797913477253 Henry Cohn, 2026, needs more optimization.
6 591 0.798116287928 Henry Cohn, 2026, needs more optimization.
6 592 0.798369470602 Henry Cohn, 2026, needs more optimization.
6 593 0.798459372438 Henry Cohn, 2026, needs more optimization.
6 594 0.798645383213 Henry Cohn, 2026, needs more optimization.
6 595 0.798786640305 Henry Cohn, 2026, needs more optimization.
6 596 0.798923351315 Henry Cohn, 2026, needs more optimization.
6 597 0.799153598994 Henry Cohn, 2026, needs more optimization.
6 598 0.799236702514 Henry Cohn, 2026, needs more optimization.
6 599 0.799358533300 Henry Cohn, 2026, needs more optimization.
6 600 0.799536444605 Henry Cohn, 2026, needs more optimization.
6 601 0.799660989129 Henry Cohn, 2026, needs more optimization.
6 602 0.799775850520 Henry Cohn, 2026, needs more optimization.
6 603 0.799912250653 Henry Cohn, 2026, needs more optimization.
6 604 0.800060659900 Henry Cohn, 2026, needs more optimization.
6 605 0.800202697599 Henry Cohn, 2026, needs more optimization.
6 606 0.800213020880 Henry Cohn, 2026, needs more optimization.
6 607 0.800471601436 Henry Cohn, 2026, needs more optimization.
6 608 0.800482429261 Henry Cohn, 2026, needs more optimization.
6 609 0.800621079236 Henry Cohn, 2026, needs more optimization.
6 610 0.800762203171 Henry Cohn, 2026, needs more optimization.
6 611 0.801001892258 Henry Cohn, 2026, needs more optimization.
6 612 0.801128959303 Henry Cohn, 2026, needs more optimization.
6 613 0.801161217757 Henry Cohn, 2026, needs more optimization.
6 614 0.801443821936 Henry Cohn, 2026, needs more optimization.
6 615 0.801483572042 Henry Cohn, 2026, needs more optimization.
6 616 0.801643864411 Henry Cohn, 2026, needs more optimization.
6 617 0.801646350570 Henry Cohn, 2026, needs more optimization.
6 618 0.801782379403 Henry Cohn, 2026, needs more optimization.
6 619 0.801909073688 Henry Cohn, 2026, needs more optimization.
6 620 0.801964787476 Henry Cohn, 2026, needs more optimization.
6 621 0.802159844660 Henry Cohn, 2026, needs more optimization.
6 622 0.802421531634 Henry Cohn, 2026, needs more optimization.
6 623 0.802561739058 Henry Cohn, 2026, needs more optimization.
6 624 0.802579090040 Henry Cohn, 2026, needs more optimization.
6 625 0.802700806918 Henry Cohn, 2026, needs more optimization.
6 626 0.802896073078 Henry Cohn, 2026, needs more optimization.
6 627 0.802914858522 Henry Cohn, 2026, needs more optimization.
6 628 0.803001247391 Henry Cohn, 2026, needs more optimization.
6 629 0.803182774292 Henry Cohn, 2026, needs more optimization.
6 630 0.803289352359 Henry Cohn, 2026, needs more optimization.
6 631 0.803409685903 Henry Cohn, 2026, needs more optimization.
6 632 0.803554811132 Henry Cohn, 2026, needs more optimization.
6 633 0.803755326005 Henry Cohn, 2026, needs more optimization.
6 634 0.803975065323 Henry Cohn, 2026, needs more optimization.
6 635 0.803989028827 Henry Cohn, 2026, needs more optimization.
6 636 0.804077989273 Henry Cohn, 2026, needs more optimization.
6 637 0.804214404378 Henry Cohn, 2026, needs more optimization.
6 638 0.804381146885 Henry Cohn, 2026, needs more optimization.
6 639 0.804382436077 Henry Cohn, 2026, needs more optimization.
6 640 0.804599315787 Henry Cohn, 2026, needs more optimization.
6 641 0.804605190124 Henry Cohn, 2026, needs more optimization.
6 642 0.804664676977 Henry Cohn, 2026, needs more optimization.
6 643 0.804776480948 Henry Cohn, 2026, needs more optimization.
6 644 0.804940716176 Henry Cohn, 2026, needs more optimization.
6 645 0.805179318797 Henry Cohn, 2026, needs more optimization.
6 646 0.805265991346 Henry Cohn, 2026, needs more optimization.
6 647 0.805429196816 Henry Cohn, 2026, needs more optimization.
6 648 0.805451554216 Henry Cohn, 2026, needs more optimization.
6 649 0.805549052871 Henry Cohn, 2026, needs more optimization.
6 650 0.805656902227 Henry Cohn, 2026, needs more optimization.
6 651 0.805795251877 Henry Cohn, 2026, needs more optimization.
6 652 0.805923395735 Henry Cohn, 2026, needs more optimization.
6 653 0.806068599876 Henry Cohn, 2026, needs more optimization.
6 654 0.806183656297 Henry Cohn, 2026, needs more optimization.
6 655 0.806370421493 Henry Cohn, 2026, needs more optimization.
6 656 0.806398213353 Henry Cohn, 2026, needs more optimization.
6 657 0.806532803174 Henry Cohn, 2026, needs more optimization.
6 658 0.806595005372 Henry Cohn, 2026, needs more optimization.
6 659 0.806711297894 Henry Cohn, 2026, needs more optimization.
6 660 0.806751331671 Henry Cohn, 2026, needs more optimization.
6 661 0.806894185117 Henry Cohn, 2026, needs more optimization.
6 662 0.807086679886 Henry Cohn, 2026, needs more optimization.
6 663 0.807252398994 Henry Cohn, 2026, needs more optimization.
6 664 0.807285265105 Henry Cohn, 2026, needs more optimization.
6 665 0.807561080354 Henry Cohn, 2026, needs more optimization.
6 666 0.807580085335 Henry Cohn, 2026, needs more optimization.
6 667 0.807742651665 Henry Cohn, 2026, needs more optimization.
6 668 0.807782215015 Henry Cohn, 2026, needs more optimization.
6 669 0.807821679195 Henry Cohn, 2026, needs more optimization.
6 670 0.807893715855 Henry Cohn, 2026, needs more optimization.
6 671 0.808065413800 Henry Cohn, 2026, needs more optimization.
6 672 0.808130665936 Henry Cohn, 2026, needs more optimization.
6 673 0.808286477505 Henry Cohn, 2026, needs more optimization.
6 674 0.808455756236 Henry Cohn, 2026, needs more optimization.
6 675 0.808544226901 Henry Cohn, 2026, needs more optimization.
6 676 0.808752919858 Henry Cohn, 2026, needs more optimization.
6 677 0.808926529902 Henry Cohn, 2026, needs more optimization.
6 678 0.808979500370 Henry Cohn, 2026, needs more optimization.
6 679 0.809098162477 Henry Cohn, 2026, needs more optimization.
6 680 0.809200868428 Henry Cohn, 2026, needs more optimization.
6 681 0.809369190136 Henry Cohn, 2026, needs more optimization.
6 682 0.809510050479 Henry Cohn, 2026, needs more optimization.
6 683 0.809573417185 Henry Cohn, 2026, needs more optimization.
6 684 0.809705660680 Henry Cohn, 2026, needs more optimization.
6 685 0.809809510442 Henry Cohn, 2026, needs more optimization.
6 686 0.809903258885 Henry Cohn, 2026, needs more optimization.
6 687 0.809948472992 Henry Cohn, 2026, needs more optimization.
6 688 0.810113604771 Henry Cohn, 2026, needs more optimization.
6 689 0.810281633568 Henry Cohn, 2026, needs more optimization.
6 690 0.810366155980 Henry Cohn, 2026, needs more optimization.
6 691 0.810471218998 Henry Cohn, 2026, needs more optimization.
6 692 0.810573476686 Henry Cohn, 2026, needs more optimization.
6 693 0.810670370791 Henry Cohn, 2026, needs more optimization.
6 695 0.810855451526 Henry Cohn, 2026, needs more optimization.
6 696 0.811065891770 Henry Cohn, 2026, needs more optimization.
6 697 0.811157244706 Henry Cohn, 2026, needs more optimization.
6 698 0.811432936187 Henry Cohn, 2026, needs more optimization.
6 699 0.811548768238 Henry Cohn, 2026, needs more optimization.
6 700 0.811672898680 Henry Cohn, 2026, needs more optimization.
6 701 0.811698474053 Henry Cohn, 2026, needs more optimization.
6 702 0.811745655634 Henry Cohn, 2026, needs more optimization.
6 703 0.811871765771 Henry Cohn, 2026, needs more optimization.
6 704 0.811887866155 Henry Cohn, 2026, needs more optimization.
6 705 0.811970505941 Henry Cohn, 2026, needs more optimization.
6 706 0.812132422640 Henry Cohn, 2026, needs more optimization.
6 707 0.812329788367 Henry Cohn, 2026, needs more optimization.
6 708 0.812448232078 Henry Cohn, 2026, needs more optimization.
6 709 0.812554499386 Henry Cohn, 2026, needs more optimization.
6 710 0.812666166810 Henry Cohn, 2026, needs more optimization.
6 711 0.812744018168 Henry Cohn, 2026, needs more optimization.
6 712 0.812904731057 Henry Cohn, 2026, needs more optimization.
6 713 0.813008077327 Henry Cohn, 2026, needs more optimization.
6 714 0.813149613854 Henry Cohn, 2026, needs more optimization.
6 715 0.813303124903 Henry Cohn, 2026, needs more optimization.
6 716 0.813309596186 Henry Cohn, 2026, needs more optimization.
6 717 0.813335671580 Henry Cohn, 2026, needs more optimization.
6 718 0.813478942080 Henry Cohn, 2026, needs more optimization.
6 719 0.813615573227 Henry Cohn, 2026, needs more optimization.
6 720 0.813663535666 Henry Cohn, 2026, needs more optimization.
6 721 0.813810950293 Henry Cohn, 2026, needs more optimization.
6 722 0.813941105254 Henry Cohn, 2026, needs more optimization.
6 723 0.813955782188 Henry Cohn, 2026, needs more optimization.
6 724 0.814057414155 Henry Cohn, 2026, needs more optimization.
6 725 0.814201397096 Henry Cohn, 2026, needs more optimization.
6 726 0.814315879719 Henry Cohn, 2026, needs more optimization.
6 727 0.814487347312 Henry Cohn, 2026, needs more optimization.
6 728 0.814496261181 Henry Cohn, 2026, needs more optimization.
6 729 0.814546912516 Henry Cohn, 2026, needs more optimization.
6 730 0.814687639846 Henry Cohn, 2026, needs more optimization.
6 731 0.814843875339 Henry Cohn, 2026, needs more optimization.
6 732 0.814848342044 Henry Cohn, 2026, needs more optimization.
6 733 0.814912439861 Henry Cohn, 2026, needs more optimization.
6 734 0.815069220671 Henry Cohn, 2026, needs more optimization.
6 735 0.815093388369 Henry Cohn, 2026, needs more optimization.
6 736 0.815203323260 Henry Cohn, 2026, needs more optimization.
6 737 0.815347761557 Henry Cohn, 2026, needs more optimization.
6 738 0.815535864658 Henry Cohn, 2026, needs more optimization.
6 739 0.815623487059 Henry Cohn, 2026, needs more optimization.
6 740 0.815759730174 Henry Cohn, 2026, needs more optimization.
6 741 0.815872069793 Henry Cohn, 2026, needs more optimization.
6 742 0.816009641157 Henry Cohn, 2026, needs more optimization.
6 743 0.816028845983 Henry Cohn, 2026, needs more optimization.
6 744 0.816072924951 Henry Cohn, 2026, needs more optimization.
6 745 0.816203051049 Henry Cohn, 2026, needs more optimization.
6 746 0.816301031660 Henry Cohn, 2026, needs more optimization.
6 747 0.816514108783 Henry Cohn, 2026, needs more optimization.
6 749 0.816589425576 Henry Cohn, 2026, needs more optimization.
6 750 0.816804201716 Henry Cohn, 2026, needs more optimization.
6 751 0.816949498642 Henry Cohn, 2026, needs more optimization.
6 752 0.816971049390 Henry Cohn, 2026, needs more optimization.
6 753 0.817116986448 Henry Cohn, 2026, needs more optimization.
6 754 0.817237407622 Henry Cohn, 2026, needs more optimization.
6 755 0.817241055687 Henry Cohn, 2026, needs more optimization.
6 756 0.817376905422 Henry Cohn, 2026, needs more optimization.
6 757 0.817457259999 Henry Cohn, 2026, needs more optimization.
6 758 0.817487886763 Henry Cohn, 2026, needs more optimization.
6 759 0.817676074159 Henry Cohn, 2026, needs more optimization.
6 760 0.817689336687 Henry Cohn, 2026, needs more optimization.
6 761 0.817733288774 Henry Cohn, 2026, needs more optimization.
6 762 0.817913643229 Henry Cohn, 2026, needs more optimization.
6 763 0.818095224834 Henry Cohn, 2026, needs more optimization.
6 764 0.818169174125 Henry Cohn, 2026, needs more optimization.
6 765 0.818295173505 Henry Cohn, 2026, needs more optimization.
6 766 0.818339354248 Henry Cohn, 2026, needs more optimization.
6 767 0.818383937257 Henry Cohn, 2026, needs more optimization.
6 768 0.818553541147 Henry Cohn, 2026, needs more optimization.
6 769 0.818616653541 Henry Cohn, 2026, needs more optimization.
6 770 0.818799444043 Henry Cohn, 2026, needs more optimization.
6 771 0.818814510502 Henry Cohn, 2026, needs more optimization.
6 772 0.818897416350 Henry Cohn, 2026, needs more optimization.
6 773 0.818932763795 Henry Cohn, 2026, needs more optimization.
6 774 0.819067615609 Henry Cohn, 2026, needs more optimization.
6 775 0.819100188262 Henry Cohn, 2026, needs more optimization.
6 776 0.819232970189 Henry Cohn, 2026, needs more optimization.
6 777 0.819288528921 Henry Cohn, 2026, needs more optimization.
6 778 0.819462249139 Henry Cohn, 2026, needs more optimization.
6 779 0.819546500545 Henry Cohn, 2026, needs more optimization.
6 780 0.819643425332 Henry Cohn, 2026, needs more optimization.
6 781 0.819689570597 Henry Cohn, 2026, needs more optimization.
6 782 0.819717242341 Henry Cohn, 2026, needs more optimization.
6 783 0.819822438187 Henry Cohn, 2026, needs more optimization.
6 784 0.819933848429 Henry Cohn, 2026, needs more optimization.
6 785 0.819973531800 Henry Cohn, 2026, needs more optimization.
6 786 0.820162296273 Henry Cohn, 2026, needs more optimization.
6 787 0.820174560383 Henry Cohn, 2026, needs more optimization.
6 788 0.820328679751 Henry Cohn, 2026, needs more optimization.
6 789 0.820415475366 Henry Cohn, 2026, needs more optimization.
6 790 0.820515547659 Henry Cohn, 2026, needs more optimization.
6 791 0.820571955223 Henry Cohn, 2026, needs more optimization.
6 793 0.820779738219 Henry Cohn, 2026, needs more optimization.
6 794 0.820979072581 Henry Cohn, 2026, needs more optimization.
6 795 0.820989014736 Henry Cohn, 2026, needs more optimization.
6 796 0.820996036522 Henry Cohn, 2026, needs more optimization.
6 797 0.821050275395 Henry Cohn, 2026, needs more optimization.
6 798 0.821153643247 Henry Cohn, 2026, needs more optimization.
6 799 0.821262916742 Henry Cohn, 2026, needs more optimization.
6 800 0.821417294244 Henry Cohn, 2026, needs more optimization.
6 801 0.821560311871 Henry Cohn, 2026, needs more optimization.
6 802 0.821664121567 Henry Cohn, 2026, needs more optimization.
6 803 0.821706912676 Henry Cohn, 2026, needs more optimization.
6 804 0.821738862785 Henry Cohn, 2026, needs more optimization.
6 805 0.821803871879 Henry Cohn, 2026, needs more optimization.
6 806 0.821884081550 Henry Cohn, 2026, needs more optimization.
6 807 0.821937280142 Henry Cohn, 2026, needs more optimization.
6 808 0.821975696335 Henry Cohn, 2026, needs more optimization.
6 809 0.822130682059 Henry Cohn, 2026, needs more optimization.
6 810 0.822292018918 Henry Cohn, 2026, needs more optimization.
6 811 0.822350992711 Henry Cohn, 2026, needs more optimization.
6 812 0.822489404520 Henry Cohn, 2026, needs more optimization.
6 813 0.822638307322 Henry Cohn, 2026, needs more optimization.
6 814 0.822687135532 Henry Cohn, 2026, needs more optimization.
6 815 0.822762994443 Henry Cohn, 2026, needs more optimization.
6 816 0.822792273279 Henry Cohn, 2026, needs more optimization.
6 817 0.822973330530 Henry Cohn, 2026, needs more optimization.
6 818 0.823014542165 Henry Cohn, 2026, needs more optimization.
6 819 0.823126353330 Henry Cohn, 2026, needs more optimization.
6 820 0.823160105820 Henry Cohn, 2026, needs more optimization.
6 821 0.823313036023 Henry Cohn, 2026, needs more optimization.
6 822 0.823435481647 Henry Cohn, 2026, needs more optimization.
6 824 0.823639508169 Henry Cohn, 2026, needs more optimization.
6 825 0.823713391194 Henry Cohn, 2026, needs more optimization.
6 826 0.823853259701 Henry Cohn, 2026, needs more optimization.
6 827 0.823997725332 Henry Cohn, 2026, needs more optimization.
6 828 0.824000600074 Henry Cohn, 2026, needs more optimization.
6 829 0.824036740208 Henry Cohn, 2026, needs more optimization.
6 830 0.824125439865 Henry Cohn, 2026, needs more optimization.
6 831 0.824248440844 Henry Cohn, 2026, needs more optimization.
6 832 0.824310513580 Henry Cohn, 2026, needs more optimization.
6 833 0.824354664983 Henry Cohn, 2026, needs more optimization.
6 834 0.824457578696 Henry Cohn, 2026, needs more optimization.
6 835 0.824519129518 Henry Cohn, 2026, needs more optimization.
6 836 0.824527969764 Henry Cohn, 2026, needs more optimization.
6 837 0.824645110243 Henry Cohn, 2026, needs more optimization.
6 838 0.824729527119 Henry Cohn, 2026, needs more optimization.
6 839 0.824872908247 Henry Cohn, 2026, needs more optimization.
6 840 0.824902872353 Henry Cohn, 2026, needs more optimization.
6 841 0.824997445981 Henry Cohn, 2026, needs more optimization.
6 842 0.825098174398 Henry Cohn, 2026, needs more optimization.
6 843 0.825271561962 Henry Cohn, 2026, needs more optimization.
6 844 0.825312887187 Henry Cohn, 2026, needs more optimization.
6 845 0.825393867201 Henry Cohn, 2026, needs more optimization.
6 846 0.825552003568 Henry Cohn, 2026, needs more optimization.
6 847 0.825560285179 Henry Cohn, 2026, needs more optimization.
6 848 0.825581597195 Henry Cohn, 2026, needs more optimization.
6 849 0.825776796907 Henry Cohn, 2026, needs more optimization.
6 850 0.825859125733 Henry Cohn, 2026, needs more optimization.
6 851 0.825862210393 Henry Cohn, 2026, needs more optimization.
6 852 0.826001372410 Henry Cohn, 2026, needs more optimization.
6 853 0.826141135886 Henry Cohn, 2026, needs more optimization.
6 854 0.826227354490 Henry Cohn, 2026, needs more optimization.
6 855 0.826391530169 Henry Cohn, 2026, needs more optimization.
6 856 0.826415296291 Henry Cohn, 2026, needs more optimization.
6 857 0.826506522202 Henry Cohn, 2026, needs more optimization.
6 858 0.826630597910 Henry Cohn, 2026, needs more optimization.
6 859 0.826677094013 Henry Cohn, 2026, needs more optimization.
6 860 0.826806123595 Henry Cohn, 2026, needs more optimization.
6 861 0.826925146050 Henry Cohn, 2026, needs more optimization.
6 862 0.826930400146 Henry Cohn, 2026, needs more optimization.
6 863 0.827031647380 Henry Cohn, 2026, needs more optimization.
6 864 0.827079918139 Henry Cohn, 2026, needs more optimization.
6 865 0.827269384460 Henry Cohn, 2026, needs more optimization.
6 866 0.827274800436 Henry Cohn, 2026, needs more optimization.
6 867 0.827292060995 Henry Cohn, 2026, needs more optimization.
6 869 0.827344569091 Henry Cohn, 2026, needs more optimization.
6 870 0.827555001462 Henry Cohn, 2026, needs more optimization.
6 871 0.827587057001 Henry Cohn, 2026, needs more optimization.
6 872 0.827631042586 Henry Cohn, 2026, needs more optimization.
6 873 0.827650561025 Henry Cohn, 2026, needs more optimization.
6 875 0.827660048005 Henry Cohn, 2026, needs more optimization.
6 876 0.827668583992 Henry Cohn, 2026, needs more optimization.
6 877 0.827818998009 Henry Cohn, 2026, needs more optimization.
6 878 0.827863059461 Henry Cohn, 2026, needs more optimization.
6 879 0.827885073114 Henry Cohn, 2026, needs more optimization.
6 880 0.827918100412 Henry Cohn, 2026, needs more optimization.
6 881 0.827975897709 Henry Cohn, 2026, needs more optimization.
6 882 0.828000636261 Henry Cohn, 2026, needs more optimization.
6 883 0.828018978525 Henry Cohn, 2026, needs more optimization.
6 884 0.828086250854 Henry Cohn, 2026, needs more optimization.
6 885 0.828313629983 Henry Cohn, 2026, needs more optimization.
6 886 0.828352879926 Henry Cohn, 2026, needs more optimization.
6 887 0.828419821470 Henry Cohn, 2026, needs more optimization.
6 888 0.828456880997 Henry Cohn, 2026, needs more optimization.
6 889 0.828556017222 Henry Cohn, 2026, needs more optimization.
6 890 0.828588533480 Henry Cohn, 2026, needs more optimization.
6 891 0.828610517074 Henry Cohn, 2026, needs more optimization.
6 892 0.828749417632 Henry Cohn, 2026, needs more optimization.
6 893 0.828779761271 Henry Cohn, 2026, needs more optimization.
6 895 0.828850349149 Henry Cohn, 2026, needs more optimization.
6 896 0.828937943030 Henry Cohn, 2026, needs more optimization.
6 897 0.828971316007 Henry Cohn, 2026, needs more optimization.
6 898 0.829079282756 Henry Cohn, 2026, needs more optimization.
6 899 0.829085257183 Henry Cohn, 2026, needs more optimization.
6 900 0.829106245479 Henry Cohn, 2026, needs more optimization.
6 901 0.829307001827 Henry Cohn, 2026, needs more optimization.
6 902 0.829322392707 Henry Cohn, 2026, needs more optimization.
6 903 0.829433935903 Henry Cohn, 2026, needs more optimization.
6 904 0.829518217739 Henry Cohn, 2026, needs more optimization.
6 905 0.829606590755 Henry Cohn, 2026, needs more optimization.
6 906 0.829656557053 Henry Cohn, 2026, needs more optimization.
6 908 0.829783237702 Henry Cohn, 2026, needs more optimization.
6 909 0.829897585531 Henry Cohn, 2026, needs more optimization.
6 910 0.829941895075 Henry Cohn, 2026, needs more optimization.
6 911 0.829950437594 Henry Cohn, 2026, needs more optimization.
6 912 0.830010674253 Henry Cohn, 2026, needs more optimization.
6 913 0.830071967845 Henry Cohn, 2026, needs more optimization.
6 914 0.830158153221 Henry Cohn, 2026, needs more optimization.
6 915 0.830454413579 Henry Cohn, 2026, needs more optimization.
6 916 0.830458509501 Henry Cohn, 2026, needs more optimization.
6 917 0.830458673834 Henry Cohn, 2026, needs more optimization.
6 918 0.830465660111 Henry Cohn, 2026, needs more optimization.
6 919 0.830489481641 Henry Cohn, 2026, needs more optimization.
6 920 0.830605343732 Henry Cohn, 2026, needs more optimization.
6 921 0.830624305438 Henry Cohn, 2026, needs more optimization.
6 922 0.830628412019 Henry Cohn, 2026, needs more optimization.
6 923 0.830744377043 Henry Cohn, 2026, needs more optimization.
6 924 0.830750640122 Henry Cohn, 2026, needs more optimization.
6 925 0.830776739144 Henry Cohn, 2026, needs more optimization.
6 926 0.830846893427 Henry Cohn, 2026, needs more optimization.
6 927 0.831057446491 Henry Cohn, 2026, needs more optimization.
6 928 0.831083094582 Henry Cohn, 2026, needs more optimization.
6 929 0.831188231095 Henry Cohn, 2026, needs more optimization.
6 930 0.831220785576 Henry Cohn, 2026, needs more optimization.
6 933 0.831293024652 Henry Cohn, 2026, needs more optimization.
6 934 0.831295490424 Henry Cohn, 2026, needs more optimization.
6 935 0.831328004617 Henry Cohn, 2026, needs more optimization.
6 936 0.831350650634 Henry Cohn, 2026, needs more optimization.
6 937 0.831409498058 Henry Cohn, 2026, needs more optimization.
6 938 0.831439157633 Henry Cohn, 2026, needs more optimization.
6 941 0.831700755705 Henry Cohn, 2026, needs more optimization.
6 942 0.831753772704 Henry Cohn, 2026, needs more optimization.
6 943 0.831777887566 Henry Cohn, 2026, needs more optimization.
6 945 0.831892402831 Henry Cohn, 2026, needs more optimization.
6 946 0.831909934495 Henry Cohn, 2026, needs more optimization.
6 947 0.831959538466 Henry Cohn, 2026, needs more optimization.
6 948 0.832014328970 Henry Cohn, 2026, needs more optimization.
6 949 0.832056952947 Henry Cohn, 2026, needs more optimization.
6 950 0.832057627773 Henry Cohn, 2026, needs more optimization.
6 951 0.832161742815 Henry Cohn, 2026, needs more optimization.
6 952 0.832210293234 Henry Cohn, 2026, needs more optimization.
6 953 0.832211226788 Henry Cohn, 2026, needs more optimization.
6 954 0.832227243910 Henry Cohn, 2026, needs more optimization.
6 955 0.832299517137 Henry Cohn, 2026, needs more optimization.
6 956 0.832313731674 Henry Cohn, 2026, needs more optimization.
6 957 0.832318649967 Henry Cohn, 2026, needs more optimization.
6 958 0.832328979817 Henry Cohn, 2026, needs more optimization.
6 959 0.832425338336 Henry Cohn, 2026, needs more optimization.
6 960 0.832468873899 Henry Cohn, 2026, needs more optimization.
6 961 0.832485912198 Henry Cohn, 2026, needs more optimization.
6 962 0.832516605248 Henry Cohn, 2026, needs more optimization.
6 963 0.832571608044 Henry Cohn, 2026, needs more optimization.
6 964 0.832633918400 Henry Cohn, 2026, needs more optimization.
6 965 0.832706120119 Henry Cohn, 2026, needs more optimization.
6 966 0.832727865772 Henry Cohn, 2026, needs more optimization.
6 967 0.832759489927 Henry Cohn, 2026, needs more optimization.
6 968 0.832827583831 Henry Cohn, 2026, needs more optimization.
6 969 0.832840452611 Henry Cohn, 2026, needs more optimization.
6 970 0.832871953958 Henry Cohn, 2026, needs more optimization.
6 971 0.832880435189 Henry Cohn, 2026, needs more optimization.
6 972 0.832901432666 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
6 993 0.833363912644 Henry Cohn, 2026, needs more optimization.
6 994 0.833365378265 Henry Cohn, 2026, needs more optimization.
6 996 0.833367405367 Henry Cohn, 2026, needs more optimization.
6 997 0.833647128048 Henry Cohn, 2026, needs more optimization.
6 1000 0.835135797006 Henry Cohn, 2026, needs more optimization.
6 1002 0.836781118648 Henry Cohn, 2026, needs more optimization.
6 1003 0.837061554497 Henry Cohn, 2026, needs more optimization.
6 1004 0.837084813864 Henry Cohn, 2026, needs more optimization.
6 1005 0.837126736617 Henry Cohn, 2026, needs more optimization.
6 1006 0.837259049999 Henry Cohn, 2026, needs more optimization.
6 1007 0.837328381191 Henry Cohn, 2026, needs more optimization.
6 1008 0.837393643211 Henry Cohn, 2026, needs more optimization.
6 1009 0.837502723603 Henry Cohn, 2026, needs more optimization.
6 1010 0.837627226101 Henry Cohn, 2026, needs more optimization.
6 1011 0.837643368629 Henry Cohn, 2026, needs more optimization.
6 1012 0.837645667890 Henry Cohn, 2026, needs more optimization.
6 1013 0.837788745013 Henry Cohn, 2026, needs more optimization.
6 1014 0.837809886773 Henry Cohn, 2026, needs more optimization.
6 1015 0.837912866088 Henry Cohn, 2026, needs more optimization.
6 1016 0.837926127786 Henry Cohn, 2026, needs more optimization.
6 1017 0.837935866803 Henry Cohn, 2026, needs more optimization.
6 1018 0.838088425904 Henry Cohn, 2026, needs more optimization.
6 1019 0.838128826551 Henry Cohn, 2026, needs more optimization.
6 1020 0.838323318397 Henry Cohn, 2026, needs more optimization.
6 1021 0.838338012976 Henry Cohn, 2026, needs more optimization.
6 1022 0.838396909313 Henry Cohn, 2026, needs more optimization.
6 1023 0.838510633068 Henry Cohn, 2026, needs more optimization.
6 1024 0.838621068075 Henry Cohn, 2026, needs more optimization.
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 0.403217495108 Henry Cohn, 2025.
7 60 0.407983464085 Henry Cohn, 2025.
7 61 0.412356098716 Henry Cohn, 2024.
7 62 0.414307063597 Henry Cohn, 2026.
7 63 0.415390831033 Henry Cohn, 2025.
7 64 0.420197073744 Henry Cohn, 2025.
7 67 0.421258543571 Henry Cohn, 2024.
622⁢x3−771⁢x2+288⁢x−31
7 68 0.427637413235 Henry Cohn, 2026.
7 69 0.428316243154 Henry Cohn, 2026.
7 70 0.428552368060 Henry Cohn, 2026.
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 0.452754163206 Henry Cohn, 2026.
7 80 0.453887992064 Henry Cohn, 2024.
7 81 0.458141126431 Henry Cohn, 2026.
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, needs more optimization.
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.
7 89 0.474346016410 Henry Cohn, 2026, needs more optimization.
7 90 0.475294477919 Henry Cohn, 2024.
7 91 0.477365257014 Henry Cohn, 2026.
7 92 0.480306853225 Henry Cohn, 2025.
7 93 0.481951376999 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, 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 0.482651330945 Henry Cohn, 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 0.493009413613 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, 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 0.494411933135 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 101 0.495175424440 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 102 0.496162296397 Henry Cohn, 2026.
7 103 0.496896036864 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 104 0.497420372222 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 105 0.497982353835 Henry Cohn, 2026, needs more optimization.
7 106 0.498675447307 Henry Cohn, 2026.
7 107 0.499117181197 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 108 0.499653601154 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
7 109 0.499942084085 Henry Cohn, 2026, needs more optimization.
7 110 0.499971062486 Henry Cohn, 2026, needs more optimization.
7 111 0.499999905718 Henry Cohn, 2026, needs more optimization.
7 112 0.499999966952 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 0.518758185595 Henry Cohn, 2026.
7 130 0.518780653650 Henry Cohn, 2026, needs more optimization.
7 132 0.519150519284 Henry Cohn, 2026, needs more optimization.
7 133 0.519150710152 Henry Cohn, 2026, needs more optimization.
7 134 0.519150872947 Henry Cohn, 2026, needs more optimization.
7 135 0.519151139898 Henry Cohn, 2026, needs more optimization.
7 136 0.519153914324 Henry Cohn, 2026, needs more optimization.
7 137 0.519751518195 Henry Cohn, 2024.
7 138 0.527218738805 Henry Cohn, 2025.
7 140 0.531593984520 Henry Cohn, 2026, needs more optimization.
7 141 0.531594793681 Henry Cohn, 2026, needs more optimization.
7 142 0.531596315415 Henry Cohn, 2026, needs more optimization.
7 144 0.531669019056 Henry Cohn, 2026, needs more optimization.
7 145 0.532652487837 Henry Cohn, 2026, needs more optimization.
7 146 0.532826669292 Henry Cohn, 2026, needs more optimization.
7 147 0.533479772596 Henry Cohn, 2024.
7 148 0.533995828316 Henry Cohn, 2026.
7 149 0.546227181856 Henry Cohn, 2026, needs more optimization.
7 150 0.546227582205 Henry Cohn, 2026, needs more optimization.
7 151 0.546227856496 Henry Cohn, 2026, needs more optimization.
7 152 0.546228258121 Henry Cohn, 2026, needs more optimization.
7 153 0.546267350788 Henry Cohn, 2026, needs more optimization.
7 154 0.546280794074 Henry Cohn, 2026, needs more optimization.
7 155 0.546473189456 Henry Cohn, 2026, needs more optimization.
7 156 0.552236855912 Henry Cohn, 2026, needs more optimization.
7 157 0.557007103040 Henry Cohn, 2026, needs more optimization.
7 158 0.559632133428 Henry Cohn, 2026, needs more optimization.
7 159 0.559641381228 Henry Cohn, 2026, needs more optimization.
7 160 0.560412786814 Henry Cohn, 2026, needs more optimization.
7 161 0.560413041208 Henry Cohn, 2026, needs more optimization.
7 163 0.561660700028 Henry Cohn, 2026, needs more optimization.
7 168 0.561688600449 Henry Cohn, 2026, needs more optimization.
7 169 0.563583093519 Henry Cohn, 2026, needs more optimization.
7 170 0.563591813282 Henry Cohn, 2026, needs more optimization.
7 171 0.568977920982 Henry Cohn, 2026, needs more optimization.
7 173 0.569971766828 Henry Cohn, 2026, needs more optimization.
7 174 0.569971767326 Henry Cohn, 2026, needs more optimization.
7 175 0.569971783813 Henry Cohn, 2026, needs more optimization.
7 176 0.570443839478 Henry Cohn, 2026, needs more optimization.
7 177 0.570453557788 Henry Cohn, 2026, needs more optimization.
7 178 0.570455793860 Henry Cohn, 2026, needs more optimization.
7 179 0.570549023628 Henry Cohn, 2026, needs more optimization.
7 180 0.570549077585 Henry Cohn, 2026, needs more optimization.
7 181 0.573146522494 Henry Cohn, 2026, needs more optimization.
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 0.587474761505 Henry Cohn, 2026, needs more optimization.
7 184 0.589765669975 Henry Cohn, 2026, needs more optimization.
7 198 0.590112298788 Henry Cohn, 2026.
19⁢x3−9⁢x2−3⁢x+1
7 199 0.592916104634 Henry Cohn, 2026, needs more optimization.
7 200 0.595556314607 Henry Cohn, 2026, needs more optimization.
7 201 0.596859214076 Henry Cohn, 2026, needs more optimization.
7 202 0.599150165066 Henry Cohn, 2026, needs more optimization.
7 203 0.600869593387 Henry Cohn, 2026, needs more optimization.
7 204 0.601298787053 Henry Cohn, 2026, needs more optimization.
7 205 0.602646088030 Henry Cohn, 2026, needs more optimization.
7 206 0.603315233274 Henry Cohn, 2026, needs more optimization.
7 207 0.603917905149 Henry Cohn, 2026, needs more optimization.
7 208 0.606759460125 Henry Cohn, 2026, needs more optimization.
7 209 0.608562396638 Henry Cohn, 2026, needs more optimization.
7 210 0.610998977224 Henry Cohn, 2026, needs more optimization.
7 211 0.612974075862 Henry Cohn, 2026, needs more optimization.
7 212 0.614995333247 Henry Cohn, 2026, needs more optimization.
7 213 0.615953944564 Henry Cohn, 2026, needs more optimization.
7 214 0.617517264250 Henry Cohn, 2026, needs more optimization.
7 215 0.618366659977 Henry Cohn, 2026, needs more optimization.
7 216 0.619532430993 Henry Cohn, 2026, needs more optimization.
7 217 0.620461647900 Henry Cohn, 2026, needs more optimization.
7 218 0.621368072363 Henry Cohn, 2024, needs more optimization.
7 219 0.621875887342 Henry Cohn, 2026, needs more optimization.
7 220 0.622558823025 Henry Cohn, 2026, needs more optimization.
7 221 0.623342126081 Henry Cohn, 2026, needs more optimization.
7 222 0.624330387165 Henry Cohn, 2026, needs more optimization.
7 223 0.624821718091 Henry Cohn, 2026, needs more optimization.
7 224 0.625180925072 Henry Cohn, 2026, needs more optimization.
7 225 0.625872658846 Henry Cohn, 2026, needs more optimization.
7 226 0.627125280327 Henry Cohn, 2026, needs more optimization.
7 227 0.627334879096 Henry Cohn, 2026, needs more optimization.
7 228 0.628052208750 Henry Cohn, 2026, needs more optimization.
7 229 0.629152872657 Henry Cohn, 2026, needs more optimization.
7 230 0.629647636488 Henry Cohn, 2026, needs more optimization.
7 231 0.630481427611 Henry Cohn, 2026, needs more optimization.
7 232 0.631246414829 Henry Cohn, 2026, needs more optimization.
7 233 0.631901836958 Henry Cohn, 2024, needs more optimization.
7 234 0.632516489950 Henry Cohn, 2026, needs more optimization.
7 235 0.633010012337 Henry Cohn, 2026, needs more optimization.
7 236 0.633843322950 Henry Cohn, 2026, needs more optimization.
7 237 0.634225436786 Henry Cohn, 2026, needs more optimization.
7 238 0.634654771842 Henry Cohn, 2026, needs more optimization.
7 239 0.635356766795 Henry Cohn, 2024, needs more optimization.
7 240 0.635658800258 Henry Cohn, 2026, needs more optimization.
7 241 0.636573067660 Henry Cohn, 2026, needs more optimization.
7 242 0.636910879847 Henry Cohn, 2026, needs more optimization.
7 243 0.637505092172 Henry Cohn, 2026, needs more optimization.
7 244 0.638073628325 Henry Cohn, 2026, needs more optimization.
7 245 0.638570041526 Henry Cohn, 2026, needs more optimization.
7 246 0.638764527534 Henry Cohn, 2026, needs more optimization.
7 247 0.639330027209 Henry Cohn, 2026, needs more optimization.
7 248 0.640032640832 Henry Cohn, 2026, needs more optimization.
7 249 0.640342667067 Henry Cohn, 2026, needs more optimization.
7 250 0.640818424676 Henry Cohn, 2026, needs more optimization.
7 251 0.641149500609 Henry Cohn, 2026, needs more optimization.
7 252 0.641609778287 Henry Cohn, 2026, needs more optimization.
7 253 0.641862941630 Henry Cohn, 2026, needs more optimization.
7 254 0.642223452624 Henry Cohn, 2026, needs more optimization.
7 255 0.642913498928 Henry Cohn, 2026, needs more optimization.
7 256 0.643605205738 Henry Cohn, 2026, needs more optimization.
7 257 0.644259631314 Henry Cohn, 2026, needs more optimization.
7 258 0.644638594093 Henry Cohn, 2026, needs more optimization.
7 259 0.645124496926 Henry Cohn, 2026, needs more optimization.
7 260 0.645626516686 Henry Cohn, 2026, needs more optimization.
7 261 0.645658195687 Henry Cohn, 2026, needs more optimization.
7 262 0.646033877885 Henry Cohn, 2026, needs more optimization.
7 263 0.646756819710 Henry Cohn, 2026, needs more optimization.
7 264 0.647297735912 Henry Cohn, 2026, needs more optimization.
7 265 0.648068259133 Henry Cohn, 2026, needs more optimization.
7 266 0.648347731329 Henry Cohn, 2026, needs more optimization.
7 267 0.648838548270 Henry Cohn, 2026, needs more optimization.
7 268 0.649116287261 Henry Cohn, 2026, needs more optimization.
7 269 0.649436293310 Henry Cohn, 2026, needs more optimization.
7 270 0.649744577381 Henry Cohn, 2026, needs more optimization.
7 271 0.650140197639 Henry Cohn, 2026, needs more optimization.
7 272 0.650471890777 Henry Cohn, 2026, needs more optimization.
7 273 0.650888925789 Henry Cohn, 2026, needs more optimization.
7 274 0.651364224153 Henry Cohn, 2026, needs more optimization.
7 275 0.651639755753 Henry Cohn, 2026, needs more optimization.
7 276 0.651930717104 Henry Cohn, 2026, needs more optimization.
7 277 0.652290236435 Henry Cohn, 2026, needs more optimization.
7 278 0.653059682879 Henry Cohn, 2026, needs more optimization.
7 279 0.653531633329 Henry Cohn, 2026, needs more optimization.
7 280 0.653848191136 Henry Cohn, 2026, needs more optimization.
7 281 0.654246811179 Henry Cohn, 2026, needs more optimization.
7 282 0.654853115626 Henry Cohn, 2026, needs more optimization.
7 283 0.655301527693 Henry Cohn, 2026, needs more optimization.
7 284 0.655832071230 Henry Cohn, 2026, needs more optimization.
7 285 0.656366664944 Henry Cohn, 2026, needs more optimization.
7 286 0.656835658238 Henry Cohn, 2026, needs more optimization.
7 287 0.657327357906 Henry Cohn, 2026, needs more optimization.
7 288 0.657534725660 Henry Cohn, 2026, needs more optimization.
7 289 0.657971451345 Henry Cohn, 2026, needs more optimization.
7 290 0.658434278219 Henry Cohn, 2026, needs more optimization.
7 291 0.658827631103 Henry Cohn, 2026, needs more optimization.
7 292 0.659216517480 Henry Cohn, 2026, needs more optimization.
7 293 0.659660586872 Henry Cohn, 2026, needs more optimization.
7 294 0.660002582538 Henry Cohn, 2026, needs more optimization.
7 295 0.660440880927 Henry Cohn, 2026, needs more optimization.
7 296 0.660903714935 Henry Cohn, 2026, needs more optimization.
7 297 0.661202570465 Henry Cohn, 2026, needs more optimization.
7 298 0.661736502396 Henry Cohn, 2026, needs more optimization.
7 299 0.662352039409 Henry Cohn, 2026, needs more optimization.
7 300 0.662622691641 Henry Cohn, 2026, needs more optimization.
7 301 0.662928432550 Henry Cohn, 2026, needs more optimization.
7 302 0.663251996083 Henry Cohn, 2026, needs more optimization.
7 303 0.663934324988 Henry Cohn, 2026, needs more optimization.
7 304 0.664312920618 Henry Cohn, 2026, needs more optimization.
7 305 0.664327711308 Henry Cohn, 2026, needs more optimization.
7 306 0.664476113843 Henry Cohn, 2026, needs more optimization.
7 307 0.665082951854 Henry Cohn, 2026, needs more optimization.
7 308 0.665456388324 Henry Cohn, 2026, needs more optimization.
7 309 0.665885430976 Henry Cohn, 2026, needs more optimization.
7 310 0.666282317135 Henry Cohn, 2026, needs more optimization.
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 0.668524326903 Henry Cohn, 2026, needs more optimization.
7 360 0.669369176976 Henry Cohn, 2026, needs more optimization.
7 361 0.669636059194 Henry Cohn, 2026, needs more optimization.
7 362 0.670193186795 Henry Cohn, 2026, needs more optimization.
7 363 0.670771448452 Henry Cohn, 2026, needs more optimization.
7 364 0.671305925980 Henry Cohn, 2026, needs more optimization.
7 365 0.671896212061 Henry Cohn, 2026, needs more optimization.
7 366 0.672437792710 Henry Cohn, 2026, needs more optimization.
7 367 0.673024686965 Henry Cohn, 2026, needs more optimization.
7 368 0.673280780824 Henry Cohn, 2026, needs more optimization.
7 370 0.674243476576 Henry Cohn, 2026, needs more optimization.
7 371 0.675092810847 Henry Cohn, 2026, needs more optimization.
7 372 0.675570449427 Henry Cohn, 2026, needs more optimization.
7 373 0.676090965668 Henry Cohn, 2026, needs more optimization.
7 374 0.676561050089 Henry Cohn, 2026, needs more optimization.
7 375 0.676945482184 Henry Cohn, 2026, needs more optimization.
7 376 0.676954812548 Henry Cohn, 2026, needs more optimization.
7 377 0.676962918790 Henry Cohn, 2026, needs more optimization.
7 378 0.676971068168 Henry Cohn, 2026, needs more optimization.
7 379 0.676983935489 Henry Cohn, 2026, needs more optimization.
7 380 0.677007004948 Henry Cohn, 2026, needs more optimization.
7 381 0.677317017576 Henry Cohn, 2026, needs more optimization.
7 382 0.677324729288 Henry Cohn, 2026, needs more optimization.
7 383 0.677802744090 Henry Cohn, 2026, needs more optimization.
7 384 0.678294271031 Henry Cohn, 2026, needs more optimization.
7 385 0.678954841343 Henry Cohn, 2026, needs more optimization.
7 386 0.679617103758 Henry Cohn, 2026, needs more optimization.
7 389 0.679836915034 Henry Cohn, 2026, needs more optimization.
7 390 0.680252267761 Henry Cohn, 2026, needs more optimization.
7 391 0.680650954431 Henry Cohn, 2026, needs more optimization.
7 392 0.680673257584 Henry Cohn, 2026, needs more optimization.
7 393 0.680682539965 Henry Cohn, 2026, needs more optimization.
7 394 0.680942128478 Henry Cohn, 2026, needs more optimization.
7 395 0.681008172564 Henry Cohn, 2026, needs more optimization.
7 396 0.681298110451 Henry Cohn, 2026, needs more optimization.
7 397 0.681755906556 Henry Cohn, 2026, needs more optimization.
7 398 0.682502647524 Henry Cohn, 2026, needs more optimization.
7 399 0.682793708546 Henry Cohn, 2026, needs more optimization.
7 400 0.682933111282 Henry Cohn, 2026, needs more optimization.
7 402 0.682941821821 Henry Cohn, 2026, needs more optimization.
7 403 0.683001212337 Henry Cohn, 2026, needs more optimization.
7 404 0.683041758485 Henry Cohn, 2026, needs more optimization.
7 405 0.683046510718 Henry Cohn, 2026, needs more optimization.
7 406 0.683141272435 Henry Cohn, 2026, needs more optimization.
7 407 0.683148503205 Henry Cohn, 2026, needs more optimization.
7 408 0.683335533823 Henry Cohn, 2026, needs more optimization.
7 409 0.683619351606 Henry Cohn, 2026, needs more optimization.
7 410 0.683623149849 Henry Cohn, 2026, needs more optimization.
7 411 0.683861082041 Henry Cohn, 2026, needs more optimization.
7 412 0.684038862233 Henry Cohn, 2026, needs more optimization.
7 413 0.684619295145 Henry Cohn, 2026, needs more optimization.
7 414 0.685108490407 Henry Cohn, 2026, needs more optimization.
7 415 0.685609662034 Henry Cohn, 2026, needs more optimization.
7 416 0.685958869096 Henry Cohn, 2026, needs more optimization.
7 417 0.686076958906 Henry Cohn, 2026, needs more optimization.
7 418 0.686613090897 Henry Cohn, 2026, needs more optimization.
7 419 0.687008593046 Henry Cohn, 2026, needs more optimization.
7 420 0.687210532556 Henry Cohn, 2026, needs more optimization.
7 421 0.687725007211 Henry Cohn, 2026, needs more optimization.
7 422 0.688496699185 Henry Cohn, 2026, needs more optimization.
7 423 0.688719722271 Henry Cohn, 2026, needs more optimization.
7 424 0.689140764907 Henry Cohn, 2026, needs more optimization.
7 425 0.689433284976 Henry Cohn, 2026, needs more optimization.
7 426 0.689784499587 Henry Cohn, 2026, needs more optimization.
7 427 0.690374973800 Henry Cohn, 2026, needs more optimization.
7 428 0.690617404850 Henry Cohn, 2026, needs more optimization.
7 429 0.691166528917 Henry Cohn, 2026, needs more optimization.
7 430 0.691275173208 Henry Cohn, 2026, needs more optimization.
7 431 0.691660903250 Henry Cohn, 2026, needs more optimization.
7 432 0.692336343523 Henry Cohn, 2026, needs more optimization.
7 433 0.692801152687 Henry Cohn, 2026, needs more optimization.
7 434 0.693527512451 Henry Cohn, 2026, needs more optimization.
7 435 0.693958507510 Henry Cohn, 2026, needs more optimization.
7 436 0.694492129074 Henry Cohn, 2026, needs more optimization.
7 437 0.694858249402 Henry Cohn, 2026, needs more optimization.
7 438 0.695167072802 Henry Cohn, 2026, needs more optimization.
7 439 0.695581205727 Henry Cohn, 2026, needs more optimization.
7 440 0.696109284839 Henry Cohn, 2026, needs more optimization.
7 441 0.696691806944 Henry Cohn, 2026, needs more optimization.
7 442 0.697056956521 Henry Cohn, 2026, needs more optimization.
7 443 0.697323940651 Henry Cohn, 2026, needs more optimization.
7 444 0.697513754370 Henry Cohn, 2026, needs more optimization.
7 445 0.697603321102 Henry Cohn, 2026, needs more optimization.
7 446 0.697895045585 Henry Cohn, 2026, needs more optimization.
7 447 0.698440681688 Henry Cohn, 2026, needs more optimization.
7 448 0.698785775641 Henry Cohn, 2026, needs more optimization.
7 449 0.699262996471 Henry Cohn, 2026, needs more optimization.
7 450 0.699817192096 Henry Cohn, 2026, needs more optimization.
7 451 0.700098625524 Henry Cohn, 2026, needs more optimization.
7 452 0.700502205953 Henry Cohn, 2026, needs more optimization.
7 453 0.700743169364 Henry Cohn, 2026, needs more optimization.
7 454 0.701074999453 Henry Cohn, 2026, needs more optimization.
7 455 0.701428382618 Henry Cohn, 2026, needs more optimization.
7 456 0.701667709031 Henry Cohn, 2026, needs more optimization.
7 457 0.702146309123 Henry Cohn, 2026, needs more optimization.
7 458 0.702509981339 Henry Cohn, 2026, needs more optimization.
7 459 0.702806650879 Henry Cohn, 2026, needs more optimization.
7 460 0.703013864729 Henry Cohn, 2026, needs more optimization.
7 461 0.703578158687 Henry Cohn, 2026, needs more optimization.
7 462 0.703958010037 Henry Cohn, 2026, needs more optimization.
7 463 0.704353211530 Henry Cohn, 2026, needs more optimization.
7 464 0.704635908723 Henry Cohn, 2026, needs more optimization.
7 465 0.704792182572 Henry Cohn, 2026, needs more optimization.
7 466 0.705198131318 Henry Cohn, 2026, needs more optimization.
7 467 0.705391645653 Henry Cohn, 2026, needs more optimization.
7 468 0.705732590968 Henry Cohn, 2026, needs more optimization.
7 469 0.705798778316 Henry Cohn, 2026, needs more optimization.
7 470 0.705939959676 Henry Cohn, 2026, needs more optimization.
7 471 0.706014642770 Henry Cohn, 2026, needs more optimization.
7 472 0.706130695876 Henry Cohn, 2026, needs more optimization.
7 473 0.706251649294 Henry Cohn, 2026, needs more optimization.
7 474 0.706527333248 Henry Cohn, 2026, needs more optimization.
7 475 0.706857986790 Henry Cohn, 2026, needs more optimization.
7 476 0.706906522823 Henry Cohn, 2026, needs more optimization.
7 477 0.707068676912 Henry Cohn, 2026, needs more optimization.
7 478 0.707486241008 Henry Cohn, 2026, needs more optimization.
7 479 0.707544991449 Henry Cohn, 2026, needs more optimization.
7 480 0.707554230169 Henry Cohn, 2026, needs more optimization.
7 481 0.707585558165 Henry Cohn, 2026, needs more optimization.
7 482 0.707644081350 Henry Cohn, 2026, needs more optimization.
7 483 0.707647246457 Henry Cohn, 2026, needs more optimization.
7 484 0.707650454919 Henry Cohn, 2026, needs more optimization.
7 485 0.707674786424 Henry Cohn, 2026, needs more optimization.
7 486 0.707838234079 Henry Cohn, 2026, needs more optimization.
7 487 0.707870459603 Henry Cohn, 2026, needs more optimization.
7 488 0.707937250890 Henry Cohn, 2026, needs more optimization.
7 489 0.708004294995 Henry Cohn, 2026, needs more optimization.
7 490 0.708060377691 Henry Cohn, 2026, needs more optimization.
7 491 0.708195479672 Henry Cohn, 2026, needs more optimization.
7 492 0.708198469289 Henry Cohn, 2026, needs more optimization.
7 493 0.708444310768 Henry Cohn, 2026, needs more optimization.
7 494 0.708880531035 Henry Cohn, 2026, needs more optimization.
7 495 0.709124579342 Henry Cohn, 2026, needs more optimization.
7 496 0.709126759081 Henry Cohn, 2026, needs more optimization.
7 497 0.709172126178 Henry Cohn, 2026, needs more optimization.
7 498 0.709283741995 Henry Cohn, 2026, needs more optimization.
7 499 0.709979518373 Henry Cohn, 2026, needs more optimization.
7 500 0.710379371725 Henry Cohn, 2026, needs more optimization.
7 501 0.710424664461 Henry Cohn, 2026, needs more optimization.
7 502 0.710437854453 Henry Cohn, 2026, needs more optimization.
7 503 0.710510158800 Henry Cohn, 2026, needs more optimization.
7 504 0.710939556118 Henry Cohn, 2026, needs more optimization.
7 505 0.710942779402 Henry Cohn, 2026, needs more optimization.
7 506 0.710991934632 Henry Cohn, 2026, needs more optimization.
7 507 0.711087761237 Henry Cohn, 2026, needs more optimization.
7 508 0.711116852770 Henry Cohn, 2026, needs more optimization.
7 509 0.711211413000 Henry Cohn, 2026, needs more optimization.
7 510 0.711306759638 Henry Cohn, 2026, needs more optimization.
7 511 0.711380962143 Henry Cohn, 2026, needs more optimization.
7 512 0.711476617059 Henry Cohn, 2026, needs more optimization.
7 513 0.712181112718 Henry Cohn, 2026, needs more optimization.
7 514 0.712182453000 Henry Cohn, 2026, needs more optimization.
7 515 0.712185297265 Henry Cohn, 2026, needs more optimization.
7 516 0.712196134135 Henry Cohn, 2026, needs more optimization.
7 517 0.712224107602 Henry Cohn, 2026, needs more optimization.
7 518 0.712359084243 Henry Cohn, 2026, needs more optimization.
7 519 0.712389162151 Henry Cohn, 2026, needs more optimization.
7 520 0.712564682929 Henry Cohn, 2026, needs more optimization.
7 521 0.713139567790 Henry Cohn, 2026, needs more optimization.
7 522 0.713141696195 Henry Cohn, 2026, needs more optimization.
7 523 0.713145217784 Henry Cohn, 2026, needs more optimization.
7 524 0.713146462198 Henry Cohn, 2026, needs more optimization.
7 525 0.713148582590 Henry Cohn, 2026, needs more optimization.
7 526 0.713153451203 Henry Cohn, 2026, needs more optimization.
7 527 0.713157144601 Henry Cohn, 2026, needs more optimization.
7 528 0.713163458058 Henry Cohn, 2026, needs more optimization.
7 529 0.713173187322 Henry Cohn, 2026, needs more optimization.
7 530 0.713346272294 Henry Cohn, 2026, needs more optimization.
7 531 0.713409107826 Henry Cohn, 2026, needs more optimization.
7 532 0.713427269480 Henry Cohn, 2026, needs more optimization.
7 533 0.713462052699 Henry Cohn, 2026, needs more optimization.
7 534 0.713468716218 Henry Cohn, 2026, needs more optimization.
7 535 0.713500364073 Henry Cohn, 2026, needs more optimization.
7 536 0.713514414751 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 0.718298278468 Henry Cohn, 2026, needs more optimization.
7 634 0.720010215775 Henry Cohn, 2026, needs more optimization.
7 635 0.721183850801 Henry Cohn, 2026, needs more optimization.
7 636 0.722123928407 Henry Cohn, 2026, needs more optimization.
7 637 0.722908978400 Henry Cohn, 2026, needs more optimization.
7 638 0.723686956987 Henry Cohn, 2026, needs more optimization.
7 639 0.724499587198 Henry Cohn, 2026, needs more optimization.
7 640 0.724996131554 Henry Cohn, 2026, needs more optimization.
7 641 0.725515318614 Henry Cohn, 2026, needs more optimization.
7 642 0.726062360200 Henry Cohn, 2026, needs more optimization.
7 643 0.726419686186 Henry Cohn, 2026, needs more optimization.
7 644 0.726767117196 Henry Cohn, 2026, needs more optimization.
7 645 0.727072134418 Henry Cohn, 2026, needs more optimization.
7 646 0.727520096982 Henry Cohn, 2026, needs more optimization.
7 647 0.727899087191 Henry Cohn, 2026, needs more optimization.
7 648 0.728313923635 Henry Cohn, 2026, needs more optimization.
7 649 0.728646716928 Henry Cohn, 2026, needs more optimization.
7 650 0.729059260572 Henry Cohn, 2026, needs more optimization.
7 651 0.729305084691 Henry Cohn, 2026, needs more optimization.
7 652 0.729550487419 Henry Cohn, 2026, needs more optimization.
7 653 0.729789556133 Henry Cohn, 2026, needs more optimization.
7 654 0.729988802536 Henry Cohn, 2026, needs more optimization.
7 655 0.730241439541 Henry Cohn, 2026, needs more optimization.
7 656 0.730559992409 Henry Cohn, 2026, needs more optimization.
7 657 0.730813962744 Henry Cohn, 2026, needs more optimization.
7 658 0.731124097256 Henry Cohn, 2026, needs more optimization.
7 659 0.731373712588 Henry Cohn, 2026, needs more optimization.
7 660 0.731490849512 Henry Cohn, 2026, needs more optimization.
7 661 0.731870563661 Henry Cohn, 2026, needs more optimization.
7 662 0.732093874471 Henry Cohn, 2026, needs more optimization.
7 663 0.732308754339 Henry Cohn, 2026, needs more optimization.
7 664 0.732501362566 Henry Cohn, 2026, needs more optimization.
7 665 0.732902368392 Henry Cohn, 2026, needs more optimization.
7 666 0.733220652475 Henry Cohn, 2026, needs more optimization.
7 667 0.733498879536 Henry Cohn, 2026, needs more optimization.
7 668 0.733766249988 Henry Cohn, 2026, needs more optimization.
7 669 0.734023928351 Henry Cohn, 2026, needs more optimization.
7 670 0.734314293833 Henry Cohn, 2026, needs more optimization.
7 671 0.734592193720 Henry Cohn, 2026, needs more optimization.
7 672 0.734854843438 Henry Cohn, 2026, needs more optimization.
7 673 0.735102023732 Henry Cohn, 2026, needs more optimization.
7 674 0.735521894406 Henry Cohn, 2026, needs more optimization.
7 675 0.735696199599 Henry Cohn, 2026, needs more optimization.
7 676 0.735879550197 Henry Cohn, 2026, needs more optimization.
7 677 0.736132969679 Henry Cohn, 2026, needs more optimization.
7 678 0.736353938019 Henry Cohn, 2026, needs more optimization.
7 679 0.736587018803 Henry Cohn, 2026, needs more optimization.
7 680 0.736873070816 Henry Cohn, 2026, needs more optimization.
7 681 0.737102556390 Henry Cohn, 2026, needs more optimization.
7 682 0.737355833790 Henry Cohn, 2026, needs more optimization.
7 683 0.737505150320 Henry Cohn, 2026, needs more optimization.
7 684 0.737637782629 Henry Cohn, 2026, needs more optimization.
7 685 0.737765374423 Henry Cohn, 2026, needs more optimization.
7 686 0.737999171822 Henry Cohn, 2026, needs more optimization.
7 689 0.738006487092 Henry Cohn, 2026, needs more optimization.
7 697 0.738402688133 Henry Cohn, 2026, needs more optimization.
7 699 0.738554976661 Henry Cohn, 2026, needs more optimization.
7 700 0.738657133465 Henry Cohn, 2026, needs more optimization.
7 701 0.739122612842 Henry Cohn, 2026, needs more optimization.
7 702 0.739272024731 Henry Cohn, 2026, needs more optimization.
7 703 0.740104680715 Henry Cohn, 2026, needs more optimization.
7 704 0.740201617048 Henry Cohn, 2026, needs more optimization.
7 705 0.740256860292 Henry Cohn, 2026, needs more optimization.
7 706 0.740310979853 Henry Cohn, 2026, needs more optimization.
7 708 0.740425760489 Henry Cohn, 2026, needs more optimization.
7 709 0.740463993111 Henry Cohn, 2026, needs more optimization.
7 711 0.740855678415 Henry Cohn, 2026, needs more optimization.
7 714 0.740868504665 Henry Cohn, 2026, needs more optimization.
7 729 0.744908579490 Henry Cohn, 2026, needs more optimization.
7 730 0.744912160343 Henry Cohn, 2026, needs more optimization.
7 731 0.744939353969 Henry Cohn, 2026, needs more optimization.
7 733 0.744940052492 Henry Cohn, 2026, needs more optimization.
7 734 0.749202398928 Henry Cohn, 2026, needs more optimization.
7 735 0.749332563885 Henry Cohn, 2026, needs more optimization.
7 736 0.749515289401 Henry Cohn, 2026, needs more optimization.
7 737 0.749719050195 Henry Cohn, 2026, needs more optimization.
7 738 0.749861742045 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 0.755836250811 Henry Cohn, 2026, needs more optimization.
7 884 0.766415181652 Henry Cohn, 2026, needs more optimization.
7 885 0.766516240414 Henry Cohn, 2026, needs more optimization.
7 886 0.766523286556 Henry Cohn, 2026, needs more optimization.
7 887 0.766848310278 Henry Cohn, 2026, needs more optimization.
7 889 0.766879514972 Henry Cohn, 2026, needs more optimization.
7 890 0.766995666071 Henry Cohn, 2026, needs more optimization.
7 891 0.767035171632 Henry Cohn, 2026, needs more optimization.
7 892 0.767226651273 Henry Cohn, 2026, needs more optimization.
7 893 0.767228338705 Henry Cohn, 2026, needs more optimization.
7 894 0.767247001729 Henry Cohn, 2026, needs more optimization.
7 895 0.767387374914 Henry Cohn, 2026, needs more optimization.
7 896 0.767398491459 Henry Cohn, 2026, needs more optimization.
7 897 0.767668205074 Henry Cohn, 2026, needs more optimization.
7 898 0.767729644758 Henry Cohn, 2026, needs more optimization.
7 899 0.767733011695 Henry Cohn, 2026, needs more optimization.
7 900 0.767774703327 Henry Cohn, 2026, needs more optimization.
7 901 0.767979135229 Henry Cohn, 2026, needs more optimization.
7 902 0.767982225485 Henry Cohn, 2026, needs more optimization.
7 903 0.768100878988 Henry Cohn, 2026, needs more optimization.
7 904 0.768134077399 Henry Cohn, 2026, needs more optimization.
7 905 0.768344090905 Henry Cohn, 2026, needs more optimization.
7 906 0.768384689590 Henry Cohn, 2026, needs more optimization.
7 907 0.768514203211 Henry Cohn, 2026, needs more optimization.
7 908 0.768575505757 Henry Cohn, 2026, needs more optimization.
7 909 0.768696913405 Henry Cohn, 2026, needs more optimization.
7 910 0.768726906670 Henry Cohn, 2026, needs more optimization.
7 911 0.768767032740 Henry Cohn, 2026, needs more optimization.
7 914 0.768921131989 Henry Cohn, 2026, needs more optimization.
7 915 0.769146491622 Henry Cohn, 2026, needs more optimization.
7 917 0.769176920289 Henry Cohn, 2026, needs more optimization.
7 918 0.769527568989 Henry Cohn, 2026, needs more optimization.
7 919 0.769531855557 Henry Cohn, 2026, needs more optimization.
7 920 0.769696503342 Henry Cohn, 2026, needs more optimization.
7 921 0.769698096606 Henry Cohn, 2026, needs more optimization.
7 922 0.769875603159 Henry Cohn, 2026, needs more optimization.
7 923 0.769895241506 Henry Cohn, 2026, needs more optimization.
7 924 0.769919758491 Henry Cohn, 2026, needs more optimization.
7 925 0.769960195618 Henry Cohn, 2026, needs more optimization.
7 926 0.769994747633 Henry Cohn, 2026, needs more optimization.
7 927 0.770118986682 Henry Cohn, 2026, needs more optimization.
7 929 0.770227024590 Henry Cohn, 2026, needs more optimization.
7 930 0.770259920530 Henry Cohn, 2026, needs more optimization.
7 931 0.770534811753 Henry Cohn, 2026, needs more optimization.
7 932 0.770556295312 Henry Cohn, 2026, needs more optimization.
7 933 0.770580793563 Henry Cohn, 2026, needs more optimization.
7 934 0.770626503767 Henry Cohn, 2026, needs more optimization.
7 935 0.770765780812 Henry Cohn, 2026, needs more optimization.
7 936 0.770895281273 Henry Cohn, 2026, needs more optimization.
7 937 0.770895331526 Henry Cohn, 2026, needs more optimization.
7 938 0.771126446230 Henry Cohn, 2026, needs more optimization.
7 939 0.771144465721 Henry Cohn, 2026, needs more optimization.
7 940 0.771186502750 Henry Cohn, 2026, needs more optimization.
7 941 0.771218861646 Henry Cohn, 2026, needs more optimization.
7 943 0.771354748169 Henry Cohn, 2026, needs more optimization.
7 944 0.771499371592 Henry Cohn, 2026, needs more optimization.
7 945 0.771511362324 Henry Cohn, 2026, needs more optimization.
7 946 0.771694558656 Henry Cohn, 2026, needs more optimization.
7 947 0.771723242449 Henry Cohn, 2026, needs more optimization.
7 948 0.771745218075 Henry Cohn, 2026, needs more optimization.
7 949 0.771756780691 Henry Cohn, 2026, needs more optimization.
7 950 0.771854651864 Henry Cohn, 2026, needs more optimization.
7 951 0.772076859033 Henry Cohn, 2026, needs more optimization.
7 952 0.772210457417 Henry Cohn, 2026, needs more optimization.
7 953 0.772218060623 Henry Cohn, 2026, needs more optimization.
7 954 0.772231753830 Henry Cohn, 2026, needs more optimization.
7 955 0.772542061754 Henry Cohn, 2026, needs more optimization.
7 956 0.772587902554 Henry Cohn, 2026, needs more optimization.
7 957 0.772597302979 Henry Cohn, 2026, needs more optimization.
7 958 0.772702183552 Henry Cohn, 2026, needs more optimization.
7 959 0.772722940838 Henry Cohn, 2026, needs more optimization.
7 961 0.772800638579 Henry Cohn, 2026, needs more optimization.
7 962 0.772903652314 Henry Cohn, 2026, needs more optimization.
7 963 0.773152167236 Henry Cohn, 2026, needs more optimization.
7 964 0.773176422482 Henry Cohn, 2026, needs more optimization.
7 965 0.773195761741 Henry Cohn, 2026, needs more optimization.
7 966 0.773207728656 Henry Cohn, 2026, needs more optimization.
7 967 0.773301361560 Henry Cohn, 2026, needs more optimization.
7 968 0.773514893619 Henry Cohn, 2026, needs more optimization.
7 969 0.773567924902 Henry Cohn, 2026, needs more optimization.
7 970 0.773584308302 Henry Cohn, 2026, needs more optimization.
7 971 0.773795937506 Henry Cohn, 2026, needs more optimization.
7 972 0.773823363435 Henry Cohn, 2026, needs more optimization.
7 973 0.773830638619 Henry Cohn, 2026, needs more optimization.
7 974 0.773906727324 Henry Cohn, 2026, needs more optimization.
7 975 0.774046143535 Henry Cohn, 2026, needs more optimization.
7 976 0.774173677511 Henry Cohn, 2026, needs more optimization.
7 977 0.774197102956 Henry Cohn, 2026, needs more optimization.
7 978 0.774220401095 Henry Cohn, 2026, needs more optimization.
7 979 0.774433829839 Henry Cohn, 2026, needs more optimization.
7 980 0.774461744225 Henry Cohn, 2026, needs more optimization.
7 981 0.774466255820 Henry Cohn, 2026, needs more optimization.
7 982 0.774495818164 Henry Cohn, 2026, needs more optimization.
7 983 0.774572076246 Henry Cohn, 2026, needs more optimization.
7 984 0.774742989510 Henry Cohn, 2026, needs more optimization.
7 985 0.774747370767 Henry Cohn, 2026, needs more optimization.
7 986 0.774770181472 Henry Cohn, 2026, needs more optimization.
7 987 0.774871634708 Henry Cohn, 2026, needs more optimization.
7 988 0.775037192668 Henry Cohn, 2026, needs more optimization.
7 989 0.775041461916 Henry Cohn, 2026, needs more optimization.
7 990 0.775228942883 Henry Cohn, 2026, needs more optimization.
7 991 0.775256641470 Henry Cohn, 2026, needs more optimization.
7 992 0.775419809778 Henry Cohn, 2026, needs more optimization.
7 993 0.775426420725 Henry Cohn, 2026, needs more optimization.
7 994 0.775444738374 Henry Cohn, 2026, needs more optimization.
7 995 0.775628224505 Henry Cohn, 2026, needs more optimization.
7 996 0.775667313429 Henry Cohn, 2026, needs more optimization.
7 997 0.775698619186 Henry Cohn, 2026, needs more optimization.
7 998 0.775752215057 Henry Cohn, 2026, needs more optimization.
7 999 0.775755362448 Henry Cohn, 2026, needs more optimization.
7 1000 0.775799290376 Henry Cohn, 2026, needs more optimization.
7 1001 0.775977005585 Henry Cohn, 2026, needs more optimization.
7 1002 0.775985252319 Henry Cohn, 2026, needs more optimization.
7 1003 0.776162814850 Henry Cohn, 2026, needs more optimization.
7 1004 0.776180768294 Henry Cohn, 2026, needs more optimization.
7 1005 0.776311685599 Henry Cohn, 2026, needs more optimization.
7 1006 0.776376075236 Henry Cohn, 2026, needs more optimization.
7 1007 0.776418054668 Henry Cohn, 2026, needs more optimization.
7 1009 0.776732345188 Henry Cohn, 2026, needs more optimization.
7 1010 0.776782652367 Henry Cohn, 2026, needs more optimization.
7 1012 0.776939636079 Henry Cohn, 2026, needs more optimization.
7 1013 0.777125715118 Henry Cohn, 2026, needs more optimization.
7 1014 0.777155265965 Henry Cohn, 2026, needs more optimization.
7 1015 0.777195850091 Henry Cohn, 2026, needs more optimization.
7 1016 0.777318619157 Henry Cohn, 2026, needs more optimization.
7 1017 0.777357532292 Henry Cohn, 2026, needs more optimization.
7 1018 0.777376286068 Henry Cohn, 2026, needs more optimization.
7 1019 0.777459122668 Henry Cohn, 2026, needs more optimization.
7 1020 0.777806979671 Henry Cohn, 2026, needs more optimization.
7 1021 0.777823328724 Henry Cohn, 2026, needs more optimization.
7 1022 0.777986944126 Henry Cohn, 2026, needs more optimization.
7 1023 0.777989432909 Henry Cohn, 2026, needs more optimization.
7 1024 0.778003501240 Henry Cohn, 2026, needs more optimization.
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 0.288883351523 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 0.306796780995 Henry Cohn, 2025.
8 49 0.310558546149 Henry Cohn, 2025.
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 0.332158951387 Henry Cohn, 2025.
8 58 0.332676598414 Henry Cohn, 2025.
8 59 0.333047687244 Henry Cohn, 2025.
8 60 0.333177612425 Henry Cohn, 2025.
8 61 0.333249870325 Henry Cohn, 2025.
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 0.348776902230 Henry Cohn, 2025.
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 0.380121614172 Henry Cohn, 2026.
8 76 0.383280469013 Henry Cohn, 2023.
8 77 0.386305789989 Henry Cohn, 2025.
8 78 0.387879817423 Henry Cohn, 2025.
8 79 0.395049514668 Henry Cohn, 2024.
8 80 0.396555611504 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, 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 0.409324629428 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, 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 0.414496555474 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, 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 0.421656007707 Henry Cohn, 2026, needs more optimization.
8 91 0.422013535027 Henry Cohn, 2026.
8 92 0.422534261314 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, 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 0.426308373208 Henry Cohn, 2026.
8 96 0.426714122324 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, 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 0.427518817396 Henry Cohn, 2026.
8 98 0.428413697863 Henry Cohn, 2026.
8 99 0.428528982799 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, 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 0.428568419326 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 101 0.428570746420 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, 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 0.447563989039 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, 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 0.448006674268 Henry Cohn, 2026.
8 117 0.451129724131 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
8 118 0.455245746618 Henry Cohn, 2026, needs more optimization.
8 119 0.460488108267 Henry Cohn, 2026.
8 120 0.461570019406 Henry Cohn, 2026.
8 121 0.461664940377 Henry Cohn, 2026, needs more optimization.
8 122 0.461856796790 Henry Cohn, 2026.
8 123 0.462136061318 Henry Cohn, 2026, needs more optimization.
8 124 0.462500724648 Henry Cohn, 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 0.466199226032 Henry Cohn, 2025.
8 138 0.467415586535 Henry Cohn, 2026, needs more optimization.
8 139 0.468650140381 Henry Cohn, 2026, needs more optimization.
8 140 0.470795661620 Henry Cohn, 2026, needs more optimization.
8 141 0.472528366055 Henry Cohn, 2026, needs more optimization.
8 142 0.476420919996 Henry Cohn, 2026, needs more optimization.
8 143 0.476461667302 Henry Cohn, 2026, needs more optimization.
8 144 0.482735508233 Henry Cohn, 2026, needs more optimization.
8 145 0.485584607974 Henry Cohn, 2026, needs more optimization.
8 146 0.488021120813 Henry Cohn, 2026, needs more optimization.
8 147 0.488153779972 Henry Cohn, 2026, needs more optimization.
8 148 0.488567643212 Henry Cohn, 2026, needs more optimization.
8 149 0.489638540911 Henry Cohn, 2026, needs more optimization.
8 150 0.489668963743 Henry Cohn, 2026, needs more optimization.
8 151 0.490671101615 Henry Cohn, 2026, needs more optimization.
8 152 0.491489893518 Henry Cohn, 2026, needs more optimization.
8 153 0.492432175451 Henry Cohn, 2026, needs more optimization.
8 154 0.492641314470 Henry Cohn, 2026, needs more optimization.
8 155 0.493019175242 Henry Cohn, 2026, needs more optimization.
8 156 0.493414697506 Henry Cohn, 2026, needs more optimization.
8 157 0.493605128037 Henry Cohn, 2026, needs more optimization.
8 158 0.494198185683 Henry Cohn, 2026, needs more optimization.
8 159 0.494356658392 Henry Cohn, 2026, needs more optimization.
8 160 0.495468765529 Henry Cohn, 2026, needs more optimization.
8 161 0.496373816120 Henry Cohn, 2026, needs more optimization.
8 162 0.496386229415 Henry Cohn, 2026, needs more optimization.
8 163 0.496832310478 Henry Cohn, 2026, needs more optimization.
8 164 0.497021056165 Henry Cohn, 2026, needs more optimization.
8 165 0.497155550396 Henry Cohn, 2026, needs more optimization.
8 166 0.497171138207 Henry Cohn, 2026, needs more optimization.
8 167 0.497814326478 Henry Cohn, 2026, needs more optimization.
8 168 0.498097691078 Henry Cohn, 2026, needs more optimization.
8 169 0.498240903073 Henry Cohn, 2026, needs more optimization.
8 170 0.498779477301 Henry Cohn, 2026, needs more optimization.
8 171 0.499102424806 Henry Cohn, 2026, needs more optimization.
8 172 0.499232804674 Henry Cohn, 2026, needs more optimization.
8 173 0.499474574740 Henry Cohn, 2026, needs more optimization.
8 174 0.499709971340 Henry Cohn, 2026, needs more optimization.
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 0.539501901248 Henry Cohn, 2024, needs more optimization.
8 242 0.544144619070 Henry Cohn, 2026, needs more optimization.
8 243 0.547312040080 Henry Cohn, 2026, needs more optimization.
8 244 0.549394516887 Henry Cohn, 2026, needs more optimization.
8 245 0.551506115809 Henry Cohn, 2026, needs more optimization.
8 246 0.553445358863 Henry Cohn, 2026, needs more optimization.
8 247 0.555290486515 Henry Cohn, 2026, needs more optimization.
8 248 0.557107309078 Henry Cohn, 2026, needs more optimization.
8 249 0.559174278894 Henry Cohn, 2026, needs more optimization.
8 250 0.560485913855 Henry Cohn, 2026, needs more optimization.
8 251 0.561372013377 Henry Cohn, 2026, needs more optimization.
8 252 0.562684715696 Henry Cohn, 2026, needs more optimization.
8 253 0.564108506087 Henry Cohn, 2026, needs more optimization.
8 254 0.564224081621 Henry Cohn, 2026, needs more optimization.
8 255 0.564246111853 Henry Cohn, 2026, needs more optimization.
8 256 0.564578149391 Henry Cohn, 2026, needs more optimization.
8 257 0.564972223530 Henry Cohn, 2026, needs more optimization.
8 258 0.566631969542 Henry Cohn, 2026, needs more optimization.
8 259 0.568549699184 Henry Cohn, 2026, needs more optimization.
8 260 0.568609104811 Henry Cohn, 2026, needs more optimization.
8 261 0.569474413871 Henry Cohn, 2026, needs more optimization.
8 262 0.570035807746 Henry Cohn, 2026, needs more optimization.
8 263 0.571103016719 Henry Cohn, 2026, needs more optimization.
8 264 0.571405626387 Henry Cohn, 2026, needs more optimization.
8 265 0.572177745623 Henry Cohn, 2026, needs more optimization.
8 266 0.572625018044 Henry Cohn, 2026, needs more optimization.
8 267 0.573379129891 Henry Cohn, 2026, needs more optimization.
8 268 0.573583849050 Henry Cohn, 2026, needs more optimization.
8 269 0.574354646642 Henry Cohn, 2026, needs more optimization.
8 270 0.574627466701 Henry Cohn, 2026, needs more optimization.
8 271 0.575529694113 Henry Cohn, 2026, needs more optimization.
8 272 0.576387380614 Henry Cohn, 2026, needs more optimization.
8 273 0.577175122048 Henry Cohn, 2026, needs more optimization.
8 274 0.577466758817 Henry Cohn, 2026, needs more optimization.
8 275 0.577887262088 Henry Cohn, 2026, needs more optimization.
8 276 0.578735523009 Henry Cohn, 2026, needs more optimization.
8 277 0.579502650883 Henry Cohn, 2026, needs more optimization.
8 278 0.579955496777 Henry Cohn, 2026, needs more optimization.
8 279 0.580717994266 Henry Cohn, 2026, needs more optimization.
8 280 0.581396640480 Henry Cohn, 2026, needs more optimization.
8 281 0.581540805812 Henry Cohn, 2026, needs more optimization.
8 282 0.582273525147 Henry Cohn, 2026, needs more optimization.
8 283 0.582807345567 Henry Cohn, 2026, needs more optimization.
8 284 0.582829124605 Henry Cohn, 2026, needs more optimization.
8 285 0.584367606179 Henry Cohn, 2026, needs more optimization.
8 286 0.584414004364 Henry Cohn, 2026, needs more optimization.
8 287 0.584438977449 Henry Cohn, 2026, needs more optimization.
8 288 0.584444776445 Henry Cohn, 2026, needs more optimization.
8 289 0.585023366932 Henry Cohn, 2026, needs more optimization.
8 290 0.585254785488 Henry Cohn, 2026, needs more optimization.
8 291 0.586204684358 Henry Cohn, 2026, needs more optimization.
8 292 0.586643735400 Henry Cohn, 2026, needs more optimization.
8 293 0.586654592344 Henry Cohn, 2026, needs more optimization.
8 294 0.586748194284 Henry Cohn, 2026, needs more optimization.
8 295 0.588114325661 Henry Cohn, 2026, needs more optimization.
8 296 0.588201051310 Henry Cohn, 2026, needs more optimization.
8 297 0.589642102244 Henry Cohn, 2026, needs more optimization.
8 298 0.590530130315 Henry Cohn, 2026, needs more optimization.
8 299 0.590530369622 Henry Cohn, 2026, needs more optimization.
8 300 0.590531540370 Henry Cohn, 2026, needs more optimization.
8 301 0.590552247419 Henry Cohn, 2026, needs more optimization.
8 302 0.590574074073 Henry Cohn, 2026, needs more optimization.
8 303 0.590580084342 Henry Cohn, 2026, needs more optimization.
8 304 0.590594154887 Henry Cohn, 2026, needs more optimization.
8 305 0.590645359224 Henry Cohn, 2026, needs more optimization.
8 306 0.590696745430 Henry Cohn, 2026, needs more optimization.
8 307 0.590773047590 Henry Cohn, 2026, needs more optimization.
8 308 0.590981495536 Henry Cohn, 2026, needs more optimization.
8 309 0.590982739607 Henry Cohn, 2026, needs more optimization.
8 310 0.591757546724 Henry Cohn, 2026, needs more optimization.
8 311 0.592707439338 Henry Cohn, 2026, needs more optimization.
8 312 0.593721229328 Henry Cohn, 2026, needs more optimization.
8 313 0.594307054987 Henry Cohn, 2026, needs more optimization.
8 314 0.594426562344 Henry Cohn, 2026, needs more optimization.
8 315 0.594751806592 Henry Cohn, 2026, needs more optimization.
8 316 0.594784047138 Henry Cohn, 2026, needs more optimization.
8 317 0.595142609489 Henry Cohn, 2026, needs more optimization.
8 318 0.595167138618 Henry Cohn, 2026, needs more optimization.
8 319 0.595278784544 Henry Cohn, 2026, needs more optimization.
8 320 0.595809952103 Henry Cohn, 2026, needs more optimization.
8 321 0.596363059133 Henry Cohn, 2026, needs more optimization.
8 322 0.597018154593 Henry Cohn, 2026, needs more optimization.
8 323 0.597599556439 Henry Cohn, 2026, needs more optimization.
8 324 0.598048490752 Henry Cohn, 2026, needs more optimization.
8 325 0.598654152805 Henry Cohn, 2026, needs more optimization.
8 326 0.599041284165 Henry Cohn, 2026, needs more optimization.
8 327 0.599973026575 Henry Cohn, 2026, needs more optimization.
8 328 0.600376241984 Henry Cohn, 2026, needs more optimization.
8 329 0.600657836112 Henry Cohn, 2026, needs more optimization.
8 330 0.600682321555 Henry Cohn, 2026, needs more optimization.
8 331 0.600911318830 Henry Cohn, 2026, needs more optimization.
8 332 0.600927393795 Henry Cohn, 2026, needs more optimization.
8 333 0.601661776707 Henry Cohn, 2026, needs more optimization.
8 334 0.601892865931 Henry Cohn, 2026, needs more optimization.
8 335 0.602170063518 Henry Cohn, 2026, needs more optimization.
8 336 0.602790134341 Henry Cohn, 2026, needs more optimization.
8 337 0.602909793807 Henry Cohn, 2026, needs more optimization.
8 338 0.603054437477 Henry Cohn, 2026, needs more optimization.
8 339 0.603108851566 Henry Cohn, 2026, needs more optimization.
8 340 0.603152313058 Henry Cohn, 2026, needs more optimization.
8 342 0.603172709121 Henry Cohn, 2026, needs more optimization.
8 343 0.604259444413 Henry Cohn, 2026, needs more optimization.
8 344 0.604343101392 Henry Cohn, 2026, needs more optimization.
8 345 0.604471565632 Henry Cohn, 2026, needs more optimization.
8 346 0.604492462295 Henry Cohn, 2026, needs more optimization.
8 347 0.604495270033 Henry Cohn, 2026, needs more optimization.
8 348 0.604500871254 Henry Cohn, 2026, needs more optimization.
8 349 0.604511520658 Henry Cohn, 2026, needs more optimization.
8 350 0.604522876750 Henry Cohn, 2026, needs more optimization.
8 351 0.604529629163 Henry Cohn, 2026, needs more optimization.
8 352 0.604548562802 Henry Cohn, 2026, needs more optimization.
8 353 0.604549717364 Henry Cohn, 2026, needs more optimization.
8 354 0.604555192274 Henry Cohn, 2026, needs more optimization.
8 355 0.604706559137 Henry Cohn, 2026, needs more optimization.
8 356 0.606393216740 Henry Cohn, 2026, needs more optimization.
8 357 0.606595125920 Henry Cohn, 2026, needs more optimization.
8 358 0.606831864897 Henry Cohn, 2026, needs more optimization.
8 359 0.607049615822 Henry Cohn, 2026, needs more optimization.
8 360 0.607063035646 Henry Cohn, 2026, needs more optimization.
8 361 0.614838822586 Henry Cohn, 2026, needs more optimization.
8 362 0.615021169855 Henry Cohn, 2026, needs more optimization.
8 363 0.615279349242 Henry Cohn, 2026, needs more optimization.
8 364 0.615568147236 Henry Cohn, 2026, needs more optimization.
8 365 0.616246162517 Henry Cohn, 2026, needs more optimization.
8 366 0.616700831083 Henry Cohn, 2026, needs more optimization.
8 367 0.617024837949 Henry Cohn, 2026, needs more optimization.
8 368 0.617082552835 Henry Cohn, 2026, needs more optimization.
8 369 0.617224331199 Henry Cohn, 2026, needs more optimization.
8 370 0.617760611945 Henry Cohn, 2026, needs more optimization.
8 371 0.618661989175 Henry Cohn, 2026, needs more optimization.
8 372 0.619024534128 Henry Cohn, 2026, needs more optimization.
8 373 0.619513497117 Henry Cohn, 2026, needs more optimization.
8 374 0.619967600867 Henry Cohn, 2026, needs more optimization.
8 375 0.620707908195 Henry Cohn, 2026, needs more optimization.
8 376 0.621529251915 Henry Cohn, 2026, needs more optimization.
8 377 0.622337696742 Henry Cohn, 2026, needs more optimization.
8 378 0.622606591500 Henry Cohn, 2026, needs more optimization.
8 379 0.623192869434 Henry Cohn, 2026, needs more optimization.
8 380 0.623541481423 Henry Cohn, 2026, needs more optimization.
8 381 0.624180889590 Henry Cohn, 2026, needs more optimization.
8 382 0.624736049168 Henry Cohn, 2026, needs more optimization.
8 383 0.624905803026 Henry Cohn, 2026, needs more optimization.
8 384 0.625061620841 Henry Cohn, 2026, needs more optimization.
8 385 0.625412593858 Henry Cohn, 2026, needs more optimization.
8 386 0.625774741639 Henry Cohn, 2026, needs more optimization.
8 387 0.625924794577 Henry Cohn, 2026, needs more optimization.
8 388 0.626425379538 Henry Cohn, 2026, needs more optimization.
8 389 0.626852133602 Henry Cohn, 2026, needs more optimization.
8 390 0.627118376128 Henry Cohn, 2026, needs more optimization.
8 391 0.627589149085 Henry Cohn, 2026, needs more optimization.
8 392 0.628055370030 Henry Cohn, 2026, needs more optimization.
8 393 0.628187326738 Henry Cohn, 2026, needs more optimization.
8 394 0.628342352919 Henry Cohn, 2026, needs more optimization.
8 395 0.628626311062 Henry Cohn, 2026, needs more optimization.
8 396 0.629054710288 Henry Cohn, 2026, needs more optimization.
8 397 0.629134044678 Henry Cohn, 2026, needs more optimization.
8 398 0.629546734303 Henry Cohn, 2026, needs more optimization.
8 399 0.629875966883 Henry Cohn, 2026, needs more optimization.
8 400 0.630162815762 Henry Cohn, 2026, needs more optimization.
8 401 0.630351693974 Henry Cohn, 2026, needs more optimization.
8 402 0.630562515429 Henry Cohn, 2026, needs more optimization.
8 403 0.630815652266 Henry Cohn, 2026, needs more optimization.
8 404 0.631503445525 Henry Cohn, 2026, needs more optimization.
8 405 0.631985208939 Henry Cohn, 2026, needs more optimization.
8 406 0.632075593998 Henry Cohn, 2026, needs more optimization.
8 407 0.632321293374 Henry Cohn, 2026, needs more optimization.
8 408 0.632618884709 Henry Cohn, 2026, needs more optimization.
8 409 0.632762327478 Henry Cohn, 2026, needs more optimization.
8 410 0.633086860676 Henry Cohn, 2026, needs more optimization.
8 411 0.633352347775 Henry Cohn, 2026, needs more optimization.
8 412 0.633651761408 Henry Cohn, 2026, needs more optimization.
8 413 0.633922500040 Henry Cohn, 2026, needs more optimization.
8 414 0.634135651165 Henry Cohn, 2026, needs more optimization.
8 415 0.634370802355 Henry Cohn, 2026, needs more optimization.
8 416 0.634699828286 Henry Cohn, 2026, needs more optimization.
8 417 0.634796129609 Henry Cohn, 2026, needs more optimization.
8 418 0.634864976529 Henry Cohn, 2026, needs more optimization.
8 419 0.635000497675 Henry Cohn, 2026, needs more optimization.
8 420 0.635096062955 Henry Cohn, 2026, needs more optimization.
8 421 0.635248950360 Henry Cohn, 2026, needs more optimization.
8 422 0.635728536482 Henry Cohn, 2026, needs more optimization.
8 423 0.635765207809 Henry Cohn, 2026, needs more optimization.
8 424 0.636034260549 Henry Cohn, 2026, needs more optimization.
8 425 0.636109123465 Henry Cohn, 2026, needs more optimization.
8 426 0.636206367222 Henry Cohn, 2026, needs more optimization.
8 427 0.636441722833 Henry Cohn, 2026, needs more optimization.
8 428 0.636540508068 Henry Cohn, 2026, needs more optimization.
8 429 0.636880825887 Henry Cohn, 2026, needs more optimization.
8 430 0.636924068953 Henry Cohn, 2026, needs more optimization.
8 431 0.637227461847 Henry Cohn, 2026, needs more optimization.
8 432 0.637317063013 Henry Cohn, 2026, needs more optimization.
8 433 0.637689755332 Henry Cohn, 2026, needs more optimization.
8 434 0.637969173092 Henry Cohn, 2026, needs more optimization.
8 435 0.638236754230 Henry Cohn, 2026, needs more optimization.
8 436 0.638476613448 Henry Cohn, 2026, needs more optimization.
8 437 0.638824007196 Henry Cohn, 2026, needs more optimization.
8 438 0.639277290234 Henry Cohn, 2026, needs more optimization.
8 439 0.639527968534 Henry Cohn, 2026, needs more optimization.
8 440 0.639642646367 Henry Cohn, 2026, needs more optimization.
8 441 0.639741384523 Henry Cohn, 2026, needs more optimization.
8 442 0.639963075440 Henry Cohn, 2026, needs more optimization.
8 443 0.640145473998 Henry Cohn, 2026, needs more optimization.
8 444 0.640184851221 Henry Cohn, 2026, needs more optimization.
8 445 0.640376748139 Henry Cohn, 2026, needs more optimization.
8 446 0.640638161372 Henry Cohn, 2026, needs more optimization.
8 447 0.640932186804 Henry Cohn, 2026, needs more optimization.
8 448 0.641217483593 Henry Cohn, 2026, needs more optimization.
8 449 0.641515766948 Henry Cohn, 2026, needs more optimization.
8 450 0.641544535910 Henry Cohn, 2026, needs more optimization.
8 451 0.641561474751 Henry Cohn, 2026, needs more optimization.
8 452 0.641581062292 Henry Cohn, 2026, needs more optimization.
8 453 0.641660143096 Henry Cohn, 2026, needs more optimization.
8 454 0.641707421198 Henry Cohn, 2026, needs more optimization.
8 455 0.641754262032 Henry Cohn, 2026, needs more optimization.
8 456 0.641919338975 Henry Cohn, 2026, needs more optimization.
8 457 0.641978745313 Henry Cohn, 2026, needs more optimization.
8 458 0.642001240755 Henry Cohn, 2026, needs more optimization.
8 459 0.642005351720 Henry Cohn, 2026, needs more optimization.
8 460 0.642092363360 Henry Cohn, 2026, needs more optimization.
8 461 0.642138324381 Henry Cohn, 2026, needs more optimization.
8 462 0.642190730132 Henry Cohn, 2026, needs more optimization.
8 463 0.642272397367 Henry Cohn, 2026, needs more optimization.
8 464 0.642315775834 Henry Cohn, 2026, needs more optimization.
8 465 0.642406594854 Henry Cohn, 2026, needs more optimization.
8 466 0.642559880344 Henry Cohn, 2026, needs more optimization.
8 467 0.642699829517 Henry Cohn, 2026, needs more optimization.
8 468 0.642938482154 Henry Cohn, 2026, needs more optimization.
8 469 0.643134990312 Henry Cohn, 2026, needs more optimization.
8 470 0.643313524534 Henry Cohn, 2026, needs more optimization.
8 471 0.643489036004 Henry Cohn, 2026, needs more optimization.
8 472 0.643660989990 Henry Cohn, 2026, needs more optimization.
8 473 0.643828430562 Henry Cohn, 2026, needs more optimization.
8 474 0.643842809722 Henry Cohn, 2026, needs more optimization.
8 475 0.644063755420 Henry Cohn, 2026, needs more optimization.
8 476 0.644207113120 Henry Cohn, 2026, needs more optimization.
8 477 0.644357690648 Henry Cohn, 2026, needs more optimization.
8 478 0.644664163987 Henry Cohn, 2026, needs more optimization.
8 479 0.644786431584 Henry Cohn, 2026, needs more optimization.
8 480 0.645249528631 Henry Cohn, 2026, needs more optimization.
8 481 0.645395462145 Henry Cohn, 2026, needs more optimization.
8 482 0.645562566399 Henry Cohn, 2026, needs more optimization.
8 483 0.645636052442 Henry Cohn, 2026, needs more optimization.
8 484 0.646177380518 Henry Cohn, 2026, needs more optimization.
8 485 0.646398212734 Henry Cohn, 2026, needs more optimization.
8 486 0.646823363343 Henry Cohn, 2026, needs more optimization.
8 487 0.647271697768 Henry Cohn, 2026, needs more optimization.
8 488 0.647390697523 Henry Cohn, 2026, needs more optimization.
8 489 0.647420821168 Henry Cohn, 2026, needs more optimization.
8 490 0.647741951583 Henry Cohn, 2026, needs more optimization.
8 491 0.648013143560 Henry Cohn, 2026, needs more optimization.
8 492 0.648480582249 Henry Cohn, 2026, needs more optimization.
8 493 0.648784021464 Henry Cohn, 2026, needs more optimization.
8 494 0.649068701574 Henry Cohn, 2026, needs more optimization.
8 495 0.649077007359 Henry Cohn, 2026, needs more optimization.
8 496 0.649081572865 Henry Cohn, 2026, needs more optimization.
8 497 0.649156515393 Henry Cohn, 2026, needs more optimization.
8 498 0.649185181458 Henry Cohn, 2026, needs more optimization.
8 499 0.649394278358 Henry Cohn, 2026, needs more optimization.
8 500 0.649645197063 Henry Cohn, 2026, needs more optimization.
8 501 0.650033071356 Henry Cohn, 2026, needs more optimization.
8 502 0.650228714577 Henry Cohn, 2026, needs more optimization.
8 503 0.650243838872 Henry Cohn, 2026, needs more optimization.
8 504 0.650348852816 Henry Cohn, 2026, needs more optimization.
8 505 0.650423135727 Henry Cohn, 2026, needs more optimization.
8 506 0.651021926423 Henry Cohn, 2026, needs more optimization.
8 507 0.651487923057 Henry Cohn, 2026, needs more optimization.
8 508 0.651602054655 Henry Cohn, 2026, needs more optimization.
8 509 0.651809497530 Henry Cohn, 2026, needs more optimization.
8 510 0.652116983273 Henry Cohn, 2026, needs more optimization.
8 511 0.652193712459 Henry Cohn, 2026, needs more optimization.
8 512 0.652240549745 Henry Cohn, 2026, needs more optimization.
8 513 0.652402847832 Henry Cohn, 2026, needs more optimization.
8 514 0.652431912704 Henry Cohn, 2026, needs more optimization.
8 515 0.652441476243 Henry Cohn, 2026, needs more optimization.
8 516 0.652722192674 Henry Cohn, 2026, needs more optimization.
8 517 0.652828813516 Henry Cohn, 2026, needs more optimization.
8 518 0.653059304870 Henry Cohn, 2026, needs more optimization.
8 519 0.653310870234 Henry Cohn, 2026, needs more optimization.
8 520 0.653667075831 Henry Cohn, 2026, needs more optimization.
8 521 0.653799701137 Henry Cohn, 2026, needs more optimization.
8 522 0.654356486869 Henry Cohn, 2026, needs more optimization.
8 523 0.654784419308 Henry Cohn, 2026, needs more optimization.
8 524 0.654904264513 Henry Cohn, 2026, needs more optimization.
8 525 0.655229825594 Henry Cohn, 2026, needs more optimization.
8 526 0.655414356786 Henry Cohn, 2026, needs more optimization.
8 527 0.655578843189 Henry Cohn, 2026, needs more optimization.
8 528 0.655803142800 Henry Cohn, 2026, needs more optimization.
8 529 0.655994138118 Henry Cohn, 2026, needs more optimization.
8 530 0.656288147923 Henry Cohn, 2026, needs more optimization.
8 531 0.656453668553 Henry Cohn, 2026, needs more optimization.
8 532 0.656460349956 Henry Cohn, 2026, needs more optimization.
8 533 0.656497903716 Henry Cohn, 2026, needs more optimization.
8 534 0.656527542045 Henry Cohn, 2026, needs more optimization.
8 535 0.656805830150 Henry Cohn, 2026, needs more optimization.
8 536 0.657118001350 Henry Cohn, 2026, needs more optimization.
8 537 0.657171100648 Henry Cohn, 2026, needs more optimization.
8 538 0.657363950911 Henry Cohn, 2026, needs more optimization.
8 539 0.657527020977 Henry Cohn, 2026, needs more optimization.
8 540 0.657862261189 Henry Cohn, 2026, needs more optimization.
8 541 0.658015022546 Henry Cohn, 2026, needs more optimization.
8 542 0.658040192362 Henry Cohn, 2026, needs more optimization.
8 543 0.658331696708 Henry Cohn, 2026, needs more optimization.
8 544 0.658657747801 Henry Cohn, 2026, needs more optimization.
8 545 0.658877818921 Henry Cohn, 2026, needs more optimization.
8 546 0.659022239856 Henry Cohn, 2026, needs more optimization.
8 547 0.659357199056 Henry Cohn, 2026, needs more optimization.
8 548 0.659555883532 Henry Cohn, 2026, needs more optimization.
8 549 0.659643361796 Henry Cohn, 2026, needs more optimization.
8 550 0.659644107986 Henry Cohn, 2026, needs more optimization.
8 551 0.659977839100 Henry Cohn, 2026, needs more optimization.
8 552 0.660512705456 Henry Cohn, 2026, needs more optimization.
8 553 0.660643203480 Henry Cohn, 2026, needs more optimization.
8 554 0.660785858026 Henry Cohn, 2026, needs more optimization.
8 555 0.660880864305 Henry Cohn, 2026, needs more optimization.
8 556 0.661124515927 Henry Cohn, 2026, needs more optimization.
8 557 0.661277063533 Henry Cohn, 2026, needs more optimization.
8 558 0.661421001938 Henry Cohn, 2026, needs more optimization.
8 559 0.661754356558 Henry Cohn, 2026, needs more optimization.
8 560 0.661925545445 Henry Cohn, 2026, needs more optimization.
8 561 0.662044320206 Henry Cohn, 2026, needs more optimization.
8 562 0.662322894024 Henry Cohn, 2026, needs more optimization.
8 563 0.662452864441 Henry Cohn, 2026, needs more optimization.
8 564 0.662598398182 Henry Cohn, 2026, needs more optimization.
8 565 0.662705937012 Henry Cohn, 2026, needs more optimization.
8 566 0.662775873546 Henry Cohn, 2026, needs more optimization.
8 567 0.662799522861 Henry Cohn, 2026, needs more optimization.
8 568 0.662928742645 Henry Cohn, 2026, needs more optimization.
8 569 0.663109057360 Henry Cohn, 2026, needs more optimization.
8 570 0.663149257296 Henry Cohn, 2026, needs more optimization.
8 571 0.663329538847 Henry Cohn, 2026, needs more optimization.
8 572 0.663492015877 Henry Cohn, 2026, needs more optimization.
8 573 0.663534746188 Henry Cohn, 2026, needs more optimization.
8 574 0.663819751406 Henry Cohn, 2026, needs more optimization.
8 575 0.663952717320 Henry Cohn, 2026, needs more optimization.
8 576 0.664026589633 Henry Cohn, 2026, needs more optimization.
8 577 0.664108057961 Henry Cohn, 2026, needs more optimization.
8 578 0.664207642215 Henry Cohn, 2026, needs more optimization.
8 579 0.664370909894 Henry Cohn, 2026, needs more optimization.
8 580 0.664428029723 Henry Cohn, 2026, needs more optimization.
8 581 0.664543537701 Henry Cohn, 2026, needs more optimization.
8 582 0.664561935540 Henry Cohn, 2026, needs more optimization.
8 584 0.664782888660 Henry Cohn, 2026, needs more optimization.
8 585 0.664799361087 Henry Cohn, 2026, needs more optimization.
8 586 0.664881474562 Henry Cohn, 2026, needs more optimization.
8 587 0.664963707129 Henry Cohn, 2026, needs more optimization.
8 588 0.665047648857 Henry Cohn, 2026, needs more optimization.
8 589 0.665219852918 Henry Cohn, 2026, needs more optimization.
8 590 0.665437301887 Henry Cohn, 2026, needs more optimization.
8 591 0.665438123683 Henry Cohn, 2026, needs more optimization.
8 592 0.665447304727 Henry Cohn, 2026, needs more optimization.
8 593 0.665454223376 Henry Cohn, 2026, needs more optimization.
8 594 0.665462851472 Henry Cohn, 2026, needs more optimization.
8 595 0.665468916714 Henry Cohn, 2026, needs more optimization.
8 596 0.665470715192 Henry Cohn, 2026, needs more optimization.
8 597 0.665481801083 Henry Cohn, 2026, needs more optimization.
8 598 0.665482329664 Henry Cohn, 2026, needs more optimization.
8 599 0.665482723319 Henry Cohn, 2026, needs more optimization.
8 600 0.665517054544 Henry Cohn, 2026, needs more optimization.
8 602 0.665521140378 Henry Cohn, 2026, needs more optimization.
8 603 0.665569906005 Henry Cohn, 2026, needs more optimization.
8 608 0.665589528953 Henry Cohn, 2026, needs more optimization.
8 609 0.665626938224 Henry Cohn, 2026, needs more optimization.
8 610 0.665644417570 Henry Cohn, 2026, needs more optimization.
8 611 0.665660532049 Henry Cohn, 2026, needs more optimization.
8 612 0.665671096023 Henry Cohn, 2026, needs more optimization.
8 613 0.665685624779 Henry Cohn, 2026, needs more optimization.
8 614 0.665693346412 Henry Cohn, 2026, needs more optimization.
8 615 0.665728902684 Henry Cohn, 2026, needs more optimization.
8 617 0.665740208636 Henry Cohn, 2026, needs more optimization.
8 618 0.665765468013 Henry Cohn, 2026, needs more optimization.
8 619 0.665898706257 Henry Cohn, 2026, needs more optimization.
8 620 0.665970699894 Henry Cohn, 2026, needs more optimization.
8 621 0.666006064029 Henry Cohn, 2026, needs more optimization.
8 622 0.666018223365 Henry Cohn, 2026, needs more optimization.
8 623 0.666037531865 Henry Cohn, 2026, needs more optimization.
8 624 0.666042926512 Henry Cohn, 2026, needs more optimization.
8 625 0.666145156686 Henry Cohn, 2026, needs more optimization.
8 626 0.666181422637 Henry Cohn, 2026, needs more optimization.
8 627 0.666215981773 Henry Cohn, 2026, needs more optimization.
8 628 0.666285270374 Henry Cohn, 2026, needs more optimization.
8 629 0.666340672275 Henry Cohn, 2026, needs more optimization.
8 630 0.666393839310 Henry Cohn, 2026, needs more optimization.
8 631 0.666435620633 Henry Cohn, 2026, needs more optimization.
8 632 0.666494809371 Henry Cohn, 2026, needs more optimization.
8 633 0.666563924696 Henry Cohn, 2026, needs more optimization.
8 634 0.666696933784 Henry Cohn, 2026, needs more optimization.
8 635 0.667024667917 Henry Cohn, 2026, needs more optimization.
8 636 0.667151297207 Henry Cohn, 2026, needs more optimization.
8 637 0.667220613436 Henry Cohn, 2026, needs more optimization.
8 638 0.667377803402 Henry Cohn, 2026, needs more optimization.
8 639 0.667422876323 Henry Cohn, 2026, needs more optimization.
8 640 0.667482071498 Henry Cohn, 2026, needs more optimization.
8 641 0.667504367120 Henry Cohn, 2026, needs more optimization.
8 642 0.667719908284 Henry Cohn, 2026, needs more optimization.
8 643 0.667966684285 Henry Cohn, 2026, needs more optimization.
8 644 0.668381232954 Henry Cohn, 2026, needs more optimization.
8 645 0.668382671462 Henry Cohn, 2026, needs more optimization.
8 646 0.668523275644 Henry Cohn, 2026, needs more optimization.
8 647 0.668560940097 Henry Cohn, 2026, needs more optimization.
8 648 0.668602394017 Henry Cohn, 2026, needs more optimization.
8 649 0.668664519120 Henry Cohn, 2026, needs more optimization.
8 650 0.668708443413 Henry Cohn, 2026, needs more optimization.
8 651 0.668829746712 Henry Cohn, 2026, needs more optimization.
8 652 0.668854097393 Henry Cohn, 2026, needs more optimization.
8 653 0.668869315518 Henry Cohn, 2026, needs more optimization.
8 654 0.668879944128 Henry Cohn, 2026, needs more optimization.
8 655 0.668947103145 Henry Cohn, 2026, needs more optimization.
8 659 0.669101047611 Henry Cohn, 2026, needs more optimization.
8 661 0.669207566912 Henry Cohn, 2026, needs more optimization.
8 662 0.669240972341 Henry Cohn, 2026, needs more optimization.
8 663 0.669305141974 Henry Cohn, 2026, needs more optimization.
8 664 0.669522958569 Henry Cohn, 2026, needs more optimization.
8 665 0.669655230717 Henry Cohn, 2026, needs more optimization.
8 667 0.669948616032 Henry Cohn, 2026, needs more optimization.
8 668 0.670308648490 Henry Cohn, 2026, needs more optimization.
8 669 0.670470926508 Henry Cohn, 2026, needs more optimization.
8 670 0.670619436762 Henry Cohn, 2026, needs more optimization.
8 671 0.670900033722 Henry Cohn, 2026, needs more optimization.
8 672 0.670984558310 Henry Cohn, 2026, needs more optimization.
8 673 0.671276022659 Henry Cohn, 2026, needs more optimization.
8 674 0.671600463420 Henry Cohn, 2026, needs more optimization.
8 675 0.672040182815 Henry Cohn, 2026, needs more optimization.
8 676 0.672094006180 Henry Cohn, 2026, needs more optimization.
8 677 0.672616313060 Henry Cohn, 2026, needs more optimization.
8 678 0.672891542285 Henry Cohn, 2026, needs more optimization.
8 679 0.673172472931 Henry Cohn, 2026, needs more optimization.
8 680 0.673426917464 Henry Cohn, 2026, needs more optimization.
8 681 0.673464055386 Henry Cohn, 2026, needs more optimization.
8 682 0.673499197988 Henry Cohn, 2026, needs more optimization.
8 683 0.673504957533 Henry Cohn, 2026, needs more optimization.
8 684 0.673556903266 Henry Cohn, 2026, needs more optimization.
8 685 0.674087868144 Henry Cohn, 2026, needs more optimization.
8 686 0.674238717049 Henry Cohn, 2026, needs more optimization.
8 687 0.674570825169 Henry Cohn, 2026, needs more optimization.
8 688 0.674958920950 Henry Cohn, 2026, needs more optimization.
8 689 0.675192568529 Henry Cohn, 2026, needs more optimization.
8 690 0.675546064687 Henry Cohn, 2026, needs more optimization.
8 691 0.676082266755 Henry Cohn, 2026, needs more optimization.
8 692 0.676458908466 Henry Cohn, 2026, needs more optimization.
8 693 0.676930207458 Henry Cohn, 2026, needs more optimization.
8 694 0.677383885733 Henry Cohn, 2026, needs more optimization.
8 695 0.677473325047 Henry Cohn, 2026, needs more optimization.
8 696 0.677700676702 Henry Cohn, 2026, needs more optimization.
8 697 0.677827331044 Henry Cohn, 2026, needs more optimization.
8 698 0.678238454368 Henry Cohn, 2026, needs more optimization.
8 699 0.678466764703 Henry Cohn, 2026, needs more optimization.
8 700 0.678642846420 Henry Cohn, 2026, needs more optimization.
8 701 0.679095693266 Henry Cohn, 2026, needs more optimization.
8 702 0.679323221478 Henry Cohn, 2026, needs more optimization.
8 703 0.679818526516 Henry Cohn, 2026, needs more optimization.
8 704 0.680172197413 Henry Cohn, 2026, needs more optimization.
8 705 0.680278383525 Henry Cohn, 2026, needs more optimization.
8 706 0.680449421143 Henry Cohn, 2026, needs more optimization.
8 707 0.680551249989 Henry Cohn, 2026, needs more optimization.
8 708 0.680623049626 Henry Cohn, 2026, needs more optimization.
8 709 0.680933757452 Henry Cohn, 2026, needs more optimization.
8 710 0.681429204589 Henry Cohn, 2026, needs more optimization.
8 711 0.681584701237 Henry Cohn, 2026, needs more optimization.
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8 713 0.682083174912 Henry Cohn, 2026, needs more optimization.
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8 717 0.683271238365 Henry Cohn, 2026, needs more optimization.
8 719 0.683558819022 Henry Cohn, 2026, needs more optimization.
8 720 0.683923857863 Henry Cohn, 2026, needs more optimization.
8 722 0.684101838771 Henry Cohn, 2026, needs more optimization.
8 723 0.684362028007 Henry Cohn, 2026, needs more optimization.
8 724 0.684594397291 Henry Cohn, 2026, needs more optimization.
8 725 0.685007738320 Henry Cohn, 2026, needs more optimization.
8 726 0.685158880459 Henry Cohn, 2026, needs more optimization.
8 727 0.685443187285 Henry Cohn, 2026, needs more optimization.
8 728 0.685517992595 Henry Cohn, 2026, needs more optimization.
8 729 0.685816856960 Henry Cohn, 2026, needs more optimization.
8 730 0.686143048994 Henry Cohn, 2026, needs more optimization.
8 731 0.686259722024 Henry Cohn, 2026, needs more optimization.
8 732 0.686478244442 Henry Cohn, 2026, needs more optimization.
8 733 0.686612302360 Henry Cohn, 2026, needs more optimization.
8 734 0.686924347144 Henry Cohn, 2026, needs more optimization.
8 735 0.687284373526 Henry Cohn, 2026, needs more optimization.
8 736 0.687523751192 Henry Cohn, 2026, needs more optimization.
8 737 0.687585430833 Henry Cohn, 2026, needs more optimization.
8 738 0.687694380498 Henry Cohn, 2026, needs more optimization.
8 739 0.687789709054 Henry Cohn, 2026, needs more optimization.
8 740 0.687952745572 Henry Cohn, 2026, needs more optimization.
8 741 0.688139368561 Henry Cohn, 2026, needs more optimization.
8 742 0.688260199292 Henry Cohn, 2026, needs more optimization.
8 743 0.688520285064 Henry Cohn, 2026, needs more optimization.
8 744 0.688527279031 Henry Cohn, 2026, needs more optimization.
8 745 0.688708051462 Henry Cohn, 2026, needs more optimization.
8 746 0.688912491182 Henry Cohn, 2026, needs more optimization.
8 747 0.688956439802 Henry Cohn, 2026, needs more optimization.
8 748 0.689169297683 Henry Cohn, 2026, needs more optimization.
8 750 0.689306060366 Henry Cohn, 2026, needs more optimization.
8 751 0.689472565265 Henry Cohn, 2026, needs more optimization.
8 752 0.689845305239 Henry Cohn, 2026, needs more optimization.
8 753 0.689984140438 Henry Cohn, 2026, needs more optimization.
8 761 0.690149408211 Henry Cohn, 2026, needs more optimization.
8 763 0.690189510747 Henry Cohn, 2026, needs more optimization.
8 764 0.690931071824 Henry Cohn, 2026, needs more optimization.
8 765 0.691013699264 Henry Cohn, 2026, needs more optimization.
8 766 0.691032493752 Henry Cohn, 2026, needs more optimization.
8 767 0.691165311088 Henry Cohn, 2026, needs more optimization.
8 769 0.691316378474 Henry Cohn, 2026, needs more optimization.
8 770 0.691525078543 Henry Cohn, 2026, needs more optimization.
8 771 0.691675310985 Henry Cohn, 2026, needs more optimization.
8 773 0.691682081177 Henry Cohn, 2026, needs more optimization.
8 774 0.691766671481 Henry Cohn, 2026, needs more optimization.
8 775 0.691812794650 Henry Cohn, 2026, needs more optimization.
8 776 0.692242222062 Henry Cohn, 2026, needs more optimization.
8 777 0.692366363843 Henry Cohn, 2026, needs more optimization.
8 779 0.692465102521 Henry Cohn, 2026, needs more optimization.
8 780 0.692537727970 Henry Cohn, 2026, needs more optimization.
8 781 0.692565680378 Henry Cohn, 2026, needs more optimization.
8 782 0.692608446303 Henry Cohn, 2026, needs more optimization.
8 783 0.692726773131 Henry Cohn, 2026, needs more optimization.
8 784 0.692790406312 Henry Cohn, 2026, needs more optimization.
8 785 0.693265137377 Henry Cohn, 2026, needs more optimization.
8 786 0.693502309730 Henry Cohn, 2026, needs more optimization.
8 787 0.693735274021 Henry Cohn, 2026, needs more optimization.
8 788 0.693777133843 Henry Cohn, 2026, needs more optimization.
8 789 0.694047463165 Henry Cohn, 2026, needs more optimization.
8 790 0.694184804771 Henry Cohn, 2026, needs more optimization.
8 791 0.694192689454 Henry Cohn, 2026, needs more optimization.
8 792 0.694209536492 Henry Cohn, 2026, needs more optimization.
8 794 0.694599840707 Henry Cohn, 2026, needs more optimization.
8 796 0.694640512271 Henry Cohn, 2026, needs more optimization.
8 797 0.694641488004 Henry Cohn, 2026, needs more optimization.
8 798 0.694835091081 Henry Cohn, 2026, needs more optimization.
8 799 0.694878927326 Henry Cohn, 2026, needs more optimization.
8 800 0.695088399533 Henry Cohn, 2026, needs more optimization.
8 801 0.695326474910 Henry Cohn, 2026, needs more optimization.
8 802 0.695574427395 Henry Cohn, 2026, needs more optimization.
8 803 0.695625511136 Henry Cohn, 2026, needs more optimization.
8 804 0.695881043382 Henry Cohn, 2026, needs more optimization.
8 805 0.696131014420 Henry Cohn, 2026, needs more optimization.
8 808 0.696244187698 Henry Cohn, 2026, needs more optimization.
8 809 0.696301455705 Henry Cohn, 2026, needs more optimization.
8 810 0.696303683774 Henry Cohn, 2026, needs more optimization.
8 812 0.696689399122 Henry Cohn, 2026, needs more optimization.
8 813 0.696827702900 Henry Cohn, 2026, needs more optimization.
8 815 0.697500638579 Henry Cohn, 2026, needs more optimization.
8 817 0.697544984129 Henry Cohn, 2026, needs more optimization.
8 818 0.697564425568 Henry Cohn, 2026, needs more optimization.
8 819 0.697597154943 Henry Cohn, 2026, needs more optimization.
8 820 0.697614013000 Henry Cohn, 2026, needs more optimization.
8 821 0.697682496225 Henry Cohn, 2026, needs more optimization.
8 822 0.697890961024 Henry Cohn, 2026, needs more optimization.
8 823 0.697951000119 Henry Cohn, 2026, needs more optimization.
8 825 0.697991133551 Henry Cohn, 2026, needs more optimization.
8 826 0.698126896554 Henry Cohn, 2026, needs more optimization.
8 828 0.698608068489 Henry Cohn, 2026, needs more optimization.
8 829 0.698625545550 Henry Cohn, 2026, needs more optimization.
8 830 0.699113847942 Henry Cohn, 2026, needs more optimization.
8 831 0.699118595150 Henry Cohn, 2026, needs more optimization.
8 833 0.699132375297 Henry Cohn, 2026, needs more optimization.
8 834 0.699139266075 Henry Cohn, 2026, needs more optimization.
8 835 0.699342887014 Henry Cohn, 2026, needs more optimization.
8 838 0.699904209422 Henry Cohn, 2026, needs more optimization.
8 839 0.699932181317 Henry Cohn, 2026, needs more optimization.
8 840 0.700001040156 Henry Cohn, 2026, needs more optimization.
8 842 0.700488246009 Henry Cohn, 2026, needs more optimization.
8 843 0.700512011806 Henry Cohn, 2026, needs more optimization.
8 844 0.700517448675 Henry Cohn, 2026, needs more optimization.
8 846 0.700544209095 Henry Cohn, 2026, needs more optimization.
8 847 0.700552498915 Henry Cohn, 2026, needs more optimization.
8 848 0.700592555135 Henry Cohn, 2026, needs more optimization.
8 851 0.701153910909 Henry Cohn, 2026, needs more optimization.
8 852 0.701228178623 Henry Cohn, 2026, needs more optimization.
8 854 0.701537789233 Henry Cohn, 2026, needs more optimization.
8 858 0.702096313915 Henry Cohn, 2026, needs more optimization.
8 859 0.702261825391 Henry Cohn, 2026, needs more optimization.
8 860 0.702571802138 Henry Cohn, 2026, needs more optimization.
8 861 0.702592049920 Henry Cohn, 2026, needs more optimization.
8 863 0.702963028671 Henry Cohn, 2026, needs more optimization.
8 864 0.702966340672 Henry Cohn, 2026, needs more optimization.
8 865 0.703036992001 Henry Cohn, 2026, needs more optimization.
8 866 0.703072992075 Henry Cohn, 2026, needs more optimization.
8 867 0.703301463199 Henry Cohn, 2026, needs more optimization.
8 868 0.703323670664 Henry Cohn, 2026, needs more optimization.
8 869 0.703420235468 Henry Cohn, 2026, needs more optimization.
8 870 0.703427828105 Henry Cohn, 2026, needs more optimization.
8 871 0.703593391889 Henry Cohn, 2026, needs more optimization.
8 872 0.703626086563 Henry Cohn, 2026, needs more optimization.
8 873 0.703836594268 Henry Cohn, 2026, needs more optimization.
8 874 0.703842437176 Henry Cohn, 2026, needs more optimization.
8 875 0.703858579441 Henry Cohn, 2026, needs more optimization.
8 876 0.703858901882 Henry Cohn, 2026, needs more optimization.
8 877 0.704327967242 Henry Cohn, 2026, needs more optimization.
8 879 0.704355348688 Henry Cohn, 2026, needs more optimization.
8 880 0.704358645518 Henry Cohn, 2026, needs more optimization.
8 881 0.704363560063 Henry Cohn, 2026, needs more optimization.
8 882 0.704379126722 Henry Cohn, 2026, needs more optimization.
8 884 0.704690150904 Henry Cohn, 2026, needs more optimization.
8 888 0.704989635289 Henry Cohn, 2026, needs more optimization.
8 889 0.705015928259 Henry Cohn, 2026, needs more optimization.
8 890 0.705033376300 Henry Cohn, 2026, needs more optimization.
8 891 0.705582325746 Henry Cohn, 2026, needs more optimization.
8 892 0.705613033597 Henry Cohn, 2026, needs more optimization.
8 893 0.705630763881 Henry Cohn, 2026, needs more optimization.
8 895 0.705654686053 Henry Cohn, 2026, needs more optimization.
8 899 0.705656820837 Henry Cohn, 2026, needs more optimization.
8 902 0.705697259050 Henry Cohn, 2026, needs more optimization.
8 903 0.705705192586 Henry Cohn, 2026, needs more optimization.
8 905 0.705984426048 Henry Cohn, 2026, needs more optimization.
8 912 0.706450953978 Henry Cohn, 2026, needs more optimization.
8 913 0.706470455129 Henry Cohn, 2026, needs more optimization.
8 914 0.706522576545 Henry Cohn, 2026, needs more optimization.
8 915 0.706849318610 Henry Cohn, 2026, needs more optimization.
8 917 0.706879641181 Henry Cohn, 2026, needs more optimization.
8 918 0.707072979451 Henry Cohn, 2026, needs more optimization.
8 920 0.707078447618 Henry Cohn, 2026, needs more optimization.
8 925 0.707542878536 Henry Cohn, 2026, needs more optimization.
8 926 0.707655233912 Henry Cohn, 2026, needs more optimization.
8 928 0.707939343927 Henry Cohn, 2026, needs more optimization.
8 930 0.707960607005 Henry Cohn, 2026, needs more optimization.
8 931 0.707972849580 Henry Cohn, 2026, needs more optimization.
8 933 0.708026974908 Henry Cohn, 2026, needs more optimization.
8 934 0.708359961251 Henry Cohn, 2026, needs more optimization.
8 935 0.708362252724 Henry Cohn, 2026, needs more optimization.
8 936 0.708378990802 Henry Cohn, 2026, needs more optimization.
8 937 0.708412777061 Henry Cohn, 2026, needs more optimization.
8 939 0.708883863245 Henry Cohn, 2026, needs more optimization.
8 942 0.708905207301 Henry Cohn, 2026, needs more optimization.
8 943 0.708964359533 Henry Cohn, 2026, needs more optimization.
8 944 0.708992975702 Henry Cohn, 2026, needs more optimization.
8 947 0.709136663376 Henry Cohn, 2026, needs more optimization.
8 948 0.709519934254 Henry Cohn, 2026, needs more optimization.
8 954 0.709527038554 Henry Cohn, 2026, needs more optimization.
8 955 0.709901467242 Henry Cohn, 2026, needs more optimization.
8 956 0.709917132015 Henry Cohn, 2026, needs more optimization.
8 958 0.709991612617 Henry Cohn, 2026, needs more optimization.
8 959 0.710172499142 Henry Cohn, 2026, needs more optimization.
8 961 0.710182345915 Henry Cohn, 2026, needs more optimization.
8 963 0.710665370612 Henry Cohn, 2026, needs more optimization.
8 965 0.710747705105 Henry Cohn, 2026, needs more optimization.
8 966 0.710771435907 Henry Cohn, 2026, needs more optimization.
8 967 0.710777978006 Henry Cohn, 2026, needs more optimization.
8 968 0.710780003420 Henry Cohn, 2026, needs more optimization.
8 969 0.710802777018 Henry Cohn, 2026, needs more optimization.
8 970 0.710873877569 Henry Cohn, 2026, needs more optimization.
8 971 0.711374247624 Henry Cohn, 2026, needs more optimization.
8 973 0.711422577376 Henry Cohn, 2026, needs more optimization.
8 978 0.711497561020 Henry Cohn, 2026, needs more optimization.
8 979 0.711891037916 Henry Cohn, 2026, needs more optimization.
8 980 0.711909196304 Henry Cohn, 2026, needs more optimization.
8 981 0.711929415691 Henry Cohn, 2026, needs more optimization.
8 984 0.712002851183 Henry Cohn, 2026, needs more optimization.
8 985 0.712259088064 Henry Cohn, 2026, needs more optimization.
8 986 0.712324438170 Henry Cohn, 2026, needs more optimization.
8 988 0.712331349702 Henry Cohn, 2026, needs more optimization.
8 989 0.712591657176 Henry Cohn, 2026, needs more optimization.
8 991 0.712971679345 Henry Cohn, 2026, needs more optimization.
8 992 0.712985495317 Henry Cohn, 2026, needs more optimization.
8 996 0.712989348381 Henry Cohn, 2026, needs more optimization.
8 997 0.713041864427 Henry Cohn, 2026, needs more optimization.
8 998 0.713072372461 Henry Cohn, 2026, needs more optimization.
8 999 0.713123841076 Henry Cohn, 2026, needs more optimization.
8 1000 0.713132318468 Henry Cohn, 2026, needs more optimization.
8 1001 0.713192354018 Henry Cohn, 2026, needs more optimization.
8 1002 0.713241537344 Henry Cohn, 2026, needs more optimization.
8 1003 0.713259963983 Henry Cohn, 2026, needs more optimization.
8 1004 0.713295356615 Henry Cohn, 2026, needs more optimization.
8 1006 0.713388424851 Henry Cohn, 2026, needs more optimization.
8 1007 0.713497847082 Henry Cohn, 2026, needs more optimization.
8 1008 0.713562626478 Henry Cohn, 2026, needs more optimization.
8 1009 0.713605490194 Henry Cohn, 2026, needs more optimization.
8 1010 0.713630072884 Henry Cohn, 2026, needs more optimization.
8 1011 0.713667365027 Henry Cohn, 2026, needs more optimization.
8 1013 0.713709795961 Henry Cohn, 2026, needs more optimization.
8 1016 0.713762291420 Henry Cohn, 2026, needs more optimization.
8 1017 0.713810536221 Henry Cohn, 2026, needs more optimization.
8 1020 0.713846425484 Henry Cohn, 2026, needs more optimization.
8 1021 0.713894090340 Henry Cohn, 2026, needs more optimization.
8 1022 0.713904035685 Henry Cohn, 2026, needs more optimization.
8 1023 0.713918988194 Henry Cohn, 2026, needs more optimization.
8 1024 0.713975644255 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 0.2 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
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.
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 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.
9 57 0.282916244589 Henry Cohn, 2026.
9 58 0.288070633971 Henry Cohn, 2026.
9 59 0.293943006572 Henry Cohn, 2025.
9 60 0.294882506582 Henry Cohn, 2026.
9 61 0.297699008547 Henry Cohn, 2026.
9 62 0.299407593895 Henry Cohn, 2026.
9 63 0.302685227391 Henry Cohn, 2025.
9 64 0.306653313780 Henry Cohn, 2023.
9 65 0.310475871050 Henry Cohn, 2026.
9 66 0.313645759189 Henry Cohn, 2026.
9 67 0.317743907015 Henry Cohn, 2026.
9 68 0.322050465427 Henry Cohn, 2025.
9 69 0.324666182383 Henry Cohn, 2025.
9 70 0.327710258396 Henry Cohn, 2026.
9 71 0.328977728606 Henry Cohn, 2026.
9 72 0.329477621892 Henry Cohn, 2026, needs more optimization.
9 74 0.329478113244 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, 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 77 0.329568177750 Henry Cohn, 2026.
9 78 0.330101895521 Henry Cohn, 2025.
9 79 0.330918543665 Henry Cohn, 2024.
9 80 0.332977706545 Henry Cohn, 2025.
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 0.371099110252 Henry Cohn, 2024.
9 98 0.372095101498 Henry Cohn, 2025.
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 0.378849371703 Henry Cohn, 2026, needs more optimization.
9 104 0.379090673532 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
9 105 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 0.394987130629 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, 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 0.397771070072 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, 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 0.399023133764 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
9 109 0.401899173460 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, 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 0.404779316037 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, 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 0.406829185979 Henry Cohn, 2026, needs more optimization.
9 112 0.408810852559 Henry Cohn, 2026, needs more optimization.
9 113 0.410382469390 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
9 114 0.411462445872 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
9 115 0.412688037657 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
9 116 0.413818623867 Henry Cohn, 2026, needs more optimization.
9 117 0.414797547210 Henry Cohn, 2026, needs more optimization.
9 118 0.415831844545 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
9 119 0.416041502844 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
9 120 0.416627666230 Henry Cohn, 2026, needs more optimization.
9 121 0.417149001299 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
9 122 0.418282170106 Henry Cohn, 2026.
9 123 0.419259987656 Henry Cohn, 2026, needs more optimization.
9 124 0.420279754656 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
9 125 0.421595397771 Henry Cohn, 2026, needs more optimization.
9 126 0.422838950561 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
9 127 0.423810920465 Henry Cohn, 2026.
9 128 0.424720761718 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, 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 0.425892905098 Henry Cohn, 2026.
9 130 0.427372181610 Henry Cohn, 2026, needs more optimization.
9 131 0.428199975105 Henry Cohn, 2026, needs more optimization.
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 0.441693515174 Henry Cohn, 2026, needs more optimization.
9 148 0.444822266120 Henry Cohn, 2026, needs more optimization.
9 149 0.448505313351 Henry Cohn, 2026, needs more optimization.
9 150 0.450382564489 Henry Cohn, 2026, needs more optimization.
9 151 0.451759050156 Henry Cohn, 2026, needs more optimization.
9 152 0.453419362542 Henry Cohn, 2026, needs more optimization.
9 165 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
9 166 0.459775248090 Henry Cohn, 2026, needs more optimization.
9 167 0.459779172670 Henry Cohn, 2026, needs more optimization.
9 168 0.460094878133 Henry Cohn, 2026, needs more optimization.
9 169 0.461734397488 Henry Cohn, 2026, needs more optimization.
9 170 0.461782107447 Henry Cohn, 2026, needs more optimization.
9 171 0.461799662951 Henry Cohn, 2026, needs more optimization.
9 172 0.461938304696 Henry Cohn, 2026, needs more optimization.
9 173 0.462030892211 Henry Cohn, 2026, needs more optimization.
9 174 0.462167392118 Henry Cohn, 2026, needs more optimization.
9 175 0.462208945398 Henry Cohn, 2026, needs more optimization.
9 176 0.462265557842 Henry Cohn, 2026, needs more optimization.
9 177 0.462293243546 Henry Cohn, 2026, needs more optimization.
9 178 0.462317614244 Henry Cohn, 2026, needs more optimization.
9 179 0.462382275143 Henry Cohn, 2026, needs more optimization.
9 180 0.462411495141 Henry Cohn, 2026, needs more optimization.
9 181 0.462512785898 Henry Cohn, 2026, needs more optimization.
9 182 0.463631506868 Henry Cohn, 2026, needs more optimization.
9 183 0.465610266201 Henry Cohn, 2026, needs more optimization.
9 184 0.467345162992 Henry Cohn, 2026, needs more optimization.
9 185 0.468969787494 Henry Cohn, 2026, needs more optimization.
9 186 0.470177885435 Henry Cohn, 2026, needs more optimization.
9 187 0.473138868819 Henry Cohn, 2026, needs more optimization.
9 209 0.475156558223 Henry Cohn, 2026.
103⁢x2−30⁢x−9
9 210 0.478331304785 Henry Cohn, 2026, needs more optimization.
9 211 0.479527591250 Henry Cohn, 2026, needs more optimization.
9 212 0.482318109433 Henry Cohn, 2026, needs more optimization.
9 213 0.485455942493 Henry Cohn, 2026, needs more optimization.
9 214 0.487526535965 Henry Cohn, 2026, needs more optimization.
9 215 0.490140190551 Henry Cohn, 2026, needs more optimization.
9 216 0.491401236677 Henry Cohn, 2026, needs more optimization.
9 217 0.493124832744 Henry Cohn, 2026, needs more optimization.
9 218 0.493630041746 Henry Cohn, 2026, needs more optimization.
9 219 0.494510205210 Henry Cohn, 2026, needs more optimization.
9 220 0.495588650304 Henry Cohn, 2026, needs more optimization.
9 221 0.496587378283 Henry Cohn, 2026, needs more optimization.
9 222 0.497008329461 Henry Cohn, 2026, needs more optimization.
9 223 0.497017008393 Henry Cohn, 2026, needs more optimization.
9 224 0.497079487507 Henry Cohn, 2026, needs more optimization.
9 225 0.497211964943 Henry Cohn, 2026, needs more optimization.
9 226 0.497551719610 Henry Cohn, 2026, needs more optimization.
9 227 0.497576134639 Henry Cohn, 2026, needs more optimization.
9 228 0.498180816263 Henry Cohn, 2026, needs more optimization.
9 229 0.498390701857 Henry Cohn, 2026, needs more optimization.
9 230 0.498508210502 Henry Cohn, 2026, needs more optimization.
9 231 0.498635101471 Henry Cohn, 2026, needs more optimization.
9 232 0.498664124482 Henry Cohn, 2026, needs more optimization.
9 233 0.498822413745 Henry Cohn, 2026, needs more optimization.
9 234 0.499091004665 Henry Cohn, 2026, needs more optimization.
9 235 0.499189329554 Henry Cohn, 2026, needs more optimization.
9 236 0.499272260468 Henry Cohn, 2026, needs more optimization.
9 237 0.499315364269 Henry Cohn, 2026, needs more optimization.
9 238 0.499398991811 Henry Cohn, 2026, needs more optimization.
9 239 0.499454127526 Henry Cohn, 2026, needs more optimization.
9 240 0.499532371720 Henry Cohn, 2026, needs more optimization.
9 241 0.499601924031 Henry Cohn, 2026, needs more optimization.
9 242 0.499606791468 Henry Cohn, 2026, needs more optimization.
9 243 0.499621374183 Henry Cohn, 2026, needs more optimization.
9 244 0.499670983884 Henry Cohn, 2026, needs more optimization.
9 245 0.499758109784 Henry Cohn, 2026, needs more optimization.
9 246 0.499890170626 Henry Cohn, 2026, needs more optimization.
9 247 0.499897516111 Henry Cohn, 2026, needs more optimization.
9 248 0.499979015529 Henry Cohn, 2026, needs more optimization.
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 0.517071216007 Henry Cohn, 2026, needs more optimization.
9 308 0.518940203706 Henry Cohn, 2026, needs more optimization.
9 309 0.520869774655 Henry Cohn, 2026, needs more optimization.
9 310 0.521856810056 Henry Cohn, 2026, needs more optimization.
9 311 0.521859357576 Henry Cohn, 2026, needs more optimization.
9 312 0.521861665643 Henry Cohn, 2026, needs more optimization.
9 330 0.523809523810 Henry Cohn and Ilmari Vahteristo (independently), 2026.
21⁢x−11
9 331 0.528495711165 Henry Cohn, 2026, needs more optimization.
9 332 0.530018015542 Henry Cohn, 2026, needs more optimization.
9 333 0.533333259446 Henry Cohn, 2026, needs more optimization.
9 334 0.534902026025 Henry Cohn, 2026, needs more optimization.
9 335 0.536126625396 Henry Cohn, 2026, needs more optimization.
9 336 0.536257255820 Henry Cohn, 2026, needs more optimization.
9 337 0.536449905106 Henry Cohn, 2026, needs more optimization.
9 338 0.536456446834 Henry Cohn, 2026, needs more optimization.
9 339 0.537038797902 Henry Cohn, 2026, needs more optimization.
9 340 0.538015168341 Henry Cohn, 2026, needs more optimization.
9 341 0.538114452274 Henry Cohn, 2026, needs more optimization.
9 342 0.539546626206 Henry Cohn, 2026, needs more optimization.
9 343 0.540107409982 Henry Cohn, 2026, needs more optimization.
9 344 0.540912717116 Henry Cohn, 2026, needs more optimization.
9 345 0.540985137958 Henry Cohn, 2026, needs more optimization.
9 346 0.541096763694 Henry Cohn, 2026, needs more optimization.
9 347 0.541612195286 Henry Cohn, 2026, needs more optimization.
9 348 0.542601142402 Henry Cohn, 2026, needs more optimization.
9 349 0.543259210825 Henry Cohn, 2026, needs more optimization.
9 350 0.543434855951 Henry Cohn, 2026, needs more optimization.
9 351 0.543649330718 Henry Cohn, 2026, needs more optimization.
9 352 0.544166984514 Henry Cohn, 2026, needs more optimization.
9 353 0.544234625524 Henry Cohn, 2026, needs more optimization.
9 354 0.544334356438 Henry Cohn, 2026, needs more optimization.
9 355 0.544497338634 Henry Cohn, 2026, needs more optimization.
9 356 0.544568434902 Henry Cohn, 2026, needs more optimization.
9 357 0.544727405929 Henry Cohn, 2026, needs more optimization.
9 358 0.544897634596 Henry Cohn, 2026, needs more optimization.
9 359 0.546097911841 Henry Cohn, 2026, needs more optimization.
9 360 0.546560432077 Henry Cohn, 2026, needs more optimization.
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 0.555265770874 Henry Cohn, 2026, needs more optimization.
9 484 0.557692054424 Henry Cohn, 2026, needs more optimization.
9 485 0.562939670462 Henry Cohn, 2026, needs more optimization.
9 486 0.565407820052 Henry Cohn, 2026, needs more optimization.
9 487 0.568338481590 Henry Cohn, 2026, needs more optimization.
9 488 0.569265985934 Henry Cohn, 2026, needs more optimization.
9 489 0.570799166795 Henry Cohn, 2026, needs more optimization.
9 490 0.572439649340 Henry Cohn, 2026, needs more optimization.
9 491 0.574101230042 Henry Cohn, 2026, needs more optimization.
9 492 0.574939889570 Henry Cohn, 2026, needs more optimization.
9 493 0.576344453868 Henry Cohn, 2026, needs more optimization.
9 494 0.578046429813 Henry Cohn, 2026, needs more optimization.
9 495 0.578928279219 Henry Cohn, 2026, needs more optimization.
9 496 0.580088694840 Henry Cohn, 2026, needs more optimization.
9 497 0.580669110401 Henry Cohn, 2026, needs more optimization.
9 498 0.581751279019 Henry Cohn, 2026, needs more optimization.
9 499 0.582995661421 Henry Cohn, 2026, needs more optimization.
9 500 0.583923321598 Henry Cohn, 2026, needs more optimization.
9 501 0.584666545495 Henry Cohn, 2026, needs more optimization.
9 502 0.585624408177 Henry Cohn, 2026, needs more optimization.
9 503 0.586252733609 Henry Cohn, 2026, needs more optimization.
9 504 0.587162419515 Henry Cohn, 2026, needs more optimization.
9 505 0.587233398662 Henry Cohn, 2026, needs more optimization.
9 506 0.588172916499 Henry Cohn, 2026, needs more optimization.
9 507 0.588347515403 Henry Cohn, 2026, needs more optimization.
9 508 0.589115643602 Henry Cohn, 2026, needs more optimization.
9 509 0.590019296217 Henry Cohn, 2026, needs more optimization.
9 510 0.590449234554 Henry Cohn, 2026, needs more optimization.
9 511 0.590826120256 Henry Cohn, 2026, needs more optimization.
9 512 0.591267731698 Henry Cohn, 2026, needs more optimization.
9 513 0.591660520831 Henry Cohn, 2026, needs more optimization.
9 514 0.592126408186 Henry Cohn, 2026, needs more optimization.
9 515 0.592403396767 Henry Cohn, 2026, needs more optimization.
9 516 0.593030335957 Henry Cohn, 2026, needs more optimization.
9 517 0.593287381403 Henry Cohn, 2026, needs more optimization.
9 518 0.593629203360 Henry Cohn, 2026, needs more optimization.
9 519 0.594116209891 Henry Cohn, 2026, needs more optimization.
9 520 0.594438317954 Henry Cohn, 2026, needs more optimization.
9 521 0.594858542274 Henry Cohn, 2026, needs more optimization.
9 522 0.595207612181 Henry Cohn, 2026, needs more optimization.
9 523 0.595529659257 Henry Cohn, 2026, needs more optimization.
9 524 0.595870728470 Henry Cohn, 2026, needs more optimization.
9 525 0.596273116516 Henry Cohn, 2026, needs more optimization.
9 526 0.596595952034 Henry Cohn, 2026, needs more optimization.
9 527 0.596622855252 Henry Cohn, 2026, needs more optimization.
9 528 0.597087121314 Henry Cohn, 2026, needs more optimization.
9 529 0.597197813579 Henry Cohn, 2026, needs more optimization.
9 530 0.597425683142 Henry Cohn, 2026, needs more optimization.
9 531 0.597696904554 Henry Cohn, 2026, needs more optimization.
9 532 0.597842841368 Henry Cohn, 2026, needs more optimization.
9 533 0.598246743301 Henry Cohn, 2026, needs more optimization.
9 534 0.598418285847 Henry Cohn, 2026, needs more optimization.
9 535 0.598616970016 Henry Cohn, 2026, needs more optimization.
9 536 0.598651488836 Henry Cohn, 2026, needs more optimization.
9 537 0.598820797247 Henry Cohn, 2026, needs more optimization.
9 538 0.599021001730 Henry Cohn, 2026, needs more optimization.
9 539 0.599461967944 Henry Cohn, 2026, needs more optimization.
9 540 0.599781819766 Henry Cohn, 2026, needs more optimization.
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 0.605105074048 Henry Cohn, 2026, needs more optimization.
9 616 0.614202771058 Henry Cohn, 2026, needs more optimization.
9 617 0.615708915702 Henry Cohn, 2026, needs more optimization.
9 618 0.615756324276 Henry Cohn, 2026, needs more optimization.
9 619 0.615823269636 Henry Cohn, 2026, needs more optimization.
9 620 0.616155816798 Henry Cohn, 2026, needs more optimization.
9 621 0.616254182836 Henry Cohn, 2026, needs more optimization.
9 622 0.616436689361 Henry Cohn, 2026, needs more optimization.
9 623 0.616465808140 Henry Cohn, 2026, needs more optimization.
9 624 0.616753099156 Henry Cohn, 2026, needs more optimization.
9 625 0.616876296115 Henry Cohn, 2026, needs more optimization.
9 626 0.617078503370 Henry Cohn, 2026, needs more optimization.
9 627 0.617167322813 Henry Cohn, 2026, needs more optimization.
9 628 0.617234763787 Henry Cohn, 2026, needs more optimization.
9 631 0.617374578969 Henry Cohn, 2026, needs more optimization.
9 632 0.617584781380 Henry Cohn, 2026, needs more optimization.
9 633 0.617752928165 Henry Cohn, 2026, needs more optimization.
9 634 0.618033283571 Henry Cohn, 2026, needs more optimization.
9 641 0.618033524448 Henry Cohn, 2026, needs more optimization.
9 642 0.618033816640 Henry Cohn, 2026, needs more optimization.
9 643 0.618033988073 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 0.624182462477 Henry Cohn, 2026, needs more optimization.
9 724 0.642734833743 Henry Cohn, 2026, needs more optimization.
9 725 0.642940432076 Henry Cohn, 2026, needs more optimization.
9 726 0.643192615694 Henry Cohn, 2026, needs more optimization.
9 727 0.643254326513 Henry Cohn, 2026, needs more optimization.
9 728 0.643364522900 Henry Cohn, 2026, needs more optimization.
9 729 0.643651134115 Henry Cohn, 2026, needs more optimization.
9 730 0.643679183146 Henry Cohn, 2026, needs more optimization.
9 731 0.643707398203 Henry Cohn, 2026, needs more optimization.
9 732 0.643712370360 Henry Cohn, 2026, needs more optimization.
9 733 0.643829091594 Henry Cohn, 2026, needs more optimization.
9 734 0.644269137959 Henry Cohn, 2026, needs more optimization.
9 735 0.644275212489 Henry Cohn, 2026, needs more optimization.
9 736 0.644491847785 Henry Cohn, 2026, needs more optimization.
9 738 0.644566342854 Henry Cohn, 2026, needs more optimization.
9 739 0.644945429270 Henry Cohn, 2026, needs more optimization.
9 740 0.645085545849 Henry Cohn, 2026, needs more optimization.
9 741 0.645105882376 Henry Cohn, 2026, needs more optimization.
9 742 0.645167647736 Henry Cohn, 2026, needs more optimization.
9 743 0.645218013025 Henry Cohn, 2026, needs more optimization.
9 744 0.645330371591 Henry Cohn, 2026, needs more optimization.
9 745 0.645658898983 Henry Cohn, 2026, needs more optimization.
9 746 0.645662904024 Henry Cohn, 2026, needs more optimization.
9 747 0.645674473369 Henry Cohn, 2026, needs more optimization.
9 748 0.645733908744 Henry Cohn, 2026, needs more optimization.
9 749 0.645791357303 Henry Cohn, 2026, needs more optimization.
9 750 0.646040331079 Henry Cohn, 2026, needs more optimization.
9 751 0.646116345826 Henry Cohn, 2026, needs more optimization.
9 752 0.646434152581 Henry Cohn, 2026, needs more optimization.
9 753 0.646628870433 Henry Cohn, 2026, needs more optimization.
9 754 0.646640495508 Henry Cohn, 2026, needs more optimization.
9 755 0.646651493345 Henry Cohn, 2026, needs more optimization.
9 756 0.646809620524 Henry Cohn, 2026, needs more optimization.
9 757 0.647002232346 Henry Cohn, 2026, needs more optimization.
9 758 0.647166139605 Henry Cohn, 2026, needs more optimization.
9 760 0.647404154177 Henry Cohn, 2026, needs more optimization.
9 761 0.647438951264 Henry Cohn, 2026, needs more optimization.
9 762 0.647493600488 Henry Cohn, 2026, needs more optimization.
9 763 0.647868332521 Henry Cohn, 2026, needs more optimization.
9 764 0.647892137971 Henry Cohn, 2026, needs more optimization.
9 765 0.648153586359 Henry Cohn, 2026, needs more optimization.
9 766 0.648174447495 Henry Cohn, 2026, needs more optimization.
9 767 0.648201575174 Henry Cohn, 2026, needs more optimization.
9 768 0.648275785007 Henry Cohn, 2026, needs more optimization.
9 769 0.648489430672 Henry Cohn, 2026, needs more optimization.
9 770 0.648525378931 Henry Cohn, 2026, needs more optimization.
9 771 0.648975903378 Henry Cohn, 2026, needs more optimization.
9 773 0.648975932406 Henry Cohn, 2026, needs more optimization.
9 774 0.649049866559 Henry Cohn, 2026, needs more optimization.
9 776 0.649292717563 Henry Cohn, 2026, needs more optimization.
9 777 0.649364774194 Henry Cohn, 2026, needs more optimization.
9 778 0.649381779372 Henry Cohn, 2026, needs more optimization.
9 779 0.649871763639 Henry Cohn, 2026, needs more optimization.
9 780 0.649918271222 Henry Cohn, 2026, needs more optimization.
9 781 0.649947444903 Henry Cohn, 2026, needs more optimization.
9 782 0.650097938568 Henry Cohn, 2026, needs more optimization.
9 783 0.650123145497 Henry Cohn, 2026, needs more optimization.
9 784 0.650177798115 Henry Cohn, 2026, needs more optimization.
9 785 0.650205564063 Henry Cohn, 2026, needs more optimization.
9 786 0.650671098365 Henry Cohn, 2026, needs more optimization.
9 787 0.650711770687 Henry Cohn, 2026, needs more optimization.
9 788 0.650741412337 Henry Cohn, 2026, needs more optimization.
9 789 0.650827879975 Henry Cohn, 2026, needs more optimization.
9 790 0.651039596165 Henry Cohn, 2026, needs more optimization.
9 791 0.651288900320 Henry Cohn, 2026, needs more optimization.
9 792 0.651295458782 Henry Cohn, 2026, needs more optimization.
9 793 0.651386313518 Henry Cohn, 2026, needs more optimization.
9 794 0.651526523791 Henry Cohn, 2026, needs more optimization.
9 795 0.651645742881 Henry Cohn, 2026, needs more optimization.
9 796 0.651652620314 Henry Cohn, 2026, needs more optimization.
9 797 0.651682645355 Henry Cohn, 2026, needs more optimization.
9 798 0.651871149953 Henry Cohn, 2026, needs more optimization.
9 799 0.652149293163 Henry Cohn, 2026, needs more optimization.
9 800 0.652161370068 Henry Cohn, 2026, needs more optimization.
9 801 0.652211244907 Henry Cohn, 2026, needs more optimization.
9 802 0.652274223271 Henry Cohn, 2026, needs more optimization.
9 803 0.652515969238 Henry Cohn, 2026, needs more optimization.
9 804 0.652544939544 Henry Cohn, 2026, needs more optimization.
9 805 0.652557977808 Henry Cohn, 2026, needs more optimization.
9 806 0.652697594698 Henry Cohn, 2026, needs more optimization.
9 807 0.652904449306 Henry Cohn, 2026, needs more optimization.
9 808 0.652949145591 Henry Cohn, 2026, needs more optimization.
9 809 0.653149763370 Henry Cohn, 2026, needs more optimization.
9 810 0.653167528053 Henry Cohn, 2026, needs more optimization.
9 811 0.653225186124 Henry Cohn, 2026, needs more optimization.
9 812 0.653359629328 Henry Cohn, 2026, needs more optimization.
9 813 0.653431490878 Henry Cohn, 2026, needs more optimization.
9 814 0.653677664001 Henry Cohn, 2026, needs more optimization.
9 815 0.653764272563 Henry Cohn, 2026, needs more optimization.
9 816 0.653814047740 Henry Cohn, 2026, needs more optimization.
9 817 0.653840375458 Henry Cohn, 2026, needs more optimization.
9 818 0.653918809661 Henry Cohn, 2026, needs more optimization.
9 820 0.654126145856 Henry Cohn, 2026, needs more optimization.
9 821 0.654209421832 Henry Cohn, 2026, needs more optimization.
9 822 0.654235826439 Henry Cohn, 2026, needs more optimization.
9 823 0.654373573798 Henry Cohn, 2026, needs more optimization.
9 824 0.654464458067 Henry Cohn, 2026, needs more optimization.
9 825 0.654613358049 Henry Cohn, 2026, needs more optimization.
9 826 0.654795747401 Henry Cohn, 2026, needs more optimization.
9 827 0.654992976743 Henry Cohn, 2026, needs more optimization.
9 828 0.655000233184 Henry Cohn, 2026, needs more optimization.
9 829 0.655218926120 Henry Cohn, 2026, needs more optimization.
9 830 0.655431737546 Henry Cohn, 2026, needs more optimization.
9 831 0.655447711869 Henry Cohn, 2026, needs more optimization.
9 832 0.655455603415 Henry Cohn, 2026, needs more optimization.
9 833 0.655643895466 Henry Cohn, 2026, needs more optimization.
9 834 0.655681418143 Henry Cohn, 2026, needs more optimization.
9 835 0.655830161637 Henry Cohn, 2026, needs more optimization.
9 836 0.655868714138 Henry Cohn, 2026, needs more optimization.
9 838 0.656242838151 Henry Cohn, 2026, needs more optimization.
9 839 0.656335775065 Henry Cohn, 2026, needs more optimization.
9 840 0.656560952109 Henry Cohn, 2026, needs more optimization.
9 842 0.656804016748 Henry Cohn, 2026, needs more optimization.
9 843 0.657083414535 Henry Cohn, 2026, needs more optimization.
9 844 0.657093238362 Henry Cohn, 2026, needs more optimization.
9 845 0.657135587612 Henry Cohn, 2026, needs more optimization.
9 846 0.657389086111 Henry Cohn, 2026, needs more optimization.
9 848 0.657413818724 Henry Cohn, 2026, needs more optimization.
9 849 0.657446195721 Henry Cohn, 2026, needs more optimization.
9 850 0.657516735418 Henry Cohn, 2026, needs more optimization.
9 851 0.657746113487 Henry Cohn, 2026, needs more optimization.
9 852 0.657787244903 Henry Cohn, 2026, needs more optimization.
9 853 0.657799958721 Henry Cohn, 2026, needs more optimization.
9 854 0.657811004714 Henry Cohn, 2026, needs more optimization.
9 855 0.657994029016 Henry Cohn, 2026, needs more optimization.
9 856 0.658318639669 Henry Cohn, 2026, needs more optimization.
9 857 0.658361252903 Henry Cohn, 2026, needs more optimization.
9 858 0.658555799496 Henry Cohn, 2026, needs more optimization.
9 859 0.658610574516 Henry Cohn, 2026, needs more optimization.
9 860 0.658776661940 Henry Cohn, 2026, needs more optimization.
9 861 0.658822611288 Henry Cohn, 2026, needs more optimization.
9 862 0.659021244952 Henry Cohn, 2026, needs more optimization.
9 863 0.659042323165 Henry Cohn, 2026, needs more optimization.
9 864 0.659253167701 Henry Cohn, 2026, needs more optimization.
9 865 0.659341722327 Henry Cohn, 2026, needs more optimization.
9 866 0.659351885611 Henry Cohn, 2026, needs more optimization.
9 867 0.659590405341 Henry Cohn, 2026, needs more optimization.
9 868 0.659601517904 Henry Cohn, 2026, needs more optimization.
9 869 0.659628119036 Henry Cohn, 2026, needs more optimization.
9 870 0.659775118859 Henry Cohn, 2026, needs more optimization.
9 871 0.659787821052 Henry Cohn, 2026, needs more optimization.
9 872 0.659998607394 Henry Cohn, 2026, needs more optimization.
9 873 0.660109697521 Henry Cohn, 2026, needs more optimization.
9 874 0.660230563294 Henry Cohn, 2026, needs more optimization.
9 875 0.660487529962 Henry Cohn, 2026, needs more optimization.
9 876 0.660492413358 Henry Cohn, 2026, needs more optimization.
9 877 0.660499111506 Henry Cohn, 2026, needs more optimization.
9 878 0.660521681066 Henry Cohn, 2026, needs more optimization.
9 879 0.660587138431 Henry Cohn, 2026, needs more optimization.
9 880 0.660632402102 Henry Cohn, 2026, needs more optimization.
9 881 0.660977096392 Henry Cohn, 2026, needs more optimization.
9 882 0.661016694918 Henry Cohn, 2026, needs more optimization.
9 883 0.661030271036 Henry Cohn, 2026, needs more optimization.
9 884 0.661143628943 Henry Cohn, 2026, needs more optimization.
9 885 0.661237629596 Henry Cohn, 2026, needs more optimization.
9 886 0.661241276234 Henry Cohn, 2026, needs more optimization.
9 887 0.661276927581 Henry Cohn, 2026, needs more optimization.
9 888 0.661647282768 Henry Cohn, 2026, needs more optimization.
9 889 0.661694799853 Henry Cohn, 2026, needs more optimization.
9 890 0.661733456517 Henry Cohn, 2026, needs more optimization.
9 891 0.661742200089 Henry Cohn, 2026, needs more optimization.
9 892 0.661934946059 Henry Cohn, 2026, needs more optimization.
9 893 0.661989531975 Henry Cohn, 2026, needs more optimization.
9 894 0.662032980058 Henry Cohn, 2026, needs more optimization.
9 895 0.662242426748 Henry Cohn, 2026, needs more optimization.
9 896 0.662276493763 Henry Cohn, 2026, needs more optimization.
9 897 0.662302714688 Henry Cohn, 2026, needs more optimization.
9 898 0.662519892977 Henry Cohn, 2026, needs more optimization.
9 899 0.662534066047 Henry Cohn, 2026, needs more optimization.
9 900 0.662630711000 Henry Cohn, 2026, needs more optimization.
9 901 0.662637303247 Henry Cohn, 2026, needs more optimization.
9 902 0.663085340968 Henry Cohn, 2026, needs more optimization.
9 903 0.663123294024 Henry Cohn, 2026, needs more optimization.
9 904 0.663127977143 Henry Cohn, 2026, needs more optimization.
9 905 0.663179614619 Henry Cohn, 2026, needs more optimization.
9 906 0.663318369274 Henry Cohn, 2026, needs more optimization.
9 907 0.663372299484 Henry Cohn, 2026, needs more optimization.
9 908 0.663389365150 Henry Cohn, 2026, needs more optimization.
9 909 0.663582123412 Henry Cohn, 2026, needs more optimization.
9 910 0.663629172188 Henry Cohn, 2026, needs more optimization.
9 912 0.663854061776 Henry Cohn, 2026, needs more optimization.
9 913 0.663876904969 Henry Cohn, 2026, needs more optimization.
9 914 0.663894572798 Henry Cohn, 2026, needs more optimization.
9 915 0.663951765008 Henry Cohn, 2026, needs more optimization.
9 916 0.664203659310 Henry Cohn, 2026, needs more optimization.
9 917 0.664212048524 Henry Cohn, 2026, needs more optimization.
9 918 0.664314220161 Henry Cohn, 2026, needs more optimization.
9 919 0.664681668184 Henry Cohn, 2026, needs more optimization.
9 920 0.664705233275 Henry Cohn, 2026, needs more optimization.
9 921 0.664725040664 Henry Cohn, 2026, needs more optimization.
9 922 0.664996115478 Henry Cohn, 2026, needs more optimization.
9 923 0.665036956415 Henry Cohn, 2026, needs more optimization.
9 924 0.665081345456 Henry Cohn, 2026, needs more optimization.
9 925 0.665334306282 Henry Cohn, 2026, needs more optimization.
9 926 0.665358156161 Henry Cohn, 2026, needs more optimization.
9 927 0.665376436975 Henry Cohn, 2026, needs more optimization.
9 929 0.665650097313 Henry Cohn, 2026, needs more optimization.
9 930 0.665727476429 Henry Cohn, 2026, needs more optimization.
9 931 0.666013465213 Henry Cohn, 2026, needs more optimization.
9 932 0.666173363355 Henry Cohn, 2026, needs more optimization.
9 933 0.666232333321 Henry Cohn, 2026, needs more optimization.
9 934 0.666384255871 Henry Cohn, 2026, needs more optimization.
9 935 0.666572408413 Henry Cohn, 2026, needs more optimization.
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 0.130634295944 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 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 0.150182198338 Henry Cohn, 2025.
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 0.196163849637 Henry Cohn, 2026.
10 43 0.205622503031 Henry Cohn, 2025.
10 44 0.209906238690 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, 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 45 0.210496566837 Henry Cohn, 2026.
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 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.
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.
10 64 0.260558293949 Henry Cohn, 2026.
10 65 0.264885834877 Henry Cohn, 2025.
10 66 0.265168946762 Henry Cohn, 2025.
10 67 0.268064425530 Henry Cohn, 2025.
10 68 0.268895655142 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, 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 69 0.269775337242 Henry Cohn, 2026.
10 70 0.271729029619 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 0.279604372367 Henry Cohn, 2026, needs more optimization.
10 75 0.283455182208 Henry Cohn, 2026.
10 76 0.284096667917 Henry Cohn, 2025.
10 77 0.284910960402 Henry Cohn, 2025.
10 78 0.289737128115 Henry Cohn, 2026, needs more optimization.
10 79 0.295238353835 Henry Cohn, 2026, needs more optimization.
10 80 0.299105344231 Henry Cohn, 2026, needs more optimization.
10 81 0.301759908598 Henry Cohn, 2026, needs more optimization.
10 82 0.304426716292 Henry Cohn, 2026, needs more optimization.
10 83 0.307851642008 Henry Cohn, 2026, needs more optimization.
10 84 0.310848806540 Henry Cohn, 2026, needs more optimization.
10 85 0.318197566143 Henry Cohn, 2026, needs more optimization.
10 86 0.322133293315 Henry Cohn, 2026.
10 87 0.323321961159 Henry Cohn, 2026.
10 88 0.324088773612 Henry Cohn, 2026, needs more optimization.
10 89 0.324779217925 Henry Cohn, 2026, needs more optimization.
10 90 0.325389381674 Henry Cohn, 2026, needs more optimization.
10 91 0.326529043496 Henry Cohn, 2026, needs more optimization.
10 92 0.327951650403 Henry Cohn, 2026, needs more optimization.
10 93 0.328644914787 Henry Cohn, 2026, needs more optimization.
10 94 0.329362003078 Henry Cohn, 2026.
10 95 0.329854854198 Henry Cohn, 2025, needs more optimization.
10 96 0.330250323819 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, 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 0.330440759145 Henry Cohn, 2026, needs more optimization.
10 98 0.330498761940 Henry Cohn, 2026, needs more optimization.
10 99 0.330654923978 Henry Cohn, 2026.
10 100 0.330970399465 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
10 101 0.331169613949 Henry Cohn, 2026, needs more optimization.
10 102 0.331364193730 Henry Cohn, 2026, needs more optimization.
10 103 0.333150362189 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
10 104 0.333227864338 Henry Cohn, 2026, needs more optimization.
10 105 0.333264269306 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
10 106 0.333302964735 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
10 107 0.333306675605 Henry Cohn, 2026, needs more optimization.
10 108 0.333307708289 Henry Cohn, 2026, needs more optimization.
10 109 0.335268817299 Henry Cohn, 2026, needs more optimization.
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 0.342178111013 Henry Cohn, 2026, needs more optimization.
10 112 0.344830048619 Henry Cohn, 2026, needs more optimization.
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 0.348284998135 Henry Cohn, 2026, needs more optimization.
10 115 0.352515784788 Henry Cohn, 2026, needs more optimization.
10 116 0.353567823863 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, 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 0.358340499611 Henry Cohn, 2026, needs more optimization.
10 118 0.361677223025 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
10 119 0.363761710067 Henry Cohn, 2026, needs more optimization.
10 120 0.364675023580 Henry Cohn, 2026, needs more optimization.
10 121 0.365192370605 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, 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 0.365459215856 Henry Cohn, 2026, needs more optimization.
10 124 0.365550021069 Henry Cohn, 2026, needs more optimization.
10 125 0.365550181481 Henry Cohn, 2026, needs more optimization.
10 126 0.365557997497 Henry Cohn, 2026, needs more optimization.
10 127 0.366035053027 Henry Cohn, 2024.
10 128 0.367843362428 Henry Cohn, 2026, needs more optimization.
10 129 0.370352757639 Henry Cohn, 2026, needs more optimization.
10 130 0.371247320210 Henry Cohn, 2026, needs more optimization.
10 131 0.371343446604 Henry Cohn, 2026, needs more optimization.
10 132 0.371409893582 Henry Cohn, 2026, needs more optimization.
10 133 0.385288542346 Henry Cohn, 2026, needs more optimization.
10 134 0.389768459446 Henry Cohn, 2026, needs more optimization.
10 135 0.392340761166 Henry Cohn, 2026, needs more optimization.
10 136 0.393476369914 Henry Cohn, 2026, needs more optimization.
10 137 0.396212763308 Henry Cohn, 2026, needs more optimization.
10 138 0.398651390972 Henry Cohn, 2026, needs more optimization.
10 139 0.400187109545 Henry Cohn, 2026, needs more optimization.
10 140 0.401787413901 Henry Cohn, 2026, needs more optimization.
10 141 0.403139490787 Henry Cohn, 2026, needs more optimization.
10 142 0.404397831423 Henry Cohn, 2026, needs more optimization.
10 156 0.405827419558 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
11⁢x2−2⁢x−1
10 157 0.413096978622 Henry Cohn, 2026, needs more optimization.
10 158 0.414041442530 Henry Cohn, 2026, needs more optimization.
10 159 0.415039473511 Henry Cohn, 2026, needs more optimization.
10 160 0.416103420616 Henry Cohn, 2026, needs more optimization.
10 161 0.416911508822 Henry Cohn, 2026, needs more optimization.
10 162 0.418077619566 Henry Cohn, 2026, needs more optimization.
10 163 0.419225030145 Henry Cohn, 2026, needs more optimization.
10 164 0.420594116236 Henry Cohn, 2026, needs more optimization.
10 165 0.421680350538 Henry Cohn, 2026, needs more optimization.
10 166 0.422486764290 Henry Cohn, 2026, needs more optimization.
10 167 0.423423740060 Henry Cohn, 2026, needs more optimization.
10 168 0.424374959358 Henry Cohn, 2026, needs more optimization.
10 169 0.425515856893 Henry Cohn, 2026, needs more optimization.
10 170 0.425992943746 Henry Cohn, 2026, needs more optimization.
10 171 0.427021657823 Henry Cohn, 2026, needs more optimization.
10 172 0.428168916140 Henry Cohn, 2026, needs more optimization.
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 0.438692154355 Henry Cohn, 2026, needs more optimization.
10 196 0.441226110614 Henry Cohn, 2026, needs more optimization.
10 197 0.443966476962 Henry Cohn, 2026, needs more optimization.
10 198 0.445538482333 Henry Cohn, 2026, needs more optimization.
10 199 0.447192913667 Henry Cohn, 2026, needs more optimization.
10 200 0.448234117970 Henry Cohn, 2026, needs more optimization.
10 201 0.449274722761 Henry Cohn, 2026, needs more optimization.
10 202 0.450508345097 Henry Cohn, 2026, needs more optimization.
10 203 0.451663310532 Henry Cohn, 2026, needs more optimization.
10 204 0.452579690897 Henry Cohn, 2026, needs more optimization.
10 205 0.453663103739 Henry Cohn, 2026, needs more optimization.
10 206 0.454677512023 Henry Cohn, 2026, needs more optimization.
10 207 0.454785809868 Henry Cohn, 2026, needs more optimization.
10 208 0.454788690690 Henry Cohn, 2026, needs more optimization.
10 209 0.454936679856 Henry Cohn, 2026, needs more optimization.
10 210 0.454954788795 Henry Cohn, 2026, needs more optimization.
10 211 0.455021791231 Henry Cohn, 2026, needs more optimization.
10 212 0.455060156294 Henry Cohn, 2026, needs more optimization.
10 213 0.455124216045 Henry Cohn, 2026, needs more optimization.
10 214 0.455201764559 Henry Cohn, 2026, needs more optimization.
10 237 0.455341801262 Henry Cohn, 2026.
18⁢x2−6⁢x−1
10 238 0.455721851312 Henry Cohn, 2026, needs more optimization.
10 239 0.456306620288 Henry Cohn, 2026, needs more optimization.
10 240 0.457927107441 Henry Cohn, 2026, needs more optimization.
10 241 0.458082434807 Henry Cohn, 2026, needs more optimization.
10 242 0.458090694179 Henry Cohn, 2026, needs more optimization.
10 243 0.458110284929 Henry Cohn, 2026, needs more optimization.
10 244 0.458193308786 Henry Cohn, 2026, needs more optimization.
10 245 0.459791635082 Henry Cohn, 2026, needs more optimization.
10 246 0.461415657529 Henry Cohn, 2026, needs more optimization.
10 247 0.463341349644 Henry Cohn, 2026, needs more optimization.
10 248 0.464984442332 Henry Cohn, 2026, needs more optimization.
10 249 0.466113528862 Henry Cohn, 2026, needs more optimization.
10 250 0.468065445437 Henry Cohn, 2026, needs more optimization.
10 251 0.468780925062 Henry Cohn, 2026, needs more optimization.
10 252 0.469978909210 Henry Cohn, 2026, needs more optimization.
10 253 0.471227041685 Henry Cohn, 2026, needs more optimization.
10 254 0.471762305487 Henry Cohn, 2026, needs more optimization.
10 255 0.471947013524 Henry Cohn, 2026, needs more optimization.
10 256 0.473702234152 Henry Cohn, 2026, needs more optimization.
10 257 0.474333228593 Henry Cohn, 2026, needs more optimization.
10 258 0.474487555249 Henry Cohn, 2026, needs more optimization.
10 259 0.475812942717 Henry Cohn, 2026, needs more optimization.
10 260 0.476168853751 Henry Cohn, 2026, needs more optimization.
10 261 0.476766675385 Henry Cohn, 2026, needs more optimization.
10 262 0.477491533172 Henry Cohn, 2026, needs more optimization.
10 263 0.478640851984 Henry Cohn, 2026, needs more optimization.
10 264 0.478927361324 Henry Cohn, 2026, needs more optimization.
10 265 0.478995843062 Henry Cohn, 2026, needs more optimization.
10 266 0.479064812921 Henry Cohn, 2026, needs more optimization.
10 267 0.479344055689 Henry Cohn, 2026, needs more optimization.
10 268 0.479635966025 Henry Cohn, 2026, needs more optimization.
10 269 0.479829943011 Henry Cohn, 2026, needs more optimization.
10 270 0.480352721182 Henry Cohn, 2026, needs more optimization.
10 271 0.480397325733 Henry Cohn, 2026, needs more optimization.
10 272 0.480440707065 Henry Cohn, 2026, needs more optimization.
10 273 0.480865641259 Henry Cohn, 2026, needs more optimization.
10 274 0.481088207444 Henry Cohn, 2026, needs more optimization.
10 275 0.481132507140 Henry Cohn, 2026, needs more optimization.
10 276 0.481257682439 Henry Cohn, 2026, needs more optimization.
10 277 0.481651940926 Henry Cohn, 2026, needs more optimization.
10 278 0.483360744195 Henry Cohn, 2026, needs more optimization.
10 279 0.483652456974 Henry Cohn, 2026, needs more optimization.
10 280 0.483944598275 Henry Cohn, 2026, needs more optimization.
10 281 0.484325909526 Henry Cohn, 2026, needs more optimization.
10 282 0.484546797597 Henry Cohn, 2026, needs more optimization.
10 283 0.485079186718 Henry Cohn, 2026, needs more optimization.
10 284 0.485370158399 Henry Cohn, 2026, needs more optimization.
10 285 0.485458104588 Henry Cohn, 2026, needs more optimization.
10 286 0.485769967793 Henry Cohn, 2026, needs more optimization.
10 287 0.486082509762 Henry Cohn, 2026, needs more optimization.
10 288 0.486390107773 Henry Cohn, 2026, needs more optimization.
10 289 0.486620935328 Henry Cohn, 2026, needs more optimization.
10 290 0.486761734848 Henry Cohn, 2026, needs more optimization.
10 291 0.487066457888 Henry Cohn, 2026, needs more optimization.
10 292 0.487412951374 Henry Cohn, 2026, needs more optimization.
10 293 0.487585290314 Henry Cohn, 2026, needs more optimization.
10 294 0.488035547543 Henry Cohn, 2026, needs more optimization.
10 295 0.488372433927 Henry Cohn, 2026, needs more optimization.
10 296 0.488508033344 Henry Cohn, 2026, needs more optimization.
10 297 0.488613691301 Henry Cohn, 2026, needs more optimization.
10 298 0.488790129482 Henry Cohn, 2026, needs more optimization.
10 299 0.489126506922 Henry Cohn, 2026, needs more optimization.
10 300 0.489307227209 Henry Cohn, 2026, needs more optimization.
10 301 0.489412191875 Henry Cohn, 2026, needs more optimization.
10 302 0.489530459383 Henry Cohn, 2026, needs more optimization.
10 303 0.489683690809 Henry Cohn, 2026, needs more optimization.
10 304 0.490066549557 Henry Cohn, 2026, needs more optimization.
10 305 0.490437925029 Henry Cohn, 2026, needs more optimization.
10 306 0.490880604978 Henry Cohn, 2026, needs more optimization.
10 307 0.491016143229 Henry Cohn, 2026, needs more optimization.
10 308 0.491140886818 Henry Cohn, 2026, needs more optimization.
10 309 0.491222369652 Henry Cohn, 2026, needs more optimization.
10 310 0.491296152338 Henry Cohn, 2026, needs more optimization.
10 311 0.491425894398 Henry Cohn, 2026, needs more optimization.
10 312 0.491601969418 Henry Cohn, 2026, needs more optimization.
10 313 0.492038256377 Henry Cohn, 2026, needs more optimization.
10 314 0.492048479115 Henry Cohn, 2026, needs more optimization.
10 315 0.492697353115 Henry Cohn, 2026, needs more optimization.
10 316 0.492790928908 Henry Cohn, 2026, needs more optimization.
10 317 0.493113530099 Henry Cohn, 2026, needs more optimization.
10 318 0.493234790348 Henry Cohn, 2026, needs more optimization.
10 319 0.493911988292 Henry Cohn, 2026, needs more optimization.
10 320 0.494169489262 Henry Cohn, 2026, needs more optimization.
10 321 0.494300770105 Henry Cohn, 2026, needs more optimization.
10 322 0.494507879604 Henry Cohn, 2026, needs more optimization.
10 323 0.494765117826 Henry Cohn, 2026, needs more optimization.
10 324 0.494787062590 Henry Cohn, 2026, needs more optimization.
10 325 0.494861751668 Henry Cohn, 2026, needs more optimization.
10 326 0.494981530419 Henry Cohn, 2026, needs more optimization.
10 327 0.495026843785 Henry Cohn, 2026, needs more optimization.
10 328 0.495039712887 Henry Cohn, 2026, needs more optimization.
10 329 0.495088684914 Henry Cohn, 2026, needs more optimization.
10 330 0.495202031855 Henry Cohn, 2026, needs more optimization.
10 331 0.495404691183 Henry Cohn, 2026, needs more optimization.
10 332 0.495452649913 Henry Cohn, 2026, needs more optimization.
10 333 0.495721629860 Henry Cohn, 2026, needs more optimization.
10 334 0.496298919760 Henry Cohn, 2026, needs more optimization.
10 335 0.496418302304 Henry Cohn, 2026, needs more optimization.
10 336 0.496562084035 Henry Cohn, 2026, needs more optimization.
10 337 0.496827753796 Henry Cohn, 2026, needs more optimization.
10 338 0.496931459737 Henry Cohn, 2026, needs more optimization.
10 339 0.497053476536 Henry Cohn, 2026, needs more optimization.
10 340 0.497172245046 Henry Cohn, 2026, needs more optimization.
10 341 0.497303489899 Henry Cohn, 2026, needs more optimization.
10 342 0.497328316304 Henry Cohn, 2026, needs more optimization.
10 343 0.497410847978 Henry Cohn, 2026, needs more optimization.
10 344 0.497449580997 Henry Cohn, 2026, needs more optimization.
10 345 0.497570868886 Henry Cohn, 2026, needs more optimization.
10 346 0.498144949581 Henry Cohn, 2026, needs more optimization.
10 347 0.498280578593 Henry Cohn, 2026, needs more optimization.
10 348 0.498376503682 Henry Cohn, 2026, needs more optimization.
10 349 0.498387328308 Henry Cohn, 2026, needs more optimization.
10 350 0.498523524364 Henry Cohn, 2026, needs more optimization.
10 351 0.498649113773 Henry Cohn, 2026, needs more optimization.
10 352 0.498728964478 Henry Cohn, 2026, needs more optimization.
10 353 0.498743330835 Henry Cohn, 2026, needs more optimization.
10 354 0.498759416798 Henry Cohn, 2026, needs more optimization.
10 355 0.498779532443 Henry Cohn, 2026, needs more optimization.
10 356 0.498818141721 Henry Cohn, 2026, needs more optimization.
10 357 0.498860703276 Henry Cohn, 2026, needs more optimization.
10 358 0.499105022013 Henry Cohn, 2026, needs more optimization.
10 359 0.499262654941 Henry Cohn, 2026, needs more optimization.
10 360 0.499272318597 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 0.526723411869 Henry Cohn, 2026, needs more optimization.
10 512 0.530000839803 Henry Cohn, 2026, needs more optimization.
10 513 0.532756495185 Henry Cohn, 2026, needs more optimization.
10 514 0.533851900929 Henry Cohn, 2026, needs more optimization.
10 515 0.535036575412 Henry Cohn, 2026, needs more optimization.
10 516 0.536943291739 Henry Cohn, 2026, needs more optimization.
10 517 0.538186321725 Henry Cohn, 2026, needs more optimization.
10 518 0.538858634234 Henry Cohn, 2026, needs more optimization.
10 519 0.540301920752 Henry Cohn, 2026, needs more optimization.
10 520 0.541070069343 Henry Cohn, 2026, needs more optimization.
10 521 0.542228303864 Henry Cohn, 2026, needs more optimization.
10 522 0.543010263179 Henry Cohn, 2026, needs more optimization.
10 523 0.543647271306 Henry Cohn, 2026, needs more optimization.
10 524 0.544358223364 Henry Cohn, 2026, needs more optimization.
10 525 0.545226707394 Henry Cohn, 2026, needs more optimization.
10 526 0.545988351162 Henry Cohn, 2026, needs more optimization.
10 527 0.546338465366 Henry Cohn, 2026, needs more optimization.
10 528 0.547372432522 Henry Cohn, 2026, needs more optimization.
10 529 0.548033329419 Henry Cohn, 2026, needs more optimization.
10 530 0.548759019497 Henry Cohn, 2026, needs more optimization.
10 531 0.549363208238 Henry Cohn, 2026, needs more optimization.
10 532 0.549655187365 Henry Cohn, 2026, needs more optimization.
10 533 0.550240071946 Henry Cohn, 2026, needs more optimization.
10 534 0.550819112883 Henry Cohn, 2026, needs more optimization.
10 535 0.551334176524 Henry Cohn, 2026, needs more optimization.
10 536 0.552033720150 Henry Cohn, 2026, needs more optimization.
10 537 0.552523254340 Henry Cohn, 2026, needs more optimization.
10 538 0.553359921472 Henry Cohn, 2026, needs more optimization.
10 539 0.553516473480 Henry Cohn, 2026, needs more optimization.
10 540 0.554034281436 Henry Cohn, 2026, needs more optimization.
10 541 0.554471607970 Henry Cohn, 2026, needs more optimization.
10 542 0.554891100923 Henry Cohn, 2026, needs more optimization.
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
10 740 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 0.567868792791 Henry Cohn, 2026, needs more optimization.
10 773 0.569943681077 Henry Cohn, 2026, needs more optimization.
10 774 0.570780521516 Henry Cohn, 2026, needs more optimization.
10 776 0.571929156990 Henry Cohn, 2026, needs more optimization.
10 777 0.572476051575 Henry Cohn, 2026, needs more optimization.
10 779 0.572933079226 Henry Cohn, 2026, needs more optimization.
10 780 0.573595695974 Henry Cohn, 2026, needs more optimization.
10 781 0.573772930791 Henry Cohn, 2026, needs more optimization.
10 783 0.574439034154 Henry Cohn, 2026, needs more optimization.
10 784 0.575128455549 Henry Cohn, 2026, needs more optimization.
10 785 0.575537902169 Henry Cohn, 2026, needs more optimization.
10 786 0.576369994318 Henry Cohn, 2026, needs more optimization.
10 787 0.576688718547 Henry Cohn, 2026, needs more optimization.
10 788 0.577151488632 Henry Cohn, 2026, needs more optimization.
10 789 0.577213393345 Henry Cohn, 2026, needs more optimization.
10 790 0.577904125803 Henry Cohn, 2026, needs more optimization.
10 791 0.578173801240 Henry Cohn, 2026, needs more optimization.
10 792 0.578683060824 Henry Cohn, 2026, needs more optimization.
10 793 0.578967131225 Henry Cohn, 2026, needs more optimization.
10 794 0.579633647578 Henry Cohn, 2026, needs more optimization.
10 795 0.579879575026 Henry Cohn, 2026, needs more optimization.
10 796 0.580147541488 Henry Cohn, 2026, needs more optimization.
10 797 0.580549173359 Henry Cohn, 2026, needs more optimization.
10 798 0.580628401087 Henry Cohn, 2026, needs more optimization.
10 799 0.581830586543 Henry Cohn, 2026, needs more optimization.
10 800 0.581962607287 Henry Cohn, 2026, needs more optimization.
10 801 0.583041975521 Henry Cohn, 2026, needs more optimization.
10 802 0.583095121057 Henry Cohn, 2026, needs more optimization.
10 803 0.583398952490 Henry Cohn, 2026, needs more optimization.
10 804 0.583575623675 Henry Cohn, 2026, needs more optimization.
10 805 0.584240349549 Henry Cohn, 2026, needs more optimization.
10 806 0.584352051919 Henry Cohn, 2026, needs more optimization.
10 808 0.584490247895 Henry Cohn, 2026, needs more optimization.
10 809 0.584775757944 Henry Cohn, 2026, needs more optimization.
10 810 0.585272012420 Henry Cohn, 2026, needs more optimization.
10 812 0.585413444502 Henry Cohn, 2026, needs more optimization.
10 813 0.585475207706 Henry Cohn, 2026, needs more optimization.
10 814 0.585591542355 Henry Cohn, 2026, needs more optimization.
10 815 0.585656082677 Henry Cohn, 2026, needs more optimization.
10 816 0.585778187147 Henry Cohn, 2026, needs more optimization.
10 817 0.586306059484 Henry Cohn, 2026, needs more optimization.
10 819 0.586498355306 Henry Cohn, 2026, needs more optimization.
10 820 0.586586676452 Henry Cohn, 2026, needs more optimization.
10 821 0.586812109631 Henry Cohn, 2026, needs more optimization.
10 822 0.587088522360 Henry Cohn, 2026, needs more optimization.
10 823 0.587272719805 Henry Cohn, 2026, needs more optimization.
10 824 0.587788554354 Henry Cohn, 2026, needs more optimization.
10 825 0.587997093584 Henry Cohn, 2026, needs more optimization.
10 826 0.588076872972 Henry Cohn, 2026, needs more optimization.
10 827 0.588322701645 Henry Cohn, 2026, needs more optimization.
10 828 0.588503540291 Henry Cohn, 2026, needs more optimization.
10 829 0.588825026442 Henry Cohn, 2026, needs more optimization.
10 830 0.589012009722 Henry Cohn, 2026, needs more optimization.
10 831 0.589312638241 Henry Cohn, 2026, needs more optimization.
10 832 0.589565998575 Henry Cohn, 2026, needs more optimization.
10 833 0.589776475305 Henry Cohn, 2026, needs more optimization.
10 837 0.590080223795 Henry Cohn, 2026, needs more optimization.
10 838 0.590303312361 Henry Cohn, 2026, needs more optimization.
10 839 0.590449286878 Henry Cohn, 2026, needs more optimization.
10 840 0.590678101842 Henry Cohn, 2026, needs more optimization.
10 841 0.590878098219 Henry Cohn, 2026, needs more optimization.
10 842 0.590947872845 Henry Cohn, 2026, needs more optimization.
10 844 0.591058659200 Henry Cohn, 2026, needs more optimization.
10 845 0.591189838282 Henry Cohn, 2026, needs more optimization.
10 846 0.591520703228 Henry Cohn, 2026, needs more optimization.
10 847 0.591540494930 Henry Cohn, 2026, needs more optimization.
10 848 0.591687894677 Henry Cohn, 2026, needs more optimization.
10 849 0.591974149620 Henry Cohn, 2026, needs more optimization.
10 850 0.592060351810 Henry Cohn, 2026, needs more optimization.
10 851 0.592173749484 Henry Cohn, 2026, needs more optimization.
10 853 0.592420088354 Henry Cohn, 2026, needs more optimization.
10 854 0.592608276017 Henry Cohn, 2026, needs more optimization.
10 855 0.592717145121 Henry Cohn, 2026, needs more optimization.
10 856 0.592988335870 Henry Cohn, 2026, needs more optimization.
10 857 0.593093553400 Henry Cohn, 2026, needs more optimization.
10 858 0.593392927911 Henry Cohn, 2026, needs more optimization.
10 859 0.593529299856 Henry Cohn, 2026, needs more optimization.
10 860 0.593815049602 Henry Cohn, 2026, needs more optimization.
10 861 0.594044747543 Henry Cohn, 2026, needs more optimization.
10 862 0.594293057279 Henry Cohn, 2026, needs more optimization.
10 863 0.594519478718 Henry Cohn, 2026, needs more optimization.
10 864 0.594523360775 Henry Cohn, 2026, needs more optimization.
10 866 0.594553686581 Henry Cohn, 2026, needs more optimization.
10 867 0.594563626840 Henry Cohn, 2026, needs more optimization.
10 868 0.594661991661 Henry Cohn, 2026, needs more optimization.
10 870 0.594692846717 Henry Cohn, 2026, needs more optimization.
10 871 0.594763870847 Henry Cohn, 2026, needs more optimization.
10 872 0.594971409076 Henry Cohn, 2026, needs more optimization.
10 873 0.595119260070 Henry Cohn, 2026, needs more optimization.
10 874 0.595239492568 Henry Cohn, 2026, needs more optimization.
10 875 0.595409161553 Henry Cohn, 2026, needs more optimization.
10 876 0.595699061095 Henry Cohn, 2026, needs more optimization.
10 878 0.595733102532 Henry Cohn, 2026, needs more optimization.
10 879 0.595956369898 Henry Cohn, 2026, needs more optimization.
10 880 0.596053346873 Henry Cohn, 2026, needs more optimization.
10 881 0.596196370353 Henry Cohn, 2026, needs more optimization.
10 882 0.596325760736 Henry Cohn, 2026, needs more optimization.
10 889 0.596381457822 Henry Cohn, 2026, needs more optimization.
10 890 0.596600407748 Henry Cohn, 2026, needs more optimization.
10 891 0.596749717078 Henry Cohn, 2026, needs more optimization.
10 892 0.596876861776 Henry Cohn, 2026, needs more optimization.
10 893 0.597077562095 Henry Cohn, 2026, needs more optimization.
10 894 0.597113848978 Henry Cohn, 2026, needs more optimization.
10 895 0.597177513220 Henry Cohn, 2026, needs more optimization.
10 896 0.597199731075 Henry Cohn, 2026, needs more optimization.
10 897 0.597348766965 Henry Cohn, 2026, needs more optimization.
10 899 0.597526481760 Henry Cohn, 2026, needs more optimization.
10 900 0.597703670634 Henry Cohn, 2026, needs more optimization.
10 901 0.597787617131 Henry Cohn, 2026, needs more optimization.
10 902 0.597843452318 Henry Cohn, 2026, needs more optimization.
10 903 0.597848035962 Henry Cohn, 2026, needs more optimization.
10 904 0.597890933121 Henry Cohn, 2026, needs more optimization.
10 905 0.598008692146 Henry Cohn, 2026, needs more optimization.
10 906 0.598009467021 Henry Cohn, 2026, needs more optimization.
10 910 0.598091826572 Henry Cohn, 2026, needs more optimization.
10 912 0.598291076414 Henry Cohn, 2026, needs more optimization.
10 913 0.598417908365 Henry Cohn, 2026, needs more optimization.
10 914 0.598465868363 Henry Cohn, 2026, needs more optimization.
10 915 0.598478010049 Henry Cohn, 2026, needs more optimization.
10 916 0.598557786017 Henry Cohn, 2026, needs more optimization.
10 917 0.598832332644 Henry Cohn, 2026, needs more optimization.
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 0.193275935700 Henry Cohn, 2025.
11 48 0.198565163418 Henry Cohn, 2025.
11 49 0.201215495510 Henry Cohn, 2025.
11 50 0.204597123448 Henry Cohn, 2026.
11 51 0.204957387535 Henry Cohn, 2023.
Minimal polynomial listed in plain text data
11 52 0.208005237402 Henry Cohn, 2024.
11 53 0.209755769703 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, 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 54 0.210461540583 Henry Cohn, 2026, needs more optimization.
11 55 0.211949051009 Henry Cohn, 2026.
11 56 0.214650086321 Henry Cohn, 2026.
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 0.232764852407 Henry Cohn, 2024.
295⁢x2−30⁢x−9
11 69 0.241565014044 Henry Cohn, 2025.
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 0.253231432637 Henry Cohn, 2026, needs more optimization.
11 73 0.253339641182 Henry Cohn, 2026, needs more optimization.
11 74 0.254990139082 Henry Cohn, 2026, needs more optimization.
11 75 0.255988313327 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, 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 0.258732322188 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, 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 0.259892832741 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, 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 78 0.260087123998 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, 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 79 0.260685334645 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, 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 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 0.263230805623 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, 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 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 0.265218731030 Henry Cohn, 2026, needs more optimization.
11 85 0.266213158428 Henry Cohn, 2026, needs more optimization.
11 90 0.267191024627 Henry Cohn, 2026.
71⁢x2−4⁢x−4
11 91 0.273036354862 Henry Cohn, 2026, needs more optimization.
11 92 0.280562763187 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, 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 93 0.281614171527 Henry Cohn, 2026, needs more optimization.
11 94 0.282805919347 Henry Cohn, 2026, needs more optimization.
11 95 0.283465032314 Henry Cohn, 2026, needs more optimization.
11 96 0.284713595166 Henry Cohn, 2026, needs more optimization.
11 97 0.285905520274 Henry Cohn, 2026, needs more optimization.
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 0.288712340707 Henry Cohn, 2026, needs more optimization.
11 100 0.299860274989 Henry Cohn, 2026, needs more optimization.
11 101 0.302859567704 Henry Cohn, 2026, needs more optimization.
11 102 0.304440333190 Henry Cohn, 2026, needs more optimization.
11 104 0.305242207297 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, 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 0.305250484673 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 106 0.307220308762 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 107 0.310786210597 Henry Cohn, 2026, needs more optimization.
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 0.319003371306 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, 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 0.321718173891 Henry Cohn, 2026, needs more optimization.
11 111 0.322266842253 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 112 0.322400087219 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 113 0.322495674810 Henry Cohn, 2026, needs more optimization.
11 114 0.322822050467 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 115 0.322930926929 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 116 0.323596369986 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, 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 0.324275806373 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, 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 0.324839366887 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, 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 0.324908461508 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, 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 0.325028609540 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, 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 0.325463885933 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, 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 0.325943689476 Henry Cohn, 2026, needs more optimization.
11 123 0.328143225979 Henry Cohn, 2026, needs more optimization.
11 124 0.328653380576 Henry Cohn, 2026, needs more optimization.
11 125 0.330506351717 Henry Cohn, 2026, needs more optimization.
11 126 0.331471100575 Henry Cohn, 2026, needs more optimization.
11 127 0.332282932514 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, 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 0.332302459999 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
11 129 0.332396737877 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, 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 0.332408353061 Henry Cohn, 2026, needs more optimization.
11 131 0.332779908356 Henry Cohn, 2026, needs more optimization.
11 132 0.333245218397 Henry Cohn, 2026, needs more optimization.
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 0.361524934448 Henry Cohn, 2026, needs more optimization.
11 158 0.363867278140 Henry Cohn, 2026, needs more optimization.
11 159 0.368509315065 Henry Cohn, 2026, needs more optimization.
11 160 0.371731307051 Henry Cohn, 2026, needs more optimization.
11 161 0.373127857831 Henry Cohn, 2026, needs more optimization.
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
11 167 0.384998578823 Henry Cohn, 2026, needs more optimization.
11 168 0.389074036366 Henry Cohn, 2026, needs more optimization.
11 169 0.390142023358 Henry Cohn, 2026, needs more optimization.
11 170 0.391448581712 Henry Cohn, 2026, needs more optimization.
11 171 0.391488020002 Henry Cohn, 2026, needs more optimization.
11 172 0.391572036553 Henry Cohn, 2026, needs more optimization.
11 173 0.391622175514 Henry Cohn, 2026, needs more optimization.
11 174 0.392074546657 Henry Cohn, 2026, needs more optimization.
11 175 0.392800740282 Henry Cohn, 2026, needs more optimization.
11 176 0.393604742046 Henry Cohn, 2026, needs more optimization.
11 177 0.393929041699 Henry Cohn, 2026, needs more optimization.
11 178 0.394101083807 Henry Cohn, 2026, needs more optimization.
11 179 0.395178900254 Henry Cohn, 2026, needs more optimization.
11 180 0.395817941440 Henry Cohn, 2026, needs more optimization.
11 181 0.396164944385 Henry Cohn, 2026, needs more optimization.
11 182 0.396845343750 Henry Cohn, 2026, needs more optimization.
11 183 0.397265518908 Henry Cohn, 2026, needs more optimization.
11 184 0.397681528116 Henry Cohn, 2026, needs more optimization.
11 185 0.398484946869 Henry Cohn, 2026, needs more optimization.
11 186 0.399290073847 Henry Cohn, 2026, needs more optimization.
11 187 0.399800831771 Henry Cohn, 2026, needs more optimization.
11 188 0.400248784544 Henry Cohn, 2026, needs more optimization.
11 189 0.400794651977 Henry Cohn, 2026, needs more optimization.
11 190 0.401713205483 Henry Cohn, 2026, needs more optimization.
11 191 0.402667178861 Henry Cohn, 2026, needs more optimization.
11 192 0.403039291638 Henry Cohn, 2026, needs more optimization.
11 193 0.403530076335 Henry Cohn, 2026, needs more optimization.
11 194 0.403786630814 Henry Cohn, 2026, needs more optimization.
11 195 0.404519047019 Henry Cohn, 2026, needs more optimization.
11 196 0.406966237889 Henry Cohn, 2026, needs more optimization.
11 197 0.408055659895 Henry Cohn, 2026, needs more optimization.
11 198 0.409009683292 Henry Cohn, 2026, needs more optimization.
11 199 0.410354056251 Henry Cohn, 2026, needs more optimization.
11 200 0.410532358498 Henry Cohn, 2026, needs more optimization.
11 201 0.411042632322 Henry Cohn, 2026, needs more optimization.
11 202 0.411548296421 Henry Cohn, 2026, needs more optimization.
11 203 0.412155119813 Henry Cohn, 2026, needs more optimization.
11 204 0.412885570122 Henry Cohn, 2026, needs more optimization.
11 205 0.413254093030 Henry Cohn, 2026, needs more optimization.
11 206 0.413868380578 Henry Cohn, 2026, needs more optimization.
11 207 0.413868532449 Henry Cohn, 2026, needs more optimization.
11 208 0.414301120557 Henry Cohn, 2026, needs more optimization.
11 209 0.414793060556 Henry Cohn, 2026, needs more optimization.
11 210 0.415149468782 Henry Cohn, 2026, needs more optimization.
11 211 0.415408610376 Henry Cohn, 2026, needs more optimization.
11 212 0.416172002367 Henry Cohn, 2026, needs more optimization.
11 213 0.416530386359 Henry Cohn, 2026, needs more optimization.
11 214 0.417327484557 Henry Cohn, 2026, needs more optimization.
11 215 0.417860254120 Henry Cohn, 2026, needs more optimization.
11 216 0.418437270769 Henry Cohn, 2026, needs more optimization.
11 217 0.418727098232 Henry Cohn, 2026, needs more optimization.
11 218 0.419764082283 Henry Cohn, 2026, needs more optimization.
11 219 0.420157960526 Henry Cohn, 2026, needs more optimization.
11 220 0.420563622186 Henry Cohn, 2026, needs more optimization.
11 221 0.421088248519 Henry Cohn, 2026, needs more optimization.
11 222 0.421867657028 Henry Cohn, 2026, needs more optimization.
11 223 0.422307664030 Henry Cohn, 2026, needs more optimization.
11 224 0.422949692908 Henry Cohn, 2026, needs more optimization.
11 225 0.423236191618 Henry Cohn, 2026, needs more optimization.
11 226 0.423612889580 Henry Cohn, 2026, needs more optimization.
11 227 0.423769558352 Henry Cohn, 2026, needs more optimization.
11 228 0.424182257069 Henry Cohn, 2026, needs more optimization.
11 229 0.424446763015 Henry Cohn, 2026, needs more optimization.
11 230 0.425093293108 Henry Cohn, 2026, needs more optimization.
11 231 0.425438309453 Henry Cohn, 2026, needs more optimization.
11 232 0.425743814163 Henry Cohn, 2026, needs more optimization.
11 233 0.425938096157 Henry Cohn, 2026, needs more optimization.
11 234 0.426273140883 Henry Cohn, 2026, needs more optimization.
11 235 0.426732412517 Henry Cohn, 2026, needs more optimization.
11 236 0.426950029044 Henry Cohn, 2026, needs more optimization.
11 237 0.427230542448 Henry Cohn, 2026, needs more optimization.
11 238 0.427623046246 Henry Cohn, 2026, needs more optimization.
11 239 0.427805508510 Henry Cohn, 2026, needs more optimization.
11 240 0.428086587129 Henry Cohn, 2026, needs more optimization.
11 241 0.428395131933 Henry Cohn, 2026, needs more optimization.
11 242 0.428618085767 Henry Cohn, 2026, needs more optimization.
11 243 0.429040574775 Henry Cohn, 2026, needs more optimization.
11 244 0.430192757651 Henry Cohn, 2026, needs more optimization.
11 245 0.430431411282 Henry Cohn, 2026, needs more optimization.
11 246 0.430675783815 Henry Cohn, 2026, needs more optimization.
11 247 0.430851398504 Henry Cohn, 2026, needs more optimization.
11 248 0.431482589047 Henry Cohn, 2026, needs more optimization.
11 249 0.432401551689 Henry Cohn, 2026, needs more optimization.
11 250 0.433209984439 Henry Cohn, 2026, needs more optimization.
11 251 0.433552346719 Henry Cohn, 2026, needs more optimization.
11 252 0.434054785553 Henry Cohn, 2026, needs more optimization.
11 253 0.435638268670 Henry Cohn, 2026, needs more optimization.
11 254 0.435935577360 Henry Cohn, 2026, needs more optimization.
11 255 0.436528933804 Henry Cohn, 2026, needs more optimization.
11 256 0.437934488307 Henry Cohn, 2026, needs more optimization.
11 257 0.438603543709 Henry Cohn, 2026, needs more optimization.
11 258 0.438676479316 Henry Cohn, 2026, needs more optimization.
11 259 0.438799003739 Henry Cohn, 2026, needs more optimization.
11 260 0.438855235017 Henry Cohn, 2026, needs more optimization.
11 261 0.438879102142 Henry Cohn, 2026, needs more optimization.
11 262 0.438920881314 Henry Cohn, 2026, needs more optimization.
11 263 0.439028473786 Henry Cohn, 2026, needs more optimization.
11 264 0.439053825526 Henry Cohn, 2026, needs more optimization.
11 265 0.439101776283 Henry Cohn, 2026, needs more optimization.
11 266 0.439295048096 Henry Cohn, 2026, needs more optimization.
11 267 0.439342978458 Henry Cohn, 2026, needs more optimization.
11 268 0.439508642756 Henry Cohn, 2026, needs more optimization.
11 269 0.439606496429 Henry Cohn, 2026, needs more optimization.
11 270 0.439798683315 Henry Cohn, 2026, needs more optimization.
11 271 0.439891344094 Henry Cohn, 2026, needs more optimization.
11 272 0.439965182592 Henry Cohn, 2026, needs more optimization.
11 273 0.440336223218 Henry Cohn, 2026, needs more optimization.
11 274 0.440416910025 Henry Cohn, 2026, needs more optimization.
11 275 0.440522087071 Henry Cohn, 2026, needs more optimization.
11 276 0.440762923951 Henry Cohn, 2026, needs more optimization.
11 277 0.441105967712 Henry Cohn, 2026, needs more optimization.
11 278 0.441363282293 Henry Cohn, 2026, needs more optimization.
11 279 0.441568577699 Henry Cohn, 2026, needs more optimization.
11 280 0.441932438015 Henry Cohn, 2026, needs more optimization.
11 281 0.442408077797 Henry Cohn, 2026, needs more optimization.
11 282 0.442682136013 Henry Cohn, 2026, needs more optimization.
11 283 0.442753491594 Henry Cohn, 2026, needs more optimization.
11 284 0.443024924171 Henry Cohn, 2026, needs more optimization.
11 285 0.443573578334 Henry Cohn, 2026, needs more optimization.
11 286 0.444109062568 Henry Cohn, 2026, needs more optimization.
11 287 0.444195555911 Henry Cohn, 2026, needs more optimization.
11 288 0.444766564813 Henry Cohn, 2026, needs more optimization.
11 289 0.445146520062 Henry Cohn, 2026, needs more optimization.
11 290 0.445398313080 Henry Cohn, 2026, needs more optimization.
11 291 0.446220364377 Henry Cohn, 2026, needs more optimization.
11 292 0.447113833088 Henry Cohn, 2026, needs more optimization.
11 293 0.447786936419 Henry Cohn, 2026, needs more optimization.
11 294 0.448382362660 Henry Cohn, 2026, needs more optimization.
11 295 0.449282427584 Henry Cohn, 2026, needs more optimization.
11 296 0.451322873492 Henry Cohn, 2026, needs more optimization.
11 297 0.452265395024 Henry Cohn, 2026, needs more optimization.
11 298 0.453696173825 Henry Cohn, 2026, needs more optimization.
11 299 0.454253059291 Henry Cohn, 2026, needs more optimization.
11 300 0.455150455628 Henry Cohn, 2026, needs more optimization.
11 301 0.455708464589 Henry Cohn, 2026, needs more optimization.
11 302 0.456180751438 Henry Cohn, 2026, needs more optimization.
11 303 0.457632646926 Henry Cohn, 2026, needs more optimization.
11 304 0.458915613728 Henry Cohn, 2026, needs more optimization.
11 305 0.459781026903 Henry Cohn, 2026, needs more optimization.
11 306 0.460539456085 Henry Cohn, 2026, needs more optimization.
11 307 0.461243487626 Henry Cohn, 2026, needs more optimization.
11 308 0.462094854938 Henry Cohn, 2026, needs more optimization.
11 309 0.462694925850 Henry Cohn, 2026, needs more optimization.
11 310 0.463395305071 Henry Cohn, 2026, needs more optimization.
11 311 0.463578639327 Henry Cohn, 2026, needs more optimization.
11 312 0.464089814073 Henry Cohn, 2026, needs more optimization.
11 313 0.464244272920 Henry Cohn, 2026, needs more optimization.
11 314 0.464725623820 Henry Cohn, 2026, needs more optimization.
11 315 0.464928067077 Henry Cohn, 2026, needs more optimization.
11 316 0.465160569038 Henry Cohn, 2026, needs more optimization.
11 317 0.465644410748 Henry Cohn, 2026, needs more optimization.
11 318 0.465992093284 Henry Cohn, 2026, needs more optimization.
11 319 0.466203849547 Henry Cohn, 2026, needs more optimization.
11 320 0.466386615132 Henry Cohn, 2026, needs more optimization.
11 321 0.466925021479 Henry Cohn, 2026, needs more optimization.
11 322 0.467437609448 Henry Cohn, 2026, needs more optimization.
11 323 0.467779283760 Henry Cohn, 2026, needs more optimization.
11 324 0.468215469602 Henry Cohn, 2026, needs more optimization.
11 325 0.468758946161 Henry Cohn, 2026, needs more optimization.
11 326 0.468907646561 Henry Cohn, 2026, needs more optimization.
11 327 0.469213493747 Henry Cohn, 2026, needs more optimization.
11 328 0.469744248196 Henry Cohn, 2026, needs more optimization.
11 329 0.470051131084 Henry Cohn, 2026, needs more optimization.
11 342 0.470588235295 Henry Cohn, 2026.
17⁢x−8
11 343 0.472339930896 Henry Cohn, 2026, needs more optimization.
11 344 0.473621574787 Henry Cohn, 2026, needs more optimization.
11 345 0.474462063528 Henry Cohn, 2026, needs more optimization.
11 346 0.474891902470 Henry Cohn, 2026, needs more optimization.
11 347 0.475249923139 Henry Cohn, 2026, needs more optimization.
11 348 0.475929946823 Henry Cohn, 2026, needs more optimization.
11 349 0.476440350781 Henry Cohn, 2026, needs more optimization.
11 350 0.476740501266 Henry Cohn, 2026, needs more optimization.
11 351 0.477072252296 Henry Cohn, 2026, needs more optimization.
11 352 0.477385098853 Henry Cohn, 2026, needs more optimization.
11 353 0.477685837337 Henry Cohn, 2026, needs more optimization.
11 354 0.478294429051 Henry Cohn, 2026, needs more optimization.
11 355 0.478651283243 Henry Cohn, 2026, needs more optimization.
11 356 0.478968632048 Henry Cohn, 2026, needs more optimization.
11 357 0.479274130965 Henry Cohn, 2026, needs more optimization.
11 358 0.479808272368 Henry Cohn, 2026, needs more optimization.
11 359 0.480311293608 Henry Cohn, 2026, needs more optimization.
11 360 0.480842939998 Henry Cohn, 2026, needs more optimization.
11 361 0.481189277727 Henry Cohn, 2026, needs more optimization.
11 362 0.481464890460 Henry Cohn, 2026, needs more optimization.
11 363 0.481653558866 Henry Cohn, 2026, needs more optimization.
11 364 0.481769775762 Henry Cohn, 2026, needs more optimization.
11 365 0.481943574074 Henry Cohn, 2026, needs more optimization.
11 366 0.482238679020 Henry Cohn, 2026, needs more optimization.
11 367 0.482502246285 Henry Cohn, 2026, needs more optimization.
11 368 0.482896826381 Henry Cohn, 2026, needs more optimization.
11 369 0.483155901411 Henry Cohn, 2026, needs more optimization.
11 370 0.483362555228 Henry Cohn, 2026, needs more optimization.
11 371 0.483464227118 Henry Cohn, 2026, needs more optimization.
11 372 0.483582555757 Henry Cohn, 2026, needs more optimization.
11 373 0.483699953392 Henry Cohn, 2026, needs more optimization.
11 374 0.483758639507 Henry Cohn, 2026, needs more optimization.
11 375 0.483844576192 Henry Cohn, 2026, needs more optimization.
11 376 0.484103894946 Henry Cohn, 2026, needs more optimization.
11 377 0.484277719946 Henry Cohn, 2026, needs more optimization.
11 378 0.484412769797 Henry Cohn, 2026, needs more optimization.
11 379 0.484579323006 Henry Cohn, 2026, needs more optimization.
11 380 0.484805212842 Henry Cohn, 2026, needs more optimization.
11 381 0.484945857174 Henry Cohn, 2026, needs more optimization.
11 382 0.485178549427 Henry Cohn, 2026, needs more optimization.
11 383 0.485415133339 Henry Cohn, 2026, needs more optimization.
11 384 0.485555786694 Henry Cohn, 2026, needs more optimization.
11 385 0.486020276281 Henry Cohn, 2026, needs more optimization.
11 386 0.486285771214 Henry Cohn, 2026, needs more optimization.
11 387 0.486302745063 Henry Cohn, 2026, needs more optimization.
11 388 0.486334232467 Henry Cohn, 2026, needs more optimization.
11 389 0.486427976279 Henry Cohn, 2026, needs more optimization.
11 390 0.486501356608 Henry Cohn, 2026, needs more optimization.
11 391 0.486567095713 Henry Cohn, 2026, needs more optimization.
11 392 0.486668669927 Henry Cohn, 2026, needs more optimization.
11 393 0.486795930060 Henry Cohn, 2026, needs more optimization.
11 394 0.486877758119 Henry Cohn, 2026, needs more optimization.
11 395 0.486901701494 Henry Cohn, 2026, needs more optimization.
11 396 0.486983095710 Henry Cohn, 2026, needs more optimization.
11 397 0.487048724377 Henry Cohn, 2026, needs more optimization.
11 398 0.487115947601 Henry Cohn, 2026, needs more optimization.
11 399 0.487262259412 Henry Cohn, 2026, needs more optimization.
11 400 0.487459217852 Henry Cohn, 2026, needs more optimization.
11 401 0.487552497973 Henry Cohn, 2026, needs more optimization.
11 402 0.487560207541 Henry Cohn, 2026, needs more optimization.
11 403 0.487700793360 Henry Cohn, 2026, needs more optimization.
11 404 0.487749268516 Henry Cohn, 2026, needs more optimization.
11 405 0.488135902029 Henry Cohn, 2026, needs more optimization.
11 406 0.488249150420 Henry Cohn, 2026, needs more optimization.
11 407 0.488271300201 Henry Cohn, 2026, needs more optimization.
11 408 0.488515657070 Henry Cohn, 2026, needs more optimization.
11 409 0.488601002095 Henry Cohn, 2026, needs more optimization.
11 410 0.488607822162 Henry Cohn, 2026, needs more optimization.
11 411 0.488688722625 Henry Cohn, 2026, needs more optimization.
11 412 0.488832858543 Henry Cohn, 2026, needs more optimization.
11 413 0.488911916298 Henry Cohn, 2026, needs more optimization.
11 414 0.489277513775 Henry Cohn, 2026, needs more optimization.
11 415 0.489342463731 Henry Cohn, 2026, needs more optimization.
11 416 0.489552174904 Henry Cohn, 2026, needs more optimization.
11 417 0.489738648383 Henry Cohn, 2026, needs more optimization.
11 418 0.489857677132 Henry Cohn, 2026, needs more optimization.
11 419 0.489945680258 Henry Cohn, 2026, needs more optimization.
11 420 0.490108628432 Henry Cohn, 2026, needs more optimization.
11 421 0.490265157730 Henry Cohn, 2026, needs more optimization.
11 422 0.490388855610 Henry Cohn, 2026, needs more optimization.
11 423 0.490453141921 Henry Cohn, 2026, needs more optimization.
11 424 0.490564697317 Henry Cohn, 2026, needs more optimization.
11 425 0.490695751296 Henry Cohn, 2026, needs more optimization.
11 426 0.490747512201 Henry Cohn, 2026, needs more optimization.
11 427 0.490930564304 Henry Cohn, 2026, needs more optimization.
11 428 0.491162320195 Henry Cohn, 2026, needs more optimization.
11 429 0.491324008217 Henry Cohn, 2026, needs more optimization.
11 430 0.491606615930 Henry Cohn, 2026, needs more optimization.
11 431 0.491853701711 Henry Cohn, 2026, needs more optimization.
11 432 0.491952225745 Henry Cohn, 2026, needs more optimization.
11 433 0.492122469947 Henry Cohn, 2026, needs more optimization.
11 434 0.492300551719 Henry Cohn, 2026, needs more optimization.
11 435 0.492586427700 Henry Cohn, 2026, needs more optimization.
11 436 0.492715473677 Henry Cohn, 2026, needs more optimization.
11 437 0.492820462392 Henry Cohn, 2026, needs more optimization.
11 438 0.492884859253 Henry Cohn, 2026, needs more optimization.
11 439 0.492904668823 Henry Cohn, 2026, needs more optimization.
11 440 0.493018624797 Henry Cohn, 2026, needs more optimization.
11 441 0.493065202060 Henry Cohn, 2026, needs more optimization.
11 442 0.493093604662 Henry Cohn, 2026, needs more optimization.
11 443 0.493123561795 Henry Cohn, 2026, needs more optimization.
11 444 0.493325382199 Henry Cohn, 2026, needs more optimization.
11 445 0.493328204928 Henry Cohn, 2026, needs more optimization.
11 446 0.494024443755 Henry Cohn, 2026, needs more optimization.
11 447 0.494459771774 Henry Cohn, 2026, needs more optimization.
11 448 0.494750655914 Henry Cohn, 2026, needs more optimization.
11 449 0.495086511429 Henry Cohn, 2026, needs more optimization.
11 450 0.495295031608 Henry Cohn, 2026, needs more optimization.
11 451 0.495435628587 Henry Cohn, 2026, needs more optimization.
11 452 0.495606225941 Henry Cohn, 2026, needs more optimization.
11 453 0.495659373786 Henry Cohn, 2026, needs more optimization.
11 454 0.495849629904 Henry Cohn, 2026, needs more optimization.
11 455 0.495944655133 Henry Cohn, 2026, needs more optimization.
11 456 0.496206803243 Henry Cohn, 2026, needs more optimization.
11 457 0.496237928349 Henry Cohn, 2026, needs more optimization.
11 458 0.496248828566 Henry Cohn, 2026, needs more optimization.
11 459 0.496376758954 Henry Cohn, 2026, needs more optimization.
11 460 0.496711071635 Henry Cohn, 2026, needs more optimization.
11 461 0.497159228863 Henry Cohn, 2026, needs more optimization.
11 462 0.497252082126 Henry Cohn, 2026, needs more optimization.
11 463 0.497331200451 Henry Cohn, 2026, needs more optimization.
11 464 0.497559559643 Henry Cohn, 2026, needs more optimization.
11 465 0.497774917819 Henry Cohn, 2026, needs more optimization.
11 466 0.497854081571 Henry Cohn, 2026, needs more optimization.
11 467 0.497995489006 Henry Cohn, 2026, needs more optimization.
11 468 0.498216012908 Henry Cohn, 2026, needs more optimization.
11 469 0.498245381915 Henry Cohn, 2026, needs more optimization.
11 470 0.498354883050 Henry Cohn, 2026, needs more optimization.
11 471 0.498418140943 Henry Cohn, 2026, needs more optimization.
11 472 0.498743293339 Henry Cohn, 2026, needs more optimization.
11 473 0.498838974105 Henry Cohn, 2026, needs more optimization.
11 474 0.498865816319 Henry Cohn, 2026, needs more optimization.
11 475 0.498894766128 Henry Cohn, 2026, needs more optimization.
11 476 0.498912533664 Henry Cohn, 2026, needs more optimization.
11 477 0.498922466637 Henry Cohn, 2026, needs more optimization.
11 478 0.499636576261 Henry Cohn, 2026, needs more optimization.
11 479 0.499636618173 Henry Cohn, 2026, needs more optimization.
11 480 0.499637688566 Henry Cohn, 2026, needs more optimization.
11 481 0.499637747811 Henry Cohn, 2026, needs more optimization.
11 482 0.499638239738 Henry Cohn, 2026, needs more optimization.
11 484 0.499639348322 Henry Cohn, 2026, needs more optimization.
11 485 0.499639997687 Henry Cohn, 2026, needs more optimization.
11 486 0.499641052155 Henry Cohn, 2026, needs more optimization.
11 487 0.499641311087 Henry Cohn, 2026, needs more optimization.
11 488 0.499642015011 Henry Cohn, 2026, needs more optimization.
11 489 0.499642826373 Henry Cohn, 2026, needs more optimization.
11 490 0.499643620201 Henry Cohn, 2026, needs more optimization.
11 492 0.499644439084 Henry Cohn, 2026, needs more optimization.
11 493 0.499644760323 Henry Cohn, 2026, needs more optimization.
11 495 0.499645713947 Henry Cohn, 2026, needs more optimization.
11 496 0.499645776658 Henry Cohn, 2026, needs more optimization.
11 497 0.499647159202 Henry Cohn, 2026, needs more optimization.
11 498 0.499647666550 Henry Cohn, 2026, needs more optimization.
11 499 0.499648352915 Henry Cohn, 2026, needs more optimization.
11 500 0.499649442621 Henry Cohn, 2026, needs more optimization.
11 505 0.499649448450 Henry Cohn, 2026, needs more optimization.
11 506 0.499650536486 Henry Cohn, 2026, needs more optimization.
11 507 0.499650852101 Henry Cohn, 2026, needs more optimization.
11 508 0.499650952322 Henry Cohn, 2026, needs more optimization.
11 509 0.499651203813 Henry Cohn, 2026, needs more optimization.
11 510 0.499651916622 Henry Cohn, 2026, needs more optimization.
11 511 0.499652750581 Henry Cohn, 2026, needs more optimization.
11 514 0.499652875530 Henry Cohn, 2026, needs more optimization.
11 515 0.499653631443 Henry Cohn, 2026, needs more optimization.
11 517 0.499654637691 Henry Cohn, 2026, needs more optimization.
11 519 0.499655681278 Henry Cohn, 2026, needs more optimization.
11 521 0.499655714849 Henry Cohn, 2026, needs more optimization.
11 524 0.499656121908 Henry Cohn, 2026, needs more optimization.
11 525 0.499657516992 Henry Cohn, 2026, needs more optimization.
11 527 0.499657688090 Henry Cohn, 2026, needs more optimization.
11 528 0.499658239623 Henry Cohn, 2026, needs more optimization.
11 529 0.499659113498 Henry Cohn, 2026, needs more optimization.
11 531 0.499660236567 Henry Cohn, 2026, needs more optimization.
11 535 0.499661749500 Henry Cohn, 2026, needs more optimization.
11 536 0.499661750111 Henry Cohn, 2026, needs more optimization.
11 538 0.499662863704 Henry Cohn, 2026, needs more optimization.
11 540 0.499663608492 Henry Cohn, 2026, needs more optimization.
11 585 0.499664042007 Henry Cohn, 2026, needs more optimization.
11 586 0.499665774275 Henry Cohn, 2026, needs more optimization.
11 587 0.499967774882 Henry Cohn, 2026, needs more optimization.
11 588 0.499979544292 Henry Cohn, 2026, needs more optimization.
11 589 0.499985304198 Henry Cohn, 2026, needs more optimization.
11 590 0.499987576093 Henry Cohn, 2026, needs more optimization.
11 593 0.499999989608 A. Novikov, N. Vu, M. Eisenberger, E. Dupont, P.-S. Huang, A. Z. Wagner, S. Shirobokov, B. Kozlovskii, F. J. R. Ruiz, A. Mehrabian, M. P. Kumar, A. See, S. Chaudhuri, G. Holland, A. Davies, S. Nowozin, P. Kohli, and M. Balog, AlphaEvolve: A coding agent for scientific and algorithmic discovery, Google DeepMind white paper, 2025, after some further optimization.
11 594 0.500141288801 Henry Cohn, 2026, needs more optimization.
11 595 0.500504324817 Henry Cohn, 2026, needs more optimization.
11 596 0.500894540533 Henry Cohn, 2026, needs more optimization.
11 597 0.502724705755 Henry Cohn, 2026, needs more optimization.
11 598 0.504213588632 Henry Cohn, 2026, needs more optimization.
11 599 0.505619319167 Henry Cohn, 2026, needs more optimization.
11 600 0.506935641745 Henry Cohn, 2026, needs more optimization.
11 601 0.507719396604 Henry Cohn, 2026, needs more optimization.
11 602 0.508398909556 Henry Cohn, 2026, needs more optimization.
11 603 0.509165934893 Henry Cohn, 2026, needs more optimization.
11 604 0.510193697856 Henry Cohn, 2026, needs more optimization.
11 605 0.510970188823 Henry Cohn, 2026, needs more optimization.
11 606 0.511355503728 Henry Cohn, 2026, needs more optimization.
11 607 0.511968498388 Henry Cohn, 2026, needs more optimization.
11 608 0.512396949833 Henry Cohn, 2026, needs more optimization.
11 609 0.513025305691 Henry Cohn, 2026, needs more optimization.
11 610 0.513511427397 Henry Cohn, 2026, needs more optimization.
11 611 0.514334038824 Henry Cohn, 2026, needs more optimization.
11 612 0.515132343421 Henry Cohn, 2026, needs more optimization.
11 613 0.515831275907 Henry Cohn, 2026, needs more optimization.
11 614 0.516358192783 Henry Cohn, 2026, needs more optimization.
11 615 0.516743244883 Henry Cohn, 2026, needs more optimization.
11 616 0.517448102643 Henry Cohn, 2026, needs more optimization.
11 617 0.517909483388 Henry Cohn, 2026, needs more optimization.
11 618 0.518338614950 Henry Cohn, 2026, needs more optimization.
11 619 0.518520105873 Henry Cohn, 2026, needs more optimization.
11 620 0.518999098608 Henry Cohn, 2026, needs more optimization.
11 621 0.519547489039 Henry Cohn, 2026, needs more optimization.
11 622 0.519747365400 Henry Cohn, 2026, needs more optimization.
11 623 0.520232721846 Henry Cohn, 2026, needs more optimization.
11 624 0.520800233649 Henry Cohn, 2026, needs more optimization.
11 625 0.521352781507 Henry Cohn, 2026, needs more optimization.
11 626 0.521760197005 Henry Cohn, 2026, needs more optimization.
11 627 0.522350694720 Henry Cohn, 2026, needs more optimization.
11 628 0.522717500468 Henry Cohn, 2026, needs more optimization.
11 629 0.523316410748 Henry Cohn, 2026, needs more optimization.
11 630 0.523788869629 Henry Cohn, 2026, needs more optimization.
11 631 0.524535458079 Henry Cohn, 2026, needs more optimization.
11 632 0.524961621221 Henry Cohn, 2026, needs more optimization.
11 633 0.525432157400 Henry Cohn, 2026, needs more optimization.
11 634 0.525657724108 Henry Cohn, 2026, needs more optimization.
11 635 0.526273885924 Henry Cohn, 2026, needs more optimization.
11 636 0.526629954169 Henry Cohn, 2026, needs more optimization.
11 637 0.526818295411 Henry Cohn, 2026, needs more optimization.
11 638 0.527128860213 Henry Cohn, 2026, needs more optimization.
11 639 0.527579993631 Henry Cohn, 2026, needs more optimization.
11 640 0.528036874660 Henry Cohn, 2026, needs more optimization.
11 642 0.528432993895 Henry Cohn, 2026, needs more optimization.
11 643 0.528458046654 Henry Cohn, 2026, needs more optimization.
11 644 0.528469045970 Henry Cohn, 2026, needs more optimization.
11 645 0.528497358837 Henry Cohn, 2026, needs more optimization.
11 647 0.528508181495 Henry Cohn, 2026, needs more optimization.
11 649 0.528533031010 Henry Cohn, 2026, needs more optimization.
11 651 0.528577682886 Henry Cohn, 2026, needs more optimization.
11 652 0.528620614565 Henry Cohn, 2026, needs more optimization.
11 653 0.528632903014 Henry Cohn, 2026, needs more optimization.
11 654 0.528993574210 Henry Cohn, 2026, needs more optimization.
11 655 0.529279968279 Henry Cohn, 2026, needs more optimization.
11 656 0.529810702035 Henry Cohn, 2026, needs more optimization.
11 657 0.530480439103 Henry Cohn, 2026, needs more optimization.
11 658 0.531059400349 Henry Cohn, 2026, needs more optimization.
11 659 0.531514690640 Henry Cohn, 2026, needs more optimization.
11 660 0.532002838574 Henry Cohn, 2026, needs more optimization.
11 661 0.533069050455 Henry Cohn, 2026, needs more optimization.
11 662 0.533583908138 Henry Cohn, 2026, needs more optimization.
11 663 0.533950714845 Henry Cohn, 2026, needs more optimization.
11 664 0.534288021736 Henry Cohn, 2026, needs more optimization.
11 665 0.534821436963 Henry Cohn, 2026, needs more optimization.
11 666 0.535114263290 Henry Cohn, 2026, needs more optimization.
11 667 0.535579043218 Henry Cohn, 2026, needs more optimization.
11 668 0.535896750493 Henry Cohn, 2026, needs more optimization.
11 669 0.536176027340 Henry Cohn, 2026, needs more optimization.
11 670 0.536297231928 Henry Cohn, 2026, needs more optimization.
11 671 0.536579666549 Henry Cohn, 2026, needs more optimization.
11 672 0.536639756637 Henry Cohn, 2026, needs more optimization.
11 674 0.536671540974 Henry Cohn, 2026, needs more optimization.
11 675 0.536833589921 Henry Cohn, 2026, needs more optimization.
11 676 0.537221065979 Henry Cohn, 2026, needs more optimization.
11 677 0.537568328165 Henry Cohn, 2026, needs more optimization.
11 678 0.538029490147 Henry Cohn, 2026, needs more optimization.
11 679 0.538306224434 Henry Cohn, 2026, needs more optimization.
11 680 0.538651958923 Henry Cohn, 2026, needs more optimization.
11 681 0.538894064611 Henry Cohn, 2026, needs more optimization.
11 682 0.539231203554 Henry Cohn, 2026, needs more optimization.
11 683 0.539582407116 Henry Cohn, 2026, needs more optimization.
11 684 0.539728594007 Henry Cohn, 2026, needs more optimization.
11 685 0.540143103868 Henry Cohn, 2026, needs more optimization.
11 686 0.540494733608 Henry Cohn, 2026, needs more optimization.
11 687 0.540835077378 Henry Cohn, 2026, needs more optimization.
11 688 0.541277207523 Henry Cohn, 2026, needs more optimization.
11 689 0.541745640269 Henry Cohn, 2026, needs more optimization.
11 690 0.542070795863 Henry Cohn, 2026, needs more optimization.
11 691 0.542465540892 Henry Cohn, 2026, needs more optimization.
11 692 0.542822232241 Henry Cohn, 2026, needs more optimization.
11 693 0.543092576949 Henry Cohn, 2026, needs more optimization.
11 694 0.543189610602 Henry Cohn, 2026, needs more optimization.
11 695 0.543590987503 Henry Cohn, 2026, needs more optimization.
11 696 0.543981649319 Henry Cohn, 2026, needs more optimization.
11 697 0.544312154842 Henry Cohn, 2026, needs more optimization.
11 698 0.544592067281 Henry Cohn, 2026, needs more optimization.
11 699 0.544805372781 Henry Cohn, 2026, needs more optimization.
11 700 0.545146353751 Henry Cohn, 2026, needs more optimization.
11 701 0.545415754995 Henry Cohn, 2026, needs more optimization.
11 702 0.545687055961 Henry Cohn, 2026, needs more optimization.
11 703 0.545973296215 Henry Cohn, 2026, needs more optimization.
11 704 0.546212611426 Henry Cohn, 2026, needs more optimization.
11 705 0.546508505527 Henry Cohn, 2026, needs more optimization.
11 706 0.546664175050 Henry Cohn, 2026, needs more optimization.
11 707 0.546921440719 Henry Cohn, 2026, needs more optimization.
11 708 0.547141929597 Henry Cohn, 2026, needs more optimization.
11 709 0.547386444639 Henry Cohn, 2026, needs more optimization.
11 710 0.547669713139 Henry Cohn, 2026, needs more optimization.
11 711 0.547945134991 Henry Cohn, 2026, needs more optimization.
11 712 0.548133737853 Henry Cohn, 2026, needs more optimization.
11 713 0.548455515635 Henry Cohn, 2026, needs more optimization.
11 714 0.548822988956 Henry Cohn, 2026, needs more optimization.
11 715 0.549050893940 Henry Cohn, 2026, needs more optimization.
11 716 0.549214249361 Henry Cohn, 2026, needs more optimization.
11 717 0.549502420355 Henry Cohn, 2026, needs more optimization.
11 718 0.549725926734 Henry Cohn, 2026, needs more optimization.
11 719 0.549992348530 Henry Cohn, 2026, needs more optimization.
11 720 0.550314873323 Henry Cohn, 2026, needs more optimization.
11 721 0.550503545694 Henry Cohn, 2026, needs more optimization.
11 722 0.550672118103 Henry Cohn, 2026, needs more optimization.
11 723 0.550826707332 Henry Cohn, 2026, needs more optimization.
11 724 0.551029646273 Henry Cohn, 2026, needs more optimization.
11 725 0.551241591481 Henry Cohn, 2026, needs more optimization.
11 726 0.551385674543 Henry Cohn, 2026, needs more optimization.
11 727 0.551734842153 Henry Cohn, 2026, needs more optimization.
11 728 0.552063268824 Henry Cohn, 2026, needs more optimization.
11 729 0.552171167490 Henry Cohn, 2026, needs more optimization.
11 730 0.552475300997 Henry Cohn, 2026, needs more optimization.
11 731 0.552690221811 Henry Cohn, 2026, needs more optimization.
11 732 0.552948520990 Henry Cohn, 2026, needs more optimization.
11 733 0.553130050257 Henry Cohn, 2026, needs more optimization.
11 734 0.553513258494 Henry Cohn, 2026, needs more optimization.
11 735 0.553697787750 Henry Cohn, 2026, needs more optimization.
11 736 0.553824927777 Henry Cohn, 2026, needs more optimization.
11 737 0.554011552422 Henry Cohn, 2026, needs more optimization.
11 738 0.554179364575 Henry Cohn, 2026, needs more optimization.
11 739 0.554390250457 Henry Cohn, 2026, needs more optimization.
11 740 0.554477265863 Henry Cohn, 2026, needs more optimization.
11 741 0.554678340459 Henry Cohn, 2026, needs more optimization.
11 742 0.554844572274 Henry Cohn, 2026, needs more optimization.
11 743 0.555118372179 Henry Cohn, 2026, needs more optimization.
11 744 0.555274520451 Henry Cohn, 2026, needs more optimization.
11 982 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
11 983 0.560843376486 Henry Cohn, 2026, needs more optimization.
11 984 0.562691402302 Henry Cohn, 2026, needs more optimization.
11 985 0.563564472526 Henry Cohn, 2026, needs more optimization.
11 986 0.564060927209 Henry Cohn, 2026, needs more optimization.
11 987 0.564347413690 Henry Cohn, 2026, needs more optimization.
11 988 0.564561350590 Henry Cohn, 2026, needs more optimization.
11 989 0.564698733087 Henry Cohn, 2026, needs more optimization.
11 990 0.564804536701 Henry Cohn, 2026, needs more optimization.
11 991 0.564867040904 Henry Cohn, 2026, needs more optimization.
11 992 0.564944325447 Henry Cohn, 2026, needs more optimization.
11 993 0.566252587979 Henry Cohn, 2026, needs more optimization.
11 994 0.566815536499 Henry Cohn, 2026, needs more optimization.
11 995 0.567189596439 Henry Cohn, 2026, needs more optimization.
11 996 0.567460889401 Henry Cohn, 2026, needs more optimization.
11 997 0.568104936835 Henry Cohn, 2026, needs more optimization.
11 998 0.568478056586 Henry Cohn, 2026, needs more optimization.
11 999 0.568881009467 Henry Cohn, 2026, needs more optimization.
11 1000 0.569161413130 Henry Cohn, 2026, needs more optimization.
11 1001 0.569397508633 Henry Cohn, 2026, needs more optimization.
11 1002 0.569654025771 Henry Cohn, 2026, needs more optimization.
11 1003 0.569920744248 Henry Cohn, 2026, needs more optimization.
11 1004 0.570128530042 Henry Cohn, 2026, needs more optimization.
11 1005 0.570338829519 Henry Cohn, 2026, needs more optimization.
11 1006 0.570533105536 Henry Cohn, 2026, needs more optimization.
11 1007 0.570665402578 Henry Cohn, 2026, needs more optimization.
11 1008 0.570823221957 Henry Cohn, 2026, needs more optimization.
11 1009 0.570952864077 Henry Cohn, 2026, needs more optimization.
11 1010 0.571118256957 Henry Cohn, 2026, needs more optimization.
11 1011 0.571333253366 Henry Cohn, 2026, needs more optimization.
11 1012 0.571479089124 Henry Cohn, 2026, needs more optimization.
11 1013 0.571650936282 Henry Cohn, 2026, needs more optimization.
11 1014 0.571837270791 Henry Cohn, 2026, needs more optimization.
11 1015 0.571965841147 Henry Cohn, 2026, needs more optimization.
11 1016 0.572094301415 Henry Cohn, 2026, needs more optimization.
11 1017 0.572211618386 Henry Cohn, 2026, needs more optimization.
11 1018 0.572378086348 Henry Cohn, 2026, needs more optimization.
11 1019 0.572506577941 Henry Cohn, 2026, needs more optimization.
11 1020 0.572634942104 Henry Cohn, 2026, needs more optimization.
11 1021 0.572682298905 Henry Cohn, 2026, needs more optimization.
11 1022 0.572815585639 Henry Cohn, 2026, needs more optimization.
11 1023 0.572942513734 Henry Cohn, 2026, needs more optimization.
11 1024 0.573050364270 Henry Cohn, 2026, needs more optimization.
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 0.187397967438 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, 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 54 0.189746662791 Henry Cohn, 2024.
12 55 0.193319611131 Henry Cohn, 2025.
12 60 0.193457871625 Henry Cohn, 2026.
3088⁢x4−1184⁢x3−120⁢x2+40⁢x+1
12 61 0.196565668411 Henry Cohn, 2026.
12 62 0.197162933815 Henry Cohn, 2026.
24⁢x3+92⁢x2−14⁢x−1
12 63 0.207401048725 Henry Cohn, 2026.
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 0.215062486432 Henry Cohn, 2026.
12 67 0.215314925312 Henry Cohn, 2026.
12 68 0.220678061412 Henry Cohn, 2026.
12 69 0.225477905474 Henry Cohn, 2026.
12 70 0.228644479119 Henry Cohn, 2026, needs more optimization.
12 71 0.230598825167 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, 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 72 0.231962850858 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, 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 73 0.232386082227 Henry Cohn, 2026, needs more optimization.
12 74 0.233370275020 Henry Cohn, 2026, needs more optimization.
12 75 0.236174145364 Henry Cohn, 2026, needs more optimization.
12 76 0.236987305887 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, 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 77 0.237968057446 Henry Cohn, 2025.
12 78 0.239700240785 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, 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 79 0.241071143297 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, 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 0.243291248047 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, 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 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 0.250930942836 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, 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 92 0.260985425422 Henry Cohn, 2026.
12 93 0.263892498486 Henry Cohn, 2026, needs more optimization.
12 94 0.264718321005 Henry Cohn, 2026, needs more optimization.
12 95 0.265090859018 Henry Cohn, 2026, needs more optimization.
12 96 0.265645553806 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, 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 97 0.266040316889 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, 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 98 0.266358005980 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, 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 99 0.266734322734 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
12 100 0.266965999840 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
12 101 0.267161491335 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
12 102 0.267190937318 Henry Cohn, 2026, needs more optimization.
12 103 0.269103247691 Henry Cohn, 2026, needs more optimization.
12 104 0.271256908525 Henry Cohn, 2026, needs more optimization.
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.
12 107 0.273390907845 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
12 108 0.276803314311 Henry Cohn, 2026, needs more optimization.
12 109 0.277602041982 Henry Cohn, 2026, needs more optimization.
12 110 0.277964024387 Henry Cohn, 2026, needs more optimization.
12 111 0.278766142608 Henry Cohn, 2026, needs more optimization.
12 112 0.279484998116 Henry Cohn, 2026, needs more optimization.
12 113 0.281954415798 Henry Cohn, 2026, needs more optimization.
12 114 0.291010194180 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
12 115 0.291591110719 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, M. Gunde, N. Salles, G. Cruchon, and M. Roux, Equidistribution of points on the hypersphere including symmetries, preprint, 2026, doi:0.2139/ssrn.6427919.
12 116 0.292387833652 Henry Cohn, 2026, needs more optimization.
12 117 0.292985858721 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, 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 0.293570335746 Henry Cohn, 2026, needs more optimization.
12 119 0.294623076031 A. Jay, M. Poberznik, M. Brut, A. Hemeryck, L.-H. Hoang, 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 0.294708984704 Henry Cohn, 2026, needs more optimization.
12 122 0.304154083725 Henry Cohn, 2026, needs more optimization.
12 123 0.305690147796 Henry Cohn, 2026, needs more optimization.
12 124 0.305733445727 Henry Cohn, 2026, needs more optimization.
12 125 0.305882748145 Henry Cohn, 2026, needs more optimization.
12 126 0.306150332600 Henry Cohn, 2026, needs more optimization.
12 127 0.306791570851 Henry Cohn, 2026, needs more optimization.
12 128 0.308118071254 Henry Cohn, 2026, needs more optimization.
12 129 0.309036133415 Henry Cohn, 2026, needs more optimization.
12 130 0.309511014600 Henry Cohn, 2026, needs more optimization.
12 131 0.309520547091 Henry Cohn, 2026, needs more optimization.
12 132 0.309837050243 Henry Cohn, 2026, needs more optimization.
12 133 0.310045714337 Henry Cohn, 2026, needs more optimization.
12 134 0.311214391854 Henry Cohn, 2026, needs more optimization.
12 135 0.312209438698 Henry Cohn, 2026, needs more optimization.
12 136 0.313785857720 Henry Cohn, 2026, needs more optimization.
12 137 0.315191448272 Henry Cohn, 2026, needs more optimization.
12 138 0.317974705062 Henry Cohn, 2026, needs more optimization.
12 139 0.319399709654 Henry Cohn, 2026, needs more optimization.
12 140 0.321958088957 Henry Cohn, 2026, needs more optimization.
12 141 0.322143831400 Henry Cohn, 2026, needs more optimization.
12 142 0.322583743265 Henry Cohn, 2026, needs more optimization.
12 143 0.322963729016 Henry Cohn, 2026, needs more optimization.
12 144 0.323295859762 Henry Cohn, 2026, needs more optimization.
12 145 0.323571272408 Henry Cohn, 2026, needs more optimization.
12 146 0.324013424757 Henry Cohn, 2026, needs more optimization.
12 147 0.324389163802 Henry Cohn, 2026, needs more optimization.
12 148 0.324849968238 Henry Cohn, 2026, needs more optimization.
12 149 0.325299937129 Henry Cohn, 2026, needs more optimization.
12 150 0.325730315953 Henry Cohn, 2026, needs more optimization.
12 151 0.327150959416 Henry Cohn, 2026, needs more optimization.
12 152 0.327599030019 Henry Cohn, 2026, needs more optimization.
12 153 0.328488822279 Henry Cohn, 2026, needs more optimization.
12 154 0.329004915614 Henry Cohn, 2026, needs more optimization.
12 155 0.329446375574 Henry Cohn, 2026, needs more optimization.
12 156 0.329624567488 Henry Cohn, 2026, needs more optimization.
12 157 0.329848058901 Henry Cohn, 2026, needs more optimization.
12 158 0.329987923234 Henry Cohn, 2026, needs more optimization.
12 159 0.329987923235 Henry Cohn, 2026, needs more optimization.
12 160 0.329989755326 Henry Cohn, 2026, needs more optimization.
12 161 0.329995261959 Henry Cohn, 2026, needs more optimization.
12 162 0.330015222604 Henry Cohn, 2026, needs more optimization.
12 163 0.331514886604 Henry Cohn, 2026, needs more optimization.
12 164 0.331670344873 Henry Cohn, 2026, needs more optimization.
12 165 0.332037582446 Henry Cohn, 2026, needs more optimization.
12 166 0.332622290272 Henry Cohn, 2026, needs more optimization.
12 167 0.332812004054 Henry Cohn, 2026, needs more optimization.
12 168 0.332823816347 Henry Cohn, 2026, needs more optimization.
12 169 0.332924539816 Henry Cohn, 2026, needs more optimization.
12 170 0.332993145492 Henry Cohn, 2026, needs more optimization.
12 171 0.333035218755 Henry Cohn, 2026, needs more optimization.
12 172 0.333059090736 Henry Cohn, 2026, needs more optimization.
12 173 0.333103333611 Henry Cohn, 2026, needs more optimization.
12 174 0.333152774901 Henry Cohn, 2026, needs more optimization.
12 175 0.333163020982 Henry Cohn, 2026, needs more optimization.
12 176 0.333191988049 Henry Cohn, 2026, needs more optimization.
12 177 0.333209854132 Henry Cohn, 2026, needs more optimization.
12 178 0.333243186121 Henry Cohn, 2026, needs more optimization.
12 179 0.333356581242 Henry Cohn, 2026, needs more optimization.
12 180 0.336129070668 Henry Cohn, 2026, needs more optimization.
12 181 0.344220621699 Henry Cohn, 2026, needs more optimization.
12 182 0.345965915109 Henry Cohn, 2026, needs more optimization.
12 183 0.349199431764 Henry Cohn, 2026, needs more optimization.
12 184 0.351145588836 Henry Cohn, 2026, needs more optimization.
12 185 0.352294015315 Henry Cohn, 2026, needs more optimization.
12 186 0.353341095001 Henry Cohn, 2026, needs more optimization.
12 187 0.353804004535 Henry Cohn, 2026, needs more optimization.
12 188 0.354978085053 Henry Cohn, 2026, needs more optimization.
12 189 0.355530804057 Henry Cohn, 2026, needs more optimization.
12 190 0.356783824616 Henry Cohn, 2026, needs more optimization.
12 191 0.358019430438 Henry Cohn, 2026, needs more optimization.
12 192 0.359654295253 Henry Cohn, 2026, needs more optimization.
12 193 0.360910156269 Henry Cohn, 2026, needs more optimization.
12 194 0.362074395369 Henry Cohn, 2026, needs more optimization.
12 195 0.363641965674 Henry Cohn, 2026, needs more optimization.
12 196 0.365044323228 Henry Cohn, 2026, needs more optimization.
12 197 0.365607293923 Henry Cohn, 2026, needs more optimization.
12 198 0.366069197214 Henry Cohn, 2026, needs more optimization.
12 199 0.366812999388 Henry Cohn, 2026, needs more optimization.
12 200 0.367145771202 Henry Cohn, 2026, needs more optimization.
12 201 0.368799336986 Henry Cohn, 2026, needs more optimization.
12 202 0.369138872181 Henry Cohn, 2026, needs more optimization.
12 203 0.370088276742 Henry Cohn, 2026, needs more optimization.
12 204 0.370845999211 Henry Cohn, 2026, needs more optimization.
12 205 0.372178738033 Henry Cohn, 2026, needs more optimization.
12 206 0.373160362603 Henry Cohn, 2026, needs more optimization.
12 207 0.374116538174 Henry Cohn, 2026, needs more optimization.
12 208 0.374957411466 Henry Cohn, 2026, needs more optimization.
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 0.378110369185 Henry Cohn, 2026, needs more optimization.
12 212 0.381048025013 Henry Cohn, 2026, needs more optimization.
12 213 0.381709627928 Henry Cohn, 2026, needs more optimization.
12 214 0.381835121072 Henry Cohn, 2026, needs more optimization.
12 215 0.382878365225 Henry Cohn, 2026, needs more optimization.
12 216 0.383994026042 Henry Cohn, 2026, needs more optimization.
12 217 0.384574950246 Henry Cohn, 2026, needs more optimization.
12 218 0.385469102267 Henry Cohn, 2026, needs more optimization.
12 219 0.386487680215 Henry Cohn, 2026, needs more optimization.
12 220 0.387210179459 Henry Cohn, 2026, needs more optimization.
12 221 0.387726722946 Henry Cohn, 2026, needs more optimization.
12 222 0.388337182569 Henry Cohn, 2026, needs more optimization.
12 223 0.388795502940 Henry Cohn, 2026, needs more optimization.
12 224 0.389489480494 Henry Cohn, 2026, needs more optimization.
12 225 0.390281475638 Henry Cohn, 2026, needs more optimization.
12 226 0.390645614473 Henry Cohn, 2026, needs more optimization.
12 227 0.391275590136 Henry Cohn, 2026, needs more optimization.
12 228 0.391366486550 Henry Cohn, 2026, needs more optimization.
12 229 0.392251629590 Henry Cohn, 2026, needs more optimization.
12 230 0.392400397824 Henry Cohn, 2026, needs more optimization.
12 231 0.392517892100 Henry Cohn, 2026, needs more optimization.
12 232 0.393334493775 Henry Cohn, 2026, needs more optimization.
12 233 0.393438055835 Henry Cohn, 2026, needs more optimization.
12 234 0.393513436128 Henry Cohn, 2026, needs more optimization.
12 235 0.393954141162 Henry Cohn, 2026, needs more optimization.
12 236 0.394073254744 Henry Cohn, 2026, needs more optimization.
12 237 0.396284132370 Henry Cohn, 2026, needs more optimization.
12 238 0.396540040928 Henry Cohn, 2026, needs more optimization.
12 239 0.397317945847 Henry Cohn, 2026, needs more optimization.
12 240 0.398279301464 Henry Cohn, 2026, needs more optimization.
12 241 0.399381291468 Henry Cohn, 2026, needs more optimization.
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 0.401758592621 Henry Cohn, 2026, needs more optimization.
12 292 0.406636067305 Henry Cohn, 2026, needs more optimization.
12 293 0.409433665239 Henry Cohn, 2026, needs more optimization.
12 294 0.410770970361 Henry Cohn, 2026, needs more optimization.
12 295 0.412738660548 Henry Cohn, 2026, needs more optimization.
12 296 0.414338110446 Henry Cohn, 2026, needs more optimization.
12 297 0.415471809926 Henry Cohn, 2026, needs more optimization.
12 298 0.417386366459 Henry Cohn, 2026, needs more optimization.
12 299 0.418808517180 Henry Cohn, 2026, needs more optimization.
12 300 0.419879782130 Henry Cohn, 2026, needs more optimization.
12 301 0.420854489076 Henry Cohn, 2026, needs more optimization.
12 302 0.422071778770 Henry Cohn, 2026, needs more optimization.
12 303 0.423136999366 Henry Cohn, 2026, needs more optimization.
12 304 0.424153897845 Henry Cohn, 2026, needs more optimization.
12 305 0.425044047904 Henry Cohn, 2026, needs more optimization.
12 306 0.426479728290 Henry Cohn, 2026, needs more optimization.
12 307 0.427430655987 Henry Cohn, 2026, needs more optimization.
12 308 0.428243553492 Henry Cohn, 2026, needs more optimization.
12 309 0.428330789962 Henry Cohn, 2026, needs more optimization.
12 310 0.429329233020 Henry Cohn, 2026, needs more optimization.
12 311 0.430209217874 Henry Cohn, 2026, needs more optimization.
12 312 0.430820097720 Henry Cohn, 2026, needs more optimization.
12 313 0.431232501284 Henry Cohn, 2026, needs more optimization.
12 314 0.431715564008 Henry Cohn, 2026, needs more optimization.
12 315 0.432279240704 Henry Cohn, 2026, needs more optimization.
12 316 0.432672493630 Henry Cohn, 2026, needs more optimization.
12 317 0.433098877652 Henry Cohn, 2026, needs more optimization.
12 318 0.433201129135 Henry Cohn, 2026, needs more optimization.
12 319 0.433584642955 Henry Cohn, 2026, needs more optimization.
12 320 0.434122469391 Henry Cohn, 2026, needs more optimization.
12 321 0.434709734320 Henry Cohn, 2026, needs more optimization.
12 322 0.435142163158 Henry Cohn, 2026, needs more optimization.
12 323 0.435622025146 Henry Cohn, 2026, needs more optimization.
12 324 0.436055356506 Henry Cohn, 2026, needs more optimization.
12 325 0.436607040081 Henry Cohn, 2026, needs more optimization.
12 326 0.436998799496 Henry Cohn, 2026, needs more optimization.
12 327 0.437261855558 Henry Cohn, 2026, needs more optimization.
12 328 0.437697416526 Henry Cohn, 2026, needs more optimization.
12 329 0.438006712139 Henry Cohn, 2026, needs more optimization.
12 330 0.438272739764 Henry Cohn, 2026, needs more optimization.
12 331 0.438861507310 Henry Cohn, 2026, needs more optimization.
12 332 0.439097400628 Henry Cohn, 2026, needs more optimization.
12 333 0.439282234119 Henry Cohn, 2026, needs more optimization.
12 334 0.439956913191 Henry Cohn, 2026, needs more optimization.
12 335 0.439962646280 Henry Cohn, 2026, needs more optimization.
12 336 0.440332432849 Henry Cohn, 2026, needs more optimization.
12 337 0.440879759865 Henry Cohn, 2026, needs more optimization.
12 338 0.441019376276 Henry Cohn, 2026, needs more optimization.
12 339 0.441496058126 Henry Cohn, 2026, needs more optimization.
12 340 0.441610298371 Henry Cohn, 2026, needs more optimization.
12 341 0.442039943690 Henry Cohn, 2026, needs more optimization.
12 342 0.442161256746 Henry Cohn, 2026, needs more optimization.
12 343 0.442334031152 Henry Cohn, 2026, needs more optimization.
12 344 0.442587673799 Henry Cohn, 2026, needs more optimization.
12 345 0.443078225257 Henry Cohn, 2026, needs more optimization.
12 346 0.443666884153 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 0.447147073485 Henry Cohn, 2026, needs more optimization.
12 410 0.447929024371 Henry Cohn, 2026, needs more optimization.
12 411 0.448616924650 Henry Cohn, 2026, needs more optimization.
12 412 0.449181158261 Henry Cohn, 2026, needs more optimization.
12 413 0.450250109018 Henry Cohn, 2026, needs more optimization.
12 414 0.450744365527 Henry Cohn, 2026, needs more optimization.
12 415 0.450785094933 Henry Cohn, 2026, needs more optimization.
12 416 0.451180788945 Henry Cohn, 2026, needs more optimization.
12 417 0.451398624771 Henry Cohn, 2026, needs more optimization.
12 418 0.451497862278 Henry Cohn, 2026, needs more optimization.
12 419 0.451848383971 Henry Cohn, 2026, needs more optimization.
12 420 0.452184525253 Henry Cohn, 2026, needs more optimization.
12 421 0.452262218541 Henry Cohn, 2026, needs more optimization.
12 422 0.452320798017 Henry Cohn, 2026, needs more optimization.
12 423 0.452516451682 Henry Cohn, 2026, needs more optimization.
12 424 0.456882411682 Henry Cohn, 2026, needs more optimization.
12 425 0.457291180410 Henry Cohn, 2026, needs more optimization.
12 426 0.458837662299 Henry Cohn, 2026, needs more optimization.
12 427 0.461116869621 Henry Cohn, 2026, needs more optimization.
12 428 0.461128494529 Henry Cohn, 2026, needs more optimization.
12 429 0.462348795562 Henry Cohn, 2026, needs more optimization.
12 430 0.462965876873 Henry Cohn, 2026, needs more optimization.
12 431 0.462987807945 Henry Cohn, 2026, needs more optimization.
12 432 0.463016206511 Henry Cohn, 2026, needs more optimization.
12 433 0.463829785438 Henry Cohn, 2026, needs more optimization.
12 434 0.463958790166 Henry Cohn, 2026, needs more optimization.
12 435 0.464572683206 Henry Cohn, 2026, needs more optimization.
12 436 0.464679701523 Henry Cohn, 2026, needs more optimization.
12 437 0.465610334255 Henry Cohn, 2026, needs more optimization.
12 438 0.466372398551 Henry Cohn, 2026, needs more optimization.
12 439 0.466428572238 Henry Cohn, 2026, needs more optimization.
12 440 0.466714022352 Henry Cohn, 2026, needs more optimization.
12 441 0.466822340755 Henry Cohn, 2026, needs more optimization.
12 442 0.466840863002 Henry Cohn, 2026, needs more optimization.
12 443 0.467015426132 Henry Cohn, 2026, needs more optimization.
12 444 0.467286686956 Henry Cohn, 2026, needs more optimization.
12 445 0.467545780478 Henry Cohn, 2026, needs more optimization.
12 446 0.467614598086 Henry Cohn, 2026, needs more optimization.
12 447 0.467997176078 Henry Cohn, 2026, needs more optimization.
12 448 0.468421986576 Henry Cohn, 2026, needs more optimization.
12 449 0.468571617209 Henry Cohn, 2026, needs more optimization.
12 450 0.468644154339 Henry Cohn, 2026, needs more optimization.
12 451 0.468802964750 Henry Cohn, 2026, needs more optimization.
12 452 0.469048987739 Henry Cohn, 2026, needs more optimization.
12 453 0.469328440003 Henry Cohn, 2026, needs more optimization.
12 454 0.469606588016 Henry Cohn, 2026, needs more optimization.
12 455 0.469679837061 Henry Cohn, 2026, needs more optimization.
12 456 0.470010007715 Henry Cohn, 2026, needs more optimization.
12 457 0.470412946479 Henry Cohn, 2026, needs more optimization.
12 458 0.470551891309 Henry Cohn, 2026, needs more optimization.
12 459 0.470763877925 Henry Cohn, 2026, needs more optimization.
12 460 0.470860456816 Henry Cohn, 2026, needs more optimization.
12 461 0.471121023194 Henry Cohn, 2026, needs more optimization.
12 462 0.471304007762 Henry Cohn, 2026, needs more optimization.
12 463 0.471400951839 Henry Cohn, 2026, needs more optimization.
12 464 0.471498925770 Henry Cohn, 2026, needs more optimization.
12 465 0.471797927026 Henry Cohn, 2026, needs more optimization.
12 466 0.472033442765 Henry Cohn, 2026, needs more optimization.
12 467 0.472173760227 Henry Cohn, 2026, needs more optimization.
12 468 0.472360470023 Henry Cohn, 2026, needs more optimization.
12 469 0.472507438980 Henry Cohn, 2026, needs more optimization.
12 470 0.472563702443 Henry Cohn, 2026, needs more optimization.
12 471 0.472639616873 Henry Cohn, 2026, needs more optimization.
12 472 0.472850740166 Henry Cohn, 2026, needs more optimization.
12 473 0.472968741699 Henry Cohn, 2026, needs more optimization.
12 474 0.473190690532 Henry Cohn, 2026, needs more optimization.
12 475 0.473309027826 Henry Cohn, 2026, needs more optimization.
12 476 0.473502285339 Henry Cohn, 2026, needs more optimization.
12 477 0.473732391330 Henry Cohn, 2026, needs more optimization.
12 478 0.474000268191 Henry Cohn, 2026, needs more optimization.
12 479 0.474131663153 Henry Cohn, 2026, needs more optimization.
12 480 0.474153068883 Henry Cohn, 2026, needs more optimization.
12 481 0.474556861624 Henry Cohn, 2026, needs more optimization.
12 482 0.474717521214 Henry Cohn, 2026, needs more optimization.
12 483 0.474834284436 Henry Cohn, 2026, needs more optimization.
12 484 0.475022075064 Henry Cohn, 2026, needs more optimization.
12 485 0.475241737964 Henry Cohn, 2026, needs more optimization.
12 486 0.475351166587 Henry Cohn, 2026, needs more optimization.
12 487 0.475666737496 Henry Cohn, 2026, needs more optimization.
12 488 0.475840169949 Henry Cohn, 2026, needs more optimization.
12 489 0.475998834172 Henry Cohn, 2026, needs more optimization.
12 490 0.476040317166 Henry Cohn, 2026, needs more optimization.
12 491 0.476148034008 Henry Cohn, 2026, needs more optimization.
12 492 0.476255812983 Henry Cohn, 2026, needs more optimization.
12 493 0.476402129574 Henry Cohn, 2026, needs more optimization.
12 494 0.476568802145 Henry Cohn, 2026, needs more optimization.
12 495 0.476728912792 Henry Cohn, 2026, needs more optimization.
12 496 0.476773409518 Henry Cohn, 2026, needs more optimization.
12 497 0.476960803654 Henry Cohn, 2026, needs more optimization.
12 498 0.477170402087 Henry Cohn, 2026, needs more optimization.
12 499 0.477477499452 Henry Cohn, 2026, needs more optimization.
12 500 0.477528305927 Henry Cohn, 2026, needs more optimization.
12 501 0.477594032096 Henry Cohn, 2026, needs more optimization.
12 502 0.477721507433 Henry Cohn, 2026, needs more optimization.
12 503 0.477838658876 Henry Cohn, 2026, needs more optimization.
12 504 0.478183398979 Henry Cohn, 2026, needs more optimization.
12 505 0.478494403602 Henry Cohn, 2026, needs more optimization.
12 506 0.478500074778 Henry Cohn, 2026, needs more optimization.
12 507 0.478815500854 Henry Cohn, 2026, needs more optimization.
12 508 0.478909859755 Henry Cohn, 2026, needs more optimization.
12 509 0.479118873860 Henry Cohn, 2026, needs more optimization.
12 510 0.479317959364 Henry Cohn, 2026, needs more optimization.
12 511 0.479335993145 Henry Cohn, 2026, needs more optimization.
12 512 0.479558854366 Henry Cohn, 2026, needs more optimization.
12 513 0.479748913929 Henry Cohn, 2026, needs more optimization.
12 514 0.479804861213 Henry Cohn, 2026, needs more optimization.
12 515 0.480125422479 Henry Cohn, 2026, needs more optimization.
12 516 0.480369919730 Henry Cohn, 2026, needs more optimization.
12 517 0.480455926551 Henry Cohn, 2026, needs more optimization.
12 518 0.480662489351 Henry Cohn, 2026, needs more optimization.
12 519 0.480992940107 Henry Cohn, 2026, needs more optimization.
12 520 0.481129185176 Henry Cohn, 2026, needs more optimization.
12 521 0.481161444606 Henry Cohn, 2026, needs more optimization.
12 522 0.481233781161 Henry Cohn, 2026, needs more optimization.
12 523 0.481377522091 Henry Cohn, 2026, needs more optimization.
12 524 0.481452919997 Henry Cohn, 2026, needs more optimization.
12 525 0.481624731049 Henry Cohn, 2026, needs more optimization.
12 526 0.481803056022 Henry Cohn, 2026, needs more optimization.
12 527 0.481893513610 Henry Cohn, 2026, needs more optimization.
12 528 0.482023132248 Henry Cohn, 2026, needs more optimization.
12 529 0.482197457858 Henry Cohn, 2026, needs more optimization.
12 530 0.482387220812 Henry Cohn, 2026, needs more optimization.
12 531 0.482450091199 Henry Cohn, 2026, needs more optimization.
12 532 0.482590181171 Henry Cohn, 2026, needs more optimization.
12 533 0.482722801879 Henry Cohn, 2026, needs more optimization.
12 534 0.482791622718 Henry Cohn, 2026, needs more optimization.
12 535 0.482948344893 Henry Cohn, 2026, needs more optimization.
12 536 0.483068505038 Henry Cohn, 2026, needs more optimization.
12 537 0.483118270764 Henry Cohn, 2026, needs more optimization.
12 538 0.483240592952 Henry Cohn, 2026, needs more optimization.
12 539 0.483419568719 Henry Cohn, 2026, needs more optimization.
12 540 0.483465465077 Henry Cohn, 2026, needs more optimization.
12 541 0.483525962109 Henry Cohn, 2026, needs more optimization.
12 542 0.483675959785 Henry Cohn, 2026, needs more optimization.
12 543 0.483819256933 Henry Cohn, 2026, needs more optimization.
12 544 0.483910506227 Henry Cohn, 2026, needs more optimization.
12 545 0.483976926021 Henry Cohn, 2026, needs more optimization.
12 546 0.484084883576 Henry Cohn, 2026, needs more optimization.
12 547 0.484364686608 Henry Cohn, 2026, needs more optimization.
12 548 0.484614968442 Henry Cohn, 2026, needs more optimization.
12 549 0.484875157928 Henry Cohn, 2026, needs more optimization.
12 550 0.485010611226 Henry Cohn, 2026, needs more optimization.
12 551 0.485190329035 Henry Cohn, 2026, needs more optimization.
12 552 0.485339819710 Henry Cohn, 2026, needs more optimization.
12 553 0.485393348858 Henry Cohn, 2026, needs more optimization.
12 554 0.485610828018 Henry Cohn, 2026, needs more optimization.
12 555 0.485682165502 Henry Cohn, 2026, needs more optimization.
12 556 0.485732170161 Henry Cohn, 2026, needs more optimization.
12 557 0.485842477870 Henry Cohn, 2026, needs more optimization.
12 558 0.485951706408 Henry Cohn, 2026, needs more optimization.
12 559 0.486116182206 Henry Cohn, 2026, needs more optimization.
12 560 0.486201174379 Henry Cohn, 2026, needs more optimization.
12 561 0.486303541053 Henry Cohn, 2026, needs more optimization.
12 562 0.486339718255 Henry Cohn, 2026, needs more optimization.
12 563 0.486533811563 Henry Cohn, 2026, needs more optimization.
12 564 0.486602693924 Henry Cohn, 2026, needs more optimization.
12 565 0.486701591119 Henry Cohn, 2026, needs more optimization.
12 566 0.486760355125 Henry Cohn, 2026, needs more optimization.
12 567 0.486806743758 Henry Cohn, 2026, needs more optimization.
12 568 0.487009688418 Henry Cohn, 2026, needs more optimization.
12 569 0.487120711703 Henry Cohn, 2026, needs more optimization.
12 570 0.487269282062 Henry Cohn, 2026, needs more optimization.
12 571 0.487407178153 Henry Cohn, 2026, needs more optimization.
12 572 0.487517628121 Henry Cohn, 2026, needs more optimization.
12 573 0.487576038898 Henry Cohn, 2026, needs more optimization.
12 574 0.487659677151 Henry Cohn, 2026, needs more optimization.
12 575 0.487731542939 Henry Cohn, 2026, needs more optimization.
12 576 0.487774961114 Henry Cohn, 2026, needs more optimization.
12 577 0.487986495796 Henry Cohn, 2026, needs more optimization.
12 578 0.488209427669 Henry Cohn, 2026, needs more optimization.
12 579 0.488292467662 Henry Cohn, 2026, needs more optimization.
12 580 0.488319303019 Henry Cohn, 2026, needs more optimization.
12 581 0.488372597930 Henry Cohn, 2026, needs more optimization.
12 583 0.488433778743 Henry Cohn, 2026, needs more optimization.
12 584 0.488489046013 Henry Cohn, 2026, needs more optimization.
12 585 0.488647508344 Henry Cohn, 2026, needs more optimization.
12 586 0.488711435273 Henry Cohn, 2026, needs more optimization.
12 587 0.488766531248 Henry Cohn, 2026, needs more optimization.
12 588 0.488908107400 Henry Cohn, 2026, needs more optimization.
12 589 0.488982570117 Henry Cohn, 2026, needs more optimization.
12 590 0.489114730871 Henry Cohn, 2026, needs more optimization.
12 591 0.489170643085 Henry Cohn, 2026, needs more optimization.
12 592 0.489229368270 Henry Cohn, 2026, needs more optimization.
12 593 0.489345437743 Henry Cohn, 2026, needs more optimization.
12 594 0.489396566035 Henry Cohn, 2026, needs more optimization.
12 596 0.489567761554 Henry Cohn, 2026, needs more optimization.
12 597 0.489583097974 Henry Cohn, 2026, needs more optimization.
12 598 0.489699755428 Henry Cohn, 2026, needs more optimization.
12 600 0.489789568197 Henry Cohn, 2026, needs more optimization.
12 601 0.489914200629 Henry Cohn, 2026, needs more optimization.
12 602 0.489978810690 Henry Cohn, 2026, needs more optimization.
12 603 0.490122803891 Henry Cohn, 2026, needs more optimization.
12 604 0.490214744978 Henry Cohn, 2026, needs more optimization.
12 605 0.490303569374 Henry Cohn, 2026, needs more optimization.
12 606 0.490364427001 Henry Cohn, 2026, needs more optimization.
12 607 0.490507774344 Henry Cohn, 2026, needs more optimization.
12 608 0.490551367954 Henry Cohn, 2026, needs more optimization.
12 609 0.490560123724 Henry Cohn, 2026, needs more optimization.
12 610 0.490616553708 Henry Cohn, 2026, needs more optimization.
12 611 0.490717502935 Henry Cohn, 2026, needs more optimization.
12 612 0.490735625313 Henry Cohn, 2026, needs more optimization.
12 613 0.490919126799 Henry Cohn, 2026, needs more optimization.
12 614 0.490970971323 Henry Cohn, 2026, needs more optimization.
12 615 0.491036024774 Henry Cohn, 2026, needs more optimization.
12 616 0.491226964938 Henry Cohn, 2026, needs more optimization.
12 617 0.491356621271 Henry Cohn, 2026, needs more optimization.
12 618 0.491428619625 Henry Cohn, 2026, needs more optimization.
12 619 0.491457302834 Henry Cohn, 2026, needs more optimization.
12 620 0.491606824591 Henry Cohn, 2026, needs more optimization.
12 621 0.491667734599 Henry Cohn, 2026, needs more optimization.
12 622 0.491732195857 Henry Cohn, 2026, needs more optimization.
12 623 0.491777097308 Henry Cohn, 2026, needs more optimization.
12 624 0.491836528199 Henry Cohn, 2026, needs more optimization.
12 625 0.491869633604 Henry Cohn, 2026, needs more optimization.
12 626 0.491941377008 Henry Cohn, 2026, needs more optimization.
12 627 0.491975188739 Henry Cohn, 2026, needs more optimization.
12 628 0.492056294921 Henry Cohn, 2026, needs more optimization.
12 629 0.492083705241 Henry Cohn, 2026, needs more optimization.
12 630 0.492110700235 Henry Cohn, 2026, needs more optimization.
12 631 0.492187287303 Henry Cohn, 2026, needs more optimization.
12 632 0.492311406133 Henry Cohn, 2026, needs more optimization.
12 633 0.492398760831 Henry Cohn, 2026, needs more optimization.
12 634 0.492414387261 Henry Cohn, 2026, needs more optimization.
12 635 0.492486064920 Henry Cohn, 2026, needs more optimization.
12 636 0.492572839105 Henry Cohn, 2026, needs more optimization.
12 637 0.492628632722 Henry Cohn, 2026, needs more optimization.
12 638 0.492714774980 Henry Cohn, 2026, needs more optimization.
12 639 0.492763840853 Henry Cohn, 2026, needs more optimization.
12 640 0.492907625165 Henry Cohn, 2026, needs more optimization.
12 641 0.493004659644 Henry Cohn, 2026, needs more optimization.
12 642 0.493030977573 Henry Cohn, 2026, needs more optimization.
12 643 0.493123665923 Henry Cohn, 2026, needs more optimization.
12 644 0.493171593809 Henry Cohn, 2026, needs more optimization.
12 645 0.493206005342 Henry Cohn, 2026, needs more optimization.
12 647 0.493212111872 Henry Cohn, 2026, needs more optimization.
12 648 0.493259028838 Henry Cohn, 2026, needs more optimization.
12 649 0.493342664181 Henry Cohn, 2026, needs more optimization.
12 650 0.493364446729 Henry Cohn, 2026, needs more optimization.
12 651 0.493422599935 Henry Cohn, 2026, needs more optimization.
12 652 0.493446579241 Henry Cohn, 2026, needs more optimization.
12 653 0.493483499559 Henry Cohn, 2026, needs more optimization.
12 654 0.493494560935 Henry Cohn, 2026, needs more optimization.
12 655 0.493610890223 Henry Cohn, 2026, needs more optimization.
12 657 0.493655298795 Henry Cohn, 2026, needs more optimization.
12 658 0.493785469513 Henry Cohn, 2026, needs more optimization.
12 659 0.493829267774 Henry Cohn, 2026, needs more optimization.
12 660 0.493849046932 Henry Cohn, 2026, needs more optimization.
12 661 0.493903406949 Henry Cohn, 2026, needs more optimization.
12 662 0.493953118639 Henry Cohn, 2026, needs more optimization.
12 663 0.493997161644 Henry Cohn, 2026, needs more optimization.
12 664 0.494105935168 Henry Cohn, 2026, needs more optimization.
12 665 0.494261830745 Henry Cohn, 2026, needs more optimization.
12 666 0.494295962000 Henry Cohn, 2026, needs more optimization.
12 668 0.494354421681 Henry Cohn, 2026, needs more optimization.
12 669 0.494414592565 Henry Cohn, 2026, needs more optimization.
12 670 0.494585635817 Henry Cohn, 2026, needs more optimization.
12 671 0.494586566163 Henry Cohn, 2026, needs more optimization.
12 674 0.494688327652 Henry Cohn, 2026, needs more optimization.
12 675 0.494711978578 Henry Cohn, 2026, needs more optimization.
12 676 0.494763400995 Henry Cohn, 2026, needs more optimization.
12 678 0.494766885443 Henry Cohn, 2026, needs more optimization.
12 679 0.494842488558 Henry Cohn, 2026, needs more optimization.
12 680 0.494879922890 Henry Cohn, 2026, needs more optimization.
12 681 0.494924006223 Henry Cohn, 2026, needs more optimization.
12 682 0.495026880987 Henry Cohn, 2026, needs more optimization.
12 683 0.495101549660 Henry Cohn, 2026, needs more optimization.
12 684 0.495135488828 Henry Cohn, 2026, needs more optimization.
12 685 0.495143911970 Henry Cohn, 2026, needs more optimization.
12 686 0.495159634105 Henry Cohn, 2026, needs more optimization.
12 687 0.495178571327 Henry Cohn, 2026, needs more optimization.
12 688 0.495259900826 Henry Cohn, 2026, needs more optimization.
12 689 0.495339156262 Henry Cohn, 2026, needs more optimization.
12 690 0.495401671726 Henry Cohn, 2026, needs more optimization.
12 691 0.495452188772 Henry Cohn, 2026, needs more optimization.
12 692 0.495481936635 Henry Cohn, 2026, needs more optimization.
12 693 0.495562697584 Henry Cohn, 2026, needs more optimization.
12 694 0.495567352759 Henry Cohn, 2026, needs more optimization.
12 695 0.495596401353 Henry Cohn, 2026, needs more optimization.
12 696 0.495614757182 Henry Cohn, 2026, needs more optimization.
12 698 0.495697817636 Henry Cohn, 2026, needs more optimization.
12 699 0.495779088297 Henry Cohn, 2026, needs more optimization.
12 701 0.495810529426 Henry Cohn, 2026, needs more optimization.
12 703 0.495903120989 Henry Cohn, 2026, needs more optimization.
12 704 0.495944816237 Henry Cohn, 2026, needs more optimization.
12 705 0.495981676443 Henry Cohn, 2026, needs more optimization.
12 706 0.496056473922 Henry Cohn, 2026, needs more optimization.
12 707 0.496075511906 Henry Cohn, 2026, needs more optimization.
12 708 0.496135124400 Henry Cohn, 2026, needs more optimization.
12 709 0.496183017601 Henry Cohn, 2026, needs more optimization.
12 710 0.496201861143 Henry Cohn, 2026, needs more optimization.
12 711 0.496227786284 Henry Cohn, 2026, needs more optimization.
12 712 0.496244265865 Henry Cohn, 2026, needs more optimization.
12 716 0.496355791667 Henry Cohn, 2026, needs more optimization.
12 717 0.496374121700 Henry Cohn, 2026, needs more optimization.
12 719 0.496420716137 Henry Cohn, 2026, needs more optimization.
12 720 0.496458086738 Henry Cohn, 2026, needs more optimization.
12 721 0.496505667386 Henry Cohn, 2026, needs more optimization.
12 722 0.496601020519 Henry Cohn, 2026, needs more optimization.
12 723 0.496637942179 Henry Cohn, 2026, needs more optimization.
12 724 0.496638392337 Henry Cohn, 2026, needs more optimization.
12 726 0.496682790920 Henry Cohn, 2026, needs more optimization.
12 727 0.496693807341 Henry Cohn, 2026, needs more optimization.
12 728 0.496730316027 Henry Cohn, 2026, needs more optimization.
12 729 0.496744523127 Henry Cohn, 2026, needs more optimization.
12 730 0.496750219665 Henry Cohn, 2026, needs more optimization.
12 732 0.496763131411 Henry Cohn, 2026, needs more optimization.
12 733 0.496812294113 Henry Cohn, 2026, needs more optimization.
12 734 0.496812513937 Henry Cohn, 2026, needs more optimization.
12 735 0.496835269342 Henry Cohn, 2026, needs more optimization.
12 737 0.496842740366 Henry Cohn, 2026, needs more optimization.
12 741 0.496874543969 Henry Cohn, 2026, needs more optimization.
12 744 0.496891435351 Henry Cohn, 2026, needs more optimization.
12 745 0.496904373124 Henry Cohn, 2026, needs more optimization.
12 746 0.496965168867 Henry Cohn, 2026, needs more optimization.
12 747 0.496992888575 Henry Cohn, 2026, needs more optimization.
12 748 0.497031390151 Henry Cohn, 2026, needs more optimization.
12 749 0.497035555065 Henry Cohn, 2026, needs more optimization.
12 751 0.497053309283 Henry Cohn, 2026, needs more optimization.
12 755 0.497068192045 Henry Cohn, 2026, needs more optimization.
12 756 0.497189963654 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, after some further optimization.
12 757 0.498404493979 Henry Cohn, 2026, needs more optimization.
12 840 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, 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
12 841 0.510614907659 Henry Cohn, 2026, needs more optimization.
12 842 0.514995588258 Henry Cohn, 2026, needs more optimization.
12 843 0.515289533155 Henry Cohn, 2026, needs more optimization.
12 844 0.516448555832 Henry Cohn, 2026, needs more optimization.
12 845 0.516672993164 Henry Cohn, 2026, needs more optimization.
12 846 0.516947064891 Henry Cohn, 2026, needs more optimization.
12 847 0.517297991762 Henry Cohn, 2026, needs more optimization.
12 848 0.517698483455 Henry Cohn, 2026, needs more optimization.
12 849 0.518032359937 Henry Cohn, 2026, needs more optimization.
12 850 0.518725091823 Henry Cohn, 2026, needs more optimization.
12 851 0.518981749654 Henry Cohn, 2026, needs more optimization.
12 852 0.519389713921 Henry Cohn, 2026, needs more optimization.
12 853 0.519709409998 Henry Cohn, 2026, needs more optimization.
12 854 0.520111042334 Henry Cohn, 2026, needs more optimization.
12 855 0.520375215190 Henry Cohn, 2026, needs more optimization.
12 856 0.520805713262 Henry Cohn, 2026, needs more optimization.
12 857 0.521090208200 Henry Cohn, 2026, needs more optimization.
12 858 0.521427788830 Henry Cohn, 2026, needs more optimization.
12 859 0.522003450493 Henry Cohn, 2026, needs more optimization.
12 860 0.522330651865 Henry Cohn, 2026, needs more optimization.
12 861 0.522629741145 Henry Cohn, 2026, needs more optimization.
12 862 0.522873285516 Henry Cohn, 2026, needs more optimization.
12 863 0.523071901596 Henry Cohn, 2026, needs more optimization.
12 864 0.523313944935 Henry Cohn, 2026, needs more optimization.
12 865 0.523728237335 Henry Cohn, 2026, needs more optimization.
12 866 0.524026644248 Henry Cohn, 2026, needs more optimization.
12 867 0.524212553856 Henry Cohn, 2026, needs more optimization.
12 868 0.524359513832 Henry Cohn, 2026, needs more optimization.
12 869 0.524664622271 Henry Cohn, 2026, needs more optimization.
12 870 0.524859973840 Henry Cohn, 2026, needs more optimization.
12 871 0.525060947757 Henry Cohn, 2026, needs more optimization.
12 872 0.525539008720 Henry Cohn, 2026, needs more optimization.
12 873 0.525803611316 Henry Cohn, 2026, needs more optimization.
12 874 0.526157485851 Henry Cohn, 2026, needs more optimization.
12 875 0.526361343693 Henry Cohn, 2026, needs more optimization.
12 876 0.526619188543 Henry Cohn, 2026, needs more optimization.
12 877 0.526865997387 Henry Cohn, 2026, needs more optimization.
12 878 0.527175658926 Henry Cohn, 2026, needs more optimization.
12 879 0.527401127537 Henry Cohn, 2026, needs more optimization.
12 880 0.527642757197 Henry Cohn, 2026, needs more optimization.
12 881 0.527880860526 Henry Cohn, 2026, needs more optimization.
12 882 0.528205605513 Henry Cohn, 2026, needs more optimization.
12 883 0.528440311430 Henry Cohn, 2026, needs more optimization.
12 884 0.528801685251 Henry Cohn, 2026, needs more optimization.
12 885 0.528995232937 Henry Cohn, 2026, needs more optimization.
12 886 0.529176035537 Henry Cohn, 2026, needs more optimization.
12 887 0.529469017165 Henry Cohn, 2026, needs more optimization.
12 888 0.529702278211 Henry Cohn, 2026, needs more optimization.
12 889 0.530280183062 Henry Cohn, 2026, needs more optimization.
12 890 0.530484075414 Henry Cohn, 2026, needs more optimization.
12 891 0.530628943664 Henry Cohn, 2026, needs more optimization.
12 892 0.530907495819 Henry Cohn, 2026, needs more optimization.
12 893 0.531096669585 Henry Cohn, 2026, needs more optimization.
12 894 0.531333038569 Henry Cohn, 2026, needs more optimization.
12 895 0.531665151249 Henry Cohn, 2026, needs more optimization.
12 896 0.531895428657 Henry Cohn, 2026, needs more optimization.
12 897 0.532183831581 Henry Cohn, 2026, needs more optimization.
12 898 0.532332758193 Henry Cohn, 2026, needs more optimization.
12 899 0.532523807722 Henry Cohn, 2026, needs more optimization.
12 900 0.532671631587 Henry Cohn, 2026, needs more optimization.
12 901 0.532830718931 Henry Cohn, 2026, needs more optimization.
12 902 0.533049784939 Henry Cohn, 2026, needs more optimization.
12 903 0.533229636476 Henry Cohn, 2026, needs more optimization.
12 904 0.533495806199 Henry Cohn, 2026, needs more optimization.
12 905 0.533705802601 Henry Cohn, 2026, needs more optimization.
12 906 0.533941922580 Henry Cohn, 2026, needs more optimization.
12 907 0.534098735395 Henry Cohn, 2026, needs more optimization.
12 908 0.534342725123 Henry Cohn, 2026, needs more optimization.
12 909 0.534473128359 Henry Cohn, 2026, needs more optimization.
12 910 0.534647152375 Henry Cohn, 2026, needs more optimization.
12 911 0.534863842855 Henry Cohn, 2026, needs more optimization.
12 912 0.535066064621 Henry Cohn, 2026, needs more optimization.
12 913 0.535268906166 Henry Cohn, 2026, needs more optimization.
12 914 0.535544034233 Henry Cohn, 2026, needs more optimization.
12 915 0.535863349804 Henry Cohn, 2026, needs more optimization.
12 916 0.536073989988 Henry Cohn, 2026, needs more optimization.
12 917 0.536223480242 Henry Cohn, 2026, needs more optimization.
12 918 0.536585462431 Henry Cohn, 2026, needs more optimization.
12 919 0.536815829315 Henry Cohn, 2026, needs more optimization.
12 920 0.537048800592 Henry Cohn, 2026, needs more optimization.
12 921 0.537186201348 Henry Cohn, 2026, needs more optimization.
12 922 0.537376882086 Henry Cohn, 2026, needs more optimization.
12 923 0.537568054181 Henry Cohn, 2026, needs more optimization.
12 924 0.537778670829 Henry Cohn, 2026, needs more optimization.
12 925 0.537855341142 Henry Cohn, 2026, needs more optimization.
12 926 0.538124762937 Henry Cohn, 2026, needs more optimization.
12 927 0.538232522806 Henry Cohn, 2026, needs more optimization.
12 928 0.538385454800 Henry Cohn, 2026, needs more optimization.
12 929 0.538580257645 Henry Cohn, 2026, needs more optimization.
12 930 0.538728277128 Henry Cohn, 2026, needs more optimization.
12 931 0.538987791972 Henry Cohn, 2026, needs more optimization.
12 932 0.539158374836 Henry Cohn, 2026, needs more optimization.
12 933 0.539348740746 Henry Cohn, 2026, needs more optimization.
12 934 0.539496102903 Henry Cohn, 2026, needs more optimization.
12 935 0.539714398715 Henry Cohn, 2026, needs more optimization.
12 936 0.539882519338 Henry Cohn, 2026, needs more optimization.
12 937 0.540092324045 Henry Cohn, 2026, needs more optimization.
12 938 0.540285038753 Henry Cohn, 2026, needs more optimization.
12 939 0.540507862230 Henry Cohn, 2026, needs more optimization.
12 940 0.540691474508 Henry Cohn, 2026, needs more optimization.
12 941 0.540920185819 Henry Cohn, 2026, needs more optimization.
12 942 0.541029498401 Henry Cohn, 2026, needs more optimization.
12 943 0.541142464861 Henry Cohn, 2026, needs more optimization.
12 944 0.541314840341 Henry Cohn, 2026, needs more optimization.
12 945 0.541540450147 Henry Cohn, 2026, needs more optimization.
12 946 0.541685721466 Henry Cohn, 2026, needs more optimization.
12 947 0.542009756856 Henry Cohn, 2026, needs more optimization.
12 948 0.542122700795 Henry Cohn, 2026, needs more optimization.
12 949 0.542256389958 Henry Cohn, 2026, needs more optimization.
12 950 0.542409545131 Henry Cohn, 2026, needs more optimization.
12 951 0.542553030256 Henry Cohn, 2026, needs more optimization.
12 952 0.542775859269 Henry Cohn, 2026, needs more optimization.
12 953 0.543049910990 Henry Cohn, 2026, needs more optimization.
12 954 0.543201676793 Henry Cohn, 2026, needs more optimization.
12 955 0.543423204586 Henry Cohn, 2026, needs more optimization.
12 956 0.543510198721 Henry Cohn, 2026, needs more optimization.
12 957 0.543691418000 Henry Cohn, 2026, needs more optimization.
12 958 0.543831107255 Henry Cohn, 2026, needs more optimization.
12 959 0.543978643323 Henry Cohn, 2026, needs more optimization.
12 960 0.544139740862 Henry Cohn, 2026, needs more optimization.
12 961 0.544254121437 Henry Cohn, 2026, needs more optimization.
12 962 0.544468409990 Henry Cohn, 2026, needs more optimization.
12 963 0.544559083252 Henry Cohn, 2026, needs more optimization.
12 964 0.544733217749 Henry Cohn, 2026, needs more optimization.
12 965 0.544865488425 Henry Cohn, 2026, needs more optimization.
12 966 0.544956885055 Henry Cohn, 2026, needs more optimization.
12 967 0.545139690369 Henry Cohn, 2026, needs more optimization.
12 968 0.545287166200 Henry Cohn, 2026, needs more optimization.
12 969 0.545473213855 Henry Cohn, 2026, needs more optimization.
12 970 0.545542600042 Henry Cohn, 2026, needs more optimization.
12 971 0.545649837816 Henry Cohn, 2026, needs more optimization.
12 972 0.545757753479 Henry Cohn, 2026, needs more optimization.
12 973 0.545948956665 Henry Cohn, 2026, needs more optimization.
12 974 0.546154464703 Henry Cohn, 2026, needs more optimization.
12 975 0.546292325780 Henry Cohn, 2026, needs more optimization.
12 976 0.546428054198 Henry Cohn, 2026, needs more optimization.
12 977 0.546578660167 Henry Cohn, 2026, needs more optimization.
12 978 0.546695247381 Henry Cohn, 2026, needs more optimization.
12 979 0.546835863497 Henry Cohn, 2026, needs more optimization.
12 980 0.546901188591 Henry Cohn, 2026, needs more optimization.
12 981 0.547089831331 Henry Cohn, 2026, needs more optimization.
12 982 0.547148206147 Henry Cohn, 2026, needs more optimization.
12 983 0.547292552987 Henry Cohn, 2026, needs more optimization.
12 984 0.547454577367 Henry Cohn, 2026, needs more optimization.
12 985 0.547608386006 Henry Cohn, 2026, needs more optimization.
12 986 0.547738018489 Henry Cohn, 2026, needs more optimization.
12 987 0.547827534126 Henry Cohn, 2026, needs more optimization.
12 988 0.547952131606 Henry Cohn, 2026, needs more optimization.
12 990 0.548110985011 Henry Cohn, 2026, needs more optimization.
12 991 0.548301951502 Henry Cohn, 2026, needs more optimization.
12 992 0.548385407169 Henry Cohn, 2026, needs more optimization.
12 993 0.548514390515 Henry Cohn, 2026, needs more optimization.
12 994 0.548702942156 Henry Cohn, 2026, needs more optimization.
12 995 0.548795488313 Henry Cohn, 2026, needs more optimization.
12 996 0.549016924005 Henry Cohn, 2026, needs more optimization.
12 997 0.549103877430 Henry Cohn, 2026, needs more optimization.
12 998 0.549270112679 Henry Cohn, 2026, needs more optimization.
12 999 0.549441261440 Henry Cohn, 2026, needs more optimization.
12 1000 0.549642552973 Henry Cohn, 2026, needs more optimization.
12 1001 0.549783254572 Henry Cohn, 2026, needs more optimization.
12 1002 0.549973179097 Henry Cohn, 2026, needs more optimization.
12 1003 0.550056288838 Henry Cohn, 2026, needs more optimization.
12 1004 0.550248477717 Henry Cohn, 2026, needs more optimization.
12 1005 0.550326937165 Henry Cohn, 2026, needs more optimization.
12 1006 0.550415235141 Henry Cohn, 2026, needs more optimization.
12 1007 0.550527642160 Henry Cohn, 2026, needs more optimization.
12 1008 0.550682793423 Henry Cohn, 2026, needs more optimization.
12 1009 0.550833497014 Henry Cohn, 2026, needs more optimization.
12 1010 0.550985437910 Henry Cohn, 2026, needs more optimization.
12 1011 0.551127335991 Henry Cohn, 2026, needs more optimization.
12 1012 0.551186044569 Henry Cohn, 2026, needs more optimization.
12 1013 0.551348911817 Henry Cohn, 2026, needs more optimization.
12 1014 0.551430306610 Henry Cohn, 2026, needs more optimization.
12 1015 0.551519790056 Henry Cohn, 2026, needs more optimization.
12 1016 0.551722283601 Henry Cohn, 2026, needs more optimization.
12 1017 0.551836155267 Henry Cohn, 2026, needs more optimization.
12 1018 0.551919129273 Henry Cohn, 2026, needs more optimization.
12 1019 0.552122346162 Henry Cohn, 2026, needs more optimization.
12 1020 0.552257049128 Henry Cohn, 2026, needs more optimization.
12 1021 0.552402507557 Henry Cohn, 2026, needs more optimization.
12 1022 0.552472269741 Henry Cohn, 2026, needs more optimization.
12 1023 0.552628293134 Henry Cohn, 2026, needs more optimization.
12 1024 0.552791951280 Henry Cohn, 2026, needs more optimization.
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 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 0.147908234060 Henry Cohn, 2024.
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 58 0.173474302723 Henry Cohn, 2023.
13 59 0.180540658957 Henry Cohn, 2024.
13 60 0.184387527775 Henry Cohn, 2026.
13 61 0.189130618757 Henry Cohn, 2026.
13 62 0.189939244395 Henry Cohn, 2026.
13 63 0.193274783328 Henry Cohn, 2026.
13 64 0.194849252724 Henry Cohn, 2026.
13 65 0.198937958705 Henry Cohn, 2026.
13 66 0.201499955088 Henry Cohn, 2026.
13 67 0.204059765290 Henry Cohn, 2026.
13 68 0.207236674050 Henry Cohn, 2026.
13 69 0.208426937688 Henry Cohn, 2026.
13 70 0.210761730652 Henry Cohn, 2026, needs more optimization.
13 71 0.212574330623 Henry Cohn, 2025.
13 72 0.214183844238 Henry Cohn, 2025.
13 73 0.216144696633 Henry Cohn, 2026, needs more optimization.
13 74 0.217555077772 Henry Cohn, 2026, needs more optimization.
13 75 0.219796325248 Henry Cohn, 2026, needs more optimization.
13 76 0.222090008830 Henry Cohn, 2026, needs more optimization.
13 77 0.224126205712 Henry Cohn, 2026, needs more optimization.
13 78 0.226253188927 Henry Cohn, 2026, needs more optimization.
13 79 0.228139500109 Henry Cohn, 2026, needs more optimization.
13 80 0.230720126969 Henry Cohn, 2026, needs more optimization.
13 81 0.232720216127 Henry Cohn, 2024, needs more optimization.
13 82 0.234406900251 Henry Cohn, 2026, needs more optimization.
13 83 0.236560164014 Henry Cohn, 2026, needs more optimization.
13 84 0.238093292153 Henry Cohn, 2026, needs more optimization.
13 85 0.239148109907 Henry Cohn, 2026, needs more optimization.
13 86 0.240112147390 Henry Cohn, 2026, needs more optimization.
13 87 0.241034848687 Henry Cohn, 2026, needs more optimization.
13 88 0.242148839888 Henry Cohn, 2026, needs more optimization.
13 89 0.243767059733 Henry Cohn, 2026, needs more optimization.
13 90 0.244051243617 Henry Cohn, 2026, needs more optimization.
13 91 0.244053162699 Henry Cohn, 2026, needs more optimization.
13 92 0.244054142367 Henry Cohn, 2026, needs more optimization.
13 93 0.244060811292 Henry Cohn, 2026, needs more optimization.
13 94 0.244143161935 Henry Cohn, 2026, needs more optimization.
13 95 0.244232299465 Henry Cohn, 2026, needs more optimization.
13 96 0.244333628164 Henry Cohn, 2026, needs more optimization.
13 97 0.244403643906 Henry Cohn, 2026, needs more optimization.
13 98 0.244475717847 Henry Cohn, 2026, needs more optimization.
13 99 0.246245154878 Henry Cohn, 2026, needs more optimization.
13 100 0.246928094848 Henry Cohn, 2026, needs more optimization.
13 101 0.249341456819 Henry Cohn, 2026, needs more optimization.
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.
13 107 0.257876424884 Henry Cohn, 2026, needs more optimization.
13 108 0.258371794071 Henry Cohn, 2026, needs more optimization.
13 109 0.258970157362 Henry Cohn, 2026, needs more optimization.
13 110 0.259444645244 Henry Cohn, 2026, needs more optimization.
13 111 0.259780906598 Henry Cohn, 2026, needs more optimization.
13 112 0.261426220714 Henry Cohn, 2026, needs more optimization.
13 113 0.263325539437 Henry Cohn, 2026, needs more optimization.
13 114 0.263583199200 Henry Cohn, 2026, needs more optimization.
13 115 0.264241092180 Henry Cohn, 2026, needs more optimization.
13 116 0.266807071362 Henry Cohn, 2026, needs more optimization.
13 117 0.270008910898 Henry Cohn, 2026, needs more optimization.
13 118 0.271259583043 Henry Cohn, 2026, needs more optimization.
13 119 0.271262788723 Henry Cohn, 2026, needs more optimization.
13 120 0.271264078760 Henry Cohn, 2026, needs more optimization.
13 121 0.272598794478 Henry Cohn, 2026, needs more optimization.
13 122 0.274047673742 Henry Cohn, 2026, needs more optimization.
13 123 0.274907064538 Henry Cohn, 2026, needs more optimization.
13 124 0.275841579023 Henry Cohn, 2026, needs more optimization.
13 125 0.276039665457 Henry Cohn, 2026, needs more optimization.
13 126 0.277980964213 Henry Cohn, 2026, needs more optimization.
13 127 0.279713983313 Henry Cohn, 2026, needs more optimization.
13 128 0.281346255539 Henry Cohn, 2026, needs more optimization.
13 129 0.283886364313 Henry Cohn, 2026, needs more optimization.
13 130 0.284588839591 Henry Cohn, 2026, needs more optimization.
13 131 0.286727890433 Henry Cohn, 2026, needs more optimization.
13 132 0.287425500778 Henry Cohn, 2026, needs more optimization.
13 133 0.287809881589 Henry Cohn, 2026, needs more optimization.
13 134 0.288952419120 Henry Cohn, 2026, needs more optimization.
13 135 0.289393478893 Henry Cohn, 2026, needs more optimization.
13 136 0.291030670376 Henry Cohn, 2026, needs more optimization.
13 137 0.292467650597 Henry Cohn, 2026, needs more optimization.
13 138 0.294583259081 Henry Cohn, 2026, needs more optimization.
13 139 0.296161122025 Henry Cohn, 2026, needs more optimization.
13 140 0.296838682575 Henry Cohn, 2026, needs more optimization.
13 141 0.297530393765 Henry Cohn, 2026, needs more optimization.
13 142 0.297532510834 Henry Cohn, 2026, needs more optimization.
13 143 0.297669979454 Henry Cohn, 2026, needs more optimization.
13 144 0.299293332494 Henry Cohn, 2026, needs more optimization.
13 145 0.300763460201 Henry Cohn, 2026, needs more optimization.
13 146 0.300803660975 Henry Cohn, 2026, needs more optimization.
13 147 0.300833587296 Henry Cohn, 2026, needs more optimization.
13 148 0.300835851108 Henry Cohn, 2026, needs more optimization.
13 149 0.300899089502 Henry Cohn, 2026, needs more optimization.
13 150 0.300977858076 Henry Cohn, 2026, needs more optimization.
13 151 0.301155400564 Henry Cohn, 2026, needs more optimization.
13 152 0.302321193361 Henry Cohn, 2026, needs more optimization.
13 153 0.304974621042 Henry Cohn, 2026, needs more optimization.
13 154 0.306302349494 Henry Cohn, 2026, needs more optimization.
13 155 0.307516584950 Henry Cohn, 2026, needs more optimization.
13 156 0.308514835915 Henry Cohn, 2026, needs more optimization.
13 157 0.309423415048 Henry Cohn, 2026, needs more optimization.
13 158 0.310599036183 Henry Cohn, 2026, needs more optimization.
13 159 0.311409127223 Henry Cohn, 2026, needs more optimization.
13 160 0.311847196740 Henry Cohn, 2026, needs more optimization.
13 161 0.312525578737 Henry Cohn, 2026, needs more optimization.
13 162 0.313684323701 Henry Cohn, 2026, needs more optimization.
13 163 0.314512879833 Henry Cohn, 2026, needs more optimization.
13 164 0.315557144324 Henry Cohn, 2026, needs more optimization.
13 165 0.315905742491 Henry Cohn, 2026, needs more optimization.
13 166 0.316297924531 Henry Cohn, 2026, needs more optimization.
13 167 0.317161998051 Henry Cohn, 2026, needs more optimization.
13 168 0.317685191539 Henry Cohn, 2026, needs more optimization.
13 169 0.318109617292 Henry Cohn, 2026, needs more optimization.
13 170 0.319126636823 Henry Cohn, 2026, needs more optimization.
13 171 0.319630689470 Henry Cohn, 2026, needs more optimization.
13 172 0.319861133867 Henry Cohn, 2026, needs more optimization.
13 173 0.320596889411 Henry Cohn, 2026, needs more optimization.
13 174 0.320600777289 Henry Cohn, 2026, needs more optimization.
13 175 0.320883020708 Henry Cohn, 2026, needs more optimization.
13 176 0.321170807103 Henry Cohn, 2026, needs more optimization.
13 177 0.321752663949 Henry Cohn, 2026, needs more optimization.
13 178 0.322275406548 Henry Cohn, 2026, needs more optimization.
13 179 0.322685518967 Henry Cohn, 2026, needs more optimization.
13 180 0.323177803335 Henry Cohn, 2026, needs more optimization.
13 181 0.323555451521 Henry Cohn, 2026, needs more optimization.
13 182 0.324060683423 Henry Cohn, 2026, needs more optimization.
13 183 0.324674728348 Henry Cohn, 2026, needs more optimization.
13 184 0.324845204658 Henry Cohn, 2026, needs more optimization.
13 185 0.325422936514 Henry Cohn, 2026, needs more optimization.
13 186 0.326220945626 Henry Cohn, 2026, needs more optimization.
13 187 0.326420264628 Henry Cohn, 2026, needs more optimization.
13 188 0.326750205934 Henry Cohn, 2026, needs more optimization.
13 189 0.326983127888 Henry Cohn, 2026, needs more optimization.
13 190 0.327311157083 Henry Cohn, 2026, needs more optimization.
13 191 0.327713887389 Henry Cohn, 2026, needs more optimization.
13 192 0.328096808965 Henry Cohn, 2026, needs more optimization.
13 193 0.328113341838 Henry Cohn, 2026, needs more optimization.
13 194 0.328300601175 Henry Cohn, 2026, needs more optimization.
13 195 0.328491227078 Henry Cohn, 2026, needs more optimization.
13 196 0.328736221277 Henry Cohn, 2026, needs more optimization.
13 197 0.328875796483 Henry Cohn, 2026, needs more optimization.
13 198 0.329029991272 Henry Cohn, 2026, needs more optimization.
13 199 0.329143730211 Henry Cohn, 2026, needs more optimization.
13 200 0.329342398496 Henry Cohn, 2026, needs more optimization.
13 201 0.329522676576 Henry Cohn, 2026, needs more optimization.
13 202 0.329690749783 Henry Cohn, 2026, needs more optimization.
13 203 0.332320838939 Henry Cohn, 2026, needs more optimization.
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 0.350454981791 Henry Cohn, 2026, needs more optimization.
13 210 0.351580063407 Henry Cohn, 2026, needs more optimization.
13 211 0.352249768809 Henry Cohn, 2026, needs more optimization.
13 212 0.352778178967 Henry Cohn, 2026, needs more optimization.
13 213 0.353908968891 Henry Cohn, 2026, needs more optimization.
13 214 0.354466062748 Henry Cohn, 2026, needs more optimization.
13 215 0.355369398554 Henry Cohn, 2026, needs more optimization.
13 216 0.355724885419 Henry Cohn, 2026, needs more optimization.
13 217 0.356435440078 Henry Cohn, 2026, needs more optimization.
13 218 0.357592618572 Henry Cohn, 2026, needs more optimization.
13 219 0.358097921751 Henry Cohn, 2026, needs more optimization.
13 220 0.358852636145 Henry Cohn, 2026, needs more optimization.
13 221 0.359893497223 Henry Cohn, 2026, needs more optimization.
13 222 0.360500923142 Henry Cohn, 2026, needs more optimization.
13 223 0.361604733877 Henry Cohn, 2026, needs more optimization.
13 224 0.362377899749 Henry Cohn, 2026, needs more optimization.
13 225 0.363360940064 Henry Cohn, 2026, needs more optimization.
13 226 0.364025150140 Henry Cohn, 2026, needs more optimization.
13 227 0.364774605012 Henry Cohn, 2026, needs more optimization.
13 228 0.365434943661 Henry Cohn, 2026, needs more optimization.
13 229 0.366367041513 Henry Cohn, 2026, needs more optimization.
13 230 0.366888670746 Henry Cohn, 2026, needs more optimization.
13 231 0.367686451129 Henry Cohn, 2026, needs more optimization.
13 232 0.368704840032 Henry Cohn, 2026, needs more optimization.
13 233 0.369233038656 Henry Cohn, 2026, needs more optimization.
13 234 0.369992288088 Henry Cohn, 2026, needs more optimization.
13 235 0.371065292340 Henry Cohn, 2026, needs more optimization.
13 236 0.371367533272 Henry Cohn, 2026, needs more optimization.
13 237 0.372099751670 Henry Cohn, 2026, needs more optimization.
13 238 0.372912044422 Henry Cohn, 2026, needs more optimization.
13 239 0.373572070875 Henry Cohn, 2026, needs more optimization.
13 240 0.374220159380 Henry Cohn, 2026, needs more optimization.
13 241 0.374809539528 Henry Cohn, 2026, needs more optimization.
13 242 0.375602005881 Henry Cohn, 2026, needs more optimization.
13 243 0.376259645163 Henry Cohn, 2026, needs more optimization.
13 244 0.376708619008 Henry Cohn, 2026, needs more optimization.
13 245 0.377633413916 Henry Cohn, 2026, needs more optimization.
13 246 0.378272246990 Henry Cohn, 2026, needs more optimization.
13 247 0.378820680104 Henry Cohn, 2026, needs more optimization.
13 248 0.379276103073 Henry Cohn, 2026, needs more optimization.
13 249 0.380069447711 Henry Cohn, 2026, needs more optimization.
13 250 0.380763937318 Henry Cohn, 2026, needs more optimization.
13 251 0.381485001645 Henry Cohn, 2026, needs more optimization.
13 252 0.381924730420 Henry Cohn, 2026, needs more optimization.
13 266 0.382352941177 Henry Cohn, 2026.
34⁢x−13
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 0.389819204063 Henry Cohn, 2026, needs more optimization.
13 315 0.391822347068 Henry Cohn, 2026, needs more optimization.
13 316 0.395717262179 Henry Cohn, 2026, needs more optimization.
13 317 0.397923569718 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
13 338 0.400301110528 Henry Cohn, 2026, needs more optimization.
13 339 0.402099203093 Henry Cohn, 2026, needs more optimization.
13 340 0.406061867417 Henry Cohn, 2026, needs more optimization.
13 341 0.407423810724 Henry Cohn, 2026, needs more optimization.
13 342 0.407703656995 Henry Cohn, 2026, needs more optimization.
13 343 0.407825681528 Henry Cohn, 2026, needs more optimization.
13 344 0.408195385980 Henry Cohn, 2026, needs more optimization.
13 345 0.408408932412 Henry Cohn, 2026, needs more optimization.
13 346 0.408777492846 Henry Cohn, 2026, needs more optimization.
13 347 0.409580547322 Henry Cohn, 2026, needs more optimization.
13 348 0.410348722341 Henry Cohn, 2026, needs more optimization.
13 349 0.411014670149 Henry Cohn, 2026, needs more optimization.
13 350 0.411506304684 Henry Cohn, 2026, needs more optimization.
13 351 0.412105531218 Henry Cohn, 2026, needs more optimization.
13 352 0.412736950953 Henry Cohn, 2026, needs more optimization.
13 353 0.413428264366 Henry Cohn, 2026, needs more optimization.
13 354 0.414037312514 Henry Cohn, 2026, needs more optimization.
13 355 0.414614961745 Henry Cohn, 2026, needs more optimization.
13 356 0.414986896686 Henry Cohn, 2026, needs more optimization.
13 357 0.415240925630 Henry Cohn, 2026, needs more optimization.
13 358 0.415704930392 Henry Cohn, 2026, needs more optimization.
13 359 0.416146063222 Henry Cohn, 2026, needs more optimization.
13 383 0.416666666667 Henry Cohn, 2026.
12⁢x−5
13 384 0.419653787115 Henry Cohn, 2026, needs more optimization.
13 385 0.420795578571 Henry Cohn, 2026, needs more optimization.
13 386 0.421222091492 Henry Cohn, 2026, needs more optimization.
13 387 0.422562588408 Henry Cohn, 2026, needs more optimization.
13 388 0.423113898406 Henry Cohn, 2026, needs more optimization.
13 389 0.423847019679 Henry Cohn, 2026, needs more optimization.
13 390 0.424434750946 Henry Cohn, 2026, needs more optimization.
13 391 0.424761464659 Henry Cohn, 2026, needs more optimization.
13 392 0.425257273115 Henry Cohn, 2026, needs more optimization.
13 393 0.426009199920 Henry Cohn, 2026, needs more optimization.
13 394 0.426567914670 Henry Cohn, 2026, needs more optimization.
13 395 0.427261103532 Henry Cohn, 2026, needs more optimization.
13 396 0.428424030958 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 0.428809542267 Henry Cohn, 2026, needs more optimization.
13 500 0.429498182135 Henry Cohn, 2026, needs more optimization.
13 501 0.429605291147 Henry Cohn, 2026, needs more optimization.
13 502 0.429678461102 Henry Cohn, 2026, needs more optimization.
13 503 0.429685443660 Henry Cohn, 2026, needs more optimization.
13 504 0.429714303458 Henry Cohn, 2026, needs more optimization.
13 505 0.436918393372 Henry Cohn, 2026, needs more optimization.
13 506 0.439542321451 Henry Cohn, 2026, needs more optimization.
13 507 0.441392414318 Henry Cohn, 2026, needs more optimization.
13 508 0.443039850403 Henry Cohn, 2026, needs more optimization.
13 509 0.443261347892 Henry Cohn, 2026, needs more optimization.
13 510 0.443743216972 Henry Cohn, 2026, needs more optimization.
13 511 0.443755040381 Henry Cohn, 2026, needs more optimization.
13 512 0.444842783684 Henry Cohn, 2026, needs more optimization.
13 513 0.445184801058 Henry Cohn, 2026, needs more optimization.
13 514 0.445752414421 Henry Cohn, 2026, needs more optimization.
13 515 0.445754422827 Henry Cohn, 2026, needs more optimization.
13 516 0.446193534045 Henry Cohn, 2026, needs more optimization.
13 517 0.446607358355 Henry Cohn, 2026, needs more optimization.
13 518 0.446608697953 Henry Cohn, 2026, needs more optimization.
13 519 0.446617114921 Henry Cohn, 2026, needs more optimization.
13 520 0.446618375048 Henry Cohn, 2026, needs more optimization.
13 521 0.447136863522 Henry Cohn, 2026, needs more optimization.
13 522 0.447231191469 Henry Cohn, 2026, needs more optimization.
13 523 0.447266161995 Henry Cohn, 2026, needs more optimization.
13 524 0.447266999284 Henry Cohn, 2026, needs more optimization.
13 525 0.447270667058 Henry Cohn, 2026, needs more optimization.
13 526 0.447273243852 Henry Cohn, 2026, needs more optimization.
13 528 0.447299749018 Henry Cohn, 2026, needs more optimization.
13 529 0.447445192657 Henry Cohn, 2026, needs more optimization.
13 530 0.447542806350 Henry Cohn, 2026, needs more optimization.
13 531 0.447578449290 Henry Cohn, 2026, needs more optimization.
13 532 0.447715161361 Henry Cohn, 2026, needs more optimization.
13 533 0.447720514037 Henry Cohn, 2026, needs more optimization.
13 534 0.447832277677 Henry Cohn, 2026, needs more optimization.
13 535 0.448055815227 Henry Cohn, 2026, needs more optimization.
13 536 0.448238859190 Henry Cohn, 2026, needs more optimization.
13 537 0.448513012060 Henry Cohn, 2026, needs more optimization.
13 538 0.448614263037 Henry Cohn, 2026, needs more optimization.
13 539 0.448896396505 Henry Cohn, 2026, needs more optimization.
13 540 0.449278881911 Henry Cohn, 2026, needs more optimization.
13 541 0.449422817196 Henry Cohn, 2026, needs more optimization.
13 542 0.449519234420 Henry Cohn, 2026, needs more optimization.
13 543 0.449875068920 Henry Cohn, 2026, needs more optimization.
13 545 0.449882911497 Henry Cohn, 2026, needs more optimization.
13 546 0.449935751741 Henry Cohn, 2026, needs more optimization.
13 547 0.450495049745 Henry Cohn, 2026, needs more optimization.
13 548 0.450837447275 Henry Cohn, 2026, needs more optimization.
13 549 0.450839936788 Henry Cohn, 2026, needs more optimization.
13 551 0.450905341835 Henry Cohn, 2026, needs more optimization.
13 552 0.450962943715 Henry Cohn, 2026, needs more optimization.
13 553 0.451241859440 Henry Cohn, 2026, needs more optimization.
13 554 0.451519520992 Henry Cohn, 2026, needs more optimization.
13 555 0.451752238371 Henry Cohn, 2026, needs more optimization.
13 556 0.451902530443 Henry Cohn, 2026, needs more optimization.
13 557 0.452021295697 Henry Cohn, 2026, needs more optimization.
13 558 0.452273587002 Henry Cohn, 2026, needs more optimization.
13 559 0.452623814777 Henry Cohn, 2026, needs more optimization.
13 560 0.453004411557 Henry Cohn, 2026, needs more optimization.
13 561 0.453314127829 Henry Cohn, 2026, needs more optimization.
13 562 0.453493608778 Henry Cohn, 2026, needs more optimization.
13 563 0.453984126071 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
13 579 0.459812043185 Henry Cohn, 2026, needs more optimization.
13 580 0.460955311266 Henry Cohn, 2026, needs more optimization.
13 581 0.461747305967 Henry Cohn, 2026, needs more optimization.
13 582 0.462475698169 Henry Cohn, 2026, needs more optimization.
13 583 0.463040194319 Henry Cohn, 2026, needs more optimization.
13 584 0.463604216313 Henry Cohn, 2026, needs more optimization.
13 585 0.463943771238 Henry Cohn, 2026, needs more optimization.
13 586 0.464105210604 Henry Cohn, 2026, needs more optimization.
13 587 0.464238531603 Henry Cohn, 2026, needs more optimization.
13 588 0.464333182431 Henry Cohn, 2026, needs more optimization.
13 589 0.464660450601 Henry Cohn, 2026, needs more optimization.
13 590 0.464749961885 Henry Cohn, 2026, needs more optimization.
13 591 0.465004515152 Henry Cohn, 2026, needs more optimization.
13 592 0.465095105050 Henry Cohn, 2026, needs more optimization.
13 593 0.465127358035 Henry Cohn, 2026, needs more optimization.
13 594 0.465413796698 Henry Cohn, 2026, needs more optimization.
13 595 0.465510674080 Henry Cohn, 2026, needs more optimization.
13 596 0.465594255395 Henry Cohn, 2026, needs more optimization.
13 597 0.465715010110 Henry Cohn, 2026, needs more optimization.
13 598 0.465850913070 Henry Cohn, 2026, needs more optimization.
13 599 0.465902464525 Henry Cohn, 2026, needs more optimization.
13 600 0.466021678082 Henry Cohn, 2026, needs more optimization.
13 601 0.466136127022 Henry Cohn, 2026, needs more optimization.
13 602 0.466227933849 Henry Cohn, 2026, needs more optimization.
13 603 0.466263566640 Henry Cohn, 2026, needs more optimization.
13 604 0.466283398483 Henry Cohn, 2026, needs more optimization.
13 605 0.466375353342 Henry Cohn, 2026, needs more optimization.
13 606 0.466442781939 Henry Cohn, 2026, needs more optimization.
13 607 0.466449367235 Henry Cohn, 2026, needs more optimization.
13 608 0.466519510190 Henry Cohn, 2026, needs more optimization.
13 610 0.466542783235 Henry Cohn, 2026, needs more optimization.
13 611 0.466552648554 Henry Cohn, 2026, needs more optimization.
13 612 0.466563609021 Henry Cohn, 2026, needs more optimization.
13 613 0.466633495807 Henry Cohn, 2026, needs more optimization.
13 614 0.466718898630 Henry Cohn, 2026, needs more optimization.
13 615 0.466843414719 Henry Cohn, 2026, needs more optimization.
13 617 0.466913446183 Henry Cohn, 2026, needs more optimization.
13 618 0.467043579897 Henry Cohn, 2026, needs more optimization.
13 619 0.467066333200 Henry Cohn, 2026, needs more optimization.
13 620 0.467143730101 Henry Cohn, 2026, needs more optimization.
13 621 0.467180678743 Henry Cohn, 2026, needs more optimization.
13 622 0.467211902397 Henry Cohn, 2026, needs more optimization.
13 623 0.467288454186 Henry Cohn, 2026, needs more optimization.
13 624 0.467303926504 Henry Cohn, 2026, needs more optimization.
13 625 0.467341349254 Henry Cohn, 2026, needs more optimization.
13 626 0.467368877674 Henry Cohn, 2026, needs more optimization.
13 627 0.467466058233 Henry Cohn, 2026, needs more optimization.
13 628 0.467543002433 Henry Cohn, 2026, needs more optimization.
13 629 0.467681966548 Henry Cohn, 2026, needs more optimization.
13 630 0.467694431405 Henry Cohn, 2026, needs more optimization.
13 631 0.469225200505 Henry Cohn, 2026, needs more optimization.
13 632 0.469487118588 Henry Cohn, 2026, needs more optimization.
13 633 0.470316826439 Henry Cohn, 2026, needs more optimization.
13 634 0.470987327961 Henry Cohn, 2026, needs more optimization.
13 635 0.471596898492 Henry Cohn, 2026, needs more optimization.
13 636 0.472072054682 Henry Cohn, 2026, needs more optimization.
13 637 0.472525868779 Henry Cohn, 2026, needs more optimization.
13 638 0.473157183057 Henry Cohn, 2026, needs more optimization.
13 639 0.473604221491 Henry Cohn, 2026, needs more optimization.
13 640 0.474115417788 Henry Cohn, 2026, needs more optimization.
13 641 0.474365898033 Henry Cohn, 2026, needs more optimization.
13 642 0.474909818721 Henry Cohn, 2026, needs more optimization.
13 644 0.475 Henry Cohn, 2026.
40⁢x−19
13 645 0.476048187567 Henry Cohn, 2026, needs more optimization.
13 646 0.476929796613 Henry Cohn, 2026, needs more optimization.
13 647 0.477167322555 Henry Cohn, 2026, needs more optimization.
13 648 0.477626549827 Henry Cohn, 2026, needs more optimization.
13 649 0.478021644041 Henry Cohn, 2026, needs more optimization.
13 650 0.478241435718 Henry Cohn, 2026, needs more optimization.
13 651 0.478599831450 Henry Cohn, 2026, needs more optimization.
13 652 0.478856464367 Henry Cohn, 2026, needs more optimization.
13 653 0.479032297831 Henry Cohn, 2026, needs more optimization.
13 654 0.479035728245 Henry Cohn, 2026, needs more optimization.
13 655 0.479160896707 Henry Cohn, 2026, needs more optimization.
13 656 0.479310713758 Henry Cohn, 2026, needs more optimization.
13 657 0.479475196340 Henry Cohn, 2026, needs more optimization.
13 658 0.479618807448 Henry Cohn, 2026, needs more optimization.
13 659 0.479713861822 Henry Cohn, 2026, needs more optimization.
13 660 0.479815403145 Henry Cohn, 2026, needs more optimization.
13 661 0.480022201079 Henry Cohn, 2026, needs more optimization.
13 662 0.480117691255 Henry Cohn, 2026, needs more optimization.
13 663 0.480243161513 Henry Cohn, 2026, needs more optimization.
13 664 0.480321237419 Henry Cohn, 2026, needs more optimization.
13 665 0.480512375891 Henry Cohn, 2026, needs more optimization.
13 666 0.480683282660 Henry Cohn, 2026, needs more optimization.
13 667 0.480720931419 Henry Cohn, 2026, needs more optimization.
13 668 0.480815902346 Henry Cohn, 2026, needs more optimization.
13 669 0.480849028199 Henry Cohn, 2026, needs more optimization.
13 670 0.480878840707 Henry Cohn, 2026, needs more optimization.
13 671 0.480933408970 Henry Cohn, 2026, needs more optimization.
13 672 0.481076171100 Henry Cohn, 2026, needs more optimization.
13 673 0.481176863470 Henry Cohn, 2026, needs more optimization.
13 674 0.481282866769 Henry Cohn, 2026, needs more optimization.
13 675 0.481428156318 Henry Cohn, 2026, needs more optimization.
13 676 0.481629476577 Henry Cohn, 2026, needs more optimization.
13 677 0.481658662406 Henry Cohn, 2026, needs more optimization.
13 678 0.481832736608 Henry Cohn, 2026, needs more optimization.
13 679 0.482066881776 Henry Cohn, 2026, needs more optimization.
13 680 0.482148706450 Henry Cohn, 2026, needs more optimization.
13 681 0.482163098858 Henry Cohn, 2026, needs more optimization.
13 682 0.482336057218 Henry Cohn, 2026, needs more optimization.
13 684 0.482466641390 Henry Cohn, 2026, needs more optimization.
13 685 0.482503064611 Henry Cohn, 2026, needs more optimization.
13 686 0.482662844436 Henry Cohn, 2026, needs more optimization.
13 687 0.482669208245 Henry Cohn, 2026, needs more optimization.
13 688 0.482773346406 Henry Cohn, 2026, needs more optimization.
13 689 0.482841967121 Henry Cohn, 2026, needs more optimization.
13 691 0.482882954026 Henry Cohn, 2026, needs more optimization.
13 692 0.482953024280 Henry Cohn, 2026, needs more optimization.
13 693 0.483031972103 Henry Cohn, 2026, needs more optimization.
13 694 0.483157086450 Henry Cohn, 2026, needs more optimization.
13 695 0.483320451593 Henry Cohn, 2026, needs more optimization.
13 696 0.483444006087 Henry Cohn, 2026, needs more optimization.
13 697 0.483547030535 Henry Cohn, 2026, needs more optimization.
13 698 0.483808619768 Henry Cohn, 2026, needs more optimization.
13 699 0.483933312994 Henry Cohn, 2026, needs more optimization.
13 700 0.484014056050 Henry Cohn, 2026, needs more optimization.
13 701 0.484235071874 Henry Cohn, 2026, needs more optimization.
13 702 0.484260114094 Henry Cohn, 2026, needs more optimization.
13 703 0.484297298607 Henry Cohn, 2026, needs more optimization.
13 704 0.484310122585 Henry Cohn, 2026, needs more optimization.
13 705 0.484337975670 Henry Cohn, 2026, needs more optimization.
13 706 0.484380290619 Henry Cohn, 2026, needs more optimization.
13 707 0.484494638871 Henry Cohn, 2026, needs more optimization.
13 708 0.484587200039 Henry Cohn, 2026, needs more optimization.
13 709 0.484694718509 Henry Cohn, 2026, needs more optimization.
13 710 0.484756005086 Henry Cohn, 2026, needs more optimization.
13 711 0.484946292941 Henry Cohn, 2026, needs more optimization.
13 712 0.484951738236 Henry Cohn, 2026, needs more optimization.
13 713 0.484973309371 Henry Cohn, 2026, needs more optimization.
13 714 0.485003421282 Henry Cohn, 2026, needs more optimization.
13 715 0.485088341135 Henry Cohn, 2026, needs more optimization.
13 716 0.485132741922 Henry Cohn, 2026, needs more optimization.
13 717 0.485148118997 Henry Cohn, 2026, needs more optimization.
13 718 0.485177970212 Henry Cohn, 2026, needs more optimization.
13 719 0.485240454932 Henry Cohn, 2026, needs more optimization.
13 720 0.485270596976 Henry Cohn, 2026, needs more optimization.
13 721 0.485310392688 Henry Cohn, 2026, needs more optimization.
13 722 0.485341351063 Henry Cohn, 2026, needs more optimization.
13 723 0.485401297868 Henry Cohn, 2026, needs more optimization.
13 724 0.485450544263 Henry Cohn, 2026, needs more optimization.
13 725 0.485538581121 Henry Cohn, 2026, needs more optimization.
13 727 0.485597349737 Henry Cohn, 2026, needs more optimization.
13 728 0.485671930667 Henry Cohn, 2026, needs more optimization.
13 729 0.485750575034 Henry Cohn, 2026, needs more optimization.
13 730 0.485834763963 Henry Cohn, 2026, needs more optimization.
13 731 0.485836999831 Henry Cohn, 2026, needs more optimization.
13 732 0.485896622500 Henry Cohn, 2026, needs more optimization.
13 733 0.485972349633 Henry Cohn, 2026, needs more optimization.
13 734 0.486030373986 Henry Cohn, 2026, needs more optimization.
13 735 0.486151033981 Henry Cohn, 2026, needs more optimization.
13 736 0.486181223832 Henry Cohn, 2026, needs more optimization.
13 737 0.486253430422 Henry Cohn, 2026, needs more optimization.
13 738 0.486296695795 Henry Cohn, 2026, needs more optimization.
13 739 0.486382061699 Henry Cohn, 2026, needs more optimization.
13 740 0.486387603337 Henry Cohn, 2026, needs more optimization.
13 741 0.486460492754 Henry Cohn, 2026, needs more optimization.
13 742 0.486491043727 Henry Cohn, 2026, needs more optimization.
13 743 0.486535023127 Henry Cohn, 2026, needs more optimization.
13 744 0.486628246293 Henry Cohn, 2026, needs more optimization.
13 745 0.486690225513 Henry Cohn, 2026, needs more optimization.
13 746 0.486725677741 Henry Cohn, 2026, needs more optimization.
13 748 0.486774392999 Henry Cohn, 2026, needs more optimization.
13 749 0.486804376964 Henry Cohn, 2026, needs more optimization.
13 750 0.486885923591 Henry Cohn, 2026, needs more optimization.
13 751 0.486951269284 Henry Cohn, 2026, needs more optimization.
13 752 0.487058129337 Henry Cohn, 2026, needs more optimization.
13 753 0.487156908199 Henry Cohn, 2026, needs more optimization.
13 755 0.487197927137 Henry Cohn, 2026, needs more optimization.
13 756 0.487254654549 Henry Cohn, 2026, needs more optimization.
13 757 0.487305871742 Henry Cohn, 2026, needs more optimization.
13 758 0.487430768249 Henry Cohn, 2026, needs more optimization.
13 759 0.487447004395 Henry Cohn, 2026, needs more optimization.
13 760 0.487501800026 Henry Cohn, 2026, needs more optimization.
13 761 0.487617515278 Henry Cohn, 2026, needs more optimization.
13 762 0.487642215681 Henry Cohn, 2026, needs more optimization.
13 763 0.487702322330 Henry Cohn, 2026, needs more optimization.
13 764 0.487747070564 Henry Cohn, 2026, needs more optimization.
13 765 0.487788946914 Henry Cohn, 2026, needs more optimization.
13 766 0.487826913864 Henry Cohn, 2026, needs more optimization.
13 767 0.487913269636 Henry Cohn, 2026, needs more optimization.
13 768 0.487992157135 Henry Cohn, 2026, needs more optimization.
13 769 0.488009716010 Henry Cohn, 2026, needs more optimization.
13 772 0.488062258248 Henry Cohn, 2026, needs more optimization.
13 774 0.488148478664 Henry Cohn, 2026, needs more optimization.
13 775 0.488217219723 Henry Cohn, 2026, needs more optimization.
13 776 0.488226151812 Henry Cohn, 2026, needs more optimization.
13 777 0.488297849046 Henry Cohn, 2026, needs more optimization.
13 779 0.488391014244 Henry Cohn, 2026, needs more optimization.
13 780 0.488513713729 Henry Cohn, 2026, needs more optimization.
13 781 0.488576786157 Henry Cohn, 2026, needs more optimization.
13 783 0.488611122101 Henry Cohn, 2026, needs more optimization.
13 784 0.488677890627 Henry Cohn, 2026, needs more optimization.
13 786 0.488759888694 Henry Cohn, 2026, needs more optimization.
13 787 0.488783481530 Henry Cohn, 2026, needs more optimization.
13 788 0.488866063906 Henry Cohn, 2026, needs more optimization.
13 789 0.488926697597 Henry Cohn, 2026, needs more optimization.
13 791 0.489116285356 Henry Cohn, 2026, needs more optimization.
13 792 0.489149309483 Henry Cohn, 2026, needs more optimization.
13 793 0.489263722506 Henry Cohn, 2026, needs more optimization.
13 796 0.489319772898 Henry Cohn, 2026, needs more optimization.
13 797 0.489361527523 Henry Cohn, 2026, needs more optimization.
13 798 0.489380433653 Henry Cohn, 2026, needs more optimization.
13 799 0.489448454389 Henry Cohn, 2026, needs more optimization.
13 800 0.489456568051 Henry Cohn, 2026, needs more optimization.
13 802 0.489575594701 Henry Cohn, 2026, needs more optimization.
13 804 0.489596688424 Henry Cohn, 2026, needs more optimization.
13 805 0.489664544922 Henry Cohn, 2026, needs more optimization.
13 806 0.489738206101 Henry Cohn, 2026, needs more optimization.
13 807 0.489764006167 Henry Cohn, 2026, needs more optimization.
13 809 0.489868106072 Henry Cohn, 2026, needs more optimization.
13 810 0.489961094486 Henry Cohn, 2026, needs more optimization.
13 811 0.489967160450 Henry Cohn, 2026, needs more optimization.
13 812 0.490085249637 Henry Cohn, 2026, needs more optimization.
13 813 0.490117792519 Henry Cohn, 2026, needs more optimization.
13 814 0.490174306920 Henry Cohn, 2026, needs more optimization.
13 815 0.490238171579 Henry Cohn, 2026, needs more optimization.
13 816 0.490296490239 Henry Cohn, 2026, needs more optimization.
13 817 0.490327640947 Henry Cohn, 2026, needs more optimization.
13 818 0.490446074942 Henry Cohn, 2026, needs more optimization.
13 819 0.490563842998 Henry Cohn, 2026, needs more optimization.
13 820 0.490730448289 Henry Cohn, 2026, needs more optimization.
13 821 0.490780888935 Henry Cohn, 2026, needs more optimization.
13 822 0.490872135166 Henry Cohn, 2026, needs more optimization.
13 825 0.490915270036 Henry Cohn, 2026, needs more optimization.
13 826 0.490957062736 Henry Cohn, 2026, needs more optimization.
13 827 0.490961191255 Henry Cohn, 2026, needs more optimization.
13 828 0.491067263988 Henry Cohn, 2026, needs more optimization.
13 829 0.491205439294 Henry Cohn, 2026, needs more optimization.
13 831 0.491289785981 Henry Cohn, 2026, needs more optimization.
13 832 0.491360131789 Henry Cohn, 2026, needs more optimization.
13 833 0.491443031746 Henry Cohn, 2026, needs more optimization.
13 834 0.491497558698 Henry Cohn, 2026, needs more optimization.
13 837 0.491546259657 Henry Cohn, 2026, needs more optimization.
13 838 0.491632506939 Henry Cohn, 2026, needs more optimization.
13 839 0.491677171148 Henry Cohn, 2026, needs more optimization.
13 840 0.491698455559 Henry Cohn, 2026, needs more optimization.
13 841 0.491739794181 Henry Cohn, 2026, needs more optimization.
13 842 0.491760965124 Henry Cohn, 2026, needs more optimization.
13 843 0.491954382228 Henry Cohn, 2026, needs more optimization.
13 844 0.492049255492 Henry Cohn, 2026, needs more optimization.
13 845 0.492086139940 Henry Cohn, 2026, needs more optimization.
13 846 0.492114851230 Henry Cohn, 2026, needs more optimization.
13 847 0.492200081138 Henry Cohn, 2026, needs more optimization.
13 848 0.492306061151 Henry Cohn, 2026, needs more optimization.
13 849 0.492441872968 Henry Cohn, 2026, needs more optimization.
13 850 0.492647929980 Henry Cohn, 2026, needs more optimization.
13 851 0.492757616146 Henry Cohn, 2026, needs more optimization.
13 852 0.492840231845 Henry Cohn, 2026, needs more optimization.
13 853 0.492957230893 Henry Cohn, 2026, needs more optimization.
13 854 0.493100941983 Henry Cohn, 2026, needs more optimization.
13 855 0.493227792878 Henry Cohn, 2026, needs more optimization.
13 856 0.493468205108 Henry Cohn, 2026, needs more optimization.
13 857 0.493612896991 Henry Cohn, 2026, needs more optimization.
13 858 0.493771442227 Henry Cohn, 2026, needs more optimization.
13 859 0.493927384451 Henry Cohn, 2026, needs more optimization.
13 860 0.493927385687 Henry Cohn, 2026, needs more optimization.
13 861 0.494230835637 Henry Cohn, 2026, needs more optimization.
13 862 0.494418176570 Henry Cohn, 2026, needs more optimization.
13 863 0.494464992845 Henry Cohn, 2026, needs more optimization.
13 864 0.494552283290 Henry Cohn, 2026, needs more optimization.
13 865 0.494790013420 Henry Cohn, 2026, needs more optimization.
13 866 0.494909571458 Henry Cohn, 2026, needs more optimization.
13 867 0.495064266673 Henry Cohn, 2026, needs more optimization.
13 868 0.495209542778 Henry Cohn, 2026, needs more optimization.
13 869 0.495393688144 Henry Cohn, 2026, needs more optimization.
13 870 0.495638490956 Henry Cohn, 2026, needs more optimization.
13 871 0.495821323123 Henry Cohn, 2026, needs more optimization.
13 872 0.495900918209 Henry Cohn, 2026, needs more optimization.
13 873 0.496037163792 Henry Cohn, 2026, needs more optimization.
13 874 0.496108434695 Henry Cohn, 2026, needs more optimization.
13 875 0.496260910751 Henry Cohn, 2026, needs more optimization.
13 876 0.496336998937 Henry Cohn, 2026, needs more optimization.
13 877 0.496469730125 Henry Cohn, 2026, needs more optimization.
13 878 0.496586763443 Henry Cohn, 2026, needs more optimization.
13 879 0.496873926957 Henry Cohn, 2026, needs more optimization.
13 880 0.496967136016 Henry Cohn, 2026, needs more optimization.
13 881 0.497091685401 Henry Cohn, 2026, needs more optimization.
13 882 0.497364954129 Henry Cohn, 2026, needs more optimization.
13 883 0.497588769149 Henry Cohn, 2026, needs more optimization.
13 884 0.497827245711 Henry Cohn, 2026, needs more optimization.
13 885 0.498121700034 Henry Cohn, 2026, needs more optimization.
13 886 0.498293390807 Henry Cohn, 2026, needs more optimization.
13 887 0.498551163577 Henry Cohn, 2026, needs more optimization.
13 888 0.498803016890 Henry Cohn, 2026, needs more optimization.
13 889 0.498873393284 Henry Cohn, 2026, needs more optimization.
13 890 0.499108462515 Henry Cohn, 2026, needs more optimization.
13 891 0.499310172422 Henry Cohn, 2026, needs more optimization.
13 892 0.499470238455 Henry Cohn, 2026, needs more optimization.
13 893 0.499773008850 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 0.127206627186 Henry Cohn, 2025.
14 54 0.135105967369 Henry Cohn, 2024.
14 55 0.136745922263 Henry Cohn, 2023.
14 56 0.139995758129 Henry Cohn, 2024.
14 57 0.142106619426 Henry Cohn, 2025.
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 0.184667025692 Henry Cohn, 2026, needs more optimization.
14 75 0.185110498562 Henry Cohn, 2026.
14 76 0.189883320249 Henry Cohn, 2026, needs more optimization.
14 77 0.190266040190 Henry Cohn, 2026, needs more optimization.
14 78 0.191437510213 Henry Cohn, 2026, needs more optimization.
14 79 0.193295826526 Henry Cohn, 2026, needs more optimization.
14 80 0.195567887108 Henry Cohn, 2026, needs more optimization.
14 81 0.198107314376 Henry Cohn, 2026, needs more optimization.
14 82 0.198235129158 Henry Cohn, 2026, needs more optimization.
14 83 0.198270171611 Henry Cohn, 2026, needs more optimization.
14 84 0.198299756820 Henry Cohn, 2026, needs more optimization.
14 85 0.198385443669 Henry Cohn, 2026, needs more optimization.
14 86 0.198455621150 Henry Cohn, 2026, needs more optimization.
14 87 0.198500455261 Henry Cohn, 2026, needs more optimization.
14 88 0.198573144765 Henry Cohn, 2026, needs more optimization.
14 89 0.198677096726 Henry Cohn, 2026, needs more optimization.
14 90 0.198771632430 Henry Cohn, 2026, needs more optimization.
14 91 0.198843416030 Henry Cohn, 2026, needs more optimization.
14 92 0.208456809641 Henry Cohn, 2026, needs more optimization.
14 93 0.211749206685 Henry Cohn, 2026, needs more optimization.
14 94 0.211903259023 Henry Cohn, 2026, needs more optimization.
14 95 0.212184025107 Henry Cohn, 2026, needs more optimization.
14 96 0.212295215604 Henry Cohn, 2026, needs more optimization.
14 97 0.212297015495 Henry Cohn, 2026, needs more optimization.
14 98 0.212297015496 Henry Cohn, 2026, needs more optimization.
14 99 0.220526935097 Henry Cohn, 2026, needs more optimization.
14 100 0.223682381813 Henry Cohn, 2026, needs more optimization.
14 101 0.225613148985 Henry Cohn, 2026, needs more optimization.
14 102 0.228290445901 Henry Cohn, 2026, needs more optimization.
14 112 0.229910395528 Henry Cohn, 2026.
14 113 0.234902627893 Henry Cohn, 2026, needs more optimization.
14 114 0.237359837687 Henry Cohn, 2026, needs more optimization.
14 115 0.239305162774 Henry Cohn, 2026, needs more optimization.
14 116 0.240927683446 Henry Cohn, 2026, needs more optimization.
14 117 0.242363536881 Henry Cohn, 2026, needs more optimization.
14 118 0.244005874203 Henry Cohn, 2026, needs more optimization.
14 119 0.244891424842 Henry Cohn, 2026, needs more optimization.
14 120 0.245340349030 Henry Cohn, 2026, needs more optimization.
14 121 0.245811136405 Henry Cohn, 2026, needs more optimization.
14 122 0.249217889356 Henry Cohn, 2026, needs more optimization.
14 123 0.250352159837 Henry Cohn, 2026, needs more optimization.
14 124 0.251242938893 Henry Cohn, 2026, needs more optimization.
14 125 0.252284925644 Henry Cohn, 2026, needs more optimization.
14 126 0.253277127558 Henry Cohn, 2026, needs more optimization.
14 127 0.254058651002 Henry Cohn, 2026, needs more optimization.
14 128 0.254656731743 Henry Cohn, 2026, needs more optimization.
14 129 0.255353344739 Henry Cohn, 2026, needs more optimization.
14 130 0.256000323296 Henry Cohn, 2026, needs more optimization.
14 131 0.258382739285 Henry Cohn, 2026, needs more optimization.
14 132 0.261625264451 Henry Cohn, 2026, needs more optimization.
14 133 0.262928314390 Henry Cohn, 2026, needs more optimization.
14 134 0.264469963236 Henry Cohn, 2026, needs more optimization.
14 135 0.265740345783 Henry Cohn, 2026, needs more optimization.
14 136 0.266894239560 Henry Cohn, 2026, needs more optimization.
14 137 0.268289839241 Henry Cohn, 2026, needs more optimization.
14 138 0.269360778121 Henry Cohn, 2026, needs more optimization.
14 139 0.269360778123 Henry Cohn, 2026, needs more optimization.
14 140 0.269363487453 Henry Cohn, 2026, needs more optimization.
14 141 0.269364653587 Henry Cohn, 2026, needs more optimization.
14 142 0.269374502321 Henry Cohn, 2026, needs more optimization.
14 143 0.269376035718 Henry Cohn, 2026, needs more optimization.
14 144 0.269378581522 Henry Cohn, 2026, needs more optimization.
14 145 0.269385057223 Henry Cohn, 2026, needs more optimization.
14 146 0.269391352219 Henry Cohn, 2026, needs more optimization.
14 147 0.269406350518 Henry Cohn, 2026, needs more optimization.
14 148 0.269435946677 Henry Cohn, 2026, needs more optimization.
14 149 0.269470068873 Henry Cohn, 2026, needs more optimization.
14 150 0.269510167829 Henry Cohn, 2026, needs more optimization.
14 151 0.269752144181 Henry Cohn, 2026, needs more optimization.
14 152 0.269752148231 Henry Cohn, 2026, needs more optimization.
14 153 0.273185531222 Henry Cohn, 2026, needs more optimization.
14 154 0.273861278753 Henry Cohn, 2026.
40⁢x2−3
14 156 0.276328142308 Henry Cohn, 2026, needs more optimization.
14 157 0.276372455325 Henry Cohn, 2026, needs more optimization.
14 158 0.276419044697 Henry Cohn, 2026, needs more optimization.
14 159 0.276645025935 Henry Cohn, 2026, needs more optimization.
14 160 0.277045384070 Henry Cohn, 2026, needs more optimization.
14 161 0.277462604715 Henry Cohn, 2026, needs more optimization.
14 162 0.277837064330 Henry Cohn, 2026, needs more optimization.
14 163 0.278239418944 Henry Cohn, 2026, needs more optimization.
14 164 0.278745365039 Henry Cohn, 2026, needs more optimization.
14 165 0.279342784948 Henry Cohn, 2026, needs more optimization.
14 166 0.280063079944 Henry Cohn, 2026, needs more optimization.
14 167 0.284422062316 Henry Cohn, 2026, needs more optimization.
14 168 0.286572925404 Henry Cohn, 2026, needs more optimization.
14 169 0.287941194514 Henry Cohn, 2026, needs more optimization.
14 170 0.289218872244 Henry Cohn, 2026, needs more optimization.
14 171 0.290633178749 Henry Cohn, 2026, needs more optimization.
14 172 0.290743399502 Henry Cohn, 2026, needs more optimization.
14 173 0.291355843870 Henry Cohn, 2026, needs more optimization.
14 174 0.292124416695 Henry Cohn, 2026, needs more optimization.
14 175 0.293051049319 Henry Cohn, 2026, needs more optimization.
14 176 0.293772114151 Henry Cohn, 2026, needs more optimization.
14 177 0.294410411778 Henry Cohn, 2026, needs more optimization.
14 178 0.295415008379 Henry Cohn, 2026, needs more optimization.
14 179 0.295985107941 Henry Cohn, 2026, needs more optimization.
14 180 0.296647653369 Henry Cohn, 2026, needs more optimization.
14 181 0.297697534392 Henry Cohn, 2026, needs more optimization.
14 182 0.297711417623 Henry Cohn, 2026, needs more optimization.
14 183 0.297832427669 Henry Cohn, 2026, needs more optimization.
14 184 0.298059362116 Henry Cohn, 2026, needs more optimization.
14 185 0.298566407087 Henry Cohn, 2026, needs more optimization.
14 186 0.299330138873 Henry Cohn, 2026, needs more optimization.
14 187 0.299781979624 Henry Cohn, 2026, needs more optimization.
14 188 0.300677797825 Henry Cohn, 2026, needs more optimization.
14 189 0.301683443996 Henry Cohn, 2026, needs more optimization.
14 190 0.301802277751 Henry Cohn, 2026, needs more optimization.
14 191 0.302343387958 Henry Cohn, 2026, needs more optimization.
14 192 0.303611850929 Henry Cohn, 2026, needs more optimization.
14 193 0.304411329640 Henry Cohn, 2026, needs more optimization.
14 194 0.305386008633 Henry Cohn, 2026, needs more optimization.
14 195 0.306540276178 Henry Cohn, 2026, needs more optimization.
14 196 0.307923647129 Henry Cohn, 2026, needs more optimization.
14 197 0.308922634128 Henry Cohn, 2026, needs more optimization.
14 198 0.310108064412 Henry Cohn, 2026, needs more optimization.
14 199 0.310675176432 Henry Cohn, 2026, needs more optimization.
14 200 0.311235878990 Henry Cohn, 2026, needs more optimization.
14 201 0.312453273428 Henry Cohn, 2026, needs more optimization.
14 202 0.313545758001 Henry Cohn, 2026, needs more optimization.
14 203 0.313793902143 Henry Cohn, 2026, needs more optimization.
14 204 0.313845087130 Henry Cohn, 2026, needs more optimization.
14 205 0.314071038538 Henry Cohn, 2026, needs more optimization.
14 206 0.314282192249 Henry Cohn, 2026, needs more optimization.
14 207 0.314609990402 Henry Cohn, 2026, needs more optimization.
14 208 0.315016736001 Henry Cohn, 2026, needs more optimization.
14 209 0.315343997471 Henry Cohn, 2026, needs more optimization.
14 210 0.315611108752 Henry Cohn, 2026, needs more optimization.
14 211 0.315977918085 Henry Cohn, 2026, needs more optimization.
14 212 0.316396455227 Henry Cohn, 2026, needs more optimization.
14 213 0.317118881413 Henry Cohn, 2026, needs more optimization.
14 214 0.317715620105 Henry Cohn, 2026, needs more optimization.
14 215 0.318315217157 Henry Cohn, 2026, needs more optimization.
14 216 0.318932526475 Henry Cohn, 2026, needs more optimization.
14 217 0.319499864317 Henry Cohn, 2026, needs more optimization.
14 218 0.320060235639 Henry Cohn, 2026, needs more optimization.
14 219 0.320688251633 Henry Cohn, 2026, needs more optimization.
14 220 0.321047363811 Henry Cohn, 2026, needs more optimization.
14 221 0.321571210608 Henry Cohn, 2026, needs more optimization.
14 222 0.321940825710 Henry Cohn, 2026, needs more optimization.
14 223 0.322372798432 Henry Cohn, 2026, needs more optimization.
14 224 0.322800414640 Henry Cohn, 2026, needs more optimization.
14 225 0.323284697984 Henry Cohn, 2026, needs more optimization.
14 226 0.324102017629 Henry Cohn, 2026, needs more optimization.
14 227 0.324797656874 Henry Cohn, 2026, needs more optimization.
14 228 0.325279538130 Henry Cohn, 2026, needs more optimization.
14 229 0.325859456238 Henry Cohn, 2026, needs more optimization.
14 230 0.326457732146 Henry Cohn, 2026, needs more optimization.
14 231 0.326897072345 Henry Cohn, 2026, needs more optimization.
14 232 0.327623503933 Henry Cohn, 2026, needs more optimization.
14 233 0.328696135634 Henry Cohn, 2026, needs more optimization.
14 234 0.329429684628 Henry Cohn, 2026, needs more optimization.
14 235 0.330548390017 Henry Cohn, 2026, needs more optimization.
14 236 0.331742174093 Henry Cohn, 2026, needs more optimization.
14 237 0.333113714522 Henry Cohn, 2026, needs more optimization.
14 240 0.333333333334 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−1
14 252 0.333333333334 C. Ma, T. T. Zhaowei, 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
14 253 0.346770790645 Henry Cohn, 2026, needs more optimization.
14 254 0.346778025577 Henry Cohn, 2026, needs more optimization.
14 255 0.346792969361 Henry Cohn, 2026, needs more optimization.
14 256 0.346910120126 Henry Cohn, 2026, needs more optimization.
14 257 0.347047140194 Henry Cohn, 2026, needs more optimization.
14 258 0.347238500149 Henry Cohn, 2026, needs more optimization.
14 259 0.347258884595 Henry Cohn, 2026, needs more optimization.
14 260 0.347325597157 Henry Cohn, 2026, needs more optimization.
14 261 0.347390633820 Henry Cohn, 2026, needs more optimization.
14 262 0.347548655970 Henry Cohn, 2026, needs more optimization.
14 263 0.347777943182 Henry Cohn, 2026, needs more optimization.
14 264 0.348086610872 Henry Cohn, 2026, needs more optimization.
14 265 0.348213415732 Henry Cohn, 2026, needs more optimization.
14 266 0.348685110239 Henry Cohn, 2026, needs more optimization.
14 267 0.349032603284 Henry Cohn, 2026, needs more optimization.
14 268 0.349148120754 Henry Cohn, 2026, needs more optimization.
14 269 0.349224106716 Henry Cohn, 2026, needs more optimization.
14 270 0.349529221469 Henry Cohn, 2026, needs more optimization.
14 271 0.350121441303 Henry Cohn, 2026, needs more optimization.
14 272 0.350637011024 Henry Cohn, 2026, needs more optimization.
14 273 0.351183010673 Henry Cohn, 2026, needs more optimization.
14 274 0.351406795964 Henry Cohn, 2026, needs more optimization.
14 275 0.351718915936 Henry Cohn, 2026, needs more optimization.
14 276 0.352035133944 Henry Cohn, 2026, needs more optimization.
14 277 0.352287428077 Henry Cohn, 2026, needs more optimization.
14 278 0.352387386706 Henry Cohn, 2026, needs more optimization.
14 279 0.352631360352 Henry Cohn, 2026, needs more optimization.
14 280 0.352754627847 Henry Cohn, 2026, needs more optimization.
14 281 0.353074887525 Henry Cohn, 2026, needs more optimization.
14 282 0.353370241087 Henry Cohn, 2026, needs more optimization.
14 283 0.353609852878 Henry Cohn, 2026, needs more optimization.
14 284 0.353885795218 Henry Cohn, 2026, needs more optimization.
14 285 0.353934611645 Henry Cohn, 2026, needs more optimization.
14 286 0.354095507613 Henry Cohn, 2026, needs more optimization.
14 287 0.354181944093 Henry Cohn, 2026, needs more optimization.
14 288 0.354494364706 Henry Cohn, 2026, needs more optimization.
14 289 0.354566081409 Henry Cohn, 2026, needs more optimization.
14 290 0.354594639836 Henry Cohn, 2026, needs more optimization.
14 291 0.354605766765 Henry Cohn, 2026, needs more optimization.
14 292 0.354617120674 Henry Cohn, 2026, needs more optimization.
14 293 0.354696510018 Henry Cohn, 2026, needs more optimization.
14 294 0.354727017163 Henry Cohn, 2026, needs more optimization.
14 295 0.354879274318 Henry Cohn, 2026, needs more optimization.
14 296 0.354990842381 Henry Cohn, 2026, needs more optimization.
14 297 0.355078827749 Henry Cohn, 2026, needs more optimization.
14 298 0.355130535787 Henry Cohn, 2026, needs more optimization.
14 299 0.355132735812 Henry Cohn, 2026, needs more optimization.
14 300 0.355133902766 Henry Cohn, 2026, needs more optimization.
14 301 0.355135479231 Henry Cohn, 2026, needs more optimization.
14 302 0.355136957035 Henry Cohn, 2026, needs more optimization.
14 303 0.355138566226 Henry Cohn, 2026, needs more optimization.
14 304 0.355139800310 Henry Cohn, 2026, needs more optimization.
14 305 0.355140670850 Henry Cohn, 2026, needs more optimization.
14 306 0.355142117975 Henry Cohn, 2026, needs more optimization.
14 307 0.355143478821 Henry Cohn, 2026, needs more optimization.
14 308 0.355145087022 Henry Cohn, 2026, needs more optimization.
14 309 0.355146363662 Henry Cohn, 2026, needs more optimization.
14 310 0.355147840862 Henry Cohn, 2026, needs more optimization.
14 311 0.355148978138 Henry Cohn, 2026, needs more optimization.
14 312 0.355150168606 Henry Cohn, 2026, needs more optimization.
14 313 0.355150665198 Henry Cohn, 2026, needs more optimization.
14 314 0.355152789923 Henry Cohn, 2026, needs more optimization.
14 315 0.355153621526 Henry Cohn, 2026, needs more optimization.
14 316 0.355154392260 Henry Cohn, 2026, needs more optimization.
14 317 0.355155502136 Henry Cohn, 2026, needs more optimization.
14 318 0.355155750397 Henry Cohn, 2026, needs more optimization.
14 319 0.355156385677 Henry Cohn, 2026, needs more optimization.
14 320 0.355157001346 Henry Cohn, 2026, needs more optimization.
14 321 0.355158095538 Henry Cohn, 2026, needs more optimization.
14 322 0.355159507769 Henry Cohn, 2026, needs more optimization.
14 323 0.355160860467 Henry Cohn, 2026, needs more optimization.
14 324 0.355161477662 Henry Cohn, 2026, needs more optimization.
14 325 0.355163051638 Henry Cohn, 2026, needs more optimization.
14 326 0.355163668215 Henry Cohn, 2026, needs more optimization.
14 327 0.355164238427 Henry Cohn, 2026, needs more optimization.
14 328 0.355165140581 Henry Cohn, 2026, needs more optimization.
14 329 0.355166324800 Henry Cohn, 2026, needs more optimization.
14 330 0.355166776128 Henry Cohn, 2026, needs more optimization.
14 331 0.355167830096 Henry Cohn, 2026, needs more optimization.
14 332 0.355168663873 Henry Cohn, 2026, needs more optimization.
14 333 0.355170024181 Henry Cohn, 2026, needs more optimization.
14 334 0.355172035802 Henry Cohn, 2026, needs more optimization.
14 335 0.355172480532 Henry Cohn, 2026, needs more optimization.
14 336 0.355173688452 Henry Cohn, 2026, needs more optimization.
14 337 0.355174563930 Henry Cohn, 2026, needs more optimization.
14 338 0.355361882869 Henry Cohn, 2026, needs more optimization.
14 339 0.356043883087 Henry Cohn, 2026, needs more optimization.
14 340 0.357686150910 Henry Cohn, 2026, needs more optimization.
14 341 0.358560248601 Henry Cohn, 2026, needs more optimization.
14 342 0.358597226497 Henry Cohn, 2026, needs more optimization.
14 343 0.358656187255 Henry Cohn, 2026, needs more optimization.
14 344 0.360286980963 Henry Cohn, 2026, needs more optimization.
14 345 0.360798268203 Henry Cohn, 2026, needs more optimization.
14 346 0.363060118283 Henry Cohn, 2026, needs more optimization.
14 347 0.365299482652 Henry Cohn, 2026, needs more optimization.
14 348 0.365977353840 Henry Cohn, 2026, needs more optimization.
14 349 0.366722634597 Henry Cohn, 2026, needs more optimization.
14 350 0.367174998039 Henry Cohn, 2026, needs more optimization.
14 351 0.367284426159 Henry Cohn, 2026, needs more optimization.
14 352 0.367368036801 Henry Cohn, 2026, needs more optimization.
14 353 0.368919449628 Henry Cohn, 2026, needs more optimization.
14 354 0.369709032268 Henry Cohn, 2026, needs more optimization.
14 355 0.370607442658 Henry Cohn, 2026, needs more optimization.
14 356 0.371386933446 Henry Cohn, 2026, needs more optimization.
14 357 0.372323834440 Henry Cohn, 2026, needs more optimization.
14 358 0.374183089079 Henry Cohn, 2026, needs more optimization.
14 359 0.374887572037 Henry Cohn, 2026, needs more optimization.
14 360 0.375526237212 Henry Cohn, 2026, needs more optimization.
14 361 0.377667152335 Henry Cohn, 2026, needs more optimization.
14 362 0.377671192362 Henry Cohn, 2026, needs more optimization.
14 363 0.377680912394 Henry Cohn, 2026, needs more optimization.
14 364 0.377684546636 Henry Cohn, 2026, needs more optimization.
14 365 0.378163602205 Henry Cohn, 2026, needs more optimization.
14 366 0.378180289306 Henry Cohn, 2026, needs more optimization.
14 367 0.378185950731 Henry Cohn, 2026, needs more optimization.
14 368 0.378362444071 Henry Cohn, 2026, needs more optimization.
14 369 0.378367250060 Henry Cohn, 2026, needs more optimization.
14 370 0.378373474696 Henry Cohn, 2026, needs more optimization.
14 371 0.379223075117 Henry Cohn, 2026, needs more optimization.
14 372 0.379395445962 Henry Cohn, 2026, needs more optimization.
14 373 0.379402061451 Henry Cohn, 2026, needs more optimization.
14 374 0.379405551160 Henry Cohn, 2026, needs more optimization.
14 375 0.379413821290 Henry Cohn, 2026, needs more optimization.
14 376 0.379425751059 Henry Cohn, 2026, needs more optimization.
14 377 0.381681661323 Henry Cohn, 2026, needs more optimization.
14 378 0.381686883919 Henry Cohn, 2026, needs more optimization.
14 379 0.381688744899 Henry Cohn, 2026, needs more optimization.
14 380 0.381691016546 Henry Cohn, 2026, needs more optimization.
14 381 0.381694259143 Henry Cohn, 2026, needs more optimization.
14 382 0.381696405945 Henry Cohn, 2026, needs more optimization.
14 383 0.381704348920 Henry Cohn, 2026, needs more optimization.
14 384 0.381706982619 Henry Cohn, 2026, needs more optimization.
14 385 0.381802070135 Henry Cohn, 2026, needs more optimization.
14 386 0.381815933107 Henry Cohn, 2026, needs more optimization.
14 387 0.382339859544 Henry Cohn, 2026, needs more optimization.
14 388 0.383683115240 Henry Cohn, 2026, needs more optimization.
14 389 0.384417578398 Henry Cohn, 2026, needs more optimization.
14 390 0.384808457264 Henry Cohn, 2026, needs more optimization.
14 391 0.385555873968 Henry Cohn, 2026, needs more optimization.
14 392 0.385642700196 Henry Cohn, 2026, needs more optimization.
14 393 0.385717117180 Henry Cohn, 2026, needs more optimization.
14 394 0.385811790018 Henry Cohn, 2026, needs more optimization.
14 395 0.385840916830 Henry Cohn, 2026, needs more optimization.
14 396 0.385860361285 Henry Cohn, 2026, needs more optimization.
14 397 0.386813704239 Henry Cohn, 2026, needs more optimization.
14 398 0.386837492479 Henry Cohn, 2026, needs more optimization.
14 399 0.387845457230 Henry Cohn, 2026, needs more optimization.
14 400 0.387924732591 Henry Cohn, 2026, needs more optimization.
14 401 0.387933710283 Henry Cohn, 2026, needs more optimization.
14 402 0.388793710750 Henry Cohn, 2026, needs more optimization.
14 403 0.389273536193 Henry Cohn, 2026, needs more optimization.
14 404 0.389658770348 Henry Cohn, 2026, needs more optimization.
14 405 0.389811296320 Henry Cohn, 2026, needs more optimization.
14 406 0.390138220229 Henry Cohn, 2026, needs more optimization.
14 407 0.390326303099 Henry Cohn, 2026, needs more optimization.
14 408 0.390430390260 Henry Cohn, 2026, needs more optimization.
14 409 0.390505359249 Henry Cohn, 2026, needs more optimization.
14 410 0.390702644079 Henry Cohn, 2026, needs more optimization.
14 411 0.390803889416 Henry Cohn, 2026, needs more optimization.
14 412 0.390832375023 Henry Cohn, 2026, needs more optimization.
14 413 0.390855222469 Henry Cohn, 2026, needs more optimization.
14 414 0.390867821470 Henry Cohn, 2026, needs more optimization.
14 415 0.391047287367 Henry Cohn, 2026, needs more optimization.
14 435 0.391891891892 Henry Cohn, 2026.
74⁢x−29
14 436 0.394835395384 Henry Cohn, 2026, needs more optimization.
14 437 0.395907785510 Henry Cohn, 2026, needs more optimization.
14 438 0.396551713013 Henry Cohn, 2026, needs more optimization.
14 439 0.396990626262 Henry Cohn, 2026, needs more optimization.
14 440 0.397346809347 Henry Cohn, 2026, needs more optimization.
14 441 0.397630186161 Henry Cohn, 2026, needs more optimization.
14 442 0.398093258442 Henry Cohn, 2026, needs more optimization.
14 443 0.398793259888 Henry Cohn, 2026, needs more optimization.
14 444 0.399267570342 Henry Cohn, 2026, needs more optimization.
14 445 0.399602601157 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
14 492 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
14 493 0.402330459939 Henry Cohn, 2026, needs more optimization.
14 494 0.402332502198 Henry Cohn, 2026, needs more optimization.
14 495 0.403220769598 Henry Cohn, 2026, needs more optimization.
14 496 0.404855359192 Henry Cohn, 2026, needs more optimization.
14 497 0.407599640922 Henry Cohn, 2026, needs more optimization.
14 498 0.408802994152 Henry Cohn, 2026, needs more optimization.
14 499 0.409129809210 Henry Cohn, 2026, needs more optimization.
14 500 0.409198983274 Henry Cohn, 2026, needs more optimization.
14 501 0.409647396576 Henry Cohn, 2026, needs more optimization.
14 502 0.410585061457 Henry Cohn, 2026, needs more optimization.
14 503 0.412611990386 Henry Cohn, 2026, needs more optimization.
14 504 0.414213105489 Henry Cohn, 2026, needs more optimization.
14 505 0.414859941034 Henry Cohn, 2026, needs more optimization.
14 506 0.416112243649 Henry Cohn, 2026, needs more optimization.
14 507 0.417918197600 Henry Cohn, 2026, needs more optimization.
14 508 0.418504160633 Henry Cohn, 2026, needs more optimization.
14 509 0.419515651193 Henry Cohn, 2026, needs more optimization.
14 510 0.419698729124 Henry Cohn, 2026, needs more optimization.
14 511 0.420928302108 Henry Cohn, 2026, needs more optimization.
14 512 0.421055420040 Henry Cohn, 2026, needs more optimization.
14 513 0.421223138273 Henry Cohn, 2026, needs more optimization.
14 514 0.421731865021 Henry Cohn, 2026, needs more optimization.
14 515 0.422312880269 Henry Cohn, 2026, needs more optimization.
14 516 0.422501721133 Henry Cohn, 2026, needs more optimization.
14 517 0.423001740746 Henry Cohn, 2026, needs more optimization.
14 555 0.423076923077 Henry Cohn, 2026.
26⁢x−11
14 556 0.423621554971 Henry Cohn, 2026, needs more optimization.
14 557 0.423678461512 Henry Cohn, 2026, needs more optimization.
14 558 0.426727403830 Henry Cohn, 2026, needs more optimization.
14 559 0.427447644958 Henry Cohn, 2026, needs more optimization.
14 560 0.427997730626 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 0.429745873879 Henry Cohn, 2026, needs more optimization.
14 602 0.430055652117 Henry Cohn, 2026, needs more optimization.
14 603 0.430223537019 Henry Cohn, 2026, needs more optimization.
14 604 0.430588123231 Henry Cohn, 2026, needs more optimization.
14 605 0.430987479850 Henry Cohn, 2026, needs more optimization.
14 606 0.431127565446 Henry Cohn, 2026, needs more optimization.
14 607 0.431173588540 Henry Cohn, 2026, needs more optimization.
14 608 0.431348283630 Henry Cohn, 2026, needs more optimization.
14 609 0.431490654909 Henry Cohn, 2026, needs more optimization.
14 610 0.431599314958 Henry Cohn, 2026, needs more optimization.
14 611 0.431620764803 Henry Cohn, 2026, needs more optimization.
14 612 0.432125134746 Henry Cohn, 2026, needs more optimization.
14 613 0.432214196017 Henry Cohn, 2026, needs more optimization.
14 614 0.432260463949 Henry Cohn, 2026, needs more optimization.
14 615 0.432788302162 Henry Cohn, 2026, needs more optimization.
14 616 0.432824913968 Henry Cohn, 2026, needs more optimization.
14 617 0.432843700953 Henry Cohn, 2026, needs more optimization.
14 618 0.432865019902 Henry Cohn, 2026, needs more optimization.
14 619 0.432911689037 Henry Cohn, 2026, needs more optimization.
14 620 0.432944315360 Henry Cohn, 2026, needs more optimization.
14 621 0.432965812906 Henry Cohn, 2026, needs more optimization.
14 622 0.432997262492 Henry Cohn, 2026, needs more optimization.
14 623 0.433031752912 Henry Cohn, 2026, needs more optimization.
14 624 0.433079861767 Henry Cohn, 2026, needs more optimization.
14 625 0.433119844408 Henry Cohn, 2026, needs more optimization.
14 626 0.433170319668 Henry Cohn, 2026, needs more optimization.
14 627 0.433216536487 Henry Cohn, 2026, needs more optimization.
14 628 0.433480282320 Henry Cohn, 2026, needs more optimization.
14 629 0.433499895895 Henry Cohn, 2026, needs more optimization.
14 630 0.433544133772 Henry Cohn, 2026, needs more optimization.
14 631 0.433600036167 Henry Cohn, 2026, needs more optimization.
14 632 0.433644083590 Henry Cohn, 2026, needs more optimization.
14 633 0.433686093512 Henry Cohn, 2026, needs more optimization.
14 634 0.433711063997 Henry Cohn, 2026, needs more optimization.
14 635 0.433777744811 Henry Cohn, 2026, needs more optimization.
14 636 0.433804591437 Henry Cohn, 2026, needs more optimization.
14 637 0.433856419849 Henry Cohn, 2026, needs more optimization.
14 638 0.433911702172 Henry Cohn, 2026, needs more optimization.
14 639 0.433917895641 Henry Cohn, 2026, needs more optimization.
14 640 0.434148989664 Henry Cohn, 2026, needs more optimization.
14 641 0.434185328039 Henry Cohn, 2026, needs more optimization.
14 642 0.434191850187 Henry Cohn, 2026, needs more optimization.
14 643 0.451415981508 Henry Cohn, 2026, needs more optimization.
14 645 0.451416511825 Henry Cohn, 2026, needs more optimization.
14 646 0.451418062509 Henry Cohn, 2026, needs more optimization.
14 648 0.451504157474 Henry Cohn, 2026, needs more optimization.
14 650 0.451515219192 Henry Cohn, 2026, needs more optimization.
14 651 0.451549211422 Henry Cohn, 2026, needs more optimization.
14 653 0.451561807061 Henry Cohn, 2026, needs more optimization.
14 657 0.451606140067 Henry Cohn, 2026, needs more optimization.
14 659 0.451620866135 Henry Cohn, 2026, needs more optimization.
14 660 0.451627437404 Henry Cohn, 2026, needs more optimization.
14 661 0.451741195107 Henry Cohn, 2026, needs more optimization.
14 662 0.451793666822 Henry Cohn, 2026, needs more optimization.
14 663 0.451837284168 Henry Cohn, 2026, needs more optimization.
14 664 0.451864733823 Henry Cohn, 2026, needs more optimization.
14 665 0.451913940387 Henry Cohn, 2026, needs more optimization.
14 666 0.451957942760 Henry Cohn, 2026, needs more optimization.
14 667 0.452019648095 Henry Cohn, 2026, needs more optimization.
14 668 0.452057137801 Henry Cohn, 2026, needs more optimization.
14 669 0.452178651451 Henry Cohn, 2026, needs more optimization.
14 670 0.452240072642 Henry Cohn, 2026, needs more optimization.
14 671 0.452407306090 Henry Cohn, 2026, needs more optimization.
14 672 0.452537978825 Henry Cohn, 2026, needs more optimization.
14 673 0.452640888136 Henry Cohn, 2026, needs more optimization.
14 674 0.453059154469 Henry Cohn, 2026, needs more optimization.
14 675 0.453136342394 Henry Cohn, 2026, needs more optimization.
14 677 0.453204893090 Henry Cohn, 2026, needs more optimization.
14 678 0.453258106340 Henry Cohn, 2026, needs more optimization.
14 679 0.453340728865 Henry Cohn, 2026, needs more optimization.
14 680 0.453385928329 Henry Cohn, 2026, needs more optimization.
14 681 0.453420717991 Henry Cohn, 2026, needs more optimization.
14 682 0.453469747445 Henry Cohn, 2026, needs more optimization.
14 683 0.453510774387 Henry Cohn, 2026, needs more optimization.
14 684 0.453660647641 Henry Cohn, 2026, needs more optimization.
14 686 0.453760673570 Henry Cohn, 2026, needs more optimization.
14 687 0.453763197858 Henry Cohn, 2026, needs more optimization.
14 688 0.453847685308 Henry Cohn, 2026, needs more optimization.
14 689 0.453926708902 Henry Cohn, 2026, needs more optimization.
14 690 0.454052390710 Henry Cohn, 2026, needs more optimization.
14 691 0.454074139202 Henry Cohn, 2026, needs more optimization.
14 692 0.454118080805 Henry Cohn, 2026, needs more optimization.
14 693 0.454156136322 Henry Cohn, 2026, needs more optimization.
14 694 0.454202998279 Henry Cohn, 2026, needs more optimization.
14 695 0.454275144493 Henry Cohn, 2026, needs more optimization.
14 696 0.454288723563 Henry Cohn, 2026, needs more optimization.
14 698 0.454373434589 Henry Cohn, 2026, needs more optimization.
14 699 0.454397939332 Henry Cohn, 2026, needs more optimization.
14 700 0.454428044751 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 0.454719228542 Henry Cohn, 2026, needs more optimization.
14 898 0.454817872934 Henry Cohn, 2026, needs more optimization.
14 899 0.454841719871 Henry Cohn, 2026, needs more optimization.
14 900 0.454885992864 Henry Cohn, 2026, needs more optimization.
14 901 0.454907666638 Henry Cohn, 2026, needs more optimization.
14 902 0.454950598166 Henry Cohn, 2026, needs more optimization.
14 903 0.454976430833 Henry Cohn, 2026, needs more optimization.
14 904 0.455053272682 Henry Cohn, 2026, needs more optimization.
14 905 0.455088977716 Henry Cohn, 2026, needs more optimization.
14 906 0.455096813304 Henry Cohn, 2026, needs more optimization.
14 907 0.455108620016 Henry Cohn, 2026, needs more optimization.
14 908 0.455120356347 Henry Cohn, 2026, needs more optimization.
14 909 0.455140013548 Henry Cohn, 2026, needs more optimization.
14 910 0.455157729415 Henry Cohn, 2026, needs more optimization.
14 911 0.455174836117 Henry Cohn, 2026, needs more optimization.
14 912 0.455185565511 Henry Cohn, 2026, needs more optimization.
14 913 0.455196742333 Henry Cohn, 2026, needs more optimization.
14 914 0.455210036234 Henry Cohn, 2026, needs more optimization.
14 915 0.455223517771 Henry Cohn, 2026, needs more optimization.
14 916 0.455247637709 Henry Cohn, 2026, needs more optimization.
14 917 0.455260189606 Henry Cohn, 2026, needs more optimization.
14 918 0.455284504637 Henry Cohn, 2026, needs more optimization.
14 919 0.455314358119 Henry Cohn, 2026, needs more optimization.
14 920 0.455326689867 Henry Cohn, 2026, needs more optimization.
14 921 0.455339855729 Henry Cohn, 2026, needs more optimization.
14 922 0.455345423926 Henry Cohn, 2026, needs more optimization.
14 924 0.455349171804 Henry Cohn, 2026, needs more optimization.
14 925 0.455351537723 Henry Cohn, 2026, needs more optimization.
14 926 0.455358896413 Henry Cohn, 2026, needs more optimization.
14 927 0.455366453145 Henry Cohn, 2026, needs more optimization.
14 928 0.455369387330 Henry Cohn, 2026, needs more optimization.
14 929 0.455374081578 Henry Cohn, 2026, needs more optimization.
14 930 0.455378882411 Henry Cohn, 2026, needs more optimization.
14 931 0.455380847317 Henry Cohn, 2026, needs more optimization.
14 932 0.455388143438 Henry Cohn, 2026, needs more optimization.
14 933 0.455393806318 Henry Cohn, 2026, needs more optimization.
14 934 0.455395236754 Henry Cohn, 2026, needs more optimization.
14 935 0.455397379524 Henry Cohn, 2026, needs more optimization.
14 936 0.455402841336 Henry Cohn, 2026, needs more optimization.
14 937 0.455408675534 Henry Cohn, 2026, needs more optimization.
14 938 0.455413257812 Henry Cohn, 2026, needs more optimization.
14 939 0.455419313207 Henry Cohn, 2026, needs more optimization.
14 940 0.455425118727 Henry Cohn, 2026, needs more optimization.
14 941 0.455429276027 Henry Cohn, 2026, needs more optimization.
14 942 0.455435411346 Henry Cohn, 2026, needs more optimization.
14 943 0.455440550119 Henry Cohn, 2026, needs more optimization.
14 944 0.455446818148 Henry Cohn, 2026, needs more optimization.
14 945 0.455450900106 Henry Cohn, 2026, needs more optimization.
14 946 0.455457025616 Henry Cohn, 2026, needs more optimization.
14 947 0.455459871696 Henry Cohn, 2026, needs more optimization.
14 948 0.455469386987 Henry Cohn, 2026, needs more optimization.
14 949 0.455473216803 Henry Cohn, 2026, needs more optimization.
14 950 0.455477645768 Henry Cohn, 2026, needs more optimization.
14 951 0.455486008927 Henry Cohn, 2026, needs more optimization.
14 952 0.455493218185 Henry Cohn, 2026, needs more optimization.
14 953 0.455498726210 Henry Cohn, 2026, needs more optimization.
14 954 0.455509117681 Henry Cohn, 2026, needs more optimization.
14 955 0.455512657812 Henry Cohn, 2026, needs more optimization.
14 956 0.455534335290 Henry Cohn, 2026, needs more optimization.
14 957 0.455540241388 Henry Cohn, 2026, needs more optimization.
14 958 0.455546639329 Henry Cohn, 2026, needs more optimization.
14 959 0.455553967478 Henry Cohn, 2026, needs more optimization.
14 960 0.455557205263 Henry Cohn, 2026, needs more optimization.
14 961 0.455563237992 Henry Cohn, 2026, needs more optimization.
14 962 0.455568083544 Henry Cohn, 2026, needs more optimization.
14 963 0.455577354830 Henry Cohn, 2026, needs more optimization.
14 964 0.455585771683 Henry Cohn, 2026, needs more optimization.
14 965 0.455592710913 Henry Cohn, 2026, needs more optimization.
14 966 0.455598891046 Henry Cohn, 2026, needs more optimization.
14 967 0.455603819071 Henry Cohn, 2026, needs more optimization.
14 968 0.455610032057 Henry Cohn, 2026, needs more optimization.
14 969 0.455612698212 Henry Cohn, 2026, needs more optimization.
14 970 0.455616300651 Henry Cohn, 2026, needs more optimization.
14 971 0.455626379572 Henry Cohn, 2026, needs more optimization.
14 972 0.455632026554 Henry Cohn, 2026, needs more optimization.
14 973 0.455636034266 Henry Cohn, 2026, needs more optimization.
14 974 0.455640320563 Henry Cohn, 2026, needs more optimization.
14 975 0.455647040535 Henry Cohn, 2026, needs more optimization.
14 976 0.455654548525 Henry Cohn, 2026, needs more optimization.
14 979 0.456272883596 Henry Cohn, 2026, needs more optimization.
14 980 0.456273077561 Henry Cohn, 2026, needs more optimization.
14 981 0.456274808763 Henry Cohn, 2026, needs more optimization.
14 982 0.456275140877 Henry Cohn, 2026, needs more optimization.
14 983 0.456277323983 Henry Cohn, 2026, needs more optimization.
14 985 0.456279795868 Henry Cohn, 2026, needs more optimization.
14 986 0.456281992801 Henry Cohn, 2026, needs more optimization.
14 987 0.456282899369 Henry Cohn, 2026, needs more optimization.
14 988 0.456283651751 Henry Cohn, 2026, needs more optimization.
14 989 0.456284622344 Henry Cohn, 2026, needs more optimization.
14 990 0.456286694747 Henry Cohn, 2026, needs more optimization.
14 991 0.456288847898 Henry Cohn, 2026, needs more optimization.
14 992 0.456289202594 Henry Cohn, 2026, needs more optimization.
14 993 0.456289301392 Henry Cohn, 2026, needs more optimization.
14 994 0.456290233859 Henry Cohn, 2026, needs more optimization.
14 995 0.456294217478 Henry Cohn, 2026, needs more optimization.
14 996 0.456295331815 Henry Cohn, 2026, needs more optimization.
14 999 0.456299648874 Henry Cohn, 2026, needs more optimization.
14 1002 0.456304059488 Henry Cohn, 2026, needs more optimization.
14 1003 0.456305516592 Henry Cohn, 2026, needs more optimization.
14 1006 0.456306185707 Henry Cohn, 2026, needs more optimization.
14 1008 0.456307864093 Henry Cohn, 2026, needs more optimization.
14 1009 0.456311149046 Henry Cohn, 2026, needs more optimization.
14 1010 0.456313487429 Henry Cohn, 2026, needs more optimization.
14 1011 0.456315367131 Henry Cohn, 2026, needs more optimization.
14 1012 0.456315696252 Henry Cohn, 2026, needs more optimization.
14 1015 0.456317317579 Henry Cohn, 2026, needs more optimization.
14 1016 0.457549967733 Henry Cohn, 2026, needs more optimization.
14 1017 0.457552363580 Henry Cohn, 2026, needs more optimization.
14 1018 0.457554380023 Henry Cohn, 2026, needs more optimization.
14 1019 0.457559618085 Henry Cohn, 2026, needs more optimization.
14 1020 0.457566402411 Henry Cohn, 2026, needs more optimization.
14 1021 0.457575374184 Henry Cohn, 2026, needs more optimization.
14 1022 0.457582487453 Henry Cohn, 2026, needs more optimization.
14 1023 0.457587190989 Henry Cohn, 2026, needs more optimization.
14 1024 0.457591858549 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 0.093058708471 Henry Cohn, 2026.
15 42 0.096809796022 Henry Cohn, 2023.
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 0.112519700675 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 0.119568772343 Henry Cohn, 2025.
15 61 0.128458591981 Henry Cohn, 2025.
263⁢x2−26⁢x−1
15 62 0.129608604388 Henry Cohn, 2026.
15 63 0.129675303921 Henry Cohn, 2026, needs more optimization.
15 64 0.129676245976 Henry Cohn, 2025, needs more optimization.
15 65 0.129676247045 Henry Cohn, 2026, needs more optimization.
15 66 0.142849849465 Henry Cohn, 2025.
15 67 0.144353409494 Henry Cohn, 2023.
15 68 0.146740451793 Henry Cohn, 2026.
15 69 0.160033734974 Henry Cohn, 2024.
15 70 0.160964563056 Henry Cohn, 2024.
15 73 0.161462093425 Henry Cohn, 2026.
15 76 0.168269539561 Henry Cohn, 2026, needs more optimization.
15 78 0.168276949824 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 0.186858652290 Henry Cohn, 2026.
15 95 0.187077042680 Henry Cohn, 2026, needs more optimization.
15 96 0.187887288776 Henry Cohn, 2026, needs more optimization.
15 98 0.188666328568 Henry Cohn, 2026, needs more optimization.
15 99 0.188666328574 Henry Cohn, 2026, needs more optimization.
15 100 0.189749536215 Henry Cohn, 2026, needs more optimization.
15 101 0.197672143282 Henry Cohn, 2026, needs more optimization.
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.
15 130 0.216448879445 Henry Cohn, 2026, needs more optimization.
15 131 0.219824716146 Henry Cohn, 2026, needs more optimization.
15 132 0.221692066424 Henry Cohn, 2026, needs more optimization.
15 135 0.223068626266 Henry Cohn, 2026, needs more optimization.
15 136 0.225990151252 Henry Cohn, 2026.
15 137 0.226886840485 Henry Cohn, 2026, needs more optimization.
15 142 0.227160244714 Henry Cohn, 2026.
15 143 0.232251345705 Henry Cohn, 2026.
15 144 0.235179709766 Henry Cohn, 2026, needs more optimization.
15 145 0.237561438421 Henry Cohn, 2026, needs more optimization.
15 146 0.238721219437 Henry Cohn, 2026, needs more optimization.
15 147 0.238762614057 Henry Cohn, 2026, needs more optimization.
15 148 0.239558562305 Henry Cohn, 2026, needs more optimization.
15 149 0.239558597601 Henry Cohn, 2026, needs more optimization.
15 150 0.239558871952 Henry Cohn, 2026, needs more optimization.
15 151 0.239559226072 Henry Cohn, 2026, needs more optimization.
15 152 0.244616813220 Henry Cohn, 2026, needs more optimization.
15 153 0.245473009742 Henry Cohn, 2026, needs more optimization.
15 156 0.248124762896 Henry Cohn, 2026, needs more optimization.
15 157 0.249069470433 Henry Cohn, 2026.
15 158 0.253987633701 Henry Cohn, 2026, needs more optimization.
15 159 0.254474464845 Henry Cohn, 2026, needs more optimization.
15 160 0.254877411534 Henry Cohn, 2026, needs more optimization.
15 161 0.255435868248 Henry Cohn, 2026, needs more optimization.
15 162 0.256445827580 Henry Cohn, 2026, needs more optimization.
15 163 0.257093490380 Henry Cohn, 2026, needs more optimization.
15 164 0.257359308774 Henry Cohn, 2026, needs more optimization.
15 165 0.257391616061 Henry Cohn, 2026, needs more optimization.
15 166 0.257476235366 Henry Cohn, 2026, needs more optimization.
15 167 0.257676625355 Henry Cohn, 2026, needs more optimization.
15 168 0.257853480086 Henry Cohn, 2026, needs more optimization.
15 169 0.258096235294 Henry Cohn, 2026, needs more optimization.
15 170 0.258179090726 Henry Cohn, 2026, needs more optimization.
15 171 0.258378495379 Henry Cohn, 2026, needs more optimization.
15 172 0.258514309980 Henry Cohn, 2026, needs more optimization.
15 173 0.258642110145 Henry Cohn, 2026, needs more optimization.
15 174 0.258728233010 Henry Cohn, 2026, needs more optimization.
15 175 0.259111087680 Henry Cohn, 2026, needs more optimization.
15 176 0.259187685513 Henry Cohn, 2026, needs more optimization.
15 177 0.259700824040 Henry Cohn, 2026, needs more optimization.
15 178 0.259958289957 Henry Cohn, 2026, needs more optimization.
15 179 0.260069112452 Henry Cohn, 2026, needs more optimization.
15 180 0.260071738767 Henry Cohn, 2026, needs more optimization.
15 181 0.260078826482 Henry Cohn, 2026, needs more optimization.
15 182 0.260107832057 Henry Cohn, 2026, needs more optimization.
15 183 0.260128334592 Henry Cohn, 2026, needs more optimization.
15 184 0.260236772722 Henry Cohn, 2026, needs more optimization.
15 185 0.260320202562 Henry Cohn, 2026, needs more optimization.
15 186 0.260378067225 Henry Cohn, 2026, needs more optimization.
15 187 0.260799388304 Henry Cohn, 2026, needs more optimization.
15 188 0.261524822205 Henry Cohn, 2026, needs more optimization.
15 189 0.261958685146 Henry Cohn, 2026, needs more optimization.
15 190 0.262366848503 Henry Cohn, 2026, needs more optimization.
15 191 0.262528959872 Henry Cohn, 2026, needs more optimization.
15 192 0.262930705652 Henry Cohn, 2026, needs more optimization.
15 193 0.263167012146 Henry Cohn, 2026, needs more optimization.
15 194 0.263494519984 Henry Cohn, 2026, needs more optimization.
15 195 0.263757355657 Henry Cohn, 2026, needs more optimization.
15 196 0.263988368593 Henry Cohn, 2026, needs more optimization.
15 197 0.264167030892 Henry Cohn, 2026, needs more optimization.
15 198 0.264287815124 Henry Cohn, 2026, needs more optimization.
15 199 0.264393230582 Henry Cohn, 2026, needs more optimization.
15 200 0.264512055045 Henry Cohn, 2026, needs more optimization.
15 201 0.264679604070 Henry Cohn, 2026, needs more optimization.
15 202 0.264862838266 Henry Cohn, 2026, needs more optimization.
15 203 0.264984728968 Henry Cohn, 2026, needs more optimization.
15 204 0.265129163684 Henry Cohn, 2026, needs more optimization.
15 205 0.265251543999 Henry Cohn, 2026, needs more optimization.
15 206 0.265354276627 Henry Cohn, 2026, needs more optimization.
15 207 0.265450291555 Henry Cohn, 2026, needs more optimization.
15 208 0.265531313478 Henry Cohn, 2026, needs more optimization.
15 209 0.265670383097 Henry Cohn, 2026, needs more optimization.
15 210 0.265783974255 Henry Cohn, 2026, needs more optimization.
15 211 0.265951552753 Henry Cohn, 2026, needs more optimization.
15 212 0.265981663211 Henry Cohn, 2026, needs more optimization.
15 213 0.266095931907 Henry Cohn, 2026, needs more optimization.
15 214 0.266230466933 Henry Cohn, 2026, needs more optimization.
15 215 0.266322309599 Henry Cohn, 2026, needs more optimization.
15 217 0.266362814742 Henry Cohn, 2026, needs more optimization.
15 218 0.266362814744 Henry Cohn, 2026, needs more optimization.
15 219 0.266440752220 Henry Cohn, 2026, needs more optimization.
15 220 0.266583431142 Henry Cohn, 2026, needs more optimization.
15 221 0.273150769639 Henry Cohn, 2026, needs more optimization.
15 222 0.284149977202 Henry Cohn, 2026, needs more optimization.
15 223 0.284251933118 Henry Cohn, 2026, needs more optimization.
15 224 0.284364113380 Henry Cohn, 2026, needs more optimization.
15 225 0.285452049524 Henry Cohn, 2026, needs more optimization.
15 226 0.285515604476 Henry Cohn, 2026, needs more optimization.
15 228 0.285515643980 Henry Cohn, 2026, needs more optimization.
15 229 0.285521859150 Henry Cohn, 2026, needs more optimization.
15 230 0.285521870190 Henry Cohn, 2026, needs more optimization.
15 231 0.285525146445 Henry Cohn, 2026, needs more optimization.
15 232 0.285531264973 Henry Cohn, 2026, needs more optimization.
15 233 0.285536309272 Henry Cohn, 2026, needs more optimization.
15 234 0.285542915076 Henry Cohn, 2026, needs more optimization.
15 235 0.285560677193 Henry Cohn, 2026, needs more optimization.
15 236 0.285572449536 Henry Cohn, 2026, needs more optimization.
15 237 0.285583482535 Henry Cohn, 2026, needs more optimization.
15 238 0.285593497710 Henry Cohn, 2026, needs more optimization.
15 239 0.285607662559 Henry Cohn, 2026, needs more optimization.
15 240 0.285631201317 Henry Cohn, 2026, needs more optimization.
15 241 0.285658940997 Henry Cohn, 2026, needs more optimization.
15 242 0.285672695620 Henry Cohn, 2026, needs more optimization.
15 243 0.286368647233 Henry Cohn, 2026, needs more optimization.
15 244 0.286935827711 Henry Cohn, 2026, needs more optimization.
15 245 0.287258046253 Henry Cohn, 2026, needs more optimization.
15 246 0.287706774243 Henry Cohn, 2026, needs more optimization.
15 247 0.288090813571 Henry Cohn, 2026, needs more optimization.
15 248 0.288361312607 Henry Cohn, 2026, needs more optimization.
15 249 0.291752699197 Henry Cohn, 2026, needs more optimization.
15 250 0.294425817098 Henry Cohn, 2026, needs more optimization.
15 251 0.297313536240 Henry Cohn, 2026, needs more optimization.
15 252 0.297805885600 Henry Cohn, 2026, needs more optimization.
15 253 0.297826741256 Henry Cohn, 2026, needs more optimization.
15 254 0.297925421026 Henry Cohn, 2026, needs more optimization.
15 256 0.297926304913 Henry Cohn, 2026.
15 257 0.302591860530 Henry Cohn, 2026, needs more optimization.
15 258 0.304745123433 Henry Cohn, 2026, needs more optimization.
15 259 0.305963113931 Henry Cohn, 2026, needs more optimization.
15 260 0.307183763306 Henry Cohn, 2026, needs more optimization.
15 261 0.308190960755 Henry Cohn, 2026, needs more optimization.
15 262 0.309418185500 Henry Cohn, 2026, needs more optimization.
15 263 0.309494355022 Henry Cohn, 2026, needs more optimization.
15 264 0.309633685375 Henry Cohn, 2026, needs more optimization.
15 265 0.312022730177 Henry Cohn, 2026, needs more optimization.
15 266 0.313595092059 Henry Cohn, 2026, needs more optimization.
15 267 0.315079097326 Henry Cohn, 2026, needs more optimization.
15 268 0.316238130518 Henry Cohn, 2026, needs more optimization.
15 269 0.316301144608 Henry Cohn, 2026, needs more optimization.
15 270 0.316564747477 Henry Cohn, 2026, needs more optimization.
15 271 0.319241988593 Henry Cohn, 2026, needs more optimization.
15 272 0.321154726421 Henry Cohn, 2026, needs more optimization.
15 273 0.323516617829 Henry Cohn, 2026, needs more optimization.
15 274 0.324908252826 Henry Cohn, 2026, needs more optimization.
15 275 0.326689975986 Henry Cohn, 2026, needs more optimization.
15 276 0.328603668650 Henry Cohn, 2026, needs more optimization.
15 277 0.330219287385 Henry Cohn, 2026, needs more optimization.
15 278 0.331400228793 Henry Cohn, 2026, needs more optimization.
15 279 0.332709973693 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 0.339350981887 Henry Cohn, 2026, needs more optimization.
15 322 0.340376136582 Henry Cohn, 2026, needs more optimization.
15 323 0.341305352758 Henry Cohn, 2026, needs more optimization.
15 324 0.341888728721 Henry Cohn, 2026, needs more optimization.
15 325 0.342383366049 Henry Cohn, 2026, needs more optimization.
15 326 0.342763627146 Henry Cohn, 2026, needs more optimization.
15 327 0.343118171046 Henry Cohn, 2026, needs more optimization.
15 328 0.343553997663 Henry Cohn, 2026, needs more optimization.
15 329 0.343822671432 Henry Cohn, 2026, needs more optimization.
15 330 0.344490235740 Henry Cohn, 2026, needs more optimization.
15 331 0.345417526684 Henry Cohn, 2026, needs more optimization.
15 332 0.345747505293 Henry Cohn, 2026, needs more optimization.
15 333 0.346506138395 Henry Cohn, 2026, needs more optimization.
15 334 0.347023011665 Henry Cohn, 2026, needs more optimization.
15 335 0.347219722152 Henry Cohn, 2026, needs more optimization.
15 336 0.347483306318 Henry Cohn, 2026, needs more optimization.
15 337 0.347852446195 Henry Cohn, 2026, needs more optimization.
15 338 0.348005678909 Henry Cohn, 2026, needs more optimization.
15 339 0.348174441098 Henry Cohn, 2026, needs more optimization.
15 340 0.348378806783 Henry Cohn, 2026, needs more optimization.
15 341 0.348556656647 Henry Cohn, 2026, needs more optimization.
15 342 0.348839668758 Henry Cohn, 2026, needs more optimization.
15 343 0.349073958025 Henry Cohn, 2026, needs more optimization.
15 344 0.349243962916 Henry Cohn, 2026, needs more optimization.
15 345 0.349404737281 Henry Cohn, 2026, needs more optimization.
15 346 0.349620067992 Henry Cohn, 2026, needs more optimization.
15 347 0.350153764145 Henry Cohn, 2026, needs more optimization.
15 348 0.350509694578 Henry Cohn, 2026, needs more optimization.
15 349 0.350849676406 Henry Cohn, 2026, needs more optimization.
15 350 0.351113336559 Henry Cohn, 2026, needs more optimization.
15 351 0.351307018938 Henry Cohn, 2026, needs more optimization.
15 352 0.351654476886 Henry Cohn, 2026, needs more optimization.
15 353 0.352031912943 Henry Cohn, 2026, needs more optimization.
15 354 0.352278941401 Henry Cohn, 2026, needs more optimization.
15 355 0.352551997037 Henry Cohn, 2026, needs more optimization.
15 356 0.352750187869 Henry Cohn, 2026, needs more optimization.
15 357 0.352952633169 Henry Cohn, 2026, needs more optimization.
15 358 0.353283354550 Henry Cohn, 2026, needs more optimization.
15 359 0.353529066781 Henry Cohn, 2026, needs more optimization.
15 360 0.353754720355 Henry Cohn, 2026, needs more optimization.
15 361 0.355587118057 Henry Cohn, 2026, needs more optimization.
15 362 0.355594932916 Henry Cohn, 2026, needs more optimization.
15 363 0.355602297442 Henry Cohn, 2026, needs more optimization.
15 364 0.355612237621 Henry Cohn, 2026, needs more optimization.
15 365 0.355620269147 Henry Cohn, 2026, needs more optimization.
15 366 0.355662643154 Henry Cohn, 2026, needs more optimization.
15 367 0.355673036863 Henry Cohn, 2026, needs more optimization.
15 368 0.355699276226 Henry Cohn, 2026, needs more optimization.
15 369 0.355719326907 Henry Cohn, 2026, needs more optimization.
15 370 0.355764803736 Henry Cohn, 2026, needs more optimization.
15 371 0.355807689879 Henry Cohn, 2026, needs more optimization.
15 372 0.355809657574 Henry Cohn, 2026, needs more optimization.
15 373 0.356647285813 Henry Cohn, 2026, needs more optimization.
15 374 0.356891449794 Henry Cohn, 2026, needs more optimization.
15 375 0.356936920301 Henry Cohn, 2026, needs more optimization.
15 376 0.359359891454 Henry Cohn, 2026, needs more optimization.
15 377 0.359380310192 Henry Cohn, 2026, needs more optimization.
15 378 0.359432300763 Henry Cohn, 2026, needs more optimization.
15 379 0.359823183200 Henry Cohn, 2026, needs more optimization.
15 380 0.360553296266 Henry Cohn, 2026, needs more optimization.
15 381 0.360788981154 Henry Cohn, 2026, needs more optimization.
15 382 0.360791597095 Henry Cohn, 2026, needs more optimization.
15 383 0.361527668335 Henry Cohn, 2026, needs more optimization.
15 384 0.362838792385 Henry Cohn, 2026, needs more optimization.
15 385 0.363090810025 Henry Cohn, 2026, needs more optimization.
15 386 0.363945327273 Henry Cohn, 2026, needs more optimization.
15 387 0.365228633081 Henry Cohn, 2026, needs more optimization.
15 388 0.365680242783 Henry Cohn, 2026, needs more optimization.
15 424 0.370431040067 Henry Cohn, 2026.
287⁢x2−190⁢x+31
15 425 0.371521340827 Henry Cohn, 2026, needs more optimization.
15 426 0.373112614823 Henry Cohn, 2026, needs more optimization.
15 427 0.373372890623 Henry Cohn, 2026, needs more optimization.
15 428 0.374922403664 Henry Cohn, 2026, needs more optimization.
15 429 0.374924008809 Henry Cohn, 2026, needs more optimization.
15 430 0.374924084614 Henry Cohn, 2026, needs more optimization.
15 431 0.374924835023 Henry Cohn, 2026, needs more optimization.
15 432 0.374925593552 Henry Cohn, 2026, needs more optimization.
15 433 0.374966200960 Henry Cohn, 2026, needs more optimization.
15 434 0.374966875602 Henry Cohn, 2026, needs more optimization.
15 435 0.376548700891 Henry Cohn, 2026, needs more optimization.
15 436 0.376549053402 Henry Cohn, 2026, needs more optimization.
15 437 0.376549817890 Henry Cohn, 2026, needs more optimization.
15 438 0.376551116264 Henry Cohn, 2026, needs more optimization.
15 439 0.376557063275 Henry Cohn, 2026, needs more optimization.
15 444 0.376577288246 Henry Cohn, 2026, needs more optimization.
15 445 0.376577374584 Henry Cohn, 2026, needs more optimization.
15 446 0.376578498939 Henry Cohn, 2026, needs more optimization.
15 447 0.376580705221 Henry Cohn, 2026, needs more optimization.
15 448 0.377001527587 Henry Cohn, 2026, needs more optimization.
15 449 0.377111895295 Henry Cohn, 2026, needs more optimization.
15 450 0.377114223379 Henry Cohn, 2026, needs more optimization.
15 451 0.377114597925 Henry Cohn, 2026, needs more optimization.
15 452 0.377114750513 Henry Cohn, 2026, needs more optimization.
15 453 0.386254179282 Henry Cohn, 2026, needs more optimization.
15 454 0.386324662108 Henry Cohn, 2026, needs more optimization.
15 455 0.386354620135 Henry Cohn, 2026, needs more optimization.
15 456 0.386356429668 Henry Cohn, 2026, needs more optimization.
15 457 0.386365352355 Henry Cohn, 2026, needs more optimization.
15 458 0.386370862687 Henry Cohn, 2026, needs more optimization.
15 459 0.386371821620 Henry Cohn, 2026, needs more optimization.
15 460 0.386372264001 Henry Cohn, 2026, needs more optimization.
15 461 0.386372585849 Henry Cohn, 2026, needs more optimization.
15 462 0.386373843961 Henry Cohn, 2026, needs more optimization.
15 463 0.386379153793 Henry Cohn, 2026, needs more optimization.
15 480 0.387504105641 Henry Cohn, 2026, needs more optimization.
15 481 0.390764934228 Henry Cohn, 2026, needs more optimization.
15 482 0.392826426975 Henry Cohn, 2026, needs more optimization.
15 483 0.392840831939 Henry Cohn, 2026, needs more optimization.
15 484 0.392850226070 Henry Cohn, 2026, needs more optimization.
15 485 0.392862526145 Henry Cohn, 2026, needs more optimization.
15 486 0.392874443182 Henry Cohn, 2026, needs more optimization.
15 487 0.392878205438 Henry Cohn, 2026, needs more optimization.
15 488 0.392908598810 Henry Cohn, 2026, needs more optimization.
15 489 0.392926407061 Henry Cohn, 2026, needs more optimization.
15 490 0.393059932895 Henry Cohn, 2026, needs more optimization.
15 491 0.393067380963 Henry Cohn, 2026, needs more optimization.
15 492 0.393143515374 Henry Cohn, 2026, needs more optimization.
15 493 0.393211821061 Henry Cohn, 2026, needs more optimization.
15 494 0.393235118906 Henry Cohn, 2026, needs more optimization.
15 495 0.393248805538 Henry Cohn, 2026, needs more optimization.
15 496 0.393325100815 Henry Cohn, 2026, needs more optimization.
15 497 0.393423424493 Henry Cohn, 2026, needs more optimization.
15 498 0.393430707786 Henry Cohn, 2026, needs more optimization.
15 499 0.393454516223 Henry Cohn, 2026, needs more optimization.
15 500 0.393466739225 Henry Cohn, 2026, needs more optimization.
15 501 0.393483243147 Henry Cohn, 2026, needs more optimization.
15 502 0.393527415857 Henry Cohn, 2026, needs more optimization.
15 503 0.393538698035 Henry Cohn, 2026, needs more optimization.
15 504 0.393558423792 Henry Cohn, 2026, needs more optimization.
15 505 0.393589404952 Henry Cohn, 2026, needs more optimization.
15 506 0.393718484167 Henry Cohn, 2026, needs more optimization.
15 507 0.393803138352 Henry Cohn, 2026, needs more optimization.
15 508 0.393878651555 Henry Cohn, 2026, needs more optimization.
15 509 0.394254633116 Henry Cohn, 2026, needs more optimization.
15 510 0.394639088730 Henry Cohn, 2026, needs more optimization.
15 511 0.394968883854 Henry Cohn, 2026, needs more optimization.
15 512 0.394988017510 Henry Cohn, 2026, needs more optimization.
15 513 0.395198365953 Henry Cohn, 2026, needs more optimization.
15 514 0.395542229370 Henry Cohn, 2026, needs more optimization.
15 515 0.395636187843 Henry Cohn, 2026, needs more optimization.
15 516 0.395658087743 Henry Cohn, 2026, needs more optimization.
15 517 0.396052373246 Henry Cohn, 2026, needs more optimization.
15 518 0.396414199055 Henry Cohn, 2026, needs more optimization.
15 519 0.396484340240 Henry Cohn, 2026, needs more optimization.
15 520 0.396603334464 Henry Cohn, 2026, needs more optimization.
15 521 0.396880167266 Henry Cohn, 2026, needs more optimization.
15 522 0.397110582087 Henry Cohn, 2026, needs more optimization.
15 523 0.397420682052 Henry Cohn, 2026, needs more optimization.
15 524 0.397604029654 Henry Cohn, 2026, needs more optimization.
15 525 0.397698213440 Henry Cohn, 2026, needs more optimization.
15 526 0.397767142374 Henry Cohn, 2026, needs more optimization.
15 527 0.397834095626 Henry Cohn, 2026, needs more optimization.
15 528 0.398017630664 Henry Cohn, 2026, needs more optimization.
15 529 0.398198367419 Henry Cohn, 2026, needs more optimization.
15 530 0.398307812016 Henry Cohn, 2026, needs more optimization.
15 532 0.398316974606 Henry Cohn, 2026, needs more optimization.
15 533 0.398479021818 Henry Cohn, 2026, needs more optimization.
15 534 0.398715923933 Henry Cohn, 2026, needs more optimization.
15 535 0.398854205752 Henry Cohn, 2026, needs more optimization.
15 536 0.398945377010 Henry Cohn, 2026, needs more optimization.
15 538 0.399181784115 Henry Cohn, 2026, needs more optimization.
15 539 0.399212920006 Henry Cohn, 2026, needs more optimization.
15 540 0.399255048795 Henry Cohn, 2026, needs more optimization.
15 541 0.399505120587 Henry Cohn, 2026, needs more optimization.
15 542 0.399628529381 Henry Cohn, 2026, needs more optimization.
15 543 0.399837245024 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.
15 690 0.407439006131 Henry Cohn, 2026, needs more optimization.
15 691 0.410995487150 Henry Cohn, 2026, needs more optimization.
15 692 0.413603537143 Henry Cohn, 2026, needs more optimization.
15 694 0.414666868435 Henry Cohn, 2026, needs more optimization.
15 695 0.415977003121 Henry Cohn, 2026, needs more optimization.
15 696 0.416268790046 Henry Cohn, 2026, needs more optimization.
15 697 0.417439175254 Henry Cohn, 2026, needs more optimization.
15 698 0.417445671295 Henry Cohn, 2026, needs more optimization.
15 700 0.417759922467 Henry Cohn, 2026, needs more optimization.
15 701 0.418075791678 Henry Cohn, 2026, needs more optimization.
15 702 0.418633984330 Henry Cohn, 2026, needs more optimization.
15 703 0.418687474405 Henry Cohn, 2026, needs more optimization.
15 704 0.419197376045 Henry Cohn, 2026, needs more optimization.
15 705 0.419266223320 Henry Cohn, 2026, needs more optimization.
15 706 0.419675673493 Henry Cohn, 2026, needs more optimization.
15 707 0.420437847787 Henry Cohn, 2026, needs more optimization.
15 708 0.420999008081 Henry Cohn, 2026, needs more optimization.
15 709 0.421187726095 Henry Cohn, 2026, needs more optimization.
15 710 0.421220579674 Henry Cohn, 2026, needs more optimization.
15 712 0.421235591307 Henry Cohn, 2026, needs more optimization.
15 713 0.421454395805 Henry Cohn, 2026, needs more optimization.
15 714 0.421456471387 Henry Cohn, 2026, needs more optimization.
15 715 0.421611850299 Henry Cohn, 2026, needs more optimization.
15 716 0.421825515925 Henry Cohn, 2026, needs more optimization.
15 717 0.422140327002 Henry Cohn, 2026, needs more optimization.
15 718 0.422352798654 Henry Cohn, 2026, needs more optimization.
15 719 0.422643962572 Henry Cohn, 2026, needs more optimization.
15 720 0.422847000156 Henry Cohn, 2026, needs more optimization.
15 721 0.423027851561 Henry Cohn, 2026, needs more optimization.
15 722 0.423263817380 Henry Cohn, 2026, needs more optimization.
15 723 0.423578807409 Henry Cohn, 2026, needs more optimization.
15 724 0.423851059659 Henry Cohn, 2026, needs more optimization.
15 725 0.424191778445 Henry Cohn, 2026, needs more optimization.
15 726 0.424357769050 Henry Cohn, 2026, needs more optimization.
15 727 0.424535363434 Henry Cohn, 2026, needs more optimization.
15 728 0.424741434689 Henry Cohn, 2026, needs more optimization.
15 729 0.425056383909 Henry Cohn, 2026, needs more optimization.
15 730 0.425148274975 Henry Cohn, 2026, needs more optimization.
15 731 0.425340365129 Henry Cohn, 2026, needs more optimization.
15 732 0.425492991503 Henry Cohn, 2026, needs more optimization.
15 733 0.425650989656 Henry Cohn, 2026, needs more optimization.
15 734 0.425835846817 Henry Cohn, 2026, needs more optimization.
15 735 0.426024737453 Henry Cohn, 2026, needs more optimization.
15 736 0.426119545145 Henry Cohn, 2026, needs more optimization.
15 737 0.426467172390 Henry Cohn, 2026, needs more optimization.
15 738 0.426669541436 Henry Cohn, 2026, needs more optimization.
15 739 0.426779691604 Henry Cohn, 2026, needs more optimization.
15 740 0.427054459077 Henry Cohn, 2026, needs more optimization.
15 741 0.427300387772 Henry Cohn, 2026, needs more optimization.
15 742 0.427413801302 Henry Cohn, 2026, needs more optimization.
15 743 0.427634307590 Henry Cohn, 2026, needs more optimization.
15 744 0.427696064519 Henry Cohn, 2026, needs more optimization.
15 745 0.427873721592 Henry Cohn, 2026, needs more optimization.
15 746 0.427981176504 Henry Cohn, 2026, needs more optimization.
15 747 0.428147905913 Henry Cohn, 2026, needs more optimization.
15 748 0.428345124081 Henry Cohn, 2026, needs more optimization.
15 749 0.428536554402 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 0.439580231370 Henry Cohn, 2026, needs more optimization.
15 992 0.454609557998 Henry Cohn, 2026, needs more optimization.
15 995 0.454618636024 Henry Cohn, 2026, needs more optimization.
15 1001 0.454643462539 Henry Cohn, 2026, needs more optimization.
15 1008 0.454675159605 Henry Cohn, 2026, needs more optimization.
15 1013 0.454754379459 Henry Cohn, 2026, needs more optimization.
15 1014 0.454788465687 Henry Cohn, 2026, needs more optimization.
15 1018 0.454846980148 Henry Cohn, 2026, needs more optimization.
15 1019 0.454849831897 Henry Cohn, 2026, needs more optimization.
15 1021 0.454870255246 Henry Cohn, 2026, needs more optimization.
15 1022 0.454944092149 Henry Cohn, 2026, needs more optimization.
15 1023 0.454956921972 Henry Cohn, 2026, needs more optimization.
15 1024 0.454977519070 Henry Cohn, 2026, needs more optimization.
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 0.085112299907 Henry Cohn, 2025.
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 0.095440859515 Henry Cohn, 2025.
16 47 0.097443031003 Henry Cohn, 2025.
16 48 0.098771717854 Henry Cohn, 2023.
143⁢x2−4⁢x−1
16 49 0.105254154031 Henry Cohn, 2025.
16 50 0.108974791166 Henry Cohn, 2026.
16 51 0.111198306019 Henry Cohn, 2025.
16 52 0.111567586034 Henry Cohn, 2026.
16 54 0.112897448890 Henry Cohn, 2026.
16 55 0.113130733100 Henry Cohn, 2026, needs more optimization.
16 58 0.113835450316 Henry Cohn, 2026.
288⁢x2−24⁢x−1
16 59 0.115469713108 Henry Cohn, 2026, needs more optimization.
16 60 0.115470049065 Henry Cohn, 2026, needs more optimization.
16 61 0.119371454413 Henry Cohn, 2025.
16 62 0.125768177302 Henry Cohn, 2025.
16 74 0.127284656799 Henry Cohn, 2023.
156⁢x2−12⁢x−1
16 75 0.142353045267 Henry Cohn, 2026, needs more optimization.
16 76 0.155973841389 Henry Cohn, 2026, needs more optimization.
16 77 0.156184626209 Henry Cohn, 2026, needs more optimization.
16 78 0.156332941369 Henry Cohn, 2026, needs more optimization.
16 79 0.156685164565 Henry Cohn, 2026, needs more optimization.
16 80 0.156933594050 Henry Cohn, 2026, needs more optimization.
16 81 0.157231031352 Henry Cohn, 2026, needs more optimization.
16 82 0.158312309845 Henry Cohn, 2026, needs more optimization.
16 83 0.158831583919 Henry Cohn, 2026, needs more optimization.
16 84 0.159473252852 Henry Cohn, 2026, needs more optimization.
16 85 0.161142843909 Henry Cohn, 2026, needs more optimization.
16 88 0.168668499420 Henry Cohn, 2025, needs more optimization.
16 89 0.168683597982 Henry Cohn, 2026, needs more optimization.
16 90 0.168684111462 Henry Cohn, 2026, needs more optimization.
16 92 0.168684604646 Henry Cohn, 2025, needs more optimization.
16 94 0.168684943107 Henry Cohn, 2025, needs more optimization.
16 95 0.168685647441 Henry Cohn, 2026, needs more optimization.
16 96 0.168685666299 Henry Cohn, 2026, needs more optimization.
16 97 0.169880683941 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.
16 104 0.179205976062 Henry Cohn, 2026, needs more optimization.
16 105 0.183417975164 Henry Cohn, 2026, needs more optimization.
16 106 0.185874805614 Henry Cohn, 2026, needs more optimization.
16 107 0.188007787992 Henry Cohn, 2026, needs more optimization.
16 108 0.191292637372 Henry Cohn, 2026, needs more optimization.
16 109 0.191600377504 Henry Cohn, 2026, needs more optimization.
16 110 0.192354699119 Henry Cohn, 2026, needs more optimization.
16 111 0.192383845859 Henry Cohn, 2026, needs more optimization.
16 117 0.192450089730 Henry Cohn, 2026.
27⁢x2−1
16 118 0.192450185263 Henry Cohn, 2026, needs more optimization.
16 119 0.198884094973 Henry Cohn, 2026, needs more optimization.
16 120 0.199966090992 Henry Cohn, 2026, needs more optimization.
16 122 0.199966090996 Henry Cohn, 2026, needs more optimization.
16 123 0.199988971320 Henry Cohn, 2026, needs more optimization.
16 124 0.199989165732 Henry Cohn, 2026, needs more optimization.
16 125 0.199994688491 Henry Cohn, 2026, needs more optimization.
16 126 0.199994689891 Henry Cohn, 2026, needs more optimization.
16 127 0.199995845425 Henry Cohn, 2025, needs more optimization.
16 130 0.199999918321 Henry Cohn, 2025, needs more optimization.
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 0.204975401740 Henry Cohn, 2026, needs more optimization.
16 161 0.221700301322 Henry Cohn, 2026, needs more optimization.
16 162 0.229553464991 Henry Cohn, 2026, needs more optimization.
16 163 0.233423687584 Henry Cohn, 2026, needs more optimization.
16 164 0.236099339164 Henry Cohn, 2026, needs more optimization.
16 165 0.237943434745 Henry Cohn, 2026, needs more optimization.
16 166 0.239559472920 Henry Cohn, 2026, needs more optimization.
16 167 0.240781779791 Henry Cohn, 2026, needs more optimization.
16 168 0.242156927485 Henry Cohn, 2026, needs more optimization.
16 169 0.242983890500 Henry Cohn, 2026, needs more optimization.
16 170 0.243669927384 Henry Cohn, 2026, needs more optimization.
16 171 0.243673081688 Henry Cohn, 2026, needs more optimization.
16 172 0.243774126503 Henry Cohn, 2026, needs more optimization.
16 173 0.244213790920 Henry Cohn, 2026, needs more optimization.
16 174 0.245065676604 Henry Cohn, 2026, needs more optimization.
16 175 0.245777962498 Henry Cohn, 2026, needs more optimization.
16 176 0.246310727889 Henry Cohn, 2026, needs more optimization.
16 177 0.246660050013 Henry Cohn, 2026, needs more optimization.
16 178 0.247132745341 Henry Cohn, 2026, needs more optimization.
16 179 0.247496127399 Henry Cohn, 2026, needs more optimization.
16 180 0.248255762751 Henry Cohn, 2026, needs more optimization.
16 181 0.248714274356 Henry Cohn, 2026, needs more optimization.
16 182 0.248846518954 Henry Cohn, 2026, needs more optimization.
16 183 0.249103990267 Henry Cohn, 2026, needs more optimization.
16 184 0.249247558594 Henry Cohn, 2026, needs more optimization.
16 185 0.249467081842 Henry Cohn, 2026, needs more optimization.
16 186 0.249490952433 Henry Cohn, 2026, needs more optimization.
16 187 0.249493954680 Henry Cohn, 2026, needs more optimization.
16 188 0.249530407021 Henry Cohn, 2026, needs more optimization.
16 189 0.249713994294 Henry Cohn, 2026, needs more optimization.
16 190 0.249820164375 Henry Cohn, 2026, needs more optimization.
16 191 0.249830500896 Henry Cohn, 2026, needs more optimization.
16 192 0.249856281563 Henry Cohn, 2026, needs more optimization.
16 193 0.249868988674 Henry Cohn, 2026, needs more optimization.
16 194 0.249895069213 Henry Cohn, 2026, needs more optimization.
16 195 0.249902387437 Henry Cohn, 2026, needs more optimization.
16 196 0.249928286475 Henry Cohn, 2026, needs more optimization.
16 197 0.249964346791 Henry Cohn, 2026, needs more optimization.
16 198 0.249972066872 Henry Cohn, 2026, needs more optimization.
16 199 0.249979888452 Henry Cohn, 2026, needs more optimization.
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 0.286352474125 Henry Cohn, 2026, needs more optimization.
16 290 0.292095925670 Henry Cohn, 2026, needs more optimization.
16 291 0.296220914396 Henry Cohn, 2026, needs more optimization.
16 292 0.297875058512 Henry Cohn, 2026, needs more optimization.
16 293 0.299923914298 Henry Cohn, 2026, needs more optimization.
16 294 0.301958513383 Henry Cohn, 2026, needs more optimization.
16 295 0.304832524858 Henry Cohn, 2026, needs more optimization.
16 296 0.306634827930 Henry Cohn, 2026, needs more optimization.
16 297 0.308192678778 Henry Cohn, 2026, needs more optimization.
16 298 0.309533517648 Henry Cohn, 2026, needs more optimization.
16 299 0.311036559027 Henry Cohn, 2026, needs more optimization.
16 300 0.312028247121 Henry Cohn, 2026, needs more optimization.
16 301 0.313922031649 Henry Cohn, 2026, needs more optimization.
16 302 0.315070233748 Henry Cohn, 2026, needs more optimization.
16 303 0.316348433040 Henry Cohn, 2026, needs more optimization.
16 304 0.317539990086 Henry Cohn, 2026, needs more optimization.
16 305 0.318703703172 Henry Cohn, 2026, needs more optimization.
16 306 0.319659742222 Henry Cohn, 2026, needs more optimization.
16 307 0.320742072833 Henry Cohn, 2026, needs more optimization.
16 308 0.321751104855 Henry Cohn, 2026, needs more optimization.
16 309 0.323023204532 Henry Cohn, 2026, needs more optimization.
16 310 0.323636609361 Henry Cohn, 2026, needs more optimization.
16 311 0.324568309264 Henry Cohn, 2026, needs more optimization.
16 312 0.325097210408 Henry Cohn, 2026, needs more optimization.
16 313 0.325966953809 Henry Cohn, 2026, needs more optimization.
16 314 0.326787846281 Henry Cohn, 2026, needs more optimization.
16 315 0.327158439267 Henry Cohn, 2026, needs more optimization.
16 316 0.327208547604 Henry Cohn, 2026, needs more optimization.
16 317 0.327466068576 Henry Cohn, 2026, needs more optimization.
16 318 0.327487585968 Henry Cohn, 2026, needs more optimization.
16 319 0.327518458470 Henry Cohn, 2026, needs more optimization.
16 320 0.327556849365 Henry Cohn, 2026, needs more optimization.
16 321 0.327677277461 Henry Cohn, 2026, needs more optimization.
16 322 0.327755872245 Henry Cohn, 2026, needs more optimization.
16 323 0.328031696201 Henry Cohn, 2026, needs more optimization.
16 324 0.328129859660 Henry Cohn, 2026, needs more optimization.
16 325 0.328365556186 Henry Cohn, 2026, needs more optimization.
16 326 0.328409643244 Henry Cohn, 2026, needs more optimization.
16 327 0.328650643383 Henry Cohn, 2026, needs more optimization.
16 328 0.328690526767 Henry Cohn, 2026, needs more optimization.
16 329 0.328814691690 Henry Cohn, 2026, needs more optimization.
16 330 0.328865464077 Henry Cohn, 2026, needs more optimization.
16 340 0.328947368422 Henry Cohn, 2026.
76⁢x−25
16 341 0.330383343326 Henry Cohn, 2026, needs more optimization.
16 342 0.330474580962 Henry Cohn, 2026, needs more optimization.
16 343 0.330512638472 Henry Cohn, 2026, needs more optimization.
16 344 0.330694605163 Henry Cohn, 2026, needs more optimization.
16 345 0.330769242421 Henry Cohn, 2026, needs more optimization.
16 346 0.330852027903 Henry Cohn, 2026, needs more optimization.
16 347 0.330902505768 Henry Cohn, 2026, needs more optimization.
16 348 0.330940806808 Henry Cohn, 2026, needs more optimization.
16 349 0.331088181925 Henry Cohn, 2026, needs more optimization.
16 350 0.331144492525 Henry Cohn, 2026, needs more optimization.
16 351 0.331174461253 Henry Cohn, 2026, needs more optimization.
16 352 0.331397342085 Henry Cohn, 2026, needs more optimization.
16 353 0.331442083577 Henry Cohn, 2026, needs more optimization.
16 354 0.331578729130 Henry Cohn, 2026, needs more optimization.
16 355 0.331720326188 Henry Cohn, 2026, needs more optimization.
16 356 0.331845610165 Henry Cohn, 2026, needs more optimization.
16 357 0.332018184822 Henry Cohn, 2026, needs more optimization.
16 358 0.332127556825 Henry Cohn, 2026, needs more optimization.
16 359 0.332151190356 Henry Cohn, 2026, needs more optimization.
16 360 0.332327665294 Henry Cohn, 2026, needs more optimization.
16 361 0.332555554734 Henry Cohn, 2026, needs more optimization.
16 362 0.332606840701 Henry Cohn, 2026, needs more optimization.
16 363 0.332767203500 Henry Cohn, 2026, needs more optimization.
16 364 0.332809906895 Henry Cohn, 2026, needs more optimization.
16 365 0.332966525201 Henry Cohn, 2026, needs more optimization.
16 366 0.333051212438 Henry Cohn, 2026, needs more optimization.
16 367 0.333063547752 Henry Cohn, 2026, needs more optimization.
16 368 0.333085010718 Henry Cohn, 2026, needs more optimization.
16 369 0.333207703136 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 0.350817260470 Henry Cohn, 2026, needs more optimization.
16 514 0.351251440933 Henry Cohn, 2026, needs more optimization.
16 515 0.352947032165 Henry Cohn, 2026, needs more optimization.
16 516 0.356588863610 Henry Cohn, 2026, needs more optimization.
16 517 0.357875049357 Henry Cohn, 2026, needs more optimization.
16 518 0.358537068363 Henry Cohn, 2026, needs more optimization.
16 519 0.358907812510 Henry Cohn, 2026, needs more optimization.
16 520 0.359971324298 Henry Cohn, 2026, needs more optimization.
16 521 0.360671293670 Henry Cohn, 2026, needs more optimization.
16 522 0.360865179537 Henry Cohn, 2026, needs more optimization.
16 523 0.361265013397 Henry Cohn, 2026, needs more optimization.
16 524 0.362589735422 Henry Cohn, 2026, needs more optimization.
16 525 0.363017183747 Henry Cohn, 2026, needs more optimization.
16 526 0.363491770565 Henry Cohn, 2026, needs more optimization.
16 527 0.364021708931 Henry Cohn, 2026, needs more optimization.
16 528 0.364565717069 Henry Cohn, 2026, needs more optimization.
16 529 0.365220370576 Henry Cohn, 2026, needs more optimization.
16 530 0.365521476847 Henry Cohn, 2026, needs more optimization.
16 531 0.365852748580 Henry Cohn, 2026, needs more optimization.
16 532 0.366446727385 Henry Cohn, 2026, needs more optimization.
16 533 0.366988724442 Henry Cohn, 2026, needs more optimization.
16 534 0.367440478285 Henry Cohn, 2026, needs more optimization.
16 535 0.367833381571 Henry Cohn, 2026, needs more optimization.
16 536 0.368181686116 Henry Cohn, 2026, needs more optimization.
16 537 0.368749069587 Henry Cohn, 2026, needs more optimization.
16 538 0.369143923175 Henry Cohn, 2026, needs more optimization.
16 567 0.369248411466 Henry Cohn, 2026.
29⁢x2−8⁢x−1
16 568 0.379714445175 Henry Cohn, 2026, needs more optimization.
16 569 0.383091130384 Henry Cohn, 2026, needs more optimization.
16 570 0.384386191885 Henry Cohn, 2026, needs more optimization.
16 571 0.385298306145 Henry Cohn, 2026, needs more optimization.
16 572 0.386096131313 Henry Cohn, 2026, needs more optimization.
16 573 0.387021221625 Henry Cohn, 2026, needs more optimization.
16 574 0.387699923313 Henry Cohn, 2026, needs more optimization.
16 575 0.388302495740 Henry Cohn, 2026, needs more optimization.
16 576 0.389202905406 Henry Cohn, 2026, needs more optimization.
16 577 0.389664386359 Henry Cohn, 2026, needs more optimization.
16 578 0.389786416828 Henry Cohn, 2026, needs more optimization.
16 579 0.390386956834 Henry Cohn, 2026, needs more optimization.
16 580 0.390984500672 Henry Cohn, 2026, needs more optimization.
16 581 0.391425801482 Henry Cohn, 2026, needs more optimization.
16 582 0.391769961381 Henry Cohn, 2026, needs more optimization.
16 583 0.392170375377 Henry Cohn, 2026, needs more optimization.
16 680 0.392857142858 Henry Cohn, 2026.
28⁢x−11
16 681 0.394879810380 Henry Cohn, 2026, needs more optimization.
16 682 0.395907040671 Henry Cohn, 2026, needs more optimization.
16 683 0.396409081553 Henry Cohn, 2026, needs more optimization.
16 684 0.396851567743 Henry Cohn, 2026, needs more optimization.
16 685 0.397222565826 Henry Cohn, 2026, needs more optimization.
16 686 0.397563982390 Henry Cohn, 2026, needs more optimization.
16 687 0.397747863121 Henry Cohn, 2026, needs more optimization.
16 688 0.397923966542 Henry Cohn, 2026, needs more optimization.
16 689 0.398220721469 Henry Cohn, 2026, needs more optimization.
16 690 0.398419642600 Henry Cohn, 2026, needs more optimization.
16 691 0.398594711610 Henry Cohn, 2026, needs more optimization.
16 692 0.398778731937 Henry Cohn, 2026, needs more optimization.
16 693 0.398945069374 Henry Cohn, 2026, needs more optimization.
16 694 0.399115856241 Henry Cohn, 2026, needs more optimization.
16 695 0.399383851977 Henry Cohn, 2026, needs more optimization.
16 696 0.399592402525 Henry Cohn, 2026, needs more optimization.
16 697 0.399709521658 Henry Cohn, 2026, needs more optimization.
16 698 0.399787172546 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
16 770 0.404117037748 Henry Cohn, 2026, needs more optimization.
16 771 0.405963539123 Henry Cohn, 2026, needs more optimization.
16 772 0.406002261302 Henry Cohn, 2026, needs more optimization.
16 773 0.406090620782 Henry Cohn, 2026, needs more optimization.
16 775 0.406141228998 Henry Cohn, 2026, needs more optimization.
16 777 0.406301081070 Henry Cohn, 2026, needs more optimization.
16 778 0.406313027121 Henry Cohn, 2026, needs more optimization.
16 779 0.406346763663 Henry Cohn, 2026, needs more optimization.
16 780 0.406356016487 Henry Cohn, 2026, needs more optimization.
16 781 0.406513522752 Henry Cohn, 2026, needs more optimization.
16 782 0.407434615993 Henry Cohn, 2026, needs more optimization.
16 783 0.407883989861 Henry Cohn, 2026, needs more optimization.
16 785 0.407987290068 Henry Cohn, 2026, needs more optimization.
16 787 0.408018893543 Henry Cohn, 2026, needs more optimization.
16 788 0.408799904082 Henry Cohn, 2026, needs more optimization.
16 789 0.408928358885 Henry Cohn, 2026, needs more optimization.
16 790 0.408988017466 Henry Cohn, 2026, needs more optimization.
16 791 0.409190983140 Henry Cohn, 2026, needs more optimization.
16 792 0.409277447378 Henry Cohn, 2026, needs more optimization.
16 795 0.409723965996 Henry Cohn, 2026, needs more optimization.
16 796 0.410149216887 Henry Cohn, 2026, needs more optimization.
16 800 0.410253905125 Henry Cohn, 2026, needs more optimization.
16 801 0.410625102669 Henry Cohn, 2026, needs more optimization.
16 802 0.410788207799 Henry Cohn, 2026, needs more optimization.
16 804 0.411002185486 Henry Cohn, 2026, needs more optimization.
16 805 0.411107234315 Henry Cohn, 2026, needs more optimization.
16 806 0.411473570433 Henry Cohn, 2026, needs more optimization.
16 807 0.411528229423 Henry Cohn, 2026, needs more optimization.
16 808 0.411645796822 Henry Cohn, 2026, needs more optimization.
16 809 0.411744479024 Henry Cohn, 2026, needs more optimization.
16 811 0.411853498754 Henry Cohn, 2026, needs more optimization.
16 813 0.411922815592 Henry Cohn, 2026, needs more optimization.
16 814 0.414486726803 Henry Cohn, 2026, needs more optimization.
16 823 0.414526571449 Henry Cohn, 2026, needs more optimization.
16 827 0.414718079524 Henry Cohn, 2026, needs more optimization.
16 828 0.414725821138 Henry Cohn, 2026, needs more optimization.
16 830 0.414830396588 Henry Cohn, 2026, needs more optimization.
16 831 0.414888605399 Henry Cohn, 2026, needs more optimization.
16 832 0.414958633880 Henry Cohn, 2026, needs more optimization.
16 833 0.415068992426 Henry Cohn, 2026, needs more optimization.
16 834 0.423354365464 Henry Cohn, 2026, needs more optimization.
16 835 0.423499231710 Henry Cohn, 2026, needs more optimization.
16 836 0.423643491830 Henry Cohn, 2026, needs more optimization.
16 877 0.423728813560 Henry Cohn, 2026.
59⁢x−25
16 878 0.425519981495 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 0.064964413617 Henry Cohn, 2025.
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 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 0.124823699080 Henry Cohn, 2026.
17 67 0.127087890038 Henry Cohn, 2026.
17 68 0.127214003590 Henry Cohn, 2026, needs more optimization.
17 69 0.127241105668 Henry Cohn, 2026.
17 71 0.127270310008 Henry Cohn, 2025.
17 74 0.127284404862 Henry Cohn, 2025.
17 76 0.127284594471 Henry Cohn, 2025.
17 77 0.127303652497 Henry Cohn, 2026, needs more optimization.
17 78 0.135230868852 Henry Cohn, 2026, needs more optimization.
17 79 0.142557693199 Henry Cohn, 2026, needs more optimization.
17 80 0.147987559048 Henry Cohn, 2026, needs more optimization.
17 86 0.15 Henry Cohn, 2026.
20⁢x−3
17 87 0.151340636758 Henry Cohn, 2026, needs more optimization.
17 88 0.156560456056 Henry Cohn, 2026, needs more optimization.
17 89 0.158629733399 Henry Cohn, 2026, needs more optimization.
17 90 0.165410471672 Henry Cohn, 2026, needs more optimization.
17 91 0.167225196650 Henry Cohn, 2026, needs more optimization.
17 92 0.167349745040 Henry Cohn, 2026, needs more optimization.
17 93 0.167562624537 Henry Cohn, 2026, needs more optimization.
17 94 0.167892723246 Henry Cohn, 2026, needs more optimization.
17 95 0.168041877478 Henry Cohn, 2026, needs more optimization.
17 96 0.168354988168 Henry Cohn, 2026, needs more optimization.
17 97 0.168538228805 Henry Cohn, 2026, needs more optimization.
17 98 0.168603491172 Henry Cohn, 2026, needs more optimization.
17 99 0.168672903134 Henry Cohn, 2026, needs more optimization.
17 100 0.168675190337 Henry Cohn, 2026, needs more optimization.
17 101 0.168690039352 Henry Cohn, 2026, needs more optimization.
17 102 0.170743404074 Henry Cohn, 2026, needs more optimization.
17 104 0.170751369934 Henry Cohn, 2026, needs more optimization.
17 105 0.170751990216 Henry Cohn, 2026, needs more optimization.
17 106 0.170751990218 Henry Cohn, 2026, needs more optimization.
17 107 0.170761751944 Henry Cohn, 2026, needs more optimization.
17 108 0.175086042960 Henry Cohn, 2026, needs more optimization.
17 109 0.179936751116 Henry Cohn, 2026, needs more optimization.
17 110 0.180296150348 Henry Cohn, 2026, needs more optimization.
17 111 0.182493556396 Henry Cohn, 2026, needs more optimization.
17 115 0.184252183279 Henry Cohn, 2026.
17 116 0.184847526058 Henry Cohn, 2026, needs more optimization.
17 117 0.186673609764 Henry Cohn, 2026, needs more optimization.
17 118 0.190910319598 Henry Cohn, 2026, needs more optimization.
17 119 0.191894554206 Henry Cohn, 2026, needs more optimization.
17 120 0.192193534430 Henry Cohn, 2026, needs more optimization.
17 121 0.192294195008 Henry Cohn, 2026, needs more optimization.
17 122 0.192377889101 Henry Cohn, 2026, needs more optimization.
17 123 0.192451522909 Henry Cohn, 2026, needs more optimization.
17 124 0.192971742420 Henry Cohn, 2026, needs more optimization.
17 125 0.192983442107 Henry Cohn, 2026, needs more optimization.
17 126 0.197432709152 Henry Cohn, 2026, needs more optimization.
17 127 0.197627111395 Henry Cohn, 2026, needs more optimization.
17 128 0.197712659098 Henry Cohn, 2026, needs more optimization.
17 129 0.198370062114 Henry Cohn, 2026, needs more optimization.
17 130 0.198645162686 Henry Cohn, 2026, needs more optimization.
17 131 0.199011142954 Henry Cohn, 2026, needs more optimization.
17 132 0.199042801579 Henry Cohn, 2026, needs more optimization.
17 133 0.199676840508 Henry Cohn, 2026, needs more optimization.
17 134 0.199819859612 Henry Cohn, 2026, needs more optimization.
17 135 0.199938712865 Henry Cohn, 2026, needs more optimization.
17 136 0.199980113924 Henry Cohn, 2026, needs more optimization.
17 137 0.200002057960 Henry Cohn, 2026, needs more optimization.
17 138 0.200124614963 Henry Cohn, 2026, needs more optimization.
17 139 0.200190744510 Henry Cohn, 2026, needs more optimization.
17 140 0.200345641388 Henry Cohn, 2026, needs more optimization.
17 141 0.202821778932 Henry Cohn, 2026, needs more optimization.
17 142 0.202853642986 Henry Cohn, 2026, needs more optimization.
17 143 0.202863811415 Henry Cohn, 2026, needs more optimization.
17 144 0.202885169604 Henry Cohn, 2026, needs more optimization.
17 148 0.202893418199 Henry Cohn, 2026, needs more optimization.
17 150 0.202896008575 Henry Cohn, 2026, needs more optimization.
17 151 0.202899805483 Henry Cohn, 2026, needs more optimization.
17 152 0.202912843740 Henry Cohn, 2026, needs more optimization.
17 161 0.202913709779 Code with 159 points in 16 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.
44⁢x2−4⁢x−1
17 162 0.202913709779 Henry Cohn, 2026.
44⁢x2−4⁢x−1
17 163 0.202915733910 Henry Cohn, 2026, needs more optimization.
17 164 0.202921018479 Henry Cohn, 2026, needs more optimization.
17 165 0.203273828458 Henry Cohn, 2026, needs more optimization.
17 167 0.209702108524 Henry Cohn, 2026, needs more optimization.
17 168 0.209702108526 Henry Cohn, 2026, needs more optimization.
17 177 0.214580576913 Henry Cohn, 2026.
59⁢x2−8⁢x−1
17 178 0.215894286370 Henry Cohn, 2026, needs more optimization.
17 179 0.223840974967 Henry Cohn, 2026, needs more optimization.
17 180 0.224788883908 Henry Cohn, 2026, needs more optimization.
17 181 0.227669966811 Henry Cohn, 2026, needs more optimization.
17 188 0.228481712325 Henry Cohn, 2026.
17 192 0.228757976713 Henry Cohn, 2026, needs more optimization.
17 193 0.233323457539 Henry Cohn, 2026, needs more optimization.
17 194 0.234631226998 Henry Cohn, 2026, needs more optimization.
17 195 0.236884272729 Henry Cohn, 2026, needs more optimization.
17 196 0.237316066500 Henry Cohn, 2026, needs more optimization.
17 197 0.238449874109 Henry Cohn, 2026, needs more optimization.
17 198 0.239225664757 Henry Cohn, 2026, needs more optimization.
17 199 0.240178547491 Henry Cohn, 2026, needs more optimization.
17 200 0.242008405144 Henry Cohn, 2026, needs more optimization.
17 201 0.242237581127 Henry Cohn, 2026, needs more optimization.
17 202 0.242886568472 Henry Cohn, 2026, needs more optimization.
17 203 0.243662093904 Henry Cohn, 2026, needs more optimization.
17 204 0.243838771746 Henry Cohn, 2026, needs more optimization.
17 205 0.244525508660 Henry Cohn, 2026, needs more optimization.
17 206 0.244543986332 Henry Cohn, 2026, needs more optimization.
17 207 0.244828742733 Henry Cohn, 2026, needs more optimization.
17 208 0.244963471087 Henry Cohn, 2026, needs more optimization.
17 209 0.245160851378 Henry Cohn, 2026, needs more optimization.
17 210 0.245838066197 Henry Cohn, 2026, needs more optimization.
17 211 0.246210124854 Henry Cohn, 2026, needs more optimization.
17 212 0.246496065299 Henry Cohn, 2026, needs more optimization.
17 213 0.246559865396 Henry Cohn, 2026, needs more optimization.
17 214 0.246948367915 Henry Cohn, 2026, needs more optimization.
17 215 0.247293536285 Henry Cohn, 2026, needs more optimization.
17 216 0.247412941739 Henry Cohn, 2026, needs more optimization.
17 217 0.247584589770 Henry Cohn, 2026, needs more optimization.
17 218 0.247865298023 Henry Cohn, 2026, needs more optimization.
17 219 0.248141133638 Henry Cohn, 2026, needs more optimization.
17 220 0.248256084986 Henry Cohn, 2026, needs more optimization.
17 221 0.248424478818 Henry Cohn, 2026, needs more optimization.
17 222 0.248531969863 Henry Cohn, 2026, needs more optimization.
17 223 0.248755972652 Henry Cohn, 2026, needs more optimization.
17 224 0.249060211765 Henry Cohn, 2026, needs more optimization.
17 225 0.249132652196 Henry Cohn, 2026, needs more optimization.
17 226 0.249296673345 Henry Cohn, 2026, needs more optimization.
17 227 0.249309570189 Henry Cohn, 2026, needs more optimization.
17 228 0.249324770936 Henry Cohn, 2026, needs more optimization.
17 229 0.249405427577 Henry Cohn, 2026, needs more optimization.
17 230 0.249479996450 Henry Cohn, 2026, needs more optimization.
17 231 0.249586207212 Henry Cohn, 2026, needs more optimization.
17 232 0.249590310807 Henry Cohn, 2026, needs more optimization.
17 233 0.249603786090 Henry Cohn, 2026, needs more optimization.
17 234 0.249646437577 Henry Cohn, 2026, needs more optimization.
17 235 0.249670528277 Henry Cohn, 2026, needs more optimization.
17 236 0.249673518578 Henry Cohn, 2026, needs more optimization.
17 237 0.249712912315 Henry Cohn, 2026, needs more optimization.
17 238 0.249742241156 Henry Cohn, 2026, needs more optimization.
17 239 0.249758969800 Henry Cohn, 2026, needs more optimization.
17 240 0.249772313572 Henry Cohn, 2026, needs more optimization.
17 241 0.249794739779 Henry Cohn, 2026, needs more optimization.
17 242 0.249812790373 Henry Cohn, 2026, needs more optimization.
17 243 0.249845449299 Henry Cohn, 2026, needs more optimization.
17 244 0.249853547579 Henry Cohn, 2026, needs more optimization.
17 245 0.249865440342 Henry Cohn, 2026, needs more optimization.
17 246 0.249886685906 Henry Cohn, 2026, needs more optimization.
17 247 0.249931585468 Henry Cohn, 2026, needs more optimization.
17 248 0.249931883529 Henry Cohn, 2026, needs more optimization.
17 249 0.249942614515 Henry Cohn, 2026, needs more optimization.
17 250 0.249946000212 Henry Cohn, 2026, needs more optimization.
17 251 0.249981686494 Henry Cohn, 2026, needs more optimization.
17 292 0.25 Henry Cohn, 2026.
4⁢x−1
17 293 0.250000384400 Henry Cohn, 2026, needs more optimization.
17 294 0.250000384866 Henry Cohn, 2026, needs more optimization.
17 295 0.250781747212 Henry Cohn, 2026, needs more optimization.
17 296 0.254276393994 Henry Cohn, 2026, needs more optimization.
17 297 0.256273642468 Henry Cohn, 2026, needs more optimization.
17 298 0.260007352924 Henry Cohn, 2026, needs more optimization.
17 299 0.261086178286 Henry Cohn, 2026, needs more optimization.
17 300 0.261087939842 Henry Cohn, 2026, needs more optimization.
17 301 0.261088082995 Henry Cohn, 2026, needs more optimization.
17 302 0.261088556048 Henry Cohn, 2026, needs more optimization.
17 303 0.261089233089 Henry Cohn, 2026, needs more optimization.
17 304 0.261090158178 Henry Cohn, 2026, needs more optimization.
17 305 0.261091613690 Henry Cohn, 2026, needs more optimization.
17 306 0.261092510013 Henry Cohn, 2026, needs more optimization.
17 307 0.261092556988 Henry Cohn, 2026, needs more optimization.
17 308 0.261094010900 Henry Cohn, 2026, needs more optimization.
17 309 0.261094118638 Henry Cohn, 2026, needs more optimization.
17 310 0.261094122089 Henry Cohn, 2026, needs more optimization.
17 311 0.261094125370 Henry Cohn, 2026, needs more optimization.
17 312 0.261094131104 Henry Cohn, 2026, needs more optimization.
17 313 0.261094132495 Henry Cohn, 2026, needs more optimization.
17 314 0.261094133860 Henry Cohn, 2026, needs more optimization.
17 315 0.261094136220 Henry Cohn, 2026, needs more optimization.
17 316 0.261094138755 Henry Cohn, 2026, needs more optimization.
17 317 0.261094141397 Henry Cohn, 2026, needs more optimization.
17 318 0.261094143319 Henry Cohn, 2026, needs more optimization.
17 319 0.261094145756 Henry Cohn, 2026, needs more optimization.
17 320 0.261094152773 Henry Cohn, 2026, needs more optimization.
17 321 0.281927176132 Henry Cohn, 2026, needs more optimization.
17 322 0.286739053787 Henry Cohn, 2026, needs more optimization.
17 323 0.289654575233 Henry Cohn, 2026, needs more optimization.
17 324 0.291744396742 Henry Cohn, 2026, needs more optimization.
17 325 0.293692161975 Henry Cohn, 2026, needs more optimization.
17 326 0.295127873286 Henry Cohn, 2026, needs more optimization.
17 327 0.296749688272 Henry Cohn, 2026, needs more optimization.
17 328 0.298822801156 Henry Cohn, 2026, needs more optimization.
17 329 0.300101655202 Henry Cohn, 2026, needs more optimization.
17 330 0.301275751934 Henry Cohn, 2026, needs more optimization.
17 331 0.302278767214 Henry Cohn, 2026, needs more optimization.
17 332 0.303317537968 Henry Cohn, 2026, needs more optimization.
17 333 0.303322339026 Henry Cohn, 2026, needs more optimization.
17 334 0.303324272317 Henry Cohn, 2026, needs more optimization.
17 335 0.303326956924 Henry Cohn, 2026, needs more optimization.
17 336 0.303328542846 Henry Cohn, 2026, needs more optimization.
17 337 0.303333312943 Henry Cohn, 2026, needs more optimization.
17 338 0.303336198351 Henry Cohn, 2026, needs more optimization.
17 339 0.303343298967 Henry Cohn, 2026, needs more optimization.
17 340 0.303777457794 Henry Cohn, 2026, needs more optimization.
17 341 0.303822075629 Henry Cohn, 2026, needs more optimization.
17 342 0.303849282428 Henry Cohn, 2026, needs more optimization.
17 343 0.305589917183 Henry Cohn, 2026, needs more optimization.
17 344 0.305593192090 Henry Cohn, 2026, needs more optimization.
17 345 0.306302192570 Henry Cohn, 2026, needs more optimization.
17 346 0.306302387473 Henry Cohn, 2026, needs more optimization.
17 347 0.306302496456 Henry Cohn, 2026, needs more optimization.
17 348 0.312610684845 Henry Cohn, 2026, needs more optimization.
17 349 0.314456275143 Henry Cohn, 2026, needs more optimization.
17 350 0.315718786447 Henry Cohn, 2026, needs more optimization.
17 351 0.316805144627 Henry Cohn, 2026, needs more optimization.
17 352 0.317468406788 Henry Cohn, 2026, needs more optimization.
17 353 0.318232774480 Henry Cohn, 2026, needs more optimization.
17 354 0.318991562364 Henry Cohn, 2026, needs more optimization.
17 355 0.319839672054 Henry Cohn, 2026, needs more optimization.
17 356 0.320384268434 Henry Cohn, 2026, needs more optimization.
17 357 0.320800689469 Henry Cohn, 2026, needs more optimization.
17 358 0.321672466347 Henry Cohn, 2026, needs more optimization.
17 359 0.321852411039 Henry Cohn, 2026, needs more optimization.
17 360 0.322375887712 Henry Cohn, 2026, needs more optimization.
17 361 0.326288328026 Henry Cohn, 2026, needs more optimization.
17 362 0.326414504658 Henry Cohn, 2026, needs more optimization.
17 363 0.327451926424 Henry Cohn, 2026, needs more optimization.
17 364 0.327560417050 Henry Cohn, 2026, needs more optimization.
17 365 0.327650578858 Henry Cohn, 2026, needs more optimization.
17 366 0.328507580160 Henry Cohn, 2026, needs more optimization.
17 367 0.329644562402 Henry Cohn, 2026, needs more optimization.
17 368 0.329919225624 Henry Cohn, 2026, needs more optimization.
17 369 0.330053995626 Henry Cohn, 2026, needs more optimization.
17 370 0.330760011769 Henry Cohn, 2026, needs more optimization.
17 371 0.331448862477 Henry Cohn, 2026, needs more optimization.
17 372 0.331525741024 Henry Cohn, 2026, needs more optimization.
17 373 0.332079834462 Henry Cohn, 2026, needs more optimization.
17 374 0.332710838571 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. T. Zhaowei, 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
17 579 0.352168449400 Henry Cohn, 2026, needs more optimization.
17 580 0.354534039393 Henry Cohn, 2026, needs more optimization.
17 581 0.358038221693 Henry Cohn, 2026, needs more optimization.
17 612 0.36 Henry Cohn, 2026.
25⁢x−9
17 614 0.362770551550 Henry Cohn, 2026, needs more optimization.
17 615 0.362792754958 Henry Cohn, 2026, needs more optimization.
17 616 0.362909148720 Henry Cohn, 2026, needs more optimization.
17 617 0.362911006803 Henry Cohn, 2026, needs more optimization.
17 619 0.363362599510 Henry Cohn, 2026, needs more optimization.
17 620 0.363384503371 Henry Cohn, 2026, needs more optimization.
17 621 0.363432191336 Henry Cohn, 2026, needs more optimization.
17 622 0.363456239792 Henry Cohn, 2026, needs more optimization.
17 623 0.363493966837 Henry Cohn, 2026, needs more optimization.
17 626 0.363674910823 Henry Cohn, 2026, needs more optimization.
17 629 0.364733621540 Henry Cohn, 2026, needs more optimization.
17 630 0.364760130895 Henry Cohn, 2026, needs more optimization.
17 631 0.364760157806 Henry Cohn, 2026, needs more optimization.
17 632 0.364897940740 Henry Cohn, 2026, needs more optimization.
17 633 0.365032400681 Henry Cohn, 2026, needs more optimization.
17 634 0.365060899419 Henry Cohn, 2026, needs more optimization.
17 635 0.365115757764 Henry Cohn, 2026, needs more optimization.
17 636 0.366053602157 Henry Cohn, 2026, needs more optimization.
17 639 0.366113747583 Henry Cohn, 2026, needs more optimization.
17 640 0.366140195152 Henry Cohn, 2026, needs more optimization.
17 641 0.366337923357 Henry Cohn, 2026, needs more optimization.
17 642 0.366505482526 Henry Cohn, 2026, needs more optimization.
17 643 0.366526538257 Henry Cohn, 2026, needs more optimization.
17 645 0.366933141062 Henry Cohn, 2026, needs more optimization.
17 646 0.366965110480 Henry Cohn, 2026, needs more optimization.
17 647 0.366973774986 Henry Cohn, 2026, needs more optimization.
17 649 0.367043583512 Henry Cohn, 2026, needs more optimization.
17 651 0.367088166395 Henry Cohn, 2026, needs more optimization.
17 653 0.367096018184 Henry Cohn, 2026, needs more optimization.
17 654 0.367113392260 Henry Cohn, 2026, needs more optimization.
17 655 0.367117265001 Henry Cohn, 2026, needs more optimization.
17 656 0.367125905578 Henry Cohn, 2026, needs more optimization.
17 657 0.367134607018 Henry Cohn, 2026, needs more optimization.
17 658 0.367145850479 Henry Cohn, 2026, needs more optimization.
17 659 0.367171686504 Henry Cohn, 2026, needs more optimization.
17 660 0.367182814681 Henry Cohn, 2026, needs more optimization.
17 661 0.367201736072 Henry Cohn, 2026, needs more optimization.
17 663 0.367206408222 Henry Cohn, 2026, needs more optimization.
17 664 0.367232622762 Henry Cohn, 2026, needs more optimization.
17 666 0.367308260287 Henry Cohn, 2026, needs more optimization.
17 667 0.367337044910 Henry Cohn, 2026, needs more optimization.
17 668 0.367348184453 Henry Cohn, 2026, needs more optimization.
17 669 0.367356976028 Henry Cohn, 2026, needs more optimization.
17 671 0.367372254817 Henry Cohn, 2026, needs more optimization.
17 673 0.367429233488 Henry Cohn, 2026, needs more optimization.
17 674 0.367580786468 Henry Cohn, 2026, needs more optimization.
17 675 0.367743538639 Henry Cohn, 2026, needs more optimization.
17 676 0.367831945441 Henry Cohn, 2026, needs more optimization.
17 677 0.367989661200 Henry Cohn, 2026, needs more optimization.
17 678 0.368018302722 Henry Cohn, 2026, needs more optimization.
17 680 0.368081737704 Henry Cohn, 2026, needs more optimization.
17 681 0.368491019050 Henry Cohn, 2026, needs more optimization.
17 682 0.368832246098 Henry Cohn, 2026, needs more optimization.
17 684 0.370318900564 Henry Cohn, 2026, needs more optimization.
17 685 0.370522136911 Henry Cohn, 2026, needs more optimization.
17 687 0.370577470338 Henry Cohn, 2026, needs more optimization.
17 692 0.370735222976 Henry Cohn, 2026, needs more optimization.
17 693 0.370743569061 Henry Cohn, 2026, needs more optimization.
17 695 0.370784776098 Henry Cohn, 2026, needs more optimization.
17 696 0.370788465384 Henry Cohn, 2026, needs more optimization.
17 698 0.370832401738 Henry Cohn, 2026, needs more optimization.
17 699 0.370861331105 Henry Cohn, 2026, needs more optimization.
17 700 0.370919368202 Henry Cohn, 2026, needs more optimization.
17 701 0.370970479854 Henry Cohn, 2026, needs more optimization.
17 702 0.371022432242 Henry Cohn, 2026, needs more optimization.
17 706 0.371032796398 Henry Cohn, 2026, needs more optimization.
17 707 0.371043652842 Henry Cohn, 2026, needs more optimization.
17 708 0.371045755347 Henry Cohn, 2026, needs more optimization.
17 709 0.371220445977 Henry Cohn, 2026, needs more optimization.
17 711 0.371247818044 Henry Cohn, 2026, needs more optimization.
17 712 0.371264434972 Henry Cohn, 2026, needs more optimization.
17 714 0.371293517729 Henry Cohn, 2026, needs more optimization.
17 715 0.371367974693 Henry Cohn, 2026, needs more optimization.
17 716 0.371460908762 Henry Cohn, 2026, needs more optimization.
17 717 0.371530641449 Henry Cohn, 2026, needs more optimization.
17 718 0.371636364019 Henry Cohn, 2026, needs more optimization.
17 723 0.371725928466 Henry Cohn, 2026, needs more optimization.
17 724 0.371846946043 Henry Cohn, 2026, needs more optimization.
17 725 0.371903221535 Henry Cohn, 2026, needs more optimization.
17 726 0.371923555757 Henry Cohn, 2026, needs more optimization.
17 727 0.371942361365 Henry Cohn, 2026, needs more optimization.
17 728 0.371961282225 Henry Cohn, 2026, needs more optimization.
17 729 0.372065378373 Henry Cohn, 2026, needs more optimization.
17 730 0.372082766675 Henry Cohn, 2026, needs more optimization.
17 732 0.372097584430 Henry Cohn, 2026, needs more optimization.
17 733 0.372273660847 Henry Cohn, 2026, needs more optimization.
17 737 0.373135950245 Henry Cohn, 2026, needs more optimization.
17 739 0.373267314759 Henry Cohn, 2026, needs more optimization.
17 740 0.373312870004 Henry Cohn, 2026, needs more optimization.
17 741 0.373339437408 Henry Cohn, 2026, needs more optimization.
17 742 0.373843790858 Henry Cohn, 2026, needs more optimization.
17 744 0.378171133479 Henry Cohn, 2026, needs more optimization.
17 746 0.378192992859 Henry Cohn, 2026, needs more optimization.
17 748 0.378339793892 Henry Cohn, 2026, needs more optimization.
17 756 0.378415300017 Henry Cohn, 2026, needs more optimization.
17 763 0.378524275721 Henry Cohn, 2026, needs more optimization.
17 764 0.378558269027 Henry Cohn, 2026, needs more optimization.
17 768 0.378558520827 Henry Cohn, 2026, needs more optimization.
17 772 0.399996346965 Henry Cohn, 2026, needs more optimization.
17 1024 0.4 Henry Cohn, 2026, subcode of a code of size 1088.
5⁢x−2
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 0.050097352046 Henry Cohn, 2025.
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 0.063513513654 Henry Cohn, 2023.
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.
18 48 0.074706792917 Henry Cohn, 2024.
18 50 0.078219048073 Henry Cohn, 2025.
368⁢x2−16⁢x−1
18 51 0.084340252912 Henry Cohn, 2025.
18 52 0.084342002724 Henry Cohn, 2025.
18 53 0.084342450321 Henry Cohn, 2025.
18 54 0.084342552633 Henry Cohn, 2025.
18 55 0.087707155784 Henry Cohn, 2025.
18 57 0.092724727985 Henry Cohn, 2025.
332⁢x2−20⁢x−1
18 59 0.096317631192 Henry Cohn, 2025.
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.
18 72 0.109540130282 Henry Cohn, 2026.
18 73 0.117134464846 Henry Cohn, 2026, needs more optimization.
18 74 0.120049808519 Henry Cohn, 2026, needs more optimization.
18 75 0.120367585573 Henry Cohn, 2026, needs more optimization.
18 76 0.122043871163 Henry Cohn, 2026, needs more optimization.
18 77 0.123493542007 Henry Cohn, 2026, needs more optimization.
18 78 0.125804804449 Henry Cohn, 2026, needs more optimization.
18 80 0.126224060072 Henry Cohn, 2026, needs more optimization.
18 81 0.126904281672 Henry Cohn, 2026, needs more optimization.
18 82 0.127626483898 Henry Cohn, 2026, needs more optimization.
18 83 0.129098755667 Henry Cohn, 2026, needs more optimization.
18 84 0.130579477836 Henry Cohn, 2026, needs more optimization.
18 85 0.132294284165 Henry Cohn, 2026, needs more optimization.
18 86 0.132700069009 Henry Cohn, 2026, needs more optimization.
18 87 0.133673268269 Henry Cohn, 2026.
18 88 0.134264346430 Henry Cohn, 2025.
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.
18 99 0.164304351005 Henry Cohn, 2026, needs more optimization.
18 100 0.167503290084 Henry Cohn, 2026, needs more optimization.
18 101 0.167552867954 Henry Cohn, 2026, needs more optimization.
18 102 0.168066784104 Henry Cohn, 2026, needs more optimization.
18 103 0.168582533530 Henry Cohn, 2026, needs more optimization.
18 104 0.168996259570 Henry Cohn, 2026, needs more optimization.
18 105 0.168996259813 Henry Cohn, 2026, needs more optimization.
18 106 0.169219168427 Henry Cohn, 2026, needs more optimization.
18 107 0.169525711924 Henry Cohn, 2026, needs more optimization.
18 108 0.170156157240 Henry Cohn, 2026, needs more optimization.
18 109 0.170282176067 Henry Cohn, 2026, needs more optimization.
18 110 0.170589457559 Henry Cohn, 2026, needs more optimization.
18 111 0.170819539934 Henry Cohn, 2026, needs more optimization.
18 112 0.171227356448 Henry Cohn, 2026, needs more optimization.
18 113 0.172922506077 Henry Cohn, 2026, needs more optimization.
18 114 0.174636687826 Henry Cohn, 2026, needs more optimization.
18 115 0.177175825755 Henry Cohn, 2026, needs more optimization.
18 116 0.179458481184 Henry Cohn, 2026, needs more optimization.
18 117 0.181388679968 Henry Cohn, 2026, needs more optimization.
18 118 0.183022545799 Henry Cohn, 2026, needs more optimization.
18 119 0.184590358550 Henry Cohn, 2026, needs more optimization.
18 120 0.185137714617 Henry Cohn, 2026, needs more optimization.
18 121 0.185920335388 Henry Cohn, 2026, needs more optimization.
18 122 0.187309324804 Henry Cohn, 2026, needs more optimization.
18 123 0.188915486784 Henry Cohn, 2026, needs more optimization.
18 130 0.189193290536 Henry Cohn, 2026, needs more optimization.
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 0.193070622507 Henry Cohn, 2026, needs more optimization.
18 134 0.193721012389 Henry Cohn, 2026, needs more optimization.
18 135 0.194298494257 Henry Cohn, 2026, needs more optimization.
18 136 0.194623021634 Henry Cohn, 2026, needs more optimization.
18 137 0.194954650318 Henry Cohn, 2026, needs more optimization.
18 138 0.195229999994 Henry Cohn, 2026, needs more optimization.
18 140 0.195281232517 Henry Cohn, 2026, needs more optimization.
18 141 0.197736277442 Henry Cohn, 2026, needs more optimization.
18 142 0.197851971977 Henry Cohn, 2026, needs more optimization.
18 143 0.198247210698 Henry Cohn, 2026, needs more optimization.
18 144 0.198445365067 Henry Cohn, 2026, needs more optimization.
18 145 0.198855038954 Henry Cohn, 2026, needs more optimization.
18 146 0.199218575087 Henry Cohn, 2026, needs more optimization.
18 147 0.199440948819 Henry Cohn, 2026, needs more optimization.
18 148 0.199458269740 Henry Cohn, 2026, needs more optimization.
18 149 0.199605560614 Henry Cohn, 2026, needs more optimization.
18 150 0.199807247992 Henry Cohn, 2026, needs more optimization.
18 151 0.199927611477 Henry Cohn, 2026, needs more optimization.
18 152 0.200585240063 Henry Cohn, 2026, needs more optimization.
18 153 0.200935211578 Henry Cohn, 2026, needs more optimization.
18 154 0.201345992886 Henry Cohn, 2026, needs more optimization.
18 155 0.201414759743 Henry Cohn, 2026, needs more optimization.
18 156 0.201492830292 Henry Cohn, 2026, needs more optimization.
18 157 0.201562999122 Henry Cohn, 2026, needs more optimization.
18 158 0.201582016615 Henry Cohn, 2026, needs more optimization.
18 159 0.201635927405 Henry Cohn, 2026, needs more optimization.
18 160 0.201667601115 Henry Cohn, 2026, needs more optimization.
18 161 0.202268702085 Henry Cohn, 2026, needs more optimization.
18 162 0.202316841895 Henry Cohn, 2026, needs more optimization.
18 163 0.202373950268 Henry Cohn, 2026, needs more optimization.
18 164 0.202469533773 Henry Cohn, 2026, needs more optimization.
18 165 0.202703688626 Henry Cohn, 2026, needs more optimization.
18 166 0.202859057711 Henry Cohn, 2026, needs more optimization.
18 167 0.202898086265 Henry Cohn, 2026, needs more optimization.
18 168 0.202918032236 Henry Cohn, 2026, needs more optimization.
18 169 0.202919784844 Henry Cohn, 2026, needs more optimization.
18 170 0.202919906171 Henry Cohn, 2026, needs more optimization.
18 171 0.203077398224 Henry Cohn, 2026, needs more optimization.
18 172 0.204258081008 Henry Cohn, 2026, needs more optimization.
18 173 0.206296021639 Henry Cohn, 2026, needs more optimization.
18 174 0.208717219256 Henry Cohn, 2026, needs more optimization.
18 175 0.212085260911 Henry Cohn, 2026, needs more optimization.
18 179 0.214580042766 Henry Cohn, 2026, needs more optimization.
18 180 0.214580042773 Henry Cohn, 2026, needs more optimization.
18 181 0.214580603161 Henry Cohn, 2026, needs more optimization.
18 184 0.214580882717 Henry Cohn, 2026, needs more optimization.
18 186 0.214580882720 Henry Cohn, 2026, needs more optimization.
18 187 0.214590076230 Henry Cohn, 2026, needs more optimization.
18 188 0.216513082407 Henry Cohn, 2026, needs more optimization.
18 189 0.217824557296 Henry Cohn, 2026, needs more optimization.
18 190 0.219956252483 Henry Cohn, 2026, needs more optimization.
18 191 0.221443540830 Henry Cohn, 2026, needs more optimization.
18 192 0.223220302834 Henry Cohn, 2026, needs more optimization.
18 205 0.224489795919 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.
49⁢x−11
18 206 0.227401565096 Henry Cohn, 2026, needs more optimization.
18 207 0.228475994834 Henry Cohn, 2026, needs more optimization.
18 208 0.229745867064 Henry Cohn, 2026, needs more optimization.
18 209 0.230550613899 Henry Cohn, 2026, needs more optimization.
18 210 0.230995811090 Henry Cohn, 2026, needs more optimization.
18 211 0.231265700956 Henry Cohn, 2026, needs more optimization.
18 212 0.232481387610 Henry Cohn, 2026, needs more optimization.
18 213 0.233085698240 Henry Cohn, 2026, needs more optimization.
18 214 0.233132727298 Henry Cohn, 2026, needs more optimization.
18 215 0.233982531407 Henry Cohn, 2026, needs more optimization.
18 216 0.235093348669 Henry Cohn, 2026, needs more optimization.
18 217 0.235824355342 Henry Cohn, 2026, needs more optimization.
18 218 0.237011768295 Henry Cohn, 2026, needs more optimization.
18 219 0.237604372679 Henry Cohn, 2026, needs more optimization.
18 220 0.238605877155 Henry Cohn, 2026, needs more optimization.
18 221 0.239742855523 Henry Cohn, 2026, needs more optimization.
18 222 0.240338997030 Henry Cohn, 2026, needs more optimization.
18 223 0.241200982916 Henry Cohn, 2026, needs more optimization.
18 224 0.241540774690 Henry Cohn, 2026, needs more optimization.
18 225 0.241647168065 Henry Cohn, 2026, needs more optimization.
18 226 0.241768705461 Henry Cohn, 2026, needs more optimization.
18 227 0.241905153180 Henry Cohn, 2026, needs more optimization.
18 228 0.242082056303 Henry Cohn, 2026, needs more optimization.
18 229 0.242323160823 Henry Cohn, 2026, needs more optimization.
18 230 0.242429613393 Henry Cohn, 2026, needs more optimization.
18 231 0.242553980140 Henry Cohn, 2026, needs more optimization.
18 232 0.242826762377 Henry Cohn, 2026, needs more optimization.
18 233 0.243062354921 Henry Cohn, 2026, needs more optimization.
18 234 0.243543545307 Henry Cohn, 2026, needs more optimization.
18 235 0.243859452001 Henry Cohn, 2026, needs more optimization.
18 236 0.244000333111 Henry Cohn, 2026, needs more optimization.
18 237 0.244150281254 Henry Cohn, 2026, needs more optimization.
18 238 0.244364955791 Henry Cohn, 2026, needs more optimization.
18 239 0.244871239019 Henry Cohn, 2026, needs more optimization.
18 240 0.244871920750 Henry Cohn, 2026, needs more optimization.
18 241 0.244882755643 Henry Cohn, 2026, needs more optimization.
18 242 0.245090459610 Henry Cohn, 2026, needs more optimization.
18 243 0.245151931813 Henry Cohn, 2026, needs more optimization.
18 244 0.245213702417 Henry Cohn, 2026, needs more optimization.
18 245 0.245287189415 Henry Cohn, 2026, needs more optimization.
18 246 0.245530434761 Henry Cohn, 2026, needs more optimization.
18 247 0.245672042434 Henry Cohn, 2026, needs more optimization.
18 248 0.245678215258 Henry Cohn, 2026, needs more optimization.
18 249 0.245913176409 Henry Cohn, 2026, needs more optimization.
18 250 0.246007393777 Henry Cohn, 2026, needs more optimization.
18 251 0.246013098657 Henry Cohn, 2026, needs more optimization.
18 252 0.246371409048 Henry Cohn, 2026, needs more optimization.
18 253 0.246433285886 Henry Cohn, 2026, needs more optimization.
18 256 0.246437043968 Henry Cohn, 2026, needs more optimization.
18 257 0.246750389746 Henry Cohn, 2026, needs more optimization.
18 258 0.247020598084 Henry Cohn, 2026, needs more optimization.
18 259 0.247040492917 Henry Cohn, 2026, needs more optimization.
18 260 0.247075617101 Henry Cohn, 2026, needs more optimization.
18 261 0.247107111221 Henry Cohn, 2026, needs more optimization.
18 262 0.247149816981 Henry Cohn, 2026, needs more optimization.
18 263 0.247180033159 Henry Cohn, 2026, needs more optimization.
18 264 0.247202560923 Henry Cohn, 2026, needs more optimization.
18 265 0.247271426159 Henry Cohn, 2026, needs more optimization.
18 266 0.247341828635 Henry Cohn, 2026, needs more optimization.
18 267 0.247376892717 Henry Cohn, 2026, needs more optimization.
18 268 0.247467619733 Henry Cohn, 2026, needs more optimization.
18 269 0.247474142751 Henry Cohn, 2026, needs more optimization.
18 270 0.247485365982 Henry Cohn, 2026, needs more optimization.
18 271 0.247527104009 Henry Cohn, 2026, needs more optimization.
18 272 0.247574168516 Henry Cohn, 2026, needs more optimization.
18 273 0.247582006648 Henry Cohn, 2026, needs more optimization.
18 274 0.247594186788 Henry Cohn, 2026, needs more optimization.
18 275 0.247626131441 Henry Cohn, 2026, needs more optimization.
18 276 0.247646419111 Henry Cohn, 2026, needs more optimization.
18 277 0.247700628484 Henry Cohn, 2026, needs more optimization.
18 278 0.247719852041 Henry Cohn, 2026, needs more optimization.
18 279 0.247739691570 Henry Cohn, 2026, needs more optimization.
18 280 0.247741668987 Henry Cohn, 2026, needs more optimization.
18 281 0.247790623265 Henry Cohn, 2026, needs more optimization.
18 282 0.247800395597 Henry Cohn, 2026, needs more optimization.
18 283 0.247855354547 Henry Cohn, 2026, needs more optimization.
18 284 0.247855356407 Henry Cohn, 2026, needs more optimization.
18 285 0.247856117220 Henry Cohn, 2026, needs more optimization.
18 286 0.247856125798 Henry Cohn, 2026, needs more optimization.
18 287 0.248234617483 Henry Cohn, 2026, needs more optimization.
18 288 0.248891328269 Henry Cohn, 2026, needs more optimization.
18 289 0.248932474349 Henry Cohn, 2026, needs more optimization.
18 290 0.249322748595 Henry Cohn, 2026, needs more optimization.
18 291 0.249401342871 Henry Cohn, 2026, needs more optimization.
18 292 0.249417438648 Henry Cohn, 2026, needs more optimization.
18 293 0.249666312459 Henry Cohn, 2026, needs more optimization.
18 294 0.249879265100 Henry Cohn, 2026, needs more optimization.
18 295 0.249879805203 Henry Cohn, 2026, needs more optimization.
18 296 0.249940329163 Henry Cohn, 2026, needs more optimization.
18 297 0.250012540435 Henry Cohn, 2026, needs more optimization.
18 298 0.250012946053 Henry Cohn, 2026, needs more optimization.
18 299 0.250014127036 Henry Cohn, 2026, needs more optimization.
18 300 0.250029944744 Henry Cohn, 2026, needs more optimization.
18 301 0.250031140734 Henry Cohn, 2026, needs more optimization.
18 302 0.250034723390 Henry Cohn, 2026, needs more optimization.
18 303 0.250061180668 Henry Cohn, 2026, needs more optimization.
18 304 0.250063853156 Henry Cohn, 2026, needs more optimization.
18 305 0.250248934442 Henry Cohn, 2026, needs more optimization.
18 306 0.250687816461 Henry Cohn, 2026, needs more optimization.
18 307 0.251247853605 Henry Cohn, 2026, needs more optimization.
18 308 0.252125376005 Henry Cohn, 2026, needs more optimization.
18 309 0.252685696710 Henry Cohn, 2026, needs more optimization.
18 310 0.253902184201 Henry Cohn, 2026, needs more optimization.
18 311 0.254922248524 Henry Cohn, 2026, needs more optimization.
18 312 0.256287866518 Henry Cohn, 2026, needs more optimization.
18 313 0.257054931831 Henry Cohn, 2026, needs more optimization.
18 314 0.258197906605 Henry Cohn, 2026, needs more optimization.
18 315 0.258919833773 Henry Cohn, 2026, needs more optimization.
18 316 0.258929961476 Henry Cohn, 2026, needs more optimization.
18 317 0.258968477873 Henry Cohn, 2026, needs more optimization.
18 318 0.258976658518 Henry Cohn, 2026, needs more optimization.
18 319 0.259093451312 Henry Cohn, 2026, needs more optimization.
18 320 0.259184101161 Henry Cohn, 2026, needs more optimization.
18 321 0.259195577538 Henry Cohn, 2026, needs more optimization.
18 322 0.259198476572 Henry Cohn, 2026, needs more optimization.
18 323 0.259260166343 Henry Cohn, 2026, needs more optimization.
18 324 0.259426788527 Henry Cohn, 2026, needs more optimization.
18 325 0.259869000677 Henry Cohn, 2026, needs more optimization.
18 326 0.259932122118 Henry Cohn, 2026, needs more optimization.
18 327 0.260111885602 Henry Cohn, 2026, needs more optimization.
18 328 0.260222775027 Henry Cohn, 2026, needs more optimization.
18 329 0.260444812206 Henry Cohn, 2026, needs more optimization.
18 330 0.260732748583 Henry Cohn, 2026, needs more optimization.
18 331 0.260735505696 Henry Cohn, 2026, needs more optimization.
18 332 0.260738849976 Henry Cohn, 2026, needs more optimization.
18 333 0.260741948997 Henry Cohn, 2026, needs more optimization.
18 334 0.260764319335 Henry Cohn, 2026, needs more optimization.
18 335 0.260776383310 Henry Cohn, 2026, needs more optimization.
18 336 0.260787735212 Henry Cohn, 2026, needs more optimization.
18 337 0.260834008074 Henry Cohn, 2026, needs more optimization.
18 338 0.260835513724 Henry Cohn, 2026, needs more optimization.
18 339 0.260851349859 Henry Cohn, 2026, needs more optimization.
18 340 0.260855069502 Henry Cohn, 2026, needs more optimization.
18 341 0.260875942946 Henry Cohn, 2026, needs more optimization.
18 342 0.260877443186 Henry Cohn, 2026, needs more optimization.
18 343 0.260888232541 Henry Cohn, 2026, needs more optimization.
18 344 0.260916360836 Henry Cohn, 2026, needs more optimization.
18 345 0.260936040240 Henry Cohn, 2026, needs more optimization.
18 346 0.260946984879 Henry Cohn, 2026, needs more optimization.
18 347 0.260949193469 Henry Cohn, 2026, needs more optimization.
18 348 0.260968400552 Henry Cohn, 2026, needs more optimization.
18 349 0.260972259890 Henry Cohn, 2026, needs more optimization.
18 350 0.261003887527 Henry Cohn, 2026, needs more optimization.
18 351 0.261202691493 Henry Cohn, 2026, needs more optimization.
18 352 0.261203536125 Henry Cohn, 2026, needs more optimization.
18 353 0.262952226332 Henry Cohn, 2026, needs more optimization.
18 354 0.279698526640 Henry Cohn, 2026, needs more optimization.
18 355 0.284465069029 Henry Cohn, 2026, needs more optimization.
18 356 0.284739679103 Henry Cohn, 2026, needs more optimization.
18 357 0.288126514339 Henry Cohn, 2026, needs more optimization.
18 358 0.290498798648 Henry Cohn, 2026, needs more optimization.
18 359 0.291996704991 Henry Cohn, 2026, needs more optimization.
18 360 0.293226442881 Henry Cohn, 2026, needs more optimization.
18 361 0.294122242300 Henry Cohn, 2026, needs more optimization.
18 362 0.294122298193 Henry Cohn, 2026, needs more optimization.
18 363 0.294122299018 Henry Cohn, 2026, needs more optimization.
18 364 0.294122440895 Henry Cohn, 2026, needs more optimization.
18 366 0.294122447170 Henry Cohn, 2026, needs more optimization.
18 367 0.294122680123 Henry Cohn, 2026, needs more optimization.
18 368 0.294122747489 Henry Cohn, 2026, needs more optimization.
18 369 0.294123023902 Henry Cohn, 2026, needs more optimization.
18 370 0.294123100213 Henry Cohn, 2026, needs more optimization.
18 372 0.294123229329 Henry Cohn, 2026, needs more optimization.
18 373 0.294123331564 Henry Cohn, 2026, needs more optimization.
18 374 0.294123403617 Henry Cohn, 2026, needs more optimization.
18 375 0.294123513067 Henry Cohn, 2026, needs more optimization.
18 376 0.294123723115 Henry Cohn, 2026, needs more optimization.
18 377 0.294124101594 Henry Cohn, 2026, needs more optimization.
18 378 0.294124319679 Henry Cohn, 2026, needs more optimization.
18 379 0.294124532238 Henry Cohn, 2026, needs more optimization.
18 380 0.294124581502 Henry Cohn, 2026, needs more optimization.
18 381 0.294124754458 Henry Cohn, 2026, needs more optimization.
18 382 0.294125022706 Henry Cohn, 2026, needs more optimization.
18 383 0.294125638926 Henry Cohn, 2026, needs more optimization.
18 384 0.294126030422 Henry Cohn, 2026, needs more optimization.
18 385 0.294126391268 Henry Cohn, 2026, needs more optimization.
18 386 0.294126604911 Henry Cohn, 2026, needs more optimization.
18 387 0.294126702537 Henry Cohn, 2026, needs more optimization.
18 388 0.294127468570 Henry Cohn, 2026, needs more optimization.
18 389 0.294127801564 Henry Cohn, 2026, needs more optimization.
18 390 0.294128278370 Henry Cohn, 2026, needs more optimization.
18 391 0.294128750965 Henry Cohn, 2026, needs more optimization.
18 392 0.294129541692 Henry Cohn, 2026, needs more optimization.
18 393 0.294130706710 Henry Cohn, 2026, needs more optimization.
18 394 0.294131596296 Henry Cohn, 2026, needs more optimization.
18 395 0.294133444270 Henry Cohn, 2026, needs more optimization.
18 396 0.294135424238 Henry Cohn, 2026, needs more optimization.
18 397 0.294137564565 Henry Cohn, 2026, needs more optimization.
18 398 0.294141963041 Henry Cohn, 2026, needs more optimization.
18 399 0.294152063605 Henry Cohn, 2026, needs more optimization.
18 400 0.294872782885 Henry Cohn, 2026, needs more optimization.
18 401 0.295070864943 Henry Cohn, 2026, needs more optimization.
18 402 0.295191324618 Henry Cohn, 2026, needs more optimization.
18 403 0.295192888779 Henry Cohn, 2026, needs more optimization.
18 404 0.295194474858 Henry Cohn, 2026, needs more optimization.
18 405 0.295195681414 Henry Cohn, 2026, needs more optimization.
18 406 0.295198175754 Henry Cohn, 2026, needs more optimization.
18 407 0.295206333213 Henry Cohn, 2026, needs more optimization.
18 408 0.295468887306 Henry Cohn, 2026, needs more optimization.
18 409 0.295474881103 Henry Cohn, 2026, needs more optimization.
18 410 0.295478792979 Henry Cohn, 2026, needs more optimization.
18 411 0.295483193455 Henry Cohn, 2026, needs more optimization.
18 412 0.295547902935 Henry Cohn, 2026, needs more optimization.
18 413 0.295549178097 Henry Cohn, 2026, needs more optimization.
18 414 0.295551192337 Henry Cohn, 2026, needs more optimization.
18 415 0.295553199793 Henry Cohn, 2026, needs more optimization.
18 416 0.295557913876 Henry Cohn, 2026, needs more optimization.
18 417 0.296026433530 Henry Cohn, 2026, needs more optimization.
18 418 0.296030647789 Henry Cohn, 2026, needs more optimization.
18 419 0.296039953894 Henry Cohn, 2026, needs more optimization.
18 420 0.296223942764 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 0.298382725430 Henry Cohn, 2026, needs more optimization.
18 482 0.300187180245 Henry Cohn, 2026, needs more optimization.
18 483 0.301460947308 Henry Cohn, 2026, needs more optimization.
18 484 0.302689723280 Henry Cohn, 2026, needs more optimization.
18 485 0.303488397063 Henry Cohn, 2026, needs more optimization.
18 486 0.305670068672 Henry Cohn, 2026, needs more optimization.
18 487 0.307369039521 Henry Cohn, 2026, needs more optimization.
18 488 0.309521816920 Henry Cohn, 2026, needs more optimization.
18 489 0.310112157157 Henry Cohn, 2026, needs more optimization.
18 490 0.310902484403 Henry Cohn, 2026, needs more optimization.
18 491 0.311794731150 Henry Cohn, 2026, needs more optimization.
18 492 0.312606710221 Henry Cohn, 2026, needs more optimization.
18 493 0.313258391499 Henry Cohn, 2026, needs more optimization.
18 494 0.313849404982 Henry Cohn, 2026, needs more optimization.
18 495 0.314057571054 Henry Cohn, 2026, needs more optimization.
18 496 0.314178945346 Henry Cohn, 2026, needs more optimization.
18 497 0.314456000867 Henry Cohn, 2026, needs more optimization.
18 498 0.314918942808 Henry Cohn, 2026, needs more optimization.
18 499 0.314989058124 Henry Cohn, 2026, needs more optimization.
18 500 0.315424309285 Henry Cohn, 2026, needs more optimization.
18 501 0.315968494486 Henry Cohn, 2026, needs more optimization.
18 502 0.316384763374 Henry Cohn, 2026, needs more optimization.
18 503 0.316635991655 Henry Cohn, 2026, needs more optimization.
18 504 0.316745631627 Henry Cohn, 2026, needs more optimization.
18 505 0.317118666380 Henry Cohn, 2026, needs more optimization.
18 506 0.317442581746 Henry Cohn, 2026, needs more optimization.
18 507 0.317887716958 Henry Cohn, 2026, needs more optimization.
18 508 0.318381397317 Henry Cohn, 2026, needs more optimization.
18 509 0.318755756312 Henry Cohn, 2026, needs more optimization.
18 510 0.318986256397 Henry Cohn, 2026, needs more optimization.
18 512 0.319282387643 Henry Cohn, 2026, needs more optimization.
18 513 0.319580629271 Henry Cohn, 2026, needs more optimization.
18 514 0.319862169028 Henry Cohn, 2026, needs more optimization.
18 515 0.320345298437 Henry Cohn, 2026, needs more optimization.
18 516 0.320822578864 Henry Cohn, 2026, needs more optimization.
18 517 0.321228076250 Henry Cohn, 2026, needs more optimization.
18 518 0.322128900086 Henry Cohn, 2026, needs more optimization.
18 519 0.322492249859 Henry Cohn, 2026, needs more optimization.
18 520 0.323019247882 Henry Cohn, 2026, needs more optimization.
18 522 0.323090387833 Henry Cohn, 2026, needs more optimization.
18 523 0.323142457539 Henry Cohn, 2026, needs more optimization.
18 524 0.323194888113 Henry Cohn, 2026, needs more optimization.
18 525 0.323760534814 Henry Cohn, 2026, needs more optimization.
18 526 0.323970073732 Henry Cohn, 2026, needs more optimization.
18 527 0.324382640404 Henry Cohn, 2026, needs more optimization.
18 528 0.324680606728 Henry Cohn, 2026, needs more optimization.
18 529 0.324946782747 Henry Cohn, 2026, needs more optimization.
18 530 0.324958521260 Henry Cohn, 2026, needs more optimization.
18 531 0.325287555785 Henry Cohn, 2026, needs more optimization.
18 532 0.325703158941 Henry Cohn, 2026, needs more optimization.
18 533 0.326033507637 Henry Cohn, 2026, needs more optimization.
18 534 0.326345869617 Henry Cohn, 2026, needs more optimization.
18 535 0.326606574507 Henry Cohn, 2026, needs more optimization.
18 536 0.326887366802 Henry Cohn, 2026, needs more optimization.
18 537 0.327127767490 Henry Cohn, 2026, needs more optimization.
18 538 0.327736844213 Henry Cohn, 2026, needs more optimization.
18 539 0.327925978915 Henry Cohn, 2026, needs more optimization.
18 540 0.328341729179 Henry Cohn, 2026, needs more optimization.
18 541 0.328746670090 Henry Cohn, 2026, needs more optimization.
18 542 0.329012768415 Henry Cohn, 2026, needs more optimization.
18 543 0.329091129015 Henry Cohn, 2026, needs more optimization.
18 544 0.329530210378 Henry Cohn, 2026, needs more optimization.
18 545 0.329690168125 Henry Cohn, 2026, needs more optimization.
18 546 0.330058957098 Henry Cohn, 2026, needs more optimization.
18 547 0.330254207656 Henry Cohn, 2026, needs more optimization.
18 548 0.330528990192 Henry Cohn, 2026, needs more optimization.
18 549 0.330870565371 Henry Cohn, 2026, needs more optimization.
18 550 0.331312281827 Henry Cohn, 2026, needs more optimization.
18 551 0.331670098684 Henry Cohn, 2026, needs more optimization.
18 552 0.331969977970 Henry Cohn, 2026, needs more optimization.
18 553 0.332381372675 Henry Cohn, 2026, needs more optimization.
18 554 0.332456634515 Henry Cohn, 2026, needs more optimization.
18 555 0.332594211651 Henry Cohn, 2026, needs more optimization.
18 556 0.332866633211 Henry Cohn, 2026, needs more optimization.
18 557 0.332999060561 Henry Cohn, 2026, needs more optimization.
18 558 0.333214355934 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. T. Zhaowei, 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
18 705 0.342214645401 Henry Cohn, 2026, needs more optimization.
18 706 0.343286125891 Henry Cohn, 2026, needs more optimization.
18 707 0.344657015681 Henry Cohn, 2026, needs more optimization.
18 708 0.345482861661 Henry Cohn, 2026, needs more optimization.
18 709 0.346129735964 Henry Cohn, 2026, needs more optimization.
18 710 0.346676596765 Henry Cohn, 2026, needs more optimization.
18 711 0.347199955136 Henry Cohn, 2026, needs more optimization.
18 712 0.347601236493 Henry Cohn, 2026, needs more optimization.
18 713 0.348067827688 Henry Cohn, 2026, needs more optimization.
18 714 0.348524981032 Henry Cohn, 2026, needs more optimization.
18 715 0.348832971919 Henry Cohn, 2026, needs more optimization.
18 716 0.348929987286 Henry Cohn, 2026, needs more optimization.
18 717 0.349218275303 Henry Cohn, 2026, needs more optimization.
18 718 0.349493312618 Henry Cohn, 2026, needs more optimization.
18 719 0.349818128232 Henry Cohn, 2026, needs more optimization.
18 720 0.350035182679 Henry Cohn, 2026, needs more optimization.
18 721 0.350308284684 Henry Cohn, 2026, needs more optimization.
18 722 0.350581585106 Henry Cohn, 2026, needs more optimization.
18 723 0.350636772578 Henry Cohn, 2026, needs more optimization.
18 724 0.350855909344 Henry Cohn, 2026, needs more optimization.
18 725 0.350975746725 Henry Cohn, 2026, needs more optimization.
18 726 0.351045190439 Henry Cohn, 2026, needs more optimization.
18 727 0.351258441645 Henry Cohn, 2026, needs more optimization.
18 728 0.351409487323 Henry Cohn, 2026, needs more optimization.
18 729 0.351543459573 Henry Cohn, 2026, needs more optimization.
18 730 0.351733387639 Henry Cohn, 2026, needs more optimization.
18 731 0.351802016429 Henry Cohn, 2026, needs more optimization.
18 732 0.351947644866 Henry Cohn, 2026, needs more optimization.
18 733 0.352103836833 Henry Cohn, 2026, needs more optimization.
18 734 0.352287375329 Henry Cohn, 2026, needs more optimization.
18 735 0.352448489047 Henry Cohn, 2026, needs more optimization.
18 736 0.352579229018 Henry Cohn, 2026, needs more optimization.
18 737 0.352643162885 Henry Cohn, 2026, needs more optimization.
18 738 0.352794548633 Henry Cohn, 2026, needs more optimization.
18 739 0.352910230588 Henry Cohn, 2026, needs more optimization.
18 740 0.353083230019 Henry Cohn, 2026, needs more optimization.
18 741 0.353191635347 Henry Cohn, 2026, needs more optimization.
18 742 0.353322399932 Henry Cohn, 2026, needs more optimization.
18 743 0.353407335411 Henry Cohn, 2026, needs more optimization.
18 744 0.353452764618 Henry Cohn, 2026, needs more optimization.
18 745 0.353585351449 Henry Cohn, 2026, needs more optimization.
18 746 0.353643146660 Henry Cohn, 2026, needs more optimization.
18 747 0.353787432554 Henry Cohn, 2026, needs more optimization.
18 748 0.353919231122 Henry Cohn, 2026, needs more optimization.
18 749 0.353973478031 Henry Cohn, 2026, needs more optimization.
18 750 0.354112396292 Henry Cohn, 2026, needs more optimization.
18 751 0.354155557839 Henry Cohn, 2026, needs more optimization.
18 752 0.354272681751 Henry Cohn, 2026, needs more optimization.
18 753 0.354382502348 Henry Cohn, 2026, needs more optimization.
18 754 0.354462855267 Henry Cohn, 2026, needs more optimization.
18 755 0.354554108290 Henry Cohn, 2026, needs more optimization.
18 756 0.354667361574 Henry Cohn, 2026, needs more optimization.
18 757 0.354720951096 Henry Cohn, 2026, needs more optimization.
18 758 0.354834852239 Henry Cohn, 2026, needs more optimization.
18 759 0.354910633454 Henry Cohn, 2026, needs more optimization.
18 760 0.354975092177 Henry Cohn, 2026, needs more optimization.
18 761 0.355010503985 Henry Cohn, 2026, needs more optimization.
18 762 0.355085504447 Henry Cohn, 2026, needs more optimization.
18 763 0.355170655652 Henry Cohn, 2026, needs more optimization.
18 764 0.355236941359 Henry Cohn, 2026, needs more optimization.
18 765 0.355336698035 Henry Cohn, 2026, needs more optimization.
18 766 0.355498134004 Henry Cohn, 2026, needs more optimization.
18 767 0.355710485294 Henry Cohn, 2026, needs more optimization.
18 768 0.355790457615 Henry Cohn, 2026, needs more optimization.
18 769 0.355912122740 Henry Cohn, 2026, needs more optimization.
18 770 0.356057653593 Henry Cohn, 2026, needs more optimization.
18 771 0.356252409751 Henry Cohn, 2026, needs more optimization.
18 772 0.356487235158 Henry Cohn, 2026, needs more optimization.
18 773 0.356645995238 Henry Cohn, 2026, needs more optimization.
18 774 0.356827636745 Henry Cohn, 2026, needs more optimization.
18 775 0.356977869028 Henry Cohn, 2026, needs more optimization.
18 776 0.357125873860 Henry Cohn, 2026, needs more optimization.
18 867 0.357142857143 Henry Cohn, 2025, by modifying a construction from C. Ma, T. T. Zhaowei, 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
18 869 0.373272527071 Henry Cohn, 2026, needs more optimization.
18 870 0.375939994648 Henry Cohn, 2026, needs more optimization.
18 871 0.377628591933 Henry Cohn, 2026, needs more optimization.
18 872 0.379007132911 Henry Cohn, 2026, needs more optimization.
18 874 0.379860470834 Henry Cohn, 2026, needs more optimization.
18 875 0.379995380105 Henry Cohn, 2026, needs more optimization.
18 876 0.380766080015 Henry Cohn, 2026, needs more optimization.
18 877 0.381681472783 Henry Cohn, 2026, needs more optimization.
18 878 0.382382173739 Henry Cohn, 2026, needs more optimization.
18 879 0.382527221772 Henry Cohn, 2026, needs more optimization.
18 880 0.383281868252 Henry Cohn, 2026, needs more optimization.
18 881 0.383362356710 Henry Cohn, 2026, needs more optimization.
18 882 0.383878195085 Henry Cohn, 2026, needs more optimization.
18 883 0.383948687211 Henry Cohn, 2026, needs more optimization.
18 1024 0.384615384616 Henry Cohn, 2026, subcode of a code of size 1152.
13⁢x−5
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 0.075275141543 Henry Cohn, 2025.
19 52 0.077597142083 Henry Cohn, 2026.
19 53 0.080493593475 Henry Cohn, 2026.
19 54 0.081692292171 Henry Cohn, 2025.
19 55 0.082178889828 Henry Cohn, 2025.
19 56 0.083233613334 Henry Cohn, 2026.
19 57 0.084818962260 Henry Cohn, 2025.
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 0.101319957446 Henry Cohn, 2026, needs more optimization.
19 70 0.101392647883 Henry Cohn, 2025, needs more optimization.
19 71 0.101456853395 Henry Cohn, 2026, needs more optimization.
19 72 0.101838513947 Henry Cohn, 2026, needs more optimization.
19 73 0.102201317334 Henry Cohn, 2026.
311⁢x2−22⁢x−1
19 74 0.104257870372 Henry Cohn, 2026, needs more optimization.
19 75 0.107816370262 Henry Cohn, 2026, needs more optimization.
19 76 0.111553284797 Henry Cohn, 2026.
19 77 0.112839203138 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 0.128902034018 Henry Cohn, 2026, needs more optimization.
19 92 0.134480843584 Henry Cohn, 2026, needs more optimization.
19 93 0.142608613562 Henry Cohn, 2026, needs more optimization.
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.
19 104 0.150748959688 Henry Cohn, 2026.
19 105 0.152679567208 Henry Cohn, 2026, needs more optimization.
19 106 0.152679588687 Henry Cohn, 2026, needs more optimization.
19 107 0.155579639766 Henry Cohn, 2026, needs more optimization.
19 108 0.156351981287 Henry Cohn, 2026, needs more optimization.
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.
19 134 0.174620105370 Henry Cohn, 2026, needs more optimization.
19 135 0.175008940156 Henry Cohn, 2026, needs more optimization.
19 136 0.175560892175 Henry Cohn, 2026, needs more optimization.
19 137 0.176564830342 Henry Cohn, 2026, needs more optimization.
19 138 0.177170944275 Henry Cohn, 2026, needs more optimization.
19 139 0.177632985804 Henry Cohn, 2026, needs more optimization.
19 140 0.178040701808 Henry Cohn, 2026, needs more optimization.
19 141 0.178330880521 Henry Cohn, 2026, needs more optimization.
19 142 0.178676198278 Henry Cohn, 2026, needs more optimization.
19 143 0.179211947432 Henry Cohn, 2026, needs more optimization.
19 144 0.179753488419 Henry Cohn, 2026, needs more optimization.
19 145 0.180720968585 Henry Cohn, 2026, needs more optimization.
19 146 0.180721175636 Henry Cohn, 2026, needs more optimization.
19 147 0.182377042980 Henry Cohn, 2026, needs more optimization.
19 148 0.183300836037 Henry Cohn, 2026, needs more optimization.
19 149 0.183926698622 Henry Cohn, 2026, needs more optimization.
19 150 0.184646543855 Henry Cohn, 2026, needs more optimization.
19 151 0.186861702854 Henry Cohn, 2026, needs more optimization.
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 0.193637369254 Henry Cohn, 2026, needs more optimization.
19 178 0.194663251780 Henry Cohn, 2026, needs more optimization.
19 179 0.195474278395 Henry Cohn, 2026, needs more optimization.
19 180 0.195821119719 Henry Cohn, 2026, needs more optimization.
19 181 0.198080439712 Henry Cohn, 2026, needs more optimization.
19 182 0.198331860018 Henry Cohn, 2026, needs more optimization.
19 183 0.199287072721 Henry Cohn, 2026, needs more optimization.
19 184 0.199288566770 Henry Cohn, 2026, needs more optimization.
19 185 0.199862523146 Henry Cohn, 2026, needs more optimization.
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, needs more optimization.
19 194 0.205905415936 Henry Cohn, 2026, needs more optimization.
19 195 0.207110982425 Henry Cohn, 2026, needs more optimization.
19 196 0.208040828687 Henry Cohn, 2026, needs more optimization.
19 197 0.208693133835 Henry Cohn, 2026, needs more optimization.
19 198 0.209394742583 Henry Cohn, 2026, needs more optimization.
19 199 0.209808331183 Henry Cohn, 2026, needs more optimization.
19 200 0.210590897526 Henry Cohn, 2026, needs more optimization.
19 201 0.211119330275 Henry Cohn, 2026, needs more optimization.
19 202 0.211607212375 Henry Cohn, 2026, needs more optimization.
19 203 0.212023097497 Henry Cohn, 2026, needs more optimization.
19 204 0.212310394003 Henry Cohn, 2026, needs more optimization.
19 205 0.212685452332 Henry Cohn, 2026, needs more optimization.
19 206 0.212895489764 Henry Cohn, 2026, needs more optimization.
19 207 0.213597080915 Henry Cohn, 2026, needs more optimization.
19 208 0.214239462352 Henry Cohn, 2026, needs more optimization.
19 209 0.214710942008 Henry Cohn, 2026, needs more optimization.
19 210 0.215123194187 Henry Cohn, 2026, needs more optimization.
19 211 0.215406281010 Henry Cohn, 2026, needs more optimization.
19 212 0.215588804283 Henry Cohn, 2026, needs more optimization.
19 213 0.216096174980 Henry Cohn, 2026, needs more optimization.
19 214 0.216351820619 Henry Cohn, 2026, needs more optimization.
19 215 0.218057341008 Henry Cohn, 2026, needs more optimization.
19 216 0.219012736631 Henry Cohn, 2026, needs more optimization.
19 217 0.219773568773 Henry Cohn, 2026, needs more optimization.
19 218 0.220504865415 Henry Cohn, 2026, needs more optimization.
19 219 0.221098933514 Henry Cohn, 2026, needs more optimization.
19 220 0.221717570363 Henry Cohn, 2026, needs more optimization.
19 221 0.222110572251 Henry Cohn, 2026, needs more optimization.
19 222 0.222589077034 Henry Cohn, 2026, needs more optimization.
19 223 0.222957684576 Henry Cohn, 2026, needs more optimization.
19 224 0.223241183765 Henry Cohn, 2026, needs more optimization.
19 225 0.223444951552 Henry Cohn, 2026, needs more optimization.
19 226 0.223667366525 Henry Cohn, 2026, needs more optimization.
19 227 0.223958617437 Henry Cohn, 2026, needs more optimization.
19 228 0.224163551244 Henry Cohn, 2026, needs more optimization.
19 229 0.224243526067 Henry Cohn, 2026, needs more optimization.
19 230 0.224318601482 Henry Cohn, 2026, needs more optimization.
19 231 0.224475927761 Henry Cohn, 2026, needs more optimization.
19 232 0.224536635284 Henry Cohn, 2026, needs more optimization.
19 233 0.224694582329 Henry Cohn, 2026, needs more optimization.
19 234 0.224756903635 Henry Cohn, 2026, needs more optimization.
19 235 0.225429115830 Henry Cohn, 2026, needs more optimization.
19 236 0.225836083788 Henry Cohn, 2026, needs more optimization.
19 237 0.225948609735 Henry Cohn, 2026, needs more optimization.
19 238 0.225976428276 Henry Cohn, 2026, needs more optimization.
19 239 0.225985867622 Henry Cohn, 2026, needs more optimization.
19 240 0.226452151383 Henry Cohn, 2026, needs more optimization.
19 241 0.226629711226 Henry Cohn, 2026, needs more optimization.
19 242 0.226793276223 Henry Cohn, 2026, needs more optimization.
19 243 0.227021451409 Henry Cohn, 2026, needs more optimization.
19 244 0.228131962348 Henry Cohn, 2026, needs more optimization.
19 245 0.229077790304 Henry Cohn, 2026, needs more optimization.
19 246 0.229613285184 Henry Cohn, 2026, needs more optimization.
19 247 0.230103546102 Henry Cohn, 2026, needs more optimization.
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 0.235891331572 Henry Cohn, 2026, needs more optimization.
19 279 0.237141406063 Henry Cohn, 2026, needs more optimization.
19 280 0.238263395205 Henry Cohn, 2026, needs more optimization.
19 288 0.238519273263 Henry Cohn, 2026, needs more optimization.
19 291 0.238519273264 Henry Cohn, 2026, needs more optimization.
19 292 0.240889101959 Henry Cohn, 2026, needs more optimization.
19 293 0.244040558042 Henry Cohn, 2026, needs more optimization.
19 294 0.244042526391 Henry Cohn, 2026, needs more optimization.
19 295 0.244662143548 Henry Cohn, 2026, needs more optimization.
19 296 0.246050766410 Henry Cohn, 2026, needs more optimization.
19 297 0.246367962653 Henry Cohn, 2026, needs more optimization.
19 298 0.246525676182 Henry Cohn, 2026, needs more optimization.
19 299 0.246779868041 Henry Cohn, 2026, needs more optimization.
19 300 0.248012531452 Henry Cohn, 2026, needs more optimization.
19 301 0.248474002023 Henry Cohn, 2026, needs more optimization.
19 302 0.249538708944 Henry Cohn, 2026, needs more optimization.
19 303 0.249694971321 Henry Cohn, 2026, needs more optimization.
19 304 0.249904991917 Henry Cohn, 2026, needs more optimization.
19 305 0.249965199554 Henry Cohn, 2026, needs more optimization.
19 306 0.249966215215 Henry Cohn, 2026, needs more optimization.
19 307 0.249967821404 Henry Cohn, 2026, needs more optimization.
19 308 0.249968921753 Henry Cohn, 2026, needs more optimization.
19 309 0.249969557346 Henry Cohn, 2026, needs more optimization.
19 310 0.249970477364 Henry Cohn, 2026, needs more optimization.
19 311 0.249974892261 Henry Cohn, 2026, needs more optimization.
19 312 0.249981949087 Henry Cohn, 2026, needs more optimization.
19 313 0.249983909026 Henry Cohn, 2026, needs more optimization.
19 314 0.249984986123 Henry Cohn, 2026, needs more optimization.
19 315 0.249985694075 Henry Cohn, 2026, needs more optimization.
19 316 0.249986919437 Henry Cohn, 2026, needs more optimization.
19 317 0.249987950490 Henry Cohn, 2026, needs more optimization.
19 318 0.249988535102 Henry Cohn, 2026, needs more optimization.
19 319 0.249990237414 Henry Cohn, 2026, needs more optimization.
19 320 0.249996885296 Henry Cohn, 2026, needs more optimization.
19 321 0.250000890422 Henry Cohn, 2026, needs more optimization.
19 322 0.250007740811 Henry Cohn, 2026, needs more optimization.
19 323 0.250011433106 Henry Cohn, 2026, needs more optimization.
19 324 0.250036719125 Henry Cohn, 2026, needs more optimization.
19 325 0.250095277533 Henry Cohn, 2026, needs more optimization.
19 326 0.250248907494 Henry Cohn, 2026, needs more optimization.
19 327 0.250798037811 Henry Cohn, 2026, needs more optimization.
19 328 0.251825055146 Henry Cohn, 2026, needs more optimization.
19 329 0.253050237282 Henry Cohn, 2026, needs more optimization.
19 330 0.253486643427 Henry Cohn, 2026, needs more optimization.
19 331 0.254270078267 Henry Cohn, 2026, needs more optimization.
19 332 0.255861118599 Henry Cohn, 2026, needs more optimization.
19 333 0.256838101523 Henry Cohn, 2026, needs more optimization.
19 334 0.258048617865 Henry Cohn, 2026, needs more optimization.
19 335 0.258074912374 Henry Cohn, 2026, needs more optimization.
19 336 0.258151037621 Henry Cohn, 2026, needs more optimization.
19 337 0.258263602639 Henry Cohn, 2026, needs more optimization.
19 338 0.258320237122 Henry Cohn, 2026, needs more optimization.
19 339 0.258433860317 Henry Cohn, 2026, needs more optimization.
19 340 0.258524126526 Henry Cohn, 2026, needs more optimization.
19 341 0.258588363431 Henry Cohn, 2026, needs more optimization.
19 342 0.258652828726 Henry Cohn, 2026, needs more optimization.
19 343 0.258847968324 Henry Cohn, 2026, needs more optimization.
19 344 0.258853823078 Henry Cohn, 2026, needs more optimization.
19 345 0.258860000086 Henry Cohn, 2026, needs more optimization.
19 346 0.258879237757 Henry Cohn, 2026, needs more optimization.
19 347 0.258903686025 Henry Cohn, 2026, needs more optimization.
19 348 0.258917786539 Henry Cohn, 2026, needs more optimization.
19 349 0.258975461419 Henry Cohn, 2026, needs more optimization.
19 350 0.259107510225 Henry Cohn, 2026, needs more optimization.
19 351 0.259298515847 Henry Cohn, 2026, needs more optimization.
19 352 0.259376603803 Henry Cohn, 2026, needs more optimization.
19 353 0.259464104322 Henry Cohn, 2026, needs more optimization.
19 354 0.259516894474 Henry Cohn, 2026, needs more optimization.
19 355 0.259616953401 Henry Cohn, 2026, needs more optimization.
19 356 0.259664959481 Henry Cohn, 2026, needs more optimization.
19 357 0.259748977517 Henry Cohn, 2026, needs more optimization.
19 358 0.260065178778 Henry Cohn, 2026, needs more optimization.
19 359 0.260206894703 Henry Cohn, 2026, needs more optimization.
19 360 0.260642719845 Henry Cohn, 2026, needs more optimization.
19 361 0.287367388974 Henry Cohn, 2026, needs more optimization.
19 362 0.287367820725 Henry Cohn, 2026, needs more optimization.
19 363 0.287368676845 Henry Cohn, 2026, needs more optimization.
19 364 0.287369723855 Henry Cohn, 2026, needs more optimization.
19 365 0.287370709658 Henry Cohn, 2026, needs more optimization.
19 366 0.287372276825 Henry Cohn, 2026, needs more optimization.
19 367 0.287373401081 Henry Cohn, 2026, needs more optimization.
19 368 0.287374389351 Henry Cohn, 2026, needs more optimization.
19 369 0.287376061329 Henry Cohn, 2026, needs more optimization.
19 370 0.287376731408 Henry Cohn, 2026, needs more optimization.
19 371 0.287377583013 Henry Cohn, 2026, needs more optimization.
19 372 0.287378836336 Henry Cohn, 2026, needs more optimization.
19 373 0.287380360599 Henry Cohn, 2026, needs more optimization.
19 374 0.287381440554 Henry Cohn, 2026, needs more optimization.
19 375 0.287382408108 Henry Cohn, 2026, needs more optimization.
19 376 0.287383054127 Henry Cohn, 2026, needs more optimization.
19 377 0.287384361100 Henry Cohn, 2026, needs more optimization.
19 378 0.287385391599 Henry Cohn, 2026, needs more optimization.
19 379 0.287386176536 Henry Cohn, 2026, needs more optimization.
19 380 0.287387074744 Henry Cohn, 2026, needs more optimization.
19 381 0.287388487263 Henry Cohn, 2026, needs more optimization.
19 382 0.287390264836 Henry Cohn, 2026, needs more optimization.
19 383 0.287391904057 Henry Cohn, 2026, needs more optimization.
19 384 0.287392900903 Henry Cohn, 2026, needs more optimization.
19 385 0.287394925003 Henry Cohn, 2026, needs more optimization.
19 386 0.287397340289 Henry Cohn, 2026, needs more optimization.
19 387 0.287399752493 Henry Cohn, 2026, needs more optimization.
19 388 0.287403499235 Henry Cohn, 2026, needs more optimization.
19 389 0.287407481542 Henry Cohn, 2026, needs more optimization.
19 390 0.287410246182 Henry Cohn, 2026, needs more optimization.
19 391 0.287412151712 Henry Cohn, 2026, needs more optimization.
19 392 0.287415104839 Henry Cohn, 2026, needs more optimization.
19 393 0.287419070655 Henry Cohn, 2026, needs more optimization.
19 394 0.287424752535 Henry Cohn, 2026, needs more optimization.
19 395 0.287428036247 Henry Cohn, 2026, needs more optimization.
19 396 0.287430665009 Henry Cohn, 2026, needs more optimization.
19 397 0.287438480444 Henry Cohn, 2026, needs more optimization.
19 398 0.287631840803 Henry Cohn, 2026, needs more optimization.
19 399 0.287713469278 Henry Cohn, 2026, needs more optimization.
19 400 0.287758593697 Henry Cohn, 2026, needs more optimization.
19 401 0.287771739560 Henry Cohn, 2026, needs more optimization.
19 402 0.287780840446 Henry Cohn, 2026, needs more optimization.
19 403 0.287786427763 Henry Cohn, 2026, needs more optimization.
19 404 0.287791436472 Henry Cohn, 2026, needs more optimization.
19 405 0.287797367259 Henry Cohn, 2026, needs more optimization.
19 406 0.287802693623 Henry Cohn, 2026, needs more optimization.
19 407 0.287810405402 Henry Cohn, 2026, needs more optimization.
19 408 0.287814357712 Henry Cohn, 2026, needs more optimization.
19 409 0.287846425975 Henry Cohn, 2026, needs more optimization.
19 410 0.287852524148 Henry Cohn, 2026, needs more optimization.
19 411 0.287856640697 Henry Cohn, 2026, needs more optimization.
19 412 0.287860355891 Henry Cohn, 2026, needs more optimization.
19 413 0.287881065199 Henry Cohn, 2026, needs more optimization.
19 414 0.287887885237 Henry Cohn, 2026, needs more optimization.
19 415 0.288127957685 Henry Cohn, 2026, needs more optimization.
19 416 0.288149226035 Henry Cohn, 2026, needs more optimization.
19 417 0.288165230394 Henry Cohn, 2026, needs more optimization.
19 418 0.288238133287 Henry Cohn, 2026, needs more optimization.
19 419 0.288287820562 Henry Cohn, 2026, needs more optimization.
19 420 0.288399669548 Henry Cohn, 2026, needs more optimization.
19 421 0.288466427356 Henry Cohn, 2026, needs more optimization.
19 422 0.288513736727 Henry Cohn, 2026, needs more optimization.
19 423 0.288707986888 Henry Cohn, 2026, needs more optimization.
19 424 0.288764278930 Henry Cohn, 2026, needs more optimization.
19 425 0.288946980282 Henry Cohn, 2026, needs more optimization.
19 426 0.288960188822 Henry Cohn, 2026, needs more optimization.
19 427 0.288968387198 Henry Cohn, 2026, needs more optimization.
19 428 0.288976514258 Henry Cohn, 2026, needs more optimization.
19 429 0.289140616504 Henry Cohn, 2026, needs more optimization.
19 430 0.289270696756 Henry Cohn, 2026, needs more optimization.
19 431 0.289291754931 Henry Cohn, 2026, needs more optimization.
19 432 0.289312370446 Henry Cohn, 2026, needs more optimization.
19 433 0.290135414309 Henry Cohn, 2026, needs more optimization.
19 434 0.290140630589 Henry Cohn, 2026, needs more optimization.
19 435 0.290154593029 Henry Cohn, 2026, needs more optimization.
19 436 0.290158074692 Henry Cohn, 2026, needs more optimization.
19 437 0.290178589793 Henry Cohn, 2026, needs more optimization.
19 438 0.290181159431 Henry Cohn, 2026, needs more optimization.
19 439 0.290665827634 Henry Cohn, 2026, needs more optimization.
19 440 0.290689012153 Henry Cohn, 2026, needs more optimization.
19 441 0.290691781015 Henry Cohn, 2026, needs more optimization.
19 442 0.290693998331 Henry Cohn, 2026, needs more optimization.
19 443 0.290696240878 Henry Cohn, 2026, needs more optimization.
19 444 0.290700815282 Henry Cohn, 2026, needs more optimization.
19 445 0.290704127830 Henry Cohn, 2026, needs more optimization.
19 446 0.290706337537 Henry Cohn, 2026, needs more optimization.
19 447 0.290733377058 Henry Cohn, 2026, needs more optimization.
19 448 0.290788787261 Henry Cohn, 2026, needs more optimization.
19 449 0.290797758483 Henry Cohn, 2026, needs more optimization.
19 450 0.290825784811 Henry Cohn, 2026, needs more optimization.
19 451 0.290837560825 Henry Cohn, 2026, needs more optimization.
19 452 0.290911131600 Henry Cohn, 2026, needs more optimization.
19 453 0.290945532349 Henry Cohn, 2026, needs more optimization.
19 454 0.290978772721 Henry Cohn, 2026, needs more optimization.
19 455 0.291069541371 Henry Cohn, 2026, needs more optimization.
19 456 0.291089039544 Henry Cohn, 2026, needs more optimization.
19 457 0.291149419102 Henry Cohn, 2026, needs more optimization.
19 458 0.291190368533 Henry Cohn, 2026, needs more optimization.
19 459 0.291667094040 Henry Cohn, 2026, needs more optimization.
19 460 0.291784256212 Henry Cohn, 2026, needs more optimization.
19 461 0.292969803851 Henry Cohn, 2026, needs more optimization.
19 462 0.293956547417 Henry Cohn, 2026, needs more optimization.
19 463 0.294803959251 Henry Cohn, 2026, needs more optimization.
19 464 0.294969165045 Henry Cohn, 2026, needs more optimization.
19 465 0.295686230094 Henry Cohn, 2026, needs more optimization.
19 466 0.296019909770 Henry Cohn, 2026, needs more optimization.
19 485 0.296296296297 Henry Cohn, 2025.
27⁢x−8
19 487 0.296302066067 Henry Cohn, 2026, needs more optimization.
19 489 0.296302142331 Henry Cohn, 2026, needs more optimization.
19 491 0.296302310648 Henry Cohn, 2026, needs more optimization.
19 492 0.296302412559 Henry Cohn, 2026, needs more optimization.
19 493 0.296302820507 Henry Cohn, 2026, needs more optimization.
19 494 0.296303124799 Henry Cohn, 2026, needs more optimization.
19 495 0.296303888553 Henry Cohn, 2026, needs more optimization.
19 496 0.296304138390 Henry Cohn, 2026, needs more optimization.
19 497 0.296304220123 Henry Cohn, 2026, needs more optimization.
19 501 0.296304494274 Henry Cohn, 2026, needs more optimization.
19 502 0.296305402360 Henry Cohn, 2026, needs more optimization.
19 503 0.296305782657 Henry Cohn, 2026, needs more optimization.
19 504 0.296306071344 Henry Cohn, 2026, needs more optimization.
19 505 0.296307265756 Henry Cohn, 2026, needs more optimization.
19 506 0.296308040870 Henry Cohn, 2026, needs more optimization.
19 507 0.296310271900 Henry Cohn, 2026, needs more optimization.
19 508 0.296310525448 Henry Cohn, 2026, needs more optimization.
19 509 0.296310722871 Henry Cohn, 2026, needs more optimization.
19 510 0.296312412500 Henry Cohn, 2026, needs more optimization.
19 511 0.296313362026 Henry Cohn, 2026, needs more optimization.
19 513 0.296314131943 Henry Cohn, 2026, needs more optimization.
19 514 0.296318187907 Henry Cohn, 2026, needs more optimization.
19 515 0.296318746730 Henry Cohn, 2026, needs more optimization.
19 516 0.296322790440 Henry Cohn, 2026, needs more optimization.
19 517 0.296328130875 Henry Cohn, 2026, needs more optimization.
19 518 0.296342831901 Henry Cohn, 2026, needs more optimization.
19 519 0.296392772623 Henry Cohn, 2026, needs more optimization.
19 520 0.296508813333 Henry Cohn, 2026, needs more optimization.
19 521 0.296614235238 Henry Cohn, 2026, needs more optimization.
19 522 0.296687173464 Henry Cohn, 2026, needs more optimization.
19 523 0.296793365869 Henry Cohn, 2026, needs more optimization.
19 524 0.296978067093 Henry Cohn, 2026, needs more optimization.
19 525 0.297107755468 Henry Cohn, 2026, needs more optimization.
19 526 0.297324498609 Henry Cohn, 2026, needs more optimization.
19 528 0.297646157264 Henry Cohn, 2026, needs more optimization.
19 529 0.297709717604 Henry Cohn, 2026, needs more optimization.
19 530 0.297843882118 Henry Cohn, 2026, needs more optimization.
19 531 0.297872293350 Henry Cohn, 2026, needs more optimization.
19 532 0.297893021021 Henry Cohn, 2026, needs more optimization.
19 533 0.297898036838 Henry Cohn, 2026, needs more optimization.
19 534 0.298137298337 Henry Cohn, 2026, needs more optimization.
19 535 0.298229283392 Henry Cohn, 2026, needs more optimization.
19 538 0.298282651528 Henry Cohn, 2026, needs more optimization.
19 539 0.298346924964 Henry Cohn, 2026, needs more optimization.
19 540 0.298517928915 Henry Cohn, 2026, needs more optimization.
19 541 0.298520410494 Henry Cohn, 2026, needs more optimization.
19 542 0.298549459480 Henry Cohn, 2026, needs more optimization.
19 543 0.298563061120 Henry Cohn, 2026, needs more optimization.
19 544 0.298986272836 Henry Cohn, 2026, needs more optimization.
19 547 0.299029682220 Henry Cohn, 2026, needs more optimization.
19 548 0.299101893973 Henry Cohn, 2026, needs more optimization.
19 550 0.299346536514 Henry Cohn, 2026, needs more optimization.
19 551 0.299448653971 Henry Cohn, 2026, needs more optimization.
19 552 0.299464098729 Henry Cohn, 2026, needs more optimization.
19 553 0.299549757038 Henry Cohn, 2026, needs more optimization.
19 554 0.299732195295 Henry Cohn, 2026, needs more optimization.
19 555 0.299915611670 Henry Cohn, 2026, needs more optimization.
19 556 0.301120816052 Henry Cohn, 2026, needs more optimization.
19 557 0.301882477746 Henry Cohn, 2026, needs more optimization.
19 560 0.304347826087 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
23⁢x−7
19 576 0.304347826087 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.
23⁢x−7
19 577 0.304506845291 Henry Cohn, 2026, needs more optimization.
19 578 0.304544179885 Henry Cohn, 2026, needs more optimization.
19 579 0.304593694529 Henry Cohn, 2026, needs more optimization.
19 580 0.304615329908 Henry Cohn, 2026, needs more optimization.
19 581 0.304620965031 Henry Cohn, 2026, needs more optimization.
19 582 0.304654004306 Henry Cohn, 2026, needs more optimization.
19 583 0.304672744031 Henry Cohn, 2026, needs more optimization.
19 584 0.304687398610 Henry Cohn, 2026, needs more optimization.
19 585 0.304697121449 Henry Cohn, 2026, needs more optimization.
19 586 0.304717514134 Henry Cohn, 2026, needs more optimization.
19 587 0.304742653289 Henry Cohn, 2026, needs more optimization.
19 588 0.304746161910 Henry Cohn, 2026, needs more optimization.
19 589 0.304751881522 Henry Cohn, 2026, needs more optimization.
19 590 0.304779743867 Henry Cohn, 2026, needs more optimization.
19 591 0.304790919226 Henry Cohn, 2026, needs more optimization.
19 592 0.304815417583 Henry Cohn, 2026, needs more optimization.
19 593 0.304832049033 Henry Cohn, 2026, needs more optimization.
19 594 0.304852229854 Henry Cohn, 2026, needs more optimization.
19 595 0.304874410173 Henry Cohn, 2026, needs more optimization.
19 596 0.304881290030 Henry Cohn, 2026, needs more optimization.
19 597 0.304891522871 Henry Cohn, 2026, needs more optimization.
19 598 0.304901859152 Henry Cohn, 2026, needs more optimization.
19 599 0.304914344694 Henry Cohn, 2026, needs more optimization.
19 600 0.304923667940 Henry Cohn, 2026, needs more optimization.
19 601 0.304945802932 Henry Cohn, 2026, needs more optimization.
19 602 0.304949515529 Henry Cohn, 2026, needs more optimization.
19 603 0.304952266550 Henry Cohn, 2026, needs more optimization.
19 604 0.304953689866 Henry Cohn, 2026, needs more optimization.
19 605 0.304979739263 Henry Cohn, 2026, needs more optimization.
19 606 0.304984481466 Henry Cohn, 2026, needs more optimization.
19 607 0.304987743196 Henry Cohn, 2026, needs more optimization.
19 608 0.305012424361 Henry Cohn, 2026, needs more optimization.
19 609 0.305015389660 Henry Cohn, 2026, needs more optimization.
19 610 0.305018461953 Henry Cohn, 2026, needs more optimization.
19 611 0.305024266795 Henry Cohn, 2026, needs more optimization.
19 612 0.305030771753 Henry Cohn, 2026, needs more optimization.
19 613 0.305033778210 Henry Cohn, 2026, needs more optimization.
19 614 0.305037981039 Henry Cohn, 2026, needs more optimization.
19 615 0.305042115127 Henry Cohn, 2026, needs more optimization.
19 616 0.305049262470 Henry Cohn, 2026, needs more optimization.
19 617 0.305054561710 Henry Cohn, 2026, needs more optimization.
19 618 0.305072528828 Henry Cohn, 2026, needs more optimization.
19 619 0.305077067032 Henry Cohn, 2026, needs more optimization.
19 620 0.305080360224 Henry Cohn, 2026, needs more optimization.
19 621 0.305086248139 Henry Cohn, 2026, needs more optimization.
19 622 0.305090799488 Henry Cohn, 2026, needs more optimization.
19 623 0.305093037584 Henry Cohn, 2026, needs more optimization.
19 624 0.305096486604 Henry Cohn, 2026, needs more optimization.
19 625 0.305097836842 Henry Cohn, 2026, needs more optimization.
19 626 0.305107211368 Henry Cohn, 2026, needs more optimization.
19 627 0.305114671913 Henry Cohn, 2026, needs more optimization.
19 628 0.305118703272 Henry Cohn, 2026, needs more optimization.
19 629 0.305123988522 Henry Cohn, 2026, needs more optimization.
19 630 0.305129792733 Henry Cohn, 2026, needs more optimization.
19 631 0.305138472787 Henry Cohn, 2026, needs more optimization.
19 632 0.305145176934 Henry Cohn, 2026, needs more optimization.
19 633 0.305148330116 Henry Cohn, 2026, needs more optimization.
19 634 0.305153002458 Henry Cohn, 2026, needs more optimization.
19 635 0.305156133357 Henry Cohn, 2026, needs more optimization.
19 636 0.305161236873 Henry Cohn, 2026, needs more optimization.
19 637 0.305164832624 Henry Cohn, 2026, needs more optimization.
19 638 0.305169126386 Henry Cohn, 2026, needs more optimization.
19 639 0.305172862379 Henry Cohn, 2026, needs more optimization.
19 640 0.305174954375 Henry Cohn, 2026, needs more optimization.
19 641 0.308283162360 Henry Cohn, 2026, needs more optimization.
19 643 0.308283768580 Henry Cohn, 2026, needs more optimization.
19 644 0.309147471058 Henry Cohn, 2026, needs more optimization.
19 646 0.309761022959 Henry Cohn, 2026, needs more optimization.
19 647 0.310681622607 Henry Cohn, 2026, needs more optimization.
19 648 0.310964486628 Henry Cohn, 2026, needs more optimization.
19 649 0.311344532999 Henry Cohn, 2026, needs more optimization.
19 650 0.311465621825 Henry Cohn, 2026, needs more optimization.
19 651 0.311961713486 Henry Cohn, 2026, needs more optimization.
19 652 0.312219846327 Henry Cohn, 2026, needs more optimization.
19 653 0.312274754239 Henry Cohn, 2026, needs more optimization.
19 654 0.312737399908 Henry Cohn, 2026, needs more optimization.
19 655 0.312989313280 Henry Cohn, 2026, needs more optimization.
19 656 0.313157800183 Henry Cohn, 2026, needs more optimization.
19 657 0.313585017338 Henry Cohn, 2026, needs more optimization.
19 658 0.313805675179 Henry Cohn, 2026, needs more optimization.
19 659 0.314017453209 Henry Cohn, 2026, needs more optimization.
19 660 0.314169589864 Henry Cohn, 2026, needs more optimization.
19 661 0.314401748855 Henry Cohn, 2026, needs more optimization.
19 662 0.314550427626 Henry Cohn, 2026, needs more optimization.
19 663 0.314817240663 Henry Cohn, 2026, needs more optimization.
19 664 0.314979453539 Henry Cohn, 2026, needs more optimization.
19 665 0.315233872405 Henry Cohn, 2026, needs more optimization.
19 666 0.315362192467 Henry Cohn, 2026, needs more optimization.
19 667 0.315399782188 Henry Cohn, 2026, needs more optimization.
19 668 0.315682483942 Henry Cohn, 2026, needs more optimization.
19 669 0.315857489455 Henry Cohn, 2026, needs more optimization.
19 670 0.316113371793 Henry Cohn, 2026, needs more optimization.
19 671 0.316460716831 Henry Cohn, 2026, needs more optimization.
19 672 0.316552154553 Henry Cohn, 2026, needs more optimization.
19 673 0.316707118940 Henry Cohn, 2026, needs more optimization.
19 674 0.316970919284 Henry Cohn, 2026, needs more optimization.
19 675 0.317125724600 Henry Cohn, 2026, needs more optimization.
19 676 0.317252970371 Henry Cohn, 2026, needs more optimization.
19 677 0.317326407835 Henry Cohn, 2026, needs more optimization.
19 678 0.317582486040 Henry Cohn, 2026, needs more optimization.
19 679 0.317936218241 Henry Cohn, 2026, needs more optimization.
19 680 0.318241372602 Henry Cohn, 2026, needs more optimization.
19 681 0.318374623822 Henry Cohn, 2026, needs more optimization.
19 682 0.318729714032 Henry Cohn, 2026, needs more optimization.
19 683 0.318993417172 Henry Cohn, 2026, needs more optimization.
19 684 0.319323576048 Henry Cohn, 2026, needs more optimization.
19 685 0.319458288432 Henry Cohn, 2026, needs more optimization.
19 686 0.319683383616 Henry Cohn, 2026, needs more optimization.
19 687 0.319794638488 Henry Cohn, 2026, needs more optimization.
19 688 0.320181355472 Henry Cohn, 2026, needs more optimization.
19 689 0.320289303214 Henry Cohn, 2026, needs more optimization.
19 690 0.320496326185 Henry Cohn, 2026, needs more optimization.
19 691 0.320738840061 Henry Cohn, 2026, needs more optimization.
19 692 0.321076234352 Henry Cohn, 2026, needs more optimization.
19 693 0.321294002098 Henry Cohn, 2026, needs more optimization.
19 694 0.321413561327 Henry Cohn, 2026, needs more optimization.
19 695 0.321763469567 Henry Cohn, 2026, needs more optimization.
19 696 0.321909466818 Henry Cohn, 2026, needs more optimization.
19 697 0.322140611100 Henry Cohn, 2026, needs more optimization.
19 698 0.322376706977 Henry Cohn, 2026, needs more optimization.
19 699 0.322549398083 Henry Cohn, 2026, needs more optimization.
19 700 0.322615590549 Henry Cohn, 2026, needs more optimization.
19 701 0.322692088616 Henry Cohn, 2026, needs more optimization.
19 702 0.322927338340 Henry Cohn, 2026, needs more optimization.
19 703 0.323196667968 Henry Cohn, 2026, needs more optimization.
19 704 0.323571375925 Henry Cohn, 2026, needs more optimization.
19 705 0.323715390002 Henry Cohn, 2026, needs more optimization.
19 706 0.323808952153 Henry Cohn, 2026, needs more optimization.
19 707 0.323995174823 Henry Cohn, 2026, needs more optimization.
19 708 0.324138944647 Henry Cohn, 2026, needs more optimization.
19 709 0.324312415631 Henry Cohn, 2026, needs more optimization.
19 710 0.324386551957 Henry Cohn, 2026, needs more optimization.
19 711 0.324476865332 Henry Cohn, 2026, needs more optimization.
19 712 0.324556577872 Henry Cohn, 2026, needs more optimization.
19 713 0.324828612538 Henry Cohn, 2026, needs more optimization.
19 714 0.324924730227 Henry Cohn, 2026, needs more optimization.
19 715 0.325146068062 Henry Cohn, 2026, needs more optimization.
19 716 0.325368556730 Henry Cohn, 2026, needs more optimization.
19 717 0.325619558049 Henry Cohn, 2026, needs more optimization.
19 718 0.325810181197 Henry Cohn, 2026, needs more optimization.
19 719 0.326042953422 Henry Cohn, 2026, needs more optimization.
19 720 0.326211035165 Henry Cohn, 2026, needs more optimization.
19 721 0.326328548917 Henry Cohn, 2026, needs more optimization.
19 722 0.326532725714 Henry Cohn, 2026, needs more optimization.
19 723 0.326641336668 Henry Cohn, 2026, needs more optimization.
19 724 0.326717068046 Henry Cohn, 2026, needs more optimization.
19 725 0.326822964839 Henry Cohn, 2026, needs more optimization.
19 726 0.326991237955 Henry Cohn, 2026, needs more optimization.
19 727 0.327099335394 Henry Cohn, 2026, needs more optimization.
19 728 0.327266454621 Henry Cohn, 2026, needs more optimization.
19 729 0.327408109270 Henry Cohn, 2026, needs more optimization.
19 730 0.327712272264 Henry Cohn, 2026, needs more optimization.
19 731 0.327805625649 Henry Cohn, 2026, needs more optimization.
19 732 0.327942119406 Henry Cohn, 2026, needs more optimization.
19 733 0.328136307784 Henry Cohn, 2026, needs more optimization.
19 734 0.328265183283 Henry Cohn, 2026, needs more optimization.
19 735 0.328432786393 Henry Cohn, 2026, needs more optimization.
19 736 0.328576155202 Henry Cohn, 2026, needs more optimization.
19 737 0.328766789775 Henry Cohn, 2026, needs more optimization.
19 738 0.328953094444 Henry Cohn, 2026, needs more optimization.
19 739 0.329147348982 Henry Cohn, 2026, needs more optimization.
19 740 0.329459966756 Henry Cohn, 2026, needs more optimization.
19 741 0.329766761963 Henry Cohn, 2026, needs more optimization.
19 742 0.329881696117 Henry Cohn, 2026, needs more optimization.
19 743 0.330141426222 Henry Cohn, 2026, needs more optimization.
19 744 0.330406524597 Henry Cohn, 2026, needs more optimization.
19 745 0.330494421354 Henry Cohn, 2026, needs more optimization.
19 746 0.330749455350 Henry Cohn, 2026, needs more optimization.
19 747 0.330842623287 Henry Cohn, 2026, needs more optimization.
19 748 0.331096336913 Henry Cohn, 2026, needs more optimization.
19 749 0.331230916365 Henry Cohn, 2026, needs more optimization.
19 750 0.331425839333 Henry Cohn, 2026, needs more optimization.
19 751 0.331655460493 Henry Cohn, 2026, needs more optimization.
19 752 0.331888526360 Henry Cohn, 2026, needs more optimization.
19 753 0.332153134208 Henry Cohn, 2026, needs more optimization.
19 754 0.332352276592 Henry Cohn, 2026, needs more optimization.
19 755 0.332694204490 Henry Cohn, 2026, needs more optimization.
19 756 0.332868818541 Henry Cohn, 2026, needs more optimization.
19 757 0.333081419137 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 0.339484568401 Henry Cohn, 2026, needs more optimization.
19 898 0.341218431648 Henry Cohn, 2026, needs more optimization.
19 899 0.342645569080 Henry Cohn, 2026, needs more optimization.
19 900 0.344039395388 Henry Cohn, 2026, needs more optimization.
19 901 0.345545389849 Henry Cohn, 2026, needs more optimization.
19 902 0.346072548211 Henry Cohn, 2026, needs more optimization.
19 903 0.346859059252 Henry Cohn, 2026, needs more optimization.
19 904 0.347412417822 Henry Cohn, 2026, needs more optimization.
19 905 0.347949840415 Henry Cohn, 2026, needs more optimization.
19 906 0.348400672356 Henry Cohn, 2026, needs more optimization.
19 907 0.349051838330 Henry Cohn, 2026, needs more optimization.
19 908 0.349321734334 Henry Cohn, 2026, needs more optimization.
19 909 0.349744293650 Henry Cohn, 2026, needs more optimization.
19 910 0.350027875460 Henry Cohn, 2026, needs more optimization.
19 911 0.350123870074 Henry Cohn, 2026, needs more optimization.
19 912 0.350880723829 Henry Cohn, 2026, needs more optimization.
19 913 0.351011400883 Henry Cohn, 2026, needs more optimization.
19 914 0.351397739517 Henry Cohn, 2026, needs more optimization.
19 915 0.351517786604 Henry Cohn, 2026, needs more optimization.
19 916 0.351531037932 Henry Cohn, 2026, needs more optimization.
19 917 0.351619501189 Henry Cohn, 2026, needs more optimization.
19 918 0.351664590736 Henry Cohn, 2026, needs more optimization.
19 919 0.351800276326 Henry Cohn, 2026, needs more optimization.
19 920 0.351920189806 Henry Cohn, 2026, needs more optimization.
19 921 0.352111996445 Henry Cohn, 2026, needs more optimization.
19 922 0.352196164486 Henry Cohn, 2026, needs more optimization.
19 923 0.352273788968 Henry Cohn, 2026, needs more optimization.
19 924 0.352470887912 Henry Cohn, 2026, needs more optimization.
19 925 0.352538293073 Henry Cohn, 2026, needs more optimization.
19 926 0.352739963180 Henry Cohn, 2026, needs more optimization.
19 927 0.352997840595 Henry Cohn, 2026, needs more optimization.
19 928 0.353090955728 Henry Cohn, 2026, needs more optimization.
19 929 0.353230420678 Henry Cohn, 2026, needs more optimization.
19 930 0.353435076089 Henry Cohn, 2026, needs more optimization.
19 931 0.353686706140 Henry Cohn, 2026, needs more optimization.
19 932 0.353783146162 Henry Cohn, 2026, needs more optimization.
19 933 0.353871222440 Henry Cohn, 2026, needs more optimization.
19 934 0.354038520919 Henry Cohn, 2026, needs more optimization.
19 935 0.354198532308 Henry Cohn, 2026, needs more optimization.
19 936 0.354343602758 Henry Cohn, 2026, needs more optimization.
19 937 0.354523625015 Henry Cohn, 2026, needs more optimization.
19 938 0.354688802817 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 0.087640553689 Henry Cohn, 2026, needs more optimization.
20 66 0.089602007874 Henry Cohn, 2026.
20 67 0.090150903490 Henry Cohn, 2026.
2103⁢x4−1376⁢x3+230⁢x2−1
20 68 0.092978419163 Henry Cohn, 2026.
20 69 0.098517496575 Henry Cohn, 2026, needs more optimization.
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 0.112895349919 Henry Cohn, 2026, needs more optimization.
20 84 0.112895349921 Henry Cohn, 2026, needs more optimization.
20 85 0.112902505496 Henry Cohn, 2026, needs more optimization.
20 86 0.112908499193 Henry Cohn, 2026, needs more optimization.
20 87 0.112912074804 Henry Cohn, 2025, needs more optimization.
20 88 0.112912612812 Henry Cohn, 2025, needs more optimization.
20 89 0.112912613185 Henry Cohn, 2025, needs more optimization.
20 92 0.112912613537 Henry Cohn, 2025.
167⁢x2−10⁢x−1
20 93 0.118699001808 Henry Cohn, 2026, needs more optimization.
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, needs more optimization.
20 125 0.147670835572 Henry Cohn, 2026.
20 126 0.149455666211 Henry Cohn, 2026, needs more optimization.
20 127 0.150044733053 Henry Cohn, 2026, needs more optimization.
20 128 0.150089331134 Henry Cohn, 2026, needs more optimization.
20 129 0.150480172490 Henry Cohn, 2026, needs more optimization.
20 130 0.150480311685 Henry Cohn, 2026, needs more optimization.
20 131 0.150517754501 Henry Cohn, 2026, needs more optimization.
20 132 0.150538941310 Henry Cohn, 2026, needs more optimization.
20 133 0.151453018245 Henry Cohn, 2026, needs more optimization.
20 136 0.151500526411 Henry Cohn, 2026, needs more optimization.
20 137 0.153202651092 Henry Cohn, 2026, needs more optimization.
20 138 0.154394154292 Henry Cohn, 2026, needs more optimization.
20 139 0.154994532894 Henry Cohn, 2026, needs more optimization.
20 140 0.156027125137 Henry Cohn, 2026, needs more optimization.
20 141 0.157229456154 Henry Cohn, 2026, needs more optimization.
20 142 0.161809087523 Henry Cohn, 2026, needs more optimization.
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 0.181540268746 Henry Cohn, 2026, needs more optimization.
20 172 0.187906243416 Henry Cohn, 2026, needs more optimization.
20 173 0.189191143609 Henry Cohn, 2026, needs more optimization.
20 174 0.189191202430 Henry Cohn, 2026, needs more optimization.
20 175 0.189191270623 Henry Cohn, 2026, needs more optimization.
20 176 0.189191307359 Henry Cohn, 2026, needs more optimization.
20 177 0.189191397362 Henry Cohn, 2026, needs more optimization.
20 178 0.189191519260 Henry Cohn, 2026, needs more optimization.
20 179 0.189191639520 Henry Cohn, 2026, needs more optimization.
20 180 0.189191731086 Henry Cohn, 2026, needs more optimization.
20 181 0.189191808410 Henry Cohn, 2026, needs more optimization.
20 182 0.189191966131 Henry Cohn, 2026, needs more optimization.
20 183 0.189192098598 Henry Cohn, 2026, needs more optimization.
20 184 0.189192200918 Henry Cohn, 2026, needs more optimization.
20 185 0.189192300489 Henry Cohn, 2026, needs more optimization.
20 186 0.189192455532 Henry Cohn, 2026, needs more optimization.
20 187 0.189192603942 Henry Cohn, 2026, needs more optimization.
20 188 0.189192742009 Henry Cohn, 2026, needs more optimization.
20 189 0.189194102803 Henry Cohn, 2026, needs more optimization.
20 190 0.189194319811 Henry Cohn, 2026, needs more optimization.
20 191 0.189888371580 Henry Cohn, 2026, needs more optimization.
20 195 0.191919249433 Henry Cohn, 2026, needs more optimization.
20 201 0.191919249978 Henry Cohn, 2026, needs more optimization.
20 202 0.191919789874 Henry Cohn, 2026, needs more optimization.
20 203 0.191930137864 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, needs more optimization.
20 258 0.205920911961 Henry Cohn, 2026, needs more optimization.
20 259 0.207516721309 Henry Cohn, 2026, needs more optimization.
20 262 0.208386799892 Henry Cohn, 2026, needs more optimization.
20 263 0.208834164016 Henry Cohn, 2026, needs more optimization.
20 264 0.208834164080 Henry Cohn, 2026, needs more optimization.
20 265 0.212161870325 Henry Cohn, 2026, needs more optimization.
20 266 0.212396586908 Henry Cohn, 2026, needs more optimization.
20 267 0.213292084133 Henry Cohn, 2026, needs more optimization.
20 268 0.213333456761 Henry Cohn, 2026, needs more optimization.
20 269 0.213342177086 Henry Cohn, 2026, needs more optimization.
20 270 0.213414867682 Henry Cohn, 2026, needs more optimization.
20 271 0.213860831326 Henry Cohn, 2026, needs more optimization.
20 272 0.215399747604 Henry Cohn, 2026, needs more optimization.
20 273 0.215513928039 Henry Cohn, 2026, needs more optimization.
20 274 0.215591028365 Henry Cohn, 2026, needs more optimization.
20 275 0.215829429188 Henry Cohn, 2026, needs more optimization.
20 276 0.215929109561 Henry Cohn, 2026, needs more optimization.
20 277 0.215981437712 Henry Cohn, 2026, needs more optimization.
20 278 0.216160447503 Henry Cohn, 2026, needs more optimization.
20 279 0.216312959607 Henry Cohn, 2026, needs more optimization.
20 280 0.216552214062 Henry Cohn, 2026, needs more optimization.
20 281 0.216765152221 Henry Cohn, 2026, needs more optimization.
20 282 0.217059841977 Henry Cohn, 2026, needs more optimization.
20 283 0.217450240568 Henry Cohn, 2026, needs more optimization.
20 284 0.217933396172 Henry Cohn, 2026, needs more optimization.
20 285 0.218271141664 Henry Cohn, 2026, needs more optimization.
20 286 0.218626302999 Henry Cohn, 2026, needs more optimization.
20 287 0.218962733424 Henry Cohn, 2026, needs more optimization.
20 288 0.219757211741 Henry Cohn, 2026, needs more optimization.
20 289 0.220197102570 Henry Cohn, 2026, needs more optimization.
20 290 0.220501252045 Henry Cohn, 2026, needs more optimization.
20 291 0.220669085589 Henry Cohn, 2026, needs more optimization.
20 292 0.220694372442 Henry Cohn, 2026, needs more optimization.
20 293 0.220694394151 Henry Cohn, 2026, needs more optimization.
20 294 0.220694933877 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
20 378 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 0.242774565706 Henry Cohn, 2026, needs more optimization.
20 380 0.244553384445 Henry Cohn, 2026, needs more optimization.
20 381 0.245517154991 Henry Cohn, 2026, needs more optimization.
20 382 0.246801717336 Henry Cohn, 2026, needs more optimization.
20 383 0.247228875671 Henry Cohn, 2026, needs more optimization.
20 384 0.248125614041 Henry Cohn, 2026, needs more optimization.
20 385 0.249163180341 Henry Cohn, 2026, needs more optimization.
20 386 0.249972749729 Henry Cohn, 2026, needs more optimization.
20 405 0.25 C. Ma, T. T. Zhaowei, 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 0.262179510393 Henry Cohn, 2026, needs more optimization.
20 407 0.264992588475 Henry Cohn, 2026, needs more optimization.
20 473 0.266666666667 Henry Cohn, 2025.
15⁢x−4
20 474 0.269857967279 Henry Cohn, 2026, needs more optimization.
20 475 0.271268170563 Henry Cohn, 2026, needs more optimization.
20 476 0.272602361811 Henry Cohn, 2026, needs more optimization.
20 477 0.273427023276 Henry Cohn, 2026, needs more optimization.
20 478 0.274354195097 Henry Cohn, 2026, needs more optimization.
20 479 0.275156080454 Henry Cohn, 2026, needs more optimization.
20 480 0.275395006181 Henry Cohn, 2026, needs more optimization.
20 481 0.275396786753 Henry Cohn, 2026, needs more optimization.
20 482 0.275402974704 Henry Cohn, 2026, needs more optimization.
20 483 0.275416794805 Henry Cohn, 2026, needs more optimization.
20 484 0.275419844668 Henry Cohn, 2026, needs more optimization.
20 485 0.275436644990 Henry Cohn, 2026, needs more optimization.
20 486 0.275442921733 Henry Cohn, 2026, needs more optimization.
20 487 0.275450978142 Henry Cohn, 2026, needs more optimization.
20 489 0.275459343194 Henry Cohn, 2026, needs more optimization.
20 490 0.275463383501 Henry Cohn, 2026, needs more optimization.
20 491 0.275463975833 Henry Cohn, 2026, needs more optimization.
20 492 0.275465408690 Henry Cohn, 2026, needs more optimization.
20 494 0.275468231728 Henry Cohn, 2026, needs more optimization.
20 497 0.275483290711 Henry Cohn, 2026, needs more optimization.
20 498 0.275491498971 Henry Cohn, 2026, needs more optimization.
20 499 0.281077845265 Henry Cohn, 2026, needs more optimization.
20 500 0.281183500891 Henry Cohn, 2026, needs more optimization.
20 501 0.281279955898 Henry Cohn, 2026, needs more optimization.
20 502 0.281281435772 Henry Cohn, 2026, needs more optimization.
20 503 0.281344175575 Henry Cohn, 2026, needs more optimization.
20 504 0.282698756122 Henry Cohn, 2026, needs more optimization.
20 511 0.283343212159 Henry Cohn, 2026, needs more optimization.
20 520 0.287891315628 Henry Cohn, 2026, needs more optimization.
20 521 0.289340728201 Henry Cohn, 2026, needs more optimization.
20 522 0.289726811056 Henry Cohn, 2026, needs more optimization.
20 544 0.289726812929 Henry Cohn, 2026, needs more optimization.
20 550 0.289726813054 Henry Cohn, 2026, needs more optimization.
20 552 0.289734759773 Henry Cohn, 2026, needs more optimization.
20 553 0.291238404411 Henry Cohn, 2026, needs more optimization.
20 554 0.292502856930 Henry Cohn, 2026, needs more optimization.
20 555 0.293219740864 Henry Cohn, 2026, needs more optimization.
20 556 0.293631654635 Henry Cohn, 2026, needs more optimization.
20 557 0.293820806860 Henry Cohn, 2026, needs more optimization.
20 558 0.300240990342 Henry Cohn, 2026, needs more optimization.
20 560 0.300268229184 Henry Cohn, 2026, needs more optimization.
20 561 0.300339286010 Henry Cohn, 2026, needs more optimization.
20 562 0.300510678247 Henry Cohn, 2026, needs more optimization.
20 563 0.300676330182 Henry Cohn, 2026, needs more optimization.
20 564 0.302894441707 Henry Cohn, 2026, needs more optimization.
20 565 0.303035893473 Henry Cohn, 2026, needs more optimization.
20 566 0.303175343784 Henry Cohn, 2026, needs more optimization.
20 567 0.303422355363 Henry Cohn, 2026, needs more optimization.
20 568 0.303650698489 Henry Cohn, 2026, needs more optimization.
20 673 0.304347826087 Henry Cohn, 2025.
23⁢x−7
20 674 0.304358208642 Henry Cohn, 2026, needs more optimization.
20 678 0.304362723105 Henry Cohn, 2026, needs more optimization.
20 681 0.304365948431 Henry Cohn, 2026, needs more optimization.
20 682 0.304366014514 Henry Cohn, 2026, needs more optimization.
20 686 0.304366811817 Henry Cohn, 2026, needs more optimization.
20 687 0.304369327956 Henry Cohn, 2026, needs more optimization.
20 688 0.304381259445 Henry Cohn, 2026, needs more optimization.
20 694 0.304409749699 Henry Cohn, 2026, needs more optimization.
20 695 0.304431961972 Henry Cohn, 2026, needs more optimization.
20 697 0.304432373797 Henry Cohn, 2026, needs more optimization.
20 698 0.304466148763 Henry Cohn, 2026, needs more optimization.
20 699 0.304525619778 Henry Cohn, 2026, needs more optimization.
20 700 0.304557225699 Henry Cohn, 2026, needs more optimization.
20 701 0.304668803381 Henry Cohn, 2026, needs more optimization.
20 703 0.304711767363 Henry Cohn, 2026, needs more optimization.
20 704 0.304887442093 Henry Cohn, 2026, needs more optimization.
20 705 0.304888756245 Henry Cohn, 2026, needs more optimization.
20 706 0.305137134192 Henry Cohn, 2026, needs more optimization.
20 707 0.305206845473 Henry Cohn, 2026, needs more optimization.
20 708 0.305308719360 Henry Cohn, 2026, needs more optimization.
20 709 0.305328138900 Henry Cohn, 2026, needs more optimization.
20 711 0.305328256764 Henry Cohn, 2026, needs more optimization.
20 712 0.305418892135 Henry Cohn, 2026, needs more optimization.
20 713 0.305580316378 Henry Cohn, 2026, needs more optimization.
20 714 0.305612388143 Henry Cohn, 2026, needs more optimization.
20 719 0.305773475421 Henry Cohn, 2026, needs more optimization.
20 720 0.305847868011 Henry Cohn, 2026, needs more optimization.
20 721 0.306015729255 Henry Cohn, 2026, needs more optimization.
20 722 0.306050589682 Henry Cohn, 2026, needs more optimization.
20 723 0.306106323683 Henry Cohn, 2026, needs more optimization.
20 727 0.306253605371 Henry Cohn, 2026, needs more optimization.
20 728 0.306272556336 Henry Cohn, 2026, needs more optimization.
20 729 0.306274466666 Henry Cohn, 2026, needs more optimization.
20 730 0.306565297366 Henry Cohn, 2026, needs more optimization.
20 731 0.306701404716 Henry Cohn, 2026, needs more optimization.
20 732 0.307039529092 Henry Cohn, 2026, needs more optimization.
20 733 0.307213779112 Henry Cohn, 2026, needs more optimization.
20 734 0.307213808845 Henry Cohn, 2026, needs more optimization.
20 735 0.307322871003 Henry Cohn, 2026, needs more optimization.
20 737 0.307356075399 Henry Cohn, 2026, needs more optimization.
20 738 0.307497099930 Henry Cohn, 2026, needs more optimization.
20 739 0.307646008859 Henry Cohn, 2026, needs more optimization.
20 740 0.307727084493 Henry Cohn, 2026, needs more optimization.
20 742 0.307828655143 Henry Cohn, 2026, needs more optimization.
20 743 0.307840884286 Henry Cohn, 2026, needs more optimization.
20 744 0.308013231766 Henry Cohn, 2026, needs more optimization.
20 746 0.308028899310 Henry Cohn, 2026, needs more optimization.
20 747 0.308055877334 Henry Cohn, 2026, needs more optimization.
20 748 0.308069379745 Henry Cohn, 2026, needs more optimization.
20 750 0.308108824810 Henry Cohn, 2026, needs more optimization.
20 752 0.308125538795 Henry Cohn, 2026, needs more optimization.
20 753 0.308169256598 Henry Cohn, 2026, needs more optimization.
20 754 0.308194948942 Henry Cohn, 2026, needs more optimization.
20 756 0.308214895654 Henry Cohn, 2026, needs more optimization.
20 758 0.308222807618 Henry Cohn, 2026, needs more optimization.
20 759 0.308252122918 Henry Cohn, 2026, needs more optimization.
20 760 0.308279613872 Henry Cohn, 2026, needs more optimization.
20 761 0.308309458414 Henry Cohn, 2026, needs more optimization.
20 763 0.309065609247 Henry Cohn, 2026, needs more optimization.
20 764 0.309077934062 Henry Cohn, 2026, needs more optimization.
20 765 0.309085331739 Henry Cohn, 2026, needs more optimization.
20 766 0.309088133527 Henry Cohn, 2026, needs more optimization.
20 767 0.309439035937 Henry Cohn, 2026, needs more optimization.
20 771 0.309477307933 Henry Cohn, 2026, needs more optimization.
20 773 0.309524416267 Henry Cohn, 2026, needs more optimization.
20 774 0.309591219909 Henry Cohn, 2026, needs more optimization.
20 775 0.309656371922 Henry Cohn, 2026, needs more optimization.
20 777 0.309676472063 Henry Cohn, 2026, needs more optimization.
20 778 0.309770039277 Henry Cohn, 2026, needs more optimization.
20 779 0.309944563157 Henry Cohn, 2026, needs more optimization.
20 780 0.310083322759 Henry Cohn, 2026, needs more optimization.
20 781 0.310142939270 Henry Cohn, 2026, needs more optimization.
20 782 0.310404318368 Henry Cohn, 2026, needs more optimization.
20 783 0.310783941217 Henry Cohn, 2026, needs more optimization.
20 784 0.311157059000 Henry Cohn, 2026, needs more optimization.
20 785 0.311228379580 Henry Cohn, 2026, needs more optimization.
20 896 0.311475409837 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
61⁢x−19
20 897 0.312148003960 Henry Cohn, 2026, needs more optimization.
20 898 0.312334799780 Henry Cohn, 2026, needs more optimization.
20 899 0.312502674893 Henry Cohn, 2026, needs more optimization.
20 900 0.312535130583 Henry Cohn, 2026, needs more optimization.
20 901 0.312678669163 Henry Cohn, 2026, needs more optimization.
20 902 0.312824876969 Henry Cohn, 2026, needs more optimization.
20 903 0.312928458603 Henry Cohn, 2026, needs more optimization.
20 904 0.312982612953 Henry Cohn, 2026, needs more optimization.
20 905 0.312997834828 Henry Cohn, 2026, needs more optimization.
20 906 0.313124201212 Henry Cohn, 2026, needs more optimization.
20 907 0.313157966794 Henry Cohn, 2026, needs more optimization.
20 908 0.313269275702 Henry Cohn, 2026, needs more optimization.
20 909 0.313291184108 Henry Cohn, 2026, needs more optimization.
20 910 0.313359536879 Henry Cohn, 2026, needs more optimization.
20 911 0.313412018689 Henry Cohn, 2026, needs more optimization.
20 912 0.313456001417 Henry Cohn, 2026, needs more optimization.
20 913 0.313483342317 Henry Cohn, 2026, needs more optimization.
20 914 0.313567179882 Henry Cohn, 2026, needs more optimization.
20 915 0.313657825503 Henry Cohn, 2026, needs more optimization.
20 916 0.313689185245 Henry Cohn, 2026, needs more optimization.
20 917 0.313704288217 Henry Cohn, 2026, needs more optimization.
20 918 0.313767938376 Henry Cohn, 2026, needs more optimization.
20 919 0.313809711254 Henry Cohn, 2026, needs more optimization.
20 920 0.313821753717 Henry Cohn, 2026, needs more optimization.
20 921 0.313849399729 Henry Cohn, 2026, needs more optimization.
20 922 0.313882969206 Henry Cohn, 2026, needs more optimization.
20 923 0.313891791134 Henry Cohn, 2026, needs more optimization.
20 924 0.313896470232 Henry Cohn, 2026, needs more optimization.
20 925 0.313903877161 Henry Cohn, 2026, needs more optimization.
20 926 0.313932743468 Henry Cohn, 2026, needs more optimization.
20 927 0.313976126651 Henry Cohn, 2026, needs more optimization.
20 928 0.313987096650 Henry Cohn, 2026, needs more optimization.
20 929 0.314019415126 Henry Cohn, 2026, needs more optimization.
20 930 0.314060382132 Henry Cohn, 2026, needs more optimization.
20 931 0.314095401116 Henry Cohn, 2026, needs more optimization.
20 932 0.314105414716 Henry Cohn, 2026, needs more optimization.
20 933 0.314130815788 Henry Cohn, 2026, needs more optimization.
20 934 0.314138377266 Henry Cohn, 2026, needs more optimization.
20 935 0.314146139557 Henry Cohn, 2026, needs more optimization.
20 936 0.314148192896 Henry Cohn, 2026, needs more optimization.
20 937 0.314162408472 Henry Cohn, 2026, needs more optimization.
20 938 0.314173973895 Henry Cohn, 2026, needs more optimization.
20 939 0.314188494789 Henry Cohn, 2026, needs more optimization.
20 940 0.314247841153 Henry Cohn, 2026, needs more optimization.
20 941 0.314268150111 Henry Cohn, 2026, needs more optimization.
20 942 0.314280076412 Henry Cohn, 2026, needs more optimization.
20 943 0.314302896893 Henry Cohn, 2026, needs more optimization.
20 944 0.314310558267 Henry Cohn, 2026, needs more optimization.
20 945 0.314323784116 Henry Cohn, 2026, needs more optimization.
20 946 0.314337699210 Henry Cohn, 2026, needs more optimization.
20 947 0.314358056623 Henry Cohn, 2026, needs more optimization.
20 948 0.314389395166 Henry Cohn, 2026, needs more optimization.
20 949 0.314405870312 Henry Cohn, 2026, needs more optimization.
20 950 0.314426869619 Henry Cohn, 2026, needs more optimization.
20 951 0.314452221534 Henry Cohn, 2026, needs more optimization.
20 952 0.314458294723 Henry Cohn, 2026, needs more optimization.
20 953 0.314464350616 Henry Cohn, 2026, needs more optimization.
20 954 0.314500912913 Henry Cohn, 2026, needs more optimization.
20 955 0.314528896989 Henry Cohn, 2026, needs more optimization.
20 956 0.314553955096 Henry Cohn, 2026, needs more optimization.
20 957 0.314566553688 Henry Cohn, 2026, needs more optimization.
20 958 0.314580635862 Henry Cohn, 2026, needs more optimization.
20 959 0.314596423130 Henry Cohn, 2026, needs more optimization.
20 960 0.314608007053 Henry Cohn, 2026, needs more optimization.
20 961 0.314621584946 Henry Cohn, 2026, needs more optimization.
20 962 0.314640337377 Henry Cohn, 2026, needs more optimization.
20 963 0.314645939956 Henry Cohn, 2026, needs more optimization.
20 964 0.314653666340 Henry Cohn, 2026, needs more optimization.
20 965 0.314661749999 Henry Cohn, 2026, needs more optimization.
20 966 0.314668360655 Henry Cohn, 2026, needs more optimization.
20 967 0.314678438983 Henry Cohn, 2026, needs more optimization.
20 968 0.314691494481 Henry Cohn, 2026, needs more optimization.
20 969 0.314696548049 Henry Cohn, 2026, needs more optimization.
20 970 0.314701383628 Henry Cohn, 2026, needs more optimization.
20 972 0.316585558927 Henry Cohn, 2026, needs more optimization.
20 976 0.316593372163 Henry Cohn, 2026, needs more optimization.
20 977 0.316595164661 Henry Cohn, 2026, needs more optimization.
20 978 0.317272088882 Henry Cohn, 2026, needs more optimization.
20 980 0.318114476474 Henry Cohn, 2026, needs more optimization.
20 981 0.318127676278 Henry Cohn, 2026, needs more optimization.
20 982 0.318135512245 Henry Cohn, 2026, needs more optimization.
20 984 0.318138393023 Henry Cohn, 2026, needs more optimization.
20 988 0.318153746872 Henry Cohn, 2026, needs more optimization.
20 989 0.318160373237 Henry Cohn, 2026, needs more optimization.
20 990 0.318468116653 Henry Cohn, 2026, needs more optimization.
20 991 0.319244874449 Henry Cohn, 2026, needs more optimization.
20 992 0.319629739124 Henry Cohn, 2026, needs more optimization.
20 993 0.320385605738 Henry Cohn, 2026, needs more optimization.
20 994 0.320385876778 Henry Cohn, 2026, needs more optimization.
20 995 0.321257426834 Henry Cohn, 2026, needs more optimization.
20 996 0.321270984114 Henry Cohn, 2026, needs more optimization.
20 997 0.321839287203 Henry Cohn, 2026, needs more optimization.
20 998 0.321842008427 Henry Cohn, 2026, needs more optimization.
20 1000 0.322127003229 Henry Cohn, 2026, needs more optimization.
20 1001 0.322129623021 Henry Cohn, 2026, needs more optimization.
20 1002 0.322130607055 Henry Cohn, 2026, needs more optimization.
20 1006 0.323108462683 Henry Cohn, 2026, needs more optimization.
20 1008 0.323205655518 Henry Cohn, 2026, needs more optimization.
20 1009 0.323498509611 Henry Cohn, 2026, needs more optimization.
20 1010 0.323512587719 Henry Cohn, 2026, needs more optimization.
20 1011 0.323917413511 Henry Cohn, 2026, needs more optimization.
20 1015 0.323920896056 Henry Cohn, 2026, needs more optimization.
20 1017 0.324017276479 Henry Cohn, 2026, needs more optimization.
20 1020 0.324157434430 Henry Cohn, 2026, needs more optimization.
20 1021 0.324243811023 Henry Cohn, 2026, needs more optimization.
20 1022 0.324253213675 Henry Cohn, 2026, needs more optimization.
20 1023 0.324776449183 Henry Cohn, 2026, needs more optimization.
20 1024 0.324776552083 Henry Cohn, 2026, needs more optimization.
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 0.058803648698 Henry Cohn, 2024.
21 52 0.062635030303 Henry Cohn, 2026.
21 53 0.066665620363 Henry Cohn, 2025.
21 54 0.066665850459 Henry Cohn, 2025.
21 55 0.066666409280 Henry Cohn, 2025.
21 56 0.066666653891 Henry Cohn, 2025, needs more optimization.
21 57 0.066666662289 Henry Cohn, 2025, needs more optimization.
21 58 0.066666666335 Henry Cohn, 2026, needs more optimization.
21 59 0.072019011748 Henry Cohn, 2025.
21 60 0.074662292991 Henry Cohn, 2026.
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 0.081966984741 Henry Cohn, 2026.
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 0.093247656078 Henry Cohn, 2026.
21 82 0.093297851017 Henry Cohn, 2026.
144⁢x4−840⁢x3+192⁢x2−1
21 83 0.095523255230 Henry Cohn, 2026, needs more optimization.
21 84 0.096073235107 Henry Cohn, 2026, needs more optimization.
21 85 0.097702080330 Henry Cohn, 2026, needs more optimization.
21 86 0.104649382361 Henry Cohn, 2026, needs more optimization.
21 88 0.106199014100 Henry Cohn, 2026, needs more optimization.
21 89 0.108845760578 Henry Cohn, 2026, needs more optimization.
21 90 0.109639633905 Henry Cohn, 2026, needs more optimization.
21 92 0.109918568059 Henry Cohn, 2026, needs more optimization.
21 93 0.110695598499 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.
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 0.139345069179 Henry Cohn, 2026, needs more optimization.
21 121 0.139345419243 Henry Cohn, 2026, needs more optimization.
21 122 0.139345448542 Henry Cohn, 2026, needs more optimization.
21 123 0.139390045095 Henry Cohn, 2026, needs more optimization.
21 124 0.140535690962 Henry Cohn, 2026, needs more optimization.
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.
21 164 0.160006209135 Henry Cohn, 2026, needs more optimization.
21 165 0.160006477774 Henry Cohn, 2026, needs more optimization.
21 166 0.161613157457 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 0.172187000250 Henry Cohn, 2026, needs more optimization.
21 200 0.174791372016 Henry Cohn, 2026, needs more optimization.
21 201 0.174791438483 Henry Cohn, 2026, needs more optimization.
21 202 0.174882933932 Henry Cohn, 2026, needs more optimization.
21 203 0.174941736856 Henry Cohn, 2026, needs more optimization.
21 204 0.175040842006 Henry Cohn, 2026, needs more optimization.
21 205 0.175127083647 Henry Cohn, 2026, needs more optimization.
21 206 0.175196276425 Henry Cohn, 2026, needs more optimization.
21 207 0.175234887837 Henry Cohn, 2026, needs more optimization.
21 208 0.175255203904 Henry Cohn, 2026, needs more optimization.
21 209 0.175256088534 Henry Cohn, 2026, needs more optimization.
21 210 0.175867232614 Henry Cohn, 2026, needs more optimization.
21 211 0.176009894872 Henry Cohn, 2026, needs more optimization.
21 212 0.176297541985 Henry Cohn, 2026, needs more optimization.
21 213 0.176449021998 Henry Cohn, 2026, needs more optimization.
21 214 0.176740548994 Henry Cohn, 2026, needs more optimization.
21 215 0.176914140065 Henry Cohn, 2026, needs more optimization.
21 216 0.177026191478 Henry Cohn, 2026, needs more optimization.
21 217 0.177199107491 Henry Cohn, 2026, needs more optimization.
21 218 0.177286556405 Henry Cohn, 2026, needs more optimization.
21 219 0.177401695423 Henry Cohn, 2026, needs more optimization.
21 220 0.177468399018 Henry Cohn, 2026, needs more optimization.
21 221 0.177482650972 Henry Cohn, 2026, needs more optimization.
21 224 0.177492046263 Henry Cohn, 2026, needs more optimization.
21 225 0.178085751307 Henry Cohn, 2026, needs more optimization.
21 226 0.185484136405 Henry Cohn, 2026, needs more optimization.
21 227 0.190603802819 Henry Cohn, 2026, needs more optimization.
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
21 234 0.192307929309 Henry Cohn, 2026, needs more optimization.
21 235 0.192308006431 Henry Cohn, 2026, needs more optimization.
21 236 0.194581151732 Henry Cohn, 2026, needs more optimization.
21 237 0.195402544606 Henry Cohn, 2026, needs more optimization.
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.
21 354 0.230772772514 Henry Cohn, 2026, needs more optimization.
21 355 0.230772909532 Henry Cohn, 2026, needs more optimization.
21 357 0.230773081617 Henry Cohn, 2026, needs more optimization.
21 360 0.230773153905 Henry Cohn, 2026, needs more optimization.
21 361 0.230773158893 Henry Cohn, 2026, needs more optimization.
21 363 0.230773229228 Henry Cohn, 2026, needs more optimization.
21 364 0.230773381094 Henry Cohn, 2026, needs more optimization.
21 365 0.230773401561 Henry Cohn, 2026, needs more optimization.
21 366 0.230773543581 Henry Cohn, 2026, needs more optimization.
21 367 0.230773634610 Henry Cohn, 2026, needs more optimization.
21 371 0.230773669003 Henry Cohn, 2026, needs more optimization.
21 373 0.230773721622 Henry Cohn, 2026, needs more optimization.
21 374 0.230773848185 Henry Cohn, 2026, needs more optimization.
21 375 0.230774046804 Henry Cohn, 2026, needs more optimization.
21 381 0.230774098470 Henry Cohn, 2026, needs more optimization.
21 387 0.230774143511 Henry Cohn, 2026, needs more optimization.
21 388 0.230774482782 Henry Cohn, 2026, needs more optimization.
21 390 0.230774640382 Henry Cohn, 2026, needs more optimization.
21 391 0.230774887378 Henry Cohn, 2026, needs more optimization.
21 394 0.230775372959 Henry Cohn, 2026, needs more optimization.
21 395 0.230775728466 Henry Cohn, 2026, needs more optimization.
21 396 0.233060017527 Henry Cohn, 2026, needs more optimization.
21 397 0.237335878939 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. T. Zhaowei, 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 0.253543962606 Henry Cohn, 2026, needs more optimization.
21 569 0.254512429757 Henry Cohn, 2026, needs more optimization.
21 570 0.255072020739 Henry Cohn, 2026, needs more optimization.
21 571 0.255483154361 Henry Cohn, 2026, needs more optimization.
21 572 0.255809179132 Henry Cohn, 2026, needs more optimization.
21 573 0.256128287087 Henry Cohn, 2026, needs more optimization.
21 574 0.256388377104 Henry Cohn, 2026, needs more optimization.
21 575 0.256604672130 Henry Cohn, 2026, needs more optimization.
21 576 0.256821106708 Henry Cohn, 2026, needs more optimization.
21 577 0.257069372139 Henry Cohn, 2026, needs more optimization.
21 578 0.257281634021 Henry Cohn, 2026, needs more optimization.
21 579 0.257427093904 Henry Cohn, 2026, needs more optimization.
21 580 0.257579055482 Henry Cohn, 2026, needs more optimization.
21 581 0.257698840678 Henry Cohn, 2026, needs more optimization.
21 582 0.257818088655 Henry Cohn, 2026, needs more optimization.
21 583 0.257904639732 Henry Cohn, 2026, needs more optimization.
21 584 0.258019171368 Henry Cohn, 2026, needs more optimization.
21 585 0.258110395006 Henry Cohn, 2026, needs more optimization.
21 586 0.258238572087 Henry Cohn, 2026, needs more optimization.
21 587 0.258304372639 Henry Cohn, 2026, needs more optimization.
21 588 0.258376583729 Henry Cohn, 2026, needs more optimization.
21 589 0.258447057823 Henry Cohn, 2026, needs more optimization.
21 590 0.258602690804 Henry Cohn, 2026, needs more optimization.
21 591 0.258703705652 Henry Cohn, 2026, needs more optimization.
21 592 0.258738330937 Henry Cohn, 2026, needs more optimization.
21 593 0.258976701812 Henry Cohn, 2026, needs more optimization.
21 594 0.259208817797 Henry Cohn, 2026, needs more optimization.
21 595 0.259322107361 Henry Cohn, 2026, needs more optimization.
21 596 0.259395478256 Henry Cohn, 2026, needs more optimization.
21 597 0.259466900613 Henry Cohn, 2026, needs more optimization.
21 598 0.259602912696 Henry Cohn, 2026, needs more optimization.
21 599 0.259677301298 Henry Cohn, 2026, needs more optimization.
21 600 0.259743314332 Henry Cohn, 2026, needs more optimization.
21 601 0.259794948773 Henry Cohn, 2026, needs more optimization.
21 602 0.259832968258 Henry Cohn, 2026, needs more optimization.
21 603 0.259910050461 Henry Cohn, 2026, needs more optimization.
21 604 0.259940858226 Henry Cohn, 2026, needs more optimization.
21 605 0.260046644358 Henry Cohn, 2026, needs more optimization.
21 606 0.260137372111 Henry Cohn, 2026, needs more optimization.
21 607 0.260231589473 Henry Cohn, 2026, needs more optimization.
21 608 0.260276841083 Henry Cohn, 2026, needs more optimization.
21 609 0.260317334373 Henry Cohn, 2026, needs more optimization.
21 610 0.260501644801 Henry Cohn, 2026, needs more optimization.
21 611 0.260606308328 Henry Cohn, 2026, needs more optimization.
21 612 0.260667206860 Henry Cohn, 2026, needs more optimization.
21 613 0.260789585540 Henry Cohn, 2026, needs more optimization.
21 614 0.260880439953 Henry Cohn, 2026, needs more optimization.
21 615 0.260939984898 Henry Cohn, 2026, needs more optimization.
21 616 0.261030310913 Henry Cohn, 2026, needs more optimization.
21 617 0.261087340430 Henry Cohn, 2026, needs more optimization.
21 618 0.261165290252 Henry Cohn, 2026, needs more optimization.
21 619 0.261231648042 Henry Cohn, 2026, needs more optimization.
21 620 0.261273151508 Henry Cohn, 2026, needs more optimization.
21 621 0.261309352386 Henry Cohn, 2026, needs more optimization.
21 622 0.261351019110 Henry Cohn, 2026, needs more optimization.
21 623 0.261396034725 Henry Cohn, 2026, needs more optimization.
21 624 0.261431765856 Henry Cohn, 2026, needs more optimization.
21 625 0.261465024856 Henry Cohn, 2026, needs more optimization.
21 626 0.261507297148 Henry Cohn, 2026, needs more optimization.
21 627 0.261577750660 Henry Cohn, 2026, needs more optimization.
21 628 0.261633052936 Henry Cohn, 2026, needs more optimization.
21 629 0.261687411389 Henry Cohn, 2026, needs more optimization.
21 630 0.262079126553 Henry Cohn, 2026, needs more optimization.
21 631 0.262330647284 Henry Cohn, 2026, needs more optimization.
21 632 0.262520358703 Henry Cohn, 2026, needs more optimization.
21 633 0.262619110606 Henry Cohn, 2026, needs more optimization.
21 634 0.262690011262 Henry Cohn, 2026, needs more optimization.
21 635 0.262741268794 Henry Cohn, 2026, needs more optimization.
21 636 0.262892286027 Henry Cohn, 2026, needs more optimization.
21 637 0.263012215755 Henry Cohn, 2026, needs more optimization.
21 638 0.263142657662 Henry Cohn, 2026, needs more optimization.
21 639 0.263232057098 Henry Cohn, 2026, needs more optimization.
21 640 0.263331634796 Henry Cohn, 2026, needs more optimization.
21 641 0.263419001088 Henry Cohn, 2026, needs more optimization.
21 642 0.263581718253 Henry Cohn, 2026, needs more optimization.
21 643 0.263706273103 Henry Cohn, 2026, needs more optimization.
21 644 0.263829002308 Henry Cohn, 2026, needs more optimization.
21 645 0.263936658558 Henry Cohn, 2026, needs more optimization.
21 646 0.263975183288 Henry Cohn, 2026, needs more optimization.
21 647 0.264052005386 Henry Cohn, 2026, needs more optimization.
21 648 0.264128250796 Henry Cohn, 2026, needs more optimization.
21 649 0.264189550788 Henry Cohn, 2026, needs more optimization.
21 650 0.264295841804 Henry Cohn, 2026, needs more optimization.
21 651 0.264369605346 Henry Cohn, 2026, needs more optimization.
21 652 0.264440804304 Henry Cohn, 2026, needs more optimization.
21 653 0.264507969563 Henry Cohn, 2026, needs more optimization.
21 654 0.264561035994 Henry Cohn, 2026, needs more optimization.
21 655 0.264636921169 Henry Cohn, 2026, needs more optimization.
21 656 0.264735844722 Henry Cohn, 2026, needs more optimization.
21 657 0.264805016235 Henry Cohn, 2026, needs more optimization.
21 658 0.264897276443 Henry Cohn, 2026, needs more optimization.
21 659 0.264991043315 Henry Cohn, 2026, needs more optimization.
21 660 0.265126313906 Henry Cohn, 2026, needs more optimization.
21 661 0.265181054985 Henry Cohn, 2026, needs more optimization.
21 662 0.265233482766 Henry Cohn, 2026, needs more optimization.
21 663 0.265297895344 Henry Cohn, 2026, needs more optimization.
21 664 0.265376890979 Henry Cohn, 2026, needs more optimization.
21 665 0.265449359904 Henry Cohn, 2026, needs more optimization.
21 666 0.265523035272 Henry Cohn, 2026, needs more optimization.
21 667 0.265560591041 Henry Cohn, 2026, needs more optimization.
21 668 0.265605810210 Henry Cohn, 2026, needs more optimization.
21 669 0.265633862434 Henry Cohn, 2026, needs more optimization.
21 670 0.265669567586 Henry Cohn, 2026, needs more optimization.
21 671 0.265732577571 Henry Cohn, 2026, needs more optimization.
21 672 0.265770747149 Henry Cohn, 2026, needs more optimization.
21 673 0.265853816409 Henry Cohn, 2026, needs more optimization.
21 674 0.265902370373 Henry Cohn, 2026, needs more optimization.
21 675 0.265960677245 Henry Cohn, 2026, needs more optimization.
21 676 0.266028340242 Henry Cohn, 2026, needs more optimization.
21 677 0.266081244822 Henry Cohn, 2026, needs more optimization.
21 678 0.266136777582 Henry Cohn, 2026, needs more optimization.
21 679 0.266167863374 Henry Cohn, 2026, needs more optimization.
21 680 0.266224683365 Henry Cohn, 2026, needs more optimization.
21 681 0.266280377778 Henry Cohn, 2026, needs more optimization.
21 682 0.266343579024 Henry Cohn, 2026, needs more optimization.
21 683 0.266505569797 Henry Cohn, 2026, needs more optimization.
21 684 0.266586819377 Henry Cohn, 2026, needs more optimization.
21 685 0.266668455446 Henry Cohn, 2026, needs more optimization.
21 686 0.266720185134 Henry Cohn, 2026, needs more optimization.
21 687 0.266775357376 Henry Cohn, 2026, needs more optimization.
21 688 0.266841018277 Henry Cohn, 2026, needs more optimization.
21 689 0.266878055093 Henry Cohn, 2026, needs more optimization.
21 690 0.266947222145 Henry Cohn, 2026, needs more optimization.
21 691 0.266967859251 Henry Cohn, 2026, needs more optimization.
21 692 0.267003078311 Henry Cohn, 2026, needs more optimization.
21 693 0.267031902117 Henry Cohn, 2026, needs more optimization.
21 694 0.267057776235 Henry Cohn, 2026, needs more optimization.
21 695 0.267074284294 Henry Cohn, 2026, needs more optimization.
21 696 0.267090184879 Henry Cohn, 2026, needs more optimization.
21 697 0.267100676094 Henry Cohn, 2026, needs more optimization.
21 698 0.267110400534 Henry Cohn, 2026, needs more optimization.
21 702 0.267111409757 Henry Cohn, 2026, needs more optimization.
21 703 0.267114858164 Henry Cohn, 2026, needs more optimization.
21 728 0.267171850614 Henry Cohn, 2026, needs more optimization.
21 729 0.267261241913 Henry Cohn, 2026.
14⁢x2−1
21 730 0.277256800478 Henry Cohn, 2026, needs more optimization.
21 731 0.282352982134 Henry Cohn, 2026, needs more optimization.
21 732 0.284707765570 Henry Cohn, 2026, needs more optimization.
21 850 0.285714285715 Henry Cohn, 2026.
7⁢x−2
21 851 0.290303635104 Henry Cohn, 2026, needs more optimization.
21 852 0.291100766110 Henry Cohn, 2026, needs more optimization.
21 853 0.291729704125 Henry Cohn, 2026, needs more optimization.
21 854 0.292110658775 Henry Cohn, 2026, needs more optimization.
21 855 0.292435594190 Henry Cohn, 2026, needs more optimization.
21 856 0.292768184046 Henry Cohn, 2026, needs more optimization.
21 857 0.293060004621 Henry Cohn, 2026, needs more optimization.
21 858 0.293325013893 Henry Cohn, 2026, needs more optimization.
21 859 0.293640633169 Henry Cohn, 2026, needs more optimization.
21 860 0.294187435880 Henry Cohn, 2026, needs more optimization.
21 861 0.294645105527 Henry Cohn, 2026, needs more optimization.
21 862 0.294762036127 Henry Cohn, 2026, needs more optimization.
21 863 0.295038772374 Henry Cohn, 2026, needs more optimization.
21 864 0.295360800842 Henry Cohn, 2026, needs more optimization.
21 865 0.295531268691 Henry Cohn, 2026, needs more optimization.
21 866 0.295669915682 Henry Cohn, 2026, needs more optimization.
21 867 0.295902803628 Henry Cohn, 2026, needs more optimization.
21 868 0.296148366869 Henry Cohn, 2026, needs more optimization.
21 869 0.296401112803 Henry Cohn, 2026, needs more optimization.
21 870 0.296584275443 Henry Cohn, 2026, needs more optimization.
21 871 0.296708758756 Henry Cohn, 2026, needs more optimization.
21 872 0.296783482279 Henry Cohn, 2026, needs more optimization.
21 873 0.298071007897 Henry Cohn, 2026, needs more optimization.
21 874 0.298647601186 Henry Cohn, 2026, needs more optimization.
21 875 0.298779563517 Henry Cohn, 2026, needs more optimization.
21 876 0.298942412852 Henry Cohn, 2026, needs more optimization.
21 877 0.299121560893 Henry Cohn, 2026, needs more optimization.
21 878 0.299760484012 Henry Cohn, 2026, needs more optimization.
21 879 0.299850241845 Henry Cohn, 2026, needs more optimization.
21 880 0.300359977168 Henry Cohn, 2026, needs more optimization.
21 881 0.300454895686 Henry Cohn, 2026, needs more optimization.
21 882 0.300637402810 Henry Cohn, 2026, needs more optimization.
21 883 0.300904209748 Henry Cohn, 2026, needs more optimization.
21 884 0.301106078756 Henry Cohn, 2026, needs more optimization.
21 885 0.301399140183 Henry Cohn, 2026, needs more optimization.
21 886 0.301575390749 Henry Cohn, 2026, needs more optimization.
21 887 0.301759818931 Henry Cohn, 2026, needs more optimization.
21 888 0.301860265811 Henry Cohn, 2026, needs more optimization.
21 889 0.301964805886 Henry Cohn, 2026, needs more optimization.
21 890 0.302071350537 Henry Cohn, 2026, needs more optimization.
21 891 0.302184938725 Henry Cohn, 2026, needs more optimization.
21 892 0.302405688224 Henry Cohn, 2026, needs more optimization.
21 893 0.302637975493 Henry Cohn, 2026, needs more optimization.
21 894 0.302838890230 Henry Cohn, 2026, needs more optimization.
21 895 0.302949373074 Henry Cohn, 2026, needs more optimization.
21 896 0.303362932261 Henry Cohn, 2026, needs more optimization.
21 897 0.303701502049 Henry Cohn, 2026, needs more optimization.
21 898 0.303917556485 Henry Cohn, 2026, needs more optimization.
21 899 0.304159554761 Henry Cohn, 2026, needs more optimization.
21 900 0.304387401217 Henry Cohn, 2026, needs more optimization.
21 901 0.304565801053 Henry Cohn, 2026, needs more optimization.
21 902 0.304816949066 Henry Cohn, 2026, needs more optimization.
21 903 0.305067026171 Henry Cohn, 2026, needs more optimization.
21 904 0.305242191675 Henry Cohn, 2026, needs more optimization.
21 905 0.305316504763 Henry Cohn, 2026, needs more optimization.
21 906 0.305450481669 Henry Cohn, 2026, needs more optimization.
21 907 0.305561836553 Henry Cohn, 2026, needs more optimization.
21 908 0.305721412834 Henry Cohn, 2026, needs more optimization.
21 909 0.305848423836 Henry Cohn, 2026, needs more optimization.
21 910 0.306020067847 Henry Cohn, 2026, needs more optimization.
21 911 0.306112459253 Henry Cohn, 2026, needs more optimization.
21 912 0.306261613301 Henry Cohn, 2026, needs more optimization.
21 913 0.306380807250 Henry Cohn, 2026, needs more optimization.
21 914 0.306497340903 Henry Cohn, 2026, needs more optimization.
21 915 0.306607955156 Henry Cohn, 2026, needs more optimization.
21 916 0.306739544561 Henry Cohn, 2026, needs more optimization.
21 917 0.306896258199 Henry Cohn, 2026, needs more optimization.
21 918 0.306999316923 Henry Cohn, 2026, needs more optimization.
21 919 0.307084862460 Henry Cohn, 2026, needs more optimization.
21 920 0.307160505849 Henry Cohn, 2026, needs more optimization.
21 921 0.307285742224 Henry Cohn, 2026, needs more optimization.
21 922 0.307406570332 Henry Cohn, 2026, needs more optimization.
21 923 0.307520833737 Henry Cohn, 2026, needs more optimization.
21 924 0.307642020367 Henry Cohn, 2026, needs more optimization.
21 1024 0.307692307693 Henry Cohn, 2026.
13⁢x−4
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 0.047603596724 Henry Cohn, 2026.
22 50 0.047618606209 Henry Cohn, 2025, needs more optimization.
22 52 0.047619047316 Henry Cohn, 2025, needs more optimization.
22 53 0.057560345703 Henry Cohn, 2024.
22 54 0.060108874148 Henry Cohn, 2025.
22 55 0.064358001899 Henry Cohn, 2026.
22 56 0.066515834565 Henry Cohn, 2026.
22 57 0.066559109857 Henry Cohn, 2026.
22 58 0.066639716879 Henry Cohn, 2026, needs more optimization.
22 59 0.066653900529 Henry Cohn, 2026, needs more optimization.
22 60 0.066662323881 Henry Cohn, 2026, needs more optimization.
22 61 0.069653429412 Henry Cohn, 2026.
22 62 0.071702992549 Henry Cohn, 2026, needs more optimization.
22 63 0.076904418853 Henry Cohn, 2026, needs more optimization.
22 64 0.076919638871 Henry Cohn, 2026, needs more optimization.
22 65 0.076924075518 Henry Cohn, 2026, needs more optimization.
22 66 0.078243584883 Henry Cohn, 2026.
22 67 0.079295785727 Henry Cohn, 2026, needs more optimization.
22 68 0.080927905651 Henry Cohn, 2026.
22 69 0.083023579671 Henry Cohn, 2026, needs more optimization.
22 70 0.083309827283 Henry Cohn, 2025, needs more optimization.
22 71 0.083331871272 Henry Cohn, 2025, needs more optimization.
22 72 0.083333305430 Henry Cohn, 2026, needs more optimization.
22 73 0.083333332773 Henry Cohn, 2025, needs more optimization.
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 0.086876541302 Henry Cohn, 2026, needs more optimization.
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
22 114 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 0.118359075603 Henry Cohn, 2026.
22 117 0.122810927712 Henry Cohn, 2026, needs more optimization.
22 118 0.126503630021 Henry Cohn, 2026, needs more optimization.
22 119 0.126742522896 Henry Cohn, 2026, needs more optimization.
22 120 0.131231549707 Henry Cohn, 2026, needs more optimization.
22 121 0.131782945737 Code with 119 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.
129⁢x−17
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 0.135518354822 Henry Cohn, 2026, needs more optimization.
22 143 0.138364866050 Henry Cohn, 2026, needs more optimization.
22 144 0.139626872648 Henry Cohn, 2026, needs more optimization.
22 164 0.142857142858 Code with 162 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.
7⁢x−1
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.
22 171 0.156572050095 Henry Cohn, 2026.
22 172 0.158334066585 Henry Cohn, 2026, needs more optimization.
22 173 0.159151522640 Henry Cohn, 2026, needs more optimization.
22 174 0.161549596432 Henry Cohn, 2026, needs more optimization.
22 200 0.161904761905 Code with 198 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.
105⁢x−17
22 201 0.161904761905 Henry Cohn, 2026.
105⁢x−17
22 202 0.161905113244 Henry Cohn, 2026, needs more optimization.
22 203 0.165620407913 Henry Cohn, 2026, needs more optimization.
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 0.178571428572 Henry Cohn, 2026.
28⁢x−5
22 277 0.185916413939 Henry Cohn, 2026, needs more optimization.
22 278 0.189305571353 Henry Cohn, 2026, needs more optimization.
22 279 0.191625863925 Henry Cohn, 2026, needs more optimization.
22 280 0.193247634090 Henry Cohn, 2026, needs more optimization.
22 281 0.194534746050 Henry Cohn, 2026, needs more optimization.
22 282 0.195733672478 Henry Cohn, 2026, needs more optimization.
22 283 0.196337923166 Henry Cohn, 2026, needs more optimization.
22 284 0.196354254941 Henry Cohn, 2026, needs more optimization.
22 286 0.196362023436 Henry Cohn, 2026, needs more optimization.
22 287 0.199279109934 Henry Cohn, 2026, needs more optimization.
22 338 0.2 Code with 336 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.
5⁢x−1
22 352 0.2 C. Ma, T. T. Zhaowei, 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 0.201777989818 Henry Cohn, 2026.
22 354 0.202842503176 Henry Cohn, 2026.
22 355 0.203728107360 Henry Cohn, 2026, needs more optimization.
22 356 0.204034967974 Henry Cohn, 2026, needs more optimization.
22 357 0.204058373987 Henry Cohn, 2026, needs more optimization.
22 358 0.204059482324 Henry Cohn, 2026, needs more optimization.
22 359 0.204490953433 Henry Cohn, 2026, needs more optimization.
22 374 0.204624019941 Henry Cohn, 2026.
22 375 0.205726260983 Henry Cohn, 2026, needs more optimization.
22 376 0.206395598603 Henry Cohn, 2026, needs more optimization.
22 377 0.206702468133 Henry Cohn, 2026, needs more optimization.
22 378 0.206884763860 Henry Cohn, 2026, needs more optimization.
22 379 0.207062386894 Henry Cohn, 2026, needs more optimization.
22 380 0.207123965729 Henry Cohn, 2026, needs more optimization.
22 381 0.207166893231 Henry Cohn, 2026, needs more optimization.
22 382 0.207174909140 Henry Cohn, 2026, needs more optimization.
22 383 0.207175839357 Henry Cohn, 2026, needs more optimization.
22 386 0.207175875042 Henry Cohn, 2026, needs more optimization.
22 388 0.207175951819 Henry Cohn, 2026, needs more optimization.
22 389 0.207175995211 Henry Cohn, 2026, needs more optimization.
22 390 0.207176019253 Henry Cohn, 2026, needs more optimization.
22 391 0.208469005766 Henry Cohn, 2026, needs more optimization.
22 392 0.208833201396 Henry Cohn, 2026, needs more optimization.
22 393 0.209057515935 Henry Cohn, 2026, needs more optimization.
22 394 0.209110265315 Henry Cohn, 2026, needs more optimization.
22 395 0.209433638600 Henry Cohn, 2026, needs more optimization.
22 396 0.209530996233 Henry Cohn, 2026, needs more optimization.
22 401 0.209602945641 Henry Cohn, 2026, needs more optimization.
22 403 0.209622615370 Henry Cohn, 2026, needs more optimization.
22 404 0.209689132896 Henry Cohn, 2026, needs more optimization.
22 405 0.209706921537 Henry Cohn, 2026, needs more optimization.
22 415 0.209711494422 Henry Cohn, 2026, needs more optimization.
22 416 0.209814770636 Henry Cohn, 2026, needs more optimization.
22 430 0.209817069797 Henry Cohn, 2026.
22 431 0.210993089892 Henry Cohn, 2026, needs more optimization.
22 432 0.211663365424 Henry Cohn, 2026, needs more optimization.
22 433 0.212039942051 Henry Cohn, 2026, needs more optimization.
22 436 0.212148697335 Henry Cohn, 2026, needs more optimization.
22 437 0.212406691096 Henry Cohn, 2026, needs more optimization.
22 442 0.212505214885 Henry Cohn, 2026, needs more optimization.
22 451 0.212653226480 Henry Cohn, 2026.
22 452 0.213200716356 Henry Cohn, 2026.
22⁢x2−1
22 485 0.229650347182 Henry Cohn, 2026, needs more optimization.
22 503 0.229926564594 Henry Cohn, 2026, needs more optimization.
22 504 0.229926564994 Henry Cohn, 2026, needs more optimization.
22 505 0.229926768274 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
22 556 0.238095238096 Orthogonal union of 554 points in 21 dimensions and 2 points in 1 dimension.
21⁢x−5
22 557 0.238101475164 Henry Cohn, 2026, needs more optimization.
22 558 0.238112444674 Henry Cohn, 2026, needs more optimization.
22 559 0.238317954898 Henry Cohn, 2026, needs more optimization.
22 560 0.238536032950 Henry Cohn, 2026, needs more optimization.
22 561 0.240764648183 Henry Cohn, 2026, needs more optimization.
22 562 0.244026397457 Henry Cohn, 2026, needs more optimization.
22 563 0.246132247786 Henry Cohn, 2026, needs more optimization.
22 564 0.248020278223 Henry Cohn, 2026, needs more optimization.
22 565 0.249763431598 Henry Cohn, 2026, needs more optimization.
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 0.040044233015 Henry Cohn, 2025.
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 0.047343031571 Henry Cohn, 2026.
23 52 0.047477902076 Henry Cohn, 2026, needs more optimization.
23 53 0.047579301640 Henry Cohn, 2026, needs more optimization.
23 54 0.047608667748 Henry Cohn, 2026.
23 55 0.055365527542 Henry Cohn, 2026.
23 56 0.057275984127 Henry Cohn, 2025.
23 57 0.061654200859 Henry Cohn, 2026.
23 58 0.064514885868 Henry Cohn, 2026.
23 59 0.066320743800 Henry Cohn, 2026, needs more optimization.
23 61 0.066464177098 Henry Cohn, 2026, needs more optimization.
23 62 0.066565580257 Henry Cohn, 2026, needs more optimization.
23 63 0.067249405088 Henry Cohn, 2026.
23 64 0.069716146261 Henry Cohn, 2026.
23 65 0.073130743225 Henry Cohn, 2026.
23 66 0.075359392650 Henry Cohn, 2026, needs more optimization.
23 67 0.076883023373 Henry Cohn, 2026, needs more optimization.
23 68 0.076898363391 Henry Cohn, 2026, needs more optimization.
23 69 0.077605236851 Henry Cohn, 2026, needs more optimization.
23 70 0.077985696567 Henry Cohn, 2026, needs more optimization.
23 71 0.079522620309 Henry Cohn, 2026.
23 72 0.080064660878 Henry Cohn, 2026.
23 73 0.081989242399 Henry Cohn, 2026, needs more optimization.
23 74 0.083306336565 Henry Cohn, 2026, needs more optimization.
23 75 0.083319692546 Henry Cohn, 2026, needs more optimization.
23 76 0.083320662985 Henry Cohn, 2026, needs more optimization.
23 77 0.083331616679 Henry Cohn, 2026, needs more optimization.
23 79 0.083333145503 Henry Cohn, 2026, needs more optimization.
23 81 0.083333222004 Henry Cohn, 2025, needs more optimization.
23 82 0.083393602873 Henry Cohn, 2026, needs more optimization.
23 83 0.087272831288 Henry Cohn, 2026, needs more optimization.
23 84 0.089254693084 Henry Cohn, 2026, needs more optimization.
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 0.102490105444 Henry Cohn, 2026.
23 106 0.109392443214 Henry Cohn, 2026.
2175⁢x2+210⁢x−49
23 107 0.111111109507 Henry Cohn, 2026, needs more optimization.
23 108 0.111111109516 Henry Cohn, 2026, needs more optimization.
23 111 0.111111109526 Henry Cohn, 2026, needs more optimization.
23 113 0.111111109682 Henry Cohn, 2026, needs more optimization.
23 115 0.111111109683 Henry Cohn, 2026, needs more optimization.
23 116 0.111111109684 Henry Cohn, 2026, needs more optimization.
23 117 0.111112082220 Henry Cohn, 2026, needs more optimization.
23 118 0.111112859878 Henry Cohn, 2026, needs more optimization.
23 119 0.115914697905 Henry Cohn, 2026, needs more optimization.
23 120 0.120463361903 Henry Cohn, 2026, needs more optimization.
23 121 0.124523095359 Henry Cohn, 2026, needs more optimization.
23 122 0.124534014603 Henry Cohn, 2026, needs more optimization.
23 123 0.130495864823 Henry Cohn, 2026, needs more optimization.
23 129 0.131782945737 Orthogonal union of 127 points in 22 dimensions and 2 points in 1 dimension.
129⁢x−17
23 130 0.131786731004 Henry Cohn, 2026, needs more optimization.
23 131 0.132094320104 Henry Cohn, 2026, needs more optimization.
23 132 0.134344408828 Henry Cohn, 2026, needs more optimization.
23 133 0.134848418053 Henry Cohn, 2026, needs more optimization.
23 134 0.135063475731 Henry Cohn, 2026, needs more optimization.
23 138 0.135135135136 Code with 136 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.
37⁢x−5
23 147 0.135135135136 Henry Cohn, 2026.
37⁢x−5
23 148 0.135955752230 Henry Cohn, 2026, needs more optimization.
23 149 0.136622388415 Henry Cohn, 2026, needs more optimization.
23 150 0.136651108408 Henry Cohn, 2026, needs more optimization.
23 151 0.137560947018 Henry Cohn, 2026, needs more optimization.
23 152 0.139001581898 Henry Cohn, 2026, needs more optimization.
23 166 0.142857142858 Code with 164 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.
7⁢x−1
23 168 0.142857142858 Orthogonal union of 166 points in 22 dimensions and 2 points in 1 dimension.
7⁢x−1
23 169 0.142857630115 Henry Cohn, 2026, needs more optimization.
23 170 0.142857630117 Henry Cohn, 2026, needs more optimization.
23 171 0.145107728315 Henry Cohn, 2026, needs more optimization.
23 172 0.145383795944 Henry Cohn, 2026, needs more optimization.
23 173 0.145383795961 Henry Cohn, 2026, needs more optimization.
23 174 0.146719321122 Henry Cohn, 2026, needs more optimization.
23 175 0.150601106322 Henry Cohn, 2026, needs more optimization.
23 176 0.153967602830 Henry Cohn, 2026, needs more optimization.
23 177 0.154957376289 Henry Cohn, 2026, needs more optimization.
23 178 0.156955190563 Henry Cohn, 2026, needs more optimization.
23 179 0.158038960849 Henry Cohn, 2026, needs more optimization.
23 180 0.159371866196 Henry Cohn, 2026, needs more optimization.
23 181 0.160290492780 Henry Cohn, 2026, needs more optimization.
23 182 0.161049858833 Henry Cohn, 2026, needs more optimization.
23 183 0.161609032024 Henry Cohn, 2026, needs more optimization.
23 202 0.161904761905 Code with 200 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.
105⁢x−17
23 203 0.161904761905 Orthogonal union of 201 points in 22 dimensions and 2 points in 1 dimension.
105⁢x−17
23 204 0.161904891178 Henry Cohn, 2026, needs more optimization.
23 205 0.161904895839 Henry Cohn, 2026, needs more optimization.
23 206 0.161907076292 Henry Cohn, 2026, needs more optimization.
23 207 0.161918513785 Henry Cohn, 2026, needs more optimization.
23 208 0.161981982629 Henry Cohn, 2026, needs more optimization.
23 209 0.164066063149 Henry Cohn, 2026, needs more optimization.
23 210 0.165086827768 Henry Cohn, 2026, needs more optimization.
23 211 0.165542404647 Henry Cohn, 2026, needs more optimization.
23 212 0.166158342137 Henry Cohn, 2026, needs more optimization.
23 213 0.166492004821 Henry Cohn, 2026, needs more optimization.
23 214 0.166610685638 Henry Cohn, 2026, needs more optimization.
23 277 0.166666666667 Code with 275 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.
6⁢x−1
23 278 0.166666666667 Henry Cohn, 2026.
6⁢x−1
23 279 0.168170313999 Henry Cohn, 2026, needs more optimization.
23 280 0.174248063300 Henry Cohn, 2026, needs more optimization.
23 281 0.178778865953 Henry Cohn, 2026, needs more optimization.
23 282 0.181996216526 Henry Cohn, 2026, needs more optimization.
23 283 0.183341424495 Henry Cohn, 2026, needs more optimization.
23 284 0.185748161661 Henry Cohn, 2026, needs more optimization.
23 285 0.186067058395 Henry Cohn, 2026, needs more optimization.
23 286 0.187607849923 Henry Cohn, 2026, needs more optimization.
23 287 0.188085600237 Henry Cohn, 2026, needs more optimization.
23 288 0.188360344486 Henry Cohn, 2026, needs more optimization.
23 289 0.189240166719 Henry Cohn, 2026, needs more optimization.
23 290 0.189393694691 Henry Cohn, 2026, needs more optimization.
23 291 0.189519426382 Henry Cohn, 2026, needs more optimization.
23 292 0.189591874350 Henry Cohn, 2026, needs more optimization.
23 293 0.189642600732 Henry Cohn, 2026, needs more optimization.
23 294 0.189661276885 Henry Cohn, 2026, needs more optimization.
23 295 0.189661371185 Henry Cohn, 2026, needs more optimization.
23 296 0.189661690892 Henry Cohn, 2026, needs more optimization.
23 297 0.189662892564 Henry Cohn, 2026, needs more optimization.
23 298 0.189663221453 Henry Cohn, 2026, needs more optimization.
23 299 0.189663566810 Henry Cohn, 2026, needs more optimization.
23 300 0.189663992717 Henry Cohn, 2026, needs more optimization.
23 301 0.190665160543 Henry Cohn, 2026, needs more optimization.
23 302 0.193082243133 Henry Cohn, 2026, needs more optimization.
23 303 0.194193976424 Henry Cohn, 2026, needs more optimization.
23 304 0.195467909757 Henry Cohn, 2026, needs more optimization.
23 305 0.196374332184 Henry Cohn, 2026, needs more optimization.
23 306 0.197507346205 Henry Cohn, 2026, needs more optimization.
23 307 0.198654245461 Henry Cohn, 2026, needs more optimization.
23 308 0.199128366605 Henry Cohn, 2026, needs more optimization.
23 309 0.199280662437 Henry Cohn, 2026, needs more optimization.
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, needs more optimization.
23 554 0.235339459922 Henry Cohn, 2026, needs more optimization.
23 558 0.238095238096 Orthogonal union of 554 points in 21 dimensions and 4 points in 2 dimensions.
21⁢x−5
23 559 0.238098914773 Henry Cohn, 2026, needs more optimization.
23 560 0.238111518578 Henry Cohn, 2026, needs more optimization.
23 563 0.238114844805 Henry Cohn, 2026, needs more optimization.
23 566 0.238272935266 Henry Cohn, 2026, needs more optimization.
23 572 0.238858470774 Henry Cohn, 2026, needs more optimization.
23 573 0.239278047440 Henry Cohn, 2026, needs more optimization.
23 574 0.240100054064 Henry Cohn, 2026, needs more optimization.
23 575 0.241248460493 Henry Cohn, 2026, needs more optimization.
23 576 0.241406129089 Henry Cohn, 2026, needs more optimization.
23 577 0.241925993418 Henry Cohn, 2026, needs more optimization.
23 578 0.243090451728 Henry Cohn, 2026, needs more optimization.
23 580 0.243678726175 Henry Cohn, 2026, needs more optimization.
23 581 0.244277794834 Henry Cohn, 2026, needs more optimization.
23 582 0.244691083535 Henry Cohn, 2026, needs more optimization.
23 583 0.245112516674 Henry Cohn, 2026, needs more optimization.
23 585 0.245362855029 Henry Cohn, 2026, needs more optimization.
23 586 0.245662939712 Henry Cohn, 2026, needs more optimization.
23 587 0.245920979439 Henry Cohn, 2026, needs more optimization.
23 588 0.245960421132 Henry Cohn, 2026, needs more optimization.
23 589 0.246211098517 Henry Cohn, 2026, needs more optimization.
23 590 0.246227968404 Henry Cohn, 2026, needs more optimization.
23 591 0.246499416228 Henry Cohn, 2026, needs more optimization.
23 592 0.246521187916 Henry Cohn, 2026, needs more optimization.
23 593 0.247125362979 Henry Cohn, 2026, needs more optimization.
23 594 0.247175170243 Henry Cohn, 2026, needs more optimization.
23 595 0.247335144505 Henry Cohn, 2026, needs more optimization.
23 596 0.247683387876 Henry Cohn, 2026, needs more optimization.
23 597 0.247991328967 Henry Cohn, 2026, needs more optimization.
23 598 0.248498011953 Henry Cohn, 2026, needs more optimization.
23 599 0.248769976434 Henry Cohn, 2026, needs more optimization.
23 600 0.248919536222 Henry Cohn, 2026, needs more optimization.
23 601 0.249316870073 Henry Cohn, 2026, needs more optimization.
23 602 0.249519651483 Henry Cohn, 2026, needs more optimization.
23 603 0.249665368157 Henry Cohn, 2026, needs more optimization.
23 604 0.249712699183 Henry Cohn, 2026, needs more optimization.
23 605 0.249865095278 Henry Cohn, 2026, needs more optimization.
23 894 0.25 Henry Cohn, 2026.
4⁢x−1
23 895 0.250050639814 Henry Cohn, 2026, needs more optimization.
23 896 0.253324420058 Henry Cohn, 2026, needs more optimization.
23 897 0.254330754039 Henry Cohn, 2026, needs more optimization.
23 898 0.255386139721 Henry Cohn, 2026, needs more optimization.
23 899 0.256379365862 Henry Cohn, 2026, needs more optimization.
23 900 0.256477369157 Henry Cohn, 2026, needs more optimization.
23 901 0.256477369165 Henry Cohn, 2026, needs more optimization.
23 902 0.256937737959 Henry Cohn, 2026, needs more optimization.
23 903 0.258022632455 Henry Cohn, 2026, needs more optimization.
23 904 0.258533431706 Henry Cohn, 2026, needs more optimization.
23 905 0.259263474064 Henry Cohn, 2026, needs more optimization.
23 906 0.259801612695 Henry Cohn, 2026, needs more optimization.
23 907 0.261490148316 Henry Cohn, 2026, needs more optimization.
23 908 0.264882547955 Henry Cohn, 2026, needs more optimization.
23 909 0.265200846605 Henry Cohn, 2026, needs more optimization.
23 910 0.265394537389 Henry Cohn, 2026, needs more optimization.
23 911 0.266026824108 Henry Cohn, 2026, needs more optimization.
23 912 0.267160998379 Henry Cohn, 2026, needs more optimization.
23 913 0.268056887542 Henry Cohn, 2026, needs more optimization.
23 914 0.268700573794 Henry Cohn, 2026, needs more optimization.
23 915 0.268816454324 Henry Cohn, 2026, needs more optimization.
23 916 0.269626681859 Henry Cohn, 2026, needs more optimization.
23 917 0.270164221049 Henry Cohn, 2026, needs more optimization.
23 918 0.270706820503 Henry Cohn, 2026, needs more optimization.
23 919 0.271163383271 Henry Cohn, 2026, needs more optimization.
23 920 0.271457325876 Henry Cohn, 2026, needs more optimization.
23 921 0.272141810502 Henry Cohn, 2026, needs more optimization.
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 51 0.045537713846 Henry Cohn, 2025.
24 52 0.046377212908 Henry Cohn, 2025.
24 53 0.046712202497 Henry Cohn, 2025.
24 54 0.047284571428 Henry Cohn, 2025.
24 55 0.047381601960 Henry Cohn, 2024.
24 56 0.047562533008 Henry Cohn, 2026.
24 57 0.053295295011 Henry Cohn, 2026.
24 58 0.054361642549 Henry Cohn, 2026.
24 59 0.057903810057 Henry Cohn, 2026.
24 60 0.061561217808 Henry Cohn, 2026.
24 61 0.064589747421 Henry Cohn, 2026.
24 62 0.065263066537 Henry Cohn, 2026, needs more optimization.
24 63 0.065495640003 Henry Cohn, 2026, needs more optimization.
24 64 0.065897887068 Henry Cohn, 2026, needs more optimization.
24 65 0.066587690560 Henry Cohn, 2026, needs more optimization.
24 66 0.068180518550 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 0.076553864377 Henry Cohn, 2026, needs more optimization.
24 71 0.076921818091 Henry Cohn, 2026, needs more optimization.
24 72 0.077412163760 Henry Cohn, 2026, needs more optimization.
24 73 0.077740721430 Henry Cohn, 2026, needs more optimization.
24 74 0.077908661685 Henry Cohn, 2026, needs more optimization.
24 75 0.078509915326 Henry Cohn, 2026, needs more optimization.
24 76 0.078850061999 Henry Cohn, 2026, needs more optimization.
24 77 0.081784613396 Henry Cohn, 2026, needs more optimization.
24 78 0.082773845243 Henry Cohn, 2026, needs more optimization.
24 79 0.083240773836 Henry Cohn, 2026, needs more optimization.
24 80 0.083247406439 Henry Cohn, 2026, needs more optimization.
24 81 0.083292973669 Henry Cohn, 2026, needs more optimization.
24 83 0.083316966042 Henry Cohn, 2026, needs more optimization.
24 84 0.083328254794 Henry Cohn, 2026, needs more optimization.
24 85 0.083328479334 Henry Cohn, 2026, needs more optimization.
24 86 0.086247474419 Henry Cohn, 2026, needs more optimization.
24 87 0.088155666895 Henry Cohn, 2026, needs more optimization.
24 88 0.089786843320 Henry Cohn, 2026, needs more optimization.
24 89 0.090234349022 Henry Cohn, 2026, needs more optimization.
24 90 0.090581638100 Henry Cohn, 2026, needs more optimization.
24 91 0.090735899261 Henry Cohn, 2026, needs more optimization.
24 92 0.090834706154 Henry Cohn, 2026, needs more optimization.
24 93 0.090893763337 Henry Cohn, 2026, needs more optimization.
24 97 0.090909090540 Henry Cohn, 2026, needs more optimization.
24 98 0.090909090558 Henry Cohn, 2026, needs more optimization.
24 103 0.090909090571 Henry Cohn, 2026, needs more optimization.
24 104 0.090909090572 Henry Cohn, 2026, needs more optimization.
24 105 0.091497860118 Henry Cohn, 2026, needs more optimization.
24 106 0.095233377765 Henry Cohn, 2026, needs more optimization.
24 107 0.100962379669 Henry Cohn, 2026, needs more optimization.
24 108 0.105659332394 Henry Cohn, 2026, needs more optimization.
24 109 0.111057104209 Henry Cohn, 2026, needs more optimization.
24 110 0.111071980173 Henry Cohn, 2026, needs more optimization.
24 111 0.111089896145 Henry Cohn, 2026, needs more optimization.
24 118 0.111099565428 Henry Cohn, 2025, needs more optimization.
24 120 0.111111404425 Henry Cohn, 2026, needs more optimization.
24 121 0.111111857060 Henry Cohn, 2026, needs more optimization.
24 122 0.112368143033 Henry Cohn, 2026, needs more optimization.
24 123 0.116166524744 Henry Cohn, 2026, needs more optimization.
24 124 0.117892571871 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 0.131755624893 Henry Cohn, 2026, needs more optimization.
24 128 0.131763931510 Henry Cohn, 2026, needs more optimization.
24 129 0.131770782935 Henry Cohn, 2026, needs more optimization.
24 130 0.131772891330 Henry Cohn, 2026, needs more optimization.
24 131 0.131776134525 Henry Cohn, 2026, needs more optimization.
24 132 0.131778295980 Henry Cohn, 2026, needs more optimization.
24 133 0.131787468990 Henry Cohn, 2026, needs more optimization.
24 134 0.131788269440 Henry Cohn, 2026, needs more optimization.
24 135 0.131962897975 Henry Cohn, 2026, needs more optimization.
24 136 0.132225820465 Henry Cohn, 2026, needs more optimization.
24 137 0.132940859719 Henry Cohn, 2026, needs more optimization.
24 138 0.133282057413 Henry Cohn, 2026, needs more optimization.
24 139 0.134286892773 Henry Cohn, 2026, needs more optimization.
24 140 0.134467102199 Henry Cohn, 2026, needs more optimization.
24 141 0.134887299812 Henry Cohn, 2026, needs more optimization.
24 142 0.135002427766 Henry Cohn, 2026, needs more optimization.
24 143 0.135118489694 Henry Cohn, 2026, needs more optimization.
24 149 0.135135135136 Orthogonal union of 147 points in 23 dimensions and 2 points in 1 dimension.
37⁢x−5
24 150 0.135136870044 Henry Cohn, 2026, needs more optimization.
24 151 0.135173240371 Henry Cohn, 2026, needs more optimization.
24 152 0.135430714959 Henry Cohn, 2026, needs more optimization.
24 153 0.136300099541 Henry Cohn, 2026, needs more optimization.
24 154 0.136498845727 Henry Cohn, 2026, needs more optimization.
24 155 0.137673658812 Henry Cohn, 2026, needs more optimization.
24 156 0.139197053802 Henry Cohn, 2026, needs more optimization.
24 157 0.141224278529 Henry Cohn, 2026, needs more optimization.
24 158 0.142857107285 Henry Cohn, 2026, needs more optimization.
24 159 0.142857110879 Henry Cohn, 2026, needs more optimization.
24 161 0.142857110956 Henry Cohn, 2026, needs more optimization.
24 162 0.142857111159 Henry Cohn, 2026, needs more optimization.
24 164 0.142857116293 Henry Cohn, 2026, needs more optimization.
24 166 0.142857121940 Henry Cohn, 2026, needs more optimization.
24 167 0.142857122001 Henry Cohn, 2026, needs more optimization.
24 168 0.142857122603 Henry Cohn, 2026, needs more optimization.
24 170 0.142857138920 Henry Cohn, 2026, needs more optimization.
24 171 0.142857139081 Henry Cohn, 2026, needs more optimization.
24 172 0.142857140416 Henry Cohn, 2026, needs more optimization.
24 173 0.142857171592 Henry Cohn, 2026, needs more optimization.
24 174 0.142857172713 Henry Cohn, 2026, needs more optimization.
24 175 0.143485996253 Henry Cohn, 2026, needs more optimization.
24 176 0.146005670481 Henry Cohn, 2026, needs more optimization.
24 177 0.146021217240 Henry Cohn, 2026, needs more optimization.
24 178 0.146052018668 Henry Cohn, 2026, needs more optimization.
24 179 0.146255192614 Henry Cohn, 2026, needs more optimization.
24 180 0.147318576179 Henry Cohn, 2026, needs more optimization.
24 181 0.149085449272 Henry Cohn, 2026, needs more optimization.
24 182 0.151185468685 Henry Cohn, 2026, needs more optimization.
24 183 0.153482068608 Henry Cohn, 2026, needs more optimization.
24 184 0.154894300001 Henry Cohn, 2026, needs more optimization.
24 185 0.155534249637 Henry Cohn, 2026, needs more optimization.
24 186 0.156351613012 Henry Cohn, 2026, needs more optimization.
24 187 0.157397873339 Henry Cohn, 2026, needs more optimization.
24 188 0.157583842159 Henry Cohn, 2026, needs more optimization.
24 189 0.158934279109 Henry Cohn, 2026, needs more optimization.
24 190 0.159953013616 Henry Cohn, 2026, needs more optimization.
24 191 0.160361368955 Henry Cohn, 2026, needs more optimization.
24 192 0.161194920166 Henry Cohn, 2026, needs more optimization.
24 193 0.161522327242 Henry Cohn, 2026, needs more optimization.
24 204 0.161904761905 Code with 202 points in 23 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.
105⁢x−17
24 205 0.161904761905 Orthogonal union of 201 points in 22 dimensions and 4 points in 2 dimensions.
105⁢x−17
24 206 0.161904779055 Henry Cohn, 2026, needs more optimization.
24 207 0.161904779209 Henry Cohn, 2026, needs more optimization.
24 208 0.161904789474 Henry Cohn, 2026, needs more optimization.
24 209 0.161904789522 Henry Cohn, 2026, needs more optimization.
24 210 0.161904789534 Henry Cohn, 2026, needs more optimization.
24 212 0.161904799606 Henry Cohn, 2026, needs more optimization.
24 213 0.161905360980 Henry Cohn, 2026, needs more optimization.
24 214 0.162018981835 Henry Cohn, 2026, needs more optimization.
24 215 0.162171541091 Henry Cohn, 2026, needs more optimization.
24 216 0.163089646626 Henry Cohn, 2026, needs more optimization.
24 217 0.163194647705 Henry Cohn, 2026, needs more optimization.
24 218 0.164190840038 Henry Cohn, 2026, needs more optimization.
24 219 0.164933214361 Henry Cohn, 2026, needs more optimization.
24 220 0.165066382501 Henry Cohn, 2026, needs more optimization.
24 221 0.165678372039 Henry Cohn, 2026, needs more optimization.
24 222 0.165901010539 Henry Cohn, 2026, needs more optimization.
24 223 0.166245321683 Henry Cohn, 2026, needs more optimization.
24 224 0.166483765477 Henry Cohn, 2026, needs more optimization.
24 279 0.166666666667 Code with 277 points in 23 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.
6⁢x−1
24 280 0.166666666667 Orthogonal union of 278 points in 23 dimensions and 2 points in 1 dimension.
6⁢x−1
24 281 0.166666872447 Henry Cohn, 2026, needs more optimization.
24 283 0.166666872448 Henry Cohn, 2026, needs more optimization.
24 284 0.166885631218 Henry Cohn, 2026, needs more optimization.
24 285 0.170026627033 Henry Cohn, 2026, needs more optimization.
24 286 0.171810842072 Henry Cohn, 2026, needs more optimization.
24 287 0.174970853835 Henry Cohn, 2026, needs more optimization.
24 288 0.177033399578 Henry Cohn, 2026, needs more optimization.
24 289 0.179252343593 Henry Cohn, 2026, needs more optimization.
24 290 0.181709527396 Henry Cohn, 2026, needs more optimization.
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
24 313 0.181818181819 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.
11⁢x−2
24 314 0.183139918002 Henry Cohn, 2026, needs more optimization.
24 315 0.186991748697 Henry Cohn, 2026, needs more optimization.
24 316 0.190851070766 Henry Cohn, 2026, needs more optimization.
24 317 0.191475560341 Henry Cohn, 2026, needs more optimization.
24 318 0.192063240606 Henry Cohn, 2026, needs more optimization.
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
24 554 0.2 Code with 552 points in 23 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.
5⁢x−1
24 555 0.200456528216 Henry Cohn, 2026.
39⁢x2+72⁢x−16
24 556 0.201245500080 Henry Cohn, 2026, needs more optimization.
24 557 0.206715145855 Henry Cohn, 2026, needs more optimization.
24 558 0.213707298177 Henry Cohn, 2026, needs more optimization.
24 559 0.218828871331 Henry Cohn, 2026, needs more optimization.
24 560 0.219744040830 Henry Cohn, 2026, needs more optimization.
24 561 0.222368365269 Henry Cohn, 2026, needs more optimization.
24 562 0.222690442425 Henry Cohn, 2026, needs more optimization.
24 563 0.224138901413 Henry Cohn, 2026, needs more optimization.
24 564 0.225349555057 Henry Cohn, 2026, needs more optimization.
24 565 0.226576806519 Henry Cohn, 2026, needs more optimization.
24 566 0.228206241201 Henry Cohn, 2026, needs more optimization.
24 567 0.229121877533 Henry Cohn, 2026, needs more optimization.
24 568 0.230520262258 Henry Cohn, 2026, needs more optimization.
24 569 0.231663163440 Henry Cohn, 2026, needs more optimization.
24 571 0.232703163454 Henry Cohn, 2026, needs more optimization.
24 573 0.233054591933 Henry Cohn, 2026, needs more optimization.
24 581 0.233832723051 Henry Cohn, 2026, needs more optimization.
24 582 0.234788473688 Henry Cohn, 2026, needs more optimization.
24 583 0.235097182442 Henry Cohn, 2026, needs more optimization.
24 584 0.236859585714 Henry Cohn, 2026, needs more optimization.
24 586 0.237636790005 Henry Cohn, 2026, needs more optimization.
24 587 0.239018196358 Henry Cohn, 2026, needs more optimization.
24 594 0.239061808650 Henry Cohn, 2026, needs more optimization.
24 595 0.240329791906 Henry Cohn, 2026, needs more optimization.
24 597 0.240520420608 Henry Cohn, 2026, needs more optimization.
24 598 0.241018912405 Henry Cohn, 2026, needs more optimization.
24 599 0.241393426833 Henry Cohn, 2026, needs more optimization.
24 600 0.241556104709 Henry Cohn, 2026, needs more optimization.
24 602 0.241803768180 Henry Cohn, 2026, needs more optimization.
24 603 0.242267262433 Henry Cohn, 2026, needs more optimization.
24 604 0.242425289771 Henry Cohn, 2026, needs more optimization.
24 605 0.242638487207 Henry Cohn, 2026, needs more optimization.
24 607 0.242901266960 Henry Cohn, 2026, needs more optimization.
24 608 0.244001929928 Henry Cohn, 2026, needs more optimization.
24 611 0.244244732084 Henry Cohn, 2026, needs more optimization.
24 612 0.244597526574 Henry Cohn, 2026, needs more optimization.
24 613 0.245303206079 Henry Cohn, 2026, needs more optimization.
24 615 0.245762204427 Henry Cohn, 2026, needs more optimization.
24 616 0.246287012071 Henry Cohn, 2026, needs more optimization.
24 617 0.246822604610 Henry Cohn, 2026, needs more optimization.
24 618 0.247173525978 Henry Cohn, 2026, needs more optimization.
24 619 0.247552845782 Henry Cohn, 2026, needs more optimization.
24 620 0.247714697232 Henry Cohn, 2026, needs more optimization.
24 621 0.247791560208 Henry Cohn, 2026, needs more optimization.
24 622 0.248218741939 Henry Cohn, 2026, needs more optimization.
24 623 0.248452061271 Henry Cohn, 2026, needs more optimization.
24 624 0.248947262752 Henry Cohn, 2026, needs more optimization.
24 625 0.249120797001 Henry Cohn, 2026, needs more optimization.
24 626 0.249525690723 Henry Cohn, 2026, needs more optimization.
24 627 0.249581796655 Henry Cohn, 2026, needs more optimization.
24 628 0.249723778544 Henry Cohn, 2026, needs more optimization.
24 629 0.249860022317 Henry Cohn, 2026, needs more optimization.
24 896 0.25 Orthogonal union of 894 points in 23 dimensions and 2 points in 1 dimension.
4⁢x−1
24 897 0.250004135130 Henry Cohn, 2026, needs more optimization.
24 898 0.250281043594 Henry Cohn, 2026, needs more optimization.
24 900 0.250313098459 Henry Cohn, 2026, needs more optimization.
24 901 0.250414215113 Henry Cohn, 2026, needs more optimization.
24 905 0.250519479146 Henry Cohn, 2026, needs more optimization.
24 907 0.250583148392 Henry Cohn, 2026, needs more optimization.
24 908 0.251107130904 Henry Cohn, 2026, needs more optimization.
24 909 0.251332745042 Henry Cohn, 2026, needs more optimization.
24 910 0.251782524822 Henry Cohn, 2026, needs more optimization.
24 911 0.254973931896 Henry Cohn, 2026, needs more optimization.
24 913 0.256056734453 Henry Cohn, 2026, needs more optimization.
24 914 0.256344994085 Henry Cohn, 2026, needs more optimization.
24 915 0.256492460811 Henry Cohn, 2026, needs more optimization.
24 916 0.256503538680 Henry Cohn, 2026, needs more optimization.
24 918 0.256653666693 Henry Cohn, 2026, needs more optimization.
24 919 0.257068155719 Henry Cohn, 2026, needs more optimization.
24 920 0.257311460227 Henry Cohn, 2026, needs more optimization.
24 921 0.257665075412 Henry Cohn, 2026, needs more optimization.
24 922 0.258332316217 Henry Cohn, 2026, needs more optimization.
24 923 0.258858484894 Henry Cohn, 2026, needs more optimization.
24 925 0.259403424644 Henry Cohn, 2026, needs more optimization.
24 926 0.261325223898 Henry Cohn, 2026, needs more optimization.
24 927 0.262294430656 Henry Cohn, 2026, needs more optimization.
24 928 0.262684479033 Henry Cohn, 2026, needs more optimization.
24 929 0.263689023228 Henry Cohn, 2026, needs more optimization.
24 930 0.264044771204 Henry Cohn, 2026, needs more optimization.
24 931 0.264490530102 Henry Cohn, 2026, needs more optimization.
24 932 0.265255468743 Henry Cohn, 2026, needs more optimization.
24 933 0.265493140330 Henry Cohn, 2026, needs more optimization.
24 934 0.266528952244 Henry Cohn, 2026, needs more optimization.
24 935 0.266844686440 Henry Cohn, 2026, needs more optimization.
24 936 0.267165419925 Henry Cohn, 2026, needs more optimization.
24 937 0.267595474456 Henry Cohn, 2026, needs more optimization.
24 938 0.268192127322 Henry Cohn, 2026, needs more optimization.
24 939 0.269020247564 Henry Cohn, 2026, needs more optimization.
24 940 0.269154870163 Henry Cohn, 2026, needs more optimization.
24 942 0.269170793992 Henry Cohn, 2026, needs more optimization.
24 943 0.270145502652 Henry Cohn, 2026, needs more optimization.
24 944 0.270952244584 Henry Cohn, 2026, needs more optimization.
24 945 0.271010090279 Henry Cohn, 2026, needs more optimization.
24 946 0.271416546529 Henry Cohn, 2026, needs more optimization.
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 0.037068271283 Henry Cohn, 2025.
25 55 0.04 Henry Cohn, 2026.
25⁢x−1
25 56 0.046433703861 Henry Cohn, 2025, needs more optimization.
25 57 0.046863844316 Henry Cohn, 2026.
25 58 0.046863920964 Henry Cohn, 2025.
25 59 0.051394584232 Henry Cohn, 2024.
25 60 0.052966665528 Henry Cohn, 2026.
25 61 0.056064008005 Henry Cohn, 2026.
25 62 0.060613957797 Henry Cohn, 2026.
25 63 0.062392555280 Henry Cohn, 2026.
25 64 0.064223832775 Henry Cohn, 2026.
25 65 0.065052412040 Henry Cohn, 2026, needs more optimization.
25 66 0.065052412054 Henry Cohn, 2026, needs more optimization.
25 67 0.066213049323 Henry Cohn, 2026, needs more optimization.
25 68 0.066469737270 Henry Cohn, 2026, needs more optimization.
25 69 0.068627707329 Henry Cohn, 2026.
25 70 0.071055411990 Henry Cohn, 2026.
25 71 0.071830765227 Henry Cohn, 2026, needs more optimization.
25 72 0.073344942709 Henry Cohn, 2026, needs more optimization.
25 73 0.076172581591 Henry Cohn, 2026, needs more optimization.
25 74 0.076833417592 Henry Cohn, 2026, needs more optimization.
25 76 0.076923161283 Henry Cohn, 2026, needs more optimization.
25 77 0.077470279337 Henry Cohn, 2026, needs more optimization.
25 78 0.077920644306 Henry Cohn, 2026, needs more optimization.
25 79 0.078551973932 Henry Cohn, 2026, needs more optimization.
25 80 0.080840230762 Henry Cohn, 2026, needs more optimization.
25 81 0.082222637124 Henry Cohn, 2026, needs more optimization.
25 82 0.082621136786 Henry Cohn, 2026, needs more optimization.
25 83 0.082980524333 Henry Cohn, 2026, needs more optimization.
25 85 0.083095965811 Henry Cohn, 2026, needs more optimization.
25 86 0.083271833347 Henry Cohn, 2026, needs more optimization.
25 87 0.083304914428 Henry Cohn, 2026, needs more optimization.
25 88 0.083317142846 Henry Cohn, 2026, needs more optimization.
25 89 0.085175113776 Henry Cohn, 2026, needs more optimization.
25 90 0.087169375561 Henry Cohn, 2026, needs more optimization.
25 91 0.087278836679 Henry Cohn, 2026, needs more optimization.
25 92 0.088771794892 Henry Cohn, 2026, needs more optimization.
25 93 0.089638353276 Henry Cohn, 2026, needs more optimization.
25 94 0.089925041041 Henry Cohn, 2026, needs more optimization.
25 95 0.090473078937 Henry Cohn, 2026, needs more optimization.
25 96 0.090646506664 Henry Cohn, 2026, needs more optimization.
25 97 0.090830860718 Henry Cohn, 2026, needs more optimization.
25 98 0.090837311876 Henry Cohn, 2026, needs more optimization.
25 99 0.090896960218 Henry Cohn, 2026, needs more optimization.
25 100 0.090907038701 Henry Cohn, 2026, needs more optimization.
25 101 0.090908872557 Henry Cohn, 2026, needs more optimization.
25 105 0.090909090571 Orthogonal union of 103 points in 24 dimensions and 2 points in 1 dimension.
25 106 0.090909090572 Orthogonal union of 104 points in 24 dimensions and 2 points in 1 dimension.
25 107 0.090909472483 Henry Cohn, 2026, needs more optimization.
25 108 0.090911537399 Henry Cohn, 2026, needs more optimization.
25 109 0.095542644965 Henry Cohn, 2026, needs more optimization.
25 110 0.099775964507 Henry Cohn, 2026, needs more optimization.
25 111 0.102647647613 Henry Cohn, 2026, needs more optimization.
25 117 0.105319726475 Henry Cohn, 2026.
375⁢x2−30⁢x−1
25 118 0.107225148391 Henry Cohn, 2026, needs more optimization.
25 119 0.108645883228 Henry Cohn, 2026, needs more optimization.
25 120 0.108684698063 Henry Cohn, 2026, needs more optimization.
25 121 0.109312819906 Henry Cohn, 2026, needs more optimization.
25 122 0.109561785849 Henry Cohn, 2026, needs more optimization.
25 123 0.110845471394 Henry Cohn, 2026, needs more optimization.
25 124 0.111106076166 Henry Cohn, 2026, needs more optimization.
25 125 0.111109898207 Henry Cohn, 2026, needs more optimization.
25 126 0.111126173005 Henry Cohn, 2026, needs more optimization.
25 127 0.111143895763 Henry Cohn, 2026, needs more optimization.
25 128 0.111341725336 Henry Cohn, 2026, needs more optimization.
25 129 0.117080391727 Henry Cohn, 2026, needs more optimization.
25 130 0.120012444105 Henry Cohn, 2026, needs more optimization.
25 131 0.121764571067 Henry Cohn, 2026, needs more optimization.
25 132 0.123583659378 Henry Cohn, 2026, needs more optimization.
25 133 0.124985789540 Henry Cohn, 2026, needs more optimization.
25 134 0.126246752801 Henry Cohn, 2026, needs more optimization.
25 135 0.128192665800 Henry Cohn, 2026, needs more optimization.
25 136 0.129733248070 Henry Cohn, 2026, needs more optimization.
25 137 0.131717972090 Henry Cohn, 2026, needs more optimization.
25 138 0.131762892756 Henry Cohn, 2026, needs more optimization.
25 139 0.131778070620 Henry Cohn, 2026, needs more optimization.
25 140 0.131785391324 Henry Cohn, 2026, needs more optimization.
25 141 0.131850151785 Henry Cohn, 2026, needs more optimization.
25 142 0.132309818517 Henry Cohn, 2026, needs more optimization.
25 143 0.132846208972 Henry Cohn, 2026, needs more optimization.
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 0.135174272998 Henry Cohn, 2026, needs more optimization.
25 158 0.137173435463 Henry Cohn, 2026, needs more optimization.
25 159 0.138163030896 Henry Cohn, 2026, needs more optimization.
25 160 0.140205146706 Henry Cohn, 2026, needs more optimization.
25 161 0.141385131138 Henry Cohn, 2026, needs more optimization.
25 162 0.142851195864 Henry Cohn, 2026, needs more optimization.
25 163 0.142851360041 Henry Cohn, 2026, needs more optimization.
25 164 0.142851609047 Henry Cohn, 2026, needs more optimization.
25 165 0.142852077406 Henry Cohn, 2026, needs more optimization.
25 166 0.142852301788 Henry Cohn, 2026, needs more optimization.
25 168 0.142852370811 Henry Cohn, 2026, needs more optimization.
25 169 0.142852406364 Henry Cohn, 2026, needs more optimization.
25 172 0.142852511919 Henry Cohn, 2026, needs more optimization.
25 173 0.142857138992 Henry Cohn, 2026, needs more optimization.
25 174 0.142857139031 Henry Cohn, 2026, needs more optimization.
25 175 0.142857171592 Orthogonal union of 173 points in 24 dimensions and 2 points in 1 dimension.
25 176 0.142857171686 Henry Cohn, 2026, needs more optimization.
25 177 0.142861192277 Henry Cohn, 2026, needs more optimization.
25 178 0.142890479069 Henry Cohn, 2026, needs more optimization.
25 179 0.142939334966 Henry Cohn, 2026, needs more optimization.
25 180 0.143255116342 Henry Cohn, 2026, needs more optimization.
25 181 0.144736697893 Henry Cohn, 2026, needs more optimization.
25 182 0.144743979354 Henry Cohn, 2026, needs more optimization.
25 183 0.145949206443 Henry Cohn, 2026, needs more optimization.
25 184 0.147691664211 Henry Cohn, 2026, needs more optimization.
25 185 0.148569748991 Henry Cohn, 2026, needs more optimization.
25 186 0.148813220170 Henry Cohn, 2026, needs more optimization.
25 187 0.149326626422 Henry Cohn, 2026, needs more optimization.
25 188 0.150764320018 Henry Cohn, 2026, needs more optimization.
25 189 0.151830164340 Henry Cohn, 2026, needs more optimization.
25 190 0.152874004049 Henry Cohn, 2026, needs more optimization.
25 191 0.153285660531 Henry Cohn, 2026, needs more optimization.
25 192 0.153471122490 Henry Cohn, 2026, needs more optimization.
25 193 0.153615218928 Henry Cohn, 2026, needs more optimization.
25 194 0.154409899017 Henry Cohn, 2026, needs more optimization.
25 195 0.156268920800 Henry Cohn, 2026, needs more optimization.
25 196 0.156987070406 Henry Cohn, 2026, needs more optimization.
25 197 0.157155150276 Henry Cohn, 2026, needs more optimization.
25 198 0.157756770636 Henry Cohn, 2026, needs more optimization.
25 199 0.158997234525 Henry Cohn, 2026, needs more optimization.
25 200 0.159731289288 Henry Cohn, 2026, needs more optimization.
25 201 0.160154478539 Henry Cohn, 2026, needs more optimization.
25 202 0.160709225165 Henry Cohn, 2026, needs more optimization.
25 203 0.161118732344 Henry Cohn, 2026, needs more optimization.
25 204 0.161529361918 Henry Cohn, 2026, needs more optimization.
25 205 0.161875611815 Henry Cohn, 2026, needs more optimization.
25 206 0.161882807992 Henry Cohn, 2026, needs more optimization.
25 207 0.161890644419 Henry Cohn, 2026, needs more optimization.
25 208 0.161890801385 Henry Cohn, 2026, needs more optimization.
25 209 0.161893915748 Henry Cohn, 2026, needs more optimization.
25 214 0.161894504878 Henry Cohn, 2026, needs more optimization.
25 215 0.161899368610 Henry Cohn, 2026, needs more optimization.
25 216 0.161907673592 Henry Cohn, 2026, needs more optimization.
25 217 0.161909385364 Henry Cohn, 2026, needs more optimization.
25 218 0.161911780320 Henry Cohn, 2026, needs more optimization.
25 219 0.161927323017 Henry Cohn, 2026, needs more optimization.
25 220 0.161927394908 Henry Cohn, 2026, needs more optimization.
25 221 0.161932045516 Henry Cohn, 2026, needs more optimization.
25 222 0.161945359284 Henry Cohn, 2026, needs more optimization.
25 223 0.162220523358 Henry Cohn, 2026, needs more optimization.
25 224 0.162666472659 Henry Cohn, 2026, needs more optimization.
25 225 0.162918859954 Henry Cohn, 2026, needs more optimization.
25 226 0.163626910296 Henry Cohn, 2026, needs more optimization.
25 227 0.164359064254 Henry Cohn, 2026, needs more optimization.
25 228 0.164681992283 Henry Cohn, 2026, needs more optimization.
25 229 0.165179765996 Henry Cohn, 2026, needs more optimization.
25 230 0.165476376079 Henry Cohn, 2026, needs more optimization.
25 231 0.165905177722 Henry Cohn, 2026, needs more optimization.
25 232 0.166057840808 Henry Cohn, 2026, needs more optimization.
25 233 0.166260349614 Henry Cohn, 2026, needs more optimization.
25 234 0.166431543637 Henry Cohn, 2026, needs more optimization.
25 235 0.166528102246 Henry Cohn, 2026, needs more optimization.
25 236 0.166581943893 Henry Cohn, 2026, needs more optimization.
25 237 0.166623315931 Henry Cohn, 2026, needs more optimization.
25 282 0.166666666667 Orthogonal union of 278 points in 23 dimensions and 4 points in 2 dimensions.
6⁢x−1
25 285 0.166666872445 Henry Cohn, 2026, needs more optimization.
25 286 0.166673886209 Henry Cohn, 2026, needs more optimization.
25 287 0.166673967469 Henry Cohn, 2026, needs more optimization.
25 288 0.166676454141 Henry Cohn, 2026, needs more optimization.
25 289 0.166679741042 Henry Cohn, 2026, needs more optimization.
25 290 0.166732046401 Henry Cohn, 2026, needs more optimization.
25 291 0.167678624269 Henry Cohn, 2026, needs more optimization.
25 292 0.169497230764 Henry Cohn, 2026, needs more optimization.
25 293 0.170019922462 Henry Cohn, 2026, needs more optimization.
25 294 0.172093154544 Henry Cohn, 2026, needs more optimization.
25 295 0.173795189726 Henry Cohn, 2026, needs more optimization.
25 296 0.175977574975 Henry Cohn, 2026, needs more optimization.
25 297 0.177355375070 Henry Cohn, 2026, needs more optimization.
25 298 0.178952526729 Henry Cohn, 2026, needs more optimization.
25 299 0.180534370570 Henry Cohn, 2026, needs more optimization.
25 315 0.181818181819 Orthogonal union of 313 points in 24 dimensions and 2 points in 1 dimension.
11⁢x−2
25 316 0.181821072239 Henry Cohn, 2026, needs more optimization.
25 317 0.181823213140 Henry Cohn, 2026, needs more optimization.
25 318 0.181823591378 Henry Cohn, 2026, needs more optimization.
25 319 0.181831477898 Henry Cohn, 2026, needs more optimization.
25 320 0.181832500119 Henry Cohn, 2026, needs more optimization.
25 321 0.182453088049 Henry Cohn, 2026, needs more optimization.
25 322 0.183707464507 Henry Cohn, 2026, needs more optimization.
25 323 0.185178932199 Henry Cohn, 2026, needs more optimization.
25 324 0.186270815162 Henry Cohn, 2026, needs more optimization.
25 325 0.187328311403 Henry Cohn, 2026, needs more optimization.
25 326 0.188055781224 Henry Cohn, 2026, needs more optimization.
25 327 0.190100118477 Henry Cohn, 2026, needs more optimization.
25 328 0.191245751125 Henry Cohn, 2026, needs more optimization.
25 329 0.192396665294 Henry Cohn, 2026, needs more optimization.
25 332 0.193548387097 Orthogonal union of 330 points in 24 dimensions and 2 points in 1 dimension.
31⁢x−6
25 333 0.193556902835 Henry Cohn, 2026, needs more optimization.
25 334 0.193557162854 Henry Cohn, 2026, needs more optimization.
25 335 0.193910613235 Henry Cohn, 2026, needs more optimization.
25 340 0.194120819408 Henry Cohn, 2026, needs more optimization.
25 341 0.196577298509 Henry Cohn, 2026, needs more optimization.
25 342 0.198091620698 Henry Cohn, 2026, needs more optimization.
25 343 0.199580646981 Henry Cohn, 2026, needs more optimization.
25 556 0.2 Orthogonal union of 552 points in 23 dimensions and 4 points in 2 dimensions.
5⁢x−1
25 557 0.200003594574 Henry Cohn, 2026, needs more optimization.
25 558 0.200010840602 Henry Cohn, 2026, needs more optimization.
25 559 0.200021590798 Henry Cohn, 2026, needs more optimization.
25 561 0.200031406076 Henry Cohn, 2026, needs more optimization.
25 562 0.200035494492 Henry Cohn, 2026, needs more optimization.
25 563 0.200371874075 Henry Cohn, 2026, needs more optimization.
25 564 0.201410084073 Henry Cohn, 2026, needs more optimization.
25 565 0.203404792529 Henry Cohn, 2026, needs more optimization.
25 566 0.207018189082 Henry Cohn, 2026, needs more optimization.
25 567 0.209929027249 Henry Cohn, 2026, needs more optimization.
25 568 0.211782596830 Henry Cohn, 2026, needs more optimization.
25 569 0.214519036197 Henry Cohn, 2026, needs more optimization.
25 570 0.216521756973 Henry Cohn, 2026, needs more optimization.
25 571 0.218027344860 Henry Cohn, 2026, needs more optimization.
25 572 0.219556943580 Henry Cohn, 2026, needs more optimization.
25 573 0.221369641243 Henry Cohn, 2026, needs more optimization.
25 574 0.222283179523 Henry Cohn, 2026, needs more optimization.
25 575 0.223754037899 Henry Cohn, 2026, needs more optimization.
25 576 0.224724801661 Henry Cohn, 2026, needs more optimization.
25 577 0.226374140150 Henry Cohn, 2026, needs more optimization.
25 578 0.226432944367 Henry Cohn, 2026, needs more optimization.
25 579 0.227448737074 Henry Cohn, 2026, needs more optimization.
25 580 0.228345189254 Henry Cohn, 2026, needs more optimization.
25 581 0.229145069203 Henry Cohn, 2026, needs more optimization.
25 582 0.229609599647 Henry Cohn, 2026, needs more optimization.
25 583 0.230845108445 Henry Cohn, 2026, needs more optimization.
25 584 0.231793822562 Henry Cohn, 2026, needs more optimization.
25 585 0.232070124865 Henry Cohn, 2026, needs more optimization.
25 586 0.233047935605 Henry Cohn, 2026, needs more optimization.
25 587 0.233559224564 Henry Cohn, 2026, needs more optimization.
25 588 0.234230762869 Henry Cohn, 2026, needs more optimization.
25 589 0.235078334291 Henry Cohn, 2026, needs more optimization.
25 590 0.235717374166 Henry Cohn, 2026, needs more optimization.
25 591 0.236507767201 Henry Cohn, 2026, needs more optimization.
25 592 0.237434052507 Henry Cohn, 2026, needs more optimization.
25 593 0.237524652013 Henry Cohn, 2026, needs more optimization.
25 594 0.237780512194 Henry Cohn, 2026, needs more optimization.
25 595 0.238125926182 Henry Cohn, 2026, needs more optimization.
25 597 0.238127276998 Henry Cohn, 2026, needs more optimization.
25 599 0.238129230494 Henry Cohn, 2026, needs more optimization.
25 600 0.238129635355 Henry Cohn, 2026, needs more optimization.
25 601 0.238137295386 Henry Cohn, 2026, needs more optimization.
25 602 0.238143414058 Henry Cohn, 2026, needs more optimization.
25 603 0.238149214772 Henry Cohn, 2026, needs more optimization.
25 604 0.238150594765 Henry Cohn, 2026, needs more optimization.
25 607 0.238152919820 Henry Cohn, 2026, needs more optimization.
25 608 0.238168093375 Henry Cohn, 2026, needs more optimization.
25 609 0.238182432607 Henry Cohn, 2026, needs more optimization.
25 611 0.238203558434 Henry Cohn, 2026, needs more optimization.
25 612 0.238230920198 Henry Cohn, 2026, needs more optimization.
25 613 0.238241647950 Henry Cohn, 2026, needs more optimization.
25 614 0.238654975325 Henry Cohn, 2026, needs more optimization.
25 615 0.238706567278 Henry Cohn, 2026, needs more optimization.
25 616 0.238914032478 Henry Cohn, 2026, needs more optimization.
25 617 0.239283336801 Henry Cohn, 2026, needs more optimization.
25 618 0.239530254677 Henry Cohn, 2026, needs more optimization.
25 619 0.239680294200 Henry Cohn, 2026, needs more optimization.
25 620 0.239710069984 Henry Cohn, 2026, needs more optimization.
25 621 0.240101379694 Henry Cohn, 2026, needs more optimization.
25 622 0.240344052408 Henry Cohn, 2026, needs more optimization.
25 623 0.241269000982 Henry Cohn, 2026, needs more optimization.
25 624 0.241677224820 Henry Cohn, 2026, needs more optimization.
25 625 0.241826670149 Henry Cohn, 2026, needs more optimization.
25 626 0.242027735907 Henry Cohn, 2026, needs more optimization.
25 627 0.247538233072 Henry Cohn, 2026, needs more optimization.
25 629 0.248069577307 Henry Cohn, 2026, needs more optimization.
25 631 0.248174411401 Henry Cohn, 2026, needs more optimization.
25 632 0.248564979175 Henry Cohn, 2026, needs more optimization.
25 633 0.248590323489 Henry Cohn, 2026, needs more optimization.
25 635 0.248595795544 Henry Cohn, 2026, needs more optimization.
25 636 0.248668558914 Henry Cohn, 2026, needs more optimization.
25 639 0.248707691633 Henry Cohn, 2026, needs more optimization.
25 640 0.248833969733 Henry Cohn, 2026, needs more optimization.
25 641 0.248894091386 Henry Cohn, 2026, needs more optimization.
25 642 0.248968723853 Henry Cohn, 2026, needs more optimization.
25 644 0.249024400197 Henry Cohn, 2026, needs more optimization.
25 645 0.249078482850 Henry Cohn, 2026, needs more optimization.
25 646 0.249120981765 Henry Cohn, 2026, needs more optimization.
25 647 0.249170473577 Henry Cohn, 2026, needs more optimization.
25 652 0.249180735621 Henry Cohn, 2026, needs more optimization.
25 653 0.249233190816 Henry Cohn, 2026, needs more optimization.
25 655 0.249261130504 Henry Cohn, 2026, needs more optimization.
25 656 0.249298011865 Henry Cohn, 2026, needs more optimization.
25 658 0.249355881419 Henry Cohn, 2026, needs more optimization.
25 659 0.249451043185 Henry Cohn, 2026, needs more optimization.
25 660 0.249488312089 Henry Cohn, 2026, needs more optimization.
25 661 0.249507260973 Henry Cohn, 2026, needs more optimization.
25 662 0.249545928601 Henry Cohn, 2026, needs more optimization.
25 663 0.249560742764 Henry Cohn, 2026, needs more optimization.
25 664 0.249600237932 Henry Cohn, 2026, needs more optimization.
25 665 0.249634965229 Henry Cohn, 2026, needs more optimization.
25 666 0.249710543640 Henry Cohn, 2026, needs more optimization.
25 668 0.249765881795 Henry Cohn, 2026, needs more optimization.
25 670 0.249778195054 Henry Cohn, 2026, needs more optimization.
25 671 0.249805945084 Henry Cohn, 2026, needs more optimization.
25 672 0.249838249618 Henry Cohn, 2026, needs more optimization.
25 675 0.249915007512 Henry Cohn, 2026, needs more optimization.
25 676 0.249917758951 Henry Cohn, 2026, needs more optimization.
25 677 0.249946253339 Henry Cohn, 2026, needs more optimization.
25 900 0.25 Henry Cohn, 2025.
4⁢x−1
25 901 0.250037345487 Henry Cohn, 2026, needs more optimization.
25 912 0.250104800224 Henry Cohn, 2026, needs more optimization.
25 914 0.250117128182 Henry Cohn, 2026, needs more optimization.
25 916 0.250136617581 Henry Cohn, 2026, needs more optimization.
25 917 0.250253724244 Henry Cohn, 2026, needs more optimization.
25 918 0.250288604194 Henry Cohn, 2026, needs more optimization.
25 919 0.250378474365 Henry Cohn, 2026, needs more optimization.
25 920 0.250425318122 Henry Cohn, 2026, needs more optimization.
25 922 0.251065531831 Henry Cohn, 2026, needs more optimization.
25 923 0.251253762187 Henry Cohn, 2026, needs more optimization.
25 924 0.251466778691 Henry Cohn, 2026, needs more optimization.
25 925 0.251582649996 Henry Cohn, 2026, needs more optimization.
25 927 0.252047753694 Henry Cohn, 2026, needs more optimization.
25 928 0.252742698517 Henry Cohn, 2026, needs more optimization.
25 929 0.253522186505 Henry Cohn, 2026, needs more optimization.
25 930 0.253831167161 Henry Cohn, 2026, needs more optimization.
25 931 0.254426886245 Henry Cohn, 2026, needs more optimization.
25 932 0.254789625922 Henry Cohn, 2026, needs more optimization.
25 933 0.255129324298 Henry Cohn, 2026, needs more optimization.
25 934 0.255730410338 Henry Cohn, 2026, needs more optimization.
25 935 0.256178563035 Henry Cohn, 2026, needs more optimization.
25 936 0.256879295210 Henry Cohn, 2026, needs more optimization.
25 937 0.257441280391 Henry Cohn, 2026, needs more optimization.
25 938 0.257813797132 Henry Cohn, 2026, needs more optimization.
25 939 0.258111458572 Henry Cohn, 2026, needs more optimization.
25 940 0.258474538357 Henry Cohn, 2026, needs more optimization.
25 941 0.259092410840 Henry Cohn, 2026, needs more optimization.
25 942 0.259759182828 Henry Cohn, 2026, needs more optimization.
25 943 0.260026895953 Henry Cohn, 2026, needs more optimization.
25 944 0.260462045500 Henry Cohn, 2026, needs more optimization.
25 945 0.261099174393 Henry Cohn, 2026, needs more optimization.
25 946 0.261543379805 Henry Cohn, 2026, needs more optimization.
25 947 0.261776450392 Henry Cohn, 2026, needs more optimization.
25 948 0.262160771521 Henry Cohn, 2026, needs more optimization.
25 949 0.262821965879 Henry Cohn, 2026, needs more optimization.
25 950 0.263478009722 Henry Cohn, 2026, needs more optimization.
25 951 0.263664145495 Henry Cohn, 2026, needs more optimization.
25 953 0.264403408103 Henry Cohn, 2026, needs more optimization.
25 954 0.264604373409 Henry Cohn, 2026, needs more optimization.
25 955 0.265146446621 Henry Cohn, 2026, needs more optimization.
25 956 0.265798221867 Henry Cohn, 2026, needs more optimization.
25 957 0.266226531235 Henry Cohn, 2026, needs more optimization.
25 958 0.266590154566 Henry Cohn, 2026, needs more optimization.
25 959 0.267056094433 Henry Cohn, 2026, needs more optimization.
25 960 0.267375951152 Henry Cohn, 2026, needs more optimization.
25 961 0.267615172854 Henry Cohn, 2026, needs more optimization.
25 962 0.267658673696 Henry Cohn, 2026, needs more optimization.
25 963 0.267896975271 Henry Cohn, 2026, needs more optimization.
25 964 0.268277527912 Henry Cohn, 2026, needs more optimization.
25 965 0.268668604533 Henry Cohn, 2026, needs more optimization.
25 966 0.269031296476 Henry Cohn, 2026, needs more optimization.
25 967 0.269377438804 Henry Cohn, 2026, needs more optimization.
25 969 0.269909137212 Henry Cohn, 2026, needs more optimization.
25 970 0.270087235557 Henry Cohn, 2026, needs more optimization.
25 971 0.270440236637 Henry Cohn, 2026, needs more optimization.
25 972 0.270754956134 Henry Cohn, 2026, needs more optimization.
25 973 0.270833375696 Henry Cohn, 2026, needs more optimization.
25 974 0.270972703541 Henry Cohn, 2026, needs more optimization.
25 975 0.271638508144 Henry Cohn, 2026, needs more optimization.
25 976 0.271924657928 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 0.035747861992 Henry Cohn, 2026.
26 57 0.04 Orthogonal union of 55 points in 25 dimensions and 2 points in 1 dimension.
25⁢x−1
26 58 0.045550434603 Henry Cohn, 2024.
26 59 0.046163974402 Henry Cohn, 2025.
26 60 0.046455966295 Henry Cohn, 2026.
26 61 0.049243792036 Henry Cohn, 2026.
26 62 0.051908007699 Henry Cohn, 2026.
26 63 0.054427947454 Henry Cohn, 2026.
26 64 0.056899291387 Henry Cohn, 2026, needs more optimization.
26 65 0.060274304039 Henry Cohn, 2026, needs more optimization.
26 66 0.062099839613 Henry Cohn, 2026, needs more optimization.
26 67 0.063559234920 Henry Cohn, 2026, needs more optimization.
26 68 0.063600411317 Henry Cohn, 2026, needs more optimization.
26 69 0.064916628125 Henry Cohn, 2026, needs more optimization.
26 70 0.065400201653 Henry Cohn, 2026, needs more optimization.
26 71 0.067315604578 Henry Cohn, 2026.
26 72 0.068297564144 Henry Cohn, 2026, needs more optimization.
26 73 0.070930211069 Henry Cohn, 2026, needs more optimization.
26 74 0.073191111903 Henry Cohn, 2026, needs more optimization.
26 75 0.074028141344 Henry Cohn, 2026, needs more optimization.
26 76 0.075372326349 Henry Cohn, 2026, needs more optimization.
26 77 0.076354800296 Henry Cohn, 2026, needs more optimization.
26 78 0.076864987251 Henry Cohn, 2026, needs more optimization.
26 79 0.076920087992 Henry Cohn, 2026, needs more optimization.
26 80 0.076966570457 Henry Cohn, 2026, needs more optimization.
26 81 0.077577284271 Henry Cohn, 2026, needs more optimization.
26 82 0.077924828163 Henry Cohn, 2026, needs more optimization.
26 83 0.078212244156 Henry Cohn, 2026, needs more optimization.
26 84 0.078416092500 Henry Cohn, 2026, needs more optimization.
26 85 0.078954583887 Henry Cohn, 2026, needs more optimization.
26 86 0.079546277630 Henry Cohn, 2026, needs more optimization.
26 92 0.080685003328 Henry Cohn, 2026.
575⁢x2−34⁢x−1
26 93 0.080686308917 Henry Cohn, 2026, needs more optimization.
26 94 0.080686382949 Henry Cohn, 2026, needs more optimization.
26 95 0.083041609501 Henry Cohn, 2026, needs more optimization.
26 96 0.085917239782 Henry Cohn, 2026, needs more optimization.
26 97 0.089291939399 Henry Cohn, 2026, needs more optimization.
26 98 0.089793028004 Henry Cohn, 2026, needs more optimization.
26 99 0.090058550732 Henry Cohn, 2026, needs more optimization.
26 100 0.090360613045 Henry Cohn, 2026, needs more optimization.
26 101 0.090571187106 Henry Cohn, 2026, needs more optimization.
26 102 0.090686733783 Henry Cohn, 2026, needs more optimization.
26 103 0.090772374883 Henry Cohn, 2026, needs more optimization.
26 104 0.090847260148 Henry Cohn, 2026, needs more optimization.
26 105 0.090867443639 Henry Cohn, 2026, needs more optimization.
26 106 0.090898073286 Henry Cohn, 2026, needs more optimization.
26 108 0.090899908501 Henry Cohn, 2026, needs more optimization.
26 109 0.090904435391 Henry Cohn, 2026, needs more optimization.
26 110 0.090909315688 Henry Cohn, 2026, needs more optimization.
26 111 0.091919143144 Henry Cohn, 2026, needs more optimization.
26 112 0.094492508573 Henry Cohn, 2026, needs more optimization.
26 113 0.097432421977 Henry Cohn, 2026, needs more optimization.
26 114 0.100692911134 Henry Cohn, 2026, needs more optimization.
26 120 0.103125332235 Henry Cohn, 2026.
191⁢x2−10⁢x−1
26 121 0.103746590293 Henry Cohn, 2026, needs more optimization.
26 122 0.105414605870 Henry Cohn, 2026, needs more optimization.
26 123 0.106265042620 Henry Cohn, 2026, needs more optimization.
26 124 0.107120746223 Henry Cohn, 2026, needs more optimization.
26 125 0.107687086899 Henry Cohn, 2026, needs more optimization.
26 126 0.108578647492 Henry Cohn, 2026, needs more optimization.
26 127 0.109103950369 Henry Cohn, 2026, needs more optimization.
26 128 0.111064854283 Henry Cohn, 2026, needs more optimization.
26 129 0.111074194437 Henry Cohn, 2026, needs more optimization.
26 130 0.111088611292 Henry Cohn, 2026, needs more optimization.
26 131 0.111106517793 Henry Cohn, 2026, needs more optimization.
26 132 0.112890660420 Henry Cohn, 2026, needs more optimization.
26 133 0.114566939446 Henry Cohn, 2026, needs more optimization.
26 134 0.115459530800 Henry Cohn, 2026, needs more optimization.
26 135 0.116309908990 Henry Cohn, 2026, needs more optimization.
26 136 0.116455214708 Henry Cohn, 2026, needs more optimization.
26 137 0.117196979356 Henry Cohn, 2026, needs more optimization.
26 138 0.118642954389 Henry Cohn, 2026, needs more optimization.
26 139 0.122355924559 Henry Cohn, 2026, needs more optimization.
26 140 0.125370003657 Henry Cohn, 2026, needs more optimization.
26 141 0.127980122191 Henry Cohn, 2026, needs more optimization.
26 142 0.130241920268 Henry Cohn, 2026, needs more optimization.
26 143 0.131472138380 Henry Cohn, 2026, needs more optimization.
26 144 0.131692000742 Henry Cohn, 2026, needs more optimization.
26 145 0.131732646302 Henry Cohn, 2026, needs more optimization.
26 146 0.131788551438 Henry Cohn, 2026, needs more optimization.
26 147 0.131911831403 Henry Cohn, 2026, needs more optimization.
26 148 0.132096526263 Henry Cohn, 2026, needs more optimization.
26 149 0.132440765683 Henry Cohn, 2026, needs more optimization.
26 150 0.133025668482 Henry Cohn, 2026, needs more optimization.
26 158 0.133333333334 Orthogonal union of 156 points in 25 dimensions and 2 points in 1 dimension.
15⁢x−2
26 159 0.133338325749 Henry Cohn, 2026, needs more optimization.
26 160 0.134598514009 Henry Cohn, 2026, needs more optimization.
26 161 0.135140857431 Henry Cohn, 2026, needs more optimization.
26 162 0.135384609258 Henry Cohn, 2026, needs more optimization.
26 163 0.136053470788 Henry Cohn, 2026, needs more optimization.
26 164 0.136787993468 Henry Cohn, 2026, needs more optimization.
26 165 0.138337750976 Henry Cohn, 2026, needs more optimization.
26 166 0.138941425001 Henry Cohn, 2026, needs more optimization.
26 167 0.140055410366 Henry Cohn, 2026, needs more optimization.
26 168 0.141037807557 Henry Cohn, 2026, needs more optimization.
26 169 0.142716375378 Henry Cohn, 2026, needs more optimization.
26 170 0.142752395312 Henry Cohn, 2026, needs more optimization.
26 171 0.142761410852 Henry Cohn, 2026, needs more optimization.
26 172 0.142769052762 Henry Cohn, 2026, needs more optimization.
26 173 0.142786046080 Henry Cohn, 2026, needs more optimization.
26 174 0.142803068123 Henry Cohn, 2026, needs more optimization.
26 175 0.142811729137 Henry Cohn, 2026, needs more optimization.
26 176 0.142821345728 Henry Cohn, 2026, needs more optimization.
26 177 0.142821892571 Henry Cohn, 2026, needs more optimization.
26 178 0.142826800864 Henry Cohn, 2026, needs more optimization.
26 179 0.142828140642 Henry Cohn, 2026, needs more optimization.
26 180 0.142829433641 Henry Cohn, 2026, needs more optimization.
26 181 0.142839040285 Henry Cohn, 2026, needs more optimization.
26 182 0.142851523137 Henry Cohn, 2026, needs more optimization.
26 183 0.142856569839 Henry Cohn, 2026, needs more optimization.
26 184 0.142861663193 Henry Cohn, 2026, needs more optimization.
26 185 0.142903385455 Henry Cohn, 2026, needs more optimization.
26 186 0.143134819699 Henry Cohn, 2026, needs more optimization.
26 187 0.143817566258 Henry Cohn, 2026, needs more optimization.
26 188 0.145289930972 Henry Cohn, 2026, needs more optimization.
26 189 0.145815932770 Henry Cohn, 2026, needs more optimization.
26 190 0.146893996343 Henry Cohn, 2026, needs more optimization.
26 191 0.146989724218 Henry Cohn, 2026, needs more optimization.
26 192 0.147430318439 Henry Cohn, 2026, needs more optimization.
26 193 0.148138607321 Henry Cohn, 2026, needs more optimization.
26 194 0.148594580258 Henry Cohn, 2026, needs more optimization.
26 195 0.149184028976 Henry Cohn, 2026, needs more optimization.
26 196 0.149830727767 Henry Cohn, 2026, needs more optimization.
26 197 0.150606692248 Henry Cohn, 2026, needs more optimization.
26 198 0.150998226313 Henry Cohn, 2026, needs more optimization.
26 199 0.151315426380 Henry Cohn, 2026, needs more optimization.
26 200 0.152239985678 Henry Cohn, 2026, needs more optimization.
26 201 0.152953394230 Henry Cohn, 2026, needs more optimization.
26 202 0.153699604868 Henry Cohn, 2026, needs more optimization.
26 203 0.154314066374 Henry Cohn, 2026, needs more optimization.
26 204 0.155098987481 Henry Cohn, 2026, needs more optimization.
26 205 0.155221346871 Henry Cohn, 2026, needs more optimization.
26 206 0.155833815212 Henry Cohn, 2026, needs more optimization.
26 207 0.156010918397 Henry Cohn, 2026, needs more optimization.
26 208 0.156650074443 Henry Cohn, 2026, needs more optimization.
26 209 0.157433963995 Henry Cohn, 2026, needs more optimization.
26 210 0.157823257497 Henry Cohn, 2026, needs more optimization.
26 211 0.158670336482 Henry Cohn, 2026, needs more optimization.
26 212 0.159279245935 Henry Cohn, 2026, needs more optimization.
26 213 0.159631028891 Henry Cohn, 2026, needs more optimization.
26 214 0.160240776891 Henry Cohn, 2026, needs more optimization.
26 215 0.160954206790 Henry Cohn, 2026, needs more optimization.
26 216 0.161828445633 Henry Cohn, 2026, needs more optimization.
26 217 0.161830597167 Henry Cohn, 2026, needs more optimization.
26 218 0.161845881113 Henry Cohn, 2026, needs more optimization.
26 219 0.161847713633 Henry Cohn, 2026, needs more optimization.
26 220 0.161864098085 Henry Cohn, 2026, needs more optimization.
26 221 0.161873099627 Henry Cohn, 2026, needs more optimization.
26 222 0.161876789635 Henry Cohn, 2026, needs more optimization.
26 223 0.161893345807 Henry Cohn, 2026, needs more optimization.
26 224 0.161893454908 Henry Cohn, 2026, needs more optimization.
26 225 0.161902878480 Henry Cohn, 2026, needs more optimization.
26 226 0.161905375144 Henry Cohn, 2026, needs more optimization.
26 227 0.161907323397 Henry Cohn, 2026, needs more optimization.
26 228 0.161910024931 Henry Cohn, 2026, needs more optimization.
26 229 0.161910871651 Henry Cohn, 2026, needs more optimization.
26 230 0.161914723026 Henry Cohn, 2026, needs more optimization.
26 231 0.161942874552 Henry Cohn, 2026, needs more optimization.
26 232 0.161976510170 Henry Cohn, 2026, needs more optimization.
26 233 0.162068477822 Henry Cohn, 2026, needs more optimization.
26 234 0.162611847119 Henry Cohn, 2026, needs more optimization.
26 235 0.162971220117 Henry Cohn, 2026, needs more optimization.
26 236 0.163994625356 Henry Cohn, 2026, needs more optimization.
26 237 0.164269766943 Henry Cohn, 2026, needs more optimization.
26 238 0.164612021605 Henry Cohn, 2026, needs more optimization.
26 239 0.164866952677 Henry Cohn, 2026, needs more optimization.
26 240 0.165200539234 Henry Cohn, 2026, needs more optimization.
26 241 0.165343230799 Henry Cohn, 2026, needs more optimization.
26 242 0.165584411961 Henry Cohn, 2026, needs more optimization.
26 243 0.165730251910 Henry Cohn, 2026, needs more optimization.
26 244 0.165988205069 Henry Cohn, 2026, needs more optimization.
26 245 0.166136813490 Henry Cohn, 2026, needs more optimization.
26 246 0.166268880832 Henry Cohn, 2026, needs more optimization.
26 247 0.166423712318 Henry Cohn, 2026, needs more optimization.
26 248 0.166452259883 Henry Cohn, 2026, needs more optimization.
26 249 0.166455489343 Henry Cohn, 2026, needs more optimization.
26 250 0.166557551318 Henry Cohn, 2026, needs more optimization.
26 251 0.166608081137 Henry Cohn, 2026, needs more optimization.
26 252 0.166626012644 Henry Cohn, 2026, needs more optimization.
26 253 0.166658545303 Henry Cohn, 2026, needs more optimization.
26 285 0.166666666667 Orthogonal union of 275 points in 22 dimensions and 10 points in 4 dimensions.
6⁢x−1
26 287 0.166666872444 Henry Cohn, 2026, needs more optimization.
26 288 0.166672241662 Henry Cohn, 2026, needs more optimization.
26 289 0.166672343720 Henry Cohn, 2026, needs more optimization.
26 290 0.166673944342 Henry Cohn, 2026, needs more optimization.
26 291 0.166675552522 Henry Cohn, 2026, needs more optimization.
26 292 0.166676772841 Henry Cohn, 2026, needs more optimization.
26 293 0.166677985549 Henry Cohn, 2026, needs more optimization.
26 294 0.166679512938 Henry Cohn, 2026, needs more optimization.
26 295 0.166696437231 Henry Cohn, 2026, needs more optimization.
26 296 0.166723539059 Henry Cohn, 2026, needs more optimization.
26 297 0.166913178532 Henry Cohn, 2026, needs more optimization.
26 298 0.167361099781 Henry Cohn, 2026, needs more optimization.
26 299 0.168454824344 Henry Cohn, 2026, needs more optimization.
26 300 0.169977137306 Henry Cohn, 2026, needs more optimization.
26 301 0.170991427664 Henry Cohn, 2026, needs more optimization.
26 302 0.172187962266 Henry Cohn, 2026, needs more optimization.
26 303 0.174017054377 Henry Cohn, 2026, needs more optimization.
26 304 0.175774146638 Henry Cohn, 2026, needs more optimization.
26 305 0.176782721506 Henry Cohn, 2026, needs more optimization.
26 306 0.178538362776 Henry Cohn, 2026, needs more optimization.
26 307 0.180070745445 Henry Cohn, 2026, needs more optimization.
26 308 0.180911896123 Henry Cohn, 2026, needs more optimization.
26 317 0.181818181819 Orthogonal union of 313 points in 24 dimensions and 4 points in 2 dimensions.
11⁢x−2
26 318 0.181820914282 Henry Cohn, 2026, needs more optimization.
26 319 0.181823213140 Orthogonal union of 317 points in 25 dimensions and 2 points in 1 dimension.
26 320 0.181823304610 Henry Cohn, 2026, needs more optimization.
26 321 0.181824309999 Henry Cohn, 2026, needs more optimization.
26 322 0.181824449174 Henry Cohn, 2026, needs more optimization.
26 323 0.181824610181 Henry Cohn, 2026, needs more optimization.
26 324 0.181826521250 Henry Cohn, 2026, needs more optimization.
26 325 0.181826995501 Henry Cohn, 2026, needs more optimization.
26 326 0.181828457633 Henry Cohn, 2026, needs more optimization.
26 327 0.181828878408 Henry Cohn, 2026, needs more optimization.
26 328 0.181832880026 Henry Cohn, 2026, needs more optimization.
26 329 0.181837050704 Henry Cohn, 2026, needs more optimization.
26 330 0.181865275364 Henry Cohn, 2026, needs more optimization.
26 331 0.182176572975 Henry Cohn, 2026, needs more optimization.
26 332 0.182809111661 Henry Cohn, 2026, needs more optimization.
26 333 0.184024357184 Henry Cohn, 2026, needs more optimization.
26 334 0.185184131582 Henry Cohn, 2026, needs more optimization.
26 335 0.185967311734 Henry Cohn, 2026, needs more optimization.
26 336 0.187473307224 Henry Cohn, 2026, needs more optimization.
26 337 0.188150826931 Henry Cohn, 2026, needs more optimization.
26 338 0.188915249405 Henry Cohn, 2026, needs more optimization.
26 339 0.190039974896 Henry Cohn, 2026, needs more optimization.
26 340 0.190424498112 Henry Cohn, 2026, needs more optimization.
26 341 0.192282972353 Henry Cohn, 2026, needs more optimization.
26 342 0.192804000615 Henry Cohn, 2026, needs more optimization.
26 343 0.193405240873 Henry Cohn, 2026, needs more optimization.
26 344 0.194676433756 Henry Cohn, 2026, needs more optimization.
26 345 0.195326920825 Henry Cohn, 2026, needs more optimization.
26 346 0.196341517391 Henry Cohn, 2026, needs more optimization.
26 347 0.196486857384 Henry Cohn, 2026, needs more optimization.
26 348 0.196590804773 Henry Cohn, 2026, needs more optimization.
26 349 0.196735917256 Henry Cohn, 2026, needs more optimization.
26 350 0.196966671203 Henry Cohn, 2026, needs more optimization.
26 351 0.197048595415 Henry Cohn, 2026, needs more optimization.
26 352 0.197185805038 Henry Cohn, 2026, needs more optimization.
26 353 0.197312003103 Henry Cohn, 2026, needs more optimization.
26 354 0.197430759193 Henry Cohn, 2026, needs more optimization.
26 355 0.197452133670 Henry Cohn, 2026, needs more optimization.
26 356 0.197701622247 Henry Cohn, 2026, needs more optimization.
26 357 0.197920284540 Henry Cohn, 2026, needs more optimization.
26 358 0.197953699483 Henry Cohn, 2026, needs more optimization.
26 359 0.198079079701 Henry Cohn, 2026, needs more optimization.
26 360 0.198252529888 Henry Cohn, 2026, needs more optimization.
26 361 0.198455573259 Henry Cohn, 2026, needs more optimization.
26 362 0.198491915969 Henry Cohn, 2026, needs more optimization.
26 363 0.198547375399 Henry Cohn, 2026, needs more optimization.
26 364 0.198712434746 Henry Cohn, 2026, needs more optimization.
26 365 0.198880903691 Henry Cohn, 2026, needs more optimization.
26 366 0.198982536416 Henry Cohn, 2026, needs more optimization.
26 367 0.198991046825 Henry Cohn, 2026, needs more optimization.
26 370 0.199014163219 Henry Cohn, 2026, needs more optimization.
26 371 0.199130923578 Henry Cohn, 2026, needs more optimization.
26 372 0.199153116058 Henry Cohn, 2026, needs more optimization.
26 373 0.199257214906 Henry Cohn, 2026, needs more optimization.
26 374 0.199381229100 Henry Cohn, 2026, needs more optimization.
26 375 0.199408085859 Henry Cohn, 2026, needs more optimization.
26 376 0.199408085860 Henry Cohn, 2026, needs more optimization.
26 377 0.199434342692 Henry Cohn, 2026, needs more optimization.
26 378 0.199507146278 Henry Cohn, 2026, needs more optimization.
26 380 0.199573774857 Henry Cohn, 2026, needs more optimization.
26 381 0.199648313110 Henry Cohn, 2026, needs more optimization.
26 382 0.199724394599 Henry Cohn, 2026, needs more optimization.
26 384 0.199749333628 Henry Cohn, 2026, needs more optimization.
26 386 0.199787515799 Henry Cohn, 2026, needs more optimization.
26 388 0.199819140559 Henry Cohn, 2026, needs more optimization.
26 389 0.199903742104 Henry Cohn, 2026, needs more optimization.
26 390 0.199910956603 Henry Cohn, 2026, needs more optimization.
26 394 0.199930405165 Henry Cohn, 2026, needs more optimization.
26 400 0.199985742154 Henry Cohn, 2026, needs more optimization.
26 558 0.2 Orthogonal union of 552 points in 23 dimensions and 6 points in 3 dimensions.
5⁢x−1
26 559 0.200002610266 Henry Cohn, 2026, needs more optimization.
26 560 0.200003220962 Henry Cohn, 2026, needs more optimization.
26 566 0.200021388383 Henry Cohn, 2026, needs more optimization.
26 567 0.200023537270 Henry Cohn, 2026, needs more optimization.
26 568 0.200027197602 Henry Cohn, 2026, needs more optimization.
26 569 0.200070083319 Henry Cohn, 2026, needs more optimization.
26 570 0.200174821817 Henry Cohn, 2026, needs more optimization.
26 571 0.200659211336 Henry Cohn, 2026, needs more optimization.
26 572 0.201147538375 Henry Cohn, 2026, needs more optimization.
26 573 0.202581355409 Henry Cohn, 2026, needs more optimization.
26 574 0.202730757919 Henry Cohn, 2026, needs more optimization.
26 575 0.205135615360 Henry Cohn, 2026, needs more optimization.
26 576 0.206057032502 Henry Cohn, 2026, needs more optimization.
26 577 0.208831311066 Henry Cohn, 2026, needs more optimization.
26 578 0.210085446580 Henry Cohn, 2026, needs more optimization.
26 579 0.211555136234 Henry Cohn, 2026, needs more optimization.
26 580 0.212573140816 Henry Cohn, 2026, needs more optimization.
26 581 0.214608901937 Henry Cohn, 2026, needs more optimization.
26 582 0.216384515056 Henry Cohn, 2026, needs more optimization.
26 583 0.216982909392 Henry Cohn, 2026, needs more optimization.
26 584 0.217556832824 Henry Cohn, 2026, needs more optimization.
26 585 0.218898869922 Henry Cohn, 2026, needs more optimization.
26 586 0.219474175611 Henry Cohn, 2026, needs more optimization.
26 587 0.220744355147 Henry Cohn, 2026, needs more optimization.
26 588 0.221657092809 Henry Cohn, 2026, needs more optimization.
26 589 0.222152599328 Henry Cohn, 2026, needs more optimization.
26 590 0.222965684789 Henry Cohn, 2026, needs more optimization.
26 591 0.224083675072 Henry Cohn, 2026, needs more optimization.
26 592 0.224597259190 Henry Cohn, 2026, needs more optimization.
26 593 0.225034374823 Henry Cohn, 2026, needs more optimization.
26 594 0.225986923930 Henry Cohn, 2026, needs more optimization.
26 595 0.226333855868 Henry Cohn, 2026, needs more optimization.
26 596 0.226674833453 Henry Cohn, 2026, needs more optimization.
26 601 0.238119314025 Henry Cohn, 2026, needs more optimization.
26 602 0.238119572364 Henry Cohn, 2026, needs more optimization.
26 604 0.238123598633 Henry Cohn, 2026, needs more optimization.
26 607 0.238126115865 Henry Cohn, 2026, needs more optimization.
26 609 0.238127037932 Henry Cohn, 2026, needs more optimization.
26 611 0.238130350457 Henry Cohn, 2026, needs more optimization.
26 613 0.238135813417 Henry Cohn, 2026, needs more optimization.
26 616 0.238137659076 Henry Cohn, 2026, needs more optimization.
26 619 0.238138837484 Henry Cohn, 2026, needs more optimization.
26 620 0.238144228007 Henry Cohn, 2026, needs more optimization.
26 623 0.238156220417 Henry Cohn, 2026, needs more optimization.
26 624 0.238168661224 Henry Cohn, 2026, needs more optimization.
26 625 0.238190465213 Henry Cohn, 2026, needs more optimization.
26 627 0.238197349407 Henry Cohn, 2026, needs more optimization.
26 628 0.238227860346 Henry Cohn, 2026, needs more optimization.
26 629 0.239123503007 Henry Cohn, 2026, needs more optimization.
26 631 0.239309163284 Henry Cohn, 2026, needs more optimization.
26 632 0.240267760758 Henry Cohn, 2026, needs more optimization.
26 633 0.240885050660 Henry Cohn, 2026, needs more optimization.
26 634 0.241013128391 Henry Cohn, 2026, needs more optimization.
26 635 0.241759645357 Henry Cohn, 2026, needs more optimization.
26 638 0.242035156887 Henry Cohn, 2026, needs more optimization.
26 639 0.242975481404 Henry Cohn, 2026, needs more optimization.
26 640 0.243468466872 Henry Cohn, 2026, needs more optimization.
26 643 0.244665697623 Henry Cohn, 2026, needs more optimization.
26 644 0.245005363390 Henry Cohn, 2026, needs more optimization.
26 645 0.246145706041 Henry Cohn, 2026, needs more optimization.
26 647 0.246337012470 Henry Cohn, 2026, needs more optimization.
26 649 0.246431506075 Henry Cohn, 2026, needs more optimization.
26 650 0.246435760264 Henry Cohn, 2026, needs more optimization.
26 651 0.247114207388 Henry Cohn, 2026, needs more optimization.
26 653 0.247200061159 Henry Cohn, 2026, needs more optimization.
26 654 0.247415219131 Henry Cohn, 2026, needs more optimization.
26 656 0.247675053674 Henry Cohn, 2026, needs more optimization.
26 658 0.247821354925 Henry Cohn, 2026, needs more optimization.
26 660 0.248031015857 Henry Cohn, 2026, needs more optimization.
26 661 0.248168388347 Henry Cohn, 2026, needs more optimization.
26 662 0.248186515721 Henry Cohn, 2026, needs more optimization.
26 663 0.248221083711 Henry Cohn, 2026, needs more optimization.
26 664 0.248234281537 Henry Cohn, 2026, needs more optimization.
26 665 0.248342465278 Henry Cohn, 2026, needs more optimization.
26 666 0.248408439380 Henry Cohn, 2026, needs more optimization.
26 668 0.248435216311 Henry Cohn, 2026, needs more optimization.
26 670 0.248479045411 Henry Cohn, 2026, needs more optimization.
26 671 0.248557627700 Henry Cohn, 2026, needs more optimization.
26 672 0.248646192111 Henry Cohn, 2026, needs more optimization.
26 673 0.248680177251 Henry Cohn, 2026, needs more optimization.
26 674 0.248709724881 Henry Cohn, 2026, needs more optimization.
26 678 0.248769811634 Henry Cohn, 2026, needs more optimization.
26 679 0.248792005433 Henry Cohn, 2026, needs more optimization.
26 680 0.248846754782 Henry Cohn, 2026, needs more optimization.
26 681 0.248859513688 Henry Cohn, 2026, needs more optimization.
26 682 0.248917351028 Henry Cohn, 2026, needs more optimization.
26 683 0.248984606802 Henry Cohn, 2026, needs more optimization.
26 684 0.249110739331 Henry Cohn, 2026, needs more optimization.
26 685 0.249156697840 Henry Cohn, 2026, needs more optimization.
26 688 0.249196812420 Henry Cohn, 2026, needs more optimization.
26 689 0.249255343165 Henry Cohn, 2026, needs more optimization.
26 690 0.249276572966 Henry Cohn, 2026, needs more optimization.
26 691 0.249355504772 Henry Cohn, 2026, needs more optimization.
26 692 0.249384209697 Henry Cohn, 2026, needs more optimization.
26 693 0.249455685220 Henry Cohn, 2026, needs more optimization.
26 694 0.249460486307 Henry Cohn, 2026, needs more optimization.
26 696 0.249498636575 Henry Cohn, 2026, needs more optimization.
26 697 0.249504487204 Henry Cohn, 2026, needs more optimization.
26 698 0.249570549540 Henry Cohn, 2026, needs more optimization.
26 699 0.249606546986 Henry Cohn, 2026, needs more optimization.
26 701 0.249681902470 Henry Cohn, 2026, needs more optimization.
26 702 0.249705656757 Henry Cohn, 2026, needs more optimization.
26 703 0.249744812410 Henry Cohn, 2026, needs more optimization.
26 705 0.249770232086 Henry Cohn, 2026, needs more optimization.
26 706 0.249798469915 Henry Cohn, 2026, needs more optimization.
26 707 0.249829623489 Henry Cohn, 2026, needs more optimization.
26 709 0.249851921140 Henry Cohn, 2026, needs more optimization.
26 710 0.249863526810 Henry Cohn, 2026, needs more optimization.
26 711 0.249863526891 Henry Cohn, 2026, needs more optimization.
26 718 0.249874834483 Henry Cohn, 2026, needs more optimization.
26 719 0.249891222380 Henry Cohn, 2026, needs more optimization.
26 720 0.249913382475 Henry Cohn, 2026, needs more optimization.
26 721 0.249916171847 Henry Cohn, 2026, needs more optimization.
26 722 0.249930989458 Henry Cohn, 2026, needs more optimization.
26 723 0.249943445202 Henry Cohn, 2026, needs more optimization.
26 903 0.25 Orthogonal union of 891 points in 22 dimensions and 12 points in 4 dimensions.
4⁢x−1
26 913 0.250046355276 Henry Cohn, 2026, needs more optimization.
26 914 0.250051754907 Henry Cohn, 2026, needs more optimization.
26 915 0.250057995122 Henry Cohn, 2026, needs more optimization.
26 917 0.250060920463 Henry Cohn, 2026, needs more optimization.
26 919 0.250078002603 Henry Cohn, 2026, needs more optimization.
26 920 0.250078052920 Henry Cohn, 2026, needs more optimization.
26 921 0.250080369764 Henry Cohn, 2026, needs more optimization.
26 922 0.250083025662 Henry Cohn, 2026, needs more optimization.
26 923 0.250097698431 Henry Cohn, 2026, needs more optimization.
26 924 0.250103148778 Henry Cohn, 2026, needs more optimization.
26 927 0.250117385527 Henry Cohn, 2026, needs more optimization.
26 928 0.250119874664 Henry Cohn, 2026, needs more optimization.
26 930 0.250184364358 Henry Cohn, 2026, needs more optimization.
26 932 0.250226029270 Henry Cohn, 2026, needs more optimization.
26 933 0.250263785397 Henry Cohn, 2026, needs more optimization.
26 934 0.250272199915 Henry Cohn, 2026, needs more optimization.
26 937 0.250322958745 Henry Cohn, 2026, needs more optimization.
26 938 0.250393489286 Henry Cohn, 2026, needs more optimization.
26 939 0.250496084214 Henry Cohn, 2026, needs more optimization.
26 940 0.250605013233 Henry Cohn, 2026, needs more optimization.
26 941 0.250799994885 Henry Cohn, 2026, needs more optimization.
26 942 0.251030547989 Henry Cohn, 2026, needs more optimization.
26 943 0.251240729284 Henry Cohn, 2026, needs more optimization.
26 944 0.251479310265 Henry Cohn, 2026, needs more optimization.
26 945 0.251772338149 Henry Cohn, 2026, needs more optimization.
26 946 0.252074296408 Henry Cohn, 2026, needs more optimization.
26 947 0.252466770171 Henry Cohn, 2026, needs more optimization.
26 948 0.252650255427 Henry Cohn, 2026, needs more optimization.
26 949 0.253202228374 Henry Cohn, 2026, needs more optimization.
26 950 0.253319786648 Henry Cohn, 2026, needs more optimization.
26 951 0.253701605761 Henry Cohn, 2026, needs more optimization.
26 952 0.254213513336 Henry Cohn, 2026, needs more optimization.
26 953 0.254356696023 Henry Cohn, 2026, needs more optimization.
26 954 0.254873030810 Henry Cohn, 2026, needs more optimization.
26 955 0.255232503589 Henry Cohn, 2026, needs more optimization.
26 956 0.255732609564 Henry Cohn, 2026, needs more optimization.
26 957 0.256093700360 Henry Cohn, 2026, needs more optimization.
26 958 0.256283430197 Henry Cohn, 2026, needs more optimization.
26 959 0.256735191564 Henry Cohn, 2026, needs more optimization.
26 960 0.257219603062 Henry Cohn, 2026, needs more optimization.
26 961 0.257326412640 Henry Cohn, 2026, needs more optimization.
26 962 0.257770810692 Henry Cohn, 2026, needs more optimization.
26 963 0.258344184817 Henry Cohn, 2026, needs more optimization.
26 964 0.258692330974 Henry Cohn, 2026, needs more optimization.
26 965 0.258832687942 Henry Cohn, 2026, needs more optimization.
26 966 0.259098010531 Henry Cohn, 2026, needs more optimization.
26 967 0.259582317734 Henry Cohn, 2026, needs more optimization.
26 968 0.259725570427 Henry Cohn, 2026, needs more optimization.
26 970 0.260322509360 Henry Cohn, 2026, needs more optimization.
26 971 0.260827205692 Henry Cohn, 2026, needs more optimization.
26 972 0.261288827440 Henry Cohn, 2026, needs more optimization.
26 973 0.261471050106 Henry Cohn, 2026, needs more optimization.
26 974 0.261881256263 Henry Cohn, 2026, needs more optimization.
26 975 0.262246770401 Henry Cohn, 2026, needs more optimization.
26 976 0.262914990350 Henry Cohn, 2026, needs more optimization.
26 977 0.263380709913 Henry Cohn, 2026, needs more optimization.
26 978 0.263657981465 Henry Cohn, 2026, needs more optimization.
26 979 0.263762286769 Henry Cohn, 2026, needs more optimization.
26 980 0.263914882913 Henry Cohn, 2026, needs more optimization.
26 981 0.264669792340 Henry Cohn, 2026, needs more optimization.
26 982 0.265178532981 Henry Cohn, 2026, needs more optimization.
26 983 0.265555900341 Henry Cohn, 2026, needs more optimization.
26 984 0.265777373518 Henry Cohn, 2026, needs more optimization.
26 985 0.266089497546 Henry Cohn, 2026, needs more optimization.
26 986 0.266368449350 Henry Cohn, 2026, needs more optimization.
26 987 0.266661403709 Henry Cohn, 2026, needs more optimization.
26 988 0.266718867265 Henry Cohn, 2026, needs more optimization.
26 989 0.267025175737 Henry Cohn, 2026, needs more optimization.
26 990 0.267377411268 Henry Cohn, 2026, needs more optimization.
26 991 0.267447960753 Henry Cohn, 2026, needs more optimization.
26 992 0.267853315150 Henry Cohn, 2026, needs more optimization.
26 993 0.267857395382 Henry Cohn, 2026, needs more optimization.
26 994 0.268086433357 Henry Cohn, 2026, needs more optimization.
26 995 0.268298044906 Henry Cohn, 2026, needs more optimization.
26 996 0.268381801742 Henry Cohn, 2026, needs more optimization.
26 997 0.268717227658 Henry Cohn, 2026, needs more optimization.
26 998 0.268958784057 Henry Cohn, 2026, needs more optimization.
26 999 0.269571708847 Henry Cohn, 2026, needs more optimization.
26 1000 0.269607204359 Henry Cohn, 2026, needs more optimization.
26 1001 0.270147137537 Henry Cohn, 2026, needs more optimization.
26 1002 0.270157410462 Henry Cohn, 2026, needs more optimization.
26 1003 0.270497557584 Henry Cohn, 2026, needs more optimization.
26 1004 0.270865298109 Henry Cohn, 2026, needs more optimization.
26 1005 0.270912028836 Henry Cohn, 2026, needs more optimization.
26 1006 0.271337925838 Henry Cohn, 2026, needs more optimization.
26 1008 0.271373689251 Henry Cohn, 2026, needs more optimization.
26 1009 0.271688758341 Henry Cohn, 2026, needs more optimization.
26 1010 0.271932094139 Henry Cohn, 2026, needs more optimization.
26 1011 0.272141639107 Henry Cohn, 2026, needs more optimization.
26 1024 0.272727272728 Code with 1024 points in 22 dimensions.
11⁢x−3
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 0.034511432831 Henry Cohn, 2024.
27 57 0.039953014072 Henry Cohn, 2026, needs more optimization.
27 58 0.039967260721 Henry Cohn, 2026.
27 59 0.039967796543 Henry Cohn, 2026.
27 60 0.044835683074 Henry Cohn, 2026.
27 61 0.045484192884 Henry Cohn, 2026.
27 62 0.046198040189 Henry Cohn, 2025.
27 63 0.047652441689 Henry Cohn, 2026.
27 64 0.050067815256 Henry Cohn, 2026.
27 65 0.054259436682 Henry Cohn, 2026, needs more optimization.
27 66 0.056203241518 Henry Cohn, 2026, needs more optimization.
27 67 0.058358030299 Henry Cohn, 2026, needs more optimization.
27 68 0.060150459250 Henry Cohn, 2026.
27 69 0.061646691897 Henry Cohn, 2026.
27 70 0.062922671881 Henry Cohn, 2026, needs more optimization.
27 71 0.064107549661 Henry Cohn, 2026, needs more optimization.
27 72 0.064938703542 Henry Cohn, 2026, needs more optimization.
27 73 0.065805540557 Henry Cohn, 2026, needs more optimization.
27 74 0.066308366331 Henry Cohn, 2026, needs more optimization.
27 75 0.068047317688 Henry Cohn, 2026, needs more optimization.
27 76 0.069937587917 Henry Cohn, 2026, needs more optimization.
27 77 0.072325860054 Henry Cohn, 2026, needs more optimization.
27 78 0.074624795263 Henry Cohn, 2026, needs more optimization.
27 79 0.075331327006 Henry Cohn, 2026, needs more optimization.
27 80 0.076122276896 Henry Cohn, 2026, needs more optimization.
27 81 0.076640246708 Henry Cohn, 2026, needs more optimization.
27 82 0.076893973956 Henry Cohn, 2026, needs more optimization.
27 83 0.076908998860 Henry Cohn, 2026, needs more optimization.
27 84 0.077005220886 Henry Cohn, 2026, needs more optimization.
27 85 0.077375337738 Henry Cohn, 2026, needs more optimization.
27 86 0.077584291533 Henry Cohn, 2026, needs more optimization.
27 87 0.078411385065 Henry Cohn, 2026, needs more optimization.
27 88 0.078632181564 Henry Cohn, 2026, needs more optimization.
27 89 0.079086756261 Henry Cohn, 2026, needs more optimization.
27 90 0.079690859939 Henry Cohn, 2026, needs more optimization.
27 91 0.080270744374 Henry Cohn, 2026, needs more optimization.
27 92 0.080397348706 Henry Cohn, 2026, needs more optimization.
27 93 0.080671661896 Henry Cohn, 2026, needs more optimization.
27 94 0.080682780934 Henry Cohn, 2026, needs more optimization.
27 95 0.080684833766 Henry Cohn, 2026, needs more optimization.
27 96 0.080685563687 Henry Cohn, 2026, needs more optimization.
27 97 0.080685564665 Henry Cohn, 2026, needs more optimization.
27 98 0.080685608415 Henry Cohn, 2026, needs more optimization.
27 99 0.084158666674 Henry Cohn, 2026, needs more optimization.
27 100 0.086593018470 Henry Cohn, 2026, needs more optimization.
27 101 0.088590539850 Henry Cohn, 2026, needs more optimization.
27 102 0.089494901079 Henry Cohn, 2026, needs more optimization.
27 103 0.089776459760 Henry Cohn, 2026, needs more optimization.
27 104 0.089999203474 Henry Cohn, 2026, needs more optimization.
27 105 0.090247516948 Henry Cohn, 2026, needs more optimization.
27 106 0.090283952777 Henry Cohn, 2026, needs more optimization.
27 107 0.090522581532 Henry Cohn, 2026, needs more optimization.
27 108 0.090586419301 Henry Cohn, 2026, needs more optimization.
27 110 0.090642434465 Henry Cohn, 2026, needs more optimization.
27 111 0.090819524946 Henry Cohn, 2026, needs more optimization.
27 112 0.090862857273 Henry Cohn, 2026, needs more optimization.
27 113 0.090892295771 Henry Cohn, 2026, needs more optimization.
27 114 0.091267469033 Henry Cohn, 2026, needs more optimization.
27 115 0.092925161070 Henry Cohn, 2026, needs more optimization.
27 116 0.095589786752 Henry Cohn, 2026, needs more optimization.
27 117 0.098608853019 Henry Cohn, 2026, needs more optimization.
27 118 0.101112763171 Henry Cohn, 2026, needs more optimization.
27 119 0.102972750465 Henry Cohn, 2026, needs more optimization.
27 120 0.103038125871 Henry Cohn, 2026, needs more optimization.
27 121 0.103104869255 Henry Cohn, 2026, needs more optimization.
27 122 0.103124108082 Henry Cohn, 2026, needs more optimization.
27 125 0.103125332576 Henry Cohn, 2026, needs more optimization.
27 126 0.104331018557 Henry Cohn, 2026, needs more optimization.
27 127 0.105170975896 Henry Cohn, 2026, needs more optimization.
27 128 0.106090876574 Henry Cohn, 2026, needs more optimization.
27 129 0.107240542378 Henry Cohn, 2026, needs more optimization.
27 130 0.107692412614 Henry Cohn, 2026, needs more optimization.
27 131 0.108500251023 Henry Cohn, 2026, needs more optimization.
27 132 0.109607612802 Henry Cohn, 2026, needs more optimization.
27 133 0.110569181332 Henry Cohn, 2026, needs more optimization.
27 134 0.111032239514 Henry Cohn, 2026, needs more optimization.
27 135 0.111034763676 Henry Cohn, 2026, needs more optimization.
27 136 0.111458874203 Henry Cohn, 2026, needs more optimization.
27 137 0.113045353959 Henry Cohn, 2026, needs more optimization.
27 138 0.114536612913 Henry Cohn, 2026, needs more optimization.
27 139 0.114844701790 Henry Cohn, 2026, needs more optimization.
27 140 0.115322232790 Henry Cohn, 2026, needs more optimization.
27 141 0.116318025737 Henry Cohn, 2026, needs more optimization.
27 142 0.117570334658 Henry Cohn, 2026, needs more optimization.
27 143 0.119200244024 Henry Cohn, 2026, needs more optimization.
27 144 0.121001771723 Henry Cohn, 2026, needs more optimization.
27 145 0.123136128144 Henry Cohn, 2026, needs more optimization.
27 146 0.125388443986 Henry Cohn, 2026, needs more optimization.
27 147 0.127237443095 Henry Cohn, 2026, needs more optimization.
27 148 0.128602634443 Henry Cohn, 2026, needs more optimization.
27 149 0.130076514457 Henry Cohn, 2026, needs more optimization.
27 150 0.131302811171 Henry Cohn, 2026, needs more optimization.
27 151 0.131430478865 Henry Cohn, 2026, needs more optimization.
27 152 0.131650370619 Henry Cohn, 2026, needs more optimization.
27 153 0.131793045585 Henry Cohn, 2026, needs more optimization.
27 154 0.132034946813 Henry Cohn, 2026, needs more optimization.
27 155 0.132283119146 Henry Cohn, 2026, needs more optimization.
27 156 0.132623992807 Henry Cohn, 2026, needs more optimization.
27 157 0.132755235677 Henry Cohn, 2026, needs more optimization.
27 158 0.132835642719 Henry Cohn, 2026, needs more optimization.
27 159 0.133255435471 Henry Cohn, 2026, needs more optimization.
27 160 0.133281570174 Henry Cohn, 2026, needs more optimization.
27 161 0.133306799368 Henry Cohn, 2026, needs more optimization.
27 162 0.133328342251 Henry Cohn, 2026, needs more optimization.
27 163 0.133332000987 Henry Cohn, 2026, needs more optimization.
27 164 0.133500761749 Henry Cohn, 2026, needs more optimization.
27 165 0.135089912855 Henry Cohn, 2026, needs more optimization.
27 166 0.135090536426 Henry Cohn, 2026, needs more optimization.
27 167 0.135116224960 Henry Cohn, 2026, needs more optimization.
27 168 0.135132255931 Henry Cohn, 2026, needs more optimization.
27 169 0.135297578910 Henry Cohn, 2026, needs more optimization.
27 170 0.135944002626 Henry Cohn, 2026, needs more optimization.
27 171 0.136384005418 Henry Cohn, 2026, needs more optimization.
27 172 0.137281177774 Henry Cohn, 2026, needs more optimization.
27 173 0.138904481187 Henry Cohn, 2026, needs more optimization.
27 174 0.139555738541 Henry Cohn, 2026, needs more optimization.
27 175 0.140952152383 Henry Cohn, 2026, needs more optimization.
27 176 0.142309147172 Henry Cohn, 2026, needs more optimization.
27 177 0.142309956098 Henry Cohn, 2026, needs more optimization.
27 178 0.142474109097 Henry Cohn, 2026, needs more optimization.
27 179 0.142476127975 Henry Cohn, 2026, needs more optimization.
27 180 0.142532282560 Henry Cohn, 2026, needs more optimization.
27 181 0.142570381986 Henry Cohn, 2026, needs more optimization.
27 182 0.142586895933 Henry Cohn, 2026, needs more optimization.
27 183 0.142588294396 Henry Cohn, 2026, needs more optimization.
27 184 0.142714277003 Henry Cohn, 2026, needs more optimization.
27 185 0.142730512815 Henry Cohn, 2026, needs more optimization.
27 186 0.142768733785 Henry Cohn, 2026, needs more optimization.
27 187 0.142770516272 Henry Cohn, 2026, needs more optimization.
27 188 0.142798835895 Henry Cohn, 2026, needs more optimization.
27 189 0.142799520760 Henry Cohn, 2026, needs more optimization.
27 190 0.142799700380 Henry Cohn, 2026, needs more optimization.
27 191 0.142841582033 Henry Cohn, 2026, needs more optimization.
27 192 0.142974716721 Henry Cohn, 2026, needs more optimization.
27 193 0.142979721026 Henry Cohn, 2026, needs more optimization.
27 194 0.143908234799 Henry Cohn, 2026, needs more optimization.
27 195 0.144426448550 Henry Cohn, 2026, needs more optimization.
27 196 0.146036588993 Henry Cohn, 2026, needs more optimization.
27 197 0.146650328930 Henry Cohn, 2026, needs more optimization.
27 198 0.147562525494 Henry Cohn, 2026, needs more optimization.
27 199 0.148383316559 Henry Cohn, 2026, needs more optimization.
27 200 0.148964106503 Henry Cohn, 2026, needs more optimization.
27 201 0.149750034624 Henry Cohn, 2026, needs more optimization.
27 202 0.150174607663 Henry Cohn, 2026, needs more optimization.
27 203 0.150195051718 Henry Cohn, 2026, needs more optimization.
27 204 0.150708753832 Henry Cohn, 2026, needs more optimization.
27 205 0.151117883844 Henry Cohn, 2026, needs more optimization.
27 206 0.151769165404 Henry Cohn, 2026, needs more optimization.
27 207 0.152472404758 Henry Cohn, 2026, needs more optimization.
27 208 0.152875749216 Henry Cohn, 2026, needs more optimization.
27 209 0.153752530841 Henry Cohn, 2026, needs more optimization.
27 210 0.153793955968 Henry Cohn, 2026, needs more optimization.
27 211 0.154122104609 Henry Cohn, 2026, needs more optimization.
27 212 0.154642816133 Henry Cohn, 2026, needs more optimization.
27 213 0.155137352042 Henry Cohn, 2026, needs more optimization.
27 214 0.155538191389 Henry Cohn, 2026, needs more optimization.
27 215 0.156012321109 Henry Cohn, 2026, needs more optimization.
27 216 0.156495290102 Henry Cohn, 2026, needs more optimization.
27 217 0.157390616520 Henry Cohn, 2026, needs more optimization.
27 218 0.157711402473 Henry Cohn, 2026, needs more optimization.
27 219 0.158412747765 Henry Cohn, 2026, needs more optimization.
27 220 0.159042133536 Henry Cohn, 2026, needs more optimization.
27 221 0.159596677950 Henry Cohn, 2026, needs more optimization.
27 222 0.160080978681 Henry Cohn, 2026, needs more optimization.
27 223 0.160489511134 Henry Cohn, 2026, needs more optimization.
27 224 0.160895812500 Henry Cohn, 2026, needs more optimization.
27 225 0.161224645118 Henry Cohn, 2026, needs more optimization.
27 226 0.161607670847 Henry Cohn, 2026, needs more optimization.
27 227 0.161608579956 Henry Cohn, 2026, needs more optimization.
27 228 0.161656359086 Henry Cohn, 2026, needs more optimization.
27 229 0.161667736918 Henry Cohn, 2026, needs more optimization.
27 230 0.161669024813 Henry Cohn, 2026, needs more optimization.
27 231 0.161746397654 Henry Cohn, 2026, needs more optimization.
27 232 0.161772544931 Henry Cohn, 2026, needs more optimization.
27 233 0.161824747618 Henry Cohn, 2026, needs more optimization.
27 234 0.161826924793 Henry Cohn, 2026, needs more optimization.
27 235 0.161841446480 Henry Cohn, 2026, needs more optimization.
27 236 0.161893856912 Henry Cohn, 2026, needs more optimization.
27 237 0.161916330715 Henry Cohn, 2026, needs more optimization.
27 238 0.161919075089 Henry Cohn, 2026, needs more optimization.
27 239 0.161923816538 Henry Cohn, 2026, needs more optimization.
27 240 0.161924056771 Henry Cohn, 2026, needs more optimization.
27 241 0.161924531781 Henry Cohn, 2026, needs more optimization.
27 242 0.161948353120 Henry Cohn, 2026, needs more optimization.
27 243 0.161978670832 Henry Cohn, 2026, needs more optimization.
27 244 0.162278570575 Henry Cohn, 2026, needs more optimization.
27 245 0.162339653199 Henry Cohn, 2026, needs more optimization.
27 246 0.162563474812 Henry Cohn, 2026, needs more optimization.
27 247 0.162692974382 Henry Cohn, 2026, needs more optimization.
27 248 0.162750230017 Henry Cohn, 2026, needs more optimization.
27 249 0.162914969667 Henry Cohn, 2026, needs more optimization.
27 250 0.163025639816 Henry Cohn, 2026, needs more optimization.
27 251 0.163661705845 Henry Cohn, 2026, needs more optimization.
27 252 0.163925688600 Henry Cohn, 2026, needs more optimization.
27 253 0.164156838235 Henry Cohn, 2026, needs more optimization.
27 254 0.164224641679 Henry Cohn, 2026, needs more optimization.
27 255 0.164518391438 Henry Cohn, 2026, needs more optimization.
27 256 0.164657297165 Henry Cohn, 2026, needs more optimization.
27 257 0.164869871203 Henry Cohn, 2026, needs more optimization.
27 258 0.165053345714 Henry Cohn, 2026, needs more optimization.
27 259 0.165171393578 Henry Cohn, 2026, needs more optimization.
27 260 0.165313373298 Henry Cohn, 2026, needs more optimization.
27 261 0.165465918804 Henry Cohn, 2026, needs more optimization.
27 262 0.165560753152 Henry Cohn, 2026, needs more optimization.
27 263 0.165651324191 Henry Cohn, 2026, needs more optimization.
27 264 0.165836995125 Henry Cohn, 2026, needs more optimization.
27 265 0.165876140697 Henry Cohn, 2026, needs more optimization.
27 266 0.165910209835 Henry Cohn, 2026, needs more optimization.
27 267 0.165986909009 Henry Cohn, 2026, needs more optimization.
27 268 0.166025820658 Henry Cohn, 2026, needs more optimization.
27 269 0.166133982940 Henry Cohn, 2026, needs more optimization.
27 270 0.166224114959 Henry Cohn, 2026, needs more optimization.
27 271 0.166336205284 Henry Cohn, 2026, needs more optimization.
27 272 0.166403932184 Henry Cohn, 2026, needs more optimization.
27 273 0.166452729897 Henry Cohn, 2026, needs more optimization.
27 274 0.166499471063 Henry Cohn, 2026, needs more optimization.
27 275 0.166527316981 Henry Cohn, 2026, needs more optimization.
27 276 0.166579181806 Henry Cohn, 2026, needs more optimization.
27 277 0.166594615741 Henry Cohn, 2026, needs more optimization.
27 278 0.166606024704 Henry Cohn, 2026, needs more optimization.
27 279 0.166628191278 Henry Cohn, 2026, needs more optimization.
27 280 0.166646977009 Henry Cohn, 2026, needs more optimization.
27 281 0.166651233901 Henry Cohn, 2026, needs more optimization.
27 288 0.166666666667 Orthogonal union of 278 points in 23 dimensions and 10 points in 4 dimensions.
6⁢x−1
27 289 0.166666872444 Orthogonal union of 287 points in 26 dimensions and 2 points in 1 dimension.
27 290 0.166671581026 Henry Cohn, 2026, needs more optimization.
27 291 0.166671645960 Henry Cohn, 2026, needs more optimization.
27 292 0.166671724368 Henry Cohn, 2026, needs more optimization.
27 293 0.166671776418 Henry Cohn, 2026, needs more optimization.
27 294 0.166671834608 Henry Cohn, 2026, needs more optimization.
27 295 0.166671888896 Henry Cohn, 2026, needs more optimization.
27 296 0.166671936751 Henry Cohn, 2026, needs more optimization.
27 297 0.166671983333 Henry Cohn, 2026, needs more optimization.
27 298 0.166672031331 Henry Cohn, 2026, needs more optimization.
27 299 0.166672108598 Henry Cohn, 2026, needs more optimization.
27 300 0.166672180870 Henry Cohn, 2026, needs more optimization.
27 301 0.166672305128 Henry Cohn, 2026, needs more optimization.
27 302 0.166673514417 Henry Cohn, 2026, needs more optimization.
27 303 0.166676046949 Henry Cohn, 2026, needs more optimization.
27 304 0.166713669531 Henry Cohn, 2026, needs more optimization.
27 305 0.166797235292 Henry Cohn, 2026, needs more optimization.
27 306 0.167138251409 Henry Cohn, 2026, needs more optimization.
27 307 0.167363238297 Henry Cohn, 2026, needs more optimization.
27 308 0.168360200473 Henry Cohn, 2026, needs more optimization.
27 309 0.169465366452 Henry Cohn, 2026, needs more optimization.
27 310 0.170515347907 Henry Cohn, 2026, needs more optimization.
27 311 0.171736376583 Henry Cohn, 2026, needs more optimization.
27 312 0.172919078246 Henry Cohn, 2026, needs more optimization.
27 313 0.174026977413 Henry Cohn, 2026, needs more optimization.
27 314 0.174860955411 Henry Cohn, 2026, needs more optimization.
27 315 0.176153998816 Henry Cohn, 2026, needs more optimization.
27 316 0.177507191258 Henry Cohn, 2026, needs more optimization.
27 317 0.178314333715 Henry Cohn, 2026, needs more optimization.
27 318 0.179152582190 Henry Cohn, 2026, needs more optimization.
27 319 0.180006187279 Henry Cohn, 2026, needs more optimization.
27 320 0.180886153199 Henry Cohn, 2026, needs more optimization.
27 321 0.181107347607 Henry Cohn, 2026, needs more optimization.
27 322 0.181291501238 Henry Cohn, 2026, needs more optimization.
27 323 0.181311115103 Henry Cohn, 2026, needs more optimization.
27 324 0.181371387062 Henry Cohn, 2026, needs more optimization.
27 325 0.181494131322 Henry Cohn, 2026, needs more optimization.
27 326 0.181593931187 Henry Cohn, 2026, needs more optimization.
27 327 0.181626610723 Henry Cohn, 2026, needs more optimization.
27 328 0.181628776709 Henry Cohn, 2026, needs more optimization.
27 329 0.181749871125 Henry Cohn, 2026, needs more optimization.
27 330 0.181772506390 Henry Cohn, 2026, needs more optimization.
27 331 0.181784349658 Henry Cohn, 2026, needs more optimization.
27 332 0.181807929611 Henry Cohn, 2026, needs more optimization.
27 333 0.181829372540 Henry Cohn, 2026, needs more optimization.
27 334 0.181833526476 Henry Cohn, 2026, needs more optimization.
27 335 0.181833745175 Henry Cohn, 2026, needs more optimization.
27 336 0.181842074308 Henry Cohn, 2026, needs more optimization.
27 337 0.181860392731 Henry Cohn, 2026, needs more optimization.
27 338 0.181916632233 Henry Cohn, 2026, needs more optimization.
27 339 0.182093263658 Henry Cohn, 2026, needs more optimization.
27 340 0.182597522000 Henry Cohn, 2026, needs more optimization.
27 341 0.183018111147 Henry Cohn, 2026, needs more optimization.
27 342 0.183746829568 Henry Cohn, 2026, needs more optimization.
27 343 0.184225798312 Henry Cohn, 2026, needs more optimization.
27 344 0.184895406042 Henry Cohn, 2026, needs more optimization.
27 345 0.185621231194 Henry Cohn, 2026, needs more optimization.
27 346 0.186483273233 Henry Cohn, 2026, needs more optimization.
27 347 0.186755547985 Henry Cohn, 2026, needs more optimization.
27 348 0.187577626097 Henry Cohn, 2026, needs more optimization.
27 349 0.188179459897 Henry Cohn, 2026, needs more optimization.
27 350 0.188720862759 Henry Cohn, 2026, needs more optimization.
27 351 0.189489787211 Henry Cohn, 2026, needs more optimization.
27 352 0.190372534774 Henry Cohn, 2026, needs more optimization.
27 353 0.191147028694 Henry Cohn, 2026, needs more optimization.
27 354 0.191924560830 Henry Cohn, 2026, needs more optimization.
27 355 0.192759796510 Henry Cohn, 2026, needs more optimization.
27 356 0.193520269232 Henry Cohn, 2026, needs more optimization.
27 357 0.193907748458 Henry Cohn, 2026, needs more optimization.
27 358 0.193998478140 Henry Cohn, 2026, needs more optimization.
27 359 0.194107460499 Henry Cohn, 2026, needs more optimization.
27 360 0.194639483026 Henry Cohn, 2026, needs more optimization.
27 361 0.196338257006 Henry Cohn, 2026, needs more optimization.
27 362 0.196778040663 Henry Cohn, 2026, needs more optimization.
27 363 0.197299159675 Henry Cohn, 2026, needs more optimization.
27 376 0.197649477641 Henry Cohn, 2026, needs more optimization.
27 377 0.197774571903 Henry Cohn, 2026, needs more optimization.
27 378 0.197819004233 Henry Cohn, 2026, needs more optimization.
27 379 0.197956221814 Henry Cohn, 2026, needs more optimization.
27 381 0.198019468860 Henry Cohn, 2026, needs more optimization.
27 382 0.198088951730 Henry Cohn, 2026, needs more optimization.
27 383 0.198188582128 Henry Cohn, 2026, needs more optimization.
27 384 0.198247952866 Henry Cohn, 2026, needs more optimization.
27 385 0.198373639689 Henry Cohn, 2026, needs more optimization.
27 386 0.198453831011 Henry Cohn, 2026, needs more optimization.
27 388 0.198658270488 Henry Cohn, 2026, needs more optimization.
27 389 0.198794340465 Henry Cohn, 2026, needs more optimization.
27 390 0.198886514152 Henry Cohn, 2026, needs more optimization.
27 391 0.198919032382 Henry Cohn, 2026, needs more optimization.
27 392 0.199117268299 Henry Cohn, 2026, needs more optimization.
27 394 0.199251359946 Henry Cohn, 2026, needs more optimization.
27 396 0.199260118134 Henry Cohn, 2026, needs more optimization.
27 397 0.199280935457 Henry Cohn, 2026, needs more optimization.
27 398 0.199292211765 Henry Cohn, 2026, needs more optimization.
27 400 0.199450227192 Henry Cohn, 2026, needs more optimization.
27 401 0.199487173350 Henry Cohn, 2026, needs more optimization.
27 402 0.199569955585 Henry Cohn, 2026, needs more optimization.
27 403 0.199570076985 Henry Cohn, 2026, needs more optimization.
27 405 0.199574652271 Henry Cohn, 2026, needs more optimization.
27 406 0.199619822963 Henry Cohn, 2026, needs more optimization.
27 407 0.199732863872 Henry Cohn, 2026, needs more optimization.
27 409 0.199832911687 Henry Cohn, 2026, needs more optimization.
27 410 0.199866679505 Henry Cohn, 2026, needs more optimization.
27 411 0.199875571530 Henry Cohn, 2026, needs more optimization.
27 413 0.199879705936 Henry Cohn, 2026, needs more optimization.
27 414 0.199921790959 Henry Cohn, 2026, needs more optimization.
27 417 0.199930259058 Henry Cohn, 2026, needs more optimization.
27 418 0.199957575082 Henry Cohn, 2026, needs more optimization.
27 420 0.199973868119 Henry Cohn, 2026, needs more optimization.
27 423 0.199977121868 Henry Cohn, 2026, needs more optimization.
27 424 0.199992353685 Henry Cohn, 2026, needs more optimization.
27 425 0.199997296928 Henry Cohn, 2026, needs more optimization.
27 562 0.2 Orthogonal union of 552 points in 23 dimensions and 10 points in 4 dimensions.
5⁢x−1
27 568 0.200002867547 Henry Cohn, 2026, needs more optimization.
27 569 0.200002987991 Henry Cohn, 2026, needs more optimization.
27 570 0.200004383352 Henry Cohn, 2026, needs more optimization.
27 573 0.200028869829 Henry Cohn, 2026, needs more optimization.
27 574 0.200038369834 Henry Cohn, 2026, needs more optimization.
27 575 0.200041443035 Henry Cohn, 2026, needs more optimization.
27 576 0.200107012862 Henry Cohn, 2026, needs more optimization.
27 577 0.200140827579 Henry Cohn, 2026, needs more optimization.
27 578 0.200191194346 Henry Cohn, 2026, needs more optimization.
27 579 0.200236500323 Henry Cohn, 2026, needs more optimization.
27 580 0.200296952238 Henry Cohn, 2026, needs more optimization.
27 581 0.200442428402 Henry Cohn, 2026, needs more optimization.
27 582 0.201062339398 Henry Cohn, 2026, needs more optimization.
27 583 0.201533376251 Henry Cohn, 2026, needs more optimization.
27 584 0.202640446627 Henry Cohn, 2026, needs more optimization.
27 585 0.203253101179 Henry Cohn, 2026, needs more optimization.
27 586 0.204263687727 Henry Cohn, 2026, needs more optimization.
27 587 0.205785750876 Henry Cohn, 2026, needs more optimization.
27 588 0.206995692667 Henry Cohn, 2026, needs more optimization.
27 589 0.207801692061 Henry Cohn, 2026, needs more optimization.
27 590 0.209154516866 Henry Cohn, 2026, needs more optimization.
27 591 0.210324474897 Henry Cohn, 2026, needs more optimization.
27 592 0.210955010030 Henry Cohn, 2026, needs more optimization.
27 593 0.212097439174 Henry Cohn, 2026, needs more optimization.
27 594 0.212416647917 Henry Cohn, 2026, needs more optimization.
27 595 0.213529893641 Henry Cohn, 2026, needs more optimization.
27 596 0.214027111948 Henry Cohn, 2026, needs more optimization.
27 597 0.214545766907 Henry Cohn, 2026, needs more optimization.
27 598 0.215159202429 Henry Cohn, 2026, needs more optimization.
27 600 0.238111089819 Henry Cohn, 2026, needs more optimization.
27 601 0.238114599246 Henry Cohn, 2026, needs more optimization.
27 607 0.238115339524 Henry Cohn, 2026, needs more optimization.
27 614 0.238116361357 Henry Cohn, 2026, needs more optimization.
27 618 0.238118507723 Henry Cohn, 2026, needs more optimization.
27 625 0.238119081077 Henry Cohn, 2026, needs more optimization.
27 627 0.238127239233 Henry Cohn, 2026, needs more optimization.
27 629 0.238135631914 Henry Cohn, 2026, needs more optimization.
27 630 0.238138551384 Henry Cohn, 2026, needs more optimization.
27 632 0.238152003062 Henry Cohn, 2026, needs more optimization.
27 633 0.238154348249 Henry Cohn, 2026, needs more optimization.
27 639 0.238197995756 Henry Cohn, 2026, needs more optimization.
27 640 0.238205326179 Henry Cohn, 2026, needs more optimization.
27 644 0.238412506854 Henry Cohn, 2026, needs more optimization.
27 648 0.238452834518 Henry Cohn, 2026, needs more optimization.
27 649 0.238753321485 Henry Cohn, 2026, needs more optimization.
27 650 0.238755333835 Henry Cohn, 2026, needs more optimization.
27 651 0.238891710343 Henry Cohn, 2026, needs more optimization.
27 652 0.239049067591 Henry Cohn, 2026, needs more optimization.
27 653 0.239315504997 Henry Cohn, 2026, needs more optimization.
27 656 0.239388662778 Henry Cohn, 2026, needs more optimization.
27 657 0.239609020061 Henry Cohn, 2026, needs more optimization.
27 659 0.239779844172 Henry Cohn, 2026, needs more optimization.
27 660 0.240653868205 Henry Cohn, 2026, needs more optimization.
27 661 0.240706086103 Henry Cohn, 2026, needs more optimization.
27 662 0.240778477494 Henry Cohn, 2026, needs more optimization.
27 663 0.240900186406 Henry Cohn, 2026, needs more optimization.
27 664 0.241411959125 Henry Cohn, 2026, needs more optimization.
27 667 0.241507946668 Henry Cohn, 2026, needs more optimization.
27 670 0.241794770508 Henry Cohn, 2026, needs more optimization.
27 671 0.242615328764 Henry Cohn, 2026, needs more optimization.
27 673 0.243118135589 Henry Cohn, 2026, needs more optimization.
27 674 0.243321988592 Henry Cohn, 2026, needs more optimization.
27 678 0.243450100612 Henry Cohn, 2026, needs more optimization.
27 680 0.243815453176 Henry Cohn, 2026, needs more optimization.
27 681 0.244785025335 Henry Cohn, 2026, needs more optimization.
27 684 0.245133345263 Henry Cohn, 2026, needs more optimization.
27 685 0.245390265850 Henry Cohn, 2026, needs more optimization.
27 686 0.245423430751 Henry Cohn, 2026, needs more optimization.
27 687 0.245565930325 Henry Cohn, 2026, needs more optimization.
27 688 0.245630716923 Henry Cohn, 2026, needs more optimization.
27 689 0.245848929971 Henry Cohn, 2026, needs more optimization.
27 690 0.245946477547 Henry Cohn, 2026, needs more optimization.
27 691 0.245971827512 Henry Cohn, 2026, needs more optimization.
27 693 0.246222962480 Henry Cohn, 2026, needs more optimization.
27 695 0.246314611168 Henry Cohn, 2026, needs more optimization.
27 699 0.246399941799 Henry Cohn, 2026, needs more optimization.
27 700 0.246557369408 Henry Cohn, 2026, needs more optimization.
27 701 0.246701635475 Henry Cohn, 2026, needs more optimization.
27 702 0.246769681324 Henry Cohn, 2026, needs more optimization.
27 703 0.246967655327 Henry Cohn, 2026, needs more optimization.
27 704 0.246975421001 Henry Cohn, 2026, needs more optimization.
27 705 0.247030938328 Henry Cohn, 2026, needs more optimization.
27 706 0.247162168243 Henry Cohn, 2026, needs more optimization.
27 707 0.247240991713 Henry Cohn, 2026, needs more optimization.
27 708 0.247440302166 Henry Cohn, 2026, needs more optimization.
27 709 0.247519981064 Henry Cohn, 2026, needs more optimization.
27 710 0.247657365772 Henry Cohn, 2026, needs more optimization.
27 711 0.247814805863 Henry Cohn, 2026, needs more optimization.
27 712 0.247907090851 Henry Cohn, 2026, needs more optimization.
27 713 0.247968932642 Henry Cohn, 2026, needs more optimization.
27 714 0.248005267620 Henry Cohn, 2026, needs more optimization.
27 715 0.248071803279 Henry Cohn, 2026, needs more optimization.
27 716 0.248205830366 Henry Cohn, 2026, needs more optimization.
27 717 0.248231104093 Henry Cohn, 2026, needs more optimization.
27 718 0.248280702487 Henry Cohn, 2026, needs more optimization.
27 719 0.248312388408 Henry Cohn, 2026, needs more optimization.
27 720 0.248352113381 Henry Cohn, 2026, needs more optimization.
27 721 0.248419454935 Henry Cohn, 2026, needs more optimization.
27 723 0.248495364283 Henry Cohn, 2026, needs more optimization.
27 724 0.248557059689 Henry Cohn, 2026, needs more optimization.
27 726 0.248655140360 Henry Cohn, 2026, needs more optimization.
27 727 0.248695596136 Henry Cohn, 2026, needs more optimization.
27 728 0.248757908339 Henry Cohn, 2026, needs more optimization.
27 729 0.248777367856 Henry Cohn, 2026, needs more optimization.
27 730 0.248833549345 Henry Cohn, 2026, needs more optimization.
27 731 0.248932999051 Henry Cohn, 2026, needs more optimization.
27 732 0.248968075799 Henry Cohn, 2026, needs more optimization.
27 733 0.248999839418 Henry Cohn, 2026, needs more optimization.
27 734 0.249069242998 Henry Cohn, 2026, needs more optimization.
27 735 0.249142031491 Henry Cohn, 2026, needs more optimization.
27 736 0.249181308304 Henry Cohn, 2026, needs more optimization.
27 737 0.249228504816 Henry Cohn, 2026, needs more optimization.
27 738 0.249287362704 Henry Cohn, 2026, needs more optimization.
27 739 0.249312972045 Henry Cohn, 2026, needs more optimization.
27 740 0.249382094805 Henry Cohn, 2026, needs more optimization.
27 741 0.249413942000 Henry Cohn, 2026, needs more optimization.
27 742 0.249458219397 Henry Cohn, 2026, needs more optimization.
27 743 0.249499151202 Henry Cohn, 2026, needs more optimization.
27 744 0.249539886346 Henry Cohn, 2026, needs more optimization.
27 745 0.249541911286 Henry Cohn, 2026, needs more optimization.
27 746 0.249558336545 Henry Cohn, 2026, needs more optimization.
27 747 0.249598489483 Henry Cohn, 2026, needs more optimization.
27 748 0.249626152322 Henry Cohn, 2026, needs more optimization.
27 750 0.249637487843 Henry Cohn, 2026, needs more optimization.
27 751 0.249682755068 Henry Cohn, 2026, needs more optimization.
27 754 0.249719647291 Henry Cohn, 2026, needs more optimization.
27 755 0.249773562026 Henry Cohn, 2026, needs more optimization.
27 756 0.249779280693 Henry Cohn, 2026, needs more optimization.
27 757 0.249783499197 Henry Cohn, 2026, needs more optimization.
27 758 0.249833063139 Henry Cohn, 2026, needs more optimization.
27 760 0.249842032340 Henry Cohn, 2026, needs more optimization.
27 761 0.249848739617 Henry Cohn, 2026, needs more optimization.
27 763 0.249876970781 Henry Cohn, 2026, needs more optimization.
27 764 0.249910029735 Henry Cohn, 2026, needs more optimization.
27 907 0.25 Orthogonal union of 891 points in 22 dimensions and 16 points in 5 dimensions.
4⁢x−1
27 908 0.250004158573 Henry Cohn, 2026, needs more optimization.
27 909 0.250009240338 Henry Cohn, 2026, needs more optimization.
27 911 0.250013201690 Henry Cohn, 2026, needs more optimization.
27 912 0.250020478108 Henry Cohn, 2026, needs more optimization.
27 913 0.250026574894 Henry Cohn, 2026, needs more optimization.
27 915 0.250032126124 Henry Cohn, 2026, needs more optimization.
27 918 0.250032588316 Henry Cohn, 2026, needs more optimization.
27 919 0.250041259520 Henry Cohn, 2026, needs more optimization.
27 920 0.250043204872 Henry Cohn, 2026, needs more optimization.
27 922 0.250044481441 Henry Cohn, 2026, needs more optimization.
27 925 0.250047149148 Henry Cohn, 2026, needs more optimization.
27 926 0.250049058519 Henry Cohn, 2026, needs more optimization.
27 927 0.250055521079 Henry Cohn, 2026, needs more optimization.
27 928 0.250057106872 Henry Cohn, 2026, needs more optimization.
27 930 0.250058730360 Henry Cohn, 2026, needs more optimization.
27 933 0.250062275514 Henry Cohn, 2026, needs more optimization.
27 935 0.250062986328 Henry Cohn, 2026, needs more optimization.
27 936 0.250068354014 Henry Cohn, 2026, needs more optimization.
27 941 0.250156314708 Henry Cohn, 2026, needs more optimization.
27 944 0.250206005760 Henry Cohn, 2026, needs more optimization.
27 945 0.250322672944 Henry Cohn, 2026, needs more optimization.
27 946 0.250452095039 Henry Cohn, 2026, needs more optimization.
27 947 0.250552219671 Henry Cohn, 2026, needs more optimization.
27 949 0.250631395889 Henry Cohn, 2026, needs more optimization.
27 952 0.250669019195 Henry Cohn, 2026, needs more optimization.
27 955 0.250724199907 Henry Cohn, 2026, needs more optimization.
27 956 0.250806662935 Henry Cohn, 2026, needs more optimization.
27 957 0.250928650529 Henry Cohn, 2026, needs more optimization.
27 960 0.250969863612 Henry Cohn, 2026, needs more optimization.
27 961 0.251198979058 Henry Cohn, 2026, needs more optimization.
27 963 0.251305066145 Henry Cohn, 2026, needs more optimization.
27 965 0.251357330913 Henry Cohn, 2026, needs more optimization.
27 966 0.251695753072 Henry Cohn, 2026, needs more optimization.
27 967 0.251729118965 Henry Cohn, 2026, needs more optimization.
27 968 0.252083940667 Henry Cohn, 2026, needs more optimization.
27 969 0.252216683078 Henry Cohn, 2026, needs more optimization.
27 970 0.252568449567 Henry Cohn, 2026, needs more optimization.
27 971 0.252749212412 Henry Cohn, 2026, needs more optimization.
27 972 0.253022587480 Henry Cohn, 2026, needs more optimization.
27 973 0.253125993126 Henry Cohn, 2026, needs more optimization.
27 975 0.253532364844 Henry Cohn, 2026, needs more optimization.
27 976 0.253766938203 Henry Cohn, 2026, needs more optimization.
27 977 0.254557494152 Henry Cohn, 2026, needs more optimization.
27 978 0.254639278826 Henry Cohn, 2026, needs more optimization.
27 979 0.254916888642 Henry Cohn, 2026, needs more optimization.
27 980 0.255165819398 Henry Cohn, 2026, needs more optimization.
27 981 0.255370496579 Henry Cohn, 2026, needs more optimization.
27 982 0.256003906552 Henry Cohn, 2026, needs more optimization.
27 983 0.256172928826 Henry Cohn, 2026, needs more optimization.
27 984 0.256215905287 Henry Cohn, 2026, needs more optimization.
27 985 0.257741588652 Henry Cohn, 2026, needs more optimization.
27 987 0.257939255312 Henry Cohn, 2026, needs more optimization.
27 988 0.258747919844 Henry Cohn, 2026, needs more optimization.
27 990 0.258904354996 Henry Cohn, 2026, needs more optimization.
27 991 0.259650512757 Henry Cohn, 2026, needs more optimization.
27 992 0.260032253064 Henry Cohn, 2026, needs more optimization.
27 993 0.260612299391 Henry Cohn, 2026, needs more optimization.
27 994 0.260820516752 Henry Cohn, 2026, needs more optimization.
27 995 0.261032392440 Henry Cohn, 2026, needs more optimization.
27 996 0.261266059070 Henry Cohn, 2026, needs more optimization.
27 997 0.261307411613 Henry Cohn, 2026, needs more optimization.
27 1000 0.261382745267 Henry Cohn, 2026, needs more optimization.
27 1001 0.262658932989 Henry Cohn, 2026, needs more optimization.
27 1002 0.263220847264 Henry Cohn, 2026, needs more optimization.
27 1003 0.263344625046 Henry Cohn, 2026, needs more optimization.
27 1005 0.263655522589 Henry Cohn, 2026, needs more optimization.
27 1006 0.263833746529 Henry Cohn, 2026, needs more optimization.
27 1007 0.264185734424 Henry Cohn, 2026, needs more optimization.
27 1008 0.264295737278 Henry Cohn, 2026, needs more optimization.
27 1009 0.264565800009 Henry Cohn, 2026, needs more optimization.
27 1010 0.264655653070 Henry Cohn, 2026, needs more optimization.
27 1011 0.264861868054 Henry Cohn, 2026, needs more optimization.
27 1012 0.264983140962 Henry Cohn, 2026, needs more optimization.
27 1013 0.265128146054 Henry Cohn, 2026, needs more optimization.
27 1014 0.265333274365 Henry Cohn, 2026, needs more optimization.
27 1015 0.265675729073 Henry Cohn, 2026, needs more optimization.
27 1016 0.265978352389 Henry Cohn, 2026, needs more optimization.
27 1017 0.266270915128 Henry Cohn, 2026, needs more optimization.
27 1018 0.266459705305 Henry Cohn, 2026, needs more optimization.
27 1019 0.266646513894 Henry Cohn, 2026, needs more optimization.
27 1020 0.266945633536 Henry Cohn, 2026, needs more optimization.
27 1021 0.267164706544 Henry Cohn, 2026, needs more optimization.
27 1022 0.267356158724 Henry Cohn, 2026, needs more optimization.
27 1023 0.267648998847 Henry Cohn, 2026, needs more optimization.
27 1024 0.267991471031 Henry Cohn, 2026, needs more optimization.
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 Henry Cohn, 2025.
30⁢x−1
28 59 0.039693085758 Henry Cohn, 2026, needs more optimization.
28 60 0.039721697123 Henry Cohn, 2026.
28 61 0.039748128111 Henry Cohn, 2026.
28 62 0.044332980069 Henry Cohn, 2026.
28 63 0.045182094797 Henry Cohn, 2026.
28 64 0.045901657151 Henry Cohn, 2024, needs more optimization.
28 65 0.046144411319 Henry Cohn, 2026.
28 66 0.047459655815 Henry Cohn, 2026.
28 67 0.052249912377 Henry Cohn, 2026.
28 68 0.054257387201 Henry Cohn, 2026.
28 69 0.055901491979 Henry Cohn, 2026, needs more optimization.
28 70 0.058160876254 Henry Cohn, 2026, needs more optimization.
28 71 0.059586716587 Henry Cohn, 2026.
28 72 0.061336054837 Henry Cohn, 2026.
28 73 0.063218203873 Henry Cohn, 2026, needs more optimization.
28 74 0.063894406204 Henry Cohn, 2026, needs more optimization.
28 75 0.064460441326 Henry Cohn, 2026, needs more optimization.
28 76 0.064717246563 Henry Cohn, 2026, needs more optimization.
28 77 0.065929172376 Henry Cohn, 2026, needs more optimization.
28 78 0.067448950547 Henry Cohn, 2026, needs more optimization.
28 79 0.069484886893 Henry Cohn, 2026, needs more optimization.
28 80 0.070912616827 Henry Cohn, 2026, needs more optimization.
28 81 0.072768932746 Henry Cohn, 2026, needs more optimization.
28 82 0.074536648258 Henry Cohn, 2026, needs more optimization.
28 83 0.074875269816 Henry Cohn, 2026, needs more optimization.
28 84 0.075994545567 Henry Cohn, 2026, needs more optimization.
28 85 0.076727990081 Henry Cohn, 2026, needs more optimization.
28 86 0.076884536336 Henry Cohn, 2026, needs more optimization.
28 87 0.076915225643 Henry Cohn, 2026, needs more optimization.
28 88 0.076926953863 Henry Cohn, 2026, needs more optimization.
28 89 0.077241411225 Henry Cohn, 2026, needs more optimization.
28 90 0.077491331789 Henry Cohn, 2026, needs more optimization.
28 91 0.078294912508 Henry Cohn, 2026, needs more optimization.
28 92 0.078682987675 Henry Cohn, 2026, needs more optimization.
28 93 0.079255292556 Henry Cohn, 2026, needs more optimization.
28 94 0.079399738743 Henry Cohn, 2026, needs more optimization.
28 95 0.079800755375 Henry Cohn, 2026, needs more optimization.
28 96 0.080120780454 Henry Cohn, 2026, needs more optimization.
28 97 0.080284048130 Henry Cohn, 2026, needs more optimization.
28 98 0.080499425204 Henry Cohn, 2026, needs more optimization.
28 99 0.080634601073 Henry Cohn, 2026, needs more optimization.
28 100 0.080685071015 Henry Cohn, 2026, needs more optimization.
28 101 0.080685483983 Henry Cohn, 2026, needs more optimization.
28 102 0.080912233682 Henry Cohn, 2026, needs more optimization.
28 103 0.083873205562 Henry Cohn, 2026, needs more optimization.
28 104 0.086414309337 Henry Cohn, 2026, needs more optimization.
28 105 0.086937093772 Henry Cohn, 2026, needs more optimization.
28 106 0.088320869111 Henry Cohn, 2026, needs more optimization.
28 107 0.088694019055 Henry Cohn, 2026, needs more optimization.
28 108 0.089298346855 Henry Cohn, 2026, needs more optimization.
28 109 0.089568787549 Henry Cohn, 2026, needs more optimization.
28 110 0.090120538528 Henry Cohn, 2026, needs more optimization.
28 111 0.090268830556 Henry Cohn, 2026, needs more optimization.
28 112 0.090268942349 Henry Cohn, 2026, needs more optimization.
28 113 0.090270049248 Henry Cohn, 2026, needs more optimization.
28 114 0.090596400975 Henry Cohn, 2026, needs more optimization.
28 115 0.090767280681 Henry Cohn, 2026, needs more optimization.
28 116 0.090842218595 Henry Cohn, 2026, needs more optimization.
28 117 0.090877261769 Henry Cohn, 2026, needs more optimization.
28 118 0.091675659471 Henry Cohn, 2026, needs more optimization.
28 119 0.094250312493 Henry Cohn, 2026, needs more optimization.
28 120 0.096167003383 Henry Cohn, 2026, needs more optimization.
28 121 0.098104137149 Henry Cohn, 2026, needs more optimization.
28 122 0.099654963974 Henry Cohn, 2026, needs more optimization.
28 123 0.101610959661 Henry Cohn, 2026, needs more optimization.
28 124 0.102878763367 Henry Cohn, 2026, needs more optimization.
28 126 0.102923495257 Henry Cohn, 2026, needs more optimization.
28 127 0.103107063579 Henry Cohn, 2026, needs more optimization.
28 128 0.103110996862 Henry Cohn, 2026, needs more optimization.
28 129 0.103114200507 Henry Cohn, 2026, needs more optimization.
28 130 0.103125334023 Henry Cohn, 2026, needs more optimization.
28 131 0.104327136078 Henry Cohn, 2026, needs more optimization.
28 132 0.105442227832 Henry Cohn, 2026, needs more optimization.
28 133 0.106278779619 Henry Cohn, 2026, needs more optimization.
28 134 0.108057191364 Henry Cohn, 2026, needs more optimization.
28 135 0.108634113329 Henry Cohn, 2026, needs more optimization.
28 136 0.109184466057 Henry Cohn, 2026, needs more optimization.
28 137 0.109866558370 Henry Cohn, 2026, needs more optimization.
28 138 0.110915460666 Henry Cohn, 2026, needs more optimization.
28 139 0.110935284195 Henry Cohn, 2026, needs more optimization.
28 140 0.111057411512 Henry Cohn, 2026, needs more optimization.
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 0.119841318624 Henry Cohn, 2026, needs more optimization.
28 154 0.122982805312 Henry Cohn, 2026, needs more optimization.
28 155 0.125279917631 Henry Cohn, 2026, needs more optimization.
28 156 0.126334177534 Henry Cohn, 2026, needs more optimization.
28 157 0.127125428928 Henry Cohn, 2026, needs more optimization.
28 158 0.127806270913 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.
28 184 0.141627437160 Henry Cohn, 2026, needs more optimization.
28 185 0.142185030329 Henry Cohn, 2026, needs more optimization.
28 186 0.142205732505 Henry Cohn, 2026, needs more optimization.
28 187 0.142214636609 Henry Cohn, 2026, needs more optimization.
28 188 0.142225876454 Henry Cohn, 2026, needs more optimization.
28 189 0.142274579353 Henry Cohn, 2026, needs more optimization.
28 190 0.142276679246 Henry Cohn, 2026, needs more optimization.
28 191 0.142278552184 Henry Cohn, 2026, needs more optimization.
28 192 0.142474970522 Henry Cohn, 2026, needs more optimization.
28 193 0.142523098938 Henry Cohn, 2026, needs more optimization.
28 194 0.142564438257 Henry Cohn, 2026, needs more optimization.
28 195 0.142634962138 Henry Cohn, 2026, needs more optimization.
28 196 0.142726935155 Henry Cohn, 2026, needs more optimization.
28 197 0.142774457181 Henry Cohn, 2026, needs more optimization.
28 198 0.142802946944 Henry Cohn, 2026, needs more optimization.
28 199 0.142881383419 Henry Cohn, 2026, needs more optimization.
28 200 0.143371737286 Henry Cohn, 2026, needs more optimization.
28 201 0.143698799415 Henry Cohn, 2026, needs more optimization.
28 202 0.144188611855 Henry Cohn, 2026, needs more optimization.
28 203 0.145069379356 Henry Cohn, 2026, needs more optimization.
28 204 0.145915089770 Henry Cohn, 2026, needs more optimization.
28 205 0.146229572501 Henry Cohn, 2026, needs more optimization.
28 206 0.146324851625 Henry Cohn, 2026, needs more optimization.
28 207 0.146358675342 Henry Cohn, 2026, needs more optimization.
28 208 0.146431253385 Henry Cohn, 2026, needs more optimization.
28 209 0.146696652638 Henry Cohn, 2026, needs more optimization.
28 210 0.146815085043 Henry Cohn, 2026, needs more optimization.
28 211 0.147041034847 Henry Cohn, 2026, needs more optimization.
28 212 0.147053903392 Henry Cohn, 2026, needs more optimization.
28 213 0.147103279484 Henry Cohn, 2026, needs more optimization.
28 214 0.147151600151 Henry Cohn, 2026, needs more optimization.
28 215 0.147162778455 Henry Cohn, 2026, needs more optimization.
28 216 0.147216810180 Henry Cohn, 2026, needs more optimization.
28 217 0.147233673522 Henry Cohn, 2026, needs more optimization.
28 218 0.147362985018 Henry Cohn, 2026, needs more optimization.
28 219 0.147603856940 Henry Cohn, 2026, needs more optimization.
28 220 0.147754705811 Henry Cohn, 2026, needs more optimization.
28 221 0.147822491130 Henry Cohn, 2026, needs more optimization.
28 222 0.147843489084 Henry Cohn, 2026, needs more optimization.
28 223 0.148216212525 Henry Cohn, 2026, needs more optimization.
28 224 0.148299651852 Henry Cohn, 2026, needs more optimization.
28 225 0.148419757884 Henry Cohn, 2026, needs more optimization.
28 226 0.148799804030 Henry Cohn, 2026, needs more optimization.
28 227 0.148817657941 Henry Cohn, 2026, needs more optimization.
28 228 0.148939986615 Henry Cohn, 2026, needs more optimization.
28 229 0.149150703682 Henry Cohn, 2026, needs more optimization.
28 230 0.149151016312 Henry Cohn, 2026, needs more optimization.
28 231 0.149168267247 Henry Cohn, 2026, needs more optimization.
28 232 0.149286028031 Henry Cohn, 2026, needs more optimization.
28 233 0.149319643953 Henry Cohn, 2026, needs more optimization.
28 234 0.149319815552 Henry Cohn, 2026, needs more optimization.
28 235 0.149321007059 Henry Cohn, 2026, needs more optimization.
28 236 0.149335548467 Henry Cohn, 2026, needs more optimization.
28 237 0.149335923458 Henry Cohn, 2026, needs more optimization.
28 238 0.149340720823 Henry Cohn, 2026, needs more optimization.
28 239 0.149511369101 Henry Cohn, 2026, needs more optimization.
28 240 0.150234670175 Henry Cohn, 2026, needs more optimization.
28 241 0.150642930629 Henry Cohn, 2026, needs more optimization.
28 242 0.151848941680 Henry Cohn, 2026, needs more optimization.
28 243 0.152971221234 Henry Cohn, 2026, needs more optimization.
28 244 0.154190035035 Henry Cohn, 2026, needs more optimization.
28 245 0.155360586042 Henry Cohn, 2026, needs more optimization.
28 246 0.157022174563 Henry Cohn, 2026, needs more optimization.
28 247 0.158356857109 Henry Cohn, 2026, needs more optimization.
28 248 0.159268799610 Henry Cohn, 2026, needs more optimization.
28 249 0.159588336420 Henry Cohn, 2026, needs more optimization.
28 250 0.160289501026 Henry Cohn, 2026, needs more optimization.
28 251 0.161312492936 Henry Cohn, 2026, needs more optimization.
28 252 0.162039418940 Henry Cohn, 2026, needs more optimization.
28 253 0.162058141624 Henry Cohn, 2026, needs more optimization.
28 254 0.162128702061 Henry Cohn, 2026, needs more optimization.
28 255 0.162162307036 Henry Cohn, 2026, needs more optimization.
28 256 0.162423178802 Henry Cohn, 2026, needs more optimization.
28 257 0.162665553039 Henry Cohn, 2026, needs more optimization.
28 258 0.162871904416 Henry Cohn, 2026, needs more optimization.
28 259 0.163037246843 Henry Cohn, 2026, needs more optimization.
28 260 0.163404737990 Henry Cohn, 2026, needs more optimization.
28 261 0.163587790111 Henry Cohn, 2026, needs more optimization.
28 262 0.163844957624 Henry Cohn, 2026, needs more optimization.
28 263 0.163944262410 Henry Cohn, 2026, needs more optimization.
28 264 0.164165172244 Henry Cohn, 2026, needs more optimization.
28 265 0.164353990446 Henry Cohn, 2026, needs more optimization.
28 266 0.164672058695 Henry Cohn, 2026, needs more optimization.
28 267 0.164750155202 Henry Cohn, 2026, needs more optimization.
28 268 0.164862627850 Henry Cohn, 2026, needs more optimization.
28 269 0.164967838724 Henry Cohn, 2026, needs more optimization.
28 270 0.165098192219 Henry Cohn, 2026, needs more optimization.
28 271 0.165107663907 Henry Cohn, 2026, needs more optimization.
28 272 0.165232067530 Henry Cohn, 2026, needs more optimization.
28 273 0.165296020519 Henry Cohn, 2026, needs more optimization.
28 274 0.165397496033 Henry Cohn, 2026, needs more optimization.
28 275 0.165413002643 Henry Cohn, 2026, needs more optimization.
28 276 0.165489992555 Henry Cohn, 2026, needs more optimization.
28 277 0.165509824608 Henry Cohn, 2026, needs more optimization.
28 278 0.165623855479 Henry Cohn, 2026, needs more optimization.
28 279 0.165679165380 Henry Cohn, 2026, needs more optimization.
28 280 0.165725331669 Henry Cohn, 2026, needs more optimization.
28 281 0.165731062404 Henry Cohn, 2026, needs more optimization.
28 282 0.165800436725 Henry Cohn, 2026, needs more optimization.
28 283 0.165893766489 Henry Cohn, 2026, needs more optimization.
28 284 0.165917376138 Henry Cohn, 2026, needs more optimization.
28 285 0.165981494232 Henry Cohn, 2026, needs more optimization.
28 286 0.166154987846 Henry Cohn, 2026, needs more optimization.
28 287 0.166257167085 Henry Cohn, 2026, needs more optimization.
28 288 0.166394096985 Henry Cohn, 2026, needs more optimization.
28 289 0.166409526905 Henry Cohn, 2026, needs more optimization.
28 290 0.166468927489 Henry Cohn, 2026, needs more optimization.
28 291 0.166486143336 Henry Cohn, 2026, needs more optimization.
28 292 0.166533404145 Henry Cohn, 2026, needs more optimization.
28 293 0.166538961956 Henry Cohn, 2026, needs more optimization.
28 294 0.166568091567 Henry Cohn, 2026, needs more optimization.
28 295 0.166592768214 Henry Cohn, 2026, needs more optimization.
28 296 0.166598310232 Henry Cohn, 2026, needs more optimization.
28 297 0.166600509231 Henry Cohn, 2026, needs more optimization.
28 298 0.166623553349 Henry Cohn, 2026, needs more optimization.
28 299 0.166631844846 Henry Cohn, 2026, needs more optimization.
28 300 0.166633278007 Henry Cohn, 2026, needs more optimization.
28 301 0.166643816364 Henry Cohn, 2026, needs more optimization.
28 302 0.166645137817 Henry Cohn, 2026, needs more optimization.
28 304 0.166665755940 Henry Cohn, 2026, needs more optimization.
28 305 0.166665768546 Henry Cohn, 2026, needs more optimization.
28 306 0.166665768679 Henry Cohn, 2026, needs more optimization.
28 307 0.166665834932 Henry Cohn, 2026, needs more optimization.
28 309 0.166668038357 Henry Cohn, 2026, needs more optimization.
28 310 0.166685600884 Henry Cohn, 2026, needs more optimization.
28 311 0.166696815793 Henry Cohn, 2026, needs more optimization.
28 312 0.166766542471 Henry Cohn, 2026, needs more optimization.
28 313 0.166787134976 Henry Cohn, 2026, needs more optimization.
28 314 0.167141920556 Henry Cohn, 2026, needs more optimization.
28 315 0.167218427105 Henry Cohn, 2026, needs more optimization.
28 316 0.167683921045 Henry Cohn, 2026, needs more optimization.
28 317 0.168076381495 Henry Cohn, 2026, needs more optimization.
28 318 0.168727431894 Henry Cohn, 2026, needs more optimization.
28 319 0.169686800890 Henry Cohn, 2026, needs more optimization.
28 320 0.170443549247 Henry Cohn, 2026, needs more optimization.
28 321 0.171623150198 Henry Cohn, 2026, needs more optimization.
28 322 0.172197609012 Henry Cohn, 2026, needs more optimization.
28 323 0.173325896449 Henry Cohn, 2026, needs more optimization.
28 324 0.173603741899 Henry Cohn, 2026, needs more optimization.
28 325 0.175396880244 Henry Cohn, 2026, needs more optimization.
28 326 0.175829273502 Henry Cohn, 2026, needs more optimization.
28 327 0.176314319333 Henry Cohn, 2026, needs more optimization.
28 328 0.177168105126 Henry Cohn, 2026, needs more optimization.
28 329 0.178583165898 Henry Cohn, 2026, needs more optimization.
28 330 0.178583392646 Henry Cohn, 2026, needs more optimization.
28 331 0.178584018026 Henry Cohn, 2026, needs more optimization.
28 332 0.178676862219 Henry Cohn, 2026, needs more optimization.
28 333 0.178906045051 Henry Cohn, 2026, needs more optimization.
28 334 0.178916574625 Henry Cohn, 2026, needs more optimization.
28 335 0.179626662156 Henry Cohn, 2026, needs more optimization.
28 336 0.180181035143 Henry Cohn, 2026, needs more optimization.
28 337 0.180185079939 Henry Cohn, 2026, needs more optimization.
28 338 0.180565082120 Henry Cohn, 2026, needs more optimization.
28 339 0.181622515723 Henry Cohn, 2026, needs more optimization.
28 340 0.181756679297 Henry Cohn, 2026, needs more optimization.
28 341 0.181770469102 Henry Cohn, 2026, needs more optimization.
28 342 0.181774227330 Henry Cohn, 2026, needs more optimization.
28 343 0.181804095415 Henry Cohn, 2026, needs more optimization.
28 344 0.181828031719 Henry Cohn, 2026, needs more optimization.
28 345 0.181832172155 Henry Cohn, 2026, needs more optimization.
28 346 0.181838379860 Henry Cohn, 2026, needs more optimization.
28 347 0.181840215473 Henry Cohn, 2026, needs more optimization.
28 348 0.181849438043 Henry Cohn, 2026, needs more optimization.
28 349 0.181875053099 Henry Cohn, 2026, needs more optimization.
28 350 0.181956559340 Henry Cohn, 2026, needs more optimization.
28 351 0.182227220947 Henry Cohn, 2026, needs more optimization.
28 352 0.182752368844 Henry Cohn, 2026, needs more optimization.
28 353 0.182851302039 Henry Cohn, 2026, needs more optimization.
28 354 0.183798697833 Henry Cohn, 2026, needs more optimization.
28 355 0.184456122139 Henry Cohn, 2026, needs more optimization.
28 356 0.185065036251 Henry Cohn, 2026, needs more optimization.
28 357 0.185277370793 Henry Cohn, 2026, needs more optimization.
28 358 0.185928935966 Henry Cohn, 2026, needs more optimization.
28 359 0.186552042413 Henry Cohn, 2026, needs more optimization.
28 360 0.186980835580 Henry Cohn, 2026, needs more optimization.
28 361 0.192229000144 Henry Cohn, 2026, needs more optimization.
28 362 0.192562880306 Henry Cohn, 2026, needs more optimization.
28 363 0.192777470921 Henry Cohn, 2026, needs more optimization.
28 364 0.193104924518 Henry Cohn, 2026, needs more optimization.
28 365 0.193151920776 Henry Cohn, 2026, needs more optimization.
28 366 0.193266825461 Henry Cohn, 2026, needs more optimization.
28 367 0.193549835038 Henry Cohn, 2026, needs more optimization.
28 368 0.193935947397 Henry Cohn, 2026, needs more optimization.
28 369 0.194067272048 Henry Cohn, 2026, needs more optimization.
28 370 0.194316968463 Henry Cohn, 2026, needs more optimization.
28 371 0.194545710456 Henry Cohn, 2026, needs more optimization.
28 372 0.194824396989 Henry Cohn, 2026, needs more optimization.
28 373 0.195074885010 Henry Cohn, 2026, needs more optimization.
28 374 0.195272993703 Henry Cohn, 2026, needs more optimization.
28 375 0.195531121940 Henry Cohn, 2026, needs more optimization.
28 376 0.195637298111 Henry Cohn, 2026, needs more optimization.
28 377 0.195669949670 Henry Cohn, 2026, needs more optimization.
28 378 0.195916731513 Henry Cohn, 2026, needs more optimization.
28 380 0.196138206509 Henry Cohn, 2026, needs more optimization.
28 381 0.196305185685 Henry Cohn, 2026, needs more optimization.
28 382 0.196526995837 Henry Cohn, 2026, needs more optimization.
28 383 0.196963823838 Henry Cohn, 2026, needs more optimization.
28 384 0.197085990477 Henry Cohn, 2026, needs more optimization.
28 387 0.197323514189 Henry Cohn, 2026, needs more optimization.
28 388 0.197368103933 Henry Cohn, 2026, needs more optimization.
28 389 0.197552442243 Henry Cohn, 2026, needs more optimization.
28 390 0.197764976336 Henry Cohn, 2026, needs more optimization.
28 392 0.197856627530 Henry Cohn, 2026, needs more optimization.
28 393 0.197949892668 Henry Cohn, 2026, needs more optimization.
28 394 0.198135859985 Henry Cohn, 2026, needs more optimization.
28 395 0.198280691218 Henry Cohn, 2026, needs more optimization.
28 396 0.198354970496 Henry Cohn, 2026, needs more optimization.
28 398 0.198389832321 Henry Cohn, 2026, needs more optimization.
28 399 0.198434485932 Henry Cohn, 2026, needs more optimization.
28 400 0.198569807320 Henry Cohn, 2026, needs more optimization.
28 401 0.198682779325 Henry Cohn, 2026, needs more optimization.
28 404 0.198714110483 Henry Cohn, 2026, needs more optimization.
28 405 0.198799396519 Henry Cohn, 2026, needs more optimization.
28 407 0.198898723880 Henry Cohn, 2026, needs more optimization.
28 408 0.198978321947 Henry Cohn, 2026, needs more optimization.
28 409 0.199006861647 Henry Cohn, 2026, needs more optimization.
28 410 0.199113655627 Henry Cohn, 2026, needs more optimization.
28 412 0.199199389291 Henry Cohn, 2026, needs more optimization.
28 413 0.199213513699 Henry Cohn, 2026, needs more optimization.
28 414 0.199324971339 Henry Cohn, 2026, needs more optimization.
28 416 0.199332885938 Henry Cohn, 2026, needs more optimization.
28 417 0.199398565535 Henry Cohn, 2026, needs more optimization.
28 418 0.199404096004 Henry Cohn, 2026, needs more optimization.
28 419 0.199505269366 Henry Cohn, 2026, needs more optimization.
28 420 0.199507146105 Henry Cohn, 2026, needs more optimization.
28 421 0.199534031853 Henry Cohn, 2026, needs more optimization.
28 422 0.199537797325 Henry Cohn, 2026, needs more optimization.
28 423 0.199567023965 Henry Cohn, 2026, needs more optimization.
28 424 0.199573287248 Henry Cohn, 2026, needs more optimization.
28 431 0.199600608407 Henry Cohn, 2026, needs more optimization.
28 433 0.199613415549 Henry Cohn, 2026, needs more optimization.
28 434 0.199637803699 Henry Cohn, 2026, needs more optimization.
28 435 0.199648653258 Henry Cohn, 2026, needs more optimization.
28 436 0.199658350741 Henry Cohn, 2026, needs more optimization.
28 438 0.199719096986 Henry Cohn, 2026, needs more optimization.
28 439 0.199726409077 Henry Cohn, 2026, needs more optimization.
28 440 0.199756079493 Henry Cohn, 2026, needs more optimization.
28 441 0.199770157905 Henry Cohn, 2026, needs more optimization.
28 442 0.199787627767 Henry Cohn, 2026, needs more optimization.
28 443 0.199787792489 Henry Cohn, 2026, needs more optimization.
28 445 0.199810285549 Henry Cohn, 2026, needs more optimization.
28 446 0.199854474802 Henry Cohn, 2026, needs more optimization.
28 447 0.199875701565 Henry Cohn, 2026, needs more optimization.
28 448 0.199889742404 Henry Cohn, 2026, needs more optimization.
28 449 0.199907047043 Henry Cohn, 2026, needs more optimization.
28 451 0.199914641024 Henry Cohn, 2026, needs more optimization.
28 452 0.199921532351 Henry Cohn, 2026, needs more optimization.
28 453 0.199928246100 Henry Cohn, 2026, needs more optimization.
28 455 0.199963902508 Henry Cohn, 2026, needs more optimization.
28 459 0.199972736148 Henry Cohn, 2026, needs more optimization.
28 460 0.199977692418 Henry Cohn, 2026, needs more optimization.
28 568 0.2 Orthogonal union of 552 points in 23 dimensions and 16 points in 5 dimensions.
5⁢x−1
28 570 0.200002691096 Henry Cohn, 2026, needs more optimization.
28 571 0.200002940684 Henry Cohn, 2026, needs more optimization.
28 572 0.200004383352 Orthogonal union of 570 points in 27 dimensions and 2 points in 1 dimension.
28 574 0.200024240615 Henry Cohn, 2026, needs more optimization.
28 575 0.200028637866 Henry Cohn, 2026, needs more optimization.
28 576 0.200031195079 Henry Cohn, 2026, needs more optimization.
28 577 0.200034865062 Henry Cohn, 2026, needs more optimization.
28 578 0.200042222632 Henry Cohn, 2026, needs more optimization.
28 580 0.200050300177 Henry Cohn, 2026, needs more optimization.
28 581 0.200066925490 Henry Cohn, 2026, needs more optimization.
28 584 0.200068553907 Henry Cohn, 2026, needs more optimization.
28 585 0.200071542902 Henry Cohn, 2026, needs more optimization.
28 586 0.200097511522 Henry Cohn, 2026, needs more optimization.
28 587 0.200154954611 Henry Cohn, 2026, needs more optimization.
28 588 0.200191722416 Henry Cohn, 2026, needs more optimization.
28 589 0.200218983659 Henry Cohn, 2026, needs more optimization.
28 590 0.200345467447 Henry Cohn, 2026, needs more optimization.
28 591 0.200744241466 Henry Cohn, 2026, needs more optimization.
28 592 0.201009373703 Henry Cohn, 2026, needs more optimization.
28 593 0.201050575103 Henry Cohn, 2026, needs more optimization.
28 594 0.201226578219 Henry Cohn, 2026, needs more optimization.
28 595 0.202040990019 Henry Cohn, 2026, needs more optimization.
28 596 0.202569414343 Henry Cohn, 2026, needs more optimization.
28 597 0.203344887867 Henry Cohn, 2026, needs more optimization.
28 598 0.203848161058 Henry Cohn, 2026, needs more optimization.
28 599 0.204393755267 Henry Cohn, 2026, needs more optimization.
28 600 0.204862998459 Henry Cohn, 2026, needs more optimization.
28 602 0.237685605819 Henry Cohn, 2026, needs more optimization.
28 603 0.237741829840 Henry Cohn, 2026, needs more optimization.
28 604 0.237777976736 Henry Cohn, 2026, needs more optimization.
28 606 0.237824576356 Henry Cohn, 2026, needs more optimization.
28 609 0.237919130110 Henry Cohn, 2026, needs more optimization.
28 613 0.237926543852 Henry Cohn, 2026, needs more optimization.
28 614 0.237954442879 Henry Cohn, 2026, needs more optimization.
28 637 0.238091918069 Henry Cohn, 2026, needs more optimization.
28 638 0.238113425876 Henry Cohn, 2026, needs more optimization.
28 641 0.238114625708 Henry Cohn, 2026, needs more optimization.
28 652 0.238115068502 Henry Cohn, 2026, needs more optimization.
28 653 0.238124352032 Henry Cohn, 2026, needs more optimization.
28 659 0.238130501819 Henry Cohn, 2026, needs more optimization.
28 661 0.238153527593 Henry Cohn, 2026, needs more optimization.
28 662 0.238198542925 Henry Cohn, 2026, needs more optimization.
28 665 0.238296959839 Henry Cohn, 2026, needs more optimization.
28 666 0.238309193923 Henry Cohn, 2026, needs more optimization.
28 668 0.238317955582 Henry Cohn, 2026, needs more optimization.
28 669 0.238336216530 Henry Cohn, 2026, needs more optimization.
28 671 0.238363269688 Henry Cohn, 2026, needs more optimization.
28 677 0.238449711405 Henry Cohn, 2026, needs more optimization.
28 678 0.238503678083 Henry Cohn, 2026, needs more optimization.
28 679 0.238550275758 Henry Cohn, 2026, needs more optimization.
28 680 0.238619838440 Henry Cohn, 2026, needs more optimization.
28 681 0.238666920910 Henry Cohn, 2026, needs more optimization.
28 682 0.238757999624 Henry Cohn, 2026, needs more optimization.
28 683 0.238775628308 Henry Cohn, 2026, needs more optimization.
28 685 0.239041921181 Henry Cohn, 2026, needs more optimization.
28 687 0.239103771788 Henry Cohn, 2026, needs more optimization.
28 688 0.239429187737 Henry Cohn, 2026, needs more optimization.
28 689 0.239646189961 Henry Cohn, 2026, needs more optimization.
28 690 0.239875612070 Henry Cohn, 2026, needs more optimization.
28 691 0.239930633622 Henry Cohn, 2026, needs more optimization.
28 692 0.240033894688 Henry Cohn, 2026, needs more optimization.
28 694 0.240137492323 Henry Cohn, 2026, needs more optimization.
28 695 0.240242432437 Henry Cohn, 2026, needs more optimization.
28 696 0.240938268357 Henry Cohn, 2026, needs more optimization.
28 697 0.241131171148 Henry Cohn, 2026, needs more optimization.
28 699 0.241232647087 Henry Cohn, 2026, needs more optimization.
28 700 0.241729474767 Henry Cohn, 2026, needs more optimization.
28 702 0.241778804968 Henry Cohn, 2026, needs more optimization.
28 706 0.241926259879 Henry Cohn, 2026, needs more optimization.
28 707 0.242063621713 Henry Cohn, 2026, needs more optimization.
28 708 0.242547165778 Henry Cohn, 2026, needs more optimization.
28 709 0.242648489126 Henry Cohn, 2026, needs more optimization.
28 710 0.242833099796 Henry Cohn, 2026, needs more optimization.
28 713 0.243240443399 Henry Cohn, 2026, needs more optimization.
28 714 0.243349152520 Henry Cohn, 2026, needs more optimization.
28 716 0.243637871210 Henry Cohn, 2026, needs more optimization.
28 717 0.244189417332 Henry Cohn, 2026, needs more optimization.
28 718 0.247698785056 Henry Cohn, 2026, needs more optimization.
28 719 0.247706776092 Henry Cohn, 2026, needs more optimization.
28 720 0.247724338309 Henry Cohn, 2026, needs more optimization.
28 721 0.247774073090 Henry Cohn, 2026, needs more optimization.
28 722 0.247811164160 Henry Cohn, 2026, needs more optimization.
28 726 0.247835347831 Henry Cohn, 2026, needs more optimization.
28 727 0.247890034907 Henry Cohn, 2026, needs more optimization.
28 728 0.247924114425 Henry Cohn, 2026, needs more optimization.
28 729 0.247971803829 Henry Cohn, 2026, needs more optimization.
28 731 0.248021496866 Henry Cohn, 2026, needs more optimization.
28 734 0.248059391057 Henry Cohn, 2026, needs more optimization.
28 735 0.248097672751 Henry Cohn, 2026, needs more optimization.
28 736 0.248127579453 Henry Cohn, 2026, needs more optimization.
28 737 0.248144722453 Henry Cohn, 2026, needs more optimization.
28 738 0.248180854421 Henry Cohn, 2026, needs more optimization.
28 739 0.248221510545 Henry Cohn, 2026, needs more optimization.
28 740 0.248256509796 Henry Cohn, 2026, needs more optimization.
28 741 0.248273935412 Henry Cohn, 2026, needs more optimization.
28 742 0.248348268073 Henry Cohn, 2026, needs more optimization.
28 743 0.248389288968 Henry Cohn, 2026, needs more optimization.
28 744 0.248437581061 Henry Cohn, 2026, needs more optimization.
28 745 0.248458289699 Henry Cohn, 2026, needs more optimization.
28 746 0.248514569467 Henry Cohn, 2026, needs more optimization.
28 748 0.248526467842 Henry Cohn, 2026, needs more optimization.
28 749 0.248556571101 Henry Cohn, 2026, needs more optimization.
28 750 0.248617828147 Henry Cohn, 2026, needs more optimization.
28 751 0.248666217324 Henry Cohn, 2026, needs more optimization.
28 752 0.248726308138 Henry Cohn, 2026, needs more optimization.
28 753 0.248755631727 Henry Cohn, 2026, needs more optimization.
28 754 0.248799216289 Henry Cohn, 2026, needs more optimization.
28 755 0.248841172573 Henry Cohn, 2026, needs more optimization.
28 756 0.248881153374 Henry Cohn, 2026, needs more optimization.
28 757 0.248919914679 Henry Cohn, 2026, needs more optimization.
28 758 0.248964674251 Henry Cohn, 2026, needs more optimization.
28 759 0.248974162550 Henry Cohn, 2026, needs more optimization.
28 761 0.249016692661 Henry Cohn, 2026, needs more optimization.
28 763 0.249074886017 Henry Cohn, 2026, needs more optimization.
28 764 0.249112648479 Henry Cohn, 2026, needs more optimization.
28 765 0.249134949597 Henry Cohn, 2026, needs more optimization.
28 767 0.249185787279 Henry Cohn, 2026, needs more optimization.
28 768 0.249213541691 Henry Cohn, 2026, needs more optimization.
28 769 0.249254433646 Henry Cohn, 2026, needs more optimization.
28 770 0.249255870645 Henry Cohn, 2026, needs more optimization.
28 771 0.249287344516 Henry Cohn, 2026, needs more optimization.
28 772 0.249308857248 Henry Cohn, 2026, needs more optimization.
28 773 0.249323243285 Henry Cohn, 2026, needs more optimization.
28 774 0.249352855979 Henry Cohn, 2026, needs more optimization.
28 775 0.249372565595 Henry Cohn, 2026, needs more optimization.
28 776 0.249409744002 Henry Cohn, 2026, needs more optimization.
28 777 0.249447092299 Henry Cohn, 2026, needs more optimization.
28 778 0.249451217733 Henry Cohn, 2026, needs more optimization.
28 779 0.249475600143 Henry Cohn, 2026, needs more optimization.
28 780 0.249478350249 Henry Cohn, 2026, needs more optimization.
28 782 0.249500400937 Henry Cohn, 2026, needs more optimization.
28 783 0.249527408038 Henry Cohn, 2026, needs more optimization.
28 784 0.249546838072 Henry Cohn, 2026, needs more optimization.
28 785 0.249562139518 Henry Cohn, 2026, needs more optimization.
28 786 0.249592314398 Henry Cohn, 2026, needs more optimization.
28 787 0.249604721011 Henry Cohn, 2026, needs more optimization.
28 788 0.249613821920 Henry Cohn, 2026, needs more optimization.
28 789 0.249633068723 Henry Cohn, 2026, needs more optimization.
28 792 0.249661532003 Henry Cohn, 2026, needs more optimization.
28 794 0.249670039306 Henry Cohn, 2026, needs more optimization.
28 795 0.249672347365 Henry Cohn, 2026, needs more optimization.
28 796 0.249681801813 Henry Cohn, 2026, needs more optimization.
28 797 0.249698546170 Henry Cohn, 2026, needs more optimization.
28 799 0.249702278426 Henry Cohn, 2026, needs more optimization.
28 800 0.249715068449 Henry Cohn, 2026, needs more optimization.
28 802 0.249737602386 Henry Cohn, 2026, needs more optimization.
28 803 0.249745212245 Henry Cohn, 2026, needs more optimization.
28 806 0.249774384192 Henry Cohn, 2026, needs more optimization.
28 807 0.249796294752 Henry Cohn, 2026, needs more optimization.
28 808 0.249802665032 Henry Cohn, 2026, needs more optimization.
28 810 0.249803577580 Henry Cohn, 2026, needs more optimization.
28 811 0.249804504578 Henry Cohn, 2026, needs more optimization.
28 813 0.249840760255 Henry Cohn, 2026, needs more optimization.
28 814 0.249852297862 Henry Cohn, 2026, needs more optimization.
28 815 0.249872509572 Henry Cohn, 2026, needs more optimization.
28 816 0.249878813779 Henry Cohn, 2026, needs more optimization.
28 817 0.249896459544 Henry Cohn, 2026, needs more optimization.
28 818 0.249916225050 Henry Cohn, 2026, needs more optimization.
28 821 0.249924890697 Henry Cohn, 2026, needs more optimization.
28 822 0.249925742384 Henry Cohn, 2026, needs more optimization.
28 823 0.249943079592 Henry Cohn, 2026, needs more optimization.
28 825 0.249958949014 Henry Cohn, 2026, needs more optimization.
28 976 0.25 Henry Cohn, 2026.
4⁢x−1
28 977 0.250024209405 Henry Cohn, 2026, needs more optimization.
28 978 0.250025658596 Henry Cohn, 2026, needs more optimization.
28 979 0.250035791685 Henry Cohn, 2026, needs more optimization.
28 980 0.250038995579 Henry Cohn, 2026, needs more optimization.
28 981 0.250044974668 Henry Cohn, 2026, needs more optimization.
28 982 0.250045856531 Henry Cohn, 2026, needs more optimization.
28 984 0.250053881403 Henry Cohn, 2026, needs more optimization.
28 985 0.250062489010 Henry Cohn, 2026, needs more optimization.
28 986 0.250062814470 Henry Cohn, 2026, needs more optimization.
28 987 0.250067178715 Henry Cohn, 2026, needs more optimization.
28 989 0.250078896727 Henry Cohn, 2026, needs more optimization.
28 991 0.250083588040 Henry Cohn, 2026, needs more optimization.
28 993 0.250090299409 Henry Cohn, 2026, needs more optimization.
28 994 0.250119877695 Henry Cohn, 2026, needs more optimization.
28 995 0.250146208769 Henry Cohn, 2026, needs more optimization.
28 997 0.250174971682 Henry Cohn, 2026, needs more optimization.
28 998 0.250188533594 Henry Cohn, 2026, needs more optimization.
28 1002 0.250207873663 Henry Cohn, 2026, needs more optimization.
28 1004 0.250224113381 Henry Cohn, 2026, needs more optimization.
28 1005 0.250271756223 Henry Cohn, 2026, needs more optimization.
28 1006 0.250355533485 Henry Cohn, 2026, needs more optimization.
28 1007 0.250492703909 Henry Cohn, 2026, needs more optimization.
28 1009 0.250536550384 Henry Cohn, 2026, needs more optimization.
28 1010 0.250679976205 Henry Cohn, 2026, needs more optimization.
28 1011 0.250837317598 Henry Cohn, 2026, needs more optimization.
28 1012 0.250996484138 Henry Cohn, 2026, needs more optimization.
28 1013 0.251444377413 Henry Cohn, 2026, needs more optimization.
28 1014 0.251456008875 Henry Cohn, 2026, needs more optimization.
28 1015 0.251614736711 Henry Cohn, 2026, needs more optimization.
28 1016 0.251866306728 Henry Cohn, 2026, needs more optimization.
28 1017 0.252141413584 Henry Cohn, 2026, needs more optimization.
28 1018 0.252411684018 Henry Cohn, 2026, needs more optimization.
28 1019 0.252650143533 Henry Cohn, 2026, needs more optimization.
28 1020 0.252942601395 Henry Cohn, 2026, needs more optimization.
28 1021 0.253054348956 Henry Cohn, 2026, needs more optimization.
28 1022 0.253184735795 Henry Cohn, 2026, needs more optimization.
28 1023 0.253514628616 Henry Cohn, 2026, needs more optimization.
28 1024 0.253916577770 Henry Cohn, 2026, needs more optimization.
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 0.032283994156 Henry Cohn, 2024.
29 61 0.038074677873 Henry Cohn, 2026, needs more optimization.
29 62 0.039037971400 Henry Cohn, 2026.
29 63 0.039552183365 Henry Cohn, 2026.
29 64 0.043272075045 Henry Cohn, 2026.
29 65 0.044603988536 Henry Cohn, 2026.
29 66 0.044624234798 Henry Cohn, 2026, needs more optimization.
29 67 0.044634959638 Henry Cohn, 2026, needs more optimization.
29 68 0.046023717623 Henry Cohn, 2026.
29 69 0.050837623819 Henry Cohn, 2026.
29 70 0.052553724181 Henry Cohn, 2026, needs more optimization.
29 71 0.054294848299 Henry Cohn, 2026, needs more optimization.
29 72 0.056102523445 Henry Cohn, 2026, needs more optimization.
29 73 0.057724695253 Henry Cohn, 2026, needs more optimization.
29 74 0.059424887087 Henry Cohn, 2026, needs more optimization.
29 75 0.060942469775 Henry Cohn, 2026, needs more optimization.
29 76 0.062593921311 Henry Cohn, 2026, needs more optimization.
29 77 0.063118686500 Henry Cohn, 2026, needs more optimization.
29 78 0.063579419232 Henry Cohn, 2026, needs more optimization.
29 79 0.064149508725 Henry Cohn, 2026, needs more optimization.
29 80 0.065731223905 Henry Cohn, 2026, needs more optimization.
29 81 0.066916771097 Henry Cohn, 2026, needs more optimization.
29 82 0.068551140992 Henry Cohn, 2026, needs more optimization.
29 83 0.070359470510 Henry Cohn, 2026, needs more optimization.
29 84 0.072177323531 Henry Cohn, 2026, needs more optimization.
29 85 0.073571723199 Henry Cohn, 2026, needs more optimization.
29 86 0.074839660480 Henry Cohn, 2026, needs more optimization.
29 87 0.075744746089 Henry Cohn, 2026, needs more optimization.
29 88 0.075920843902 Henry Cohn, 2026, needs more optimization.
29 89 0.076456234401 Henry Cohn, 2026, needs more optimization.
29 90 0.076802816123 Henry Cohn, 2026, needs more optimization.
29 91 0.076986011813 Henry Cohn, 2026, needs more optimization.
29 92 0.077171102510 Henry Cohn, 2026, needs more optimization.
29 93 0.077370861783 Henry Cohn, 2026, needs more optimization.
29 94 0.077819999321 Henry Cohn, 2026, needs more optimization.
29 95 0.078080044551 Henry Cohn, 2026, needs more optimization.
29 96 0.078171352979 Henry Cohn, 2026, needs more optimization.
29 97 0.078819539568 Henry Cohn, 2026, needs more optimization.
29 98 0.078879311964 Henry Cohn, 2026, needs more optimization.
29 99 0.079122169590 Henry Cohn, 2026, needs more optimization.
29 100 0.079421807624 Henry Cohn, 2026, needs more optimization.
29 101 0.080120970007 Henry Cohn, 2026, needs more optimization.
29 102 0.080261661364 Henry Cohn, 2026, needs more optimization.
29 103 0.080658815687 Henry Cohn, 2026, needs more optimization.
29 104 0.080673075187 Henry Cohn, 2026, needs more optimization.
29 105 0.080717042485 Henry Cohn, 2026, needs more optimization.
29 106 0.082047489957 Henry Cohn, 2026, needs more optimization.
29 107 0.083055104647 Henry Cohn, 2026, needs more optimization.
29 108 0.084786729484 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 0.089548687633 Henry Cohn, 2026, needs more optimization.
29 114 0.089842873993 Henry Cohn, 2026, needs more optimization.
29 115 0.089939807547 Henry Cohn, 2026, needs more optimization.
29 116 0.090013372974 Henry Cohn, 2026, needs more optimization.
29 117 0.090304328434 Henry Cohn, 2026, needs more optimization.
29 118 0.090583523721 Henry Cohn, 2026, needs more optimization.
29 119 0.090701484137 Henry Cohn, 2026, needs more optimization.
29 120 0.090751274265 Henry Cohn, 2026, needs more optimization.
29 121 0.091123623965 Henry Cohn, 2026, needs more optimization.
29 122 0.091837393072 Henry Cohn, 2026, needs more optimization.
29 123 0.093254360064 Henry Cohn, 2026, needs more optimization.
29 124 0.094254725171 Henry Cohn, 2026, needs more optimization.
29 125 0.096614678389 Henry Cohn, 2026, needs more optimization.
29 126 0.098256839001 Henry Cohn, 2026, needs more optimization.
29 127 0.100033346593 Henry Cohn, 2026, needs more optimization.
29 128 0.101514436638 Henry Cohn, 2026, needs more optimization.
29 129 0.102427503855 Henry Cohn, 2026, needs more optimization.
29 130 0.102457215282 Henry Cohn, 2026, needs more optimization.
29 131 0.102540925709 Henry Cohn, 2026, needs more optimization.
29 132 0.102570582863 Henry Cohn, 2026, needs more optimization.
29 133 0.102597544223 Henry Cohn, 2026, needs more optimization.
29 134 0.102727913311 Henry Cohn, 2026, needs more optimization.
29 135 0.103129635171 Henry Cohn, 2026, needs more optimization.
29 136 0.103853178334 Henry Cohn, 2026, needs more optimization.
29 137 0.105305285358 Henry Cohn, 2026, needs more optimization.
29 138 0.106382108234 Henry Cohn, 2026, needs more optimization.
29 139 0.107471124555 Henry Cohn, 2026, needs more optimization.
29 140 0.108487714991 Henry Cohn, 2026, needs more optimization.
29 141 0.108743553155 Henry Cohn, 2026, needs more optimization.
29 142 0.109587711963 Henry Cohn, 2026, needs more optimization.
29 143 0.110516615050 Henry Cohn, 2026, needs more optimization.
29 144 0.110745324377 Henry Cohn, 2026, needs more optimization.
29 145 0.110906903086 Henry Cohn, 2026, needs more optimization.
29 146 0.111108989128 Henry Cohn, 2026, needs more optimization.
29 147 0.111109114601 Henry Cohn, 2026, needs more optimization.
29 152 0.111111111112 Orthogonal union of 150 points in 28 dimensions and 2 points in 1 dimension.
9⁢x−1
29 153 0.111111802307 Henry Cohn, 2026, needs more optimization.
29 154 0.111112541654 Henry Cohn, 2026, needs more optimization.
29 155 0.112130707534 Henry Cohn, 2026, needs more optimization.
29 156 0.115279167228 Henry Cohn, 2026, needs more optimization.
29 157 0.118148421907 Henry Cohn, 2026, needs more optimization.
29 158 0.119979549595 Henry Cohn, 2026, needs more optimization.
29 159 0.121364106258 Henry Cohn, 2026, needs more optimization.
29 160 0.121616281528 Henry Cohn, 2026, needs more optimization.
29 161 0.124245426801 Henry Cohn, 2026, needs more optimization.
29 162 0.125203483078 Henry Cohn, 2026, needs more optimization.
29 163 0.125770666923 Henry Cohn, 2026, needs more optimization.
29 164 0.126078569471 Henry Cohn, 2026, needs more optimization.
29 165 0.127025938650 Henry Cohn, 2026, needs more optimization.
29 166 0.128063243772 Henry Cohn, 2026, needs more optimization.
29 184 0.128238684469 Orthogonal union of 182 points in 28 dimensions and 2 points in 1 dimension.
92⁢x2−4⁢x−1
29 185 0.128241027275 Henry Cohn, 2026, needs more optimization.
29 186 0.129356606834 Henry Cohn, 2026, needs more optimization.
29 187 0.131138177293 Henry Cohn, 2026, needs more optimization.
29 188 0.134960617850 Henry Cohn, 2026, needs more optimization.
29 189 0.136110962988 Henry Cohn, 2026, needs more optimization.
29 190 0.138804807397 Henry Cohn, 2026, needs more optimization.
29 191 0.139947916613 Henry Cohn, 2026, needs more optimization.
29 192 0.140859553993 Henry Cohn, 2026, needs more optimization.
29 193 0.141750930915 Henry Cohn, 2026, needs more optimization.
29 194 0.141867605357 Henry Cohn, 2026, needs more optimization.
29 195 0.141873538490 Henry Cohn, 2026, needs more optimization.
29 196 0.142057366881 Henry Cohn, 2026, needs more optimization.
29 197 0.142095380893 Henry Cohn, 2026, needs more optimization.
29 198 0.142169874122 Henry Cohn, 2026, needs more optimization.
29 199 0.142205104000 Henry Cohn, 2026, needs more optimization.
29 200 0.142286494868 Henry Cohn, 2026, needs more optimization.
29 201 0.142346415002 Henry Cohn, 2026, needs more optimization.
29 202 0.142399356623 Henry Cohn, 2026, needs more optimization.
29 203 0.142422396310 Henry Cohn, 2026, needs more optimization.
29 204 0.142450982999 Henry Cohn, 2026, needs more optimization.
29 205 0.142557974534 Henry Cohn, 2026, needs more optimization.
29 206 0.142703054910 Henry Cohn, 2026, needs more optimization.
29 207 0.142865530744 Henry Cohn, 2026, needs more optimization.
29 208 0.142994666733 Henry Cohn, 2026, needs more optimization.
29 209 0.143548836595 Henry Cohn, 2026, needs more optimization.
29 210 0.143761526148 Henry Cohn, 2026, needs more optimization.
29 211 0.144242298137 Henry Cohn, 2026, needs more optimization.
29 212 0.144978931600 Henry Cohn, 2026, needs more optimization.
29 213 0.145546804335 Henry Cohn, 2026, needs more optimization.
29 214 0.145856041004 Henry Cohn, 2026, needs more optimization.
29 215 0.145872299353 Henry Cohn, 2026, needs more optimization.
29 216 0.145875732966 Henry Cohn, 2026, needs more optimization.
29 217 0.145878364811 Henry Cohn, 2026, needs more optimization.
29 218 0.146066382958 Henry Cohn, 2026, needs more optimization.
29 219 0.146217416077 Henry Cohn, 2026, needs more optimization.
29 220 0.146488078682 Henry Cohn, 2026, needs more optimization.
29 221 0.146549408498 Henry Cohn, 2026, needs more optimization.
29 222 0.146635620866 Henry Cohn, 2026, needs more optimization.
29 223 0.146760485376 Henry Cohn, 2026, needs more optimization.
29 224 0.146957174613 Henry Cohn, 2026, needs more optimization.
29 225 0.146975841537 Henry Cohn, 2026, needs more optimization.
29 235 0.147102976680 Henry Cohn, 2026.
87⁢x2−6⁢x−1
29 236 0.147890110400 Henry Cohn, 2026, needs more optimization.
29 237 0.147930392463 Henry Cohn, 2026, needs more optimization.
29 238 0.147937666107 Henry Cohn, 2026, needs more optimization.
29 239 0.147982610080 Henry Cohn, 2026.
29 240 0.148018439048 Henry Cohn, 2026, needs more optimization.
29 241 0.148273312323 Henry Cohn, 2026, needs more optimization.
29 242 0.148411738513 Henry Cohn, 2026, needs more optimization.
29 243 0.148733721568 Henry Cohn, 2026, needs more optimization.
29 244 0.148960252382 Henry Cohn, 2026, needs more optimization.
29 245 0.149401025961 Henry Cohn, 2026, needs more optimization.
29 246 0.149992827468 Henry Cohn, 2026, needs more optimization.
29 247 0.150253977344 Henry Cohn, 2026, needs more optimization.
29 248 0.150710399958 Henry Cohn, 2026, needs more optimization.
29 249 0.151104949646 Henry Cohn, 2026, needs more optimization.
29 250 0.151815503357 Henry Cohn, 2026, needs more optimization.
29 251 0.152577482860 Henry Cohn, 2026, needs more optimization.
29 252 0.153924516135 Henry Cohn, 2026, needs more optimization.
29 253 0.154586520481 Henry Cohn, 2026, needs more optimization.
29 254 0.155259741430 Henry Cohn, 2026, needs more optimization.
29 255 0.156076078487 Henry Cohn, 2026, needs more optimization.
29 256 0.156799598556 Henry Cohn, 2026, needs more optimization.
29 257 0.157619673700 Henry Cohn, 2026, needs more optimization.
29 258 0.158432028006 Henry Cohn, 2026, needs more optimization.
29 259 0.159228930956 Henry Cohn, 2026, needs more optimization.
29 260 0.160123083105 Henry Cohn, 2026, needs more optimization.
29 261 0.160163693272 Henry Cohn, 2026, needs more optimization.
29 262 0.161801972330 Henry Cohn, 2026, needs more optimization.
29 263 0.162276370134 Henry Cohn, 2026, needs more optimization.
29 264 0.162329684060 Henry Cohn, 2026, needs more optimization.
29 265 0.162353130251 Henry Cohn, 2026, needs more optimization.
29 266 0.162365904881 Henry Cohn, 2026, needs more optimization.
29 267 0.162366906091 Henry Cohn, 2026, needs more optimization.
29 268 0.162436328470 Henry Cohn, 2026, needs more optimization.
29 269 0.162826777679 Henry Cohn, 2026, needs more optimization.
29 270 0.162863528477 Henry Cohn, 2026, needs more optimization.
29 271 0.162884869411 Henry Cohn, 2026, needs more optimization.
29 272 0.163141192826 Henry Cohn, 2026, needs more optimization.
29 273 0.163378076100 Henry Cohn, 2026, needs more optimization.
29 274 0.163439839655 Henry Cohn, 2026, needs more optimization.
29 275 0.163521104595 Henry Cohn, 2026, needs more optimization.
29 276 0.163583762927 Henry Cohn, 2026, needs more optimization.
29 277 0.163665938227 Henry Cohn, 2026, needs more optimization.
29 278 0.163815798499 Henry Cohn, 2026, needs more optimization.
29 279 0.163889740522 Henry Cohn, 2026, needs more optimization.
29 280 0.163968291212 Henry Cohn, 2026, needs more optimization.
29 281 0.164185702433 Henry Cohn, 2026, needs more optimization.
29 282 0.164312377169 Henry Cohn, 2026, needs more optimization.
29 283 0.164462025183 Henry Cohn, 2026, needs more optimization.
29 284 0.164572132752 Henry Cohn, 2026, needs more optimization.
29 285 0.164698213781 Henry Cohn, 2026, needs more optimization.
29 286 0.164728079470 Henry Cohn, 2026, needs more optimization.
29 287 0.164837517632 Henry Cohn, 2026, needs more optimization.
29 288 0.164984894407 Henry Cohn, 2026, needs more optimization.
29 289 0.165068259759 Henry Cohn, 2026, needs more optimization.
29 290 0.165122954179 Henry Cohn, 2026, needs more optimization.
29 291 0.165151853145 Henry Cohn, 2026, needs more optimization.
29 292 0.165173207050 Henry Cohn, 2026, needs more optimization.
29 293 0.165200457250 Henry Cohn, 2026, needs more optimization.
29 294 0.165259174634 Henry Cohn, 2026, needs more optimization.
29 295 0.165290804453 Henry Cohn, 2026, needs more optimization.
29 296 0.165313055995 Henry Cohn, 2026, needs more optimization.
29 297 0.165353020569 Henry Cohn, 2026, needs more optimization.
29 298 0.165401552698 Henry Cohn, 2026, needs more optimization.
29 299 0.165505210702 Henry Cohn, 2026, needs more optimization.
29 300 0.165574631131 Henry Cohn, 2026, needs more optimization.
29 301 0.165633120351 Henry Cohn, 2026, needs more optimization.
29 302 0.165743547752 Henry Cohn, 2026, needs more optimization.
29 303 0.165870650482 Henry Cohn, 2026, needs more optimization.
29 304 0.165920928934 Henry Cohn, 2026, needs more optimization.
29 305 0.166008035174 Henry Cohn, 2026, needs more optimization.
29 306 0.166049930733 Henry Cohn, 2026, needs more optimization.
29 307 0.166177894119 Henry Cohn, 2026, needs more optimization.
29 308 0.166258126360 Henry Cohn, 2026, needs more optimization.
29 309 0.166364027470 Henry Cohn, 2026, needs more optimization.
29 310 0.166453323993 Henry Cohn, 2026, needs more optimization.
29 311 0.166514362820 Henry Cohn, 2026, needs more optimization.
29 312 0.166566754646 Henry Cohn, 2026, needs more optimization.
29 313 0.166579483511 Henry Cohn, 2026, needs more optimization.
29 314 0.166610469327 Henry Cohn, 2026, needs more optimization.
29 315 0.166656332376 Henry Cohn, 2026, needs more optimization.
29 316 0.166666404720 Henry Cohn, 2026, needs more optimization.
29 317 0.166666533238 Henry Cohn, 2026, needs more optimization.
29 318 0.166667788560 Henry Cohn, 2026, needs more optimization.
29 319 0.166672479531 Henry Cohn, 2026, needs more optimization.
29 320 0.166681600809 Henry Cohn, 2026, needs more optimization.
29 321 0.166727610024 Henry Cohn, 2026, needs more optimization.
29 322 0.166796138280 Henry Cohn, 2026, needs more optimization.
29 323 0.166976610622 Henry Cohn, 2026, needs more optimization.
29 324 0.167072334352 Henry Cohn, 2026, needs more optimization.
29 325 0.167143742521 Henry Cohn, 2026, needs more optimization.
29 326 0.167259764760 Henry Cohn, 2026, needs more optimization.
29 327 0.167467706250 Henry Cohn, 2026, needs more optimization.
29 328 0.168174128484 Henry Cohn, 2026, needs more optimization.
29 329 0.168420745646 Henry Cohn, 2026, needs more optimization.
29 330 0.169213476430 Henry Cohn, 2026, needs more optimization.
29 331 0.169551408065 Henry Cohn, 2026, needs more optimization.
29 332 0.171181761927 Henry Cohn, 2026, needs more optimization.
29 333 0.171410237645 Henry Cohn, 2026, needs more optimization.
29 334 0.172668869041 Henry Cohn, 2026, needs more optimization.
29 335 0.172962866002 Henry Cohn, 2026, needs more optimization.
29 336 0.173994895701 Henry Cohn, 2026, needs more optimization.
29 337 0.174793867311 Henry Cohn, 2026, needs more optimization.
29 338 0.175463246413 Henry Cohn, 2026, needs more optimization.
29 339 0.175993330202 Henry Cohn, 2026, needs more optimization.
29 340 0.176342772881 Henry Cohn, 2026, needs more optimization.
29 341 0.177289959695 Henry Cohn, 2026, needs more optimization.
29 342 0.177955303694 Henry Cohn, 2026, needs more optimization.
29 343 0.178587528657 Henry Cohn, 2026, needs more optimization.
29 344 0.178629628146 Henry Cohn, 2026, needs more optimization.
29 345 0.178660695384 Henry Cohn, 2026, needs more optimization.
29 346 0.179080871758 Henry Cohn, 2026, needs more optimization.
29 347 0.179348152068 Henry Cohn, 2026, needs more optimization.
29 348 0.180080071359 Henry Cohn, 2026, needs more optimization.
29 349 0.180293223128 Henry Cohn, 2026, needs more optimization.
29 350 0.180608235958 Henry Cohn, 2026, needs more optimization.
29 351 0.180640587184 Henry Cohn, 2026, needs more optimization.
29 352 0.181038078801 Henry Cohn, 2026, needs more optimization.
29 353 0.181201633228 Henry Cohn, 2026, needs more optimization.
29 354 0.181295572742 Henry Cohn, 2026, needs more optimization.
29 355 0.181388672134 Henry Cohn, 2026, needs more optimization.
29 356 0.181472293999 Henry Cohn, 2026, needs more optimization.
29 357 0.181607289804 Henry Cohn, 2026, needs more optimization.
29 358 0.181680857629 Henry Cohn, 2026, needs more optimization.
29 359 0.181752941697 Henry Cohn, 2026, needs more optimization.
29 360 0.181805997092 Henry Cohn, 2026, needs more optimization.
29 361 0.184940463548 Henry Cohn, 2026, needs more optimization.
29 362 0.185730723291 Henry Cohn, 2026, needs more optimization.
29 363 0.186092791518 Henry Cohn, 2026, needs more optimization.
29 364 0.186267764045 Henry Cohn, 2026, needs more optimization.
29 365 0.186330643034 Henry Cohn, 2026, needs more optimization.
29 366 0.186815845909 Henry Cohn, 2026, needs more optimization.
29 367 0.187168752710 Henry Cohn, 2026, needs more optimization.
29 368 0.188024489630 Henry Cohn, 2026, needs more optimization.
29 369 0.188249748982 Henry Cohn, 2026, needs more optimization.
29 370 0.188594960737 Henry Cohn, 2026, needs more optimization.
29 371 0.188700870572 Henry Cohn, 2026, needs more optimization.
29 372 0.188786507535 Henry Cohn, 2026, needs more optimization.
29 373 0.189118010311 Henry Cohn, 2026, needs more optimization.
29 374 0.189559578374 Henry Cohn, 2026, needs more optimization.
29 375 0.189713108965 Henry Cohn, 2026, needs more optimization.
29 376 0.190337911750 Henry Cohn, 2026, needs more optimization.
29 377 0.190500240928 Henry Cohn, 2026, needs more optimization.
29 378 0.190678039801 Henry Cohn, 2026, needs more optimization.
29 379 0.190825317144 Henry Cohn, 2026, needs more optimization.
29 380 0.190993949791 Henry Cohn, 2026, needs more optimization.
29 381 0.191195028532 Henry Cohn, 2026, needs more optimization.
29 382 0.191293729804 Henry Cohn, 2026, needs more optimization.
29 383 0.191626584910 Henry Cohn, 2026, needs more optimization.
29 384 0.191735891023 Henry Cohn, 2026, needs more optimization.
29 385 0.191892834128 Henry Cohn, 2026, needs more optimization.
29 386 0.192051748660 Henry Cohn, 2026, needs more optimization.
29 387 0.192227781327 Henry Cohn, 2026, needs more optimization.
29 388 0.192391626451 Henry Cohn, 2026, needs more optimization.
29 389 0.193028488758 Henry Cohn, 2026, needs more optimization.
29 390 0.193086351866 Henry Cohn, 2026, needs more optimization.
29 391 0.193386927384 Henry Cohn, 2026, needs more optimization.
29 392 0.193705012828 Henry Cohn, 2026, needs more optimization.
29 393 0.194018198082 Henry Cohn, 2026, needs more optimization.
29 394 0.194110963188 Henry Cohn, 2026, needs more optimization.
29 395 0.194378062557 Henry Cohn, 2026, needs more optimization.
29 396 0.194605906787 Henry Cohn, 2026, needs more optimization.
29 451 0.194630872484 Henry Cohn, 2026, needs more optimization.
149⁢x−29
29 452 0.196848794833 Henry Cohn, 2026, needs more optimization.
29 453 0.199420023879 Henry Cohn, 2026, needs more optimization.
29 454 0.199438434019 Henry Cohn, 2026, needs more optimization.
29 456 0.199456243600 Henry Cohn, 2026, needs more optimization.
29 459 0.199487282311 Henry Cohn, 2026, needs more optimization.
29 460 0.199552879083 Henry Cohn, 2026, needs more optimization.
29 461 0.199563993671 Henry Cohn, 2026, needs more optimization.
29 462 0.199615431080 Henry Cohn, 2026, needs more optimization.
29 463 0.199675971837 Henry Cohn, 2026, needs more optimization.
29 464 0.199681133967 Henry Cohn, 2026, needs more optimization.
29 469 0.199696006041 Henry Cohn, 2026, needs more optimization.
29 470 0.199698908936 Henry Cohn, 2026, needs more optimization.
29 471 0.199733843674 Henry Cohn, 2026, needs more optimization.
29 472 0.199748418709 Henry Cohn, 2026, needs more optimization.
29 474 0.199751561085 Henry Cohn, 2026, needs more optimization.
29 475 0.199779471040 Henry Cohn, 2026, needs more optimization.
29 476 0.199789732707 Henry Cohn, 2026, needs more optimization.
29 477 0.199800848732 Henry Cohn, 2026, needs more optimization.
29 479 0.199820166734 Henry Cohn, 2026, needs more optimization.
29 480 0.199827484413 Henry Cohn, 2026, needs more optimization.
29 481 0.199832082424 Henry Cohn, 2026, needs more optimization.
29 482 0.199834253646 Henry Cohn, 2026, needs more optimization.
29 483 0.199835704011 Henry Cohn, 2026, needs more optimization.
29 484 0.199850270116 Henry Cohn, 2026, needs more optimization.
29 485 0.199871259571 Henry Cohn, 2026, needs more optimization.
29 486 0.199873817750 Henry Cohn, 2026, needs more optimization.
29 487 0.199913495443 Henry Cohn, 2026, needs more optimization.
29 488 0.199924367649 Henry Cohn, 2026, needs more optimization.
29 490 0.199932108085 Henry Cohn, 2026, needs more optimization.
29 491 0.199945064238 Henry Cohn, 2026, needs more optimization.
29 495 0.199962130881 Henry Cohn, 2026, needs more optimization.
29 496 0.199985100134 Henry Cohn, 2026, needs more optimization.
29 576 0.2 Henry Cohn, 2026.
5⁢x−1
29 579 0.200028290514 Henry Cohn, 2026, needs more optimization.
29 580 0.200028762450 Henry Cohn, 2026, needs more optimization.
29 587 0.200036026375 Henry Cohn, 2026, needs more optimization.
29 592 0.200043468600 Henry Cohn, 2026, needs more optimization.
29 593 0.200052765220 Henry Cohn, 2026, needs more optimization.
29 595 0.200054443460 Henry Cohn, 2026, needs more optimization.
29 597 0.200056588283 Henry Cohn, 2026, needs more optimization.
29 600 0.200089812672 Henry Cohn, 2026, needs more optimization.
29 601 0.200135539988 Henry Cohn, 2026, needs more optimization.
29 602 0.200163414798 Henry Cohn, 2026, needs more optimization.
29 603 0.200602863024 Henry Cohn, 2026, needs more optimization.
29 611 0.236184480309 Henry Cohn, 2026, needs more optimization.
29 623 0.236561301612 Henry Cohn, 2026, needs more optimization.
29 633 0.237307707855 Henry Cohn, 2026, needs more optimization.
29 640 0.237835660153 Henry Cohn, 2026, needs more optimization.
29 658 0.237889258540 Henry Cohn, 2026, needs more optimization.
29 667 0.238045602006 Henry Cohn, 2026, needs more optimization.
29 669 0.238057383907 Henry Cohn, 2026, needs more optimization.
29 675 0.238060403842 Henry Cohn, 2026, needs more optimization.
29 685 0.238062313020 Henry Cohn, 2026, needs more optimization.
29 688 0.238105498857 Henry Cohn, 2026, needs more optimization.
29 692 0.238105562927 Henry Cohn, 2026, needs more optimization.
29 696 0.238121990379 Henry Cohn, 2026, needs more optimization.
29 698 0.238141520857 Henry Cohn, 2026, needs more optimization.
29 701 0.238167955673 Henry Cohn, 2026, needs more optimization.
29 705 0.238215883192 Henry Cohn, 2026, needs more optimization.
29 707 0.238218576743 Henry Cohn, 2026, needs more optimization.
29 709 0.238263426581 Henry Cohn, 2026, needs more optimization.
29 711 0.238267458372 Henry Cohn, 2026, needs more optimization.
29 712 0.238357967675 Henry Cohn, 2026, needs more optimization.
29 713 0.238487543449 Henry Cohn, 2026, needs more optimization.
29 714 0.238488039409 Henry Cohn, 2026, needs more optimization.
29 716 0.238506378537 Henry Cohn, 2026, needs more optimization.
29 718 0.238648326583 Henry Cohn, 2026, needs more optimization.
29 721 0.242668293559 Henry Cohn, 2026, needs more optimization.
29 724 0.242764459433 Henry Cohn, 2026, needs more optimization.
29 725 0.243007241074 Henry Cohn, 2026, needs more optimization.
29 728 0.243024798760 Henry Cohn, 2026, needs more optimization.
29 729 0.243120607807 Henry Cohn, 2026, needs more optimization.
29 731 0.243300159746 Henry Cohn, 2026, needs more optimization.
29 738 0.243340289121 Henry Cohn, 2026, needs more optimization.
29 739 0.243451297417 Henry Cohn, 2026, needs more optimization.
29 741 0.243543919605 Henry Cohn, 2026, needs more optimization.
29 746 0.243572408768 Henry Cohn, 2026, needs more optimization.
29 749 0.243771907809 Henry Cohn, 2026, needs more optimization.
29 751 0.244090006169 Henry Cohn, 2026, needs more optimization.
29 752 0.244212870189 Henry Cohn, 2026, needs more optimization.
29 753 0.244254375967 Henry Cohn, 2026, needs more optimization.
29 754 0.244350418636 Henry Cohn, 2026, needs more optimization.
29 755 0.244439998867 Henry Cohn, 2026, needs more optimization.
29 756 0.244569876848 Henry Cohn, 2026, needs more optimization.
29 758 0.244601040681 Henry Cohn, 2026, needs more optimization.
29 760 0.244745841039 Henry Cohn, 2026, needs more optimization.
29 763 0.244946032396 Henry Cohn, 2026, needs more optimization.
29 764 0.245004496687 Henry Cohn, 2026, needs more optimization.
29 765 0.245179408284 Henry Cohn, 2026, needs more optimization.
29 767 0.245309544696 Henry Cohn, 2026, needs more optimization.
29 768 0.245372532950 Henry Cohn, 2026, needs more optimization.
29 770 0.245483950627 Henry Cohn, 2026, needs more optimization.
29 771 0.245580324491 Henry Cohn, 2026, needs more optimization.
29 772 0.245733082172 Henry Cohn, 2026, needs more optimization.
29 773 0.245760297424 Henry Cohn, 2026, needs more optimization.
29 774 0.245938729624 Henry Cohn, 2026, needs more optimization.
29 775 0.245985609828 Henry Cohn, 2026, needs more optimization.
29 776 0.246102609502 Henry Cohn, 2026, needs more optimization.
29 777 0.246309988679 Henry Cohn, 2026, needs more optimization.
29 780 0.246358108878 Henry Cohn, 2026, needs more optimization.
29 782 0.246465778400 Henry Cohn, 2026, needs more optimization.
29 783 0.246536707879 Henry Cohn, 2026, needs more optimization.
29 784 0.246661849594 Henry Cohn, 2026, needs more optimization.
29 785 0.246691681103 Henry Cohn, 2026, needs more optimization.
29 786 0.246718871134 Henry Cohn, 2026, needs more optimization.
29 787 0.246780528952 Henry Cohn, 2026, needs more optimization.
29 789 0.246839407875 Henry Cohn, 2026, needs more optimization.
29 790 0.246946785289 Henry Cohn, 2026, needs more optimization.
29 793 0.247087880679 Henry Cohn, 2026, needs more optimization.
29 794 0.247207144290 Henry Cohn, 2026, needs more optimization.
29 795 0.247291624803 Henry Cohn, 2026, needs more optimization.
29 796 0.247308313176 Henry Cohn, 2026, needs more optimization.
29 797 0.247400992443 Henry Cohn, 2026, needs more optimization.
29 798 0.247438587917 Henry Cohn, 2026, needs more optimization.
29 799 0.247519619741 Henry Cohn, 2026, needs more optimization.
29 800 0.247523069589 Henry Cohn, 2026, needs more optimization.
29 801 0.247537444502 Henry Cohn, 2026, needs more optimization.
29 802 0.247631934036 Henry Cohn, 2026, needs more optimization.
29 803 0.247714998917 Henry Cohn, 2026, needs more optimization.
29 804 0.247778301896 Henry Cohn, 2026, needs more optimization.
29 806 0.247871618434 Henry Cohn, 2026, needs more optimization.
29 807 0.248043262106 Henry Cohn, 2026, needs more optimization.
29 808 0.248091538309 Henry Cohn, 2026, needs more optimization.
29 809 0.248104246935 Henry Cohn, 2026, needs more optimization.
29 810 0.248158304746 Henry Cohn, 2026, needs more optimization.
29 811 0.248200162727 Henry Cohn, 2026, needs more optimization.
29 814 0.248319873112 Henry Cohn, 2026, needs more optimization.
29 816 0.248412521345 Henry Cohn, 2026, needs more optimization.
29 817 0.248470412201 Henry Cohn, 2026, needs more optimization.
29 818 0.248510987747 Henry Cohn, 2026, needs more optimization.
29 819 0.248574915560 Henry Cohn, 2026, needs more optimization.
29 821 0.248613106664 Henry Cohn, 2026, needs more optimization.
29 822 0.248663514266 Henry Cohn, 2026, needs more optimization.
29 823 0.248725709708 Henry Cohn, 2026, needs more optimization.
29 826 0.248755203307 Henry Cohn, 2026, needs more optimization.
29 827 0.248828944702 Henry Cohn, 2026, needs more optimization.
29 831 0.248884445237 Henry Cohn, 2026, needs more optimization.
29 832 0.248909617883 Henry Cohn, 2026, needs more optimization.
29 834 0.248986445639 Henry Cohn, 2026, needs more optimization.
29 835 0.249060155074 Henry Cohn, 2026, needs more optimization.
29 836 0.249089691306 Henry Cohn, 2026, needs more optimization.
29 837 0.249136994594 Henry Cohn, 2026, needs more optimization.
29 841 0.249138443628 Henry Cohn, 2026, needs more optimization.
29 843 0.249176303870 Henry Cohn, 2026, needs more optimization.
29 846 0.249221636354 Henry Cohn, 2026, needs more optimization.
29 847 0.249282754503 Henry Cohn, 2026, needs more optimization.
29 848 0.249326664717 Henry Cohn, 2026, needs more optimization.
29 850 0.249351556533 Henry Cohn, 2026, needs more optimization.
29 851 0.249427059437 Henry Cohn, 2026, needs more optimization.
29 852 0.249437453771 Henry Cohn, 2026, needs more optimization.
29 854 0.249453584821 Henry Cohn, 2026, needs more optimization.
29 855 0.249505533122 Henry Cohn, 2026, needs more optimization.
29 857 0.249538510794 Henry Cohn, 2026, needs more optimization.
29 858 0.249551527158 Henry Cohn, 2026, needs more optimization.
29 859 0.249568929188 Henry Cohn, 2026, needs more optimization.
29 860 0.249580310945 Henry Cohn, 2026, needs more optimization.
29 861 0.249596217650 Henry Cohn, 2026, needs more optimization.
29 863 0.249622362688 Henry Cohn, 2026, needs more optimization.
29 865 0.249630924592 Henry Cohn, 2026, needs more optimization.
29 868 0.249635743969 Henry Cohn, 2026, needs more optimization.
29 869 0.249677025604 Henry Cohn, 2026, needs more optimization.
29 870 0.249678121981 Henry Cohn, 2026, needs more optimization.
29 873 0.249685180358 Henry Cohn, 2026, needs more optimization.
29 879 0.249685185054 Henry Cohn, 2026, needs more optimization.
29 882 0.249724124339 Henry Cohn, 2026, needs more optimization.
29 884 0.249751988984 Henry Cohn, 2026, needs more optimization.
29 885 0.249759027101 Henry Cohn, 2026, needs more optimization.
29 892 0.249799592393 Henry Cohn, 2026, needs more optimization.
29 897 0.249829437619 Henry Cohn, 2026, needs more optimization.
29 899 0.249847240619 Henry Cohn, 2026, needs more optimization.
29 901 0.249856463045 Henry Cohn, 2026, needs more optimization.
29 903 0.249860391781 Henry Cohn, 2026, needs more optimization.
29 905 0.249914486252 Henry Cohn, 2026, needs more optimization.
29 978 0.25 Orthogonal union of 976 points in 28 dimensions and 2 points in 1 dimension.
4⁢x−1
29 982 0.250000621829 Henry Cohn, 2026, needs more optimization.
29 984 0.250000639625 Henry Cohn, 2026, needs more optimization.
29 988 0.250000724827 Henry Cohn, 2026, needs more optimization.
29 991 0.250000894516 Henry Cohn, 2026, needs more optimization.
29 993 0.250001547245 Henry Cohn, 2026, needs more optimization.
29 995 0.250001735201 Henry Cohn, 2026, needs more optimization.
29 999 0.250001754626 Henry Cohn, 2026, needs more optimization.
29 1000 0.250001979762 Henry Cohn, 2026, needs more optimization.
29 1006 0.250002293839 Henry Cohn, 2026, needs more optimization.
29 1019 0.250249330416 Henry Cohn, 2026, needs more optimization.
29 1020 0.250356342029 Henry Cohn, 2026, needs more optimization.
29 1023 0.250451354815 Henry Cohn, 2026, needs more optimization.
29 1024 0.252118926509 Henry Cohn, 2026, needs more optimization.
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 0.031274698397 Henry Cohn, 2026.
30 63 0.037893320316 Henry Cohn, 2026.
30 64 0.038348157236 Henry Cohn, 2026.
30 65 0.038479664975 Henry Cohn, 2026.
30 66 0.042555781938 Henry Cohn, 2026, needs more optimization.
30 67 0.043933350442 Henry Cohn, 2026, needs more optimization.
30 68 0.044556632069 Henry Cohn, 2026, needs more optimization.
30 69 0.044563815759 Henry Cohn, 2026, needs more optimization.
30 70 0.044757397041 Henry Cohn, 2026.
30 71 0.049847164675 Henry Cohn, 2026.
30 72 0.051259526089 Henry Cohn, 2026, needs more optimization.
30 73 0.052421740293 Henry Cohn, 2026, needs more optimization.
30 74 0.054131831062 Henry Cohn, 2026, needs more optimization.
30 75 0.056243919645 Henry Cohn, 2026, needs more optimization.
30 76 0.057552662592 Henry Cohn, 2026, needs more optimization.
30 77 0.059053180125 Henry Cohn, 2026, needs more optimization.
30 78 0.060498966176 Henry Cohn, 2026, needs more optimization.
30 79 0.062140014437 Henry Cohn, 2026, needs more optimization.
30 80 0.062598281088 Henry Cohn, 2026, needs more optimization.
30 81 0.062840662714 Henry Cohn, 2026, needs more optimization.
30 82 0.064290492948 Henry Cohn, 2026, needs more optimization.
30 83 0.065112988237 Henry Cohn, 2026, needs more optimization.
30 84 0.066460260059 Henry Cohn, 2026, needs more optimization.
30 85 0.068030499993 Henry Cohn, 2026, needs more optimization.
30 86 0.069489198711 Henry Cohn, 2026, needs more optimization.
30 87 0.070938522143 Henry Cohn, 2026, needs more optimization.
30 88 0.072505464092 Henry Cohn, 2026, needs more optimization.
30 89 0.073901964498 Henry Cohn, 2026, needs more optimization.
30 90 0.074431580844 Henry Cohn, 2026, needs more optimization.
30 91 0.075429099944 Henry Cohn, 2026, needs more optimization.
30 92 0.076276608709 Henry Cohn, 2026, needs more optimization.
30 93 0.076899852995 Henry Cohn, 2026, needs more optimization.
30 94 0.076905065683 Henry Cohn, 2026, needs more optimization.
30 95 0.076937702928 Henry Cohn, 2026, needs more optimization.
30 96 0.077028830974 Henry Cohn, 2026, needs more optimization.
30 97 0.077180806813 Henry Cohn, 2026, needs more optimization.
30 98 0.077277068549 Henry Cohn, 2026, needs more optimization.
30 99 0.077386848172 Henry Cohn, 2026, needs more optimization.
30 100 0.077770052790 Henry Cohn, 2026, needs more optimization.
30 101 0.077937541626 Henry Cohn, 2026, needs more optimization.
30 102 0.078190119620 Henry Cohn, 2026, needs more optimization.
30 103 0.078825031315 Henry Cohn, 2026, needs more optimization.
30 104 0.079148120813 Henry Cohn, 2026, needs more optimization.
30 105 0.079631984215 Henry Cohn, 2026, needs more optimization.
30 106 0.080491310066 Henry Cohn, 2026, needs more optimization.
30 107 0.080667019097 Henry Cohn, 2026, needs more optimization.
30 108 0.080814373233 Henry Cohn, 2026, needs more optimization.
30 109 0.081524428652 Henry Cohn, 2026, needs more optimization.
30 110 0.082137983873 Henry Cohn, 2026, needs more optimization.
30 111 0.082309250503 Henry Cohn, 2026, needs more optimization.
30 112 0.083254192355 Henry Cohn, 2026, needs more optimization.
30 113 0.085191539167 Henry Cohn, 2026, needs more optimization.
30 114 0.086333380579 Orthogonal union of 112 points in 29 dimensions and 2 points in 1 dimension.
111⁢x2+2⁢x−1
30 115 0.087993488209 Henry Cohn, 2026, needs more optimization.
30 116 0.088188851441 Henry Cohn, 2026, needs more optimization.
30 117 0.088552613743 Henry Cohn, 2026, needs more optimization.
30 118 0.089022485384 Henry Cohn, 2026, needs more optimization.
30 119 0.089392923339 Henry Cohn, 2026, needs more optimization.
30 120 0.089821344667 Henry Cohn, 2026, needs more optimization.
30 121 0.090075006989 Henry Cohn, 2026, needs more optimization.
30 122 0.090367378081 Henry Cohn, 2026, needs more optimization.
30 123 0.090523748851 Henry Cohn, 2026, needs more optimization.
30 124 0.090790891859 Henry Cohn, 2026, needs more optimization.
30 125 0.091028750422 Henry Cohn, 2026, needs more optimization.
30 126 0.091624817005 Henry Cohn, 2026, needs more optimization.
30 127 0.092702729313 Henry Cohn, 2026, needs more optimization.
30 128 0.094011097770 Henry Cohn, 2026, needs more optimization.
30 129 0.095273918185 Henry Cohn, 2026, needs more optimization.
30 130 0.097302108081 Henry Cohn, 2026, needs more optimization.
30 131 0.098512387987 Henry Cohn, 2026, needs more optimization.
30 132 0.099549074965 Henry Cohn, 2026, needs more optimization.
30 133 0.100627373644 Henry Cohn, 2026, needs more optimization.
30 134 0.102005780605 Henry Cohn, 2026, needs more optimization.
30 135 0.102542681986 Henry Cohn, 2026, needs more optimization.
30 136 0.102554222719 Henry Cohn, 2026, needs more optimization.
30 137 0.102576170200 Henry Cohn, 2026, needs more optimization.
30 138 0.102582650910 Henry Cohn, 2026, needs more optimization.
30 139 0.102619157638 Henry Cohn, 2026, needs more optimization.
30 140 0.102659301309 Henry Cohn, 2026, needs more optimization.
30 141 0.102673368266 Henry Cohn, 2026, needs more optimization.
30 142 0.103748732665 Henry Cohn, 2026, needs more optimization.
30 143 0.105327069899 Henry Cohn, 2026, needs more optimization.
30 144 0.106167960657 Henry Cohn, 2026, needs more optimization.
30 145 0.107203602588 Henry Cohn, 2026, needs more optimization.
30 146 0.108228507540 Henry Cohn, 2026, needs more optimization.
30 147 0.108928241840 Henry Cohn, 2026, needs more optimization.
30 148 0.109291334792 Henry Cohn, 2026, needs more optimization.
30 149 0.109890878850 Henry Cohn, 2026, needs more optimization.
30 150 0.110412128424 Henry Cohn, 2026, needs more optimization.
30 151 0.110744160769 Henry Cohn, 2026, needs more optimization.
30 154 0.111111111112 Orthogonal union of 150 points in 28 dimensions and 4 points in 2 dimensions.
9⁢x−1
30 155 0.111111802307 Orthogonal union of 153 points in 29 dimensions and 2 points in 1 dimension.
30 156 0.111112414475 Henry Cohn, 2026, needs more optimization.
30 157 0.111115169641 Henry Cohn, 2026, needs more optimization.
30 158 0.111125970421 Henry Cohn, 2026, needs more optimization.
30 159 0.113001608756 Henry Cohn, 2026, needs more optimization.
30 160 0.114151806435 Henry Cohn, 2026, needs more optimization.
30 161 0.115901696663 Henry Cohn, 2026, needs more optimization.
30 162 0.117713265933 Henry Cohn, 2026, needs more optimization.
30 163 0.119007660631 Henry Cohn, 2026, needs more optimization.
30 164 0.120353663534 Henry Cohn, 2026, needs more optimization.
30 165 0.121287191209 Henry Cohn, 2026, needs more optimization.
30 166 0.121847550537 Henry Cohn, 2026, needs more optimization.
30 167 0.122271985676 Henry Cohn, 2026, needs more optimization.
30 168 0.123176665939 Henry Cohn, 2026, needs more optimization.
30 169 0.123671783576 Henry Cohn, 2026, needs more optimization.
30 170 0.125620322576 Henry Cohn, 2026, needs more optimization.
30 171 0.127785020266 Henry Cohn, 2026, needs more optimization.
30 186 0.128238684469 Orthogonal union of 182 points in 28 dimensions and 4 points in 2 dimensions.
92⁢x2−4⁢x−1
30 187 0.128240955668 Henry Cohn, 2026, needs more optimization.
30 188 0.128254589657 Henry Cohn, 2026, needs more optimization.
30 189 0.128502867271 Henry Cohn, 2026, needs more optimization.
30 190 0.129255377472 Henry Cohn, 2026, needs more optimization.
30 191 0.130367300133 Henry Cohn, 2026, needs more optimization.
30 192 0.132210131603 Henry Cohn, 2026, needs more optimization.
30 193 0.133625887619 Henry Cohn, 2026, needs more optimization.
30 194 0.135105613054 Henry Cohn, 2026, needs more optimization.
30 195 0.136218114821 Henry Cohn, 2026, needs more optimization.
30 196 0.137592707374 Henry Cohn, 2026, needs more optimization.
30 197 0.137965894920 Henry Cohn, 2026, needs more optimization.
30 198 0.138517739496 Henry Cohn, 2026, needs more optimization.
30 199 0.139406147392 Henry Cohn, 2026, needs more optimization.
30 200 0.140310314368 Henry Cohn, 2026, needs more optimization.
30 201 0.141158085024 Henry Cohn, 2026, needs more optimization.
30 202 0.141185128703 Henry Cohn, 2026, needs more optimization.
30 203 0.141280361936 Henry Cohn, 2026, needs more optimization.
30 204 0.141306217442 Henry Cohn, 2026, needs more optimization.
30 205 0.141407309101 Henry Cohn, 2026, needs more optimization.
30 206 0.141523126791 Henry Cohn, 2026, needs more optimization.
30 207 0.141571651618 Henry Cohn, 2026, needs more optimization.
30 208 0.141645555176 Henry Cohn, 2026, needs more optimization.
30 209 0.141837625195 Henry Cohn, 2026, needs more optimization.
30 210 0.141994002674 Henry Cohn, 2026, needs more optimization.
30 211 0.142202378151 Henry Cohn, 2026, needs more optimization.
30 212 0.142298396125 Henry Cohn, 2026, needs more optimization.
30 213 0.142299883125 Henry Cohn, 2026, needs more optimization.
30 214 0.142369360955 Henry Cohn, 2026, needs more optimization.
30 215 0.142512627930 Henry Cohn, 2026, needs more optimization.
30 216 0.142827784757 Henry Cohn, 2026, needs more optimization.
30 217 0.142871423957 Henry Cohn, 2026, needs more optimization.
30 218 0.143128476635 Henry Cohn, 2026, needs more optimization.
30 219 0.143711246788 Henry Cohn, 2026, needs more optimization.
30 220 0.143960995079 Henry Cohn, 2026, needs more optimization.
30 221 0.144389951345 Henry Cohn, 2026, needs more optimization.
30 222 0.144505708968 Henry Cohn, 2026, needs more optimization.
30 223 0.144863161347 Henry Cohn, 2026, needs more optimization.
30 224 0.144985241112 Henry Cohn, 2026, needs more optimization.
30 225 0.145274270573 Henry Cohn, 2026, needs more optimization.
30 226 0.145427849944 Henry Cohn, 2026, needs more optimization.
30 227 0.145577061985 Henry Cohn, 2026, needs more optimization.
30 228 0.145977717656 Henry Cohn, 2026, needs more optimization.
30 229 0.146443058355 Henry Cohn, 2026, needs more optimization.
30 230 0.146501068867 Henry Cohn, 2026, needs more optimization.
30 231 0.146641623086 Henry Cohn, 2026, needs more optimization.
30 232 0.146759192591 Henry Cohn, 2026, needs more optimization.
30 233 0.146933450874 Henry Cohn, 2026, needs more optimization.
30 234 0.147044137338 Henry Cohn, 2026, needs more optimization.
30 235 0.147093133034 Henry Cohn, 2026, needs more optimization.
30 237 0.147102976680 Orthogonal union of 235 points in 29 dimensions and 2 points in 1 dimension.
87⁢x2−6⁢x−1
30 238 0.147108351526 Henry Cohn, 2026, needs more optimization.
30 239 0.147113023571 Henry Cohn, 2026, needs more optimization.
30 240 0.147152018251 Henry Cohn, 2026, needs more optimization.
30 241 0.147157873132 Henry Cohn, 2026, needs more optimization.
30 242 0.147844134869 Henry Cohn, 2026, needs more optimization.
30 243 0.147845139550 Henry Cohn, 2026, needs more optimization.
30 244 0.147882370546 Henry Cohn, 2026, needs more optimization.
30 245 0.147882727271 Henry Cohn, 2026, needs more optimization.
30 246 0.147941457238 Henry Cohn, 2026, needs more optimization.
30 247 0.147941460639 Henry Cohn, 2026, needs more optimization.
30 248 0.147981543268 Henry Cohn, 2026, needs more optimization.
30 249 0.147987349737 Henry Cohn, 2026, needs more optimization.
30 250 0.148006356789 Henry Cohn, 2026, needs more optimization.
30 251 0.148136342404 Henry Cohn, 2026, needs more optimization.
30 252 0.148332862209 Henry Cohn, 2026, needs more optimization.
30 253 0.148509353202 Henry Cohn, 2026, needs more optimization.
30 254 0.149107920508 Henry Cohn, 2026, needs more optimization.
30 255 0.149595619015 Henry Cohn, 2026, needs more optimization.
30 256 0.150368386692 Henry Cohn, 2026, needs more optimization.
30 257 0.150717801449 Henry Cohn, 2026, needs more optimization.
30 258 0.150918198169 Henry Cohn, 2026, needs more optimization.
30 259 0.151551223073 Henry Cohn, 2026, needs more optimization.
30 260 0.152184932422 Henry Cohn, 2026, needs more optimization.
30 261 0.153138758620 Henry Cohn, 2026, needs more optimization.
30 262 0.153650083926 Henry Cohn, 2026, needs more optimization.
30 263 0.154874726074 Henry Cohn, 2026, needs more optimization.
30 264 0.154895604385 Henry Cohn, 2026, needs more optimization.
30 265 0.155664006142 Henry Cohn, 2026, needs more optimization.
30 266 0.156517935341 Henry Cohn, 2026, needs more optimization.
30 267 0.157046964370 Henry Cohn, 2026, needs more optimization.
30 268 0.157572533262 Henry Cohn, 2026, needs more optimization.
30 269 0.158237070331 Henry Cohn, 2026, needs more optimization.
30 270 0.158969313991 Henry Cohn, 2026, needs more optimization.
30 271 0.159573161152 Henry Cohn, 2026, needs more optimization.
30 272 0.160238048213 Henry Cohn, 2026, needs more optimization.
30 273 0.161115172454 Henry Cohn, 2026, needs more optimization.
30 274 0.161520955908 Henry Cohn, 2026, needs more optimization.
30 275 0.161797268428 Henry Cohn, 2026, needs more optimization.
30 276 0.161840675222 Henry Cohn, 2026, needs more optimization.
30 277 0.161854538791 Henry Cohn, 2026, needs more optimization.
30 278 0.161893573936 Henry Cohn, 2026, needs more optimization.
30 279 0.161900544480 Henry Cohn, 2026, needs more optimization.
30 280 0.161916927655 Henry Cohn, 2026, needs more optimization.
30 281 0.161984975123 Henry Cohn, 2026, needs more optimization.
30 282 0.162021272182 Henry Cohn, 2026, needs more optimization.
30 283 0.162125275959 Henry Cohn, 2026, needs more optimization.
30 284 0.162330453752 Henry Cohn, 2026, needs more optimization.
30 285 0.162391869100 Henry Cohn, 2026, needs more optimization.
30 286 0.162531985825 Henry Cohn, 2026, needs more optimization.
30 287 0.162787928319 Henry Cohn, 2026, needs more optimization.
30 288 0.162895179935 Henry Cohn, 2026, needs more optimization.
30 289 0.163012477181 Henry Cohn, 2026, needs more optimization.
30 290 0.163071982134 Henry Cohn, 2026, needs more optimization.
30 291 0.163200809249 Henry Cohn, 2026, needs more optimization.
30 292 0.163351503701 Henry Cohn, 2026, needs more optimization.
30 293 0.163381308827 Henry Cohn, 2026, needs more optimization.
30 294 0.163474152991 Henry Cohn, 2026, needs more optimization.
30 295 0.163597009298 Henry Cohn, 2026, needs more optimization.
30 296 0.163653029894 Henry Cohn, 2026, needs more optimization.
30 297 0.163709842883 Henry Cohn, 2026, needs more optimization.
30 298 0.163762211772 Henry Cohn, 2026, needs more optimization.
30 299 0.163877254831 Henry Cohn, 2026, needs more optimization.
30 300 0.163945236551 Henry Cohn, 2026, needs more optimization.
30 301 0.164057632590 Henry Cohn, 2026, needs more optimization.
30 302 0.164195728914 Henry Cohn, 2026, needs more optimization.
30 303 0.164443296018 Henry Cohn, 2026, needs more optimization.
30 304 0.164579498995 Henry Cohn, 2026, needs more optimization.
30 305 0.164736462023 Henry Cohn, 2026, needs more optimization.
30 306 0.164801579812 Henry Cohn, 2026, needs more optimization.
30 307 0.164846282648 Henry Cohn, 2026, needs more optimization.
30 308 0.165013206891 Henry Cohn, 2026, needs more optimization.
30 309 0.165145449996 Henry Cohn, 2026, needs more optimization.
30 310 0.165155973630 Henry Cohn, 2026, needs more optimization.
30 311 0.165231156519 Henry Cohn, 2026, needs more optimization.
30 312 0.165294271564 Henry Cohn, 2026, needs more optimization.
30 313 0.165332501586 Henry Cohn, 2026, needs more optimization.
30 314 0.165402795317 Henry Cohn, 2026, needs more optimization.
30 315 0.165509021869 Henry Cohn, 2026, needs more optimization.
30 316 0.165626655833 Henry Cohn, 2026, needs more optimization.
30 317 0.165714734827 Henry Cohn, 2026, needs more optimization.
30 318 0.165827799969 Henry Cohn, 2026, needs more optimization.
30 319 0.165900226668 Henry Cohn, 2026, needs more optimization.
30 320 0.165950628561 Henry Cohn, 2026, needs more optimization.
30 321 0.166088724045 Henry Cohn, 2026, needs more optimization.
30 322 0.166225902056 Henry Cohn, 2026, needs more optimization.
30 323 0.166324247000 Henry Cohn, 2026, needs more optimization.
30 324 0.166388414183 Henry Cohn, 2026, needs more optimization.
30 325 0.166496029823 Henry Cohn, 2026, needs more optimization.
30 326 0.166580149096 Henry Cohn, 2026, needs more optimization.
30 327 0.166623080915 Henry Cohn, 2026, needs more optimization.
30 328 0.166625650009 Henry Cohn, 2026, needs more optimization.
30 329 0.166643034370 Henry Cohn, 2026, needs more optimization.
30 330 0.166649533660 Henry Cohn, 2026, needs more optimization.
30 331 0.166668652948 Henry Cohn, 2026, needs more optimization.
30 332 0.166711958855 Henry Cohn, 2026, needs more optimization.
30 333 0.166835781214 Henry Cohn, 2026, needs more optimization.
30 334 0.166844960314 Henry Cohn, 2026, needs more optimization.
30 335 0.166903997636 Henry Cohn, 2026, needs more optimization.
30 336 0.167090797058 Henry Cohn, 2026, needs more optimization.
30 337 0.167222615208 Henry Cohn, 2026, needs more optimization.
30 338 0.167297307018 Henry Cohn, 2026, needs more optimization.
30 339 0.167407591076 Henry Cohn, 2026, needs more optimization.
30 340 0.167940893488 Henry Cohn, 2026, needs more optimization.
30 341 0.168349422492 Henry Cohn, 2026, needs more optimization.
30 342 0.168420311567 Henry Cohn, 2026, needs more optimization.
30 343 0.169820755272 Henry Cohn, 2026, needs more optimization.
30 344 0.170417269865 Henry Cohn, 2026, needs more optimization.
30 345 0.171364554756 Henry Cohn, 2026, needs more optimization.
30 346 0.171791499475 Henry Cohn, 2026, needs more optimization.
30 347 0.172689760719 Henry Cohn, 2026, needs more optimization.
30 348 0.172847581474 Henry Cohn, 2026, needs more optimization.
30 349 0.174075878661 Henry Cohn, 2026, needs more optimization.
30 350 0.174794974621 Henry Cohn, 2026, needs more optimization.
30 351 0.174898193522 Henry Cohn, 2026, needs more optimization.
30 352 0.175948797078 Henry Cohn, 2026, needs more optimization.
30 353 0.176559686414 Henry Cohn, 2026, needs more optimization.
30 354 0.177134354802 Henry Cohn, 2026, needs more optimization.
30 355 0.177692670379 Henry Cohn, 2026, needs more optimization.
30 356 0.178414306693 Henry Cohn, 2026, needs more optimization.
30 357 0.178802660343 Henry Cohn, 2026, needs more optimization.
30 358 0.179339749234 Henry Cohn, 2026, needs more optimization.
30 359 0.180072971999 Henry Cohn, 2026, needs more optimization.
30 360 0.180477115046 Henry Cohn, 2026, needs more optimization.
30 361 0.180779811395 Henry Cohn, 2026, needs more optimization.
30 362 0.181215025487 Henry Cohn, 2026, needs more optimization.
30 363 0.181545872580 Henry Cohn, 2026, needs more optimization.
30 364 0.182608464402 Henry Cohn, 2026, needs more optimization.
30 365 0.182678111289 Henry Cohn, 2026, needs more optimization.
30 366 0.182977308514 Henry Cohn, 2026, needs more optimization.
30 367 0.183080269698 Henry Cohn, 2026, needs more optimization.
30 368 0.183333365413 Henry Cohn, 2026, needs more optimization.
30 369 0.183522517923 Henry Cohn, 2026, needs more optimization.
30 371 0.185253874359 Henry Cohn, 2026, needs more optimization.
30 372 0.185616349731 Henry Cohn, 2026, needs more optimization.
30 373 0.185909538693 Henry Cohn, 2026, needs more optimization.
30 374 0.186700623973 Henry Cohn, 2026, needs more optimization.
30 375 0.186866978888 Henry Cohn, 2026, needs more optimization.
30 376 0.186986484166 Henry Cohn, 2026, needs more optimization.
30 377 0.187130364141 Henry Cohn, 2026, needs more optimization.
30 378 0.187169417283 Henry Cohn, 2026, needs more optimization.
30 379 0.187307975094 Henry Cohn, 2026, needs more optimization.
30 380 0.187364250548 Henry Cohn, 2026, needs more optimization.
30 381 0.187375095138 Henry Cohn, 2026, needs more optimization.
30 382 0.187390724373 Henry Cohn, 2026, needs more optimization.
30 383 0.187564086927 Henry Cohn, 2026, needs more optimization.
30 384 0.187905077593 Henry Cohn, 2026, needs more optimization.
30 385 0.188063967209 Henry Cohn, 2026, needs more optimization.
30 386 0.188068144746 Henry Cohn, 2026, needs more optimization.
30 387 0.188074263113 Henry Cohn, 2026, needs more optimization.
30 388 0.188698080934 Henry Cohn, 2026, needs more optimization.
30 389 0.188758300884 Henry Cohn, 2026, needs more optimization.
30 390 0.188828953173 Henry Cohn, 2026, needs more optimization.
30 391 0.189108843361 Henry Cohn, 2026, needs more optimization.
30 392 0.189179634983 Henry Cohn, 2026, needs more optimization.
30 393 0.189562311105 Henry Cohn, 2026, needs more optimization.
30 394 0.189681604508 Henry Cohn, 2026, needs more optimization.
30 395 0.189983788953 Henry Cohn, 2026, needs more optimization.
30 396 0.190081443006 Henry Cohn, 2026, needs more optimization.
30 397 0.190452582988 Henry Cohn, 2026, needs more optimization.
30 398 0.190833612044 Henry Cohn, 2026, needs more optimization.
30 399 0.190920894609 Henry Cohn, 2026, needs more optimization.
30 400 0.191313567620 Henry Cohn, 2026, needs more optimization.
30 401 0.191592880737 Henry Cohn, 2026, needs more optimization.
30 402 0.191709544015 Henry Cohn, 2026, needs more optimization.
30 403 0.192249018241 Henry Cohn, 2026, needs more optimization.
30 404 0.192423719648 Henry Cohn, 2026, needs more optimization.
30 405 0.192623640430 Henry Cohn, 2026, needs more optimization.
30 406 0.192915163349 Henry Cohn, 2026, needs more optimization.
30 407 0.193184153010 Henry Cohn, 2026, needs more optimization.
30 408 0.193247584954 Henry Cohn, 2026, needs more optimization.
30 409 0.193611780935 Henry Cohn, 2026, needs more optimization.
30 410 0.193908885863 Henry Cohn, 2026, needs more optimization.
30 411 0.194247011250 Henry Cohn, 2026, needs more optimization.
30 412 0.194530622139 Henry Cohn, 2026, needs more optimization.
30 453 0.194630872484 Orthogonal union of 451 points in 29 dimensions and 2 points in 1 dimension.
149⁢x−29
30 454 0.194658336866 Henry Cohn, 2026, needs more optimization.
30 455 0.198037817394 Henry Cohn, 2026, needs more optimization.
30 456 0.198060884405 Henry Cohn, 2026, needs more optimization.
30 457 0.198123882682 Henry Cohn, 2026, needs more optimization.
30 458 0.198145987530 Henry Cohn, 2026, needs more optimization.
30 459 0.198167742690 Henry Cohn, 2026, needs more optimization.
30 460 0.198232032100 Henry Cohn, 2026, needs more optimization.
30 461 0.198248477696 Henry Cohn, 2026, needs more optimization.
30 462 0.198393603155 Henry Cohn, 2026, needs more optimization.
30 463 0.198500002641 Henry Cohn, 2026, needs more optimization.
30 464 0.198536250113 Henry Cohn, 2026, needs more optimization.
30 465 0.198574804596 Henry Cohn, 2026, needs more optimization.
30 466 0.198596886881 Henry Cohn, 2026, needs more optimization.
30 467 0.198649427795 Henry Cohn, 2026, needs more optimization.
30 468 0.198665837670 Henry Cohn, 2026, needs more optimization.
30 469 0.198714633983 Henry Cohn, 2026, needs more optimization.
30 470 0.198800944917 Henry Cohn, 2026, needs more optimization.
30 471 0.198827136887 Henry Cohn, 2026, needs more optimization.
30 472 0.198932648793 Henry Cohn, 2026, needs more optimization.
30 473 0.198950693898 Henry Cohn, 2026, needs more optimization.
30 474 0.199021305922 Henry Cohn, 2026, needs more optimization.
30 475 0.199083966327 Henry Cohn, 2026, needs more optimization.
30 476 0.199104992204 Henry Cohn, 2026, needs more optimization.
30 477 0.199178384672 Henry Cohn, 2026, needs more optimization.
30 478 0.199184397570 Henry Cohn, 2026, needs more optimization.
30 479 0.199218076059 Henry Cohn, 2026, needs more optimization.
30 480 0.199281195480 Henry Cohn, 2026, needs more optimization.
30 482 0.199301935075 Henry Cohn, 2026, needs more optimization.
30 483 0.199336319561 Henry Cohn, 2026, needs more optimization.
30 484 0.199364934343 Henry Cohn, 2026, needs more optimization.
30 485 0.199381168878 Henry Cohn, 2026, needs more optimization.
30 487 0.199388617137 Henry Cohn, 2026, needs more optimization.
30 488 0.199437225647 Henry Cohn, 2026, needs more optimization.
30 489 0.199475285637 Henry Cohn, 2026, needs more optimization.
30 490 0.199502402853 Henry Cohn, 2026, needs more optimization.
30 491 0.199511334455 Henry Cohn, 2026, needs more optimization.
30 492 0.199551357964 Henry Cohn, 2026, needs more optimization.
30 501 0.199559146397 Henry Cohn, 2026, needs more optimization.
30 502 0.199641432561 Henry Cohn, 2026, needs more optimization.
30 505 0.199644277438 Henry Cohn, 2026, needs more optimization.
30 506 0.199669205601 Henry Cohn, 2026, needs more optimization.
30 507 0.199676602486 Henry Cohn, 2026, needs more optimization.
30 508 0.199691358811 Henry Cohn, 2026, needs more optimization.
30 509 0.199724674908 Henry Cohn, 2026, needs more optimization.
30 510 0.199730387386 Henry Cohn, 2026, needs more optimization.
30 511 0.199737938155 Henry Cohn, 2026, needs more optimization.
30 512 0.199795913476 Henry Cohn, 2026, needs more optimization.
30 513 0.199806096227 Henry Cohn, 2026, needs more optimization.
30 514 0.199849224728 Henry Cohn, 2026, needs more optimization.
30 515 0.199851340485 Henry Cohn, 2026, needs more optimization.
30 517 0.199858118045 Henry Cohn, 2026, needs more optimization.
30 519 0.199867254494 Henry Cohn, 2026, needs more optimization.
30 520 0.199867895375 Henry Cohn, 2026, needs more optimization.
30 521 0.199884214385 Henry Cohn, 2026, needs more optimization.
30 522 0.199893525002 Henry Cohn, 2026, needs more optimization.
30 523 0.199898304315 Henry Cohn, 2026, needs more optimization.
30 524 0.199910663741 Henry Cohn, 2026, needs more optimization.
30 525 0.199915359834 Henry Cohn, 2026, needs more optimization.
30 527 0.199941029291 Henry Cohn, 2026, needs more optimization.
30 528 0.199944965502 Henry Cohn, 2026, needs more optimization.
30 529 0.199945229559 Henry Cohn, 2026, needs more optimization.
30 532 0.199964962671 Henry Cohn, 2026, needs more optimization.
30 534 0.199975962979 Henry Cohn, 2026, needs more optimization.
30 537 0.199981527559 Henry Cohn, 2026, needs more optimization.
30 538 0.199985616364 Henry Cohn, 2026, needs more optimization.
30 539 0.199991644743 Henry Cohn, 2026, needs more optimization.
30 540 0.199998684088 Henry Cohn, 2026, needs more optimization.
30 656 0.2 Henry Cohn, 2026.
5⁢x−1
30 657 0.203357314626 Henry Cohn, 2026, needs more optimization.
30 659 0.237128910400 Henry Cohn, 2026, needs more optimization.
30 668 0.237262308640 Henry Cohn, 2026, needs more optimization.
30 672 0.237303731858 Henry Cohn, 2026, needs more optimization.
30 681 0.237550895950 Henry Cohn, 2026, needs more optimization.
30 687 0.237572921021 Henry Cohn, 2026, needs more optimization.
30 690 0.237744925408 Henry Cohn, 2026, needs more optimization.
30 706 0.237796079215 Henry Cohn, 2026, needs more optimization.
30 707 0.238033549708 Henry Cohn, 2026, needs more optimization.
30 710 0.238048540364 Henry Cohn, 2026, needs more optimization.
30 713 0.238058728155 Henry Cohn, 2026, needs more optimization.
30 719 0.238059574679 Henry Cohn, 2026, needs more optimization.
30 720 0.238095951249 Henry Cohn, 2026, needs more optimization.
30 724 0.239198104965 Henry Cohn, 2026, needs more optimization.
30 726 0.239438664190 Henry Cohn, 2026, needs more optimization.
30 727 0.239472499222 Henry Cohn, 2026, needs more optimization.
30 731 0.239607133035 Henry Cohn, 2026, needs more optimization.
30 732 0.239616144434 Henry Cohn, 2026, needs more optimization.
30 733 0.239842674402 Henry Cohn, 2026, needs more optimization.
30 734 0.239845179503 Henry Cohn, 2026, needs more optimization.
30 735 0.239879270327 Henry Cohn, 2026, needs more optimization.
30 736 0.239954614981 Henry Cohn, 2026, needs more optimization.
30 737 0.240003915445 Henry Cohn, 2026, needs more optimization.
30 738 0.240143137463 Henry Cohn, 2026, needs more optimization.
30 740 0.240298388700 Henry Cohn, 2026, needs more optimization.
30 742 0.240399449969 Henry Cohn, 2026, needs more optimization.
30 744 0.240426119019 Henry Cohn, 2026, needs more optimization.
30 746 0.240699362437 Henry Cohn, 2026, needs more optimization.
30 747 0.240773150519 Henry Cohn, 2026, needs more optimization.
30 749 0.240801945503 Henry Cohn, 2026, needs more optimization.
30 750 0.241102835795 Henry Cohn, 2026, needs more optimization.
30 751 0.241222187029 Henry Cohn, 2026, needs more optimization.
30 752 0.241366220446 Henry Cohn, 2026, needs more optimization.
30 753 0.241375711688 Henry Cohn, 2026, needs more optimization.
30 757 0.241567821269 Henry Cohn, 2026, needs more optimization.
30 758 0.241577753247 Henry Cohn, 2026, needs more optimization.
30 760 0.241711908302 Henry Cohn, 2026, needs more optimization.
30 762 0.241724598149 Henry Cohn, 2026, needs more optimization.
30 763 0.241975769597 Henry Cohn, 2026, needs more optimization.
30 765 0.242141354742 Henry Cohn, 2026, needs more optimization.
30 766 0.242171398875 Henry Cohn, 2026, needs more optimization.
30 767 0.242216208567 Henry Cohn, 2026, needs more optimization.
30 770 0.242285795152 Henry Cohn, 2026, needs more optimization.
30 772 0.242366346241 Henry Cohn, 2026, needs more optimization.
30 777 0.242439918737 Henry Cohn, 2026, needs more optimization.
30 778 0.242450694502 Henry Cohn, 2026, needs more optimization.
30 779 0.242714879609 Henry Cohn, 2026, needs more optimization.
30 780 0.242720295341 Henry Cohn, 2026, needs more optimization.
30 781 0.242788034644 Henry Cohn, 2026, needs more optimization.
30 783 0.242897283289 Henry Cohn, 2026, needs more optimization.
30 784 0.242955435503 Henry Cohn, 2026, needs more optimization.
30 785 0.243086013318 Henry Cohn, 2026, needs more optimization.
30 787 0.243098557954 Henry Cohn, 2026, needs more optimization.
30 789 0.243251024687 Henry Cohn, 2026, needs more optimization.
30 790 0.243292857013 Henry Cohn, 2026, needs more optimization.
30 791 0.243404543620 Henry Cohn, 2026, needs more optimization.
30 792 0.243517884596 Henry Cohn, 2026, needs more optimization.
30 793 0.243599540233 Henry Cohn, 2026, needs more optimization.
30 795 0.243673738036 Henry Cohn, 2026, needs more optimization.
30 796 0.243786445889 Henry Cohn, 2026, needs more optimization.
30 797 0.243890224447 Henry Cohn, 2026, needs more optimization.
30 798 0.244026862724 Henry Cohn, 2026, needs more optimization.
30 799 0.244097007193 Henry Cohn, 2026, needs more optimization.
30 801 0.244161977417 Henry Cohn, 2026, needs more optimization.
30 802 0.244256589260 Henry Cohn, 2026, needs more optimization.
30 803 0.244273356514 Henry Cohn, 2026, needs more optimization.
30 804 0.244394080891 Henry Cohn, 2026, needs more optimization.
30 805 0.244551243877 Henry Cohn, 2026, needs more optimization.
30 806 0.244678449766 Henry Cohn, 2026, needs more optimization.
30 807 0.244805227641 Henry Cohn, 2026, needs more optimization.
30 808 0.244835219499 Henry Cohn, 2026, needs more optimization.
30 809 0.244907384414 Henry Cohn, 2026, needs more optimization.
30 810 0.245072323644 Henry Cohn, 2026, needs more optimization.
30 811 0.245137072342 Henry Cohn, 2026, needs more optimization.
30 813 0.245279310992 Henry Cohn, 2026, needs more optimization.
30 814 0.245401745449 Henry Cohn, 2026, needs more optimization.
30 815 0.245451842307 Henry Cohn, 2026, needs more optimization.
30 816 0.245497846703 Henry Cohn, 2026, needs more optimization.
30 817 0.245616111545 Henry Cohn, 2026, needs more optimization.
30 819 0.245766928315 Henry Cohn, 2026, needs more optimization.
30 821 0.245776436983 Henry Cohn, 2026, needs more optimization.
30 822 0.245920814720 Henry Cohn, 2026, needs more optimization.
30 823 0.246003672905 Henry Cohn, 2026, needs more optimization.
30 824 0.246017234787 Henry Cohn, 2026, needs more optimization.
30 825 0.246137875757 Henry Cohn, 2026, needs more optimization.
30 826 0.246204791292 Henry Cohn, 2026, needs more optimization.
30 827 0.246206118225 Henry Cohn, 2026, needs more optimization.
30 828 0.246228438571 Henry Cohn, 2026, needs more optimization.
30 829 0.246446238553 Henry Cohn, 2026, needs more optimization.
30 830 0.246508419354 Henry Cohn, 2026, needs more optimization.
30 833 0.246550311682 Henry Cohn, 2026, needs more optimization.
30 835 0.246624805463 Henry Cohn, 2026, needs more optimization.
30 838 0.246767152095 Henry Cohn, 2026, needs more optimization.
30 839 0.246847898732 Henry Cohn, 2026, needs more optimization.
30 840 0.246882865686 Henry Cohn, 2026, needs more optimization.
30 842 0.246991638982 Henry Cohn, 2026, needs more optimization.
30 843 0.247010209193 Henry Cohn, 2026, needs more optimization.
30 844 0.247139046806 Henry Cohn, 2026, needs more optimization.
30 845 0.247146102832 Henry Cohn, 2026, needs more optimization.
30 847 0.247313269557 Henry Cohn, 2026, needs more optimization.
30 848 0.247400192720 Henry Cohn, 2026, needs more optimization.
30 849 0.247510810879 Henry Cohn, 2026, needs more optimization.
30 851 0.247525796770 Henry Cohn, 2026, needs more optimization.
30 852 0.247573705710 Henry Cohn, 2026, needs more optimization.
30 853 0.247634468969 Henry Cohn, 2026, needs more optimization.
30 856 0.247713176806 Henry Cohn, 2026, needs more optimization.
30 857 0.247730377908 Henry Cohn, 2026, needs more optimization.
30 860 0.247839174933 Henry Cohn, 2026, needs more optimization.
30 861 0.247922095306 Henry Cohn, 2026, needs more optimization.
30 862 0.247931655659 Henry Cohn, 2026, needs more optimization.
30 863 0.247971484079 Henry Cohn, 2026, needs more optimization.
30 864 0.248006889398 Henry Cohn, 2026, needs more optimization.
30 865 0.248069384123 Henry Cohn, 2026, needs more optimization.
30 866 0.248075191251 Henry Cohn, 2026, needs more optimization.
30 867 0.248152571862 Henry Cohn, 2026, needs more optimization.
30 869 0.248156981117 Henry Cohn, 2026, needs more optimization.
30 871 0.248213346713 Henry Cohn, 2026, needs more optimization.
30 872 0.248223490819 Henry Cohn, 2026, needs more optimization.
30 873 0.248280960221 Henry Cohn, 2026, needs more optimization.
30 875 0.248349793858 Henry Cohn, 2026, needs more optimization.
30 877 0.248368934421 Henry Cohn, 2026, needs more optimization.
30 879 0.248467813669 Henry Cohn, 2026, needs more optimization.
30 880 0.248505039275 Henry Cohn, 2026, needs more optimization.
30 881 0.248541217033 Henry Cohn, 2026, needs more optimization.
30 882 0.248617680012 Henry Cohn, 2026, needs more optimization.
30 883 0.248623494844 Henry Cohn, 2026, needs more optimization.
30 886 0.248668752274 Henry Cohn, 2026, needs more optimization.
30 890 0.248713049151 Henry Cohn, 2026, needs more optimization.
30 891 0.248753445780 Henry Cohn, 2026, needs more optimization.
30 892 0.248808103953 Henry Cohn, 2026, needs more optimization.
30 893 0.248832834690 Henry Cohn, 2026, needs more optimization.
30 894 0.248881248400 Henry Cohn, 2026, needs more optimization.
30 895 0.248898058260 Henry Cohn, 2026, needs more optimization.
30 896 0.248914031675 Henry Cohn, 2026, needs more optimization.
30 901 0.248940440670 Henry Cohn, 2026, needs more optimization.
30 902 0.249003237914 Henry Cohn, 2026, needs more optimization.
30 903 0.249009976198 Henry Cohn, 2026, needs more optimization.
30 904 0.249018628720 Henry Cohn, 2026, needs more optimization.
30 905 0.249063663905 Henry Cohn, 2026, needs more optimization.
30 906 0.249092443582 Henry Cohn, 2026, needs more optimization.
30 908 0.249113593076 Henry Cohn, 2026, needs more optimization.
30 910 0.249161336968 Henry Cohn, 2026, needs more optimization.
30 911 0.249216016178 Henry Cohn, 2026, needs more optimization.
30 913 0.249227046526 Henry Cohn, 2026, needs more optimization.
30 916 0.249269935571 Henry Cohn, 2026, needs more optimization.
30 923 0.249304915933 Henry Cohn, 2026, needs more optimization.
30 925 0.249343830384 Henry Cohn, 2026, needs more optimization.
30 927 0.249390502010 Henry Cohn, 2026, needs more optimization.
30 930 0.249416512935 Henry Cohn, 2026, needs more optimization.
30 934 0.249463944163 Henry Cohn, 2026, needs more optimization.
30 935 0.249487603487 Henry Cohn, 2026, needs more optimization.
30 936 0.249511803404 Henry Cohn, 2026, needs more optimization.
30 938 0.249520690254 Henry Cohn, 2026, needs more optimization.
30 939 0.249547061607 Henry Cohn, 2026, needs more optimization.
30 940 0.249578665531 Henry Cohn, 2026, needs more optimization.
30 942 0.249583367266 Henry Cohn, 2026, needs more optimization.
30 944 0.249605653266 Henry Cohn, 2026, needs more optimization.
30 948 0.249616309678 Henry Cohn, 2026, needs more optimization.
30 951 0.249626870053 Henry Cohn, 2026, needs more optimization.
30 953 0.249656456168 Henry Cohn, 2026, needs more optimization.
30 955 0.249661115287 Henry Cohn, 2026, needs more optimization.
30 956 0.249701158163 Henry Cohn, 2026, needs more optimization.
30 958 0.249733373825 Henry Cohn, 2026, needs more optimization.
30 959 0.249739064494 Henry Cohn, 2026, needs more optimization.
30 966 0.249753629232 Henry Cohn, 2026, needs more optimization.
30 974 0.249793357727 Henry Cohn, 2026, needs more optimization.
30 979 0.249825107253 Henry Cohn, 2026, needs more optimization.
30 986 0.249849217493 Henry Cohn, 2026, needs more optimization.
30 987 0.249857164294 Henry Cohn, 2026, needs more optimization.
30 988 0.249860185862 Henry Cohn, 2026, needs more optimization.
30 993 0.249901342491 Henry Cohn, 2026, needs more optimization.
30 995 0.249902199077 Henry Cohn, 2026, needs more optimization.
30 996 0.249908840006 Henry Cohn, 2026, needs more optimization.
30 997 0.249911333245 Henry Cohn, 2026, needs more optimization.
30 998 0.249915238465 Henry Cohn, 2026, needs more optimization.
30 1024 0.249939028962 Henry Cohn, 2026, needs more optimization.
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 0.030325190881 Henry Cohn, 2026.
31 65 0.037285566163 Henry Cohn, 2026.
31 66 0.037768798212 Henry Cohn, 2026.
31 67 0.038151418152 Henry Cohn, 2026.
31 68 0.041705121599 Henry Cohn, 2026, needs more optimization.
31 69 0.043538391987 Henry Cohn, 2026.
31 70 0.043787493765 Henry Cohn, 2026, needs more optimization.
31 71 0.044034234118 Henry Cohn, 2026, needs more optimization.
31 72 0.044583881514 Henry Cohn, 2026, needs more optimization.
31 73 0.048631532114 Henry Cohn, 2026, needs more optimization.
31 74 0.050068906633 Henry Cohn, 2026, needs more optimization.
31 75 0.051024214945 Henry Cohn, 2026, needs more optimization.
31 76 0.052578474476 Henry Cohn, 2026, needs more optimization.
31 77 0.054427328702 Henry Cohn, 2026, needs more optimization.
31 78 0.055755021880 Henry Cohn, 2026, needs more optimization.
31 79 0.057284634544 Henry Cohn, 2026, needs more optimization.
31 80 0.058637542793 Henry Cohn, 2026, needs more optimization.
31 81 0.060011305959 Henry Cohn, 2026, needs more optimization.
31 82 0.061360497540 Henry Cohn, 2026, needs more optimization.
31 83 0.061682454668 Henry Cohn, 2026, needs more optimization.
31 84 0.062332555905 Henry Cohn, 2026, needs more optimization.
31 85 0.063452446643 Henry Cohn, 2026, needs more optimization.
31 86 0.064362380190 Henry Cohn, 2026, needs more optimization.
31 87 0.065619149576 Henry Cohn, 2026, needs more optimization.
31 88 0.067040280402 Henry Cohn, 2026, needs more optimization.
31 89 0.068535259195 Henry Cohn, 2026, needs more optimization.
31 90 0.069756559304 Henry Cohn, 2026, needs more optimization.
31 91 0.072101908742 Henry Cohn, 2026, needs more optimization.
31 92 0.073155110844 Henry Cohn, 2026, needs more optimization.
31 93 0.074056359375 Henry Cohn, 2026, needs more optimization.
31 94 0.074944641928 Henry Cohn, 2026, needs more optimization.
31 95 0.075316375078 Henry Cohn, 2026, needs more optimization.
31 96 0.075939747325 Henry Cohn, 2026, needs more optimization.
31 97 0.076307020585 Henry Cohn, 2026, needs more optimization.
31 98 0.076841470416 Henry Cohn, 2026, needs more optimization.
31 99 0.076884191847 Henry Cohn, 2026, needs more optimization.
31 100 0.076928917732 Henry Cohn, 2026, needs more optimization.
31 101 0.076991735329 Henry Cohn, 2026, needs more optimization.
31 102 0.077155000085 Henry Cohn, 2026, needs more optimization.
31 103 0.077296045793 Henry Cohn, 2026, needs more optimization.
31 104 0.077401069719 Henry Cohn, 2026, needs more optimization.
31 105 0.077815111681 Henry Cohn, 2026, needs more optimization.
31 106 0.078227935107 Henry Cohn, 2026, needs more optimization.
31 107 0.078676677442 Henry Cohn, 2026, needs more optimization.
31 108 0.079523978346 Henry Cohn, 2026, needs more optimization.
31 109 0.079852955451 Henry Cohn, 2026, needs more optimization.
31 110 0.080318497739 Henry Cohn, 2026, needs more optimization.
31 111 0.080631466005 Henry Cohn, 2026, needs more optimization.
31 112 0.080739352359 Henry Cohn, 2026, needs more optimization.
31 113 0.081339754371 Henry Cohn, 2026, needs more optimization.
31 114 0.081694453685 Henry Cohn, 2026, needs more optimization.
31 115 0.082456612902 Henry Cohn, 2026, needs more optimization.
31 116 0.083371330803 Henry Cohn, 2026, needs more optimization.
31 117 0.084483653652 Henry Cohn, 2026, needs more optimization.
31 118 0.085723716175 Henry Cohn, 2026, needs more optimization.
31 119 0.086800330222 Henry Cohn, 2026, needs more optimization.
31 120 0.087844519791 Henry Cohn, 2026, needs more optimization.
31 121 0.088324609597 Henry Cohn, 2026, needs more optimization.
31 122 0.088727348765 Henry Cohn, 2026, needs more optimization.
31 123 0.088883895955 Henry Cohn, 2026, needs more optimization.
31 124 0.089205454316 Henry Cohn, 2026, needs more optimization.
31 125 0.089609352897 Henry Cohn, 2026, needs more optimization.
31 126 0.089920694234 Henry Cohn, 2026, needs more optimization.
31 127 0.090330301541 Henry Cohn, 2026, needs more optimization.
31 128 0.090531122934 Henry Cohn, 2026, needs more optimization.
31 129 0.090757831584 Henry Cohn, 2026, needs more optimization.
31 130 0.091274921879 Henry Cohn, 2026, needs more optimization.
31 131 0.092224425145 Henry Cohn, 2026, needs more optimization.
31 132 0.093190738514 Henry Cohn, 2026, needs more optimization.
31 133 0.094606477357 Henry Cohn, 2026, needs more optimization.
31 134 0.095448357669 Henry Cohn, 2026, needs more optimization.
31 135 0.096348341664 Henry Cohn, 2026, needs more optimization.
31 136 0.097760271558 Henry Cohn, 2026, needs more optimization.
31 137 0.098801227519 Henry Cohn, 2026, needs more optimization.
31 138 0.099762218836 Henry Cohn, 2026, needs more optimization.
31 139 0.100459784718 Henry Cohn, 2026, needs more optimization.
31 140 0.101759194341 Henry Cohn, 2026, needs more optimization.
31 141 0.102478785205 Henry Cohn, 2026, needs more optimization.
31 142 0.102494538745 Henry Cohn, 2026, needs more optimization.
31 143 0.102507651918 Henry Cohn, 2026, needs more optimization.
31 144 0.102565639609 Henry Cohn, 2026, needs more optimization.
31 145 0.102677559611 Henry Cohn, 2026, needs more optimization.
31 146 0.102851538045 Henry Cohn, 2026, needs more optimization.
31 147 0.103822486522 Henry Cohn, 2026, needs more optimization.
31 148 0.104757380041 Henry Cohn, 2026, needs more optimization.
31 149 0.105241075816 Henry Cohn, 2026, needs more optimization.
31 150 0.106275074838 Henry Cohn, 2026, needs more optimization.
31 151 0.107047742537 Henry Cohn, 2026, needs more optimization.
31 152 0.107773739203 Henry Cohn, 2026, needs more optimization.
31 153 0.108611317954 Henry Cohn, 2026, needs more optimization.
31 154 0.109383400065 Henry Cohn, 2026, needs more optimization.
31 155 0.109986090290 Henry Cohn, 2026, needs more optimization.
31 156 0.110202011145 Henry Cohn, 2026, needs more optimization.
31 157 0.110367546104 Henry Cohn, 2026, needs more optimization.
31 158 0.110466414826 Henry Cohn, 2026, needs more optimization.
31 159 0.110683803185 Henry Cohn, 2026, needs more optimization.
31 160 0.111045320287 Henry Cohn, 2026, needs more optimization.
31 161 0.111539507559 Henry Cohn, 2026, needs more optimization.
31 162 0.111971805906 Henry Cohn, 2026, needs more optimization.
31 163 0.113078481516 Henry Cohn, 2026, needs more optimization.
31 164 0.113823417172 Henry Cohn, 2026, needs more optimization.
31 165 0.114415289926 Henry Cohn, 2026, needs more optimization.
31 166 0.115487328343 Henry Cohn, 2026, needs more optimization.
31 167 0.116389658271 Henry Cohn, 2026, needs more optimization.
31 168 0.117355893195 Henry Cohn, 2026, needs more optimization.
31 169 0.118416676475 Henry Cohn, 2026, needs more optimization.
31 170 0.119344035823 Henry Cohn, 2026, needs more optimization.
31 171 0.120234849705 Henry Cohn, 2026, needs more optimization.
31 172 0.121275210574 Henry Cohn, 2026, needs more optimization.
31 173 0.123043185394 Henry Cohn, 2026, needs more optimization.
31 174 0.123654081020 Henry Cohn, 2026, needs more optimization.
31 175 0.124763897966 Henry Cohn, 2026, needs more optimization.
31 176 0.125771223720 Henry Cohn, 2026, needs more optimization.
31 177 0.126364877108 Henry Cohn, 2026, needs more optimization.
31 178 0.127056451651 Henry Cohn, 2026, needs more optimization.
31 179 0.127668293745 Henry Cohn, 2026, needs more optimization.
31 180 0.128236446215 Henry Cohn, 2026, needs more optimization.
31 181 0.128237222693 Henry Cohn, 2026, needs more optimization.
31 182 0.128237223869 Henry Cohn, 2026, needs more optimization.
31 183 0.128237225258 Henry Cohn, 2026, needs more optimization.
31 184 0.128237229082 Henry Cohn, 2026, needs more optimization.
31 187 0.128237513436 Henry Cohn, 2026, needs more optimization.
31 188 0.128237513442 Henry Cohn, 2026, needs more optimization.
31 189 0.128240899558 Henry Cohn, 2026, needs more optimization.
31 190 0.128242834972 Henry Cohn, 2026, needs more optimization.
31 191 0.128244709767 Henry Cohn, 2026, needs more optimization.
31 192 0.128251672670 Henry Cohn, 2026, needs more optimization.
31 193 0.128312009937 Henry Cohn, 2026, needs more optimization.
31 194 0.128593151001 Henry Cohn, 2026, needs more optimization.
31 195 0.129029575020 Henry Cohn, 2026, needs more optimization.
31 196 0.129982121125 Henry Cohn, 2026, needs more optimization.
31 197 0.131314432531 Henry Cohn, 2026, needs more optimization.
31 198 0.132692618451 Henry Cohn, 2026, needs more optimization.
31 199 0.133741148136 Henry Cohn, 2026, needs more optimization.
31 200 0.134417002738 Henry Cohn, 2026, needs more optimization.
31 201 0.135039657114 Henry Cohn, 2026, needs more optimization.
31 202 0.135900340420 Henry Cohn, 2026, needs more optimization.
31 203 0.136750801304 Henry Cohn, 2026, needs more optimization.
31 204 0.137364167601 Henry Cohn, 2026, needs more optimization.
31 205 0.137534137818 Henry Cohn, 2026, needs more optimization.
31 206 0.138237068994 Henry Cohn, 2026, needs more optimization.
31 207 0.138689633306 Henry Cohn, 2026, needs more optimization.
31 208 0.138983199727 Henry Cohn, 2026, needs more optimization.
31 209 0.139740743778 Henry Cohn, 2026, needs more optimization.
31 210 0.140530124251 Henry Cohn, 2026, needs more optimization.
31 211 0.140544388156 Henry Cohn, 2026, needs more optimization.
31 212 0.140688810125 Henry Cohn, 2026, needs more optimization.
31 213 0.140778259621 Henry Cohn, 2026, needs more optimization.
31 214 0.140917370048 Henry Cohn, 2026, needs more optimization.
31 215 0.141026037072 Henry Cohn, 2026, needs more optimization.
31 216 0.141120201092 Henry Cohn, 2026, needs more optimization.
31 217 0.141224964068 Henry Cohn, 2026, needs more optimization.
31 218 0.141309816548 Henry Cohn, 2026, needs more optimization.
31 219 0.141544150324 Henry Cohn, 2026, needs more optimization.
31 220 0.141918881368 Henry Cohn, 2026, needs more optimization.
31 221 0.141979578847 Henry Cohn, 2026, needs more optimization.
31 222 0.142057390711 Henry Cohn, 2026, needs more optimization.
31 223 0.142107944611 Henry Cohn, 2026, needs more optimization.
31 224 0.142165031041 Henry Cohn, 2026, needs more optimization.
31 225 0.142435415467 Henry Cohn, 2026, needs more optimization.
31 226 0.142820242868 Henry Cohn, 2026, needs more optimization.
31 227 0.142972400095 Henry Cohn, 2026, needs more optimization.
31 228 0.143198539609 Henry Cohn, 2026, needs more optimization.
31 229 0.143790628677 Henry Cohn, 2026, needs more optimization.
31 230 0.144364147698 Henry Cohn, 2026, needs more optimization.
31 231 0.144763465014 Henry Cohn, 2026, needs more optimization.
31 232 0.144900582618 Henry Cohn, 2026, needs more optimization.
31 233 0.145140545443 Henry Cohn, 2026, needs more optimization.
31 234 0.145346267799 Henry Cohn, 2026, needs more optimization.
31 235 0.145415232448 Henry Cohn, 2026, needs more optimization.
31 236 0.145518131538 Henry Cohn, 2026, needs more optimization.
31 237 0.145639857139 Henry Cohn, 2026, needs more optimization.
31 238 0.145808709876 Henry Cohn, 2026, needs more optimization.
31 239 0.145935471102 Henry Cohn, 2026, needs more optimization.
31 240 0.146047704841 Henry Cohn, 2026, needs more optimization.
31 241 0.146087804927 Henry Cohn, 2026, needs more optimization.
31 242 0.146220131195 Henry Cohn, 2026, needs more optimization.
31 243 0.146421810595 Henry Cohn, 2026, needs more optimization.
31 244 0.146544638898 Henry Cohn, 2026, needs more optimization.
31 245 0.146695314670 Henry Cohn, 2026, needs more optimization.
31 246 0.146759788837 Henry Cohn, 2026, needs more optimization.
31 247 0.146977204072 Henry Cohn, 2026, needs more optimization.
31 248 0.147085423915 Henry Cohn, 2026, needs more optimization.
31 249 0.147165071357 Henry Cohn, 2026, needs more optimization.
31 250 0.147254885372 Henry Cohn, 2026, needs more optimization.
31 251 0.147328452258 Henry Cohn, 2026, needs more optimization.
31 252 0.147379676901 Henry Cohn, 2026, needs more optimization.
31 253 0.147539656115 Henry Cohn, 2026, needs more optimization.
31 254 0.147618624646 Henry Cohn, 2026, needs more optimization.
31 255 0.147719047328 Henry Cohn, 2026, needs more optimization.
31 256 0.147862167925 Henry Cohn, 2026, needs more optimization.
31 257 0.148010609630 Henry Cohn, 2026, needs more optimization.
31 258 0.148289524200 Henry Cohn, 2026, needs more optimization.
31 259 0.148601525670 Henry Cohn, 2026, needs more optimization.
31 260 0.148701984274 Henry Cohn, 2026, needs more optimization.
31 261 0.148709403171 Henry Cohn, 2026, needs more optimization.
31 262 0.149195271016 Henry Cohn, 2026, needs more optimization.
31 263 0.149325675941 Henry Cohn, 2026, needs more optimization.
31 264 0.149745966165 Henry Cohn, 2026, needs more optimization.
31 265 0.150262306226 Henry Cohn, 2026, needs more optimization.
31 266 0.150594712700 Henry Cohn, 2026, needs more optimization.
31 267 0.151147954179 Henry Cohn, 2026, needs more optimization.
31 268 0.151683563377 Henry Cohn, 2026, needs more optimization.
31 269 0.152343527561 Henry Cohn, 2026, needs more optimization.
31 270 0.152620017553 Henry Cohn, 2026, needs more optimization.
31 271 0.153320343746 Henry Cohn, 2026, needs more optimization.
31 272 0.153642362054 Henry Cohn, 2026, needs more optimization.
31 273 0.154362987307 Henry Cohn, 2026, needs more optimization.
31 274 0.154574330943 Henry Cohn, 2026, needs more optimization.
31 275 0.155001499033 Henry Cohn, 2026, needs more optimization.
31 276 0.155478799131 Henry Cohn, 2026, needs more optimization.
31 277 0.156149772867 Henry Cohn, 2026, needs more optimization.
31 278 0.156644619690 Henry Cohn, 2026, needs more optimization.
31 279 0.156955510948 Henry Cohn, 2026, needs more optimization.
31 280 0.157567874037 Henry Cohn, 2026, needs more optimization.
31 281 0.158326073451 Henry Cohn, 2026, needs more optimization.
31 282 0.158900931600 Henry Cohn, 2026, needs more optimization.
31 283 0.159204137278 Henry Cohn, 2026, needs more optimization.
31 284 0.159740365753 Henry Cohn, 2026, needs more optimization.
31 285 0.160198346345 Henry Cohn, 2026, needs more optimization.
31 286 0.160589847500 Henry Cohn, 2026, needs more optimization.
31 287 0.161117904929 Henry Cohn, 2026, needs more optimization.
31 288 0.161683675718 Henry Cohn, 2026, needs more optimization.
31 289 0.161709455050 Henry Cohn, 2026, needs more optimization.
31 290 0.161747456997 Henry Cohn, 2026, needs more optimization.
31 291 0.161750524328 Henry Cohn, 2026, needs more optimization.
31 292 0.161809919854 Henry Cohn, 2026, needs more optimization.
31 293 0.161821329117 Henry Cohn, 2026, needs more optimization.
31 294 0.161825969807 Henry Cohn, 2026, needs more optimization.
31 295 0.161849335919 Henry Cohn, 2026, needs more optimization.
31 296 0.161870600657 Henry Cohn, 2026, needs more optimization.
31 297 0.161915608501 Henry Cohn, 2026, needs more optimization.
31 298 0.161953107568 Henry Cohn, 2026, needs more optimization.
31 299 0.162074273604 Henry Cohn, 2026, needs more optimization.
31 300 0.162203838756 Henry Cohn, 2026, needs more optimization.
31 301 0.162212070222 Henry Cohn, 2026, needs more optimization.
31 302 0.162380241844 Henry Cohn, 2026, needs more optimization.
31 303 0.162505055163 Henry Cohn, 2026, needs more optimization.
31 304 0.162526615453 Henry Cohn, 2026, needs more optimization.
31 305 0.162850244261 Henry Cohn, 2026, needs more optimization.
31 306 0.163008726265 Henry Cohn, 2026, needs more optimization.
31 307 0.163173614718 Henry Cohn, 2026, needs more optimization.
31 308 0.163284797629 Henry Cohn, 2026, needs more optimization.
31 309 0.163489558382 Henry Cohn, 2026, needs more optimization.
31 310 0.163658004545 Henry Cohn, 2026, needs more optimization.
31 311 0.163769695601 Henry Cohn, 2026, needs more optimization.
31 312 0.163887818456 Henry Cohn, 2026, needs more optimization.
31 313 0.164018378950 Henry Cohn, 2026, needs more optimization.
31 314 0.164097091597 Henry Cohn, 2026, needs more optimization.
31 315 0.164192962672 Henry Cohn, 2026, needs more optimization.
31 316 0.164322637492 Henry Cohn, 2026, needs more optimization.
31 317 0.164351089345 Henry Cohn, 2026, needs more optimization.
31 318 0.164404086084 Henry Cohn, 2026, needs more optimization.
31 319 0.164483168476 Henry Cohn, 2026, needs more optimization.
31 320 0.164542705033 Henry Cohn, 2026, needs more optimization.
31 321 0.164574935676 Henry Cohn, 2026, needs more optimization.
31 322 0.164640546743 Henry Cohn, 2026, needs more optimization.
31 323 0.164688044816 Henry Cohn, 2026, needs more optimization.
31 324 0.164752139442 Henry Cohn, 2026, needs more optimization.
31 325 0.164842513703 Henry Cohn, 2026, needs more optimization.
31 326 0.164928490475 Henry Cohn, 2026, needs more optimization.
31 327 0.165024440168 Henry Cohn, 2026, needs more optimization.
31 328 0.165115173326 Henry Cohn, 2026, needs more optimization.
31 329 0.165246467193 Henry Cohn, 2026, needs more optimization.
31 330 0.165312653118 Henry Cohn, 2026, needs more optimization.
31 331 0.165416486430 Henry Cohn, 2026, needs more optimization.
31 332 0.165568337677 Henry Cohn, 2026, needs more optimization.
31 333 0.165628200611 Henry Cohn, 2026, needs more optimization.
31 334 0.165695938933 Henry Cohn, 2026, needs more optimization.
31 335 0.165779350563 Henry Cohn, 2026, needs more optimization.
31 336 0.165873147540 Henry Cohn, 2026, needs more optimization.
31 337 0.166023098544 Henry Cohn, 2026, needs more optimization.
31 338 0.166098412858 Henry Cohn, 2026, needs more optimization.
31 339 0.166199749654 Henry Cohn, 2026, needs more optimization.
31 340 0.166396586722 Henry Cohn, 2026, needs more optimization.
31 341 0.166551717618 Henry Cohn, 2026, needs more optimization.
31 342 0.166595689599 Henry Cohn, 2026, needs more optimization.
31 343 0.166646344661 Henry Cohn, 2026, needs more optimization.
31 344 0.166686745579 Henry Cohn, 2026, needs more optimization.
31 345 0.166815874266 Henry Cohn, 2026, needs more optimization.
31 346 0.166852055582 Henry Cohn, 2026, needs more optimization.
31 347 0.166925584602 Henry Cohn, 2026, needs more optimization.
31 348 0.167001163828 Henry Cohn, 2026, needs more optimization.
31 349 0.167043819387 Henry Cohn, 2026, needs more optimization.
31 350 0.167176704233 Henry Cohn, 2026, needs more optimization.
31 351 0.167508853974 Henry Cohn, 2026, needs more optimization.
31 352 0.168648449382 Henry Cohn, 2026, needs more optimization.
31 353 0.168736982711 Henry Cohn, 2026, needs more optimization.
31 354 0.169053736571 Henry Cohn, 2026, needs more optimization.
31 355 0.169172049009 Henry Cohn, 2026, needs more optimization.
31 356 0.170095298405 Henry Cohn, 2026, needs more optimization.
31 357 0.170443769039 Henry Cohn, 2026, needs more optimization.
31 358 0.171148615254 Henry Cohn, 2026, needs more optimization.
31 359 0.171473915499 Henry Cohn, 2026, needs more optimization.
31 360 0.171799506327 Henry Cohn, 2026, needs more optimization.
31 361 0.178438133292 Henry Cohn, 2026, needs more optimization.
31 362 0.178450921755 Henry Cohn, 2026, needs more optimization.
31 363 0.178478760246 Henry Cohn, 2026, needs more optimization.
31 364 0.178485240345 Henry Cohn, 2026, needs more optimization.
31 365 0.178510005456 Henry Cohn, 2026, needs more optimization.
31 366 0.178654716864 Henry Cohn, 2026, needs more optimization.
31 367 0.178667783927 Henry Cohn, 2026, needs more optimization.
31 368 0.178693219092 Henry Cohn, 2026, needs more optimization.
31 369 0.178768734281 Henry Cohn, 2026, needs more optimization.
31 370 0.178955589856 Henry Cohn, 2026, needs more optimization.
31 371 0.179084053497 Henry Cohn, 2026, needs more optimization.
31 372 0.179610436773 Henry Cohn, 2026, needs more optimization.
31 373 0.179706522413 Henry Cohn, 2026, needs more optimization.
31 374 0.180242384861 Henry Cohn, 2026, needs more optimization.
31 375 0.180446333116 Henry Cohn, 2026, needs more optimization.
31 376 0.180616572504 Henry Cohn, 2026, needs more optimization.
31 377 0.181112815458 Henry Cohn, 2026, needs more optimization.
31 378 0.181742856274 Henry Cohn, 2026, needs more optimization.
31 379 0.181990900759 Henry Cohn, 2026, needs more optimization.
31 380 0.182042807649 Henry Cohn, 2026, needs more optimization.
31 381 0.182080793472 Henry Cohn, 2026, needs more optimization.
31 382 0.182139544276 Henry Cohn, 2026, needs more optimization.
31 383 0.182219232073 Henry Cohn, 2026, needs more optimization.
31 384 0.182236122303 Henry Cohn, 2026, needs more optimization.
31 385 0.182481510732 Henry Cohn, 2026, needs more optimization.
31 386 0.182489166636 Henry Cohn, 2026, needs more optimization.
31 387 0.182495508900 Henry Cohn, 2026, needs more optimization.
31 388 0.182642725099 Henry Cohn, 2026, needs more optimization.
31 389 0.182753814549 Henry Cohn, 2026, needs more optimization.
31 390 0.183020739924 Henry Cohn, 2026, needs more optimization.
31 391 0.183185738644 Henry Cohn, 2026, needs more optimization.
31 392 0.183673014177 Henry Cohn, 2026, needs more optimization.
31 395 0.184232966137 Henry Cohn, 2026, needs more optimization.
31 396 0.184753846574 Henry Cohn, 2026, needs more optimization.
31 397 0.184952146691 Henry Cohn, 2026, needs more optimization.
31 398 0.185352717494 Henry Cohn, 2026, needs more optimization.
31 399 0.185892323574 Henry Cohn, 2026, needs more optimization.
31 400 0.186016760521 Henry Cohn, 2026, needs more optimization.
31 401 0.186085173200 Henry Cohn, 2026, needs more optimization.
31 402 0.186149040467 Henry Cohn, 2026, needs more optimization.
31 403 0.186390639120 Henry Cohn, 2026, needs more optimization.
31 404 0.186654758030 Henry Cohn, 2026, needs more optimization.
31 405 0.187150057189 Henry Cohn, 2026, needs more optimization.
31 406 0.187238615145 Henry Cohn, 2026, needs more optimization.
31 407 0.187444730524 Henry Cohn, 2026, needs more optimization.
31 408 0.187782411790 Henry Cohn, 2026, needs more optimization.
31 409 0.187832248780 Henry Cohn, 2026, needs more optimization.
31 410 0.187937135601 Henry Cohn, 2026, needs more optimization.
31 411 0.188213983865 Henry Cohn, 2026, needs more optimization.
31 412 0.188659331148 Henry Cohn, 2026, needs more optimization.
31 413 0.188978880031 Henry Cohn, 2026, needs more optimization.
31 414 0.189112812761 Henry Cohn, 2026, needs more optimization.
31 415 0.189297081135 Henry Cohn, 2026, needs more optimization.
31 416 0.189355056241 Henry Cohn, 2026, needs more optimization.
31 417 0.189693859243 Henry Cohn, 2026, needs more optimization.
31 418 0.189845785828 Henry Cohn, 2026, needs more optimization.
31 419 0.190108692546 Henry Cohn, 2026, needs more optimization.
31 420 0.190315738048 Henry Cohn, 2026, needs more optimization.
31 421 0.190443805155 Henry Cohn, 2026, needs more optimization.
31 422 0.190707082553 Henry Cohn, 2026, needs more optimization.
31 423 0.190882116176 Henry Cohn, 2026, needs more optimization.
31 424 0.191189738885 Henry Cohn, 2026, needs more optimization.
31 425 0.191500617129 Henry Cohn, 2026, needs more optimization.
31 426 0.191647004338 Henry Cohn, 2026, needs more optimization.
31 427 0.191824595518 Henry Cohn, 2026, needs more optimization.
31 428 0.191941140439 Henry Cohn, 2026, needs more optimization.
31 429 0.192063208286 Henry Cohn, 2026, needs more optimization.
31 430 0.192158062364 Henry Cohn, 2026, needs more optimization.
31 431 0.192588063905 Henry Cohn, 2026, needs more optimization.
31 432 0.192684135182 Henry Cohn, 2026, needs more optimization.
31 433 0.192977622333 Henry Cohn, 2026, needs more optimization.
31 434 0.193194503358 Henry Cohn, 2026, needs more optimization.
31 435 0.193634074886 Henry Cohn, 2026, needs more optimization.
31 436 0.193832081368 Henry Cohn, 2026, needs more optimization.
31 438 0.194162198171 Henry Cohn, 2026, needs more optimization.
31 439 0.194236004143 Henry Cohn, 2026, needs more optimization.
31 455 0.194630872484 Orthogonal union of 451 points in 29 dimensions and 4 points in 2 dimensions.
149⁢x−29
31 456 0.194632496974 Henry Cohn, 2026, needs more optimization.
31 457 0.195876219297 Henry Cohn, 2026, needs more optimization.
31 458 0.195969034924 Henry Cohn, 2026, needs more optimization.
31 459 0.196033244156 Henry Cohn, 2026, needs more optimization.
31 460 0.196260340188 Henry Cohn, 2026, needs more optimization.
31 461 0.196485284005 Henry Cohn, 2026, needs more optimization.
31 462 0.196547918616 Henry Cohn, 2026, needs more optimization.
31 463 0.196701378498 Henry Cohn, 2026, needs more optimization.
31 464 0.196818265662 Henry Cohn, 2026, needs more optimization.
31 465 0.196956713356 Henry Cohn, 2026, needs more optimization.
31 466 0.197028214168 Henry Cohn, 2026, needs more optimization.
31 467 0.197191974654 Henry Cohn, 2026, needs more optimization.
31 468 0.197380140862 Henry Cohn, 2026, needs more optimization.
31 469 0.197418871616 Henry Cohn, 2026, needs more optimization.
31 470 0.197483434170 Henry Cohn, 2026, needs more optimization.
31 471 0.197577322039 Henry Cohn, 2026, needs more optimization.
31 472 0.197630812022 Henry Cohn, 2026, needs more optimization.
31 473 0.197674996052 Henry Cohn, 2026, needs more optimization.
31 474 0.197698388718 Henry Cohn, 2026, needs more optimization.
31 475 0.197804527101 Henry Cohn, 2026, needs more optimization.
31 476 0.197871995513 Henry Cohn, 2026, needs more optimization.
31 477 0.197946523378 Henry Cohn, 2026, needs more optimization.
31 478 0.197961905715 Henry Cohn, 2026, needs more optimization.
31 479 0.198106895627 Henry Cohn, 2026, needs more optimization.
31 480 0.198138987736 Henry Cohn, 2026, needs more optimization.
31 481 0.198227097691 Henry Cohn, 2026, needs more optimization.
31 482 0.198299777073 Henry Cohn, 2026, needs more optimization.
31 483 0.198355231406 Henry Cohn, 2026, needs more optimization.
31 484 0.198405675725 Henry Cohn, 2026, needs more optimization.
31 485 0.198429802183 Henry Cohn, 2026, needs more optimization.
31 487 0.198465995389 Henry Cohn, 2026, needs more optimization.
31 488 0.198563973314 Henry Cohn, 2026, needs more optimization.
31 489 0.198595331757 Henry Cohn, 2026, needs more optimization.
31 490 0.198646668422 Henry Cohn, 2026, needs more optimization.
31 492 0.198674836532 Henry Cohn, 2026, needs more optimization.
31 493 0.198737781060 Henry Cohn, 2026, needs more optimization.
31 494 0.198771783530 Henry Cohn, 2026, needs more optimization.
31 495 0.198834242100 Henry Cohn, 2026, needs more optimization.
31 496 0.198895412761 Henry Cohn, 2026, needs more optimization.
31 497 0.198940896631 Henry Cohn, 2026, needs more optimization.
31 498 0.198974585373 Henry Cohn, 2026, needs more optimization.
31 502 0.199037232397 Henry Cohn, 2026, needs more optimization.
31 503 0.199075797496 Henry Cohn, 2026, needs more optimization.
31 504 0.199090976891 Henry Cohn, 2026, needs more optimization.
31 505 0.199092748836 Henry Cohn, 2026, needs more optimization.
31 506 0.199145287112 Henry Cohn, 2026, needs more optimization.
31 508 0.199203913036 Henry Cohn, 2026, needs more optimization.
31 509 0.199226442141 Henry Cohn, 2026, needs more optimization.
31 510 0.199257269341 Henry Cohn, 2026, needs more optimization.
31 513 0.199266043143 Henry Cohn, 2026, needs more optimization.
31 514 0.199290384373 Henry Cohn, 2026, needs more optimization.
31 515 0.199386359454 Henry Cohn, 2026, needs more optimization.
31 518 0.199431324350 Henry Cohn, 2026, needs more optimization.
31 519 0.199450433826 Henry Cohn, 2026, needs more optimization.
31 520 0.199467094158 Henry Cohn, 2026, needs more optimization.
31 521 0.199484423621 Henry Cohn, 2026, needs more optimization.
31 522 0.199516908487 Henry Cohn, 2026, needs more optimization.
31 523 0.199518645747 Henry Cohn, 2026, needs more optimization.
31 524 0.199539830344 Henry Cohn, 2026, needs more optimization.
31 525 0.199548586576 Henry Cohn, 2026, needs more optimization.
31 526 0.199560767785 Henry Cohn, 2026, needs more optimization.
31 527 0.199581827151 Henry Cohn, 2026, needs more optimization.
31 528 0.199582152082 Henry Cohn, 2026, needs more optimization.
31 529 0.199601559982 Henry Cohn, 2026, needs more optimization.
31 530 0.199639453199 Henry Cohn, 2026, needs more optimization.
31 533 0.199652689780 Henry Cohn, 2026, needs more optimization.
31 534 0.199662980760 Henry Cohn, 2026, needs more optimization.
31 535 0.199666973890 Henry Cohn, 2026, needs more optimization.
31 536 0.199698541954 Henry Cohn, 2026, needs more optimization.
31 537 0.199703586132 Henry Cohn, 2026, needs more optimization.
31 538 0.199724993288 Henry Cohn, 2026, needs more optimization.
31 539 0.199726182070 Henry Cohn, 2026, needs more optimization.
31 542 0.199732970270 Henry Cohn, 2026, needs more optimization.
31 546 0.199737858140 Henry Cohn, 2026, needs more optimization.
31 548 0.199766849123 Henry Cohn, 2026, needs more optimization.
31 550 0.199802364269 Henry Cohn, 2026, needs more optimization.
31 554 0.199817463810 Henry Cohn, 2026, needs more optimization.
31 555 0.199840963646 Henry Cohn, 2026, needs more optimization.
31 556 0.199846745191 Henry Cohn, 2026, needs more optimization.
31 557 0.199858861555 Henry Cohn, 2026, needs more optimization.
31 558 0.199881990850 Henry Cohn, 2026, needs more optimization.
31 560 0.199883290317 Henry Cohn, 2026, needs more optimization.
31 561 0.199886309844 Henry Cohn, 2026, needs more optimization.
31 562 0.199886309850 Henry Cohn, 2026, needs more optimization.
31 563 0.199897490043 Henry Cohn, 2026, needs more optimization.
31 566 0.199901115528 Henry Cohn, 2026, needs more optimization.
31 567 0.199911999656 Henry Cohn, 2026, needs more optimization.
31 570 0.199925932646 Henry Cohn, 2026, needs more optimization.
31 571 0.199943157349 Henry Cohn, 2026, needs more optimization.
31 572 0.199951940116 Henry Cohn, 2026, needs more optimization.
31 573 0.199961390953 Henry Cohn, 2026, needs more optimization.
31 575 0.199963051234 Henry Cohn, 2026, needs more optimization.
31 584 0.199973631282 Henry Cohn, 2026, needs more optimization.
31 585 0.199991613926 Henry Cohn, 2026, needs more optimization.
31 688 0.2 Henry Cohn, 2026.
5⁢x−1
31 689 0.206394308818 Henry Cohn, 2026, needs more optimization.
31 690 0.216343094809 Henry Cohn, 2026, needs more optimization.
31 691 0.216593791064 Henry Cohn, 2026, needs more optimization.
31 692 0.217012294049 Henry Cohn, 2026, needs more optimization.
31 693 0.217317172304 Henry Cohn, 2026, needs more optimization.
31 694 0.217690671347 Henry Cohn, 2026, needs more optimization.
31 695 0.217923932265 Henry Cohn, 2026, needs more optimization.
31 696 0.218112638228 Henry Cohn, 2026, needs more optimization.
31 697 0.218331251542 Henry Cohn, 2026, needs more optimization.
31 698 0.218578253536 Henry Cohn, 2026, needs more optimization.
31 699 0.218828159459 Henry Cohn, 2026, needs more optimization.
31 700 0.219092196050 Henry Cohn, 2026, needs more optimization.
31 701 0.219322829516 Henry Cohn, 2026, needs more optimization.
31 702 0.219640038295 Henry Cohn, 2026, needs more optimization.
31 703 0.219953280968 Henry Cohn, 2026, needs more optimization.
31 704 0.220231272117 Henry Cohn, 2026, needs more optimization.
31 705 0.220516208366 Henry Cohn, 2026, needs more optimization.
31 706 0.220682916105 Henry Cohn, 2026, needs more optimization.
31 707 0.220929469651 Henry Cohn, 2026, needs more optimization.
31 708 0.221185048927 Henry Cohn, 2026, needs more optimization.
31 709 0.221466620054 Henry Cohn, 2026, needs more optimization.
31 710 0.221777223947 Henry Cohn, 2026, needs more optimization.
31 711 0.222048884668 Henry Cohn, 2026, needs more optimization.
31 712 0.222264519964 Henry Cohn, 2026, needs more optimization.
31 713 0.222547633647 Henry Cohn, 2026, needs more optimization.
31 714 0.222752004307 Henry Cohn, 2026, needs more optimization.
31 715 0.223043324575 Henry Cohn, 2026, needs more optimization.
31 716 0.223299629333 Henry Cohn, 2026, needs more optimization.
31 717 0.223591136839 Henry Cohn, 2026, needs more optimization.
31 718 0.223887398800 Henry Cohn, 2026, needs more optimization.
31 719 0.224150321083 Henry Cohn, 2026, needs more optimization.
31 720 0.224419875905 Henry Cohn, 2026, needs more optimization.
31 721 0.224606910323 Henry Cohn, 2026, needs more optimization.
31 722 0.224886094089 Henry Cohn, 2026, needs more optimization.
31 723 0.225124593978 Henry Cohn, 2026, needs more optimization.
31 724 0.225404129151 Henry Cohn, 2026, needs more optimization.
31 725 0.225505634551 Henry Cohn, 2026, needs more optimization.
31 726 0.225832504910 Henry Cohn, 2026, needs more optimization.
31 727 0.226043131701 Henry Cohn, 2026, needs more optimization.
31 728 0.226237907712 Henry Cohn, 2026, needs more optimization.
31 729 0.226563963279 Henry Cohn, 2026, needs more optimization.
31 730 0.226672137262 Henry Cohn, 2026, needs more optimization.
31 731 0.226949014663 Henry Cohn, 2026, needs more optimization.
31 732 0.227201247649 Henry Cohn, 2026, needs more optimization.
31 733 0.227363429178 Henry Cohn, 2026, needs more optimization.
31 734 0.227667034875 Henry Cohn, 2026, needs more optimization.
31 735 0.227808136344 Henry Cohn, 2026, needs more optimization.
31 736 0.228096075316 Henry Cohn, 2026, needs more optimization.
31 737 0.228314145130 Henry Cohn, 2026, needs more optimization.
31 738 0.228626789755 Henry Cohn, 2026, needs more optimization.
31 739 0.228827005938 Henry Cohn, 2026, needs more optimization.
31 740 0.229060973359 Henry Cohn, 2026, needs more optimization.
31 741 0.229258564502 Henry Cohn, 2026, needs more optimization.
31 742 0.229439628834 Henry Cohn, 2026, needs more optimization.
31 743 0.229752247109 Henry Cohn, 2026, needs more optimization.
31 744 0.230007098187 Henry Cohn, 2026, needs more optimization.
31 745 0.230230925424 Henry Cohn, 2026, needs more optimization.
31 746 0.230451832606 Henry Cohn, 2026, needs more optimization.
31 747 0.230706316168 Henry Cohn, 2026, needs more optimization.
31 748 0.230909211852 Henry Cohn, 2026, needs more optimization.
31 749 0.231044966936 Henry Cohn, 2026, needs more optimization.
31 750 0.231295180652 Henry Cohn, 2026, needs more optimization.
31 751 0.231529860759 Henry Cohn, 2026, needs more optimization.
31 752 0.231760566502 Henry Cohn, 2026, needs more optimization.
31 753 0.231962763258 Henry Cohn, 2026, needs more optimization.
31 754 0.232138648518 Henry Cohn, 2026, needs more optimization.
31 755 0.232304871570 Henry Cohn, 2026, needs more optimization.
31 756 0.232474469376 Henry Cohn, 2026, needs more optimization.
31 757 0.232587258207 Henry Cohn, 2026, needs more optimization.
31 758 0.232805756562 Henry Cohn, 2026, needs more optimization.
31 759 0.233082857839 Henry Cohn, 2026, needs more optimization.
31 760 0.233246687118 Henry Cohn, 2026, needs more optimization.
31 761 0.233486668730 Henry Cohn, 2026, needs more optimization.
31 762 0.233586903110 Henry Cohn, 2026, needs more optimization.
31 763 0.233885760395 Henry Cohn, 2026, needs more optimization.
31 764 0.234047514598 Henry Cohn, 2026, needs more optimization.
31 765 0.234198041220 Henry Cohn, 2026, needs more optimization.
31 766 0.234382741768 Henry Cohn, 2026, needs more optimization.
31 767 0.234583557342 Henry Cohn, 2026, needs more optimization.
31 768 0.234763557527 Henry Cohn, 2026, needs more optimization.
31 769 0.234901322750 Henry Cohn, 2026, needs more optimization.
31 770 0.235038381828 Henry Cohn, 2026, needs more optimization.
31 771 0.235209465933 Henry Cohn, 2026, needs more optimization.
31 772 0.235447597812 Henry Cohn, 2026, needs more optimization.
31 773 0.235663735134 Henry Cohn, 2026, needs more optimization.
31 774 0.235813879341 Henry Cohn, 2026, needs more optimization.
31 775 0.236049360860 Henry Cohn, 2026, needs more optimization.
31 776 0.236179746869 Henry Cohn, 2026, needs more optimization.
31 777 0.236354308566 Henry Cohn, 2026, needs more optimization.
31 778 0.236589765699 Henry Cohn, 2026, needs more optimization.
31 779 0.236760582648 Henry Cohn, 2026, needs more optimization.
31 780 0.236979731767 Henry Cohn, 2026, needs more optimization.
31 781 0.237148349839 Henry Cohn, 2026, needs more optimization.
31 782 0.237370504128 Henry Cohn, 2026, needs more optimization.
31 783 0.237544698909 Henry Cohn, 2026, needs more optimization.
31 784 0.237782562882 Henry Cohn, 2026, needs more optimization.
31 1024 0.238095238096 Henry Cohn, 2026.
21⁢x−5
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 0.029441153101 Henry Cohn, 2026.
32 67 0.036593565615 Henry Cohn, 2026, needs more optimization.
32 68 0.036921898559 Henry Cohn, 2026.
32 69 0.037652090605 Henry Cohn, 2026.
32 70 0.040601605100 Henry Cohn, 2026, needs more optimization.
32 71 0.043042345588 Henry Cohn, 2026, needs more optimization.
32 72 0.043340506635 Henry Cohn, 2026, needs more optimization.
32 73 0.043649527601 Henry Cohn, 2026, needs more optimization.
32 74 0.044346290735 Henry Cohn, 2026, needs more optimization.
32 75 0.046983087351 Henry Cohn, 2026, needs more optimization.
32 76 0.048916158897 Henry Cohn, 2026, needs more optimization.
32 77 0.049882260350 Henry Cohn, 2026, needs more optimization.
32 78 0.051414444810 Henry Cohn, 2026, needs more optimization.
32 79 0.053166694893 Henry Cohn, 2026, needs more optimization.
32 80 0.054716199899 Henry Cohn, 2026, needs more optimization.
32 81 0.055651586296 Henry Cohn, 2026, needs more optimization.
32 82 0.056964486782 Henry Cohn, 2026, needs more optimization.
32 83 0.058225444672 Henry Cohn, 2026, needs more optimization.
32 84 0.059657784392 Henry Cohn, 2026, needs more optimization.
32 85 0.060925480895 Henry Cohn, 2026, needs more optimization.
32 86 0.061924997346 Henry Cohn, 2026, needs more optimization.
32 87 0.063171707740 Henry Cohn, 2026, needs more optimization.
32 88 0.064359806694 Henry Cohn, 2026, needs more optimization.
32 89 0.065582105025 Henry Cohn, 2026, needs more optimization.
32 90 0.066403448391 Henry Cohn, 2026, needs more optimization.
32 91 0.067775431578 Henry Cohn, 2026, needs more optimization.
32 92 0.068708894786 Henry Cohn, 2026, needs more optimization.
32 93 0.069830639940 Henry Cohn, 2026, needs more optimization.
32 94 0.070634408682 Henry Cohn, 2026, needs more optimization.
32 95 0.071715164404 Henry Cohn, 2026, needs more optimization.
32 96 0.072860781694 Henry Cohn, 2026, needs more optimization.
32 97 0.073898376460 Henry Cohn, 2026, needs more optimization.
32 98 0.074088901305 Henry Cohn, 2026, needs more optimization.
32 99 0.074680739147 Henry Cohn, 2026, needs more optimization.
32 100 0.075274765242 Henry Cohn, 2026, needs more optimization.
32 101 0.075940927512 Henry Cohn, 2026, needs more optimization.
32 102 0.076146477049 Henry Cohn, 2026, needs more optimization.
32 103 0.076809512588 Henry Cohn, 2026, needs more optimization.
32 104 0.076963571339 Henry Cohn, 2026, needs more optimization.
32 105 0.077085243521 Henry Cohn, 2026, needs more optimization.
32 106 0.077298261375 Henry Cohn, 2026, needs more optimization.
32 107 0.077429837673 Henry Cohn, 2026, needs more optimization.
32 108 0.077645592628 Henry Cohn, 2026, needs more optimization.
32 109 0.077735185877 Henry Cohn, 2026, needs more optimization.
32 110 0.078037359868 Henry Cohn, 2026, needs more optimization.
32 111 0.078890319865 Henry Cohn, 2026, needs more optimization.
32 112 0.079498083714 Henry Cohn, 2026, needs more optimization.
32 113 0.079894749350 Henry Cohn, 2026, needs more optimization.
32 114 0.080474568091 Henry Cohn, 2026, needs more optimization.
32 115 0.080617065836 Henry Cohn, 2026, needs more optimization.
32 116 0.080914991767 Henry Cohn, 2026, needs more optimization.
32 117 0.080994875491 Henry Cohn, 2026, needs more optimization.
32 118 0.081659658551 Henry Cohn, 2026, needs more optimization.
32 119 0.082502674851 Henry Cohn, 2026, needs more optimization.
32 120 0.083465319900 Henry Cohn, 2026, needs more optimization.
32 121 0.084548770090 Henry Cohn, 2026, needs more optimization.
32 122 0.085353236109 Henry Cohn, 2026, needs more optimization.
32 123 0.086443364914 Henry Cohn, 2026, needs more optimization.
32 124 0.086625363929 Henry Cohn, 2026, needs more optimization.
32 125 0.086734876454 Henry Cohn, 2026, needs more optimization.
32 126 0.086942771023 Henry Cohn, 2026, needs more optimization.
32 127 0.088536774212 Henry Cohn, 2026, needs more optimization.
32 128 0.088919727479 Henry Cohn, 2026, needs more optimization.
32 129 0.089215488925 Henry Cohn, 2026, needs more optimization.
32 130 0.089598861480 Henry Cohn, 2026, needs more optimization.
32 131 0.089746239314 Henry Cohn, 2026, needs more optimization.
32 132 0.089803874453 Henry Cohn, 2026, needs more optimization.
32 133 0.090010852193 Henry Cohn, 2026, needs more optimization.
32 134 0.090100581520 Henry Cohn, 2026, needs more optimization.
32 135 0.090204241843 Henry Cohn, 2026, needs more optimization.
32 136 0.090810948303 Henry Cohn, 2026, needs more optimization.
32 137 0.091887611913 Henry Cohn, 2026, needs more optimization.
32 138 0.093011047918 Henry Cohn, 2026, needs more optimization.
32 139 0.094049205271 Henry Cohn, 2026, needs more optimization.
32 140 0.094496703581 Henry Cohn, 2026, needs more optimization.
32 141 0.095647142429 Henry Cohn, 2026, needs more optimization.
32 142 0.096750635771 Henry Cohn, 2026, needs more optimization.
32 143 0.097565967597 Henry Cohn, 2026, needs more optimization.
32 144 0.098908270301 Henry Cohn, 2026, needs more optimization.
32 145 0.099761728476 Henry Cohn, 2026, needs more optimization.
32 146 0.100696525721 Henry Cohn, 2026, needs more optimization.
32 147 0.101221673934 Henry Cohn, 2026, needs more optimization.
32 148 0.102455032221 Henry Cohn, 2026, needs more optimization.
32 149 0.102456529520 Henry Cohn, 2026, needs more optimization.
32 150 0.102501381006 Henry Cohn, 2026, needs more optimization.
32 151 0.102501448683 Henry Cohn, 2026, needs more optimization.
32 152 0.102632642153 Henry Cohn, 2026, needs more optimization.
32 153 0.103185564150 Henry Cohn, 2026, needs more optimization.
32 154 0.103940664404 Henry Cohn, 2026, needs more optimization.
32 155 0.105129923089 Henry Cohn, 2026, needs more optimization.
32 156 0.105926665918 Henry Cohn, 2026, needs more optimization.
32 157 0.106533005044 Henry Cohn, 2026, needs more optimization.
32 158 0.107102606706 Henry Cohn, 2026, needs more optimization.
32 159 0.107330372174 Henry Cohn, 2026, needs more optimization.
32 160 0.107702511250 Henry Cohn, 2026, needs more optimization.
32 161 0.107941781667 Henry Cohn, 2026, needs more optimization.
32 162 0.108560066622 Henry Cohn, 2026, needs more optimization.
32 163 0.109016582066 Henry Cohn, 2026, needs more optimization.
32 164 0.109560375447 Henry Cohn, 2026, needs more optimization.
32 165 0.110156845380 Henry Cohn, 2026, needs more optimization.
32 166 0.110631224937 Henry Cohn, 2026, needs more optimization.
32 167 0.111509042505 Henry Cohn, 2026, needs more optimization.
32 168 0.112375842393 Henry Cohn, 2026, needs more optimization.
32 169 0.112798832566 Henry Cohn, 2026, needs more optimization.
32 170 0.113547827212 Henry Cohn, 2026, needs more optimization.
32 171 0.115022966250 Henry Cohn, 2026, needs more optimization.
32 172 0.115840284719 Henry Cohn, 2026, needs more optimization.
32 173 0.116658212406 Henry Cohn, 2026, needs more optimization.
32 174 0.117549582248 Henry Cohn, 2026, needs more optimization.
32 175 0.118177394537 Henry Cohn, 2026, needs more optimization.
32 176 0.119025618260 Henry Cohn, 2026, needs more optimization.
32 177 0.119592725479 Henry Cohn, 2026, needs more optimization.
32 178 0.120418872556 Henry Cohn, 2026, needs more optimization.
32 179 0.121444615748 Henry Cohn, 2026, needs more optimization.
32 180 0.121966363186 Henry Cohn, 2026, needs more optimization.
32 181 0.122754483680 Henry Cohn, 2026, needs more optimization.
32 182 0.123469211836 Henry Cohn, 2026, needs more optimization.
32 183 0.124137146124 Henry Cohn, 2026, needs more optimization.
32 184 0.125019992123 Henry Cohn, 2026, needs more optimization.
32 185 0.125751758172 Henry Cohn, 2026, needs more optimization.
32 186 0.126202970908 Henry Cohn, 2026, needs more optimization.
32 187 0.126981387371 Henry Cohn, 2026, needs more optimization.
32 188 0.127638593883 Henry Cohn, 2026, needs more optimization.
32 189 0.128172541160 Henry Cohn, 2026, needs more optimization.
32 190 0.128172541164 Henry Cohn, 2026, needs more optimization.
32 191 0.128230501124 Henry Cohn, 2026, needs more optimization.
32 192 0.128230501870 Henry Cohn, 2026, needs more optimization.
32 193 0.128234054889 Henry Cohn, 2026, needs more optimization.
32 194 0.128236115543 Henry Cohn, 2026, needs more optimization.
32 195 0.128240227464 Henry Cohn, 2026, needs more optimization.
32 196 0.128248208702 Henry Cohn, 2026, needs more optimization.
32 197 0.128256214874 Henry Cohn, 2026, needs more optimization.
32 198 0.128320988666 Henry Cohn, 2026, needs more optimization.
32 199 0.128671177208 Henry Cohn, 2026, needs more optimization.
32 200 0.129107192917 Henry Cohn, 2026, needs more optimization.
32 201 0.129627922602 Henry Cohn, 2026, needs more optimization.
32 202 0.130012814235 Henry Cohn, 2026, needs more optimization.
32 203 0.130691457443 Henry Cohn, 2026, needs more optimization.
32 204 0.131149908346 Henry Cohn, 2026, needs more optimization.
32 205 0.132049369032 Henry Cohn, 2026, needs more optimization.
32 206 0.132801226688 Henry Cohn, 2026, needs more optimization.
32 207 0.133620898694 Henry Cohn, 2026, needs more optimization.
32 208 0.134420452531 Henry Cohn, 2026, needs more optimization.
32 209 0.134560054280 Henry Cohn, 2026, needs more optimization.
32 210 0.134993085245 Henry Cohn, 2026, needs more optimization.
32 211 0.135574181636 Henry Cohn, 2026, needs more optimization.
32 212 0.135902304507 Henry Cohn, 2026, needs more optimization.
32 213 0.136448417876 Henry Cohn, 2026, needs more optimization.
32 214 0.136794543168 Henry Cohn, 2026, needs more optimization.
32 215 0.137422336857 Henry Cohn, 2026, needs more optimization.
32 216 0.137930063425 Henry Cohn, 2026, needs more optimization.
32 217 0.138574439019 Henry Cohn, 2026, needs more optimization.
32 218 0.138900508220 Henry Cohn, 2026, needs more optimization.
32 219 0.139255310602 Henry Cohn, 2026, needs more optimization.
32 220 0.140166164350 Henry Cohn, 2026, needs more optimization.
32 221 0.140299778093 Henry Cohn, 2026, needs more optimization.
32 222 0.140460033508 Henry Cohn, 2026, needs more optimization.
32 223 0.140540812659 Henry Cohn, 2026, needs more optimization.
32 224 0.140701187055 Henry Cohn, 2026, needs more optimization.
32 225 0.140757070055 Henry Cohn, 2026, needs more optimization.
32 226 0.140896405506 Henry Cohn, 2026, needs more optimization.
32 227 0.141141532154 Henry Cohn, 2026, needs more optimization.
32 228 0.141248061485 Henry Cohn, 2026, needs more optimization.
32 229 0.141420902706 Henry Cohn, 2026, needs more optimization.
32 230 0.141503617201 Henry Cohn, 2026, needs more optimization.
32 231 0.141750647814 Henry Cohn, 2026, needs more optimization.
32 232 0.141909132853 Henry Cohn, 2026, needs more optimization.
32 233 0.142036356703 Henry Cohn, 2026, needs more optimization.
32 234 0.142131438963 Henry Cohn, 2026, needs more optimization.
32 235 0.142468976374 Henry Cohn, 2026, needs more optimization.
32 236 0.142699837566 Henry Cohn, 2026, needs more optimization.
32 237 0.142777469639 Henry Cohn, 2026, needs more optimization.
32 238 0.142903038419 Henry Cohn, 2026, needs more optimization.
32 239 0.143079482003 Henry Cohn, 2026, needs more optimization.
32 240 0.143627436472 Henry Cohn, 2026, needs more optimization.
32 241 0.143698079386 Henry Cohn, 2026, needs more optimization.
32 242 0.143937083900 Henry Cohn, 2026, needs more optimization.
32 243 0.144263568653 Henry Cohn, 2026, needs more optimization.
32 244 0.144649090075 Henry Cohn, 2026, needs more optimization.
32 245 0.144878666197 Henry Cohn, 2026, needs more optimization.
32 246 0.144958594754 Henry Cohn, 2026, needs more optimization.
32 247 0.145091808629 Henry Cohn, 2026, needs more optimization.
32 248 0.145394705093 Henry Cohn, 2026, needs more optimization.
32 249 0.145606557403 Henry Cohn, 2026, needs more optimization.
32 250 0.145794248327 Henry Cohn, 2026, needs more optimization.
32 251 0.146021468323 Henry Cohn, 2026, needs more optimization.
32 252 0.146061573986 Henry Cohn, 2026, needs more optimization.
32 253 0.146263772220 Henry Cohn, 2026, needs more optimization.
32 254 0.146396195822 Henry Cohn, 2026, needs more optimization.
32 255 0.146486267216 Henry Cohn, 2026, needs more optimization.
32 256 0.146625842756 Henry Cohn, 2026, needs more optimization.
32 257 0.146627606420 Henry Cohn, 2026, needs more optimization.
32 258 0.146745447584 Henry Cohn, 2026, needs more optimization.
32 259 0.146917399928 Henry Cohn, 2026, needs more optimization.
32 260 0.147277686984 Henry Cohn, 2026, needs more optimization.
32 261 0.147520232391 Henry Cohn, 2026, needs more optimization.
32 262 0.147924717813 Henry Cohn, 2026, needs more optimization.
32 263 0.147943904504 Henry Cohn, 2026, needs more optimization.
32 264 0.148070037810 Henry Cohn, 2026, needs more optimization.
32 265 0.148211227743 Henry Cohn, 2026, needs more optimization.
32 266 0.148412357774 Henry Cohn, 2026, needs more optimization.
32 267 0.148528168034 Henry Cohn, 2026, needs more optimization.
32 268 0.148669195772 Henry Cohn, 2026, needs more optimization.
32 269 0.148969302602 Henry Cohn, 2026, needs more optimization.
32 270 0.149163404137 Henry Cohn, 2026, needs more optimization.
32 271 0.149385475880 Henry Cohn, 2026, needs more optimization.
32 272 0.149937158229 Henry Cohn, 2026, needs more optimization.
32 273 0.150479357446 Henry Cohn, 2026, needs more optimization.
32 274 0.150936359210 Henry Cohn, 2026, needs more optimization.
32 275 0.151479954868 Henry Cohn, 2026, needs more optimization.
32 276 0.151954376552 Henry Cohn, 2026, needs more optimization.
32 277 0.152592950095 Henry Cohn, 2026, needs more optimization.
32 278 0.152878974269 Henry Cohn, 2026, needs more optimization.
32 279 0.153143463384 Henry Cohn, 2026, needs more optimization.
32 280 0.153351832637 Henry Cohn, 2026, needs more optimization.
32 281 0.153757853210 Henry Cohn, 2026, needs more optimization.
32 282 0.154203148453 Henry Cohn, 2026, needs more optimization.
32 283 0.154495821677 Henry Cohn, 2026, needs more optimization.
32 284 0.155110859446 Henry Cohn, 2026, needs more optimization.
32 285 0.155480444602 Henry Cohn, 2026, needs more optimization.
32 286 0.155934313022 Henry Cohn, 2026, needs more optimization.
32 287 0.156465082921 Henry Cohn, 2026, needs more optimization.
32 288 0.156841513546 Henry Cohn, 2026, needs more optimization.
32 289 0.157180714457 Henry Cohn, 2026, needs more optimization.
32 290 0.157715287694 Henry Cohn, 2026, needs more optimization.
32 291 0.157969527752 Henry Cohn, 2026, needs more optimization.
32 292 0.158434149832 Henry Cohn, 2026, needs more optimization.
32 293 0.158749423407 Henry Cohn, 2026, needs more optimization.
32 294 0.159105839304 Henry Cohn, 2026, needs more optimization.
32 295 0.159474225796 Henry Cohn, 2026, needs more optimization.
32 296 0.160053774784 Henry Cohn, 2026, needs more optimization.
32 297 0.160353252724 Henry Cohn, 2026, needs more optimization.
32 298 0.160827003537 Henry Cohn, 2026, needs more optimization.
32 299 0.160994748129 Henry Cohn, 2026, needs more optimization.
32 300 0.161013561255 Henry Cohn, 2026, needs more optimization.
32 301 0.161042088114 Henry Cohn, 2026, needs more optimization.
32 302 0.161178545198 Henry Cohn, 2026, needs more optimization.
32 303 0.161358141147 Henry Cohn, 2026, needs more optimization.
32 304 0.161464695177 Henry Cohn, 2026, needs more optimization.
32 305 0.161545475099 Henry Cohn, 2026, needs more optimization.
32 306 0.161545479137 Henry Cohn, 2026, needs more optimization.
32 307 0.161661644041 Henry Cohn, 2026, needs more optimization.
32 308 0.161722515941 Henry Cohn, 2026, needs more optimization.
32 309 0.161823503798 Henry Cohn, 2026, needs more optimization.
32 310 0.161861038448 Henry Cohn, 2026, needs more optimization.
32 311 0.161924877170 Henry Cohn, 2026, needs more optimization.
32 312 0.161963955866 Henry Cohn, 2026, needs more optimization.
32 313 0.162026610859 Henry Cohn, 2026, needs more optimization.
32 314 0.162081959026 Henry Cohn, 2026, needs more optimization.
32 315 0.162139921364 Henry Cohn, 2026, needs more optimization.
32 316 0.162229297866 Henry Cohn, 2026, needs more optimization.
32 317 0.162331296141 Henry Cohn, 2026, needs more optimization.
32 318 0.162372002669 Henry Cohn, 2026, needs more optimization.
32 319 0.162449855073 Henry Cohn, 2026, needs more optimization.
32 320 0.162528047728 Henry Cohn, 2026, needs more optimization.
32 321 0.162579201330 Henry Cohn, 2026, needs more optimization.
32 322 0.162662875693 Henry Cohn, 2026, needs more optimization.
32 323 0.162760128211 Henry Cohn, 2026, needs more optimization.
32 324 0.162871694515 Henry Cohn, 2026, needs more optimization.
32 325 0.163007875847 Henry Cohn, 2026, needs more optimization.
32 326 0.163117829131 Henry Cohn, 2026, needs more optimization.
32 327 0.163210829600 Henry Cohn, 2026, needs more optimization.
32 328 0.163265144106 Henry Cohn, 2026, needs more optimization.
32 329 0.163348268334 Henry Cohn, 2026, needs more optimization.
32 330 0.163430830727 Henry Cohn, 2026, needs more optimization.
32 331 0.163533603189 Henry Cohn, 2026, needs more optimization.
32 332 0.163637013317 Henry Cohn, 2026, needs more optimization.
32 333 0.163762448744 Henry Cohn, 2026, needs more optimization.
32 334 0.163860598541 Henry Cohn, 2026, needs more optimization.
32 335 0.163954119110 Henry Cohn, 2026, needs more optimization.
32 336 0.164075590724 Henry Cohn, 2026, needs more optimization.
32 337 0.164197515844 Henry Cohn, 2026, needs more optimization.
32 338 0.164335822812 Henry Cohn, 2026, needs more optimization.
32 339 0.164499145628 Henry Cohn, 2026, needs more optimization.
32 340 0.164604443400 Henry Cohn, 2026, needs more optimization.
32 341 0.164697392322 Henry Cohn, 2026, needs more optimization.
32 342 0.164785908603 Henry Cohn, 2026, needs more optimization.
32 343 0.164907240246 Henry Cohn, 2026, needs more optimization.
32 344 0.164975626044 Henry Cohn, 2026, needs more optimization.
32 345 0.165068160196 Henry Cohn, 2026, needs more optimization.
32 346 0.165173276943 Henry Cohn, 2026, needs more optimization.
32 347 0.165342509877 Henry Cohn, 2026, needs more optimization.
32 348 0.165470872991 Henry Cohn, 2026, needs more optimization.
32 349 0.165603984034 Henry Cohn, 2026, needs more optimization.
32 350 0.165721099862 Henry Cohn, 2026, needs more optimization.
32 351 0.165837831232 Henry Cohn, 2026, needs more optimization.
32 352 0.165979687450 Henry Cohn, 2026, needs more optimization.
32 353 0.166100159628 Henry Cohn, 2026, needs more optimization.
32 354 0.166292418384 Henry Cohn, 2026, needs more optimization.
32 355 0.166495439284 Henry Cohn, 2026, needs more optimization.
32 356 0.166714745711 Henry Cohn, 2026, needs more optimization.
32 357 0.166730454454 Henry Cohn, 2026, needs more optimization.
32 358 0.166761199058 Henry Cohn, 2026, needs more optimization.
32 359 0.166825878104 Henry Cohn, 2026, needs more optimization.
32 360 0.167083937976 Henry Cohn, 2026, needs more optimization.
32 361 0.171473915499 Orthogonal union of 359 points in 31 dimensions and 2 points in 1 dimension.
32 362 0.171799506327 Orthogonal union of 360 points in 31 dimensions and 2 points in 1 dimension.
32 363 0.177322086194 Henry Cohn, 2026, needs more optimization.
32 364 0.177343819162 Henry Cohn, 2026, needs more optimization.
32 365 0.177355748200 Henry Cohn, 2026, needs more optimization.
32 366 0.177381774891 Henry Cohn, 2026, needs more optimization.
32 367 0.177406377710 Henry Cohn, 2026, needs more optimization.
32 368 0.177906744336 Henry Cohn, 2026, needs more optimization.
32 370 0.177949297611 Henry Cohn, 2026, needs more optimization.
32 371 0.177972987201 Henry Cohn, 2026, needs more optimization.
32 372 0.178008973437 Henry Cohn, 2026, needs more optimization.
32 373 0.178216100018 Henry Cohn, 2026, needs more optimization.
32 374 0.178217530858 Henry Cohn, 2026, needs more optimization.
32 376 0.178255851482 Henry Cohn, 2026, needs more optimization.
32 378 0.178313229545 Henry Cohn, 2026, needs more optimization.
32 379 0.178368548631 Henry Cohn, 2026, needs more optimization.
32 381 0.178578421446 Henry Cohn, 2026, needs more optimization.
32 382 0.178584053610 Henry Cohn, 2026, needs more optimization.
32 384 0.178608368680 Henry Cohn, 2026, needs more optimization.
32 385 0.178610083225 Henry Cohn, 2026, needs more optimization.
32 386 0.178626750285 Henry Cohn, 2026, needs more optimization.
32 387 0.178640808738 Henry Cohn, 2026, needs more optimization.
32 388 0.178669534078 Henry Cohn, 2026, needs more optimization.
32 389 0.178673806119 Henry Cohn, 2026, needs more optimization.
32 390 0.178698625788 Henry Cohn, 2026, needs more optimization.
32 391 0.178741647892 Henry Cohn, 2026, needs more optimization.
32 392 0.178784168375 Henry Cohn, 2026, needs more optimization.
32 393 0.178852298879 Henry Cohn, 2026, needs more optimization.
32 394 0.178870067208 Henry Cohn, 2026, needs more optimization.
32 395 0.178889949735 Henry Cohn, 2026, needs more optimization.
32 396 0.178964032426 Henry Cohn, 2026, needs more optimization.
32 397 0.179085512493 Henry Cohn, 2026, needs more optimization.
32 398 0.179502545343 Henry Cohn, 2026, needs more optimization.
32 399 0.179790691504 Henry Cohn, 2026, needs more optimization.
32 400 0.180095042699 Henry Cohn, 2026, needs more optimization.
32 401 0.180223016182 Henry Cohn, 2026, needs more optimization.
32 402 0.180467028107 Henry Cohn, 2026, needs more optimization.
32 403 0.180920202702 Henry Cohn, 2026, needs more optimization.
32 404 0.180978739636 Henry Cohn, 2026, needs more optimization.
32 405 0.181402965864 Henry Cohn, 2026, needs more optimization.
32 406 0.181636508811 Henry Cohn, 2026, needs more optimization.
32 407 0.181642409109 Henry Cohn, 2026, needs more optimization.
32 408 0.182325914218 Henry Cohn, 2026, needs more optimization.
32 409 0.182430197050 Henry Cohn, 2026, needs more optimization.
32 410 0.182632614126 Henry Cohn, 2026, needs more optimization.
32 411 0.182932427206 Henry Cohn, 2026, needs more optimization.
32 412 0.183024779302 Henry Cohn, 2026, needs more optimization.
32 413 0.183198129969 Henry Cohn, 2026, needs more optimization.
32 414 0.183322523170 Henry Cohn, 2026, needs more optimization.
32 415 0.183604996431 Henry Cohn, 2026, needs more optimization.
32 416 0.184011757400 Henry Cohn, 2026, needs more optimization.
32 417 0.184188127061 Henry Cohn, 2026, needs more optimization.
32 418 0.184686402197 Henry Cohn, 2026, needs more optimization.
32 419 0.185003425921 Henry Cohn, 2026, needs more optimization.
32 420 0.185164308113 Henry Cohn, 2026, needs more optimization.
32 421 0.185710485044 Henry Cohn, 2026, needs more optimization.
32 422 0.185957306579 Henry Cohn, 2026, needs more optimization.
32 423 0.186187857920 Henry Cohn, 2026, needs more optimization.
32 424 0.186288022511 Henry Cohn, 2026, needs more optimization.
32 425 0.186317772745 Henry Cohn, 2026, needs more optimization.
32 426 0.186391491059 Henry Cohn, 2026, needs more optimization.
32 427 0.186685547614 Henry Cohn, 2026, needs more optimization.
32 428 0.187167442860 Henry Cohn, 2026, needs more optimization.
32 429 0.187498786909 Henry Cohn, 2026, needs more optimization.
32 430 0.187619255632 Henry Cohn, 2026, needs more optimization.
32 431 0.187771875643 Henry Cohn, 2026, needs more optimization.
32 432 0.188399333510 Henry Cohn, 2026, needs more optimization.
32 433 0.188592035209 Henry Cohn, 2026, needs more optimization.
32 434 0.188698354048 Henry Cohn, 2026, needs more optimization.
32 435 0.188732953467 Henry Cohn, 2026, needs more optimization.
32 436 0.189001362215 Henry Cohn, 2026, needs more optimization.
32 437 0.189044991427 Henry Cohn, 2026, needs more optimization.
32 438 0.189132846875 Henry Cohn, 2026, needs more optimization.
32 439 0.189393055650 Henry Cohn, 2026, needs more optimization.
32 440 0.189595721158 Henry Cohn, 2026, needs more optimization.
32 441 0.189706102814 Henry Cohn, 2026, needs more optimization.
32 442 0.189910546668 Henry Cohn, 2026, needs more optimization.
32 443 0.190002488527 Henry Cohn, 2026, needs more optimization.
32 444 0.190086310372 Henry Cohn, 2026, needs more optimization.
32 445 0.190125829008 Henry Cohn, 2026, needs more optimization.
32 446 0.190217695336 Henry Cohn, 2026, needs more optimization.
32 447 0.190488915426 Henry Cohn, 2026, needs more optimization.
32 448 0.190724790565 Henry Cohn, 2026, needs more optimization.
32 449 0.191230639167 Henry Cohn, 2026, needs more optimization.
32 450 0.191314591288 Henry Cohn, 2026, needs more optimization.
32 451 0.191527601352 Henry Cohn, 2026, needs more optimization.
32 452 0.191601541901 Henry Cohn, 2026, needs more optimization.
32 453 0.191663345495 Henry Cohn, 2026, needs more optimization.
32 454 0.191707359832 Henry Cohn, 2026, needs more optimization.
32 455 0.191876099246 Henry Cohn, 2026, needs more optimization.
32 456 0.192095681100 Henry Cohn, 2026, needs more optimization.
32 457 0.192183079790 Henry Cohn, 2026, needs more optimization.
32 458 0.192217285327 Henry Cohn, 2026, needs more optimization.
32 459 0.192493157063 Henry Cohn, 2026, needs more optimization.
32 460 0.192632142858 Henry Cohn, 2026, needs more optimization.
32 461 0.192701408834 Henry Cohn, 2026, needs more optimization.
32 462 0.192930181404 Henry Cohn, 2026, needs more optimization.
32 463 0.193038737349 Henry Cohn, 2026, needs more optimization.
32 464 0.193225115964 Henry Cohn, 2026, needs more optimization.
32 465 0.193280227481 Henry Cohn, 2026, needs more optimization.
32 466 0.193537739643 Henry Cohn, 2026, needs more optimization.
32 467 0.193692090491 Henry Cohn, 2026, needs more optimization.
32 468 0.193782461962 Henry Cohn, 2026, needs more optimization.
32 469 0.194062194830 Henry Cohn, 2026, needs more optimization.
32 470 0.194124356079 Henry Cohn, 2026, needs more optimization.
32 471 0.194173544683 Henry Cohn, 2026, needs more optimization.
32 472 0.194197317895 Henry Cohn, 2026, needs more optimization.
32 473 0.194399918862 Henry Cohn, 2026, needs more optimization.
32 474 0.194467287633 Henry Cohn, 2026, needs more optimization.
32 475 0.194510625805 Henry Cohn, 2026, needs more optimization.
32 476 0.194560708764 Henry Cohn, 2026, needs more optimization.
32 477 0.194744839767 Henry Cohn, 2026, needs more optimization.
32 478 0.194841724955 Henry Cohn, 2026, needs more optimization.
32 479 0.194949288605 Henry Cohn, 2026, needs more optimization.
32 528 0.195121951220 Henry Cohn, 2026.
41⁢x−8
32 530 0.199443254205 Henry Cohn, 2026, needs more optimization.
32 534 0.199461067451 Henry Cohn, 2026, needs more optimization.
32 536 0.199464104306 Henry Cohn, 2026, needs more optimization.
32 538 0.199488712147 Henry Cohn, 2026, needs more optimization.
32 541 0.199525615353 Henry Cohn, 2026, needs more optimization.
32 543 0.199628760251 Henry Cohn, 2026, needs more optimization.
32 547 0.199665901945 Henry Cohn, 2026, needs more optimization.
32 548 0.199679347360 Henry Cohn, 2026, needs more optimization.
32 551 0.199692763531 Henry Cohn, 2026, needs more optimization.
32 554 0.199703010506 Henry Cohn, 2026, needs more optimization.
32 556 0.199714508438 Henry Cohn, 2026, needs more optimization.
32 559 0.199733255744 Henry Cohn, 2026, needs more optimization.
32 560 0.199733631725 Henry Cohn, 2026, needs more optimization.
32 562 0.199751022641 Henry Cohn, 2026, needs more optimization.
32 564 0.199751971023 Henry Cohn, 2026, needs more optimization.
32 567 0.199764904236 Henry Cohn, 2026, needs more optimization.
32 568 0.199765270626 Henry Cohn, 2026, needs more optimization.
32 569 0.199776166051 Henry Cohn, 2026, needs more optimization.
32 571 0.199780588480 Henry Cohn, 2026, needs more optimization.
32 573 0.199782790852 Henry Cohn, 2026, needs more optimization.
32 575 0.199810902354 Henry Cohn, 2026, needs more optimization.
32 576 0.199819375885 Henry Cohn, 2026, needs more optimization.
32 577 0.199823108658 Henry Cohn, 2026, needs more optimization.
32 578 0.199830733253 Henry Cohn, 2026, needs more optimization.
32 581 0.199842598507 Henry Cohn, 2026, needs more optimization.
32 582 0.199844288547 Henry Cohn, 2026, needs more optimization.
32 584 0.199867467739 Henry Cohn, 2026, needs more optimization.
32 590 0.199885655914 Henry Cohn, 2026, needs more optimization.
32 591 0.199900690209 Henry Cohn, 2026, needs more optimization.
32 595 0.199913799148 Henry Cohn, 2026, needs more optimization.
32 596 0.199928822174 Henry Cohn, 2026, needs more optimization.
32 604 0.199982913915 Henry Cohn, 2026, needs more optimization.
32 606 0.199984920928 Henry Cohn, 2026, needs more optimization.
32 607 0.199986035956 Henry Cohn, 2026, needs more optimization.
32 608 0.199986232750 Henry Cohn, 2026, needs more optimization.
32 609 0.199988689299 Henry Cohn, 2026, needs more optimization.
32 610 0.199988776418 Henry Cohn, 2026, needs more optimization.
32 611 0.199989163274 Henry Cohn, 2026, needs more optimization.
32 612 0.199990356673 Henry Cohn, 2026, needs more optimization.
32 615 0.199992556595 Henry Cohn, 2026, needs more optimization.
32 616 0.199993842672 Henry Cohn, 2026, needs more optimization.
32 617 0.199996838150 Henry Cohn, 2026, needs more optimization.
32 618 0.199998629571 Henry Cohn, 2026, needs more optimization.
32 620 0.199998686676 Henry Cohn, 2026, needs more optimization.
32 704 0.2 Henry Cohn, 2026.
5⁢x−1
32 705 0.209428414193 Henry Cohn, 2026, needs more optimization.
32 706 0.212814785982 Henry Cohn, 2026, needs more optimization.
32 707 0.212887187171 Henry Cohn, 2026, needs more optimization.
32 708 0.213158321020 Henry Cohn, 2026, needs more optimization.
32 709 0.213274484705 Henry Cohn, 2026, needs more optimization.
32 710 0.214376793541 Henry Cohn, 2026, needs more optimization.
32 711 0.214614525739 Henry Cohn, 2026, needs more optimization.
32 712 0.214692867826 Henry Cohn, 2026, needs more optimization.
32 713 0.214815052937 Henry Cohn, 2026, needs more optimization.
32 714 0.214981790461 Henry Cohn, 2026, needs more optimization.
32 715 0.215013021864 Henry Cohn, 2026, needs more optimization.
32 716 0.215265573912 Henry Cohn, 2026, needs more optimization.
32 717 0.215351794210 Henry Cohn, 2026, needs more optimization.
32 718 0.216556855883 Henry Cohn, 2026, needs more optimization.
32 719 0.216607022239 Henry Cohn, 2026, needs more optimization.
32 720 0.216780836405 Henry Cohn, 2026, needs more optimization.
32 721 0.216828093271 Henry Cohn, 2026, needs more optimization.
32 722 0.217198131579 Henry Cohn, 2026, needs more optimization.
32 723 0.217283606767 Henry Cohn, 2026, needs more optimization.
32 724 0.217752593698 Henry Cohn, 2026, needs more optimization.
32 725 0.217798049535 Henry Cohn, 2026, needs more optimization.
32 726 0.218148362587 Henry Cohn, 2026, needs more optimization.
32 727 0.218205052493 Henry Cohn, 2026, needs more optimization.
32 728 0.218226039871 Henry Cohn, 2026, needs more optimization.
32 729 0.218306098865 Henry Cohn, 2026, needs more optimization.
32 730 0.218353779458 Henry Cohn, 2026, needs more optimization.
32 731 0.219227536396 Henry Cohn, 2026, needs more optimization.
32 732 0.219423713105 Henry Cohn, 2026, needs more optimization.
32 733 0.219514368261 Henry Cohn, 2026, needs more optimization.
32 734 0.219766984710 Henry Cohn, 2026, needs more optimization.
32 735 0.219796979917 Henry Cohn, 2026, needs more optimization.
32 736 0.220195281306 Henry Cohn, 2026, needs more optimization.
32 737 0.220290134518 Henry Cohn, 2026, needs more optimization.
32 738 0.220503346981 Henry Cohn, 2026, needs more optimization.
32 739 0.220628003462 Henry Cohn, 2026, needs more optimization.
32 740 0.220701194176 Henry Cohn, 2026, needs more optimization.
32 741 0.221561540518 Henry Cohn, 2026, needs more optimization.
32 742 0.221664380833 Henry Cohn, 2026, needs more optimization.
32 743 0.221781732577 Henry Cohn, 2026, needs more optimization.
32 744 0.221827542664 Henry Cohn, 2026, needs more optimization.
32 745 0.221991462101 Henry Cohn, 2026, needs more optimization.
32 746 0.222034242262 Henry Cohn, 2026, needs more optimization.
32 747 0.222196028129 Henry Cohn, 2026, needs more optimization.
32 748 0.222242705289 Henry Cohn, 2026, needs more optimization.
32 749 0.222307833153 Henry Cohn, 2026, needs more optimization.
32 750 0.223441976502 Henry Cohn, 2026, needs more optimization.
32 751 0.223503702736 Henry Cohn, 2026, needs more optimization.
32 752 0.223618596810 Henry Cohn, 2026, needs more optimization.
32 753 0.223750204091 Henry Cohn, 2026, needs more optimization.
32 754 0.223799277812 Henry Cohn, 2026, needs more optimization.
32 755 0.223969467010 Henry Cohn, 2026, needs more optimization.
32 756 0.224033258191 Henry Cohn, 2026, needs more optimization.
32 757 0.224195770757 Henry Cohn, 2026, needs more optimization.
32 758 0.224423289219 Henry Cohn, 2026, needs more optimization.
32 759 0.225233922691 Henry Cohn, 2026, needs more optimization.
32 760 0.225301624299 Henry Cohn, 2026, needs more optimization.
32 761 0.225463729580 Henry Cohn, 2026, needs more optimization.
32 762 0.225481984772 Henry Cohn, 2026, needs more optimization.
32 763 0.225643716092 Henry Cohn, 2026, needs more optimization.
32 764 0.225696422123 Henry Cohn, 2026, needs more optimization.
32 765 0.225744803471 Henry Cohn, 2026, needs more optimization.
32 766 0.226378730429 Henry Cohn, 2026, needs more optimization.
32 767 0.226497302810 Henry Cohn, 2026, needs more optimization.
32 768 0.226559424020 Henry Cohn, 2026, needs more optimization.
32 769 0.226746119466 Henry Cohn, 2026, needs more optimization.
32 770 0.226800069979 Henry Cohn, 2026, needs more optimization.
32 771 0.227794393431 Henry Cohn, 2026, needs more optimization.
32 772 0.227817085004 Henry Cohn, 2026, needs more optimization.
32 773 0.227947557723 Henry Cohn, 2026, needs more optimization.
32 774 0.227988825255 Henry Cohn, 2026, needs more optimization.
32 775 0.228005438332 Henry Cohn, 2026, needs more optimization.
32 776 0.228194971862 Henry Cohn, 2026, needs more optimization.
32 777 0.228396945780 Henry Cohn, 2026, needs more optimization.
32 778 0.228425057444 Henry Cohn, 2026, needs more optimization.
32 779 0.228674978648 Henry Cohn, 2026, needs more optimization.
32 780 0.228816879378 Henry Cohn, 2026, needs more optimization.
32 781 0.228903499702 Henry Cohn, 2026, needs more optimization.
32 782 0.228965356466 Henry Cohn, 2026, needs more optimization.
32 783 0.229003391509 Henry Cohn, 2026, needs more optimization.
32 784 0.229106333612 Henry Cohn, 2026, needs more optimization.
32 785 0.229264035678 Henry Cohn, 2026, needs more optimization.
32 786 0.231585445943 Henry Cohn, 2026, needs more optimization.
32 788 0.231677863641 Henry Cohn, 2026, needs more optimization.
32 789 0.231853837222 Henry Cohn, 2026, needs more optimization.
32 790 0.231882083575 Henry Cohn, 2026, needs more optimization.
32 791 0.232008162574 Henry Cohn, 2026, needs more optimization.
32 792 0.232086064672 Henry Cohn, 2026, needs more optimization.
32 793 0.232130054652 Henry Cohn, 2026, needs more optimization.
32 794 0.232183032798 Henry Cohn, 2026, needs more optimization.
32 795 0.232309250577 Henry Cohn, 2026, needs more optimization.
32 796 0.232414505158 Henry Cohn, 2026, needs more optimization.
32 797 0.232468985686 Henry Cohn, 2026, needs more optimization.
32 798 0.232622677349 Henry Cohn, 2026, needs more optimization.
32 799 0.232739093259 Henry Cohn, 2026, needs more optimization.
32 800 0.232896112798 Henry Cohn, 2026, needs more optimization.
32 801 0.233002491046 Henry Cohn, 2026, needs more optimization.
32 802 0.233200986005 Henry Cohn, 2026, needs more optimization.
32 803 0.233315821659 Henry Cohn, 2026, needs more optimization.
32 804 0.233479863681 Henry Cohn, 2026, needs more optimization.
32 805 0.233627227677 Henry Cohn, 2026, needs more optimization.
32 806 0.233777815839 Henry Cohn, 2026, needs more optimization.
32 807 0.233917058492 Henry Cohn, 2026, needs more optimization.
32 808 0.234146692343 Henry Cohn, 2026, needs more optimization.
32 809 0.234271269116 Henry Cohn, 2026, needs more optimization.
32 810 0.234483724966 Henry Cohn, 2026, needs more optimization.
32 811 0.234641174090 Henry Cohn, 2026, needs more optimization.
32 812 0.234788765553 Henry Cohn, 2026, needs more optimization.
32 813 0.234884059556 Henry Cohn, 2026, needs more optimization.
32 814 0.235065971461 Henry Cohn, 2026, needs more optimization.
32 815 0.235237264953 Henry Cohn, 2026, needs more optimization.
32 816 0.235356901211 Henry Cohn, 2026, needs more optimization.
32 817 0.235602434381 Henry Cohn, 2026, needs more optimization.
32 818 0.235724504655 Henry Cohn, 2026, needs more optimization.
32 819 0.235855545851 Henry Cohn, 2026, needs more optimization.
32 820 0.235989208718 Henry Cohn, 2026, needs more optimization.
32 821 0.236131484690 Henry Cohn, 2026, needs more optimization.
32 822 0.236306323114 Henry Cohn, 2026, needs more optimization.
32 823 0.236424664429 Henry Cohn, 2026, needs more optimization.
32 824 0.236541276379 Henry Cohn, 2026, needs more optimization.
32 825 0.236747048393 Henry Cohn, 2026, needs more optimization.
32 826 0.236888503461 Henry Cohn, 2026, needs more optimization.
32 827 0.237026048565 Henry Cohn, 2026, needs more optimization.
32 828 0.237224839438 Henry Cohn, 2026, needs more optimization.
32 829 0.237435718082 Henry Cohn, 2026, needs more optimization.
32 830 0.237563053820 Henry Cohn, 2026, needs more optimization.
32 831 0.237723450873 Henry Cohn, 2026, needs more optimization.
32 832 0.237800033991 Henry Cohn, 2026, needs more optimization.
32 833 0.237985934850 Henry Cohn, 2026, needs more optimization.
32 1024 0.238095238096 Code with 1024 points in 31 dimensions.
21⁢x−5
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