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 0.952386964146 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.
3 142 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 0.953228658095 Henry Cohn, 2024.
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 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).
3 147 0.954232032048 Henry Cohn, 2024.
3 148 0.954536844663 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).
3 149 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 0.955934494320 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.
3 154 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 0.959759379334 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).
3 169 0.960021874369 Henry Cohn, 2024.
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 0.960456779730 Henry Cohn, 2024.
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 0.960986468709 Henry Cohn, 2024.
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 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).
3 177 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 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).
3 184 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 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).
3 190 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 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).
3 197 0.965672149432 Henry Cohn, 2024.
3 198 0.965829315374 Henry Cohn, 2024.
3 199 0.965916172795 Henry Cohn, 2024.
3 200 0.965942282148 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.
3 201 0.966306900791 Henry Cohn, 2024.
3 202 0.966421093222 Henry Cohn, 2024.
3 203 0.966622724376 Henry Cohn, 2024.
3 204 0.966712897537 Henry Cohn, 2024.
3 205 0.966826988724 Henry Cohn, 2024.
3 206 0.967078415732 Henry Cohn, 2024.
3 207 0.967258049747 Henry Cohn, 2024.
3 208 0.967362842483 Henry Cohn, 2024.
3 209 0.967547223611 Henry Cohn, 2024.
3 210 0.967630597679 Henry Cohn, 2024.
3 211 0.967822897132 Henry Cohn, 2024.
3 212 0.967927157323 Henry Cohn, 2024.
3 213 0.968163116144 Henry Cohn, 2024.
3 214 0.968277562077 Henry Cohn, 2024.
3 215 0.968453681521 Henry Cohn, 2024.
3 216 0.968596893733 X. Lai, D. Yue, J.-K. Hao, F. Glover, and Z. Lü, Iterated dynamic neighborhood search for packing equal circles on a sphere, Comput. Oper. Res. 151 (2023), Paper No. 106121, 17 pp., doi:10.1016/j.cor.2022.106121.
3 217 0.968776493956 Henry Cohn, 2025.
3 218 0.968883813017 Henry Cohn, 2024.
3 219 0.969051824494 Henry Cohn, 2024.
3 220 0.969138855053 Henry Cohn, 2024.
3 221 0.969215831481 Henry Cohn, 2024.
3 222 0.969434787486 Henry Cohn, 2024.
3 223 0.969554841105 Henry Cohn, 2024.
3 224 0.969694397387 Henry Cohn, 2024.
3 225 0.969832486673 Henry Cohn, 2024.
3 226 0.969910083224 Henry Cohn, 2024.
3 227 0.970130470358 Henry Cohn, 2024.
3 228 0.970249147842 Henry Cohn, 2024.
3 229 0.970371960081 Henry Cohn, 2025.
3 230 0.970483445180 Henry Cohn, 2024.
3 231 0.970608829668 Henry Cohn, 2024.
3 232 0.970693980479 Henry Cohn, 2024.
3 233 0.970852351181 Henry Cohn, 2024.
3 234 0.970907365376 Henry Cohn, 2024.
3 235 0.971108986707 Henry Cohn, 2025.
3 236 0.971194820033 Henry Cohn, 2024.
3 237 0.971302463818 Henry Cohn, 2024.
3 238 0.971452268582 Henry Cohn, 2025.
3 239 0.971571256039 Henry Cohn, 2024.
3 240 0.971657594484 Henry Cohn, 2024.
3 241 0.971802213952 Henry Cohn, 2024.
3 242 0.971893680990 Henry Cohn, 2024.
3 243 0.971985441053 Henry Cohn, 2024.
3 244 0.972112317307 Henry Cohn, 2024.
3 245 0.972207255147 Henry Cohn, 2024.
3 246 0.972337795891 Henry Cohn, 2024.
3 247 0.972484516196 Henry Cohn, 2024.
3 248 0.972579059838 Henry Cohn, 2024.
3 249 0.972727698402 Henry Cohn, 2024.
3 250 0.972810481678 Henry Cohn, 2024.
3 251 0.972879991602 Henry Cohn, 2024.
3 252 0.973005270899 Henry Cohn, 2024.
3 253 0.973112111220 Henry Cohn, 2024.
3 254 0.973167964183 Henry Cohn, 2024.
3 255 0.973336938776 Henry Cohn, 2024.
3 256 0.973419418775 Henry Cohn, 2024.
3 257 0.973518713646 Henry Cohn, 2024.
3 258 0.973601287197 Henry Cohn, 2024.
3 259 0.973687576212 Henry Cohn, 2024.
3 260 0.973743009714 Henry Cohn, 2024.
3 261 0.973920872604 Henry Cohn, 2024.
3 262 0.974027125019 Henry Cohn, 2024.
3 263 0.974151459437 Henry Cohn, 2024.
3 264 0.974246953956 Henry Cohn, 2024.
3 265 0.974330655728 Henry Cohn, 2024.
3 266 0.974398321697 Henry Cohn, 2024.
3 267 0.974465987486 Henry Cohn, 2024.
3 268 0.974543890479 Henry Cohn, 2024.
3 269 0.974603593005 Henry Cohn, 2024.
3 270 0.974616849625 T. Tarnai and Zs. Gáspár, Multi-symmetric close packings of equal spheres on the spherical surface, Acta Cryst. Sect. A 43 (1987), 612–616, doi:10.1107/S0108767387098842.
Minimal polynomial listed in plain text data
3 271 0.974808781632 Henry Cohn, 2024.
3 272 0.974950342892 Henry Cohn, 2024.
3 273 0.975065447378 Henry Cohn, 2024.
3 274 0.975124578016 Henry Cohn, 2024.
3 275 0.975240636386 Henry Cohn, 2024.
3 276 0.975320045419 Henry Cohn, 2024.
3 277 0.975403482592 Henry Cohn, 2024.
3 278 0.975464347279 Henry Cohn, 2024.
3 279 0.975521244170 Henry Cohn, 2024.
3 280 0.975556159117 Henry Cohn, 2024.
3 281 0.975696078155 Henry Cohn, 2024.
3 282 0.975817103894 X. Lai, D. Yue, J.-K. Hao, F. Glover, and Z. Lü, Iterated dynamic neighborhood search for packing equal circles on a sphere, Comput. Oper. Res. 151 (2023), Paper No. 106121, 17 pp., doi:10.1016/j.cor.2022.106121.
3 283 0.975926949120 Henry Cohn, 2024.
3 284 0.976026277162 Henry Cohn, 2024.
3 285 0.976130656685 Henry Cohn, 2024.
3 286 0.976199213798 Henry Cohn, 2024.
3 287 0.976292535597 Henry Cohn, 2024.
3 288 0.976364794706 Henry Cohn, 2024.
3 289 0.976439859800 Henry Cohn, 2024.
3 290 0.976500970455 Henry Cohn, 2024.
3 291 0.976554952830 Henry Cohn, 2024.
3 292 0.976605729892 Henry Cohn, 2024.
3 293 0.976711107353 Henry Cohn, 2024.
3 294 0.976800057925 Henry Cohn, 2024.
3 295 0.976890767574 Henry Cohn, 2024.
3 296 0.976945912178 Henry Cohn, 2024.
3 297 0.977073329897 Henry Cohn, 2024.
3 298 0.977140172393 Henry Cohn, 2024.
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.
3 302 0.977458631036 Henry Cohn, 2024.
3 303 0.977523371220 Henry Cohn, 2024.
3 304 0.977583884150 Henry Cohn, 2024.
3 305 0.977632490985 Henry Cohn, 2024.
3 306 0.977704320343 Henry Cohn, 2024.
3 307 0.977814535951 Henry Cohn, 2024.
3 308 0.977892051736 Henry Cohn, 2024.
3 309 0.977961312021 Henry Cohn, 2024.
3 310 0.978013425289 Henry Cohn, 2024.
3 311 0.978090634292 Henry Cohn, 2024.
3 312 0.978122129978 Henry Cohn, 2024.
3 313 0.978231993615 Henry Cohn, 2024.
3 314 0.978279969095 Henry Cohn, 2024.
3 315 0.978359778769 Henry Cohn, 2024.
3 316 0.978410838412 Henry Cohn, 2024.
3 317 0.978487475787 Henry Cohn, 2024.
3 318 0.978544517230 Henry Cohn, 2024.
3 319 0.978603060123 Henry Cohn, 2024.
3 320 0.978663267012 Henry Cohn, 2024.
3 321 0.978701802245 Henry Cohn, 2024.
3 322 0.978826091828 Henry Cohn, 2024.
3 323 0.978911588007 Henry Cohn, 2024.
3 324 0.978995941163 Henry Cohn, 2024.
3 325 0.979043753404 Henry Cohn, 2024.
3 326 0.979098859474 Henry Cohn, 2024.
3 327 0.979175343310 Henry Cohn, 2024.
3 328 0.979227007488 Henry Cohn, 2024.
3 329 0.979277635210 Henry Cohn, 2024.
3 330 0.979324914072 Henry Cohn, 2024.
3 331 0.979373177432 Henry Cohn, 2024.
3 332 0.979423824372 Henry Cohn, 2024.
3 333 0.979491741719 Henry Cohn, 2024.
3 334 0.979582034493 Henry Cohn, 2024.
3 335 0.979642932989 Henry Cohn, 2024.
3 336 0.979690569342 Henry Cohn, 2024.
3 337 0.979787177717 Henry Cohn, 2024.
3 338 0.979838818714 Henry Cohn, 2024.
3 339 0.979904919491 Henry Cohn, 2024.
3 340 0.979949293421 Henry Cohn, 2024.
3 341 0.979999498179 Henry Cohn, 2024.
3 342 0.980044047715 Henry Cohn, 2024.
3 343 0.980089833534 Henry Cohn, 2024.
3 344 0.980135977822 Henry Cohn, 2024.
3 345 0.980198171376 Henry Cohn, 2024.
3 346 0.980275208082 Henry Cohn, 2024.
3 347 0.980349152228 Henry Cohn, 2024.
3 348 0.980406993197 Henry Cohn, 2024.
3 349 0.980468717236 Henry Cohn, 2024.
3 350 0.980516247811 Henry Cohn, 2024.
3 351 0.980576030074 Henry Cohn, 2024.
3 352 0.980619398778 Henry Cohn, 2024.
3 353 0.980684301407 Henry Cohn, 2024.
3 354 0.980732527244 Henry Cohn, 2024.
3 355 0.980776958770 Henry Cohn, 2024.
3 356 0.980824249739 Henry Cohn, 2024.
3 357 0.980871795041 Henry Cohn, 2024.
3 358 0.980901085519 Henry Cohn, 2024.
3 359 0.980938721612 Henry Cohn, 2024.
3 360 0.980946761337 T. Tarnai and Zs. Gáspár, Multi-symmetric close packings of equal spheres on the spherical surface, Acta Cryst. Sect. A 43 (1987), 612–616, doi:10.1107/S0108767387098842.
3 361 0.981100649639 Henry Cohn, 2024.
3 362 0.981170817619 Henry Cohn, 2024.
3 363 0.981225268927 Henry Cohn, 2024.
3 364 0.981276718466 Henry Cohn, 2024.
3 365 0.981317422056 Henry Cohn, 2024.
3 366 0.981371676585 Henry Cohn, 2024.
3 367 0.981414713592 Henry Cohn, 2024.
3 368 0.981467030026 Henry Cohn, 2024.
3 369 0.981501369093 Henry Cohn, 2024.
3 370 0.981559453185 Henry Cohn, 2024.
3 371 0.981613640563 Henry Cohn, 2024.
3 372 0.981659202089 Henry Cohn, 2024.
3 373 0.981715627838 Henry Cohn, 2024.
3 374 0.981743695439 Henry Cohn, 2024.
3 375 0.981792889902 Henry Cohn, 2024.
3 376 0.981848936637 Henry Cohn, 2024.
3 377 0.981891941481 Henry Cohn, 2024.
3 378 0.981926575478 Henry Cohn, 2024.
3 379 0.981965339639 Henry Cohn, 2024.
3 380 0.981969354778 R. H. Hardin, N. J. A. Sloane, and W. D. Smith, Tables of spherical codes with icosahedral symmetry, 1994–2000.
3 381 0.982112878900 Henry Cohn, 2024.
3 382 0.982155902082 Henry Cohn, 2024.
3 383 0.982191165481 Henry Cohn, 2024.
3 384 0.982232298421 Henry Cohn, 2024.
3 385 0.982281435205 Henry Cohn, 2024.
3 386 0.982313990090 Henry Cohn, 2024.
3 387 0.982346497568 Henry Cohn, 2024.
3 388 0.982373183313 Henry Cohn, 2024.
3 389 0.982452801700 Henry Cohn, 2024.
3 390 0.982505534053 Henry Cohn, 2024.
3 391 0.982555955538 Henry Cohn, 2024.
3 392 0.982591195901 Henry Cohn, 2024.
3 393 0.982649357699 Henry Cohn, 2024.
3 394 0.982692375827 Henry Cohn, 2024.
3 395 0.982725465540 Henry Cohn, 2024.
3 396 0.982767271242 Henry Cohn, 2024.
3 397 0.982799147942 Henry Cohn, 2024.
3 398 0.982821049056 Henry Cohn, 2024.
3 399 0.982857394032 Henry Cohn, 2024.
3 400 0.982915172693 Henry Cohn, 2024.
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 0.985155490467 Henry Cohn, 2024.
3 461 0.985198380759 Henry Cohn, 2024.
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 0.985665218249 Henry Cohn, 2024.
3 477 0.985693505781 Henry Cohn, 2024.
3 478 0.985721554115 Henry Cohn, 2024.
3 479 0.985721775338 Henry Cohn, 2024.
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 0.985812248918 Henry Cohn, 2024.
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.
3 493 0.986156796272 Henry Cohn, 2024.
3 494 0.986186402493 Henry Cohn, 2024.
3 495 0.986213487487 Henry Cohn, 2024.
3 496 0.986246272307 Henry Cohn, 2024.
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 0.986562688022 Henry Cohn, 2024.
3 510 0.986562996172 R. H. Hardin, N. J. A. Sloane, and W. D. Smith, Tables of spherical codes with icosahedral symmetry, 1994–2000.
3 511 0.986645870423 Henry Cohn, 2024.
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 0.987380165789 Henry Cohn, 2024.
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 0.987786834005 Henry Cohn, 2024.
3 560 0.987804065628 Henry Cohn, 2024.
3 561 0.987825037070 Henry Cohn, 2024.
3 562 0.987842915448 Henry Cohn, 2024.
3 563 0.987867088796 Henry Cohn, 2024.
3 564 0.987888189116 Henry Cohn, 2024.
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 0.988045168272 R. H. Hardin, N. J. A. Sloane, and W. D. Smith, Tables of spherical codes with icosahedral symmetry, 1994–2000.
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 0.988756306926 Henry Cohn, 2024.
3 609 0.988760157529 Henry Cohn, 2024.
3 610 0.988792706244 Henry Cohn, 2024.
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.
3 620 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 0.989702032269 Henry Cohn, 2024.
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 0.989973015974 Henry Cohn, 2024.
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 0.990108022437 Henry Cohn, 2024.
3 694 0.990123873541 Henry Cohn, 2024.
3 695 0.990138225464 Henry Cohn, 2024.
3 696 0.990144937712 Henry Cohn, 2024.
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 0.990207682442 R. H. Hardin, N. J. A. Sloane, and W. D. Smith, Tables of spherical codes with icosahedral symmetry, 1994–2000.
3 703 0.990246510087 Henry Cohn, 2024.
3 704 0.990264421603 Henry Cohn, 2024.
3 705 0.990275791331 Henry Cohn, 2024.
3 706 0.990290378683 Henry Cohn, 2024.
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 0.990408038650 Henry Cohn, 2024.
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 0.990491371173 Henry Cohn, 2024.
3 722 0.990499809958 Henry Cohn, 2024.
3 723 0.990516894560 Henry Cohn, 2024.
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 0.990623187196 R. H. Hardin, N. J. A. Sloane, and W. D. Smith, Tables of spherical codes with icosahedral symmetry, 1994–2000.
3 733 0.990643551144 Henry Cohn, 2024.
3 734 0.990660617632 Henry Cohn, 2024.
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 0.990807128963 Henry Cohn, 2024.
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 0.991250704363 Henry Cohn, 2024.
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 0.991343095341 Henry Cohn, 2024.
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 0.991534887804 Henry Cohn, 2024.
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 0.991695448495 Henry Cohn, 2024.
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 0.991757657241 Henry Cohn, 2024.
3 834 0.991761234909 Henry Cohn, 2024.
3 835 0.991775366198 Henry Cohn, 2024.
3 836 0.991780274903 Henry Cohn, 2024.
3 837 0.991787929640 Henry Cohn, 2024.
3 838 0.991802634344 Henry Cohn, 2024.
3 840 0.991804916272 R. H. Hardin, N. J. A. Sloane, and W. D. Smith, Tables of spherical codes with icosahedral symmetry, 1994–2000.
3 841 0.991829212367 Henry Cohn, 2024.
3 842 0.991840819373 Henry Cohn, 2024.
3 843 0.991847889329 Henry Cohn, 2024.
3 844 0.991857775147 Henry Cohn, 2024.
3 845 0.991863629186 Henry Cohn, 2024.
3 846 0.991878532857 Henry Cohn, 2025.
3 847 0.991886320624 Henry Cohn, 2025.
3 848 0.991897746584 Henry Cohn, 2025.
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 0.991942749939 Henry Cohn, 2025.
3 854 0.991951631435 Henry Cohn, 2025.
3 855 0.991962531819 Henry Cohn, 2025.
3 856 0.991972423212 Henry Cohn, 2025.
3 857 0.991979003112 Henry Cohn, 2025.
3 858 0.991987713948 Henry Cohn, 2025.
3 860 0.992000324488 R. H. Hardin, N. J. A. Sloane, and W. D. Smith, Tables of spherical codes with icosahedral symmetry, 1994–2000.
3 861 0.992015656329 Henry Cohn, 2025.
3 862 0.992022903669 Henry Cohn, 2025.
3 863 0.992039444605 Henry Cohn, 2025.
3 864 0.992045910827 Henry Cohn, 2025.
3 865 0.992052833787 Henry Cohn, 2025.
3 866 0.992064050508 Henry Cohn, 2025.
3 867 0.992072381754 Henry Cohn, 2025.
3 868 0.992080033785 Henry Cohn, 2025.
3 869 0.992091623959 Henry Cohn, 2025.
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 0.992125985753 Henry Cohn, 2025.
3 874 0.992130666610 Henry Cohn, 2025.
3 875 0.992141194210 Henry Cohn, 2025.
3 876 0.992148880613 Henry Cohn, 2025.
3 877 0.992154329715 Henry Cohn, 2025.
3 878 0.992168861340 Henry Cohn, 2025.
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 0.992209993174 Henry Cohn, 2025.
3 884 0.992219699147 Henry Cohn, 2025.
3 885 0.992231709887 Henry Cohn, 2025.
3 886 0.992239057053 Henry Cohn, 2025.
3 887 0.992242382220 Henry Cohn, 2025.
3 888 0.992258876226 Henry Cohn, 2025.
3 889 0.992268087253 Henry Cohn, 2025.
3 890 0.992270692003 Henry Cohn, 2025.
3 891 0.992282908648 Henry Cohn, 2025.
3 892 0.992289973548 Henry Cohn, 2025.
3 893 0.992298164886 Henry Cohn, 2025.
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 0.992349829991 Henry Cohn, 2025.
3 900 0.992360793848 Henry Cohn, 2024.
3 901 0.992366538174 Henry Cohn, 2025.
3 902 0.992377854101 Henry Cohn, 2025.
3 903 0.992382061576 Henry Cohn, 2025.
3 904 0.992392816154 Henry Cohn, 2025.
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 0.992492188420 Henry Cohn, 2025.
3 917 0.992500203453 Henry Cohn, 2025.
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 0.992539673688 Henry Cohn, 2025.
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 0.992580946257 Henry Cohn, 2025.
3 928 0.992583930232 Henry Cohn, 2025.
3 929 0.992590355210 Henry Cohn, 2025.
3 930 0.992602765384 Henry Cohn, 2025.
3 931 0.992610375347 Henry Cohn, 2025.
3 932 0.992616284375 Henry Cohn, 2025.
3 933 0.992624602034 Henry Cohn, 2025.
3 934 0.992631107765 Henry Cohn, 2025.
3 935 0.992640679227 Henry Cohn, 2025.
3 936 0.992649034124 Henry Cohn, 2025.
3 937 0.992657820696 Henry Cohn, 2025.
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 0.992713697005 Henry Cohn, 2025.
3 945 0.992717631580 Henry Cohn, 2025.
3 946 0.992723034803 Henry Cohn, 2025.
3 947 0.992729250719 Henry Cohn, 2025.
3 948 0.992740223152 Henry Cohn, 2025.
3 950 0.992751947060 Henry Cohn, 2025.
3 951 0.992767541985 Henry Cohn, 2025.
3 952 0.992771438024 Henry Cohn, 2025.
3 953 0.992778258864 Henry Cohn, 2025.
3 954 0.992786191374 Henry Cohn, 2025.
3 955 0.992791727019 Henry Cohn, 2025.
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 0.992885015367 Henry Cohn, 2025, needs more optimization.
3 965 0.992885216579 Henry Cohn, 2025, needs more optimization.
3 966 0.992897987621 Henry Cohn, 2025, needs more optimization.
3 967 0.992899598462 Henry Cohn, 2025, needs more optimization.
3 972 0.992923191999 Henry Cohn, 2024.
3 973 0.992936590376 Henry Cohn, 2025, needs more optimization.
3 974 0.992951976746 Henry Cohn, 2025, needs more optimization.
3 975 0.992952170855 Henry Cohn, 2025, needs more optimization.
3 976 0.992967853659 Henry Cohn, 2025, needs more optimization.
3 980 0.992974636259 Henry Cohn, 2024.
3 981 0.993017561829 Henry Cohn, 2025, needs more optimization.
3 982 0.993018401475 Henry Cohn, 2025, needs more optimization.
3 983 0.993021922990 Henry Cohn, 2025, needs more optimization.
3 985 0.993039851517 Henry Cohn, 2025, needs more optimization.
3 986 0.993052329713 Henry Cohn, 2025, needs more optimization.
3 992 0.993062786669 Henry Cohn, 2024.
3 993 0.993092010147 Henry Cohn, 2025, needs more optimization.
3 994 0.993093348690 Henry Cohn, 2025, needs more optimization.
3 995 0.993105017552 Henry Cohn, 2025, needs more optimization.
3 997 0.993117192863 Henry Cohn, 2025, needs more optimization.
3 1002 0.993129515697 Henry Cohn, 2024.
3 1003 0.993156994107 Henry Cohn, 2025, needs more optimization.
3 1004 0.993158363157 Henry Cohn, 2025, needs more optimization.
3 1005 0.993175262305 Henry Cohn, 2025, needs more optimization.
3 1010 0.993176753480 R. H. Hardin, N. J. A. Sloane, and W. D. Smith, Tables of spherical codes with icosahedral symmetry, 1994–2000.
3 1012 0.993202778059 Henry Cohn, 2025, needs more optimization.
3 1013 0.993202916215 Henry Cohn, 2025, needs more optimization.
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 1022 0.993261497684 R. H. Hardin, N. J. A. Sloane, and W. D. Smith, Tables of spherical codes with icosahedral symmetry, 1994–2000.
3 1024 0.993275446250 Henry Cohn, 2024.
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 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.
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 0.745999226475 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
4 67 0.748969904957 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
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 0.756375330209 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 0.759550197779 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
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 0.777799376146 Henry Cohn, 2025.
4 82 0.779757103064 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
4 83 0.781072136090 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
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 0.784953959151 Henry Cohn, 2025.
4 87 0.785515495455 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 0.792211352845 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
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 0.793553793630 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 0.797981478600 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
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 0.803902082982 Henry Cohn, 2025.
4 102 0.804699654885 Henry Cohn, 2025.
4 103 0.805093332115 Henry Cohn, 2025.
4 104 0.806316901528 Henry Cohn, 2025.
4 105 0.807105103190 Henry Cohn, 2024.
4 106 0.807630729888 Henry Cohn, 2025.
4 107 0.808031793624 Henry Cohn, 2025.
4 108 0.808494082581 Henry Cohn, 2025.
4 109 0.808699172186 Henry Cohn, 2025.
4 110 0.808930754825 Henry Cohn, 2025.
4 111 0.809001788649 Henry Cohn, 2025.
4 112 0.809016771299 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 0.824643413914 Henry Cohn, 2024.
4 122 0.826376579266 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
4 123 0.827332082575 Henry Cohn, 2023.
4 124 0.829082798071 Henry Cohn, 2024.
4 125 0.830275233675 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
4 126 0.831282569581 Henry Cohn, 2024.
4 127 0.832258618537 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
4 128 0.833185392968 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
4 129 0.833853228231 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
4 130 0.834775628422 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
4 131 0.835560226726 Henry Cohn, 2025, needs more optimization.
4 132 0.835884090855 Henry Cohn, 2025.
4 133 0.836985790788 Henry Cohn, 2025.
4 134 0.837627700361 Henry Cohn, 2025.
4 135 0.838176006001 Henry Cohn, 2025.
4 136 0.838479552016 Henry Cohn, 2025.
4 137 0.838804796599 Henry Cohn, 2025.
4 138 0.839095930916 Henry Cohn, 2025.
4 139 0.839507413737 Henry Cohn, 2024.
4 140 0.839798104885 Henry Cohn, 2025.
4 141 0.840152855333 Henry Cohn, 2024.
4 142 0.840928862073 Henry Cohn, 2025.
4 143 0.842651920763 Henry Cohn, 2025.
4 144 0.843254218510 Henry Cohn, 2025.
4 145 0.845008421248 Henry Cohn, 2025.
4 146 0.846045189902 Henry Cohn, 2024.
4 147 0.846935656954 Henry Cohn, 2025.
4 148 0.847349564104 Henry Cohn, 2025.
4 149 0.847708866977 Henry Cohn, 2025.
4 150 0.848008139501 Henry Cohn, 2025.
4 151 0.848398192858 Henry Cohn, 2025.
4 152 0.848746833410 Henry Cohn, 2024.
4 153 0.849106836683 Henry Cohn, 2024.
4 154 0.849448181031 Henry Cohn, 2024.
4 155 0.850535901046 Henry Cohn, 2025.
4 156 0.852457466599 Henry Cohn, 2025.
4 157 0.853201053249 Henry Cohn, 2025.
4 158 0.853541005849 Henry Cohn, 2025.
4 159 0.853852414168 Henry Cohn, 2025.
4 160 0.854022528612 Henry Cohn, 2025.
4 161 0.855045265100 Henry Cohn, 2025.
4 162 0.856062235978 Henry Cohn, 2024, needs more optimization.
4 163 0.856512226289 Henry Cohn, 2025.
4 164 0.856668127760 Henry Cohn, 2025.
4 165 0.856908324217 Henry Cohn, 2024.
4 166 0.857226389077 Henry Cohn, 2025.
4 167 0.857623949424 Henry Cohn, 2024.
4 168 0.859313778162 Henry Cohn, 2025.
4 169 0.860470620189 Henry Cohn, 2024, needs more optimization.
4 170 0.861379333738 Henry Cohn, 2025.
4 171 0.861963021383 Henry Cohn, 2025.
4 172 0.862493564532 Henry Cohn, 2025.
4 173 0.862790116325 Henry Cohn, 2025.
4 174 0.863293409207 Henry Cohn, 2025.
4 175 0.863367463185 Henry Cohn, 2025.
4 176 0.863629502475 Henry Cohn, 2024, needs more optimization.
4 177 0.863814627381 Henry Cohn, 2025.
4 178 0.863941161713 Henry Cohn, 2025.
4 179 0.864723195029 Henry Cohn, 2025.
4 180 0.865805660331 Henry Cohn, 2024, needs more optimization.
4 181 0.866600926759 Henry Cohn, 2025, needs more optimization.
4 182 0.867175044126 Henry Cohn, 2024, needs more optimization.
4 183 0.867375745581 Henry Cohn, 2024, needs more optimization.
4 184 0.867764646067 Henry Cohn, 2025.
4 185 0.868235766641 Henry Cohn, 2025.
4 186 0.868539112886 Henry Cohn, 2025.
4 187 0.868935394789 Henry Cohn, 2025, needs more optimization.
4 188 0.869250376158 Henry Cohn, 2024.
4 189 0.869493523233 Henry Cohn, 2024, needs more optimization.
4 190 0.870057284609 Henry Cohn, 2025.
4 191 0.870828475427 Henry Cohn, 2025, needs more optimization.
4 192 0.871351640702 Henry Cohn, 2025, needs more optimization.
4 193 0.871545546243 Henry Cohn, 2025.
4 194 0.871792029869 Henry Cohn, 2025, needs more optimization.
4 195 0.872110216189 Henry Cohn, 2025.
4 196 0.872624857394 Henry Cohn, 2025.
4 197 0.873487427519 Henry Cohn, 2025.
4 198 0.874181617265 Henry Cohn, 2024, needs more optimization.
4 199 0.875069584192 Henry Cohn, 2025.
4 200 0.875749485568 Henry Cohn, 2024, needs more optimization.
4 201 0.876314814493 Henry Cohn, 2025.
4 202 0.876692218769 Henry Cohn, 2024, needs more optimization.
4 203 0.876947417589 Henry Cohn, 2024, needs more optimization.
4 204 0.877392685484 Henry Cohn, 2025.
4 205 0.877537776607 Henry Cohn, 2024, needs more optimization.
4 206 0.878017860463 Henry Cohn, 2024, needs more optimization.
4 207 0.878030418848 Henry Cohn, 2024, needs more optimization.
4 208 0.878236126718 Henry Cohn, 2024, needs more optimization.
4 209 0.878652010549 Henry Cohn, 2024, needs more optimization.
4 210 0.879214731108 Henry Cohn, 2024, needs more optimization.
4 211 0.879712713119 Henry Cohn, 2025, needs more optimization.
4 212 0.879738383465 Henry Cohn, 2025, needs more optimization.
4 213 0.879863700141 Henry Cohn, 2025, needs more optimization.
4 214 0.879976571390 Henry Cohn, 2024, needs more optimization.
4 215 0.880272662054 Henry Cohn, 2025.
4 216 0.880912444476 Henry Cohn, 2024, needs more optimization.
4 217 0.881539806860 Henry Cohn, 2025.
4 218 0.881935788265 Henry Cohn, 2025, needs more optimization.
4 219 0.882008652000 Henry Cohn, 2025, needs more optimization.
4 220 0.882596201372 Henry Cohn, 2024, needs more optimization.
4 221 0.883068319599 Henry Cohn, 2024, needs more optimization.
4 222 0.883561228808 Henry Cohn, 2024, needs more optimization.
4 223 0.884155507356 Henry Cohn, 2025, needs more optimization.
4 224 0.884686089745 Henry Cohn, 2024, needs more optimization.
4 225 0.885236784394 Henry Cohn, 2024, needs more optimization.
4 226 0.885373603102 Henry Cohn, 2024, needs more optimization.
4 227 0.885541630029 Henry Cohn, 2024, needs more optimization.
4 228 0.885875665888 Henry Cohn, 2024, needs more optimization.
4 229 0.886312244147 Henry Cohn, 2024, needs more optimization.
4 230 0.886375168166 Henry Cohn, 2024, needs more optimization.
4 231 0.886852778794 Henry Cohn, 2024, needs more optimization.
4 232 0.887246358210 Henry Cohn, 2025, needs more optimization.
4 233 0.887405441855 Henry Cohn, 2024, needs more optimization.
4 234 0.887610594043 Henry Cohn, 2024, needs more optimization.
4 235 0.887931566287 Henry Cohn, 2024, needs more optimization.
4 236 0.888127923058 Henry Cohn, 2024, needs more optimization.
4 237 0.888458444562 Henry Cohn, 2024, needs more optimization.
4 238 0.888944992762 Henry Cohn, 2024, needs more optimization.
4 239 0.889387503952 Henry Cohn, 2024, needs more optimization.
4 240 0.889609979679 Henry Cohn, 2024, needs more optimization.
4 241 0.889887902632 Henry Cohn, 2024, needs more optimization.
4 242 0.890278312942 Henry Cohn, 2024, needs more optimization.
4 243 0.890336503434 Henry Cohn, 2025, needs more optimization.
4 244 0.890776113396 Henry Cohn, 2025, needs more optimization.
4 245 0.891046196126 Henry Cohn, 2024, needs more optimization.
4 246 0.891251467769 Henry Cohn, 2025, needs more optimization.
4 247 0.891800101613 Henry Cohn, 2024, needs more optimization.
4 248 0.892148988228 Henry Cohn, 2025, needs more optimization.
4 249 0.892362999827 Henry Cohn, 2024, needs more optimization.
4 250 0.892734158880 Henry Cohn, 2025, needs more optimization.
4 251 0.893110278625 Henry Cohn, 2024, needs more optimization.
4 252 0.893392539456 Henry Cohn, 2025, needs more optimization.
4 253 0.893785136004 Henry Cohn, 2024, needs more optimization.
4 254 0.893946035543 Henry Cohn, 2025, needs more optimization.
4 255 0.894031438903 Henry Cohn, 2025, needs more optimization.
4 256 0.894642036631 Henry Cohn, 2024, needs more optimization.
4 257 0.894968828855 Henry Cohn, 2025, needs more optimization.
4 258 0.895162863582 Henry Cohn, 2025, needs more optimization.
4 259 0.895562130267 Henry Cohn, 2025, needs more optimization.
4 260 0.895863531818 Henry Cohn, 2025, needs more optimization.
4 261 0.896089073495 Henry Cohn, 2025, needs more optimization.
4 262 0.896258296994 Henry Cohn, 2025, needs more optimization.
4 263 0.896662088638 Henry Cohn, 2025, needs more optimization.
4 264 0.896707209796 Henry Cohn, 2025, needs more optimization.
4 265 0.896884435600 Henry Cohn, 2025, needs more optimization.
4 266 0.897102323358 Henry Cohn, 2025, needs more optimization.
4 267 0.897256817890 Henry Cohn, 2025, needs more optimization.
4 268 0.897716890365 Henry Cohn, 2025, needs more optimization.
4 269 0.897949035750 Henry Cohn, 2025, needs more optimization.
4 270 0.897949301870 Henry Cohn, 2025, needs more optimization.
4 271 0.898232766688 Henry Cohn, 2025, needs more optimization.
4 272 0.898273815183 Henry Cohn, 2025, needs more optimization.
4 273 0.898448765036 Henry Cohn, 2025, needs more optimization.
4 274 0.898527867663 Henry Cohn, 2025, needs more optimization.
4 275 0.899045789323 Henry Cohn, 2025, needs more optimization.
4 276 0.899275706142 Henry Cohn, 2025, needs more optimization.
4 277 0.899449783989 Henry Cohn, 2025, needs more optimization.
4 278 0.899594023702 Henry Cohn, 2025, needs more optimization.
4 279 0.899603123143 Henry Cohn, 2025, needs more optimization.
4 280 0.899647397045 Henry Cohn, 2025, needs more optimization.
4 281 0.900144251353 Henry Cohn, 2025, needs more optimization.
4 282 0.900669748687 Henry Cohn, 2025, needs more optimization.
4 283 0.901192624875 Henry Cohn, 2025, needs more optimization.
4 284 0.901444195972 Henry Cohn, 2025, needs more optimization.
4 285 0.902114383397 Henry Cohn, 2025, needs more optimization.
4 286 0.902200918917 Henry Cohn, 2025, needs more optimization.
4 287 0.902689498307 Henry Cohn, 2025, needs more optimization.
4 288 0.902809372927 Henry Cohn, 2025, needs more optimization.
4 289 0.902961523585 Henry Cohn, 2025, needs more optimization.
4 290 0.903173879083 Henry Cohn, 2025, needs more optimization.
4 291 0.903511989536 Henry Cohn, 2025, needs more optimization.
4 292 0.903643689020 Henry Cohn, 2025, needs more optimization.
4 293 0.903846894851 Henry Cohn, 2025, needs more optimization.
4 294 0.904174048251 Henry Cohn, 2025, needs more optimization.
4 295 0.904490380490 Henry Cohn, 2025, needs more optimization.
4 296 0.904792157790 Henry Cohn, 2025, needs more optimization.
4 297 0.904792565536 Henry Cohn, 2025, needs more optimization.
4 298 0.905107921159 Henry Cohn, 2025, needs more optimization.
4 299 0.905343689974 Henry Cohn, 2025, needs more optimization.
4 300 0.905516576386 Henry Cohn, 2025, needs more optimization.
4 301 0.905749679486 Henry Cohn, 2025, needs more optimization.
4 302 0.905982097879 Henry Cohn, 2025, needs more optimization.
4 303 0.906127796062 Henry Cohn, 2025, needs more optimization.
4 304 0.906280327195 Henry Cohn, 2025, needs more optimization.
4 305 0.906402554620 Henry Cohn, 2025, needs more optimization.
4 306 0.906574526092 Henry Cohn, 2025, needs more optimization.
4 307 0.907323320662 Henry Cohn, 2025, needs more optimization.
4 308 0.907324266490 Henry Cohn, 2025, needs more optimization.
4 309 0.907355948835 Henry Cohn, 2025, needs more optimization.
4 310 0.907358532815 Henry Cohn, 2025, needs more optimization.
4 311 0.907939119141 Henry Cohn, 2025, needs more optimization.
4 312 0.908406205577 Henry Cohn, 2025, needs more optimization.
4 313 0.908542533583 Henry Cohn, 2025, needs more optimization.
4 314 0.908551774846 Henry Cohn, 2025, needs more optimization.
4 315 0.908688049416 Henry Cohn, 2025, needs more optimization.
4 316 0.909049574131 Henry Cohn, 2025, needs more optimization.
4 317 0.909051311716 Henry Cohn, 2025, needs more optimization.
4 318 0.909170050134 Henry Cohn, 2025, needs more optimization.
4 319 0.909209331010 Henry Cohn, 2025, needs more optimization.
4 320 0.909395841841 Henry Cohn, 2025, needs more optimization.
4 321 0.909536185091 Henry Cohn, 2025, needs more optimization.
4 322 0.909674791274 Henry Cohn, 2025, needs more optimization.
4 323 0.909818505532 Henry Cohn, 2025, needs more optimization.
4 324 0.909903989138 Henry Cohn, 2025, needs more optimization.
4 325 0.910098236947 Henry Cohn, 2025, needs more optimization.
4 326 0.910283865043 Henry Cohn, 2025, needs more optimization.
4 327 0.910331483816 Henry Cohn, 2025, needs more optimization.
4 328 0.910660635640 Henry Cohn, 2025, needs more optimization.
4 329 0.910999475058 Henry Cohn, 2025, needs more optimization.
4 330 0.910999882705 Henry Cohn, 2025, needs more optimization.
4 331 0.911221815903 Henry Cohn, 2025, needs more optimization.
4 332 0.911398754908 Henry Cohn, 2025, needs more optimization.
4 333 0.911751408175 Henry Cohn, 2025, needs more optimization.
4 334 0.911813194183 Henry Cohn, 2025, needs more optimization.
4 335 0.912035813394 Henry Cohn, 2025, needs more optimization.
4 336 0.912308609413 Henry Cohn, 2025, needs more optimization.
4 337 0.912392820444 Henry Cohn, 2025, needs more optimization.
4 338 0.912655775019 Henry Cohn, 2025, needs more optimization.
4 339 0.913036739178 Henry Cohn, 2025, needs more optimization.
4 340 0.913204649513 Henry Cohn, 2025, needs more optimization.
4 341 0.913376620602 Henry Cohn, 2025, needs more optimization.
4 342 0.913523258748 Henry Cohn, 2024, needs more optimization.
4 343 0.914067345393 Henry Cohn, 2025, needs more optimization.
4 344 0.914230240004 Henry Cohn, 2025, needs more optimization.
4 345 0.914231281296 Henry Cohn, 2025, needs more optimization.
4 346 0.914438232359 Henry Cohn, 2025, needs more optimization.
4 347 0.914596841729 Henry Cohn, 2025, needs more optimization.
4 348 0.914782997883 Henry Cohn, 2025, needs more optimization.
4 349 0.914804929195 Henry Cohn, 2025, needs more optimization.
4 350 0.914972573951 Henry Cohn, 2025, needs more optimization.
4 351 0.915023495399 Henry Cohn, 2025, needs more optimization.
4 352 0.915307824532 Henry Cohn, 2025, needs more optimization.
4 353 0.915310127507 Henry Cohn, 2025, needs more optimization.
4 354 0.915477570070 Henry Cohn, 2025, needs more optimization.
4 355 0.915639912660 Henry Cohn, 2025, needs more optimization.
4 356 0.915671905923 Henry Cohn, 2025, needs more optimization.
4 357 0.915928280372 Henry Cohn, 2025, needs more optimization.
4 358 0.916202241466 Henry Cohn, 2025, needs more optimization.
4 359 0.916222668672 Henry Cohn, 2025, needs more optimization.
4 360 0.916294107248 Henry Cohn, 2025, needs more optimization.
4 361 0.916303688430 Henry Cohn, 2025, needs more optimization.
4 362 0.916500948472 Henry Cohn, 2025, needs more optimization.
4 363 0.916674599351 Henry Cohn, 2025, needs more optimization.
4 364 0.916812114092 Henry Cohn, 2025, needs more optimization.
4 365 0.916962145964 Henry Cohn, 2025, needs more optimization.
4 366 0.917029402271 Henry Cohn, 2025, needs more optimization.
4 367 0.917177179225 Henry Cohn, 2025, needs more optimization.
4 368 0.917277717682 Henry Cohn, 2025, needs more optimization.
4 369 0.917436486429 Henry Cohn, 2025, needs more optimization.
4 370 0.917439792908 Henry Cohn, 2025, needs more optimization.
4 371 0.917494328437 Henry Cohn, 2025, needs more optimization.
4 372 0.918013926741 Henry Cohn, 2025, needs more optimization.
4 373 0.918344892501 Henry Cohn, 2025, needs more optimization.
4 374 0.918420270356 Henry Cohn, 2025, needs more optimization.
4 375 0.918526463589 Henry Cohn, 2025, needs more optimization.
4 376 0.918535742623 Henry Cohn, 2025, needs more optimization.
4 377 0.918730539822 Henry Cohn, 2025, needs more optimization.
4 378 0.918919933186 Henry Cohn, 2025, needs more optimization.
4 379 0.919070902954 Henry Cohn, 2025, needs more optimization.
4 380 0.919090573869 Henry Cohn, 2025, needs more optimization.
4 381 0.919165536172 Henry Cohn, 2025, needs more optimization.
4 382 0.919321752338 Henry Cohn, 2025, needs more optimization.
4 383 0.919323794064 Henry Cohn, 2025, needs more optimization.
4 384 0.919548740450 Henry Cohn, 2025, needs more optimization.
4 386 0.919557675020 Henry Cohn, 2025, needs more optimization.
4 387 0.919774310815 Henry Cohn, 2025, needs more optimization.
4 388 0.920060105676 Henry Cohn, 2025, needs more optimization.
4 389 0.920173226777 Henry Cohn, 2025, needs more optimization.
4 390 0.920408367300 Henry Cohn, 2025, needs more optimization.
4 391 0.920444192104 Henry Cohn, 2025, needs more optimization.
4 392 0.920447703150 Henry Cohn, 2025, needs more optimization.
4 393 0.920566763403 Henry Cohn, 2025, needs more optimization.
4 394 0.920576298740 Henry Cohn, 2025, needs more optimization.
4 395 0.920801296768 Henry Cohn, 2025, needs more optimization.
4 397 0.921058203494 Henry Cohn, 2025, needs more optimization.
4 398 0.921351647740 Henry Cohn, 2025, needs more optimization.
4 399 0.921415178392 Henry Cohn, 2025, needs more optimization.
4 401 0.921560426099 Henry Cohn, 2025, needs more optimization.
4 402 0.921976409823 Henry Cohn, 2025, needs more optimization.
4 403 0.921986697154 Henry Cohn, 2025, needs more optimization.
4 404 0.922099271896 Henry Cohn, 2025, needs more optimization.
4 405 0.922237880400 Henry Cohn, 2025, needs more optimization.
4 406 0.922250708426 Henry Cohn, 2025, needs more optimization.
4 407 0.922506994610 Henry Cohn, 2025, needs more optimization.
4 408 0.922591943667 Henry Cohn, 2025, needs more optimization.
4 409 0.923056111093 Henry Cohn, 2025, needs more optimization.
4 410 0.923058192608 Henry Cohn, 2025, needs more optimization.
4 411 0.923061093502 Henry Cohn, 2025, needs more optimization.
4 412 0.923152587038 Henry Cohn, 2025, needs more optimization.
4 413 0.923265302229 Henry Cohn, 2025, needs more optimization.
4 414 0.923266637240 Henry Cohn, 2025, needs more optimization.
4 415 0.923457912930 Henry Cohn, 2025, needs more optimization.
4 416 0.923493079825 Henry Cohn, 2025, needs more optimization.
4 417 0.924180211328 Henry Cohn, 2025, needs more optimization.
4 418 0.924202985128 Henry Cohn, 2025, needs more optimization.
4 419 0.924325560783 Henry Cohn, 2025, needs more optimization.
4 420 0.924349127027 Henry Cohn, 2025, needs more optimization.
4 421 0.924562571586 Henry Cohn, 2025, needs more optimization.
4 422 0.924884410024 Henry Cohn, 2025, needs more optimization.
4 423 0.924983111202 Henry Cohn, 2025, needs more optimization.
4 424 0.925181307410 Henry Cohn, 2025, needs more optimization.
4 425 0.925344656265 Henry Cohn, 2025, needs more optimization.
4 426 0.925371775974 Henry Cohn, 2025, needs more optimization.
4 427 0.925417074839 Henry Cohn, 2025, needs more optimization.
4 428 0.925533582659 Henry Cohn, 2025, needs more optimization.
4 429 0.925657954234 Henry Cohn, 2025, needs more optimization.
4 430 0.925766720152 Henry Cohn, 2025, needs more optimization.
4 431 0.925881333893 Henry Cohn, 2025, needs more optimization.
4 432 0.926039163350 Henry Cohn, 2025, needs more optimization.
4 433 0.926143801036 Henry Cohn, 2025, needs more optimization.
4 434 0.926412475868 Henry Cohn, 2025, needs more optimization.
4 435 0.926572001068 Henry Cohn, 2025, needs more optimization.
4 436 0.926702110733 Henry Cohn, 2025, needs more optimization.
4 437 0.926855073228 Henry Cohn, 2025, needs more optimization.
4 438 0.926855684601 Henry Cohn, 2025, needs more optimization.
4 439 0.927093468249 Henry Cohn, 2025, needs more optimization.
4 440 0.927150285831 Henry Cohn, 2025, needs more optimization.
4 441 0.927270883244 Henry Cohn, 2025, needs more optimization.
4 442 0.927285664979 Henry Cohn, 2025, needs more optimization.
4 443 0.927380803377 Henry Cohn, 2025, needs more optimization.
4 444 0.927439669297 Henry Cohn, 2025, needs more optimization.
4 445 0.927498184712 Henry Cohn, 2025, needs more optimization.
4 446 0.927688328376 Henry Cohn, 2025, needs more optimization.
4 447 0.927779601169 Henry Cohn, 2025, needs more optimization.
4 448 0.927913641653 Henry Cohn, 2025, needs more optimization.
4 449 0.928020259559 Henry Cohn, 2025, needs more optimization.
4 450 0.928076278877 Henry Cohn, 2025, needs more optimization.
4 451 0.928097969258 Henry Cohn, 2025, needs more optimization.
4 452 0.928200134709 Henry Cohn, 2025, needs more optimization.
4 453 0.928276308394 Henry Cohn, 2025, needs more optimization.
4 454 0.928373444080 Henry Cohn, 2025, needs more optimization.
4 455 0.928382237628 Henry Cohn, 2025, needs more optimization.
4 456 0.928554698947 Henry Cohn, 2025, needs more optimization.
4 457 0.928559891923 Henry Cohn, 2025, needs more optimization.
4 458 0.928714713007 Henry Cohn, 2025, needs more optimization.
4 459 0.928808529791 Henry Cohn, 2025, needs more optimization.
4 460 0.929066046804 Henry Cohn, 2025, needs more optimization.
4 461 0.929151290904 Henry Cohn, 2025, needs more optimization.
4 462 0.929180744654 Henry Cohn, 2025, needs more optimization.
4 463 0.929192297478 Henry Cohn, 2025, needs more optimization.
4 464 0.929307275731 Henry Cohn, 2025, needs more optimization.
4 465 0.929581950701 Henry Cohn, 2025, needs more optimization.
4 466 0.929681702940 Henry Cohn, 2025, needs more optimization.
4 467 0.929683139361 Henry Cohn, 2025, needs more optimization.
4 468 0.929794496603 Henry Cohn, 2025, needs more optimization.
4 469 0.929887193454 Henry Cohn, 2025, needs more optimization.
4 470 0.930050732787 Henry Cohn, 2025, needs more optimization.
4 471 0.930155433184 Henry Cohn, 2025, needs more optimization.
4 472 0.930304907664 Henry Cohn, 2025, needs more optimization.
4 473 0.930553943172 Henry Cohn, 2025, needs more optimization.
4 474 0.930642376691 Henry Cohn, 2025, needs more optimization.
4 475 0.930687865652 Henry Cohn, 2025, needs more optimization.
4 476 0.930820405012 Henry Cohn, 2025, needs more optimization.
4 477 0.930822108241 Henry Cohn, 2025, needs more optimization.
4 478 0.930993621103 Henry Cohn, 2025, needs more optimization.
4 479 0.931005433440 Henry Cohn, 2025, needs more optimization.
4 480 0.931114982216 Henry Cohn, 2025, needs more optimization.
4 481 0.931335892594 Henry Cohn, 2025, needs more optimization.
4 482 0.931383834111 Henry Cohn, 2025, needs more optimization.
4 483 0.931486386545 Henry Cohn, 2025, needs more optimization.
4 484 0.931590661416 Henry Cohn, 2025, needs more optimization.
4 485 0.931600630153 Henry Cohn, 2025, needs more optimization.
4 486 0.931721305317 Henry Cohn, 2025, needs more optimization.
4 487 0.931837199002 Henry Cohn, 2025, needs more optimization.
4 488 0.931876606116 Henry Cohn, 2025, needs more optimization.
4 489 0.931879460145 Henry Cohn, 2025, needs more optimization.
4 490 0.931986511493 Henry Cohn, 2025, needs more optimization.
4 491 0.932129469048 Henry Cohn, 2025, needs more optimization.
4 492 0.932142895255 Henry Cohn, 2025, needs more optimization.
4 493 0.932233789606 Henry Cohn, 2025, needs more optimization.
4 494 0.932236649025 Henry Cohn, 2025, needs more optimization.
4 495 0.932323203465 Henry Cohn, 2025, needs more optimization.
4 496 0.932500272178 Henry Cohn, 2025, needs more optimization.
4 497 0.932512624213 Henry Cohn, 2025, needs more optimization.
4 498 0.932639964149 Henry Cohn, 2025, needs more optimization.
4 499 0.932641716231 Henry Cohn, 2025, needs more optimization.
4 500 0.932795054621 Henry Cohn, 2025, needs more optimization.
4 501 0.932795380893 Henry Cohn, 2025, needs more optimization.
4 502 0.932905617000 Henry Cohn, 2025, needs more optimization.
4 503 0.933005617030 Henry Cohn, 2025, needs more optimization.
4 504 0.933045966254 Henry Cohn, 2025, needs more optimization.
4 505 0.933128723647 Henry Cohn, 2025, needs more optimization.
4 506 0.933176445799 Henry Cohn, 2025, needs more optimization.
4 507 0.933401471703 Henry Cohn, 2025, needs more optimization.
4 508 0.933457715953 Henry Cohn, 2025, needs more optimization.
4 510 0.933555212959 Henry Cohn, 2025, needs more optimization.
4 511 0.933749219404 Henry Cohn, 2025, needs more optimization.
4 512 0.933871961433 Henry Cohn, 2025, needs more optimization.
4 513 0.933900448023 Henry Cohn, 2025, needs more optimization.
4 514 0.933968668812 Henry Cohn, 2025, needs more optimization.
4 515 0.934045877825 Henry Cohn, 2025, needs more optimization.
4 516 0.934191837319 Henry Cohn, 2025, needs more optimization.
4 517 0.934200917573 Henry Cohn, 2025, needs more optimization.
4 518 0.934459599470 Henry Cohn, 2025, needs more optimization.
4 519 0.934540089409 Henry Cohn, 2025, needs more optimization.
4 520 0.934699248258 Henry Cohn, 2025, needs more optimization.
4 521 0.934710513177 Henry Cohn, 2025, needs more optimization.
4 522 0.934745753310 Henry Cohn, 2025, needs more optimization.
4 523 0.934853046955 Henry Cohn, 2025, needs more optimization.
4 524 0.934945726339 Henry Cohn, 2025, needs more optimization.
4 525 0.935029915567 Henry Cohn, 2025, needs more optimization.
4 526 0.935148024481 Henry Cohn, 2025, needs more optimization.
4 527 0.935256351959 Henry Cohn, 2025, needs more optimization.
4 528 0.935310315348 Henry Cohn, 2025, needs more optimization.
4 529 0.935320456465 Henry Cohn, 2025, needs more optimization.
4 530 0.935497863531 Henry Cohn, 2025, needs more optimization.
4 531 0.935510798794 Henry Cohn, 2025, needs more optimization.
4 532 0.935574253857 Henry Cohn, 2025, needs more optimization.
4 533 0.935676741118 Henry Cohn, 2025, needs more optimization.
4 534 0.935792201243 Henry Cohn, 2025, needs more optimization.
4 535 0.935811939995 Henry Cohn, 2025, needs more optimization.
4 536 0.935910089175 Henry Cohn, 2025, needs more optimization.
4 537 0.935917755614 Henry Cohn, 2025, needs more optimization.
4 538 0.936073641293 Henry Cohn, 2025, needs more optimization.
4 539 0.936110781883 Henry Cohn, 2025, needs more optimization.
4 540 0.936190100110 Henry Cohn, 2025, needs more optimization.
4 541 0.936301405234 Henry Cohn, 2025, needs more optimization.
4 542 0.936307463358 Henry Cohn, 2025, needs more optimization.
4 543 0.936417878772 Henry Cohn, 2025, needs more optimization.
4 545 0.936558367404 Henry Cohn, 2025, needs more optimization.
4 546 0.936667874314 Henry Cohn, 2025, needs more optimization.
4 547 0.936745439162 Henry Cohn, 2025, needs more optimization.
4 548 0.936756490066 Henry Cohn, 2025, needs more optimization.
4 549 0.936916079422 Henry Cohn, 2025, needs more optimization.
4 550 0.936924598403 Henry Cohn, 2025, needs more optimization.
4 551 0.937087555594 Henry Cohn, 2025, needs more optimization.
4 552 0.937093089687 Henry Cohn, 2025, needs more optimization.
4 553 0.937240543392 Henry Cohn, 2025, needs more optimization.
4 554 0.937332328028 Henry Cohn, 2025, needs more optimization.
4 555 0.937361688429 Henry Cohn, 2025, needs more optimization.
4 556 0.937380785440 Henry Cohn, 2025, needs more optimization.
4 557 0.937468418241 Henry Cohn, 2025, needs more optimization.
4 558 0.937708798478 Henry Cohn, 2025, needs more optimization.
4 559 0.937710052202 Henry Cohn, 2025, needs more optimization.
4 560 0.937741116225 Henry Cohn, 2025, needs more optimization.
4 561 0.937830441598 Henry Cohn, 2025, needs more optimization.
4 562 0.937832503268 Henry Cohn, 2025, needs more optimization.
4 563 0.937955041395 Henry Cohn, 2025, needs more optimization.
4 564 0.937956581160 Henry Cohn, 2025, needs more optimization.
4 565 0.938152651024 Henry Cohn, 2025, needs more optimization.
4 566 0.938200710767 Henry Cohn, 2025, needs more optimization.
4 567 0.938202567350 Henry Cohn, 2025, needs more optimization.
4 568 0.938332222027 Henry Cohn, 2025, needs more optimization.
4 569 0.938362527541 Henry Cohn, 2025, needs more optimization.
4 570 0.938496721966 Henry Cohn, 2025, needs more optimization.
4 571 0.938513797968 Henry Cohn, 2025, needs more optimization.
4 572 0.938564289842 Henry Cohn, 2025, needs more optimization.
4 573 0.938764076152 Henry Cohn, 2025, needs more optimization.
4 574 0.938926625054 Henry Cohn, 2025, needs more optimization.
4 575 0.938934741529 Henry Cohn, 2025, needs more optimization.
4 576 0.939022786047 Henry Cohn, 2025, needs more optimization.
4 577 0.939023197122 Henry Cohn, 2025, needs more optimization.
4 578 0.939072946058 Henry Cohn, 2025, needs more optimization.
4 579 0.939148002539 Henry Cohn, 2025, needs more optimization.
4 580 0.939203465548 Henry Cohn, 2025, needs more optimization.
4 581 0.939215112774 Henry Cohn, 2025, needs more optimization.
4 582 0.939309037034 Henry Cohn, 2025, needs more optimization.
4 583 0.939358108278 Henry Cohn, 2025, needs more optimization.
4 584 0.939443313373 Henry Cohn, 2025, needs more optimization.
4 585 0.939460812797 Henry Cohn, 2025, needs more optimization.
4 586 0.939577441003 Henry Cohn, 2025, needs more optimization.
4 587 0.939584535675 Henry Cohn, 2025, needs more optimization.
4 588 0.939586399672 Henry Cohn, 2025, needs more optimization.
4 590 0.939702708834 Henry Cohn, 2025, needs more optimization.
4 592 0.939870690648 Henry Cohn, 2025, needs more optimization.
4 594 0.939873648153 Henry Cohn, 2025, needs more optimization.
4 595 0.939984113721 Henry Cohn, 2025, needs more optimization.
4 596 0.939990008257 Henry Cohn, 2025, needs more optimization.
4 597 0.940099681249 Henry Cohn, 2025, needs more optimization.
4 598 0.940191505371 Henry Cohn, 2025, needs more optimization.
4 600 0.940371740470 Henry Cohn, 2025, needs more optimization.
4 601 0.940462666331 Henry Cohn, 2025, needs more optimization.
4 602 0.940524172905 Henry Cohn, 2025, needs more optimization.
4 603 0.940525601449 Henry Cohn, 2025, needs more optimization.
4 604 0.940584477886 Henry Cohn, 2025, needs more optimization.
4 605 0.940660094668 Henry Cohn, 2025, needs more optimization.
4 606 0.940662163379 Henry Cohn, 2025, needs more optimization.
4 607 0.940742759433 Henry Cohn, 2025, needs more optimization.
4 608 0.940832192314 Henry Cohn, 2025, needs more optimization.
4 609 0.940963167178 Henry Cohn, 2025, needs more optimization.
4 610 0.940986838892 Henry Cohn, 2025, needs more optimization.
4 611 0.941051663092 Henry Cohn, 2025, needs more optimization.
4 612 0.941115211625 Henry Cohn, 2025, needs more optimization.
4 613 0.941175083386 Henry Cohn, 2025, needs more optimization.
4 614 0.941195978677 Henry Cohn, 2025, needs more optimization.
4 615 0.941275082999 Henry Cohn, 2025, needs more optimization.
4 616 0.941285182477 Henry Cohn, 2025, needs more optimization.
4 617 0.941535461906 Henry Cohn, 2025, needs more optimization.
4 618 0.941538011697 Henry Cohn, 2025, needs more optimization.
4 619 0.941542102122 Henry Cohn, 2025, needs more optimization.
4 620 0.941642267240 Henry Cohn, 2025, needs more optimization.
4 621 0.941645219406 Henry Cohn, 2025, needs more optimization.
4 622 0.941700914059 Henry Cohn, 2025, needs more optimization.
4 623 0.941795939611 Henry Cohn, 2025, needs more optimization.
4 624 0.941798720057 Henry Cohn, 2025, needs more optimization.
4 625 0.941981654285 Henry Cohn, 2025, needs more optimization.
4 626 0.942000937392 Henry Cohn, 2025, needs more optimization.
4 627 0.942024040458 Henry Cohn, 2025, needs more optimization.
4 628 0.942134996678 Henry Cohn, 2025, needs more optimization.
4 629 0.942192328200 Henry Cohn, 2025, needs more optimization.
4 631 0.942363907789 Henry Cohn, 2025, needs more optimization.
4 632 0.942397949374 Henry Cohn, 2025, needs more optimization.
4 633 0.942473650646 Henry Cohn, 2025, needs more optimization.
4 634 0.942736605951 Henry Cohn, 2025, needs more optimization.
4 636 0.942737019308 Henry Cohn, 2025, needs more optimization.
4 637 0.942739881086 Henry Cohn, 2025, needs more optimization.
4 638 0.942777496521 Henry Cohn, 2025, needs more optimization.
4 639 0.942840895043 Henry Cohn, 2025, needs more optimization.
4 640 0.942975735953 Henry Cohn, 2025, needs more optimization.
4 641 0.943053870812 Henry Cohn, 2025, needs more optimization.
4 642 0.943077371614 Henry Cohn, 2025, needs more optimization.
4 643 0.943078020099 Henry Cohn, 2025, needs more optimization.
4 644 0.943180934082 Henry Cohn, 2025, needs more optimization.
4 645 0.943268148108 Henry Cohn, 2025, needs more optimization.
4 646 0.943271114637 Henry Cohn, 2025, needs more optimization.
4 647 0.943280433531 Henry Cohn, 2025, needs more optimization.
4 648 0.943291031540 Henry Cohn, 2025, needs more optimization.
4 651 0.943398346882 Henry Cohn, 2025, needs more optimization.
4 652 0.943423999601 Henry Cohn, 2025, needs more optimization.
4 653 0.943464499018 Henry Cohn, 2025, needs more optimization.
4 654 0.943482524163 Henry Cohn, 2025, needs more optimization.
4 655 0.943571235187 Henry Cohn, 2025, needs more optimization.
4 657 0.943574218096 Henry Cohn, 2025, needs more optimization.
4 658 0.943601414683 Henry Cohn, 2025, needs more optimization.
4 659 0.943721696295 Henry Cohn, 2025, needs more optimization.
4 660 0.943760203269 Henry Cohn, 2025, needs more optimization.
4 661 0.943762982095 Henry Cohn, 2025, needs more optimization.
4 662 0.943765195886 Henry Cohn, 2025, needs more optimization.
4 663 0.943845477640 Henry Cohn, 2025, needs more optimization.
4 664 0.943845907973 Henry Cohn, 2025, needs more optimization.
4 665 0.943851005572 Henry Cohn, 2025, needs more optimization.
4 666 0.943921780861 Henry Cohn, 2025, needs more optimization.
4 667 0.943923348839 Henry Cohn, 2025, needs more optimization.
4 668 0.943926024634 Henry Cohn, 2025, needs more optimization.
4 669 0.944001949709 Henry Cohn, 2025, needs more optimization.
4 670 0.944106517091 Henry Cohn, 2025, needs more optimization.
4 671 0.944118208019 Henry Cohn, 2025, needs more optimization.
4 672 0.944257110951 Henry Cohn, 2025, needs more optimization.
4 673 0.944357960966 Henry Cohn, 2025, needs more optimization.
4 674 0.944368205369 Henry Cohn, 2025, needs more optimization.
4 675 0.944537997000 Henry Cohn, 2025, needs more optimization.
4 676 0.944653424057 Henry Cohn, 2025, needs more optimization.
4 677 0.944654580816 Henry Cohn, 2025, needs more optimization.
4 679 0.944725392304 Henry Cohn, 2025, needs more optimization.
4 680 0.944745136087 Henry Cohn, 2025, needs more optimization.
4 681 0.944750448051 Henry Cohn, 2025, needs more optimization.
4 682 0.944862745434 Henry Cohn, 2025, needs more optimization.
4 683 0.944865066521 Henry Cohn, 2025, needs more optimization.
4 684 0.944933518727 Henry Cohn, 2025, needs more optimization.
4 685 0.945004560575 Henry Cohn, 2025, needs more optimization.
4 686 0.945085693951 Henry Cohn, 2025, needs more optimization.
4 688 0.945447074838 Henry Cohn, 2025, needs more optimization.
4 689 0.945721674323 Henry Cohn, 2025, needs more optimization.
4 690 0.945778436721 Henry Cohn, 2025, needs more optimization.
4 691 0.945834751690 Henry Cohn, 2025, needs more optimization.
4 692 0.945893749976 Henry Cohn, 2025, needs more optimization.
4 693 0.945961558591 Henry Cohn, 2025, needs more optimization.
4 694 0.945973683104 Henry Cohn, 2025, needs more optimization.
4 695 0.946062307104 Henry Cohn, 2025, needs more optimization.
4 696 0.946064376382 Henry Cohn, 2025, needs more optimization.
4 697 0.946179220827 Henry Cohn, 2025, needs more optimization.
4 699 0.946181312763 Henry Cohn, 2025, needs more optimization.
4 700 0.946294716396 Henry Cohn, 2025, needs more optimization.
4 701 0.946313706669 Henry Cohn, 2025, needs more optimization.
4 703 0.946361301050 Henry Cohn, 2025, needs more optimization.
4 704 0.946441959272 Henry Cohn, 2025, needs more optimization.
4 705 0.946448765341 Henry Cohn, 2025, needs more optimization.
4 706 0.946659886889 Henry Cohn, 2025, needs more optimization.
4 708 0.946704625235 Henry Cohn, 2025, needs more optimization.
4 709 0.946724955645 Henry Cohn, 2025, needs more optimization.
4 710 0.946798428027 Henry Cohn, 2025, needs more optimization.
4 711 0.946799028393 Henry Cohn, 2025, needs more optimization.
4 712 0.946803907594 Henry Cohn, 2025, needs more optimization.
4 713 0.946806771675 Henry Cohn, 2025, needs more optimization.
4 714 0.946809053162 Henry Cohn, 2025, needs more optimization.
4 716 0.946910724065 Henry Cohn, 2025, needs more optimization.
4 717 0.946971040451 Henry Cohn, 2025, needs more optimization.
4 718 0.947016481068 Henry Cohn, 2025, needs more optimization.
4 719 0.947101600364 Henry Cohn, 2025, needs more optimization.
4 720 0.947123077639 Henry Cohn, 2025, needs more optimization.
4 721 0.947161517163 Henry Cohn, 2025, needs more optimization.
4 723 0.947182737169 Henry Cohn, 2025, needs more optimization.
4 726 0.947247520945 Henry Cohn, 2025, needs more optimization.
4 727 0.947393292682 Henry Cohn, 2025, needs more optimization.
4 728 0.947454698874 Henry Cohn, 2025, needs more optimization.
4 729 0.947469400252 Henry Cohn, 2025, needs more optimization.
4 730 0.947471353781 Henry Cohn, 2025, needs more optimization.
4 732 0.947578648263 Henry Cohn, 2025, needs more optimization.
4 733 0.947580880680 Henry Cohn, 2025, needs more optimization.
4 734 0.947587098177 Henry Cohn, 2025, needs more optimization.
4 735 0.947704896785 Henry Cohn, 2025, needs more optimization.
4 736 0.947724781347 Henry Cohn, 2025, needs more optimization.
4 737 0.947873619399 Henry Cohn, 2025, needs more optimization.
4 738 0.947911079645 Henry Cohn, 2025, needs more optimization.
4 739 0.947994127717 Henry Cohn, 2025, needs more optimization.
4 740 0.948012279403 Henry Cohn, 2025, needs more optimization.
4 742 0.948115925600 Henry Cohn, 2025, needs more optimization.
4 743 0.948130950024 Henry Cohn, 2025, needs more optimization.
4 744 0.948152146488 Henry Cohn, 2025, needs more optimization.
4 745 0.948209845355 Henry Cohn, 2025, needs more optimization.
4 746 0.948222072640 Henry Cohn, 2025, needs more optimization.
4 747 0.948235644427 Henry Cohn, 2025, needs more optimization.
4 748 0.948399566406 Henry Cohn, 2025, needs more optimization.
4 749 0.948418862050 Henry Cohn, 2025, needs more optimization.
4 750 0.948440253095 Henry Cohn, 2025, needs more optimization.
4 751 0.948442577355 Henry Cohn, 2025, needs more optimization.
4 752 0.948443809138 Henry Cohn, 2025, needs more optimization.
4 754 0.948607930042 Henry Cohn, 2025, needs more optimization.
4 755 0.948686377959 Henry Cohn, 2025, needs more optimization.
4 756 0.948783172816 Henry Cohn, 2025, needs more optimization.
4 757 0.948790562007 Henry Cohn, 2025, needs more optimization.
4 758 0.948792950573 Henry Cohn, 2025, needs more optimization.
4 759 0.948822279577 Henry Cohn, 2025, needs more optimization.
4 760 0.948847093195 Henry Cohn, 2025, needs more optimization.
4 761 0.948855225174 Henry Cohn, 2025, needs more optimization.
4 762 0.948949691720 Henry Cohn, 2025, needs more optimization.
4 763 0.948951196392 Henry Cohn, 2025, needs more optimization.
4 764 0.948995346035 Henry Cohn, 2025, needs more optimization.
4 765 0.949001397228 Henry Cohn, 2025, needs more optimization.
4 766 0.949201763015 Henry Cohn, 2025, needs more optimization.
4 767 0.949231026771 Henry Cohn, 2025, needs more optimization.
4 768 0.949238347084 Henry Cohn, 2025, needs more optimization.
4 769 0.949286084357 Henry Cohn, 2025, needs more optimization.
4 770 0.949421303360 Henry Cohn, 2025, needs more optimization.
4 772 0.949451167832 Henry Cohn, 2025, needs more optimization.
4 774 0.949541492197 Henry Cohn, 2025, needs more optimization.
4 776 0.949588684183 Henry Cohn, 2025, needs more optimization.
4 778 0.949743249589 Henry Cohn, 2025, needs more optimization.
4 779 0.949753167737 Henry Cohn, 2025, needs more optimization.
4 780 0.949784089874 Henry Cohn, 2025, needs more optimization.
4 781 0.949987000772 Henry Cohn, 2025, needs more optimization.
4 782 0.949988721320 Henry Cohn, 2025, needs more optimization.
4 787 0.949998985865 Henry Cohn, 2025, needs more optimization.
4 788 0.950003332111 Henry Cohn, 2025, needs more optimization.
4 789 0.950008069781 Henry Cohn, 2025, needs more optimization.
4 792 0.950269721141 Henry Cohn, 2025, needs more optimization.
4 794 0.950452996933 Henry Cohn, 2025, needs more optimization.
4 798 0.950456541411 Henry Cohn, 2025, needs more optimization.
4 799 0.950459750447 Henry Cohn, 2025, needs more optimization.
4 802 0.950462877663 Henry Cohn, 2025, needs more optimization.
4 803 0.950465283823 Henry Cohn, 2025, needs more optimization.
4 805 0.950796698236 Henry Cohn, 2025, needs more optimization.
4 808 0.950799903405 Henry Cohn, 2025, needs more optimization.
4 809 0.950802060109 Henry Cohn, 2025, needs more optimization.
4 811 0.950802176814 Henry Cohn, 2025, needs more optimization.
4 812 0.950802412035 Henry Cohn, 2025, needs more optimization.
4 814 0.950804389081 Henry Cohn, 2025, needs more optimization.
4 815 0.950807135881 Henry Cohn, 2025, needs more optimization.
4 818 0.950807478550 Henry Cohn, 2025, needs more optimization.
4 819 0.950808193676 Henry Cohn, 2025, needs more optimization.
4 820 0.950809146779 Henry Cohn, 2025, needs more optimization.
4 821 0.950809473017 Henry Cohn, 2025, needs more optimization.
4 822 0.950810509546 Henry Cohn, 2025, needs more optimization.
4 825 0.950811659810 Henry Cohn, 2025, needs more optimization.
4 826 0.950813655405 Henry Cohn, 2025, needs more optimization.
4 827 0.950814044741 Henry Cohn, 2025, needs more optimization.
4 828 0.950814363571 Henry Cohn, 2025, needs more optimization.
4 840 0.950814714320 Henry Cohn, 2025, needs more optimization.
4 844 0.951974354896 Henry Cohn, 2025, needs more optimization.
4 845 0.952192208755 Henry Cohn, 2025, needs more optimization.
4 847 0.952217603021 Henry Cohn, 2025, needs more optimization.
4 848 0.952218987686 Henry Cohn, 2025, needs more optimization.
4 849 0.952222127536 Henry Cohn, 2025, needs more optimization.
4 850 0.952239784851 Henry Cohn, 2025, needs more optimization.
4 851 0.952280860206 Henry Cohn, 2025, needs more optimization.
4 852 0.952296348674 Henry Cohn, 2025, needs more optimization.
4 853 0.952305685659 Henry Cohn, 2025, needs more optimization.
4 854 0.952451571595 Henry Cohn, 2025, needs more optimization.
4 856 0.952469970909 Henry Cohn, 2025, needs more optimization.
4 857 0.952471686698 Henry Cohn, 2025, needs more optimization.
4 858 0.952695248097 Henry Cohn, 2025, needs more optimization.
4 859 0.952722688917 Henry Cohn, 2025, needs more optimization.
4 860 0.952741803757 Henry Cohn, 2025, needs more optimization.
4 861 0.952763448969 Henry Cohn, 2025, needs more optimization.
4 864 0.952880336415 Henry Cohn, 2025, needs more optimization.
4 866 0.952882242899 Henry Cohn, 2025, needs more optimization.
4 867 0.952902665462 Henry Cohn, 2025, needs more optimization.
4 868 0.952906611806 Henry Cohn, 2025, needs more optimization.
4 869 0.952918558454 Henry Cohn, 2025, needs more optimization.
4 872 0.953067626897 Henry Cohn, 2025, needs more optimization.
4 874 0.953104992009 Henry Cohn, 2025, needs more optimization.
4 875 0.953106537053 Henry Cohn, 2025, needs more optimization.
4 876 0.953108610967 Henry Cohn, 2025, needs more optimization.
4 877 0.953110513304 Henry Cohn, 2025, needs more optimization.
4 878 0.953221747445 Henry Cohn, 2025, needs more optimization.
4 880 0.953473362023 Henry Cohn, 2025, needs more optimization.
4 881 0.953500423826 Henry Cohn, 2025, needs more optimization.
4 882 0.953513958696 Henry Cohn, 2025, needs more optimization.
4 884 0.953525074998 Henry Cohn, 2025, needs more optimization.
4 885 0.953660979356 Henry Cohn, 2025, needs more optimization.
4 886 0.953673966330 Henry Cohn, 2025, needs more optimization.
4 887 0.953695413781 Henry Cohn, 2025, needs more optimization.
4 889 0.953706262664 Henry Cohn, 2025, needs more optimization.
4 890 0.953717464100 Henry Cohn, 2025, needs more optimization.
4 891 0.953856705201 Henry Cohn, 2025, needs more optimization.
4 893 0.953864479437 Henry Cohn, 2025, needs more optimization.
4 895 0.953876489808 Henry Cohn, 2025, needs more optimization.
4 896 0.953890026058 Henry Cohn, 2025, needs more optimization.
4 898 0.953951399068 Henry Cohn, 2025, needs more optimization.
4 899 0.954065030886 Henry Cohn, 2025, needs more optimization.
4 900 0.954066618613 Henry Cohn, 2025, needs more optimization.
4 902 0.954068349973 Henry Cohn, 2025, needs more optimization.
4 904 0.954139878150 Henry Cohn, 2025, needs more optimization.
4 905 0.954145649734 Henry Cohn, 2025, needs more optimization.
4 908 0.954165607366 Henry Cohn, 2025, needs more optimization.
4 909 0.954212784429 Henry Cohn, 2025, needs more optimization.
4 910 0.954234701048 Henry Cohn, 2025, needs more optimization.
4 911 0.954244205857 Henry Cohn, 2025, needs more optimization.
4 913 0.954332978380 Henry Cohn, 2025, needs more optimization.
4 914 0.954365078066 Henry Cohn, 2025, needs more optimization.
4 915 0.954371201370 Henry Cohn, 2025, needs more optimization.
4 916 0.954372638011 Henry Cohn, 2025, needs more optimization.
4 917 0.954373815292 Henry Cohn, 2025, needs more optimization.
4 918 0.954377733468 Henry Cohn, 2025, needs more optimization.
4 919 0.954508077275 Henry Cohn, 2025, needs more optimization.
4 920 0.954551773423 Henry Cohn, 2025, needs more optimization.
4 921 0.954564180783 Henry Cohn, 2025, needs more optimization.
4 923 0.954634824918 Henry Cohn, 2025, needs more optimization.
4 924 0.954806246462 Henry Cohn, 2025, needs more optimization.
4 925 0.954808607347 Henry Cohn, 2025, needs more optimization.
4 926 0.954811686442 Henry Cohn, 2025, needs more optimization.
4 927 0.954936284612 Henry Cohn, 2025, needs more optimization.
4 928 0.954938527440 Henry Cohn, 2025, needs more optimization.
4 929 0.954965530923 Henry Cohn, 2025, needs more optimization.
4 930 0.954992520001 Henry Cohn, 2025, needs more optimization.
4 931 0.955015118515 Henry Cohn, 2025, needs more optimization.
4 932 0.955021331426 Henry Cohn, 2025, needs more optimization.
4 933 0.955051675674 Henry Cohn, 2025, needs more optimization.
4 934 0.955120742765 Henry Cohn, 2025, needs more optimization.
4 936 0.955265605111 Henry Cohn, 2025, needs more optimization.
4 938 0.955268615415 Henry Cohn, 2025, needs more optimization.
4 940 0.955356743070 Henry Cohn, 2025, needs more optimization.
4 942 0.955390217674 Henry Cohn, 2025, needs more optimization.
4 943 0.955412046992 Henry Cohn, 2025, needs more optimization.
4 944 0.955652606139 Henry Cohn, 2025, needs more optimization.
4 945 0.955697619501 Henry Cohn, 2025, needs more optimization.
4 946 0.955703691705 Henry Cohn, 2025, needs more optimization.
4 947 0.955740079345 Henry Cohn, 2025, needs more optimization.
4 950 0.955837391408 Henry Cohn, 2025, needs more optimization.
4 951 0.955847659425 Henry Cohn, 2025, needs more optimization.
4 952 0.955906430157 Henry Cohn, 2025, needs more optimization.
4 953 0.955925972593 Henry Cohn, 2025, needs more optimization.
4 954 0.955939281773 Henry Cohn, 2025, needs more optimization.
4 955 0.955940232145 Henry Cohn, 2025, needs more optimization.
4 958 0.955976390468 Henry Cohn, 2025, needs more optimization.
4 959 0.956001332303 Henry Cohn, 2025, needs more optimization.
4 960 0.956006684228 Henry Cohn, 2025, needs more optimization.
4 961 0.956012985017 Henry Cohn, 2025, needs more optimization.
4 962 0.956018479619 Henry Cohn, 2025, needs more optimization.
4 964 0.956102073169 Henry Cohn, 2025, needs more optimization.
4 966 0.956111821146 Henry Cohn, 2025, needs more optimization.
4 970 0.956173518471 Henry Cohn, 2025, needs more optimization.
4 971 0.956192662084 Henry Cohn, 2025, needs more optimization.
4 972 0.956236584440 Henry Cohn, 2025, needs more optimization.
4 973 0.956331648598 Henry Cohn, 2025, needs more optimization.
4 974 0.956332591997 Henry Cohn, 2025, needs more optimization.
4 975 0.956340300559 Henry Cohn, 2025, needs more optimization.
4 976 0.956436884380 Henry Cohn, 2025, needs more optimization.
4 977 0.956436890459 Henry Cohn, 2025, needs more optimization.
4 978 0.956455330719 Henry Cohn, 2025, needs more optimization.
4 979 0.956490512655 Henry Cohn, 2025, needs more optimization.
4 980 0.956507243147 Henry Cohn, 2025, needs more optimization.
4 981 0.956578822561 Henry Cohn, 2025, needs more optimization.
4 982 0.956586099669 Henry Cohn, 2025, needs more optimization.
4 983 0.956655794511 Henry Cohn, 2025, needs more optimization.
4 984 0.956678787918 Henry Cohn, 2025, needs more optimization.
4 985 0.956685779073 Henry Cohn, 2025, needs more optimization.
4 986 0.956687258610 Henry Cohn, 2025, needs more optimization.
4 987 0.956731139388 Henry Cohn, 2025, needs more optimization.
4 988 0.956861744160 Henry Cohn, 2025, needs more optimization.
4 989 0.956962111341 Henry Cohn, 2025, needs more optimization.
4 990 0.957091191979 Henry Cohn, 2025, needs more optimization.
4 991 0.957174095123 Henry Cohn, 2025, needs more optimization.
4 992 0.957243758842 Henry Cohn, 2025, needs more optimization.
4 994 0.957330704605 Henry Cohn, 2025, needs more optimization.
4 997 0.957469247295 Henry Cohn, 2025, needs more optimization.
4 998 0.957621992405 Henry Cohn, 2025, needs more optimization.
4 999 0.957624065661 Henry Cohn, 2025, needs more optimization.
4 1001 0.957725518200 Henry Cohn, 2025, needs more optimization.
4 1002 0.957879169599 Henry Cohn, 2025, needs more optimization.
4 1003 0.957879722807 Henry Cohn, 2025, needs more optimization.
4 1005 0.957937222205 Henry Cohn, 2025, needs more optimization.
4 1006 0.958016244316 Henry Cohn, 2025, needs more optimization.
4 1007 0.958019677521 Henry Cohn, 2025, needs more optimization.
4 1008 0.958025392605 Henry Cohn, 2025, needs more optimization.
4 1009 0.958106506971 Henry Cohn, 2025, needs more optimization.
4 1010 0.958110803874 Henry Cohn, 2025, needs more optimization.
4 1011 0.958226509570 Henry Cohn, 2025, needs more optimization.
4 1012 0.958235111952 Henry Cohn, 2025, needs more optimization.
4 1013 0.958243797980 Henry Cohn, 2025, needs more optimization.
4 1014 0.958253768235 Henry Cohn, 2025, needs more optimization.
4 1015 0.958307571281 Henry Cohn, 2025, needs more optimization.
4 1016 0.958323657483 Henry Cohn, 2025, needs more optimization.
4 1017 0.958433314810 Henry Cohn, 2025, needs more optimization.
4 1018 0.958440203229 Henry Cohn, 2025, needs more optimization.
4 1019 0.958445491484 Henry Cohn, 2025, needs more optimization.
4 1021 0.958498653524 Henry Cohn, 2025, needs more optimization.
4 1023 0.958667893556 Henry Cohn, 2025, needs more optimization.
4 1024 0.958677833225 Henry Cohn, 2025, 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 0.566884877287 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
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 0.609103619699 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
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 0.615266321084 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 0.640236710534 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
5 79 0.643753102901 Henry Cohn, 2025.
5 80 0.646960184204 Henry Cohn, 2025.
5 81 0.648895057989 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
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 0.660931784557 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 0.664477235588 Henry Cohn, 2023.
5 89 0.666347999639 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
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, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
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 0.673832800816 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
5 94 0.675240791464 Henry Cohn, 2025.
5 95 0.676620872652 Henry Cohn, 2025.
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 0.679247088318 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 0.685227033891 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
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 0.688905339886 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
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 0.690728512206 Henry Cohn, 2025.
5 106 0.692006929261 Henry Cohn, 2025.
5 107 0.693864161444 Henry Cohn, 2023.
5 108 0.695372507746 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
5 109 0.696434702697 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
5 110 0.698105081148 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
5 111 0.699318689076 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
5 112 0.700444084148 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
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 0.703017238158 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
5 115 0.704067616852 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
5 116 0.705352999078 Henry Cohn, 2023.
5 117 0.706882139184 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
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 0.709352721779 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
5 120 0.710427148894 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 0.713919145331 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
5 124 0.715099002544 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
5 125 0.716605844513 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
5 126 0.717145190665 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
5 127 0.718613505104 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
5 128 0.719655857739 Henry Cohn, 2025.
5 129 0.720947866937 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
5 130 0.721730094738 N. J. A. Sloane, with the collaboration of R. H. Hardin, W. D. Smith, and others, Tables of spherical codes, 1994–1996.
5 131 0.723323253561 Henry Cohn, 2025, needs more optimization.
5 132 0.724849543333 Henry Cohn, 2025.
5 133 0.726102416252 Henry Cohn, 2025, needs more optimization.
5 134 0.726845848163 Henry Cohn, 2025.
5 135 0.727901938687 Henry Cohn, 2024.
5 136 0.728795142787 Henry Cohn, 2025.
5 137 0.730137625404 Henry Cohn, 2025.
5 138 0.730258203182 Henry Cohn, 2025.
5 139 0.731219889373 Henry Cohn, 2025.
5 140 0.732079054288 Henry Cohn, 2025.
5 141 0.733321497680 Henry Cohn, 2025, needs more optimization.
5 142 0.733700667628 Henry Cohn, 2025.
5 143 0.734579747368 Henry Cohn, 2025.
5 144 0.735233841645 Henry Cohn, 2025, needs more optimization.
5 145 0.736652862664 Henry Cohn, 2025.
5 146 0.736765825661 Henry Cohn, 2025, needs more optimization.
5 147 0.737456709632 Henry Cohn, 2024, needs more optimization.
5 148 0.737462993030 Henry Cohn, 2025, needs more optimization.
5 149 0.738328018927 Henry Cohn, 2025.
5 150 0.738349348874 Henry Cohn, 2024.
5 151 0.739674819120 Henry Cohn, 2024, needs more optimization.
5 152 0.739876190186 Henry Cohn, 2025.
5 153 0.740845170487 Henry Cohn, 2025.
5 154 0.741489868703 Henry Cohn, 2025, needs more optimization.
5 155 0.742219030000 Henry Cohn, 2025, needs more optimization.
5 156 0.742861622010 Henry Cohn, 2025, needs more optimization.
5 157 0.743341541217 Henry Cohn, 2024, needs more optimization.
5 158 0.743505412747 Henry Cohn, 2024, needs more optimization.
5 159 0.744017236520 Henry Cohn, 2025.
5 160 0.744199738783 Henry Cohn, 2024, needs more optimization.
5 161 0.747801779476 Henry Cohn, 2024, needs more optimization.
5 162 0.748865834405 Henry Cohn, 2024, needs more optimization.
5 163 0.750226685590 Henry Cohn, 2024, needs more optimization.
5 164 0.750893520872 Henry Cohn, 2024, needs more optimization.
5 165 0.752193377491 Henry Cohn, 2025, needs more optimization.
5 166 0.752576713906 Henry Cohn, 2025.
5 167 0.753719771569 Henry Cohn, 2024, needs more optimization.
5 168 0.754280841444 Henry Cohn, 2024, needs more optimization.
5 169 0.755539175642 Henry Cohn, 2024, needs more optimization.
5 170 0.755994225479 Henry Cohn, 2024, needs more optimization.
5 171 0.756855786713 Henry Cohn, 2025, needs more optimization.
5 172 0.757391724917 Henry Cohn, 2024, needs more optimization.
5 173 0.759204089942 Henry Cohn, 2024, needs more optimization.
5 174 0.759690412111 Henry Cohn, 2025.
5 175 0.760763149836 Henry Cohn, 2025, needs more optimization.
5 176 0.761291434804 Henry Cohn, 2024, needs more optimization.
5 177 0.762879443582 Henry Cohn, 2025.
5 178 0.763376958827 Henry Cohn, 2024, needs more optimization.
5 179 0.764697635597 Henry Cohn, 2024, needs more optimization.
5 180 0.764934172446 Henry Cohn, 2024, needs more optimization.
5 181 0.765782579080 Henry Cohn, 2024, needs more optimization.
5 182 0.766040752159 Henry Cohn, 2025, needs more optimization.
5 183 0.766822489606 Henry Cohn, 2025, needs more optimization.
5 184 0.767122188551 Henry Cohn, 2025, needs more optimization.
5 185 0.767351322558 Henry Cohn, 2024, needs more optimization.
5 186 0.769110365330 Henry Cohn, 2025, needs more optimization.
5 187 0.769453923787 Henry Cohn, 2024, needs more optimization.
5 188 0.769538048912 Henry Cohn, 2024, needs more optimization.
5 189 0.770055153986 Henry Cohn, 2025, needs more optimization.
5 190 0.770226475575 Henry Cohn, 2024, needs more optimization.
5 191 0.770533732385 Henry Cohn, 2025, needs more optimization.
5 192 0.771396867579 Henry Cohn, 2025, needs more optimization.
5 193 0.771802171055 Henry Cohn, 2025, needs more optimization.
5 194 0.772376104314 Henry Cohn, 2025, needs more optimization.
5 195 0.773813006437 Henry Cohn, 2024, needs more optimization.
5 196 0.773839798481 Henry Cohn, 2024, needs more optimization.
5 197 0.774304415129 Henry Cohn, 2024, needs more optimization.
5 198 0.775175105500 Henry Cohn, 2024, needs more optimization.
5 199 0.775763545059 Henry Cohn, 2024, needs more optimization.
5 200 0.775819817125 Henry Cohn, 2024, needs more optimization.
5 201 0.776489915931 Henry Cohn, 2024, needs more optimization.
5 202 0.778031694692 Henry Cohn, 2024, needs more optimization.
5 203 0.778189170937 Henry Cohn, 2024, needs more optimization.
5 204 0.778291073852 Henry Cohn, 2024, needs more optimization.
5 205 0.779119542936 Henry Cohn, 2024, needs more optimization.
5 206 0.780197384900 Henry Cohn, 2024, needs more optimization.
5 207 0.780220103863 Henry Cohn, 2024, needs more optimization.
5 208 0.781347179606 Henry Cohn, 2024, needs more optimization.
5 209 0.781412315759 Henry Cohn, 2024, needs more optimization.
5 210 0.782473354455 Henry Cohn, 2024, needs more optimization.
5 211 0.782967740056 Henry Cohn, 2024, needs more optimization.
5 212 0.783038378207 Henry Cohn, 2024, needs more optimization.
5 213 0.783791270600 Henry Cohn, 2024, needs more optimization.
5 214 0.784433201086 Henry Cohn, 2024, needs more optimization.
5 215 0.784462292637 Henry Cohn, 2024, needs more optimization.
5 216 0.785734236790 Henry Cohn, 2024, needs more optimization.
5 217 0.785786857398 Henry Cohn, 2025, needs more optimization.
5 218 0.786047822894 Henry Cohn, 2024, needs more optimization.
5 219 0.787018742874 Henry Cohn, 2024, needs more optimization.
5 220 0.787315038866 Henry Cohn, 2024, needs more optimization.
5 221 0.787583949286 Henry Cohn, 2024, needs more optimization.
5 222 0.788141285485 Henry Cohn, 2024, needs more optimization.
5 223 0.788514294500 Henry Cohn, 2024, needs more optimization.
5 224 0.788925277780 Henry Cohn, 2024, needs more optimization.
5 225 0.789719397278 Henry Cohn, 2024, needs more optimization.
5 226 0.789848064711 Henry Cohn, 2024, needs more optimization.
5 227 0.790572742290 Henry Cohn, 2024, needs more optimization.
5 228 0.790968522452 Henry Cohn, 2024, needs more optimization.
5 229 0.791053547654 Henry Cohn, 2024, needs more optimization.
5 230 0.791825318987 Henry Cohn, 2024, needs more optimization.
5 231 0.792557652397 Henry Cohn, 2024, needs more optimization.
5 232 0.792865034512 Henry Cohn, 2025, needs more optimization.
5 233 0.793037186555 Henry Cohn, 2024, needs more optimization.
5 234 0.793698364139 Henry Cohn, 2024, needs more optimization.
5 235 0.793707865751 Henry Cohn, 2024, needs more optimization.
5 236 0.794259101081 Henry Cohn, 2024, needs more optimization.
5 237 0.794802526357 Henry Cohn, 2024, needs more optimization.
5 238 0.795033139757 Henry Cohn, 2024, needs more optimization.
5 239 0.795586912364 Henry Cohn, 2025, needs more optimization.
5 240 0.796035417113 Henry Cohn, 2024, needs more optimization.
5 241 0.796205116326 Henry Cohn, 2025, needs more optimization.
5 242 0.796945621508 Henry Cohn, 2024, needs more optimization.
5 243 0.797420976879 Henry Cohn, 2024, needs more optimization.
5 244 0.797790381091 Henry Cohn, 2025, needs more optimization.
5 245 0.798016272464 Henry Cohn, 2025, needs more optimization.
5 246 0.798309824113 Henry Cohn, 2024, needs more optimization.
5 247 0.798821700368 Henry Cohn, 2025, needs more optimization.
5 248 0.799378978869 Henry Cohn, 2025, needs more optimization.
5 249 0.799923913903 Henry Cohn, 2024, needs more optimization.
5 250 0.799940951673 Henry Cohn, 2024, needs more optimization.
5 251 0.800777425494 Henry Cohn, 2025, needs more optimization.
5 252 0.801170160271 Henry Cohn, 2024, needs more optimization.
5 253 0.801510085111 Henry Cohn, 2025, needs more optimization.
5 254 0.801790507816 Henry Cohn, 2025, needs more optimization.
5 255 0.801845421736 Henry Cohn, 2025, needs more optimization.
5 256 0.802426986908 Henry Cohn, 2025, needs more optimization.
5 257 0.802633114274 Henry Cohn, 2025, needs more optimization.
5 258 0.802656826349 Henry Cohn, 2025, needs more optimization.
5 259 0.802675225550 Henry Cohn, 2025, needs more optimization.
5 260 0.803424176446 Henry Cohn, 2025, needs more optimization.
5 261 0.803952997414 Henry Cohn, 2025, needs more optimization.
5 262 0.804227576812 Henry Cohn, 2025, needs more optimization.
5 263 0.804463881341 Henry Cohn, 2025, needs more optimization.
5 264 0.804885559725 Henry Cohn, 2025, needs more optimization.
5 265 0.805015987959 Henry Cohn, 2025, needs more optimization.
5 266 0.805070511691 Henry Cohn, 2025, needs more optimization.
5 267 0.805184402431 Henry Cohn, 2025, needs more optimization.
5 268 0.805654316044 Henry Cohn, 2025, needs more optimization.
5 269 0.805694716799 Henry Cohn, 2025, needs more optimization.
5 270 0.806306625662 Henry Cohn, 2025, needs more optimization.
5 271 0.806339331345 Henry Cohn, 2025, needs more optimization.
5 272 0.806492034146 Henry Cohn, 2025, needs more optimization.
5 273 0.806716632244 Henry Cohn, 2025, needs more optimization.
5 275 0.806738837089 Henry Cohn, 2025, needs more optimization.
5 276 0.806765401869 Henry Cohn, 2025, needs more optimization.
5 277 0.807357928023 Henry Cohn, 2025, needs more optimization.
5 278 0.807394593914 Henry Cohn, 2025, needs more optimization.
5 279 0.807409314273 Henry Cohn, 2025, needs more optimization.
5 280 0.807422192956 Henry Cohn, 2025, needs more optimization.
5 281 0.807449562902 Henry Cohn, 2025, needs more optimization.
5 282 0.808028373375 Henry Cohn, 2025, needs more optimization.
5 283 0.808033679925 Henry Cohn, 2025, needs more optimization.
5 284 0.808502441915 Henry Cohn, 2025, needs more optimization.
5 285 0.809222044082 Henry Cohn, 2025, needs more optimization.
5 286 0.809444015346 Henry Cohn, 2025, needs more optimization.
5 287 0.809861904990 Henry Cohn, 2025, needs more optimization.
5 288 0.810475944000 Henry Cohn, 2025, needs more optimization.
5 289 0.810703805138 Henry Cohn, 2025, needs more optimization.
5 290 0.811973911223 Henry Cohn, 2025, needs more optimization.
5 291 0.812038638659 Henry Cohn, 2025, needs more optimization.
5 292 0.813052185043 Henry Cohn, 2025, needs more optimization.
5 293 0.813085532672 Henry Cohn, 2025, needs more optimization.
5 294 0.813513662860 Henry Cohn, 2025, needs more optimization.
5 295 0.813857760929 Henry Cohn, 2025, needs more optimization.
5 296 0.814177540120 Henry Cohn, 2025, needs more optimization.
5 297 0.815288981524 Henry Cohn, 2025, needs more optimization.
5 298 0.815696479218 Henry Cohn, 2025, needs more optimization.
5 299 0.816121074439 Henry Cohn, 2025, needs more optimization.
5 300 0.816515571492 Henry Cohn, 2025, needs more optimization.
5 301 0.816884029652 Henry Cohn, 2025, needs more optimization.
5 302 0.817418055312 Henry Cohn, 2025, needs more optimization.
5 303 0.817678249405 Henry Cohn, 2025, needs more optimization.
5 304 0.818273432166 Henry Cohn, 2025, needs more optimization.
5 305 0.818530915024 Henry Cohn, 2025, needs more optimization.
5 306 0.818847717953 Henry Cohn, 2025, needs more optimization.
5 307 0.819662759302 Henry Cohn, 2025, needs more optimization.
5 308 0.819704042350 Henry Cohn, 2025, needs more optimization.
5 309 0.820136258550 Henry Cohn, 2025, needs more optimization.
5 310 0.820291870315 Henry Cohn, 2025, needs more optimization.
5 311 0.820683934305 Henry Cohn, 2025, needs more optimization.
5 312 0.820907477416 Henry Cohn, 2025, needs more optimization.
5 313 0.821238678583 Henry Cohn, 2025, needs more optimization.
5 314 0.821842718616 Henry Cohn, 2025, needs more optimization.
5 315 0.822166006099 Henry Cohn, 2025, needs more optimization.
5 316 0.822371204677 Henry Cohn, 2025, needs more optimization.
5 317 0.822600119096 Henry Cohn, 2025, needs more optimization.
5 318 0.822851367310 Henry Cohn, 2025, needs more optimization.
5 319 0.823396563005 Henry Cohn, 2025, needs more optimization.
5 321 0.823945293516 Henry Cohn, 2025, needs more optimization.
5 322 0.824228277480 Henry Cohn, 2025, needs more optimization.
5 323 0.824521620521 Henry Cohn, 2025, needs more optimization.
5 324 0.824900750326 Henry Cohn, 2025, needs more optimization.
5 325 0.825138315413 Henry Cohn, 2025, needs more optimization.
5 326 0.825465801700 Henry Cohn, 2025, needs more optimization.
5 327 0.825636610797 Henry Cohn, 2025, needs more optimization.
5 328 0.826104713047 Henry Cohn, 2025, needs more optimization.
5 329 0.826495343874 Henry Cohn, 2025, needs more optimization.
5 330 0.826793160805 Henry Cohn, 2025, needs more optimization.
5 331 0.827213921506 Henry Cohn, 2025, needs more optimization.
5 332 0.827421143115 Henry Cohn, 2025, needs more optimization.
5 333 0.827808973733 Henry Cohn, 2025, needs more optimization.
5 334 0.827990070608 Henry Cohn, 2025, needs more optimization.
5 335 0.828007394521 Henry Cohn, 2025, needs more optimization.
5 336 0.828346715351 Henry Cohn, 2025, needs more optimization.
5 337 0.828519871267 Henry Cohn, 2025, needs more optimization.
5 338 0.828795641624 Henry Cohn, 2025, needs more optimization.
5 339 0.829010303518 Henry Cohn, 2025, needs more optimization.
5 340 0.829152368222 Henry Cohn, 2025, needs more optimization.
5 341 0.829389006235 Henry Cohn, 2025, needs more optimization.
5 342 0.829759927408 Henry Cohn, 2025, needs more optimization.
5 343 0.830215271780 Henry Cohn, 2025, needs more optimization.
5 344 0.830288948112 Henry Cohn, 2025, needs more optimization.
5 345 0.830628709113 Henry Cohn, 2025, needs more optimization.
5 346 0.830743543200 Henry Cohn, 2025, needs more optimization.
5 347 0.831176927270 Henry Cohn, 2025, needs more optimization.
5 348 0.831349170959 Henry Cohn, 2025, needs more optimization.
5 349 0.831555650003 Henry Cohn, 2025, needs more optimization.
5 350 0.831604229403 Henry Cohn, 2025, needs more optimization.
5 351 0.831919598187 Henry Cohn, 2025, needs more optimization.
5 352 0.832260638748 Henry Cohn, 2025, needs more optimization.
5 353 0.832807665869 Henry Cohn, 2025, needs more optimization.
5 354 0.832829434797 Henry Cohn, 2025, needs more optimization.
5 355 0.832957741248 Henry Cohn, 2025, needs more optimization.
5 356 0.833168029541 Henry Cohn, 2025, needs more optimization.
5 357 0.833368449930 Henry Cohn, 2025, needs more optimization.
5 358 0.833452870525 Henry Cohn, 2025, needs more optimization.
5 359 0.833834248500 Henry Cohn, 2025, needs more optimization.
5 360 0.833870834827 Henry Cohn, 2025, needs more optimization.
5 361 0.834182975616 Henry Cohn, 2025, needs more optimization.
5 362 0.834335872910 Henry Cohn, 2025, needs more optimization.
5 363 0.834618950083 Henry Cohn, 2025, needs more optimization.
5 364 0.834837072567 Henry Cohn, 2025, needs more optimization.
5 365 0.835049501126 Henry Cohn, 2025, needs more optimization.
5 367 0.835389435183 Henry Cohn, 2025, needs more optimization.
5 368 0.835712712666 Henry Cohn, 2025, needs more optimization.
5 369 0.835765894972 Henry Cohn, 2025, needs more optimization.
5 370 0.836141982516 Henry Cohn, 2025, needs more optimization.
5 371 0.836473545501 Henry Cohn, 2025, needs more optimization.
5 372 0.836681232463 Henry Cohn, 2025, needs more optimization.
5 373 0.836704158677 Henry Cohn, 2025, needs more optimization.
5 374 0.836999857182 Henry Cohn, 2025, needs more optimization.
5 375 0.837271070757 Henry Cohn, 2025, needs more optimization.
5 376 0.837539201868 Henry Cohn, 2025, needs more optimization.
5 377 0.837708951550 Henry Cohn, 2025, needs more optimization.
5 378 0.838003296452 Henry Cohn, 2025, needs more optimization.
5 379 0.838084519884 Henry Cohn, 2025, needs more optimization.
5 380 0.838327924680 Henry Cohn, 2025, needs more optimization.
5 381 0.838354217251 Henry Cohn, 2025, needs more optimization.
5 382 0.838798152226 Henry Cohn, 2025, needs more optimization.
5 383 0.838881488627 Henry Cohn, 2025, needs more optimization.
5 384 0.839339620040 Henry Cohn, 2025, needs more optimization.
5 385 0.839355829121 Henry Cohn, 2025, needs more optimization.
5 386 0.839624928854 Henry Cohn, 2025, needs more optimization.
5 387 0.839809045756 Henry Cohn, 2025, needs more optimization.
5 388 0.839991024596 Henry Cohn, 2025, needs more optimization.
5 389 0.840517934026 Henry Cohn, 2025, needs more optimization.
5 390 0.840803815311 Henry Cohn, 2025, needs more optimization.
5 391 0.840905077796 Henry Cohn, 2025, needs more optimization.
5 392 0.841039445606 Henry Cohn, 2025, needs more optimization.
5 393 0.841234032091 Henry Cohn, 2025, needs more optimization.
5 395 0.841518430864 Henry Cohn, 2025, needs more optimization.
5 396 0.841723018527 Henry Cohn, 2025, needs more optimization.
5 397 0.841930355926 Henry Cohn, 2025, needs more optimization.
5 398 0.842019642437 Henry Cohn, 2025, needs more optimization.
5 399 0.842351224361 Henry Cohn, 2025, needs more optimization.
5 400 0.842668992751 Henry Cohn, 2025, needs more optimization.
5 401 0.842755099804 Henry Cohn, 2025, needs more optimization.
5 402 0.843050925785 Henry Cohn, 2025, needs more optimization.
5 403 0.843178483011 Henry Cohn, 2025, needs more optimization.
5 404 0.843234055446 Henry Cohn, 2025, needs more optimization.
5 405 0.843596031205 Henry Cohn, 2025, needs more optimization.
5 406 0.843634615469 Henry Cohn, 2025, needs more optimization.
5 407 0.843834979070 Henry Cohn, 2025, needs more optimization.
5 408 0.843905642303 Henry Cohn, 2025, needs more optimization.
5 409 0.843990630575 Henry Cohn, 2025, needs more optimization.
5 410 0.844138429797 Henry Cohn, 2025, needs more optimization.
5 411 0.844508553649 Henry Cohn, 2025, needs more optimization.
5 412 0.844674709808 Henry Cohn, 2025, needs more optimization.
5 413 0.844824973155 Henry Cohn, 2025, needs more optimization.
5 414 0.844870169871 Henry Cohn, 2025, needs more optimization.
5 415 0.845396059797 Henry Cohn, 2025, needs more optimization.
5 416 0.845502920468 Henry Cohn, 2025, needs more optimization.
5 417 0.845632826733 Henry Cohn, 2025, needs more optimization.
5 418 0.845742795995 Henry Cohn, 2025, needs more optimization.
5 419 0.845818752271 Henry Cohn, 2025, needs more optimization.
5 420 0.846001135194 Henry Cohn, 2025, needs more optimization.
5 421 0.846214320611 Henry Cohn, 2025, needs more optimization.
5 422 0.846488117361 Henry Cohn, 2025, needs more optimization.
5 423 0.846740415916 Henry Cohn, 2025, needs more optimization.
5 424 0.846834193117 Henry Cohn, 2025, needs more optimization.
5 425 0.847113673581 Henry Cohn, 2025, needs more optimization.
5 426 0.847141264817 Henry Cohn, 2025, needs more optimization.
5 427 0.847358046344 Henry Cohn, 2025, needs more optimization.
5 428 0.847784046886 Henry Cohn, 2025, needs more optimization.
5 429 0.847872666882 Henry Cohn, 2025, needs more optimization.
5 430 0.848148846253 Henry Cohn, 2025, needs more optimization.
5 431 0.848183859963 Henry Cohn, 2025, needs more optimization.
5 432 0.848428081817 Henry Cohn, 2025, needs more optimization.
5 433 0.848473227014 Henry Cohn, 2025, needs more optimization.
5 434 0.848751757681 Henry Cohn, 2025, needs more optimization.
5 435 0.848935967498 Henry Cohn, 2025, needs more optimization.
5 436 0.849091840672 Henry Cohn, 2025, needs more optimization.
5 437 0.849166823783 Henry Cohn, 2025, needs more optimization.
5 438 0.849457967349 Henry Cohn, 2025, needs more optimization.
5 439 0.849669424071 Henry Cohn, 2025, needs more optimization.
5 440 0.849764216100 Henry Cohn, 2025, needs more optimization.
5 441 0.849907424761 Henry Cohn, 2025, needs more optimization.
5 442 0.850006000359 Henry Cohn, 2025, needs more optimization.
5 443 0.850174598920 Henry Cohn, 2025, needs more optimization.
5 444 0.850591420205 Henry Cohn, 2025, needs more optimization.
5 445 0.850688858705 Henry Cohn, 2025, needs more optimization.
5 446 0.850872880871 Henry Cohn, 2025, needs more optimization.
5 447 0.851046882825 Henry Cohn, 2025, needs more optimization.
5 448 0.851137507471 Henry Cohn, 2025, needs more optimization.
5 449 0.851144183240 Henry Cohn, 2025, needs more optimization.
5 450 0.851519869513 Henry Cohn, 2025, needs more optimization.
5 451 0.851797504621 Henry Cohn, 2025, needs more optimization.
5 452 0.851801627681 Henry Cohn, 2025, needs more optimization.
5 454 0.852180575390 Henry Cohn, 2025, needs more optimization.
5 455 0.852341163367 Henry Cohn, 2025, needs more optimization.
5 456 0.852522690880 Henry Cohn, 2025, needs more optimization.
5 457 0.852749067895 Henry Cohn, 2025, needs more optimization.
5 458 0.852757857919 Henry Cohn, 2025, needs more optimization.
5 459 0.852826856185 Henry Cohn, 2025, needs more optimization.
5 460 0.853098187558 Henry Cohn, 2025, needs more optimization.
5 461 0.853284660614 Henry Cohn, 2025, needs more optimization.
5 462 0.853615408959 Henry Cohn, 2025, needs more optimization.
5 463 0.853616344570 Henry Cohn, 2025, needs more optimization.
5 464 0.853700519056 Henry Cohn, 2025, needs more optimization.
5 465 0.853910231679 Henry Cohn, 2025, needs more optimization.
5 466 0.854125175508 Henry Cohn, 2025, needs more optimization.
5 467 0.854126972989 Henry Cohn, 2025, needs more optimization.
5 468 0.854465241932 Henry Cohn, 2025, needs more optimization.
5 469 0.854482179967 Henry Cohn, 2025, needs more optimization.
5 470 0.854683349001 Henry Cohn, 2025, needs more optimization.
5 471 0.854799149705 Henry Cohn, 2025, needs more optimization.
5 472 0.854963819384 Henry Cohn, 2025, needs more optimization.
5 473 0.855271668132 Henry Cohn, 2025, needs more optimization.
5 474 0.855276101085 Henry Cohn, 2025, needs more optimization.
5 475 0.855315364840 Henry Cohn, 2025, needs more optimization.
5 476 0.855490648588 Henry Cohn, 2025, needs more optimization.
5 477 0.855695759041 Henry Cohn, 2025, needs more optimization.
5 478 0.855842415429 Henry Cohn, 2025, needs more optimization.
5 479 0.856360159796 Henry Cohn, 2025, needs more optimization.
5 480 0.856441944815 Henry Cohn, 2025, needs more optimization.
5 481 0.856446043130 Henry Cohn, 2025, needs more optimization.
5 482 0.856479136994 Henry Cohn, 2025, needs more optimization.
5 483 0.856712971651 Henry Cohn, 2025, needs more optimization.
5 484 0.856722994352 Henry Cohn, 2025, needs more optimization.
5 485 0.856820007940 Henry Cohn, 2025, needs more optimization.
5 486 0.857094821423 Henry Cohn, 2025, needs more optimization.
5 487 0.857117989588 Henry Cohn, 2025, needs more optimization.
5 488 0.857287179940 Henry Cohn, 2025, needs more optimization.
5 489 0.857435857392 Henry Cohn, 2025, needs more optimization.
5 490 0.857565211369 Henry Cohn, 2025, needs more optimization.
5 491 0.857620435328 Henry Cohn, 2025, needs more optimization.
5 492 0.857846614823 Henry Cohn, 2025, needs more optimization.
5 493 0.857889108790 Henry Cohn, 2025, needs more optimization.
5 494 0.857985545441 Henry Cohn, 2025, needs more optimization.
5 495 0.858367120376 Henry Cohn, 2025, needs more optimization.
5 496 0.858507150778 Henry Cohn, 2025, needs more optimization.
5 497 0.858685307857 Henry Cohn, 2025, needs more optimization.
5 498 0.858833192245 Henry Cohn, 2025, needs more optimization.
5 499 0.858947767195 Henry Cohn, 2025, needs more optimization.
5 500 0.859136977171 Henry Cohn, 2025, needs more optimization.
5 501 0.859512033864 Henry Cohn, 2025, needs more optimization.
5 502 0.859556751871 Henry Cohn, 2025, needs more optimization.
5 503 0.859590934115 Henry Cohn, 2025, needs more optimization.
5 504 0.859702977288 Henry Cohn, 2025, needs more optimization.
5 505 0.859778505009 Henry Cohn, 2025, needs more optimization.
5 506 0.859876844867 Henry Cohn, 2025, needs more optimization.
5 507 0.860055959993 Henry Cohn, 2025, needs more optimization.
5 508 0.860268298078 Henry Cohn, 2025, needs more optimization.
5 509 0.860322505942 Henry Cohn, 2025, needs more optimization.
5 510 0.860628775031 Henry Cohn, 2025, needs more optimization.
5 511 0.860697231201 Henry Cohn, 2025, needs more optimization.
5 512 0.860725260477 Henry Cohn, 2025, needs more optimization.
5 513 0.860800423813 Henry Cohn, 2025, needs more optimization.
5 514 0.861147060862 Henry Cohn, 2025, needs more optimization.
5 515 0.861148937374 Henry Cohn, 2025, needs more optimization.
5 516 0.861368957008 Henry Cohn, 2025, needs more optimization.
5 517 0.861388957301 Henry Cohn, 2025, needs more optimization.
5 518 0.861543720608 Henry Cohn, 2025, needs more optimization.
5 520 0.861751316619 Henry Cohn, 2025, needs more optimization.
5 521 0.861795267361 Henry Cohn, 2025, needs more optimization.
5 522 0.862091307594 Henry Cohn, 2025, needs more optimization.
5 523 0.862318412803 Henry Cohn, 2025, needs more optimization.
5 524 0.862467762930 Henry Cohn, 2025, needs more optimization.
5 525 0.862470664059 Henry Cohn, 2025, needs more optimization.
5 526 0.862683702407 Henry Cohn, 2025, needs more optimization.
5 527 0.862710161220 Henry Cohn, 2025, needs more optimization.
5 528 0.862886482763 Henry Cohn, 2025, needs more optimization.
5 529 0.863035952578 Henry Cohn, 2025, needs more optimization.
5 530 0.863105100599 Henry Cohn, 2025, needs more optimization.
5 531 0.863240337579 Henry Cohn, 2025, needs more optimization.
5 532 0.863464916516 Henry Cohn, 2025, needs more optimization.
5 533 0.863618537417 Henry Cohn, 2025, needs more optimization.
5 534 0.863843381931 Henry Cohn, 2025, needs more optimization.
5 535 0.863880240397 Henry Cohn, 2025, needs more optimization.
5 536 0.863923777463 Henry Cohn, 2025, needs more optimization.
5 537 0.864152714533 Henry Cohn, 2025, needs more optimization.
5 538 0.864154701351 Henry Cohn, 2025, needs more optimization.
5 540 0.864395058631 Henry Cohn, 2025, needs more optimization.
5 542 0.864745296806 Henry Cohn, 2025, needs more optimization.
5 543 0.864969987011 Henry Cohn, 2025, needs more optimization.
5 544 0.864997867521 Henry Cohn, 2025, needs more optimization.
5 545 0.865069847868 Henry Cohn, 2025, needs more optimization.
5 546 0.865283330417 Henry Cohn, 2025, needs more optimization.
5 547 0.865438169125 Henry Cohn, 2025, needs more optimization.
5 548 0.865439820225 Henry Cohn, 2025, needs more optimization.
5 549 0.865712585376 Henry Cohn, 2025, needs more optimization.
5 550 0.865827136781 Henry Cohn, 2025, needs more optimization.
5 551 0.865843163170 Henry Cohn, 2025, needs more optimization.
5 552 0.865879307122 Henry Cohn, 2025, needs more optimization.
5 553 0.866159324412 Henry Cohn, 2025, needs more optimization.
5 554 0.866200338542 Henry Cohn, 2025, needs more optimization.
5 555 0.866352525315 Henry Cohn, 2025, needs more optimization.
5 556 0.866362800622 Henry Cohn, 2025, needs more optimization.
5 557 0.866761505172 Henry Cohn, 2025, needs more optimization.
5 558 0.866872959031 Henry Cohn, 2025, needs more optimization.
5 559 0.866900685443 Henry Cohn, 2025, needs more optimization.
5 560 0.867099425536 Henry Cohn, 2025, needs more optimization.
5 561 0.867325322385 Henry Cohn, 2025, needs more optimization.
5 562 0.867343447361 Henry Cohn, 2025, needs more optimization.
5 563 0.867436150282 Henry Cohn, 2025, needs more optimization.
5 564 0.867449107544 Henry Cohn, 2025, needs more optimization.
5 565 0.867452395939 Henry Cohn, 2025, needs more optimization.
5 566 0.867653917205 Henry Cohn, 2025, needs more optimization.
5 567 0.867785331187 Henry Cohn, 2025, needs more optimization.
5 568 0.867887760645 Henry Cohn, 2025, needs more optimization.
5 569 0.868077290034 Henry Cohn, 2025, needs more optimization.
5 570 0.868216680382 Henry Cohn, 2025, needs more optimization.
5 572 0.868452144330 Henry Cohn, 2025, needs more optimization.
5 573 0.868654373375 Henry Cohn, 2025, needs more optimization.
5 574 0.868673755205 Henry Cohn, 2025, needs more optimization.
5 575 0.868680191583 Henry Cohn, 2025, needs more optimization.
5 577 0.868935335122 Henry Cohn, 2025, needs more optimization.
5 578 0.868981819142 Henry Cohn, 2025, needs more optimization.
5 579 0.869157506549 Henry Cohn, 2025, needs more optimization.
5 580 0.869347784620 Henry Cohn, 2025, needs more optimization.
5 581 0.869470893775 Henry Cohn, 2025, needs more optimization.
5 582 0.869569569795 Henry Cohn, 2025, needs more optimization.
5 583 0.869753161535 Henry Cohn, 2025, needs more optimization.
5 584 0.869924086395 Henry Cohn, 2025, needs more optimization.
5 585 0.869930199320 Henry Cohn, 2025, needs more optimization.
5 586 0.870175585547 Henry Cohn, 2025, needs more optimization.
5 587 0.870179294621 Henry Cohn, 2025, needs more optimization.
5 588 0.870190985205 Henry Cohn, 2025, needs more optimization.
5 589 0.870249803628 Henry Cohn, 2025, needs more optimization.
5 590 0.870385377115 Henry Cohn, 2025, needs more optimization.
5 591 0.870414929971 Henry Cohn, 2025, needs more optimization.
5 592 0.870655931972 Henry Cohn, 2025, needs more optimization.
5 593 0.870694706909 Henry Cohn, 2025, needs more optimization.
5 594 0.870811676463 Henry Cohn, 2025, needs more optimization.
5 595 0.871066955540 Henry Cohn, 2025, needs more optimization.
5 596 0.871089090264 Henry Cohn, 2025, needs more optimization.
5 597 0.871105033160 Henry Cohn, 2025, needs more optimization.
5 598 0.871326407700 Henry Cohn, 2025, needs more optimization.
5 599 0.871333529503 Henry Cohn, 2025, needs more optimization.
5 600 0.871409120941 Henry Cohn, 2025, needs more optimization.
5 601 0.871605617748 Henry Cohn, 2025, needs more optimization.
5 602 0.871608696090 Henry Cohn, 2025, needs more optimization.
5 603 0.871667378747 Henry Cohn, 2025, needs more optimization.
5 604 0.871806737795 Henry Cohn, 2025, needs more optimization.
5 605 0.871824322660 Henry Cohn, 2025, needs more optimization.
5 606 0.871904216581 Henry Cohn, 2025, needs more optimization.
5 607 0.872084386222 Henry Cohn, 2025, needs more optimization.
5 608 0.872086451385 Henry Cohn, 2025, needs more optimization.
5 609 0.872517881216 Henry Cohn, 2025, needs more optimization.
5 610 0.872521735819 Henry Cohn, 2025, needs more optimization.
5 611 0.872670113057 Henry Cohn, 2025, needs more optimization.
5 612 0.872702409541 Henry Cohn, 2025, needs more optimization.
5 614 0.872899623368 Henry Cohn, 2025, needs more optimization.
5 615 0.873090713168 Henry Cohn, 2025, needs more optimization.
5 616 0.873104904065 Henry Cohn, 2025, needs more optimization.
5 617 0.873301059105 Henry Cohn, 2025, needs more optimization.
5 618 0.873380978365 Henry Cohn, 2025, needs more optimization.
5 619 0.873494611572 Henry Cohn, 2025, needs more optimization.
5 620 0.873610683858 Henry Cohn, 2025, needs more optimization.
5 621 0.873622039759 Henry Cohn, 2025, needs more optimization.
5 622 0.873753446890 Henry Cohn, 2025, needs more optimization.
5 623 0.873905770256 Henry Cohn, 2025, needs more optimization.
5 624 0.873984776909 Henry Cohn, 2025, needs more optimization.
5 625 0.874129164711 Henry Cohn, 2025, needs more optimization.
5 626 0.874138805817 Henry Cohn, 2025, needs more optimization.
5 627 0.874162709567 Henry Cohn, 2025, needs more optimization.
5 628 0.874363388934 Henry Cohn, 2025, needs more optimization.
5 629 0.874485297919 Henry Cohn, 2025, needs more optimization.
5 630 0.874703509407 Henry Cohn, 2025, needs more optimization.
5 631 0.874836977314 Henry Cohn, 2025, needs more optimization.
5 632 0.874969679052 Henry Cohn, 2025, needs more optimization.
5 633 0.874969891394 Henry Cohn, 2025, needs more optimization.
5 634 0.874988655449 Henry Cohn, 2025, needs more optimization.
5 635 0.875123303054 Henry Cohn, 2025, needs more optimization.
5 636 0.875300468091 Henry Cohn, 2025, needs more optimization.
5 637 0.875308037986 Henry Cohn, 2025, needs more optimization.
5 638 0.875387823448 Henry Cohn, 2025, needs more optimization.
5 639 0.875463236969 Henry Cohn, 2025, needs more optimization.
5 640 0.875645248790 Henry Cohn, 2025, needs more optimization.
5 641 0.875645815092 Henry Cohn, 2025, needs more optimization.
5 642 0.875664298640 Henry Cohn, 2025, needs more optimization.
5 643 0.875835676045 Henry Cohn, 2025, needs more optimization.
5 644 0.876032061315 Henry Cohn, 2025, needs more optimization.
5 645 0.876122655422 Henry Cohn, 2025, needs more optimization.
5 646 0.876190246508 Henry Cohn, 2025, needs more optimization.
5 647 0.876318899291 Henry Cohn, 2025, needs more optimization.
5 648 0.876321229584 Henry Cohn, 2025, needs more optimization.
5 649 0.876513175464 Henry Cohn, 2025, needs more optimization.
5 650 0.876534189853 Henry Cohn, 2025, needs more optimization.
5 651 0.876644671413 Henry Cohn, 2025, needs more optimization.
5 652 0.876649196799 Henry Cohn, 2025, needs more optimization.
5 653 0.876891012640 Henry Cohn, 2025, needs more optimization.
5 654 0.877000319265 Henry Cohn, 2025, needs more optimization.
5 655 0.877194944627 Henry Cohn, 2025, needs more optimization.
5 656 0.877257024673 Henry Cohn, 2025, needs more optimization.
5 657 0.877335186750 Henry Cohn, 2025, needs more optimization.
5 659 0.877422215326 Henry Cohn, 2025, needs more optimization.
5 660 0.877465297915 Henry Cohn, 2025, needs more optimization.
5 661 0.877492961756 Henry Cohn, 2025, needs more optimization.
5 662 0.877622878303 Henry Cohn, 2025, needs more optimization.
5 663 0.877665604940 Henry Cohn, 2025, needs more optimization.
5 664 0.877808986150 Henry Cohn, 2025, needs more optimization.
5 665 0.877818204583 Henry Cohn, 2025, needs more optimization.
5 666 0.877882963051 Henry Cohn, 2025, needs more optimization.
5 667 0.878015154801 Henry Cohn, 2025, needs more optimization.
5 668 0.878126808697 Henry Cohn, 2025, needs more optimization.
5 669 0.878261003214 Henry Cohn, 2025, needs more optimization.
5 670 0.878394096821 Henry Cohn, 2025, needs more optimization.
5 671 0.878397378714 Henry Cohn, 2025, needs more optimization.
5 672 0.878565681145 Henry Cohn, 2025, needs more optimization.
5 673 0.878568357345 Henry Cohn, 2025, needs more optimization.
5 674 0.878677355021 Henry Cohn, 2025, needs more optimization.
5 675 0.878691452671 Henry Cohn, 2025, needs more optimization.
5 676 0.878895335529 Henry Cohn, 2025, needs more optimization.
5 677 0.879051486571 Henry Cohn, 2025, needs more optimization.
5 678 0.879056198237 Henry Cohn, 2025, needs more optimization.
5 680 0.879254843264 Henry Cohn, 2025, needs more optimization.
5 681 0.879266797921 Henry Cohn, 2025, needs more optimization.
5 682 0.879421121026 Henry Cohn, 2025, needs more optimization.
5 683 0.879422088546 Henry Cohn, 2025, needs more optimization.
5 685 0.879604768234 Henry Cohn, 2025, needs more optimization.
5 686 0.879615298504 Henry Cohn, 2025, needs more optimization.
5 687 0.879927224792 Henry Cohn, 2025, needs more optimization.
5 688 0.879940879306 Henry Cohn, 2025, needs more optimization.
5 689 0.880050272700 Henry Cohn, 2025, needs more optimization.
5 690 0.880085177933 Henry Cohn, 2025, needs more optimization.
5 691 0.880186913631 Henry Cohn, 2025, needs more optimization.
5 692 0.880346538274 Henry Cohn, 2025, needs more optimization.
5 693 0.880347183009 Henry Cohn, 2025, needs more optimization.
5 694 0.880440443447 Henry Cohn, 2025, needs more optimization.
5 695 0.880560210580 Henry Cohn, 2025, needs more optimization.
5 696 0.880573318616 Henry Cohn, 2025, needs more optimization.
5 697 0.880726174663 Henry Cohn, 2025, needs more optimization.
5 698 0.880751565550 Henry Cohn, 2025, needs more optimization.
5 699 0.880831552541 Henry Cohn, 2025, needs more optimization.
5 700 0.880842311625 Henry Cohn, 2025, needs more optimization.
5 701 0.881074617439 Henry Cohn, 2025, needs more optimization.
5 702 0.881076680431 Henry Cohn, 2025, needs more optimization.
5 703 0.881078906315 Henry Cohn, 2025, needs more optimization.
5 704 0.881261940557 Henry Cohn, 2025, needs more optimization.
5 705 0.881266162475 Henry Cohn, 2025, needs more optimization.
5 706 0.881503343292 Henry Cohn, 2025, needs more optimization.
5 707 0.881504478023 Henry Cohn, 2025, needs more optimization.
5 708 0.881614351063 Henry Cohn, 2025, needs more optimization.
5 709 0.881738690129 Henry Cohn, 2025, needs more optimization.
5 710 0.881746195595 Henry Cohn, 2025, needs more optimization.
5 711 0.881850335459 Henry Cohn, 2025, needs more optimization.
5 712 0.881973825633 Henry Cohn, 2025, needs more optimization.
5 713 0.882012668941 Henry Cohn, 2025, needs more optimization.
5 714 0.882161638275 Henry Cohn, 2025, needs more optimization.
5 715 0.882185594849 Henry Cohn, 2025, needs more optimization.
5 716 0.882321680698 Henry Cohn, 2025, needs more optimization.
5 717 0.882324283784 Henry Cohn, 2025, needs more optimization.
5 718 0.882451030584 Henry Cohn, 2025, needs more optimization.
5 719 0.882454764233 Henry Cohn, 2025, needs more optimization.
5 720 0.882580516189 Henry Cohn, 2025, needs more optimization.
5 721 0.882850229503 Henry Cohn, 2025, needs more optimization.
5 722 0.882853265042 Henry Cohn, 2025, needs more optimization.
5 723 0.882955687290 Henry Cohn, 2025, needs more optimization.
5 724 0.882980960534 Henry Cohn, 2025, needs more optimization.
5 725 0.882981103149 Henry Cohn, 2025, needs more optimization.
5 726 0.883124715673 Henry Cohn, 2025, needs more optimization.
5 727 0.883131612758 Henry Cohn, 2025, needs more optimization.
5 728 0.883300088088 Henry Cohn, 2025, needs more optimization.
5 729 0.883327308778 Henry Cohn, 2025, needs more optimization.
5 730 0.883443291751 Henry Cohn, 2025, needs more optimization.
5 732 0.883524699608 Henry Cohn, 2025, needs more optimization.
5 733 0.883673967839 Henry Cohn, 2025, needs more optimization.
5 734 0.883712670984 Henry Cohn, 2025, needs more optimization.
5 735 0.883863090173 Henry Cohn, 2025, needs more optimization.
5 737 0.883899759689 Henry Cohn, 2025, needs more optimization.
5 738 0.883986347823 Henry Cohn, 2025, needs more optimization.
5 739 0.884167589206 Henry Cohn, 2025, needs more optimization.
5 740 0.884198443682 Henry Cohn, 2025, needs more optimization.
5 741 0.884321599577 Henry Cohn, 2025, needs more optimization.
5 742 0.884403606439 Henry Cohn, 2025, needs more optimization.
5 743 0.884526608919 Henry Cohn, 2025, needs more optimization.
5 744 0.884644467657 Henry Cohn, 2025, needs more optimization.
5 745 0.884681991706 Henry Cohn, 2025, needs more optimization.
5 746 0.884796361056 Henry Cohn, 2025, needs more optimization.
5 747 0.884903075377 Henry Cohn, 2025, needs more optimization.
5 748 0.885005159387 Henry Cohn, 2025, needs more optimization.
5 749 0.885008913590 Henry Cohn, 2025, needs more optimization.
5 750 0.885067837931 Henry Cohn, 2025, needs more optimization.
5 751 0.885133168731 Henry Cohn, 2025, needs more optimization.
5 752 0.885244724931 Henry Cohn, 2025, needs more optimization.
5 753 0.885248394092 Henry Cohn, 2025, needs more optimization.
5 754 0.885355810051 Henry Cohn, 2025, needs more optimization.
5 755 0.885389819977 Henry Cohn, 2025, needs more optimization.
5 756 0.885512877897 Henry Cohn, 2025, needs more optimization.
5 757 0.885576627751 Henry Cohn, 2025, needs more optimization.
5 758 0.885619979147 Henry Cohn, 2025, needs more optimization.
5 759 0.885788496516 Henry Cohn, 2025, needs more optimization.
5 760 0.885791735831 Henry Cohn, 2025, needs more optimization.
5 761 0.885915712593 Henry Cohn, 2025, needs more optimization.
5 762 0.885947686981 Henry Cohn, 2025, needs more optimization.
5 763 0.886059845117 Henry Cohn, 2025, needs more optimization.
5 764 0.886070589044 Henry Cohn, 2025, needs more optimization.
5 765 0.886195389172 Henry Cohn, 2025, needs more optimization.
5 766 0.886239507362 Henry Cohn, 2025, needs more optimization.
5 767 0.886286097191 Henry Cohn, 2025, needs more optimization.
5 768 0.886314452883 Henry Cohn, 2025, needs more optimization.
5 769 0.886333828851 Henry Cohn, 2025, needs more optimization.
5 771 0.886566932341 Henry Cohn, 2025, needs more optimization.
5 772 0.886582154895 Henry Cohn, 2025, needs more optimization.
5 773 0.886811509004 Henry Cohn, 2025, needs more optimization.
5 774 0.886820690445 Henry Cohn, 2025, needs more optimization.
5 775 0.886857339438 Henry Cohn, 2025, needs more optimization.
5 776 0.886984181085 Henry Cohn, 2025, needs more optimization.
5 777 0.886986115500 Henry Cohn, 2025, needs more optimization.
5 778 0.887166152141 Henry Cohn, 2025, needs more optimization.
5 779 0.887173485788 Henry Cohn, 2025, needs more optimization.
5 780 0.887284955994 Henry Cohn, 2025, needs more optimization.
5 781 0.887293796555 Henry Cohn, 2025, needs more optimization.
5 782 0.887328810543 Henry Cohn, 2025, needs more optimization.
5 783 0.887387524380 Henry Cohn, 2025, needs more optimization.
5 784 0.887487281097 Henry Cohn, 2025, needs more optimization.
5 785 0.887487426156 Henry Cohn, 2025, needs more optimization.
5 786 0.887548227422 Henry Cohn, 2025, needs more optimization.
5 788 0.887728558090 Henry Cohn, 2025, needs more optimization.
5 789 0.887826487288 Henry Cohn, 2025, needs more optimization.
5 790 0.887929616199 Henry Cohn, 2025, needs more optimization.
5 791 0.887936822195 Henry Cohn, 2025, needs more optimization.
5 792 0.888006767420 Henry Cohn, 2025, needs more optimization.
5 793 0.888116581586 Henry Cohn, 2025, needs more optimization.
5 794 0.888135535719 Henry Cohn, 2025, needs more optimization.
5 795 0.888225991466 Henry Cohn, 2025, needs more optimization.
5 796 0.888242187917 Henry Cohn, 2025, needs more optimization.
5 797 0.888445319206 Henry Cohn, 2025, needs more optimization.
5 798 0.888463760033 Henry Cohn, 2025, needs more optimization.
5 799 0.888486462856 Henry Cohn, 2025, needs more optimization.
5 800 0.888533591361 Henry Cohn, 2025, needs more optimization.
5 801 0.888651958404 Henry Cohn, 2025, needs more optimization.
5 802 0.888655481864 Henry Cohn, 2025, needs more optimization.
5 803 0.888896550093 Henry Cohn, 2025, needs more optimization.
5 804 0.888906034631 Henry Cohn, 2025, needs more optimization.
5 805 0.888949586969 Henry Cohn, 2025, needs more optimization.
5 806 0.888961995804 Henry Cohn, 2025, needs more optimization.
5 807 0.889157983995 Henry Cohn, 2025, needs more optimization.
5 808 0.889238130418 Henry Cohn, 2025, needs more optimization.
5 809 0.889293843886 Henry Cohn, 2025, needs more optimization.
5 810 0.889369100232 Henry Cohn, 2025, needs more optimization.
5 811 0.889452786319 Henry Cohn, 2025, needs more optimization.
5 812 0.889468670790 Henry Cohn, 2025, needs more optimization.
5 813 0.889601237234 Henry Cohn, 2025, needs more optimization.
5 814 0.889708667362 Henry Cohn, 2025, needs more optimization.
5 815 0.889711680099 Henry Cohn, 2025, needs more optimization.
5 816 0.889737856883 Henry Cohn, 2025, needs more optimization.
5 817 0.889771290214 Henry Cohn, 2025, needs more optimization.
5 818 0.889883266030 Henry Cohn, 2025, needs more optimization.
5 819 0.889885890089 Henry Cohn, 2025, needs more optimization.
5 820 0.889897328152 Henry Cohn, 2025, needs more optimization.
5 821 0.890134007465 Henry Cohn, 2025, needs more optimization.
5 822 0.890134906615 Henry Cohn, 2025, needs more optimization.
5 823 0.890285307138 Henry Cohn, 2025, needs more optimization.
5 824 0.890288689649 Henry Cohn, 2025, needs more optimization.
5 825 0.890421755459 Henry Cohn, 2025, needs more optimization.
5 826 0.890422823706 Henry Cohn, 2025, needs more optimization.
5 827 0.890443189481 Henry Cohn, 2025, needs more optimization.
5 828 0.890566354381 Henry Cohn, 2025, needs more optimization.
5 829 0.890617714667 Henry Cohn, 2025, needs more optimization.
5 830 0.890715874385 Henry Cohn, 2025, needs more optimization.
5 831 0.890732065260 Henry Cohn, 2025, needs more optimization.
5 832 0.890760684483 Henry Cohn, 2025, needs more optimization.
5 833 0.890775695838 Henry Cohn, 2025, needs more optimization.
5 834 0.890801076780 Henry Cohn, 2025, needs more optimization.
5 835 0.891034345946 Henry Cohn, 2025, needs more optimization.
5 836 0.891039364864 Henry Cohn, 2025, needs more optimization.
5 837 0.891260899176 Henry Cohn, 2025, needs more optimization.
5 838 0.891262771110 Henry Cohn, 2025, needs more optimization.
5 839 0.891295870406 Henry Cohn, 2025, needs more optimization.
5 840 0.891308751585 Henry Cohn, 2025, needs more optimization.
5 841 0.891426470359 Henry Cohn, 2025, needs more optimization.
5 842 0.891453340278 Henry Cohn, 2025, needs more optimization.
5 843 0.891567129823 Henry Cohn, 2025, needs more optimization.
5 844 0.891569946426 Henry Cohn, 2025, needs more optimization.
5 845 0.891706512207 Henry Cohn, 2025, needs more optimization.
5 846 0.891721668874 Henry Cohn, 2025, needs more optimization.
5 847 0.891744709015 Henry Cohn, 2025, needs more optimization.
5 848 0.891881169938 Henry Cohn, 2025, needs more optimization.
5 849 0.891893926884 Henry Cohn, 2025, needs more optimization.
5 850 0.891965028534 Henry Cohn, 2025, needs more optimization.
5 851 0.891972040917 Henry Cohn, 2025, needs more optimization.
5 852 0.892114758060 Henry Cohn, 2025, needs more optimization.
5 853 0.892116266712 Henry Cohn, 2025, needs more optimization.
5 854 0.892208187773 Henry Cohn, 2025, needs more optimization.
5 855 0.892312453139 Henry Cohn, 2025, needs more optimization.
5 856 0.892368947769 Henry Cohn, 2025, needs more optimization.
5 857 0.892374108700 Henry Cohn, 2025, needs more optimization.
5 858 0.892449106722 Henry Cohn, 2025, needs more optimization.
5 860 0.892630259283 Henry Cohn, 2025, needs more optimization.
5 861 0.892631801450 Henry Cohn, 2025, needs more optimization.
5 862 0.892636630150 Henry Cohn, 2025, needs more optimization.
5 863 0.892802953508 Henry Cohn, 2025, needs more optimization.
5 864 0.892815656019 Henry Cohn, 2025, needs more optimization.
5 865 0.892909778048 Henry Cohn, 2025, needs more optimization.
5 866 0.892947410984 Henry Cohn, 2025, needs more optimization.
5 867 0.893069164751 Henry Cohn, 2025, needs more optimization.
5 868 0.893092115983 Henry Cohn, 2025, needs more optimization.
5 869 0.893094577443 Henry Cohn, 2025, needs more optimization.
5 870 0.893270400873 Henry Cohn, 2025, needs more optimization.
5 871 0.893285775424 Henry Cohn, 2025, needs more optimization.
5 872 0.893353497021 Henry Cohn, 2025, needs more optimization.
5 873 0.893401125154 Henry Cohn, 2025, needs more optimization.
5 874 0.893406275255 Henry Cohn, 2025, needs more optimization.
5 875 0.893537811146 Henry Cohn, 2025, needs more optimization.
5 876 0.893552053116 Henry Cohn, 2025, needs more optimization.
5 877 0.893675348805 Henry Cohn, 2025, needs more optimization.
5 878 0.893685002636 Henry Cohn, 2025, needs more optimization.
5 879 0.893830168591 Henry Cohn, 2025, needs more optimization.
5 880 0.893831729413 Henry Cohn, 2025, needs more optimization.
5 881 0.893865663145 Henry Cohn, 2025, needs more optimization.
5 882 0.893874021083 Henry Cohn, 2025, needs more optimization.
5 883 0.893951538397 Henry Cohn, 2025, needs more optimization.
5 884 0.894089862035 Henry Cohn, 2025, needs more optimization.
5 885 0.894104455283 Henry Cohn, 2025, needs more optimization.
5 886 0.894274102485 Henry Cohn, 2025, needs more optimization.
5 887 0.894277306143 Henry Cohn, 2025, needs more optimization.
5 888 0.894378037759 Henry Cohn, 2025, needs more optimization.
5 889 0.894397153171 Henry Cohn, 2025, needs more optimization.
5 891 0.894532550295 Henry Cohn, 2025, needs more optimization.
5 892 0.894552592210 Henry Cohn, 2025, needs more optimization.
5 893 0.894620493080 Henry Cohn, 2025, needs more optimization.
5 894 0.894666957215 Henry Cohn, 2025, needs more optimization.
5 895 0.894667517151 Henry Cohn, 2025, needs more optimization.
5 896 0.894750896742 Henry Cohn, 2025, needs more optimization.
5 897 0.894842856426 Henry Cohn, 2025, needs more optimization.
5 898 0.894846858109 Henry Cohn, 2025, needs more optimization.
5 899 0.894961728514 Henry Cohn, 2025, needs more optimization.
5 900 0.894968532897 Henry Cohn, 2025, needs more optimization.
5 902 0.895056901178 Henry Cohn, 2025, needs more optimization.
5 903 0.895266108241 Henry Cohn, 2025, needs more optimization.
5 904 0.895275689100 Henry Cohn, 2025, needs more optimization.
5 905 0.895302564593 Henry Cohn, 2025, needs more optimization.
5 906 0.895399183332 Henry Cohn, 2025, needs more optimization.
5 907 0.895399926139 Henry Cohn, 2025, needs more optimization.
5 908 0.895488250075 Henry Cohn, 2025, needs more optimization.
5 909 0.895529684165 Henry Cohn, 2025, needs more optimization.
5 910 0.895643993781 Henry Cohn, 2025, needs more optimization.
5 911 0.895721546892 Henry Cohn, 2025, needs more optimization.
5 912 0.895723313982 Henry Cohn, 2025, needs more optimization.
5 913 0.895832820513 Henry Cohn, 2025, needs more optimization.
5 914 0.895867406886 Henry Cohn, 2025, needs more optimization.
5 915 0.895867866794 Henry Cohn, 2025, needs more optimization.
5 916 0.896009141590 Henry Cohn, 2025, needs more optimization.
5 917 0.896011412623 Henry Cohn, 2025, needs more optimization.
5 918 0.896132335308 Henry Cohn, 2025, needs more optimization.
5 919 0.896157599104 Henry Cohn, 2025, needs more optimization.
5 920 0.896280814311 Henry Cohn, 2025, needs more optimization.
5 921 0.896298563295 Henry Cohn, 2025, needs more optimization.
5 922 0.896300489015 Henry Cohn, 2025, needs more optimization.
5 923 0.896387680128 Henry Cohn, 2025, needs more optimization.
5 924 0.896389442471 Henry Cohn, 2025, needs more optimization.
5 925 0.896531094871 Henry Cohn, 2025, needs more optimization.
5 926 0.896547551603 Henry Cohn, 2025, needs more optimization.
5 927 0.896568799132 Henry Cohn, 2025, needs more optimization.
5 928 0.896571715038 Henry Cohn, 2025, needs more optimization.
5 929 0.896664763022 Henry Cohn, 2025, needs more optimization.
5 930 0.896786037749 Henry Cohn, 2025, needs more optimization.
5 931 0.896787003560 Henry Cohn, 2025, needs more optimization.
5 932 0.896902417863 Henry Cohn, 2025, needs more optimization.
5 933 0.896903780677 Henry Cohn, 2025, needs more optimization.
5 934 0.897007190727 Henry Cohn, 2025, needs more optimization.
5 935 0.897007731039 Henry Cohn, 2025, needs more optimization.
5 936 0.897057414748 Henry Cohn, 2025, needs more optimization.
5 937 0.897157934409 Henry Cohn, 2025, needs more optimization.
5 938 0.897159993258 Henry Cohn, 2025, needs more optimization.
5 939 0.897264928383 Henry Cohn, 2025, needs more optimization.
5 940 0.897312968079 Henry Cohn, 2025, needs more optimization.
5 941 0.897425894777 Henry Cohn, 2025, needs more optimization.
5 942 0.897429445726 Henry Cohn, 2025, needs more optimization.
5 943 0.897435822418 Henry Cohn, 2025, needs more optimization.
5 944 0.897516595261 Henry Cohn, 2025, needs more optimization.
5 945 0.897681540692 Henry Cohn, 2025, needs more optimization.
5 946 0.897715672570 Henry Cohn, 2025, needs more optimization.
5 947 0.897805042529 Henry Cohn, 2025, needs more optimization.
5 948 0.897807492828 Henry Cohn, 2025, needs more optimization.
5 949 0.897828002885 Henry Cohn, 2025, needs more optimization.
5 950 0.897932280290 Henry Cohn, 2025, needs more optimization.
5 952 0.897964511412 Henry Cohn, 2025, needs more optimization.
5 953 0.898028263752 Henry Cohn, 2025, needs more optimization.
5 954 0.898043026347 Henry Cohn, 2025, needs more optimization.
5 955 0.898064550461 Henry Cohn, 2025, needs more optimization.
5 956 0.898075128638 Henry Cohn, 2025, needs more optimization.
5 957 0.898241407327 Henry Cohn, 2025, needs more optimization.
5 958 0.898250870216 Henry Cohn, 2025, needs more optimization.
5 959 0.898260631410 Henry Cohn, 2025, needs more optimization.
5 960 0.898312600155 Henry Cohn, 2025, needs more optimization.
5 961 0.898393660988 Henry Cohn, 2025, needs more optimization.
5 962 0.898409056975 Henry Cohn, 2025, needs more optimization.
5 963 0.898422521081 Henry Cohn, 2025, needs more optimization.
5 964 0.898522054140 Henry Cohn, 2025, needs more optimization.
5 965 0.898534843820 Henry Cohn, 2025, needs more optimization.
5 967 0.898736744826 Henry Cohn, 2025, needs more optimization.
5 969 0.898834405539 Henry Cohn, 2025, needs more optimization.
5 970 0.898858612689 Henry Cohn, 2025, needs more optimization.
5 971 0.898938218708 Henry Cohn, 2025, needs more optimization.
5 972 0.898939223336 Henry Cohn, 2025, needs more optimization.
5 973 0.899010831367 Henry Cohn, 2025, needs more optimization.
5 974 0.899116428966 Henry Cohn, 2025, needs more optimization.
5 976 0.899130526227 Henry Cohn, 2025, needs more optimization.
5 977 0.899260041990 Henry Cohn, 2025, needs more optimization.
5 978 0.899359703165 Henry Cohn, 2025, needs more optimization.
5 979 0.899373953501 Henry Cohn, 2025, needs more optimization.
5 980 0.899395922736 Henry Cohn, 2025, needs more optimization.
5 981 0.899411508849 Henry Cohn, 2025, needs more optimization.
5 982 0.899489717508 Henry Cohn, 2025, needs more optimization.
5 983 0.899611953337 Henry Cohn, 2025, needs more optimization.
5 984 0.899631351306 Henry Cohn, 2025, needs more optimization.
5 985 0.899637983035 Henry Cohn, 2025, needs more optimization.
5 986 0.899708088763 Henry Cohn, 2025, needs more optimization.
5 987 0.899728698452 Henry Cohn, 2025, needs more optimization.
5 988 0.899891484606 Henry Cohn, 2025, needs more optimization.
5 989 0.899895541128 Henry Cohn, 2025, needs more optimization.
5 990 0.899898297733 Henry Cohn, 2025, needs more optimization.
5 991 0.899929613953 Henry Cohn, 2025, needs more optimization.
5 992 0.899968578445 Henry Cohn, 2025, needs more optimization.
5 993 0.900083161501 Henry Cohn, 2025, needs more optimization.
5 994 0.900177535018 Henry Cohn, 2025, needs more optimization.
5 995 0.900264310026 Henry Cohn, 2025, needs more optimization.
5 996 0.900275540944 Henry Cohn, 2025, needs more optimization.
5 997 0.900361443797 Henry Cohn, 2025, needs more optimization.
5 999 0.900431347128 Henry Cohn, 2025, needs more optimization.
5 1000 0.900459900170 Henry Cohn, 2025, needs more optimization.
5 1001 0.900513764048 Henry Cohn, 2025, needs more optimization.
5 1002 0.900568147564 Henry Cohn, 2025, needs more optimization.
5 1003 0.900572765200 Henry Cohn, 2025, needs more optimization.
5 1004 0.900586849739 Henry Cohn, 2025, needs more optimization.
5 1006 0.900833238457 Henry Cohn, 2025, needs more optimization.
5 1007 0.900854009714 Henry Cohn, 2025, needs more optimization.
5 1008 0.900868573008 Henry Cohn, 2025, needs more optimization.
5 1009 0.900977984132 Henry Cohn, 2025, needs more optimization.
5 1011 0.900985935596 Henry Cohn, 2025, needs more optimization.
5 1012 0.901012746965 Henry Cohn, 2025, needs more optimization.
5 1013 0.901098896278 Henry Cohn, 2025, needs more optimization.
5 1014 0.901120381058 Henry Cohn, 2025, needs more optimization.
5 1015 0.901122877982 Henry Cohn, 2025, needs more optimization.
5 1016 0.901147613064 Henry Cohn, 2025, needs more optimization.
5 1017 0.901213595613 Henry Cohn, 2025, needs more optimization.
5 1018 0.901254050964 Henry Cohn, 2025, needs more optimization.
5 1019 0.901325787568 Henry Cohn, 2025, needs more optimization.
5 1020 0.901329810396 Henry Cohn, 2025, needs more optimization.
5 1021 0.901442156851 Henry Cohn, 2025, needs more optimization.
5 1022 0.901564199258 Henry Cohn, 2025, needs more optimization.
5 1023 0.901639556614 Henry Cohn, 2025, needs more optimization.
5 1024 0.901705069284 Henry Cohn, 2025, 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 0.435728619792 J. Wang, Finding and investigating exact spherical codes, Experiment. Math. 18 (2009), 249–256, https://projecteuclid.org/euclid.em/1259158434.
6 47 0.441277260126 Henry Cohn, 2023.
24⁢x3+16⁢x2−14⁢x+1
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 0.456559101176 Henry Cohn, 2024.
6 52 0.458253528717 Henry Cohn, 2023.
6 53 0.459152260492 Henry Cohn, 2023.
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 0.479818012263 Henry Cohn, 2023.
6 58 0.482548584905 Henry Cohn, 2024.
20⁢x2+9⁢x−9
6 59 0.486119746833 Henry Cohn, 2023.
6 60 0.486877257533 Henry Cohn, 2023.
6 61 0.491730207402 Henry Cohn, 2025, needs more optimization.
6 62 0.495376595904 Henry Cohn, 2023.
6 63 0.498122491823 Henry Cohn, 2023.
6 64 0.498526182118 Henry Cohn, 2023.
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 0.517792073302 Bram Cohen, 2023.
Minimal polynomial listed in plain text data
6 74 0.524331921924 Bram Cohen, 2023.
6 75 0.526821554232 Henry Cohn, 2025.
6 76 0.527237445355 Henry Cohn, 2025.
6 77 0.527287929827 Henry Cohn, 2025.
6 79 0.533648501058 Henry Cohn, 2025.
6 80 0.536468893038 Henry Cohn, 2025.
6 81 0.539327575295 Henry Cohn, 2025.
6 82 0.542045389727 Henry Cohn, 2025.
6 83 0.543869792291 Henry Cohn, 2025.
6 84 0.546970222275 Henry Cohn, 2024.
6 85 0.549385704407 Henry Cohn, 2024.
6 86 0.550314646242 Henry Cohn, 2023.
6 87 0.551714767476 Henry Cohn, 2023.
6 88 0.552456763833 Henry Cohn, 2024.
6 89 0.555561660912 Henry Cohn, 2025, needs more optimization.
6 91 0.557603429720 Henry Cohn, 2024.
6 92 0.560971622256 Henry Cohn, 2025, needs more optimization.
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 0.571167178278 Henry Cohn, 2025.
6 99 0.573881665753 Henry Cohn, 2023.
6 100 0.574916276575 Henry Cohn, 2024.
6 101 0.578331393550 Henry Cohn, 2023.
6 102 0.580736682189 Henry Cohn, 2023, needs more optimization.
6 103 0.583220131624 Henry Cohn, 2024.
6 104 0.583764772897 Henry Cohn, 2025.
6 105 0.584090776742 Henry Cohn, 2025.
6 106 0.586122594179 Henry Cohn, 2025, needs more optimization.
6 107 0.586326904654 Henry Cohn, 2025, needs more optimization.
6 108 0.586446745316 Henry Cohn, 2025, needs more optimization.
6 109 0.586505711035 Henry Cohn, 2025.
6 110 0.586596915990 Henry Cohn, 2025.
6 111 0.587632666644 Henry Cohn, 2025.
6 112 0.587657648892 Henry Cohn, 2024.
6 114 0.588109690133 Henry Cohn, 2023.
6 115 0.596006832892 Henry Cohn, 2025, needs more optimization.
6 116 0.598226076179 Henry Cohn, 2025.
6 117 0.598566959345 Henry Cohn, 2025, needs more optimization.
6 118 0.598906740290 Henry Cohn, 2025, needs more optimization.
6 119 0.599290271532 Henry Cohn, 2025.
6 120 0.599317371092 Henry Cohn, 2024.
6 121 0.605179180329 Henry Cohn, 2025.
6 122 0.606689340567 Henry Cohn, 2025, needs more optimization.
6 123 0.607115797651 Henry Cohn, 2025.
6 124 0.607974063056 Henry Cohn, 2025, needs more optimization.
6 125 0.607974063065 Henry Cohn, 2024, needs more optimization.
6 126 0.610431849202 Henry Cohn, 2024.
6 127 0.616565858577 Henry Cohn, 2025.
6 128 0.619107420038 Henry Cohn, 2025, needs more optimization.
6 129 0.620265668376 Henry Cohn, 2025, needs more optimization.
6 130 0.623641846517 Henry Cohn, 2025, needs more optimization.
6 131 0.624699873954 Henry Cohn, 2024, needs more optimization.
6 132 0.624700782851 Henry Cohn, 2024, needs more optimization.
6 133 0.628199129381 Henry Cohn, 2025, needs more optimization.
6 134 0.629038278513 Henry Cohn, 2024, needs more optimization.
6 135 0.630906686022 Henry Cohn, 2025, needs more optimization.
6 136 0.631874875582 Henry Cohn, 2024, needs more optimization.
6 137 0.633404247764 Henry Cohn, 2024, needs more optimization.
6 138 0.634654048659 Henry Cohn, 2025, needs more optimization.
6 139 0.637009870842 Henry Cohn, 2024, needs more optimization.
6 140 0.637601758571 Henry Cohn, 2024, needs more optimization.
6 141 0.639566342601 Henry Cohn, 2025, needs more optimization.
6 142 0.640106345397 Henry Cohn, 2024, needs more optimization.
6 143 0.641918964542 Henry Cohn, 2024, needs more optimization.
6 144 0.642557048262 Henry Cohn, 2024, needs more optimization.
6 145 0.644531046308 Henry Cohn, 2024, needs more optimization.
6 146 0.644980390551 Henry Cohn, 2024, needs more optimization.
6 147 0.646142136039 Henry Cohn, 2025, needs more optimization.
6 148 0.646885686260 Henry Cohn, 2024, needs more optimization.
6 149 0.648547763720 Henry Cohn, 2025, needs more optimization.
6 150 0.649319669619 Henry Cohn, 2024, needs more optimization.
6 151 0.649994962578 Henry Cohn, 2024, needs more optimization.
6 152 0.651472728170 Henry Cohn, 2024, needs more optimization.
6 153 0.652219004325 Henry Cohn, 2024, needs more optimization.
6 154 0.653149149096 Henry Cohn, 2025, needs more optimization.
6 155 0.654140457971 Henry Cohn, 2025.
6 156 0.654967854425 Henry Cohn, 2024, needs more optimization.
6 157 0.655859520434 Henry Cohn, 2025, needs more optimization.
6 158 0.656490997508 Henry Cohn, 2024, needs more optimization.
6 159 0.657297444240 Henry Cohn, 2024, needs more optimization.
6 160 0.658421788265 Henry Cohn, 2024, needs more optimization.
6 161 0.659148909926 Henry Cohn, 2024, needs more optimization.
6 162 0.659974223237 Henry Cohn, 2024, needs more optimization.
6 163 0.660657844536 Henry Cohn, 2024, needs more optimization.
6 164 0.661102846593 Henry Cohn, 2024, needs more optimization.
6 165 0.662275167972 Henry Cohn, 2024, needs more optimization.
6 166 0.662887250500 Henry Cohn, 2024, needs more optimization.
6 167 0.664103556470 Henry Cohn, 2024, needs more optimization.
6 168 0.664638529355 Henry Cohn, 2024, needs more optimization.
6 169 0.664933654764 Henry Cohn, 2024, needs more optimization.
6 170 0.665719376863 Henry Cohn, 2024, needs more optimization.
6 171 0.666505733547 Henry Cohn, 2024, needs more optimization.
6 172 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
6 173 0.666843022728 Henry Cohn, 2024, needs more optimization.
6 174 0.669495969360 Henry Cohn, 2024, needs more optimization.
6 175 0.669846695305 Henry Cohn, 2024, needs more optimization.
6 176 0.670657714864 Henry Cohn, 2024, needs more optimization.
6 177 0.671462802949 Henry Cohn, 2024, needs more optimization.
6 178 0.671627406277 Henry Cohn, 2025, needs more optimization.
6 179 0.672116417279 Henry Cohn, 2024, needs more optimization.
6 180 0.672445250324 Henry Cohn, 2025, needs more optimization.
6 181 0.672979958429 Henry Cohn, 2025, needs more optimization.
6 182 0.673469717171 Henry Cohn, 2025, needs more optimization.
6 183 0.673779724922 Henry Cohn, 2025, needs more optimization.
6 184 0.674007349083 Henry Cohn, 2025, needs more optimization.
6 185 0.675591608599 Henry Cohn, 2025, needs more optimization.
6 186 0.675598534284 Henry Cohn, 2025, needs more optimization.
6 187 0.677111912516 Henry Cohn, 2025, needs more optimization.
6 188 0.677413485705 Henry Cohn, 2025, needs more optimization.
6 189 0.677617801000 Henry Cohn, 2025, needs more optimization.
6 190 0.678865824657 Henry Cohn, 2025, needs more optimization.
6 191 0.678995862775 Henry Cohn, 2025, needs more optimization.
6 192 0.679939091722 Henry Cohn, 2025, needs more optimization.
6 193 0.680580288197 Henry Cohn, 2025, needs more optimization.
6 194 0.681006021613 Henry Cohn, 2025, needs more optimization.
6 195 0.681654988412 Henry Cohn, 2025, needs more optimization.
6 196 0.682243534333 Henry Cohn, 2025, needs more optimization.
6 197 0.682901804060 Henry Cohn, 2025, needs more optimization.
6 198 0.683200395136 Henry Cohn, 2025, needs more optimization.
6 199 0.684109563152 Henry Cohn, 2025, needs more optimization.
6 200 0.684465018928 Henry Cohn, 2025, needs more optimization.
6 201 0.685097993319 Henry Cohn, 2025, needs more optimization.
6 202 0.686175081025 Henry Cohn, 2025, needs more optimization.
6 203 0.686204252252 Henry Cohn, 2025, needs more optimization.
6 204 0.686908539447 Henry Cohn, 2025, needs more optimization.
6 205 0.687264176681 Henry Cohn, 2025, needs more optimization.
6 206 0.687366549612 Henry Cohn, 2025, needs more optimization.
6 207 0.688419399118 Henry Cohn, 2025, needs more optimization.
6 208 0.689229393912 Henry Cohn, 2024, needs more optimization.
6 209 0.689622322916 Henry Cohn, 2025, needs more optimization.
6 210 0.690250370334 Henry Cohn, 2025, needs more optimization.
6 211 0.690880322601 Henry Cohn, 2025, needs more optimization.
6 212 0.691393078758 Henry Cohn, 2025, needs more optimization.
6 213 0.695358313158 Henry Cohn, 2024, needs more optimization.
6 214 0.695363898891 Henry Cohn, 2024, needs more optimization.
6 215 0.696037822586 Henry Cohn, 2024, needs more optimization.
6 216 0.696057797150 Henry Cohn, 2025, needs more optimization.
6 217 0.697276834869 Henry Cohn, 2024, needs more optimization.
6 218 0.697795157096 Henry Cohn, 2024, needs more optimization.
6 219 0.697976887301 Henry Cohn, 2024, needs more optimization.
6 220 0.698816894891 Henry Cohn, 2024, needs more optimization.
6 221 0.699230526477 Henry Cohn, 2024, 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 0.704658873378 Henry Cohn, 2025, needs more optimization.
6 245 0.704958026451 Henry Cohn, 2025, needs more optimization.
6 246 0.704959475106 Henry Cohn, 2025, needs more optimization.
6 247 0.705046757210 Henry Cohn, 2025, needs more optimization.
6 248 0.705092005404 Henry Cohn, 2025, needs more optimization.
6 250 0.705106536843 Henry Cohn, 2025, needs more optimization.
6 251 0.705124811872 Henry Cohn, 2025, needs more optimization.
6 252 0.705219979922 Henry Cohn, 2025, needs more optimization.
6 253 0.705863996126 Henry Cohn, 2025, needs more optimization.
6 254 0.706495031441 Henry Cohn, 2025, needs more optimization.
6 255 0.706650379458 Henry Cohn, 2025, needs more optimization.
6 256 0.706654725219 Henry Cohn, 2025, needs more optimization.
6 257 0.706805925819 Henry Cohn, 2025, needs more optimization.
6 258 0.706838635230 Henry Cohn, 2025, needs more optimization.
6 259 0.707211776493 Henry Cohn, 2025, needs more optimization.
6 260 0.707306624689 Henry Cohn, 2025, needs more optimization.
6 261 0.710446151192 Henry Cohn, 2025, needs more optimization.
6 262 0.710476652782 Henry Cohn, 2025, needs more optimization.
6 263 0.710735483028 Henry Cohn, 2025, needs more optimization.
6 264 0.711573620809 Henry Cohn, 2025, needs more optimization.
6 265 0.712521350579 Henry Cohn, 2025, needs more optimization.
6 266 0.713247961128 Henry Cohn, 2025, needs more optimization.
6 267 0.715273976155 Henry Cohn, 2025, needs more optimization.
6 268 0.715901415499 Henry Cohn, 2025, needs more optimization.
6 269 0.716033670700 Henry Cohn, 2025, needs more optimization.
6 270 0.717324577602 Henry Cohn, 2025, needs more optimization.
6 271 0.717347967324 Henry Cohn, 2025, needs more optimization.
6 272 0.717824812418 Henry Cohn, 2025, needs more optimization.
6 274 0.717964292229 Henry Cohn, 2025, needs more optimization.
6 275 0.719431361466 Henry Cohn, 2025, needs more optimization.
6 276 0.720465871698 Henry Cohn, 2025, needs more optimization.
6 277 0.720818859599 Henry Cohn, 2025, needs more optimization.
6 278 0.720865013931 Henry Cohn, 2025, needs more optimization.
6 279 0.722090526352 Henry Cohn, 2025, needs more optimization.
6 280 0.722986382445 Henry Cohn, 2025, needs more optimization.
6 281 0.722987038646 Henry Cohn, 2025, needs more optimization.
6 282 0.723518454655 Henry Cohn, 2025, needs more optimization.
6 283 0.723935793406 Henry Cohn, 2025, needs more optimization.
6 284 0.724648389144 Henry Cohn, 2025, needs more optimization.
6 285 0.724994953746 Henry Cohn, 2025, needs more optimization.
6 286 0.725345424793 Henry Cohn, 2025, needs more optimization.
6 287 0.725381674065 Henry Cohn, 2025, needs more optimization.
6 288 0.726267342968 Henry Cohn, 2025, needs more optimization.
6 290 0.726829065427 Henry Cohn, 2025, needs more optimization.
6 291 0.728162829923 Henry Cohn, 2025, needs more optimization.
6 292 0.728174504449 Henry Cohn, 2025, needs more optimization.
6 293 0.728704272607 Henry Cohn, 2025, needs more optimization.
6 294 0.729030926219 Henry Cohn, 2025, needs more optimization.
6 295 0.729437652313 Henry Cohn, 2025, needs more optimization.
6 296 0.730290502935 Henry Cohn, 2025, needs more optimization.
6 297 0.731076300664 Henry Cohn, 2025, needs more optimization.
6 298 0.731178444295 Henry Cohn, 2025, needs more optimization.
6 299 0.731515421860 Henry Cohn, 2025, needs more optimization.
6 300 0.732112845366 Henry Cohn, 2025, needs more optimization.
6 301 0.732416678518 Henry Cohn, 2025, needs more optimization.
6 302 0.733154597342 Henry Cohn, 2025, needs more optimization.
6 303 0.733265144419 Henry Cohn, 2025, needs more optimization.
6 304 0.733474326159 Henry Cohn, 2025, needs more optimization.
6 305 0.733794655030 Henry Cohn, 2025, needs more optimization.
6 306 0.733866177993 Henry Cohn, 2025, needs more optimization.
6 307 0.734390329949 Henry Cohn, 2025, needs more optimization.
6 308 0.735148466320 Henry Cohn, 2025, needs more optimization.
6 309 0.735661892248 Henry Cohn, 2025, needs more optimization.
6 310 0.736073358656 Henry Cohn, 2025, needs more optimization.
6 311 0.736185154344 Henry Cohn, 2025, needs more optimization.
6 312 0.736700074960 Henry Cohn, 2025, needs more optimization.
6 313 0.737357322296 Henry Cohn, 2025, needs more optimization.
6 314 0.737761728767 Henry Cohn, 2025, needs more optimization.
6 315 0.737831637343 Henry Cohn, 2025, needs more optimization.
6 316 0.738212795806 Henry Cohn, 2025, needs more optimization.
6 317 0.738613322480 Henry Cohn, 2025, needs more optimization.
6 318 0.739530231283 Henry Cohn, 2025, needs more optimization.
6 319 0.740050577927 Henry Cohn, 2025, needs more optimization.
6 320 0.740195855213 Henry Cohn, 2025, needs more optimization.
6 321 0.740402724241 Henry Cohn, 2025, needs more optimization.
6 322 0.740874313174 Henry Cohn, 2025, needs more optimization.
6 323 0.741323429328 Henry Cohn, 2025, needs more optimization.
6 324 0.741700909002 Henry Cohn, 2025, needs more optimization.
6 325 0.742246591588 Henry Cohn, 2025, needs more optimization.
6 326 0.742456930608 Henry Cohn, 2025, needs more optimization.
6 327 0.742951316911 Henry Cohn, 2025, needs more optimization.
6 328 0.743224640775 Henry Cohn, 2025, needs more optimization.
6 329 0.743917206939 Henry Cohn, 2025, needs more optimization.
6 330 0.744400271470 Henry Cohn, 2025, needs more optimization.
6 331 0.744800502360 Henry Cohn, 2025, needs more optimization.
6 332 0.745075935606 Henry Cohn, 2025, needs more optimization.
6 333 0.745467810779 Henry Cohn, 2025, needs more optimization.
6 334 0.745876428076 Henry Cohn, 2025, needs more optimization.
6 342 0.746790391073 Henry Cohn, 2023, needs more optimization.
6 343 0.748841050044 Henry Cohn, 2025, needs more optimization.
6 344 0.749069025071 Henry Cohn, 2025, needs more optimization.
6 345 0.749266037027 Henry Cohn, 2025, needs more optimization.
6 346 0.749564741696 Henry Cohn, 2025, needs more optimization.
6 347 0.749798364690 Henry Cohn, 2025, needs more optimization.
6 348 0.750331506180 Henry Cohn, 2025, needs more optimization.
6 349 0.750503191071 Henry Cohn, 2025, needs more optimization.
6 350 0.750781882044 Henry Cohn, 2025, needs more optimization.
6 351 0.750837736399 Henry Cohn, 2025, needs more optimization.
6 352 0.751253722010 Henry Cohn, 2025, needs more optimization.
6 353 0.751714863962 Henry Cohn, 2025, needs more optimization.
6 354 0.751805047730 Henry Cohn, 2025, needs more optimization.
6 355 0.751934926381 Henry Cohn, 2025, needs more optimization.
6 356 0.752284354827 Henry Cohn, 2025, needs more optimization.
6 357 0.752899258622 Henry Cohn, 2025, needs more optimization.
6 358 0.752944135015 Henry Cohn, 2025, needs more optimization.
6 359 0.753290360804 Henry Cohn, 2025, needs more optimization.
6 360 0.753398391402 Henry Cohn, 2025, needs more optimization.
6 361 0.753737071365 Henry Cohn, 2025, needs more optimization.
6 362 0.754060455855 Henry Cohn, 2025, needs more optimization.
6 363 0.754391381517 Henry Cohn, 2025, needs more optimization.
6 364 0.754666347797 Henry Cohn, 2025, needs more optimization.
6 365 0.754818502152 Henry Cohn, 2025, needs more optimization.
6 366 0.755039833993 Henry Cohn, 2025, needs more optimization.
6 367 0.755458232833 Henry Cohn, 2025, needs more optimization.
6 368 0.755618324519 Henry Cohn, 2025, needs more optimization.
6 369 0.756134137839 Henry Cohn, 2025, needs more optimization.
6 370 0.756492187511 Henry Cohn, 2025, needs more optimization.
6 371 0.756625060003 Henry Cohn, 2025, needs more optimization.
6 372 0.756759262628 Henry Cohn, 2025, needs more optimization.
6 373 0.757132722236 Henry Cohn, 2025, needs more optimization.
6 374 0.757314016317 Henry Cohn, 2025, needs more optimization.
6 375 0.757922987508 Henry Cohn, 2025, needs more optimization.
6 376 0.757993367495 Henry Cohn, 2025, needs more optimization.
6 377 0.758664541092 Henry Cohn, 2025, needs more optimization.
6 378 0.758717144387 Henry Cohn, 2025, needs more optimization.
6 379 0.759214352010 Henry Cohn, 2025, needs more optimization.
6 380 0.759289338453 Henry Cohn, 2025, needs more optimization.
6 381 0.759424082943 Henry Cohn, 2025, needs more optimization.
6 382 0.759588110302 Henry Cohn, 2025, needs more optimization.
6 383 0.759892829859 Henry Cohn, 2025, needs more optimization.
6 384 0.759905910056 Henry Cohn, 2025, needs more optimization.
6 385 0.760347676343 Henry Cohn, 2025, needs more optimization.
6 386 0.760469383839 Henry Cohn, 2025, needs more optimization.
6 387 0.760835708448 Henry Cohn, 2025, needs more optimization.
6 388 0.761176884264 Henry Cohn, 2025, needs more optimization.
6 389 0.761392923324 Henry Cohn, 2025, needs more optimization.
6 390 0.761779583649 Henry Cohn, 2025, needs more optimization.
6 391 0.761801350661 Henry Cohn, 2025, needs more optimization.
6 392 0.762157644072 Henry Cohn, 2025, needs more optimization.
6 393 0.762160511164 Henry Cohn, 2025, needs more optimization.
6 394 0.762467144423 Henry Cohn, 2025, needs more optimization.
6 395 0.762824806759 Henry Cohn, 2025, needs more optimization.
6 396 0.763226986795 Henry Cohn, 2025, needs more optimization.
6 397 0.763265417521 Henry Cohn, 2025, needs more optimization.
6 398 0.763667586383 Henry Cohn, 2025, needs more optimization.
6 399 0.763778015015 Henry Cohn, 2025, needs more optimization.
6 400 0.764313410189 Henry Cohn, 2025, needs more optimization.
6 401 0.764321098938 Henry Cohn, 2025, needs more optimization.
6 402 0.764360259075 Henry Cohn, 2025, needs more optimization.
6 403 0.764572152690 Henry Cohn, 2025, needs more optimization.
6 404 0.764948720712 Henry Cohn, 2025, needs more optimization.
6 405 0.765119391862 Henry Cohn, 2025, needs more optimization.
6 406 0.765532533771 Henry Cohn, 2025, needs more optimization.
6 407 0.765562373015 Henry Cohn, 2025, needs more optimization.
6 408 0.765843084808 Henry Cohn, 2025, needs more optimization.
6 409 0.765847573501 Henry Cohn, 2025, needs more optimization.
6 410 0.766036174924 Henry Cohn, 2025, needs more optimization.
6 411 0.766429720144 Henry Cohn, 2025, needs more optimization.
6 412 0.766619840406 Henry Cohn, 2025, needs more optimization.
6 413 0.766783053501 Henry Cohn, 2025, needs more optimization.
6 414 0.767107524578 Henry Cohn, 2025, needs more optimization.
6 415 0.767558038199 Henry Cohn, 2025, needs more optimization.
6 416 0.767822571162 Henry Cohn, 2025, needs more optimization.
6 417 0.768275093457 Henry Cohn, 2025, needs more optimization.
6 418 0.768325691504 Henry Cohn, 2025, needs more optimization.
6 419 0.768700887034 Henry Cohn, 2025, needs more optimization.
6 420 0.768703153828 Henry Cohn, 2025, needs more optimization.
6 421 0.768870069376 Henry Cohn, 2025, needs more optimization.
6 422 0.769141557143 Henry Cohn, 2025, needs more optimization.
6 423 0.769380393535 Henry Cohn, 2025, needs more optimization.
6 424 0.769739534057 Henry Cohn, 2025, needs more optimization.
6 425 0.769906983725 Henry Cohn, 2025, needs more optimization.
6 426 0.770271961905 Henry Cohn, 2025, needs more optimization.
6 427 0.770470798880 Henry Cohn, 2025, needs more optimization.
6 428 0.770680999183 Henry Cohn, 2025, needs more optimization.
6 429 0.770681981055 Henry Cohn, 2025, needs more optimization.
6 430 0.770908931443 Henry Cohn, 2025, needs more optimization.
6 431 0.770929384281 Henry Cohn, 2025, needs more optimization.
6 432 0.771242219766 Henry Cohn, 2025, needs more optimization.
6 433 0.771382581330 Henry Cohn, 2025, needs more optimization.
6 434 0.771535594990 Henry Cohn, 2025, needs more optimization.
6 435 0.771885822672 Henry Cohn, 2025, needs more optimization.
6 436 0.771893175548 Henry Cohn, 2025, needs more optimization.
6 437 0.772029819935 Henry Cohn, 2025, needs more optimization.
6 438 0.772265509671 Henry Cohn, 2025, needs more optimization.
6 439 0.772523939817 Henry Cohn, 2025, needs more optimization.
6 440 0.772663149453 Henry Cohn, 2025, needs more optimization.
6 441 0.772955200339 Henry Cohn, 2025, needs more optimization.
6 442 0.773113077242 Henry Cohn, 2025, needs more optimization.
6 443 0.773310557624 Henry Cohn, 2025, needs more optimization.
6 444 0.773776826434 Henry Cohn, 2025, needs more optimization.
6 445 0.773983280335 Henry Cohn, 2025, needs more optimization.
6 446 0.774219246104 Henry Cohn, 2025, needs more optimization.
6 447 0.774236279177 Henry Cohn, 2025, needs more optimization.
6 448 0.774542824412 Henry Cohn, 2025, needs more optimization.
6 449 0.774731477728 Henry Cohn, 2025, needs more optimization.
6 450 0.775063511001 Henry Cohn, 2025, needs more optimization.
6 451 0.775065892714 Henry Cohn, 2025, needs more optimization.
6 452 0.775248241052 Henry Cohn, 2025, needs more optimization.
6 453 0.775432238439 Henry Cohn, 2025, needs more optimization.
6 454 0.775505106768 Henry Cohn, 2025, needs more optimization.
6 455 0.776031130692 Henry Cohn, 2025, needs more optimization.
6 456 0.776068757202 Henry Cohn, 2025, needs more optimization.
6 457 0.776321955413 Henry Cohn, 2025, needs more optimization.
6 458 0.776539559719 Henry Cohn, 2025, needs more optimization.
6 460 0.776807101274 Henry Cohn, 2025, needs more optimization.
6 461 0.776809166143 Henry Cohn, 2025, needs more optimization.
6 462 0.777200962228 Henry Cohn, 2025, needs more optimization.
6 463 0.777434326346 Henry Cohn, 2025, needs more optimization.
6 464 0.777508700669 Henry Cohn, 2025, needs more optimization.
6 465 0.777694088432 Henry Cohn, 2025, needs more optimization.
6 466 0.777955732398 Henry Cohn, 2025, needs more optimization.
6 467 0.778150270359 Henry Cohn, 2025, needs more optimization.
6 468 0.778287393273 Henry Cohn, 2025, needs more optimization.
6 469 0.778347930220 Henry Cohn, 2025, needs more optimization.
6 470 0.779001228385 Henry Cohn, 2025, needs more optimization.
6 471 0.779024956635 Henry Cohn, 2025, needs more optimization.
6 472 0.779181329561 Henry Cohn, 2025, needs more optimization.
6 473 0.779488936123 Henry Cohn, 2025, needs more optimization.
6 474 0.779744270952 Henry Cohn, 2025, needs more optimization.
6 475 0.779753504424 Henry Cohn, 2025, needs more optimization.
6 476 0.779768569425 Henry Cohn, 2025, needs more optimization.
6 477 0.780128871313 Henry Cohn, 2025, needs more optimization.
6 478 0.780205950103 Henry Cohn, 2025, needs more optimization.
6 479 0.780501205782 Henry Cohn, 2025, needs more optimization.
6 480 0.780553951214 Henry Cohn, 2025, needs more optimization.
6 481 0.780795191845 Henry Cohn, 2025, needs more optimization.
6 482 0.780977289950 Henry Cohn, 2025, needs more optimization.
6 483 0.781178748013 Henry Cohn, 2025, needs more optimization.
6 484 0.781465673962 Henry Cohn, 2025, needs more optimization.
6 485 0.781607451896 Henry Cohn, 2025, needs more optimization.
6 486 0.781674797615 Henry Cohn, 2025, needs more optimization.
6 487 0.782092404018 Henry Cohn, 2025, needs more optimization.
6 488 0.782194755124 Henry Cohn, 2025, needs more optimization.
6 489 0.782416342873 Henry Cohn, 2025, needs more optimization.
6 490 0.782463158072 Henry Cohn, 2025, needs more optimization.
6 491 0.782767740923 Henry Cohn, 2025, needs more optimization.
6 492 0.782865245898 Henry Cohn, 2025, needs more optimization.
6 493 0.783020080439 Henry Cohn, 2025, needs more optimization.
6 494 0.783328089629 Henry Cohn, 2025, needs more optimization.
6 495 0.783396974283 Henry Cohn, 2025, needs more optimization.
6 496 0.783469018173 Henry Cohn, 2025, needs more optimization.
6 497 0.783761142765 Henry Cohn, 2025, needs more optimization.
6 498 0.783946677385 Henry Cohn, 2025, needs more optimization.
6 499 0.783955309086 Henry Cohn, 2025, needs more optimization.
6 500 0.784225819721 Henry Cohn, 2025, needs more optimization.
6 501 0.784506246453 Henry Cohn, 2025, needs more optimization.
6 502 0.784696939909 Henry Cohn, 2025, needs more optimization.
6 503 0.784879873306 Henry Cohn, 2025, needs more optimization.
6 504 0.785046333150 Henry Cohn, 2025, needs more optimization.
6 505 0.785180330582 Henry Cohn, 2025, needs more optimization.
6 506 0.785431882752 Henry Cohn, 2025, needs more optimization.
6 507 0.785549446982 Henry Cohn, 2025, needs more optimization.
6 508 0.785801024510 Henry Cohn, 2025, needs more optimization.
6 509 0.785963085809 Henry Cohn, 2025, needs more optimization.
6 510 0.786078564642 Henry Cohn, 2025, needs more optimization.
6 511 0.786344662388 Henry Cohn, 2025, needs more optimization.
6 512 0.786396647610 Henry Cohn, 2025, needs more optimization.
6 513 0.786464494718 Henry Cohn, 2025, needs more optimization.
6 514 0.786701726769 Henry Cohn, 2025, needs more optimization.
6 515 0.786913884715 Henry Cohn, 2025, needs more optimization.
6 516 0.787066437319 Henry Cohn, 2025, needs more optimization.
6 517 0.787231815764 Henry Cohn, 2025, needs more optimization.
6 518 0.787272798145 Henry Cohn, 2025, needs more optimization.
6 519 0.787318272676 Henry Cohn, 2025, needs more optimization.
6 520 0.787617124479 Henry Cohn, 2025, needs more optimization.
6 521 0.787734926114 Henry Cohn, 2025, needs more optimization.
6 522 0.788137976651 Henry Cohn, 2025, needs more optimization.
6 523 0.788156267395 Henry Cohn, 2025, needs more optimization.
6 524 0.788442697392 Henry Cohn, 2025, needs more optimization.
6 525 0.788608388669 Henry Cohn, 2025, needs more optimization.
6 526 0.788709148657 Henry Cohn, 2025, needs more optimization.
6 527 0.788880781592 Henry Cohn, 2025, needs more optimization.
6 528 0.788927333827 Henry Cohn, 2025, needs more optimization.
6 529 0.789134700458 Henry Cohn, 2025, needs more optimization.
6 530 0.789414807102 Henry Cohn, 2025, needs more optimization.
6 531 0.789431949515 Henry Cohn, 2025, needs more optimization.
6 532 0.789788110824 Henry Cohn, 2025, needs more optimization.
6 533 0.789792757309 Henry Cohn, 2025, needs more optimization.
6 534 0.789817192244 Henry Cohn, 2025, needs more optimization.
6 535 0.790045702885 Henry Cohn, 2025, needs more optimization.
6 536 0.790080666571 Henry Cohn, 2025, needs more optimization.
6 537 0.790458091277 Henry Cohn, 2025, needs more optimization.
6 538 0.790525160833 Henry Cohn, 2025, needs more optimization.
6 539 0.790575573190 Henry Cohn, 2025, needs more optimization.
6 540 0.790805924108 Henry Cohn, 2025, needs more optimization.
6 541 0.790906649479 Henry Cohn, 2025, needs more optimization.
6 542 0.790912425048 Henry Cohn, 2025, needs more optimization.
6 543 0.791109702429 Henry Cohn, 2025, needs more optimization.
6 544 0.791482704844 Henry Cohn, 2025, needs more optimization.
6 545 0.791558493382 Henry Cohn, 2025, needs more optimization.
6 546 0.791799721623 Henry Cohn, 2025, needs more optimization.
6 547 0.791817853845 Henry Cohn, 2025, needs more optimization.
6 548 0.792009795325 Henry Cohn, 2025, needs more optimization.
6 549 0.792120458535 Henry Cohn, 2025, needs more optimization.
6 550 0.792430370247 Henry Cohn, 2025, needs more optimization.
6 551 0.792571287759 Henry Cohn, 2025, needs more optimization.
6 552 0.792575961010 Henry Cohn, 2025, needs more optimization.
6 553 0.792720237063 Henry Cohn, 2025, needs more optimization.
6 554 0.792991123280 Henry Cohn, 2025, needs more optimization.
6 555 0.793030377786 Henry Cohn, 2025, needs more optimization.
6 556 0.793345560359 Henry Cohn, 2025, needs more optimization.
6 557 0.793375623664 Henry Cohn, 2025, needs more optimization.
6 558 0.793394709101 Henry Cohn, 2025, needs more optimization.
6 559 0.793542698568 Henry Cohn, 2025, needs more optimization.
6 560 0.793972707409 Henry Cohn, 2025, needs more optimization.
6 561 0.793997720863 Henry Cohn, 2025, needs more optimization.
6 562 0.793999096351 Henry Cohn, 2025, needs more optimization.
6 563 0.794253599934 Henry Cohn, 2025, needs more optimization.
6 564 0.794345967712 Henry Cohn, 2025, needs more optimization.
6 565 0.794514240296 Henry Cohn, 2025, needs more optimization.
6 566 0.794720999866 Henry Cohn, 2025, needs more optimization.
6 567 0.794825423736 Henry Cohn, 2025, needs more optimization.
6 568 0.795028863693 Henry Cohn, 2025, needs more optimization.
6 569 0.795035132974 Henry Cohn, 2025, needs more optimization.
6 570 0.795266363447 Henry Cohn, 2025, needs more optimization.
6 571 0.795288705125 Henry Cohn, 2025, needs more optimization.
6 572 0.795516409345 Henry Cohn, 2025, needs more optimization.
6 573 0.795829156946 Henry Cohn, 2025, needs more optimization.
6 574 0.795900175913 Henry Cohn, 2025, needs more optimization.
6 575 0.795904568008 Henry Cohn, 2025, needs more optimization.
6 576 0.796101080809 Henry Cohn, 2025, needs more optimization.
6 577 0.796256548729 Henry Cohn, 2025, needs more optimization.
6 578 0.796571670123 Henry Cohn, 2025, needs more optimization.
6 579 0.796578972823 Henry Cohn, 2025, needs more optimization.
6 580 0.796751653475 Henry Cohn, 2025, needs more optimization.
6 581 0.796791020043 Henry Cohn, 2025, needs more optimization.
6 582 0.797057202471 Henry Cohn, 2025, needs more optimization.
6 583 0.797104811578 Henry Cohn, 2025, needs more optimization.
6 584 0.797359651383 Henry Cohn, 2025, needs more optimization.
6 585 0.797384718954 Henry Cohn, 2025, needs more optimization.
6 586 0.797386926030 Henry Cohn, 2025, needs more optimization.
6 587 0.797603948018 Henry Cohn, 2025, needs more optimization.
6 588 0.797796133170 Henry Cohn, 2025, needs more optimization.
6 589 0.797850788731 Henry Cohn, 2025, needs more optimization.
6 591 0.798166091649 Henry Cohn, 2025, needs more optimization.
6 592 0.798376791335 Henry Cohn, 2025, needs more optimization.
6 593 0.798673071289 Henry Cohn, 2025, needs more optimization.
6 594 0.798673309928 Henry Cohn, 2025, needs more optimization.
6 595 0.798805187978 Henry Cohn, 2025, needs more optimization.
6 596 0.799064914994 Henry Cohn, 2025, needs more optimization.
6 597 0.799214553851 Henry Cohn, 2025, needs more optimization.
6 598 0.799241127936 Henry Cohn, 2025, needs more optimization.
6 599 0.799406794187 Henry Cohn, 2025, needs more optimization.
6 600 0.799541622847 Henry Cohn, 2025, needs more optimization.
6 601 0.799696542620 Henry Cohn, 2025, needs more optimization.
6 602 0.799819626365 Henry Cohn, 2025, needs more optimization.
6 603 0.799927083241 Henry Cohn, 2025, needs more optimization.
6 604 0.800237726072 Henry Cohn, 2025, needs more optimization.
6 605 0.800238223191 Henry Cohn, 2025, needs more optimization.
6 606 0.800239423949 Henry Cohn, 2025, needs more optimization.
6 607 0.800492441363 Henry Cohn, 2025, needs more optimization.
6 608 0.800497749647 Henry Cohn, 2025, needs more optimization.
6 609 0.800688709880 Henry Cohn, 2025, needs more optimization.
6 610 0.801072650459 Henry Cohn, 2025, needs more optimization.
6 611 0.801086174708 Henry Cohn, 2025, needs more optimization.
6 612 0.801133000500 Henry Cohn, 2025, needs more optimization.
6 613 0.801192982451 Henry Cohn, 2025, needs more optimization.
6 615 0.801487334924 Henry Cohn, 2025, needs more optimization.
6 616 0.801658261836 Henry Cohn, 2025, needs more optimization.
6 617 0.801687331568 Henry Cohn, 2025, needs more optimization.
6 618 0.801910744505 Henry Cohn, 2025, needs more optimization.
6 619 0.801917944388 Henry Cohn, 2025, needs more optimization.
6 620 0.802032769540 Henry Cohn, 2025, needs more optimization.
6 621 0.802213022570 Henry Cohn, 2025, needs more optimization.
6 622 0.802454074297 Henry Cohn, 2025, needs more optimization.
6 623 0.802568688111 Henry Cohn, 2025, needs more optimization.
6 624 0.802582155922 Henry Cohn, 2025, needs more optimization.
6 625 0.802875169852 Henry Cohn, 2025, needs more optimization.
6 626 0.802900642508 Henry Cohn, 2025, needs more optimization.
6 627 0.802921218541 Henry Cohn, 2025, needs more optimization.
6 628 0.803036326246 Henry Cohn, 2025, needs more optimization.
6 629 0.803301320478 Henry Cohn, 2025, needs more optimization.
6 630 0.803303145442 Henry Cohn, 2025, needs more optimization.
6 631 0.803487382574 Henry Cohn, 2025, needs more optimization.
6 632 0.803735569961 Henry Cohn, 2025, needs more optimization.
6 633 0.803851268926 Henry Cohn, 2025, needs more optimization.
6 634 0.804008752494 Henry Cohn, 2025, needs more optimization.
6 635 0.804025542024 Henry Cohn, 2025, needs more optimization.
6 636 0.804183161380 Henry Cohn, 2025, needs more optimization.
6 637 0.804245837686 Henry Cohn, 2025, needs more optimization.
6 638 0.804384859272 Henry Cohn, 2025, needs more optimization.
6 639 0.804388235910 Henry Cohn, 2025, needs more optimization.
6 640 0.804616355202 Henry Cohn, 2025, needs more optimization.
6 641 0.804666298456 Henry Cohn, 2025, needs more optimization.
6 642 0.804672578592 Henry Cohn, 2025, needs more optimization.
6 643 0.804844390094 Henry Cohn, 2025, needs more optimization.
6 644 0.805068375817 Henry Cohn, 2025, needs more optimization.
6 645 0.805285069869 Henry Cohn, 2025, needs more optimization.
6 646 0.805384911647 Henry Cohn, 2025, needs more optimization.
6 647 0.805448187462 Henry Cohn, 2025, needs more optimization.
6 648 0.805456820919 Henry Cohn, 2025, needs more optimization.
6 649 0.805642092642 Henry Cohn, 2025, needs more optimization.
6 650 0.805658850314 Henry Cohn, 2025, needs more optimization.
6 651 0.805914570942 Henry Cohn, 2025, needs more optimization.
6 652 0.805953892707 Henry Cohn, 2025, needs more optimization.
6 653 0.806117398513 Henry Cohn, 2025, needs more optimization.
6 654 0.806370880524 Henry Cohn, 2025, needs more optimization.
6 655 0.806375912850 Henry Cohn, 2025, needs more optimization.
6 656 0.806424836685 Henry Cohn, 2025, needs more optimization.
6 657 0.806640579298 Henry Cohn, 2025, needs more optimization.
6 658 0.806679762038 Henry Cohn, 2025, needs more optimization.
6 659 0.806730375136 Henry Cohn, 2025, needs more optimization.
6 660 0.806757030490 Henry Cohn, 2025, needs more optimization.
6 661 0.806983357269 Henry Cohn, 2025, needs more optimization.
6 662 0.807247874962 Henry Cohn, 2025, needs more optimization.
6 663 0.807374386119 Henry Cohn, 2025, needs more optimization.
6 664 0.807380167195 Henry Cohn, 2025, needs more optimization.
6 665 0.807627305580 Henry Cohn, 2025, needs more optimization.
6 666 0.807663418986 Henry Cohn, 2025, needs more optimization.
6 667 0.807795326218 Henry Cohn, 2025, needs more optimization.
6 668 0.807828789748 Henry Cohn, 2025, needs more optimization.
6 669 0.807833607483 Henry Cohn, 2025, needs more optimization.
6 670 0.808107685349 Henry Cohn, 2025, needs more optimization.
6 671 0.808222733957 Henry Cohn, 2025, needs more optimization.
6 672 0.808407844851 Henry Cohn, 2025, needs more optimization.
6 673 0.808414765330 Henry Cohn, 2025, needs more optimization.
6 674 0.808466101160 Henry Cohn, 2025, needs more optimization.
6 675 0.808771260208 Henry Cohn, 2025, needs more optimization.
6 676 0.808773592661 Henry Cohn, 2025, needs more optimization.
6 677 0.808946782452 Henry Cohn, 2025, needs more optimization.
6 678 0.809097915287 Henry Cohn, 2025, needs more optimization.
6 679 0.809105555259 Henry Cohn, 2025, needs more optimization.
6 680 0.809285168486 Henry Cohn, 2025, needs more optimization.
6 681 0.809550813598 Henry Cohn, 2025, needs more optimization.
6 682 0.809557093094 Henry Cohn, 2025, needs more optimization.
6 683 0.809593568170 Henry Cohn, 2025, needs more optimization.
6 684 0.809811590934 Henry Cohn, 2025, needs more optimization.
6 685 0.809815681557 Henry Cohn, 2025, needs more optimization.
6 686 0.809958328451 Henry Cohn, 2025, needs more optimization.
6 687 0.809988161061 Henry Cohn, 2025, needs more optimization.
6 688 0.810216131855 Henry Cohn, 2025, needs more optimization.
6 689 0.810286164813 Henry Cohn, 2025, needs more optimization.
6 690 0.810404495670 Henry Cohn, 2025, needs more optimization.
6 691 0.810680318644 Henry Cohn, 2025, needs more optimization.
6 692 0.810693678815 Henry Cohn, 2025, needs more optimization.
6 693 0.810694457825 Henry Cohn, 2025, needs more optimization.
6 694 0.810883889506 Henry Cohn, 2025, needs more optimization.
6 695 0.810952995250 Henry Cohn, 2025, needs more optimization.
6 696 0.811137966515 Henry Cohn, 2025, needs more optimization.
6 697 0.811183053752 Henry Cohn, 2025, needs more optimization.
6 698 0.811436541795 Henry Cohn, 2025, needs more optimization.
6 699 0.811556195073 Henry Cohn, 2025, needs more optimization.
6 700 0.811702828291 Henry Cohn, 2025, needs more optimization.
6 701 0.811714701578 Henry Cohn, 2025, needs more optimization.
6 702 0.811787077923 Henry Cohn, 2025, needs more optimization.
6 703 0.811897776057 Henry Cohn, 2025, needs more optimization.
6 704 0.811934221528 Henry Cohn, 2025, needs more optimization.
6 705 0.812056907372 Henry Cohn, 2025, needs more optimization.
6 706 0.812335450951 Henry Cohn, 2025, needs more optimization.
6 707 0.812337723232 Henry Cohn, 2025, needs more optimization.
6 708 0.812521323092 Henry Cohn, 2025, needs more optimization.
6 709 0.812710571282 Henry Cohn, 2025, needs more optimization.
6 710 0.812869525485 Henry Cohn, 2025, needs more optimization.
6 711 0.812870939378 Henry Cohn, 2025, needs more optimization.
6 712 0.812911099485 Henry Cohn, 2025, needs more optimization.
6 713 0.813168514782 Henry Cohn, 2025, needs more optimization.
6 714 0.813192409585 Henry Cohn, 2025, needs more optimization.
6 715 0.813306799649 Henry Cohn, 2025, needs more optimization.
6 716 0.813312306830 Henry Cohn, 2025, needs more optimization.
6 717 0.813340180925 Henry Cohn, 2025, needs more optimization.
6 718 0.813646592157 Henry Cohn, 2025, needs more optimization.
6 719 0.813647808802 Henry Cohn, 2025, needs more optimization.
6 720 0.813682595560 Henry Cohn, 2025, needs more optimization.
6 721 0.813962266975 Henry Cohn, 2025, needs more optimization.
6 722 0.814010506351 Henry Cohn, 2025, needs more optimization.
6 723 0.814036582515 Henry Cohn, 2025, needs more optimization.
6 724 0.814067612363 Henry Cohn, 2025, needs more optimization.
6 725 0.814206662567 Henry Cohn, 2025, needs more optimization.
6 726 0.814338242416 Henry Cohn, 2025, needs more optimization.
6 728 0.814503288797 Henry Cohn, 2025, needs more optimization.
6 729 0.814572313409 Henry Cohn, 2025, needs more optimization.
6 730 0.814691957205 Henry Cohn, 2025, needs more optimization.
6 731 0.814858462719 Henry Cohn, 2025, needs more optimization.
6 732 0.814951876223 Henry Cohn, 2025, needs more optimization.
6 733 0.815064953607 Henry Cohn, 2025, needs more optimization.
6 734 0.815076327349 Henry Cohn, 2025, needs more optimization.
6 735 0.815129595166 Henry Cohn, 2025, needs more optimization.
6 736 0.815223603952 Henry Cohn, 2025, needs more optimization.
6 737 0.815682757686 Henry Cohn, 2025, needs more optimization.
6 738 0.815693632145 Henry Cohn, 2025, needs more optimization.
6 739 0.815709376578 Henry Cohn, 2025, needs more optimization.
6 740 0.815882493643 Henry Cohn, 2025, needs more optimization.
6 741 0.815898132570 Henry Cohn, 2025, needs more optimization.
6 742 0.816035860658 Henry Cohn, 2025, needs more optimization.
6 743 0.816066086302 Henry Cohn, 2025, needs more optimization.
6 744 0.816074616352 Henry Cohn, 2025, needs more optimization.
6 745 0.816297758800 Henry Cohn, 2025, needs more optimization.
6 746 0.816306449454 Henry Cohn, 2025, needs more optimization.
6 747 0.816592252312 Henry Cohn, 2025, needs more optimization.
6 748 0.816629818356 Henry Cohn, 2025, needs more optimization.
6 749 0.816636310815 Henry Cohn, 2025, needs more optimization.
6 750 0.816872022489 Henry Cohn, 2025, needs more optimization.
6 751 0.816989665616 Henry Cohn, 2025, needs more optimization.
6 752 0.817002892951 Henry Cohn, 2025, needs more optimization.
6 753 0.817252063848 Henry Cohn, 2025, needs more optimization.
6 754 0.817260199019 Henry Cohn, 2025, needs more optimization.
6 755 0.817291262880 Henry Cohn, 2025, needs more optimization.
6 756 0.817442332824 Henry Cohn, 2025, needs more optimization.
6 757 0.817476590341 Henry Cohn, 2025, needs more optimization.
6 758 0.817495919300 Henry Cohn, 2025, needs more optimization.
6 759 0.817679682538 Henry Cohn, 2025, needs more optimization.
6 760 0.817729555896 Henry Cohn, 2025, needs more optimization.
6 761 0.817788754930 Henry Cohn, 2025, needs more optimization.
6 762 0.818009280002 Henry Cohn, 2025, needs more optimization.
6 763 0.818128188438 Henry Cohn, 2025, needs more optimization.
6 764 0.818293733399 Henry Cohn, 2025, needs more optimization.
6 765 0.818387391667 Henry Cohn, 2025, needs more optimization.
6 766 0.818390100651 Henry Cohn, 2025, needs more optimization.
6 767 0.818394454662 Henry Cohn, 2025, needs more optimization.
6 768 0.818596596606 Henry Cohn, 2025, needs more optimization.
6 769 0.818775965803 Henry Cohn, 2025, needs more optimization.
6 770 0.818817263739 Henry Cohn, 2025, needs more optimization.
6 771 0.818923913736 Henry Cohn, 2025, needs more optimization.
6 772 0.818935260055 Henry Cohn, 2025, needs more optimization.
6 773 0.818970769208 Henry Cohn, 2025, needs more optimization.
6 775 0.819131949411 Henry Cohn, 2025, needs more optimization.
6 776 0.819376117471 Henry Cohn, 2025, needs more optimization.
6 777 0.819410314136 Henry Cohn, 2025, needs more optimization.
6 778 0.819549833203 Henry Cohn, 2025, needs more optimization.
6 779 0.819553136272 Henry Cohn, 2025, needs more optimization.
6 780 0.819706093019 Henry Cohn, 2025, needs more optimization.
6 781 0.819710675384 Henry Cohn, 2025, needs more optimization.
6 782 0.819733377953 Henry Cohn, 2025, needs more optimization.
6 783 0.819933707254 Henry Cohn, 2025, needs more optimization.
6 784 0.819962518645 Henry Cohn, 2025, needs more optimization.
6 785 0.820143659869 Henry Cohn, 2025, needs more optimization.
6 786 0.820166268204 Henry Cohn, 2025, needs more optimization.
6 787 0.820194622617 Henry Cohn, 2025, needs more optimization.
6 788 0.820408465700 Henry Cohn, 2025, needs more optimization.
6 789 0.820418485236 Henry Cohn, 2025, needs more optimization.
6 790 0.820544614968 Henry Cohn, 2025, needs more optimization.
6 791 0.820651803885 Henry Cohn, 2025, needs more optimization.
6 792 0.820801732839 Henry Cohn, 2025, needs more optimization.
6 793 0.820847663795 Henry Cohn, 2025, needs more optimization.
6 794 0.820997571967 Henry Cohn, 2025, needs more optimization.
6 795 0.820998941353 Henry Cohn, 2025, needs more optimization.
6 796 0.821019788207 Henry Cohn, 2025, needs more optimization.
6 797 0.821166404592 Henry Cohn, 2025, needs more optimization.
6 798 0.821170503383 Henry Cohn, 2025, needs more optimization.
6 799 0.821271329935 Henry Cohn, 2025, needs more optimization.
6 800 0.821599446854 Henry Cohn, 2025, needs more optimization.
6 801 0.821655585342 Henry Cohn, 2025, needs more optimization.
6 802 0.821671715423 Henry Cohn, 2025, needs more optimization.
6 803 0.821756211477 Henry Cohn, 2025, needs more optimization.
6 804 0.821760609715 Henry Cohn, 2025, needs more optimization.
6 805 0.821921704628 Henry Cohn, 2025, needs more optimization.
6 806 0.821925354397 Henry Cohn, 2025, needs more optimization.
6 807 0.822127138753 Henry Cohn, 2025, needs more optimization.
6 808 0.822137178873 Henry Cohn, 2025, needs more optimization.
6 809 0.822274739568 Henry Cohn, 2025, needs more optimization.
6 810 0.822301474570 Henry Cohn, 2025, needs more optimization.
6 811 0.822381953139 Henry Cohn, 2025, needs more optimization.
6 812 0.822494974276 Henry Cohn, 2025, needs more optimization.
6 813 0.822714297203 Henry Cohn, 2025, needs more optimization.
6 814 0.822719272780 Henry Cohn, 2025, needs more optimization.
6 815 0.822810732997 Henry Cohn, 2025, needs more optimization.
6 816 0.822903642845 Henry Cohn, 2025, needs more optimization.
6 817 0.823003742491 Henry Cohn, 2025, needs more optimization.
6 818 0.823212436533 Henry Cohn, 2025, needs more optimization.
6 819 0.823217536000 Henry Cohn, 2025, needs more optimization.
6 820 0.823229184456 Henry Cohn, 2025, needs more optimization.
6 821 0.823458312032 Henry Cohn, 2025, needs more optimization.
6 822 0.823662012932 Henry Cohn, 2025, needs more optimization.
6 823 0.823663690772 Henry Cohn, 2025, needs more optimization.
6 824 0.823688873115 Henry Cohn, 2025, needs more optimization.
6 825 0.823727831164 Henry Cohn, 2025, needs more optimization.
6 826 0.823995407863 Henry Cohn, 2025, needs more optimization.
6 827 0.823998838954 Henry Cohn, 2025, needs more optimization.
6 828 0.824000742475 Henry Cohn, 2025, needs more optimization.
6 829 0.824088610611 Henry Cohn, 2025, needs more optimization.
6 830 0.824249024252 Henry Cohn, 2025, needs more optimization.
6 831 0.824253060781 Henry Cohn, 2025, needs more optimization.
6 832 0.824407753779 Henry Cohn, 2025, needs more optimization.
6 833 0.824413825655 Henry Cohn, 2025, needs more optimization.
6 834 0.824560460920 Henry Cohn, 2025, needs more optimization.
6 835 0.824562867216 Henry Cohn, 2025, needs more optimization.
6 836 0.824565043044 Henry Cohn, 2025, needs more optimization.
6 837 0.824857490202 Henry Cohn, 2025, needs more optimization.
6 838 0.824860788515 Henry Cohn, 2025, needs more optimization.
6 839 0.824887230614 Henry Cohn, 2025, needs more optimization.
6 840 0.824920182114 Henry Cohn, 2025, needs more optimization.
6 841 0.825001746346 Henry Cohn, 2025, needs more optimization.
6 842 0.825319421071 Henry Cohn, 2025, needs more optimization.
6 843 0.825320807229 Henry Cohn, 2025, needs more optimization.
6 844 0.825333040644 Henry Cohn, 2025, needs more optimization.
6 845 0.825431145892 Henry Cohn, 2025, needs more optimization.
6 846 0.825566867495 Henry Cohn, 2025, needs more optimization.
6 847 0.825579490995 Henry Cohn, 2025, needs more optimization.
6 848 0.825590588138 Henry Cohn, 2025, needs more optimization.
6 849 0.825841722374 Henry Cohn, 2025, needs more optimization.
6 850 0.825860506676 Henry Cohn, 2025, needs more optimization.
6 851 0.825869935608 Henry Cohn, 2025, needs more optimization.
6 852 0.826028940116 Henry Cohn, 2025, needs more optimization.
6 853 0.826141690504 Henry Cohn, 2025, needs more optimization.
6 854 0.826367944834 Henry Cohn, 2025, needs more optimization.
6 855 0.826400472648 Henry Cohn, 2025, needs more optimization.
6 856 0.826419849097 Henry Cohn, 2025, needs more optimization.
6 857 0.826652046639 Henry Cohn, 2025, needs more optimization.
6 858 0.826659628926 Henry Cohn, 2025, needs more optimization.
6 859 0.826689721170 Henry Cohn, 2025, needs more optimization.
6 860 0.826845651322 Henry Cohn, 2025, needs more optimization.
6 861 0.826934499560 Henry Cohn, 2025, needs more optimization.
6 862 0.826936875274 Henry Cohn, 2025, needs more optimization.
6 863 0.827096118447 Henry Cohn, 2025, needs more optimization.
6 864 0.827175689596 Henry Cohn, 2025, needs more optimization.
6 865 0.827302665971 Henry Cohn, 2025, needs more optimization.
6 867 0.827303375728 Henry Cohn, 2025, needs more optimization.
6 868 0.827407492291 Henry Cohn, 2025, needs more optimization.
6 869 0.827546076404 Henry Cohn, 2025, needs more optimization.
6 870 0.827592236984 Henry Cohn, 2025, needs more optimization.
6 871 0.827597158369 Henry Cohn, 2025, needs more optimization.
6 872 0.827859399326 Henry Cohn, 2025, needs more optimization.
6 873 0.827859692805 Henry Cohn, 2025, needs more optimization.
6 875 0.827870079134 Henry Cohn, 2025, needs more optimization.
6 876 0.827872676474 Henry Cohn, 2025, needs more optimization.
6 877 0.827874143578 Henry Cohn, 2025, needs more optimization.
6 878 0.828013879401 Henry Cohn, 2025, needs more optimization.
6 879 0.828020512230 Henry Cohn, 2025, needs more optimization.
6 881 0.828046955944 Henry Cohn, 2025, needs more optimization.
6 882 0.828065628470 Henry Cohn, 2025, needs more optimization.
6 883 0.828099087083 Henry Cohn, 2025, needs more optimization.
6 884 0.828220136031 Henry Cohn, 2025, needs more optimization.
6 885 0.828341217108 Henry Cohn, 2025, needs more optimization.
6 886 0.828370378738 Henry Cohn, 2025, needs more optimization.
6 887 0.828500110788 Henry Cohn, 2025, needs more optimization.
6 888 0.828534528571 Henry Cohn, 2025, needs more optimization.
6 890 0.828644258996 Henry Cohn, 2025, needs more optimization.
6 891 0.828695697577 Henry Cohn, 2025, needs more optimization.
6 894 0.828885464232 Henry Cohn, 2025, needs more optimization.
6 895 0.828944057244 Henry Cohn, 2025, needs more optimization.
6 896 0.828944621726 Henry Cohn, 2025, needs more optimization.
6 897 0.829140202323 Henry Cohn, 2025, needs more optimization.
6 898 0.829142880376 Henry Cohn, 2025, needs more optimization.
6 899 0.829153915719 Henry Cohn, 2025, needs more optimization.
6 900 0.829419899393 Henry Cohn, 2025, needs more optimization.
6 902 0.829427787011 Henry Cohn, 2025, needs more optimization.
6 903 0.829633241880 Henry Cohn, 2025, needs more optimization.
6 904 0.829638954304 Henry Cohn, 2025, needs more optimization.
6 905 0.829701077326 Henry Cohn, 2025, needs more optimization.
6 906 0.829812045947 Henry Cohn, 2025, needs more optimization.
6 907 0.829817198209 Henry Cohn, 2025, needs more optimization.
6 908 0.829818655010 Henry Cohn, 2025, needs more optimization.
6 910 0.830027680745 Henry Cohn, 2025, needs more optimization.
6 911 0.830065610631 Henry Cohn, 2025, needs more optimization.
6 912 0.830115210554 Henry Cohn, 2025, needs more optimization.
6 913 0.830240947898 Henry Cohn, 2025, needs more optimization.
6 914 0.830242519417 Henry Cohn, 2025, needs more optimization.
6 915 0.830524885412 Henry Cohn, 2025, needs more optimization.
6 917 0.830527776902 Henry Cohn, 2025, needs more optimization.
6 918 0.830537149339 Henry Cohn, 2025, needs more optimization.
6 919 0.830540435884 Henry Cohn, 2025, needs more optimization.
6 921 0.830738180489 Henry Cohn, 2025, needs more optimization.
6 922 0.830829231774 Henry Cohn, 2025, needs more optimization.
6 923 0.830840743540 Henry Cohn, 2025, needs more optimization.
6 924 0.830903757700 Henry Cohn, 2025, needs more optimization.
6 925 0.830906862451 Henry Cohn, 2025, needs more optimization.
6 926 0.830908268155 Henry Cohn, 2025, needs more optimization.
6 929 0.831287055099 Henry Cohn, 2025, needs more optimization.
6 930 0.831326342580 Henry Cohn, 2025, needs more optimization.
6 932 0.831477841458 Henry Cohn, 2025, needs more optimization.
6 935 0.831519131169 Henry Cohn, 2025, needs more optimization.
6 936 0.831530353959 Henry Cohn, 2025, needs more optimization.
6 937 0.831654977354 Henry Cohn, 2025, needs more optimization.
6 938 0.831657240242 Henry Cohn, 2025, needs more optimization.
6 941 0.831803415016 Henry Cohn, 2025, needs more optimization.
6 942 0.831878834746 Henry Cohn, 2025, needs more optimization.
6 946 0.832025283828 Henry Cohn, 2025, needs more optimization.
6 947 0.832038015695 Henry Cohn, 2025, needs more optimization.
6 948 0.832138138234 Henry Cohn, 2025, needs more optimization.
6 950 0.832159838275 Henry Cohn, 2025, needs more optimization.
6 951 0.832302433696 Henry Cohn, 2025, needs more optimization.
6 952 0.832314420039 Henry Cohn, 2025, needs more optimization.
6 953 0.832321558504 Henry Cohn, 2025, needs more optimization.
6 954 0.832417866581 Henry Cohn, 2025, needs more optimization.
6 956 0.832434719680 Henry Cohn, 2025, needs more optimization.
6 957 0.832443618756 Henry Cohn, 2025, needs more optimization.
6 958 0.832594275547 Henry Cohn, 2025, needs more optimization.
6 959 0.832608439140 Henry Cohn, 2025, needs more optimization.
6 960 0.832608515714 Henry Cohn, 2025, needs more optimization.
6 961 0.832627120733 Henry Cohn, 2025, needs more optimization.
6 965 0.832786351085 Henry Cohn, 2025, needs more optimization.
6 966 0.832913506792 Henry Cohn, 2025, needs more optimization.
6 967 0.832916251513 Henry Cohn, 2025, needs more optimization.
6 968 0.832919231077 Henry Cohn, 2025, needs more optimization.
6 969 0.832924219861 Henry Cohn, 2025, 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
6 991 0.836124501402 Henry Cohn, 2025, needs more optimization.
6 992 0.836347039904 Henry Cohn, 2025, needs more optimization.
6 993 0.836365663324 Henry Cohn, 2025, needs more optimization.
6 995 0.836413523076 Henry Cohn, 2025, needs more optimization.
6 996 0.836586134983 Henry Cohn, 2025, needs more optimization.
6 997 0.836736628884 Henry Cohn, 2025, needs more optimization.
6 998 0.836764173045 Henry Cohn, 2025, needs more optimization.
6 999 0.836916042999 Henry Cohn, 2025, needs more optimization.
6 1000 0.836923372778 Henry Cohn, 2025, needs more optimization.
6 1001 0.836925204009 Henry Cohn, 2025, needs more optimization.
6 1002 0.836954720379 Henry Cohn, 2025, needs more optimization.
6 1003 0.837125880619 Henry Cohn, 2025, needs more optimization.
6 1004 0.837133853865 Henry Cohn, 2025, needs more optimization.
6 1005 0.837382572132 Henry Cohn, 2025, needs more optimization.
6 1006 0.837386295216 Henry Cohn, 2025, needs more optimization.
6 1007 0.837391864929 Henry Cohn, 2025, needs more optimization.
6 1008 0.837396612891 Henry Cohn, 2025, needs more optimization.
6 1009 0.837522537170 Henry Cohn, 2025, needs more optimization.
6 1010 0.837636537050 Henry Cohn, 2025, needs more optimization.
6 1012 0.837680327183 Henry Cohn, 2025, needs more optimization.
6 1013 0.837809183769 Henry Cohn, 2025, needs more optimization.
6 1014 0.837817927547 Henry Cohn, 2025, needs more optimization.
6 1015 0.837940910005 Henry Cohn, 2025, needs more optimization.
6 1016 0.837946894777 Henry Cohn, 2025, needs more optimization.
6 1017 0.837967716106 Henry Cohn, 2025, needs more optimization.
6 1018 0.838157882710 Henry Cohn, 2025, needs more optimization.
6 1019 0.838161452587 Henry Cohn, 2025, needs more optimization.
6 1021 0.838343837452 Henry Cohn, 2025, needs more optimization.
6 1022 0.838432480085 Henry Cohn, 2025, needs more optimization.
6 1023 0.838513425608 Henry Cohn, 2025, needs more optimization.
6 1024 0.838626864601 Henry Cohn, 2025, 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 0.248933041753 H. Cohn, Small spherical and projective codes, data set, updated 2024, 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 0.310458216163 Henry Cohn, 2025.
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, needs more optimization.
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 0.333262922126 Henry Cohn, 2025, needs more optimization.
7 46 0.333318921658 Henry Cohn, 2025.
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 0.389641444532 Henry Cohn, 2025.
7 58 0.393749423280 Henry Cohn, 2023.
7 59 0.403217495108 Henry Cohn, 2025.
7 60 0.407983549048 Henry Cohn, 2023.
7 61 0.412356098716 Henry Cohn, 2024.
7 62 0.415088193817 Henry Cohn, 2025.
7 63 0.415613253520 Henry Cohn, 2025.
7 64 0.420204190501 Henry Cohn, 2025.
7 67 0.421258543571 Henry Cohn, 2024.
622⁢x3−771⁢x2+288⁢x−31
7 68 0.428438543151 Henry Cohn, 2024.
7 78 0.428571428572 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001, Appendix D.7.9. There seems to be an error in Appendix D.7: it lists the code as having 80 points, but the construction describes only 78 points.
7⁢x−3
7 79 0.453278412444 Henry Cohn, 2024.
7 80 0.453887992064 Henry Cohn, 2024.
7 81 0.459721836628 Henry Cohn, 2024.
7 82 0.461281986472 Henry Cohn, 2024.
7 83 0.461669205843 Henry Cohn, 2024.
7 84 0.465073032663 Henry Cohn, 2025.
7 86 0.468426723770 Henry Cohn, 2024.
7 87 0.469578821552 Henry Cohn, 2024.
7 88 0.473067267884 Henry Cohn, 2024.
7 89 0.474988257844 Henry Cohn, 2024.
7 90 0.475294477919 Henry Cohn, 2024.
7 91 0.482565223593 Henry Cohn, 2025, needs more optimization.
7 93 0.485633444250 Henry Cohn, 2025.
7 94 0.486294713971 Henry Cohn, 2025.
7 95 0.486823681366 Henry Cohn, 2025, needs more optimization.
7 96 0.489128925465 Henry Cohn, 2025.
7 97 0.494846271151 Henry Cohn, 2025.
7 98 0.499292655235 Henry Cohn, 2025, 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 0.511248407917 Henry Cohn, 2023.
1875⁢x9−27025⁢x8−9900⁢x7+10500⁢x6+14418⁢x5+4698⁢x4−3564⁢x3−1404⁢x2+243⁢x−81
7 128 0.518388200193 Henry Cohn, 2025, needs more optimization.
7 129 0.519163695355 Henry Cohn, 2025.
7 130 0.519163776671 Henry Cohn, 2025, needs more optimization.
7 134 0.519751518195 Henry Cohn, 2024.
7 135 0.519868360534 Henry Cohn, 2025, needs more optimization.
7 136 0.520104626378 Henry Cohn, 2024, needs more optimization.
7 137 0.520112926332 Henry Cohn, 2024, needs more optimization.
7 138 0.527218738805 Henry Cohn, 2025.
7 139 0.531666456750 Henry Cohn, 2024, needs more optimization.
7 140 0.531667726797 Henry Cohn, 2024, needs more optimization.
7 142 0.531823100330 Henry Cohn, 2024.
7 143 0.532391622875 Henry Cohn, 2025.
7 144 0.532532803692 Henry Cohn, 2024.
7 145 0.532883690322 Henry Cohn, 2024.
7 146 0.533294143823 Henry Cohn, 2025.
7 147 0.533479772596 Henry Cohn, 2024.
7 148 0.534209256490 Henry Cohn, 2023.
49⁢x4−10⁢x2−4⁢x+1
7 149 0.547476575235 Henry Cohn, 2025, needs more optimization.
7 150 0.547477426144 Henry Cohn, 2025, needs more optimization.
7 151 0.547644839664 Henry Cohn, 2024.
7 152 0.547646622951 Henry Cohn, 2025, needs more optimization.
7 153 0.548967199685 Henry Cohn, 2025, needs more optimization.
7 154 0.550569116736 Henry Cohn, 2025, needs more optimization.
7 155 0.555881821313 Henry Cohn, 2025, needs more optimization.
7 157 0.557027209221 Henry Cohn, 2025, needs more optimization.
7 158 0.560353560927 Henry Cohn, 2025, needs more optimization.
7 161 0.561645856255 Henry Cohn, 2025, needs more optimization.
7 162 0.561820095490 Henry Cohn, 2025, needs more optimization.
7 163 0.563653177243 Henry Cohn, 2025, needs more optimization.
7 164 0.563696348510 Henry Cohn, 2025, needs more optimization.
7 166 0.564235340869 Henry Cohn, 2025, needs more optimization.
7 168 0.564268955397 Henry Cohn, 2025, needs more optimization.
7 169 0.569918759905 Henry Cohn, 2025, needs more optimization.
7 170 0.569928714040 Henry Cohn, 2025, needs more optimization.
7 171 0.570426139136 Henry Cohn, 2024, needs more optimization.
7 172 0.570484508469 Henry Cohn, 2024, needs more optimization.
7 173 0.570491186346 Henry Cohn, 2024, needs more optimization.
7 174 0.571646493655 Henry Cohn, 2024, needs more optimization.
7 175 0.571964146780 Henry Cohn, 2024, needs more optimization.
7 176 0.571975305781 Henry Cohn, 2024, needs more optimization.
7 177 0.572133679517 Henry Cohn, 2024, needs more optimization.
7 178 0.572352072992 Henry Cohn, 2024, needs more optimization.
7 179 0.572419645219 Henry Cohn, 2024, needs more optimization.
7 180 0.572866503409 Henry Cohn, 2024, needs more optimization.
7 181 0.573146880912 Henry Cohn, 2024, 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 0.589031450236 Henry Cohn, 2025, needs more optimization.
7 184 0.590395029876 Henry Cohn, 2024, needs more optimization.
7 185 0.592031258395 Henry Cohn, 2024, needs more optimization.
7 186 0.592612016124 Henry Cohn, 2025, needs more optimization.
7 187 0.593993835751 Henry Cohn, 2025, needs more optimization.
7 188 0.594044098991 Henry Cohn, 2023, needs more optimization.
7 190 0.594826599979 Henry Cohn, 2025, needs more optimization.
7 191 0.594827112265 Henry Cohn, 2025, needs more optimization.
7 192 0.596206334481 Henry Cohn, 2024, needs more optimization.
7 193 0.599330079987 Henry Cohn, 2024, needs more optimization.
7 194 0.599360499965 Henry Cohn, 2024, needs more optimization.
7 195 0.601540224587 Henry Cohn, 2024, needs more optimization.
7 196 0.601793608585 Henry Cohn, 2024, needs more optimization.
7 197 0.603777504860 Henry Cohn, 2025, needs more optimization.
7 198 0.604006862944 Henry Cohn, 2024, needs more optimization.
7 199 0.605261083349 Henry Cohn, 2024, needs more optimization.
7 200 0.605866105540 Henry Cohn, 2024, needs more optimization.
7 201 0.607635905737 Henry Cohn, 2025, needs more optimization.
7 202 0.607806970763 Henry Cohn, 2025, needs more optimization.
7 203 0.608324827470 Henry Cohn, 2025, needs more optimization.
7 204 0.609417002285 Henry Cohn, 2024, needs more optimization.
7 205 0.611260863785 Henry Cohn, 2024, needs more optimization.
7 206 0.611945534082 Henry Cohn, 2024, needs more optimization.
7 207 0.612727397745 Henry Cohn, 2024, needs more optimization.
7 208 0.613448534998 Henry Cohn, 2024, needs more optimization.
7 209 0.614590794819 Henry Cohn, 2024, needs more optimization.
7 210 0.614894346303 Henry Cohn, 2024, needs more optimization.
7 211 0.616021679004 Henry Cohn, 2024, needs more optimization.
7 212 0.616440614340 Henry Cohn, 2024, needs more optimization.
7 213 0.617073701156 Henry Cohn, 2024, needs more optimization.
7 214 0.618477116291 Henry Cohn, 2025, needs more optimization.
7 215 0.619475011483 Henry Cohn, 2024, needs more optimization.
7 216 0.619599983206 Henry Cohn, 2024, needs more optimization.
7 217 0.620628900569 Henry Cohn, 2024, needs more optimization.
7 218 0.621368072363 Henry Cohn, 2024, needs more optimization.
7 219 0.621976267786 Henry Cohn, 2024, needs more optimization.
7 220 0.622604993923 Henry Cohn, 2024, needs more optimization.
7 221 0.624023095035 Henry Cohn, 2024, needs more optimization.
7 222 0.624615364020 Henry Cohn, 2024, needs more optimization.
7 223 0.625218440392 Henry Cohn, 2024, needs more optimization.
7 224 0.625389348023 Henry Cohn, 2024, needs more optimization.
7 225 0.625872966956 Henry Cohn, 2024, needs more optimization.
7 226 0.627448261170 Henry Cohn, 2024, needs more optimization.
7 227 0.628342740769 Henry Cohn, 2024, needs more optimization.
7 228 0.628556042731 Henry Cohn, 2024, needs more optimization.
7 229 0.629525364974 Henry Cohn, 2024, needs more optimization.
7 230 0.630264678870 Henry Cohn, 2024, needs more optimization.
7 231 0.630549078404 Henry Cohn, 2024, needs more optimization.
7 232 0.631248222170 Henry Cohn, 2024, needs more optimization.
7 233 0.631901836958 Henry Cohn, 2024, needs more optimization.
7 234 0.632643043718 Henry Cohn, 2024, needs more optimization.
7 235 0.633282013602 Henry Cohn, 2024, needs more optimization.
7 236 0.633943127321 Henry Cohn, 2024, needs more optimization.
7 237 0.634380828579 Henry Cohn, 2024, needs more optimization.
7 238 0.634781311206 Henry Cohn, 2024, needs more optimization.
7 239 0.635356766795 Henry Cohn, 2024, needs more optimization.
7 240 0.635677240819 Henry Cohn, 2024, needs more optimization.
7 241 0.636614389125 Henry Cohn, 2024, needs more optimization.
7 242 0.636965575506 Henry Cohn, 2024, needs more optimization.
7 243 0.637513507990 Henry Cohn, 2024, needs more optimization.
7 244 0.638074677610 Henry Cohn, 2024, needs more optimization.
7 245 0.638592844169 Henry Cohn, 2025, needs more optimization.
7 246 0.638772799674 Henry Cohn, 2025, needs more optimization.
7 247 0.639347723126 Henry Cohn, 2025, needs more optimization.
7 248 0.640032835036 Henry Cohn, 2024, needs more optimization.
7 249 0.640408857728 Henry Cohn, 2025, needs more optimization.
7 250 0.640982436344 Henry Cohn, 2025, needs more optimization.
7 251 0.641160210182 Henry Cohn, 2025, needs more optimization.
7 252 0.641653667273 Henry Cohn, 2025, needs more optimization.
7 253 0.641879425965 Henry Cohn, 2025, needs more optimization.
7 254 0.642941750288 Henry Cohn, 2025, needs more optimization.
7 255 0.643269607048 Henry Cohn, 2025, needs more optimization.
7 256 0.643614466517 Henry Cohn, 2025, needs more optimization.
7 257 0.644831221678 Henry Cohn, 2025, needs more optimization.
7 258 0.644946638331 Henry Cohn, 2025, needs more optimization.
7 259 0.645940042144 Henry Cohn, 2025, needs more optimization.
7 260 0.646260132952 Henry Cohn, 2025, needs more optimization.
7 261 0.646470648629 Henry Cohn, 2025, needs more optimization.
7 262 0.646980802386 Henry Cohn, 2025, needs more optimization.
7 263 0.647712701632 Henry Cohn, 2025, needs more optimization.
7 264 0.648140881788 Henry Cohn, 2025, needs more optimization.
7 265 0.648285261376 Henry Cohn, 2025, needs more optimization.
7 266 0.648925466490 Henry Cohn, 2025, needs more optimization.
7 267 0.649303254437 Henry Cohn, 2025, needs more optimization.
7 268 0.649484032054 Henry Cohn, 2025, needs more optimization.
7 269 0.650105336418 Henry Cohn, 2025, needs more optimization.
7 270 0.650228016855 Henry Cohn, 2025, needs more optimization.
7 271 0.650867195083 Henry Cohn, 2025, needs more optimization.
7 272 0.650872965179 Henry Cohn, 2025, needs more optimization.
7 273 0.651436450382 Henry Cohn, 2025, needs more optimization.
7 274 0.651762258449 Henry Cohn, 2025, needs more optimization.
7 275 0.652335151370 Henry Cohn, 2025, needs more optimization.
7 276 0.652816200390 Henry Cohn, 2025, needs more optimization.
7 277 0.653175436441 Henry Cohn, 2025, needs more optimization.
7 278 0.653970223293 Henry Cohn, 2025, needs more optimization.
7 279 0.654145018500 Henry Cohn, 2025, needs more optimization.
7 280 0.654394272358 Henry Cohn, 2025, needs more optimization.
7 281 0.655023708567 Henry Cohn, 2025, needs more optimization.
7 282 0.655071481483 Henry Cohn, 2025, needs more optimization.
7 283 0.655825627729 Henry Cohn, 2025, needs more optimization.
7 284 0.656006744611 Henry Cohn, 2025, needs more optimization.
7 285 0.656616483779 Henry Cohn, 2025, needs more optimization.
7 286 0.657229638152 Henry Cohn, 2025, needs more optimization.
7 287 0.657585714329 Henry Cohn, 2025, needs more optimization.
7 288 0.657887304326 Henry Cohn, 2025, needs more optimization.
7 289 0.658167948968 Henry Cohn, 2025, needs more optimization.
7 290 0.658681912756 Henry Cohn, 2025, needs more optimization.
7 291 0.659281542523 Henry Cohn, 2025, needs more optimization.
7 292 0.659665870941 Henry Cohn, 2025, needs more optimization.
7 293 0.660301046891 Henry Cohn, 2025, needs more optimization.
7 294 0.660436818629 Henry Cohn, 2025, needs more optimization.
7 295 0.661087877133 Henry Cohn, 2025, needs more optimization.
7 296 0.661234446425 Henry Cohn, 2025, needs more optimization.
7 297 0.661248245899 Henry Cohn, 2025, needs more optimization.
7 298 0.662201994059 Henry Cohn, 2025, needs more optimization.
7 299 0.662458968759 Henry Cohn, 2025, needs more optimization.
7 300 0.662970253780 Henry Cohn, 2025, needs more optimization.
7 301 0.663480479645 Henry Cohn, 2025, needs more optimization.
7 302 0.663759454150 Henry Cohn, 2025, needs more optimization.
7 303 0.663999926015 Henry Cohn, 2025, needs more optimization.
7 304 0.664611414830 Henry Cohn, 2025, needs more optimization.
7 305 0.664628042274 Henry Cohn, 2025, needs more optimization.
7 306 0.665587647762 Henry Cohn, 2025, needs more optimization.
7 307 0.665702963255 Henry Cohn, 2025, needs more optimization.
7 308 0.666037244322 Henry Cohn, 2025, 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 0.679001131719 Henry Cohn, 2025, needs more optimization.
7 360 0.679009560594 Henry Cohn, 2025, needs more optimization.
7 361 0.679150394102 Henry Cohn, 2025, needs more optimization.
7 362 0.679184372775 Henry Cohn, 2025, needs more optimization.
7 363 0.679965304031 Henry Cohn, 2025, needs more optimization.
7 364 0.680183849993 Henry Cohn, 2025, needs more optimization.
7 365 0.681256753258 Henry Cohn, 2025, needs more optimization.
7 367 0.681354663925 Henry Cohn, 2025, needs more optimization.
7 369 0.681398325176 Henry Cohn, 2025, needs more optimization.
7 370 0.682385116333 Henry Cohn, 2025, needs more optimization.
7 371 0.683212213884 Henry Cohn, 2025, needs more optimization.
7 372 0.683534735479 Henry Cohn, 2025, needs more optimization.
7 373 0.684484798367 Henry Cohn, 2025, needs more optimization.
7 374 0.684517027312 Henry Cohn, 2025, needs more optimization.
7 375 0.685257931964 Henry Cohn, 2025, needs more optimization.
7 376 0.685484561001 Henry Cohn, 2025, needs more optimization.
7 377 0.685508480080 Henry Cohn, 2025, needs more optimization.
7 378 0.685611071968 Henry Cohn, 2025, needs more optimization.
7 379 0.685650991012 Henry Cohn, 2025, needs more optimization.
7 380 0.685746686093 Henry Cohn, 2025, needs more optimization.
7 381 0.686334647944 Henry Cohn, 2025, needs more optimization.
7 382 0.686386835258 Henry Cohn, 2025, needs more optimization.
7 383 0.686393676083 Henry Cohn, 2025, needs more optimization.
7 384 0.686615632647 Henry Cohn, 2025, needs more optimization.
7 385 0.686701627796 Henry Cohn, 2025, needs more optimization.
7 386 0.686825190425 Henry Cohn, 2025, needs more optimization.
7 387 0.687122913861 Henry Cohn, 2025, needs more optimization.
7 388 0.687147670802 Henry Cohn, 2025, needs more optimization.
7 389 0.687226631583 Henry Cohn, 2025, needs more optimization.
7 390 0.687380503673 Henry Cohn, 2025, needs more optimization.
7 391 0.687753281971 Henry Cohn, 2025, needs more optimization.
7 392 0.687889018984 Henry Cohn, 2025, needs more optimization.
7 393 0.688091518665 Henry Cohn, 2025, needs more optimization.
7 394 0.688113767701 Henry Cohn, 2025, needs more optimization.
7 395 0.688154659025 Henry Cohn, 2025, needs more optimization.
7 396 0.688213389604 Henry Cohn, 2025, needs more optimization.
7 397 0.688903306677 Henry Cohn, 2025, needs more optimization.
7 398 0.689349369316 Henry Cohn, 2025, needs more optimization.
7 399 0.689407827442 Henry Cohn, 2025, needs more optimization.
7 400 0.689514734917 Henry Cohn, 2025, needs more optimization.
7 401 0.689903038637 Henry Cohn, 2025, needs more optimization.
7 402 0.690238178252 Henry Cohn, 2025, needs more optimization.
7 403 0.690266456094 Henry Cohn, 2025, needs more optimization.
7 404 0.690357433404 Henry Cohn, 2025, needs more optimization.
7 405 0.690584696620 Henry Cohn, 2025, needs more optimization.
7 406 0.690932444651 Henry Cohn, 2025, needs more optimization.
7 407 0.691690362458 Henry Cohn, 2025, needs more optimization.
7 408 0.692266289025 Henry Cohn, 2025, needs more optimization.
7 409 0.692332039010 Henry Cohn, 2025, needs more optimization.
7 410 0.692414746541 Henry Cohn, 2025, needs more optimization.
7 411 0.692787928477 Henry Cohn, 2025, needs more optimization.
7 412 0.692971783842 Henry Cohn, 2025, needs more optimization.
7 413 0.693125695547 Henry Cohn, 2025, needs more optimization.
7 414 0.693154749248 Henry Cohn, 2025, needs more optimization.
7 415 0.693162668354 Henry Cohn, 2025, needs more optimization.
7 416 0.694123742176 Henry Cohn, 2025, needs more optimization.
7 417 0.694287009188 Henry Cohn, 2025, needs more optimization.
7 418 0.694523585349 Henry Cohn, 2025, needs more optimization.
7 419 0.694828652955 Henry Cohn, 2025, needs more optimization.
7 420 0.695128563933 Henry Cohn, 2025, needs more optimization.
7 421 0.695130508518 Henry Cohn, 2025, needs more optimization.
7 422 0.695176221166 Henry Cohn, 2025, needs more optimization.
7 423 0.695830132382 Henry Cohn, 2025, needs more optimization.
7 424 0.695880985033 Henry Cohn, 2025, needs more optimization.
7 425 0.696154846704 Henry Cohn, 2025, needs more optimization.
7 426 0.696220870137 Henry Cohn, 2025, needs more optimization.
7 427 0.696335833512 Henry Cohn, 2025, needs more optimization.
7 428 0.696918791454 Henry Cohn, 2025, needs more optimization.
7 429 0.696957305399 Henry Cohn, 2025, needs more optimization.
7 430 0.697024460578 Henry Cohn, 2025, needs more optimization.
7 431 0.697198226158 Henry Cohn, 2025, needs more optimization.
7 432 0.697758355591 Henry Cohn, 2025, needs more optimization.
7 433 0.698080902219 Henry Cohn, 2025, needs more optimization.
7 435 0.698129161773 Henry Cohn, 2025, needs more optimization.
7 436 0.698132646900 Henry Cohn, 2025, needs more optimization.
7 438 0.698768530471 Henry Cohn, 2025, needs more optimization.
7 439 0.699057471161 Henry Cohn, 2025, needs more optimization.
7 440 0.699564497374 Henry Cohn, 2025, needs more optimization.
7 441 0.699943203888 Henry Cohn, 2025, needs more optimization.
7 442 0.700293285076 Henry Cohn, 2025, needs more optimization.
7 444 0.700938073780 Henry Cohn, 2025, needs more optimization.
7 445 0.700946567027 Henry Cohn, 2025, needs more optimization.
7 446 0.700962130467 Henry Cohn, 2025, needs more optimization.
7 447 0.701190449341 Henry Cohn, 2025, needs more optimization.
7 448 0.701776571024 Henry Cohn, 2025, needs more optimization.
7 449 0.702022842893 Henry Cohn, 2025, needs more optimization.
7 450 0.702810548686 Henry Cohn, 2025, needs more optimization.
7 451 0.703092012494 Henry Cohn, 2025, needs more optimization.
7 452 0.703562358713 Henry Cohn, 2025, needs more optimization.
7 453 0.703582906047 Henry Cohn, 2025, needs more optimization.
7 454 0.703590992781 Henry Cohn, 2025, needs more optimization.
7 455 0.703646141098 Henry Cohn, 2025, needs more optimization.
7 458 0.704114722772 Henry Cohn, 2025, needs more optimization.
7 459 0.704603392874 Henry Cohn, 2025, needs more optimization.
7 460 0.704708114405 Henry Cohn, 2025, needs more optimization.
7 462 0.705056506687 Henry Cohn, 2025, needs more optimization.
7 463 0.705379494979 Henry Cohn, 2025, needs more optimization.
7 464 0.705388063719 Henry Cohn, 2025, needs more optimization.
7 465 0.705399208446 Henry Cohn, 2025, needs more optimization.
7 466 0.705777475305 Henry Cohn, 2025, needs more optimization.
7 467 0.705859692358 Henry Cohn, 2025, needs more optimization.
7 468 0.705880893451 Henry Cohn, 2025, needs more optimization.
7 469 0.706156688523 Henry Cohn, 2025, needs more optimization.
7 470 0.706178346635 Henry Cohn, 2025, needs more optimization.
7 472 0.706329190915 Henry Cohn, 2025, needs more optimization.
7 473 0.706511335540 Henry Cohn, 2025, needs more optimization.
7 474 0.706718336008 Henry Cohn, 2025, needs more optimization.
7 475 0.707007270167 Henry Cohn, 2025, needs more optimization.
7 476 0.707415911476 Henry Cohn, 2025, needs more optimization.
7 477 0.707552845511 Henry Cohn, 2025, needs more optimization.
7 478 0.707833214451 Henry Cohn, 2025, needs more optimization.
7 480 0.708104351087 Henry Cohn, 2025, needs more optimization.
7 481 0.708128553147 Henry Cohn, 2025, needs more optimization.
7 482 0.708138492685 Henry Cohn, 2025, needs more optimization.
7 483 0.708470249027 Henry Cohn, 2025, needs more optimization.
7 484 0.708619096622 Henry Cohn, 2025, needs more optimization.
7 485 0.709067682395 Henry Cohn, 2025, needs more optimization.
7 486 0.709252009963 Henry Cohn, 2025, needs more optimization.
7 488 0.709366322090 Henry Cohn, 2025, needs more optimization.
7 489 0.709611028849 Henry Cohn, 2025, needs more optimization.
7 490 0.709622869328 Henry Cohn, 2025, needs more optimization.
7 491 0.709637726582 Henry Cohn, 2025, needs more optimization.
7 492 0.709697590035 Henry Cohn, 2025, needs more optimization.
7 493 0.709813534115 Henry Cohn, 2025, needs more optimization.
7 494 0.710066038638 Henry Cohn, 2025, needs more optimization.
7 495 0.710412319099 Henry Cohn, 2025, needs more optimization.
7 497 0.710784652717 Henry Cohn, 2025, needs more optimization.
7 498 0.710836088114 Henry Cohn, 2025, needs more optimization.
7 499 0.710840087507 Henry Cohn, 2025, needs more optimization.
7 500 0.711206032341 Henry Cohn, 2025, needs more optimization.
7 501 0.711516866033 Henry Cohn, 2025, needs more optimization.
7 503 0.711942426699 Henry Cohn, 2025, needs more optimization.
7 504 0.711980260656 Henry Cohn, 2025, needs more optimization.
7 505 0.712038532836 Henry Cohn, 2025, needs more optimization.
7 506 0.713024953364 Henry Cohn, 2025, 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 0.738212208737 Henry Cohn, 2025, needs more optimization.
7 634 0.738290846780 Henry Cohn, 2025, needs more optimization.
7 635 0.738514957398 Henry Cohn, 2025, needs more optimization.
7 636 0.738700631317 Henry Cohn, 2025, needs more optimization.
7 638 0.738810338160 Henry Cohn, 2025, needs more optimization.
7 639 0.739207318500 Henry Cohn, 2025, needs more optimization.
7 640 0.739418033028 Henry Cohn, 2025, needs more optimization.
7 641 0.739510347429 Henry Cohn, 2025, needs more optimization.
7 642 0.739557467245 Henry Cohn, 2025, needs more optimization.
7 643 0.739677329979 Henry Cohn, 2025, needs more optimization.
7 644 0.739935385449 Henry Cohn, 2025, needs more optimization.
7 645 0.740064600211 Henry Cohn, 2025, needs more optimization.
7 647 0.740092985796 Henry Cohn, 2025, needs more optimization.
7 648 0.740196705783 Henry Cohn, 2025, needs more optimization.
7 649 0.740485861272 Henry Cohn, 2025, needs more optimization.
7 650 0.740489698240 Henry Cohn, 2025, needs more optimization.
7 651 0.740776270368 Henry Cohn, 2025, needs more optimization.
7 652 0.740795119630 Henry Cohn, 2025, needs more optimization.
7 653 0.740853998009 Henry Cohn, 2025, needs more optimization.
7 654 0.741007859949 Henry Cohn, 2025, needs more optimization.
7 655 0.741108984239 Henry Cohn, 2025, needs more optimization.
7 656 0.741266212351 Henry Cohn, 2025, needs more optimization.
7 657 0.741584676431 Henry Cohn, 2025, needs more optimization.
7 658 0.741588775011 Henry Cohn, 2025, needs more optimization.
7 659 0.741791365530 Henry Cohn, 2025, needs more optimization.
7 660 0.741797653020 Henry Cohn, 2025, needs more optimization.
7 661 0.742249283144 Henry Cohn, 2025, needs more optimization.
7 662 0.742253219354 Henry Cohn, 2025, needs more optimization.
7 663 0.742720226175 Henry Cohn, 2025, needs more optimization.
7 664 0.742758591108 Henry Cohn, 2025, needs more optimization.
7 665 0.742766297023 Henry Cohn, 2025, needs more optimization.
7 666 0.742809012608 Henry Cohn, 2025, needs more optimization.
7 667 0.743019244916 Henry Cohn, 2025, needs more optimization.
7 668 0.743127226988 Henry Cohn, 2025, needs more optimization.
7 669 0.743464408463 Henry Cohn, 2025, needs more optimization.
7 670 0.743468933950 Henry Cohn, 2025, needs more optimization.
7 671 0.743614433987 Henry Cohn, 2025, needs more optimization.
7 672 0.743767333718 Henry Cohn, 2025, needs more optimization.
7 673 0.743822788935 Henry Cohn, 2025, needs more optimization.
7 674 0.744018818012 Henry Cohn, 2025, needs more optimization.
7 675 0.744115543873 Henry Cohn, 2025, needs more optimization.
7 676 0.744122647767 Henry Cohn, 2025, needs more optimization.
7 677 0.744214110035 Henry Cohn, 2025, needs more optimization.
7 678 0.744328612114 Henry Cohn, 2025, needs more optimization.
7 679 0.744583713874 Henry Cohn, 2025, needs more optimization.
7 680 0.744715984772 Henry Cohn, 2025, needs more optimization.
7 682 0.745009803213 Henry Cohn, 2025, needs more optimization.
7 683 0.745055262785 Henry Cohn, 2025, needs more optimization.
7 684 0.745059514870 Henry Cohn, 2025, needs more optimization.
7 685 0.745265338477 Henry Cohn, 2025, needs more optimization.
7 686 0.745382084676 Henry Cohn, 2025, needs more optimization.
7 687 0.745383341663 Henry Cohn, 2025, needs more optimization.
7 688 0.745567673171 Henry Cohn, 2025, needs more optimization.
7 689 0.745734483386 Henry Cohn, 2025, needs more optimization.
7 690 0.746062644359 Henry Cohn, 2025, needs more optimization.
7 691 0.746134729202 Henry Cohn, 2025, needs more optimization.
7 692 0.746182295167 Henry Cohn, 2025, needs more optimization.
7 693 0.746191941399 Henry Cohn, 2025, needs more optimization.
7 694 0.746433240393 Henry Cohn, 2025, needs more optimization.
7 695 0.746453416511 Henry Cohn, 2025, needs more optimization.
7 696 0.746467272171 Henry Cohn, 2025, needs more optimization.
7 697 0.746714567018 Henry Cohn, 2025, needs more optimization.
7 698 0.746721146572 Henry Cohn, 2025, needs more optimization.
7 699 0.746954039717 Henry Cohn, 2025, needs more optimization.
7 700 0.747016664244 Henry Cohn, 2025, needs more optimization.
7 701 0.747371942318 Henry Cohn, 2025, needs more optimization.
7 702 0.747505954487 Henry Cohn, 2025, needs more optimization.
7 703 0.747609628293 Henry Cohn, 2025, needs more optimization.
7 704 0.747815247079 Henry Cohn, 2025, needs more optimization.
7 705 0.747824940385 Henry Cohn, 2025, needs more optimization.
7 706 0.748150243104 Henry Cohn, 2025, needs more optimization.
7 707 0.748167879463 Henry Cohn, 2025, needs more optimization.
7 708 0.748226408774 Henry Cohn, 2025, needs more optimization.
7 709 0.748384853776 Henry Cohn, 2025, needs more optimization.
7 710 0.748428183132 Henry Cohn, 2025, needs more optimization.
7 711 0.748679840864 Henry Cohn, 2025, needs more optimization.
7 712 0.748808269582 Henry Cohn, 2025, needs more optimization.
7 713 0.748974055974 Henry Cohn, 2025, needs more optimization.
7 714 0.749018670235 Henry Cohn, 2025, needs more optimization.
7 715 0.749221951020 Henry Cohn, 2025, needs more optimization.
7 716 0.749388933347 Henry Cohn, 2025, 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 0.766304091493 Henry Cohn, 2025, needs more optimization.
7 884 0.766418771944 Henry Cohn, 2025, needs more optimization.
7 885 0.766525239704 Henry Cohn, 2025, needs more optimization.
7 886 0.766527594674 Henry Cohn, 2025, needs more optimization.
7 887 0.766867869949 Henry Cohn, 2025, needs more optimization.
7 888 0.766887897664 Henry Cohn, 2025, needs more optimization.
7 889 0.766890149486 Henry Cohn, 2025, needs more optimization.
7 890 0.767018124487 Henry Cohn, 2025, needs more optimization.
7 891 0.767086266326 Henry Cohn, 2025, needs more optimization.
7 892 0.767231569550 Henry Cohn, 2025, needs more optimization.
7 893 0.767252446175 Henry Cohn, 2025, needs more optimization.
7 894 0.767257426507 Henry Cohn, 2025, needs more optimization.
7 895 0.767391546637 Henry Cohn, 2025, needs more optimization.
7 896 0.767401946186 Henry Cohn, 2025, needs more optimization.
7 897 0.767681720564 Henry Cohn, 2025, needs more optimization.
7 898 0.767733397815 Henry Cohn, 2025, needs more optimization.
7 899 0.767736873146 Henry Cohn, 2025, needs more optimization.
7 900 0.767809398018 Henry Cohn, 2025, needs more optimization.
7 901 0.768010151877 Henry Cohn, 2025, needs more optimization.
7 902 0.768013173488 Henry Cohn, 2025, needs more optimization.
7 904 0.768138005293 Henry Cohn, 2025, needs more optimization.
7 905 0.768349270409 Henry Cohn, 2025, needs more optimization.
7 906 0.768410631077 Henry Cohn, 2025, needs more optimization.
7 907 0.768518067748 Henry Cohn, 2025, needs more optimization.
7 908 0.768580271112 Henry Cohn, 2025, needs more optimization.
7 909 0.768713496939 Henry Cohn, 2025, needs more optimization.
7 910 0.768739341134 Henry Cohn, 2025, needs more optimization.
7 911 0.768771121010 Henry Cohn, 2025, needs more optimization.
7 913 0.768957366848 Henry Cohn, 2025, needs more optimization.
7 914 0.768960255227 Henry Cohn, 2025, needs more optimization.
7 915 0.769192254989 Henry Cohn, 2025, needs more optimization.
7 916 0.769196961555 Henry Cohn, 2025, needs more optimization.
7 917 0.769205025913 Henry Cohn, 2025, needs more optimization.
7 918 0.769532233218 Henry Cohn, 2025, needs more optimization.
7 919 0.769536044854 Henry Cohn, 2025, needs more optimization.
7 920 0.769700440865 Henry Cohn, 2025, needs more optimization.
7 921 0.769706804461 Henry Cohn, 2025, needs more optimization.
7 922 0.769884973348 Henry Cohn, 2025, needs more optimization.
7 923 0.769912520368 Henry Cohn, 2025, needs more optimization.
7 924 0.769924343905 Henry Cohn, 2025, needs more optimization.
7 925 0.769964729931 Henry Cohn, 2025, needs more optimization.
7 926 0.769997961235 Henry Cohn, 2025, needs more optimization.
7 927 0.770123058479 Henry Cohn, 2025, needs more optimization.
7 928 0.770264308835 Henry Cohn, 2025, needs more optimization.
7 929 0.770264474846 Henry Cohn, 2025, needs more optimization.
7 930 0.770302505224 Henry Cohn, 2025, needs more optimization.
7 931 0.770575709793 Henry Cohn, 2025, needs more optimization.
7 932 0.770579743316 Henry Cohn, 2025, needs more optimization.
7 933 0.770595690567 Henry Cohn, 2025, needs more optimization.
7 934 0.770628045341 Henry Cohn, 2025, needs more optimization.
7 935 0.770770168786 Henry Cohn, 2025, needs more optimization.
7 936 0.770899559651 Henry Cohn, 2025, needs more optimization.
7 937 0.770902014160 Henry Cohn, 2025, needs more optimization.
7 938 0.771165856307 Henry Cohn, 2025, needs more optimization.
7 939 0.771169572134 Henry Cohn, 2025, needs more optimization.
7 940 0.771216838433 Henry Cohn, 2025, needs more optimization.
7 941 0.771239312708 Henry Cohn, 2025, needs more optimization.
7 943 0.771360862814 Henry Cohn, 2025, needs more optimization.
7 944 0.771503310438 Henry Cohn, 2025, needs more optimization.
7 945 0.771524198786 Henry Cohn, 2025, needs more optimization.
7 946 0.771742521096 Henry Cohn, 2025, needs more optimization.
7 948 0.771748841996 Henry Cohn, 2025, needs more optimization.
7 949 0.771757569216 Henry Cohn, 2025, needs more optimization.
7 950 0.771904683046 Henry Cohn, 2025, needs more optimization.
7 951 0.772123382659 Henry Cohn, 2025, needs more optimization.
7 953 0.772239648002 Henry Cohn, 2025, needs more optimization.
7 954 0.772255413298 Henry Cohn, 2025, needs more optimization.
7 955 0.772542605323 Henry Cohn, 2025, needs more optimization.
7 956 0.772595320218 Henry Cohn, 2025, needs more optimization.
7 957 0.772601627827 Henry Cohn, 2025, needs more optimization.
7 959 0.772738527814 Henry Cohn, 2025, needs more optimization.
7 960 0.772837884371 Henry Cohn, 2025, needs more optimization.
7 961 0.772843474814 Henry Cohn, 2025, needs more optimization.
7 962 0.772926069897 Henry Cohn, 2025, needs more optimization.
7 963 0.773161630297 Henry Cohn, 2025, needs more optimization.
7 965 0.773200621725 Henry Cohn, 2025, needs more optimization.
7 966 0.773223493454 Henry Cohn, 2025, needs more optimization.
7 967 0.773524947607 Henry Cohn, 2025, needs more optimization.
7 968 0.773534895672 Henry Cohn, 2025, needs more optimization.
7 969 0.773634537960 Henry Cohn, 2025, needs more optimization.
7 970 0.773638924126 Henry Cohn, 2025, needs more optimization.
7 971 0.773822099300 Henry Cohn, 2025, needs more optimization.
7 972 0.773827494958 Henry Cohn, 2025, needs more optimization.
7 973 0.773834788495 Henry Cohn, 2025, needs more optimization.
7 974 0.773952851955 Henry Cohn, 2025, needs more optimization.
7 976 0.774180818444 Henry Cohn, 2025, needs more optimization.
7 977 0.774221790291 Henry Cohn, 2025, needs more optimization.
7 978 0.774231409619 Henry Cohn, 2025, needs more optimization.
7 979 0.774443310796 Henry Cohn, 2025, needs more optimization.
7 980 0.774466110809 Henry Cohn, 2025, needs more optimization.
7 981 0.774489936361 Henry Cohn, 2025, needs more optimization.
7 982 0.774497955386 Henry Cohn, 2025, needs more optimization.
7 983 0.774645599264 Henry Cohn, 2025, needs more optimization.
7 985 0.774756465462 Henry Cohn, 2025, needs more optimization.
7 986 0.774774748227 Henry Cohn, 2025, needs more optimization.
7 987 0.774872741252 Henry Cohn, 2025, needs more optimization.
7 988 0.775041594845 Henry Cohn, 2025, needs more optimization.
7 989 0.775061512097 Henry Cohn, 2025, needs more optimization.
7 990 0.775268368778 Henry Cohn, 2025, needs more optimization.
7 991 0.775275612377 Henry Cohn, 2025, needs more optimization.
7 992 0.775423925764 Henry Cohn, 2025, needs more optimization.
7 993 0.775431413946 Henry Cohn, 2025, needs more optimization.
7 994 0.775453146640 Henry Cohn, 2025, needs more optimization.
7 995 0.775632598837 Henry Cohn, 2025, needs more optimization.
7 996 0.775669893609 Henry Cohn, 2025, needs more optimization.
7 997 0.775704293887 Henry Cohn, 2025, needs more optimization.
7 998 0.775772695257 Henry Cohn, 2025, needs more optimization.
7 999 0.775775463625 Henry Cohn, 2025, needs more optimization.
7 1000 0.775855360767 Henry Cohn, 2025, needs more optimization.
7 1001 0.776024150867 Henry Cohn, 2025, needs more optimization.
7 1002 0.776040284309 Henry Cohn, 2025, needs more optimization.
7 1003 0.776176572478 Henry Cohn, 2025, needs more optimization.
7 1004 0.776184751487 Henry Cohn, 2025, needs more optimization.
7 1005 0.776327111003 Henry Cohn, 2025, needs more optimization.
7 1006 0.776380105971 Henry Cohn, 2025, needs more optimization.
7 1007 0.776425871372 Henry Cohn, 2025, needs more optimization.
7 1008 0.776753227999 Henry Cohn, 2025, needs more optimization.
7 1009 0.776757501902 Henry Cohn, 2025, needs more optimization.
7 1010 0.776971082017 Henry Cohn, 2025, needs more optimization.
7 1012 0.776978114898 Henry Cohn, 2025, needs more optimization.
7 1013 0.777161042973 Henry Cohn, 2025, needs more optimization.
7 1014 0.777180183121 Henry Cohn, 2025, needs more optimization.
7 1015 0.777231130326 Henry Cohn, 2025, needs more optimization.
7 1016 0.777353246620 Henry Cohn, 2025, needs more optimization.
7 1017 0.777362033599 Henry Cohn, 2025, needs more optimization.
7 1018 0.777410239571 Henry Cohn, 2025, needs more optimization.
7 1019 0.777485256086 Henry Cohn, 2025, needs more optimization.
7 1020 0.777811702770 Henry Cohn, 2025, needs more optimization.
7 1021 0.777828715270 Henry Cohn, 2025, needs more optimization.
7 1022 0.777990478570 Henry Cohn, 2025, needs more optimization.
7 1023 0.777994305436 Henry Cohn, 2025, needs more optimization.
7 1024 0.778006655112 Henry Cohn, 2025, 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 0.285334731818 Henry Cohn, 2025.
8 44 0.288915583776 Henry Cohn, 2025, needs more optimization.
8 45 0.293536208606 Henry Cohn, 2025.
8 46 0.298271343353 Henry Cohn, 2025.
8 47 0.301070997037 Henry Cohn, 2025.
8 48 0.306875944193 Henry Cohn, 2025.
8 49 0.310558546149 Henry Cohn, 2025.
8 50 0.315289580845 Henry Cohn, 2023.
8 51 0.316850575857 Henry Cohn, 2023.
8 52 0.317160719662 Henry Cohn, 2025.
8 53 0.323169256340 Henry Cohn, 2025.
8 54 0.326168001768 Henry Cohn, 2025.
8 55 0.328647326389 Henry Cohn, 2025, needs more optimization.
8 56 0.330635803908 Henry Cohn, 2024.
8 57 0.332158951387 Henry Cohn, 2025.
8 58 0.332763440661 Henry Cohn, 2025.
8 59 0.333072649155 Henry Cohn, 2025.
8 60 0.333203602143 Henry Cohn, 2025.
8 61 0.333267217438 Henry Cohn, 2025.
8 62 0.333282345794 Henry Cohn, 2025.
8 63 0.333328348988 Henry Cohn, 2025, needs more optimization.
8 64 0.333333333334 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.
3⁢x−1
8 65 0.340297736367 Henry Cohn, 2025.
8 66 0.348776902230 Henry Cohn, 2025.
8 67 0.350764677350 Henry Cohn, 2025.
8 68 0.352462830866 Henry Cohn, 2024.
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 0.374360545517 Henry Cohn, 2023.
8 74 0.375030122030 Henry Cohn, 2025.
8 75 0.380147254829 Henry Cohn, 2024.
8 76 0.383280469013 Henry Cohn, 2023.
8 77 0.386336871922 Henry Cohn, 2025.
8 78 0.387879817423 Henry Cohn, 2025.
8 79 0.395049514668 Henry Cohn, 2024.
8 80 0.399272012697 Henry Cohn, 2024.
8 81 0.401779725035 Henry Cohn, 2025, needs more optimization.
8 82 0.402310960282 Henry Cohn, 2025.
8 83 0.408258291012 Henry Cohn, 2025.
8 84 0.409508840421 Henry Cohn, 2024.
8 85 0.413778903117 Henry Cohn, 2025.
8 86 0.416885354093 Henry Cohn, 2025.
8 88 0.418782717642 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.
32⁢x3−8⁢x+1
8 89 0.423853296349 Henry Cohn, 2025, needs more optimization.
8 90 0.423913259528 Henry Cohn, 2025, needs more optimization.
8 91 0.425947075562 Henry Cohn, 2025.
8 92 0.426042492187 Henry Cohn, 2025, needs more optimization.
8 93 0.426356192533 Henry Cohn, 2025.
8 94 0.426827036321 Henry Cohn, 2025.
8 95 0.427085423997 Henry Cohn, 2025, needs more optimization.
8 96 0.427563081968 Henry Cohn, 2025.
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 0.447849635641 Henry Cohn, 2025, needs more optimization.
8 116 0.450053479779 Henry Cohn, 2025, needs more optimization.
8 117 0.461067468467 Henry Cohn, 2025, needs more optimization.
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 0.466199642504 Henry Cohn, 2025.
8 138 0.479467154919 Henry Cohn, 2025, needs more optimization.
8 139 0.486002977707 Henry Cohn, 2025, needs more optimization.
8 140 0.486029653391 Henry Cohn, 2025, needs more optimization.
8 141 0.486909752022 Henry Cohn, 2025, needs more optimization.
8 142 0.487996405436 Henry Cohn, 2025, needs more optimization.
8 143 0.488084225560 Henry Cohn, 2025, needs more optimization.
8 144 0.489806493695 Henry Cohn, 2025, needs more optimization.
8 145 0.490577433276 Henry Cohn, 2025, needs more optimization.
8 146 0.491902818633 Henry Cohn, 2025, needs more optimization.
8 147 0.492227620459 Henry Cohn, 2025, needs more optimization.
8 148 0.492354558677 Henry Cohn, 2025, needs more optimization.
8 149 0.492411181166 Henry Cohn, 2025, needs more optimization.
8 150 0.492519279758 Henry Cohn, 2025, needs more optimization.
8 152 0.494102973846 Henry Cohn, 2025, needs more optimization.
8 153 0.494111163563 Henry Cohn, 2025, needs more optimization.
8 154 0.496554754984 Henry Cohn, 2025, needs more optimization.
8 155 0.496702414424 Henry Cohn, 2025, needs more optimization.
8 156 0.498765872920 Henry Cohn, 2024, needs more optimization.
8 157 0.498790754612 Henry Cohn, 2024, needs more optimization.
8 158 0.498854801715 Henry Cohn, 2024, needs more optimization.
8 159 0.498895065085 Henry Cohn, 2024, needs more optimization.
8 160 0.498964092556 Henry Cohn, 2024, needs more optimization.
8 162 0.498989670922 Henry Cohn, 2024, needs more optimization.
8 163 0.499040173619 Henry Cohn, 2024, needs more optimization.
8 164 0.499178666546 Henry Cohn, 2024, 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 0.544322669198 Henry Cohn, 2025, needs more optimization.
8 243 0.547703296571 Henry Cohn, 2024, needs more optimization.
8 244 0.550114418751 Henry Cohn, 2025, needs more optimization.
8 245 0.553653350879 Henry Cohn, 2025, needs more optimization.
8 246 0.554334475572 Henry Cohn, 2025, needs more optimization.
8 247 0.556775187843 Henry Cohn, 2025, needs more optimization.
8 248 0.558077949649 Henry Cohn, 2025, needs more optimization.
8 249 0.559466584083 Henry Cohn, 2025, needs more optimization.
8 250 0.561048089259 Henry Cohn, 2025, needs more optimization.
8 251 0.562051691063 Henry Cohn, 2025, needs more optimization.
8 252 0.564084932721 Henry Cohn, 2025, needs more optimization.
8 253 0.564246068163 Henry Cohn, 2025, needs more optimization.
8 254 0.564548876515 Henry Cohn, 2025, needs more optimization.
8 255 0.564558725654 Henry Cohn, 2025, needs more optimization.
8 256 0.564982554726 Henry Cohn, 2025, needs more optimization.
8 257 0.565191770046 Henry Cohn, 2025, needs more optimization.
8 259 0.568921803026 Henry Cohn, 2025, needs more optimization.
8 260 0.570936708007 Henry Cohn, 2025, needs more optimization.
8 261 0.572786801582 Henry Cohn, 2025, needs more optimization.
8 262 0.572831500720 Henry Cohn, 2025, needs more optimization.
8 263 0.574590791261 Henry Cohn, 2025, needs more optimization.
8 264 0.575419735025 Henry Cohn, 2025, needs more optimization.
8 265 0.576149345614 Henry Cohn, 2025, needs more optimization.
8 266 0.577618166314 Henry Cohn, 2025, needs more optimization.
8 267 0.579611265281 Henry Cohn, 2025, needs more optimization.
8 268 0.579662681244 Henry Cohn, 2025, needs more optimization.
8 269 0.580647725435 Henry Cohn, 2025, needs more optimization.
8 270 0.580676206229 Henry Cohn, 2025, needs more optimization.
8 272 0.580735436765 Henry Cohn, 2025, needs more optimization.
8 273 0.581469328522 Henry Cohn, 2025, needs more optimization.
8 274 0.582296331754 Henry Cohn, 2025, needs more optimization.
8 275 0.582316368789 Henry Cohn, 2025, needs more optimization.
8 276 0.582508905957 Henry Cohn, 2025, needs more optimization.
8 277 0.582951675001 Henry Cohn, 2025, needs more optimization.
8 278 0.583578854783 Henry Cohn, 2025, needs more optimization.
8 279 0.583611745643 Henry Cohn, 2025, needs more optimization.
8 280 0.584163827098 Henry Cohn, 2025, needs more optimization.
8 281 0.584188362462 Henry Cohn, 2025, needs more optimization.
8 282 0.585062172836 Henry Cohn, 2025, needs more optimization.
8 283 0.585081474308 Henry Cohn, 2025, needs more optimization.
8 284 0.585127763883 Henry Cohn, 2025, needs more optimization.
8 285 0.585182965813 Henry Cohn, 2025, needs more optimization.
8 286 0.586409067057 Henry Cohn, 2025, needs more optimization.
8 287 0.589221326387 Henry Cohn, 2025, needs more optimization.
8 288 0.590277353058 Henry Cohn, 2025, needs more optimization.
8 289 0.590478895744 Henry Cohn, 2025, needs more optimization.
8 291 0.590869852285 Henry Cohn, 2025, needs more optimization.
8 293 0.590960418346 Henry Cohn, 2025, needs more optimization.
8 294 0.591010781228 Henry Cohn, 2025, needs more optimization.
8 296 0.591153002995 Henry Cohn, 2025, needs more optimization.
8 297 0.592221939558 Henry Cohn, 2025, needs more optimization.
8 310 0.592250069349 Henry Cohn, 2024, needs more optimization.
8 311 0.600392682840 Henry Cohn, 2025, needs more optimization.
8 312 0.600877060948 Henry Cohn, 2025, needs more optimization.
8 313 0.601264292763 Henry Cohn, 2025, needs more optimization.
8 314 0.601623558886 Henry Cohn, 2025, needs more optimization.
8 316 0.601887068922 Henry Cohn, 2025, needs more optimization.
8 317 0.602305461432 Henry Cohn, 2025, needs more optimization.
8 318 0.604495111714 Henry Cohn, 2025, needs more optimization.
8 319 0.604822638198 Henry Cohn, 2025, needs more optimization.
8 320 0.605997077880 Henry Cohn, 2025, needs more optimization.
8 321 0.606080632890 Henry Cohn, 2025, needs more optimization.
8 322 0.606676694807 Henry Cohn, 2025, needs more optimization.
8 323 0.606748319797 Henry Cohn, 2025, needs more optimization.
8 325 0.606877152684 Henry Cohn, 2025, needs more optimization.
8 326 0.607222719364 Henry Cohn, 2025, needs more optimization.
8 327 0.608149701647 Henry Cohn, 2025, needs more optimization.
8 328 0.608185617200 Henry Cohn, 2025, needs more optimization.
8 329 0.608330350810 Henry Cohn, 2025, needs more optimization.
8 330 0.609065800430 Henry Cohn, 2025, needs more optimization.
8 331 0.609197149344 Henry Cohn, 2025, needs more optimization.
8 332 0.609790935425 Henry Cohn, 2025, needs more optimization.
8 333 0.609869023821 Henry Cohn, 2025, needs more optimization.
8 335 0.610097380570 Henry Cohn, 2025, needs more optimization.
8 336 0.610735915996 Henry Cohn, 2025, needs more optimization.
8 337 0.610840998141 Henry Cohn, 2025, needs more optimization.
8 338 0.611612890703 Henry Cohn, 2025, needs more optimization.
8 339 0.611899638127 Henry Cohn, 2025, needs more optimization.
8 340 0.611902448506 Henry Cohn, 2025, needs more optimization.
8 341 0.612147640213 Henry Cohn, 2025, needs more optimization.
8 342 0.612148803025 Henry Cohn, 2025, needs more optimization.
8 343 0.612157671962 Henry Cohn, 2025, needs more optimization.
8 345 0.612945541255 Henry Cohn, 2025, needs more optimization.
8 346 0.613023737408 Henry Cohn, 2025, needs more optimization.
8 348 0.613901448115 Henry Cohn, 2025, needs more optimization.
8 349 0.613958393143 Henry Cohn, 2025, needs more optimization.
8 350 0.614081594495 Henry Cohn, 2025, needs more optimization.
8 351 0.614698593451 Henry Cohn, 2025, needs more optimization.
8 352 0.615228844420 Henry Cohn, 2025, needs more optimization.
8 353 0.615891777861 Henry Cohn, 2025, needs more optimization.
8 354 0.616147123726 Henry Cohn, 2025, needs more optimization.
8 355 0.616343982233 Henry Cohn, 2025, needs more optimization.
8 356 0.616552318905 Henry Cohn, 2025, needs more optimization.
8 357 0.616557922801 Henry Cohn, 2025, needs more optimization.
8 358 0.616824392727 Henry Cohn, 2025, needs more optimization.
8 359 0.617321543062 Henry Cohn, 2025, needs more optimization.
8 360 0.617332624512 Henry Cohn, 2025, needs more optimization.
8 361 0.617715181201 Henry Cohn, 2025, needs more optimization.
8 363 0.618218429962 Henry Cohn, 2025, needs more optimization.
8 364 0.618873826037 Henry Cohn, 2025, needs more optimization.
8 365 0.618950774351 Henry Cohn, 2025, needs more optimization.
8 366 0.619537802218 Henry Cohn, 2025, needs more optimization.
8 367 0.619566098791 Henry Cohn, 2025, needs more optimization.
8 368 0.620027459956 Henry Cohn, 2025, needs more optimization.
8 369 0.620860535828 Henry Cohn, 2025, needs more optimization.
8 370 0.621212628217 Henry Cohn, 2025, needs more optimization.
8 371 0.621219399291 Henry Cohn, 2025, needs more optimization.
8 372 0.621278554511 Henry Cohn, 2025, needs more optimization.
8 373 0.621446306171 Henry Cohn, 2025, needs more optimization.
8 374 0.621809961723 Henry Cohn, 2025, needs more optimization.
8 375 0.622680026091 Henry Cohn, 2025, needs more optimization.
8 376 0.622727076597 Henry Cohn, 2025, needs more optimization.
8 377 0.623361057450 Henry Cohn, 2025, needs more optimization.
8 378 0.623380350845 Henry Cohn, 2025, needs more optimization.
8 379 0.623569102735 Henry Cohn, 2025, needs more optimization.
8 380 0.623745956911 Henry Cohn, 2025, needs more optimization.
8 381 0.624750658484 Henry Cohn, 2025, needs more optimization.
8 382 0.624770012520 Henry Cohn, 2025, needs more optimization.
8 383 0.624991249003 Henry Cohn, 2025, needs more optimization.
8 384 0.625404555793 Henry Cohn, 2025, needs more optimization.
8 385 0.625738553850 Henry Cohn, 2025, needs more optimization.
8 386 0.626129906999 Henry Cohn, 2025, needs more optimization.
8 387 0.626455403171 Henry Cohn, 2025, needs more optimization.
8 388 0.626462838724 Henry Cohn, 2025, needs more optimization.
8 389 0.626964977136 Henry Cohn, 2025, needs more optimization.
8 390 0.627640882088 Henry Cohn, 2025, needs more optimization.
8 391 0.628205858700 Henry Cohn, 2025, needs more optimization.
8 392 0.628295059009 Henry Cohn, 2025, needs more optimization.
8 393 0.628396377236 Henry Cohn, 2025, needs more optimization.
8 394 0.628400562630 Henry Cohn, 2025, needs more optimization.
8 395 0.628660240995 Henry Cohn, 2025, needs more optimization.
8 396 0.629105201649 Henry Cohn, 2025, needs more optimization.
8 397 0.629174879361 Henry Cohn, 2025, needs more optimization.
8 398 0.629882846320 Henry Cohn, 2025, needs more optimization.
8 399 0.629898912910 Henry Cohn, 2025, needs more optimization.
8 400 0.630296027886 Henry Cohn, 2025, needs more optimization.
8 401 0.631383732586 Henry Cohn, 2025, needs more optimization.
8 402 0.631391361796 Henry Cohn, 2025, needs more optimization.
8 403 0.631491811937 Henry Cohn, 2025, needs more optimization.
8 404 0.631525802271 Henry Cohn, 2025, needs more optimization.
8 405 0.632230461198 Henry Cohn, 2025, needs more optimization.
8 406 0.632349801223 Henry Cohn, 2025, needs more optimization.
8 407 0.632398489725 Henry Cohn, 2025, needs more optimization.
8 408 0.632751021452 Henry Cohn, 2025, needs more optimization.
8 409 0.632771125197 Henry Cohn, 2025, needs more optimization.
8 410 0.633663719121 Henry Cohn, 2025, needs more optimization.
8 411 0.633684274566 Henry Cohn, 2025, needs more optimization.
8 412 0.634038781289 Henry Cohn, 2025, needs more optimization.
8 413 0.634072044254 Henry Cohn, 2025, needs more optimization.
8 414 0.634321770809 Henry Cohn, 2025, needs more optimization.
8 415 0.634728376576 Henry Cohn, 2025, needs more optimization.
8 416 0.634814438444 Henry Cohn, 2025, needs more optimization.
8 417 0.634837438867 Henry Cohn, 2025, needs more optimization.
8 418 0.634935325664 Henry Cohn, 2025, needs more optimization.
8 419 0.635070107909 Henry Cohn, 2025, needs more optimization.
8 420 0.635590593884 Henry Cohn, 2025, needs more optimization.
8 421 0.636141198917 Henry Cohn, 2025, needs more optimization.
8 423 0.636176710499 Henry Cohn, 2025, needs more optimization.
8 424 0.636387910800 Henry Cohn, 2025, needs more optimization.
8 425 0.637001897162 Henry Cohn, 2025, needs more optimization.
8 426 0.637031989285 Henry Cohn, 2025, needs more optimization.
8 428 0.637089800716 Henry Cohn, 2025, needs more optimization.
8 429 0.637092545807 Henry Cohn, 2025, needs more optimization.
8 430 0.637632913569 Henry Cohn, 2025, needs more optimization.
8 431 0.637930583097 Henry Cohn, 2025, needs more optimization.
8 432 0.638118566378 Henry Cohn, 2025, needs more optimization.
8 433 0.638534297751 Henry Cohn, 2025, needs more optimization.
8 434 0.638897720025 Henry Cohn, 2025, needs more optimization.
8 435 0.639069879825 Henry Cohn, 2025, needs more optimization.
8 436 0.639792064682 Henry Cohn, 2025, needs more optimization.
8 437 0.639809402862 Henry Cohn, 2025, needs more optimization.
8 438 0.640054154855 Henry Cohn, 2025, needs more optimization.
8 439 0.640161033091 Henry Cohn, 2025, needs more optimization.
8 440 0.640485387645 Henry Cohn, 2025, needs more optimization.
8 441 0.640536005697 Henry Cohn, 2025, needs more optimization.
8 442 0.640770490604 Henry Cohn, 2025, needs more optimization.
8 443 0.640785931650 Henry Cohn, 2025, needs more optimization.
8 444 0.641265431799 Henry Cohn, 2025, needs more optimization.
8 445 0.641280478874 Henry Cohn, 2025, needs more optimization.
8 446 0.641438699651 Henry Cohn, 2025, needs more optimization.
8 448 0.641577792871 Henry Cohn, 2025, needs more optimization.
8 449 0.641594328117 Henry Cohn, 2025, needs more optimization.
8 450 0.641641276823 Henry Cohn, 2025, needs more optimization.
8 452 0.641824024831 Henry Cohn, 2025, needs more optimization.
8 453 0.641928633909 Henry Cohn, 2025, needs more optimization.
8 454 0.641996539447 Henry Cohn, 2025, needs more optimization.
8 455 0.642197048455 Henry Cohn, 2025, needs more optimization.
8 456 0.642220606602 Henry Cohn, 2025, needs more optimization.
8 457 0.642235677451 Henry Cohn, 2025, needs more optimization.
8 458 0.642271689410 Henry Cohn, 2025, needs more optimization.
8 459 0.642648483139 Henry Cohn, 2025, needs more optimization.
8 460 0.643414337681 Henry Cohn, 2025, needs more optimization.
8 462 0.643497919457 Henry Cohn, 2025, needs more optimization.
8 463 0.643546681147 Henry Cohn, 2025, needs more optimization.
8 464 0.643551935394 Henry Cohn, 2025, needs more optimization.
8 465 0.643582175308 Henry Cohn, 2025, needs more optimization.
8 466 0.643725285964 Henry Cohn, 2025, needs more optimization.
8 467 0.643734658346 Henry Cohn, 2025, needs more optimization.
8 469 0.644393228166 Henry Cohn, 2025, needs more optimization.
8 470 0.644464292590 Henry Cohn, 2025, needs more optimization.
8 471 0.645136041429 Henry Cohn, 2025, needs more optimization.
8 472 0.645159404074 Henry Cohn, 2025, needs more optimization.
8 473 0.645202127893 Henry Cohn, 2025, needs more optimization.
8 474 0.645256657821 Henry Cohn, 2025, needs more optimization.
8 475 0.645262692751 Henry Cohn, 2025, needs more optimization.
8 476 0.646069267580 Henry Cohn, 2025, needs more optimization.
8 477 0.646077735244 Henry Cohn, 2025, needs more optimization.
8 478 0.646130422809 Henry Cohn, 2025, needs more optimization.
8 479 0.647189050236 Henry Cohn, 2025, needs more optimization.
8 481 0.648204835883 Henry Cohn, 2025, needs more optimization.
8 482 0.648253556938 Henry Cohn, 2025, needs more optimization.
8 483 0.648274757365 Henry Cohn, 2025, needs more optimization.
8 484 0.648303536262 Henry Cohn, 2025, needs more optimization.
8 485 0.648305175088 Henry Cohn, 2025, needs more optimization.
8 486 0.648408494767 Henry Cohn, 2025, needs more optimization.
8 488 0.648411120872 Henry Cohn, 2025, needs more optimization.
8 489 0.648920109923 Henry Cohn, 2025, needs more optimization.
8 490 0.649038052410 Henry Cohn, 2025, needs more optimization.
8 492 0.649057796908 Henry Cohn, 2025, needs more optimization.
8 494 0.649467696407 Henry Cohn, 2025, needs more optimization.
8 495 0.649469911215 Henry Cohn, 2025, needs more optimization.
8 496 0.651800449550 Henry Cohn, 2025, needs more optimization.
8 499 0.651824614811 Henry Cohn, 2025, needs more optimization.
8 500 0.651872468815 Henry Cohn, 2025, needs more optimization.
8 501 0.651937377004 Henry Cohn, 2025, needs more optimization.
8 502 0.651997317836 Henry Cohn, 2025, needs more optimization.
8 504 0.652004196553 Henry Cohn, 2025, needs more optimization.
8 506 0.652654910055 Henry Cohn, 2025, needs more optimization.
8 507 0.652654912344 Henry Cohn, 2025, needs more optimization.
8 508 0.652666259807 Henry Cohn, 2025, needs more optimization.
8 510 0.652890934505 Henry Cohn, 2025, needs more optimization.
8 511 0.653823779310 Henry Cohn, 2025, needs more optimization.
8 512 0.653934168502 Henry Cohn, 2025, needs more optimization.
8 513 0.653974181578 Henry Cohn, 2025, needs more optimization.
8 514 0.654038496476 Henry Cohn, 2025, needs more optimization.
8 515 0.654151322098 Henry Cohn, 2025, needs more optimization.
8 519 0.654692519044 Henry Cohn, 2025, needs more optimization.
8 520 0.655357114349 Henry Cohn, 2025, needs more optimization.
8 522 0.655390847007 Henry Cohn, 2025, needs more optimization.
8 523 0.655410592159 Henry Cohn, 2025, needs more optimization.
8 524 0.655533395943 Henry Cohn, 2025, needs more optimization.
8 525 0.656634759856 Henry Cohn, 2025, needs more optimization.
8 526 0.656656384043 Henry Cohn, 2025, needs more optimization.
8 528 0.656667120066 Henry Cohn, 2025, needs more optimization.
8 529 0.656674349024 Henry Cohn, 2025, needs more optimization.
8 530 0.656683842822 Henry Cohn, 2025, needs more optimization.
8 531 0.656709899536 Henry Cohn, 2025, needs more optimization.
8 532 0.656717948044 Henry Cohn, 2025, needs more optimization.
8 534 0.656816987118 Henry Cohn, 2025, needs more optimization.
8 536 0.657840071655 Henry Cohn, 2025, needs more optimization.
8 537 0.657891904013 Henry Cohn, 2025, needs more optimization.
8 538 0.658249081539 Henry Cohn, 2025, needs more optimization.
8 541 0.659080130491 Henry Cohn, 2025, needs more optimization.
8 542 0.659345167814 Henry Cohn, 2025, needs more optimization.
8 543 0.660332017698 Henry Cohn, 2025, needs more optimization.
8 544 0.660359841907 Henry Cohn, 2025, needs more optimization.
8 545 0.660448922757 Henry Cohn, 2025, needs more optimization.
8 546 0.660541826812 Henry Cohn, 2025, needs more optimization.
8 547 0.660871784461 Henry Cohn, 2025, needs more optimization.
8 557 0.662171402646 Henry Cohn, 2025, needs more optimization.
8 558 0.662468653075 Henry Cohn, 2025, needs more optimization.
8 561 0.662973680970 Henry Cohn, 2025, needs more optimization.
8 563 0.663021420021 Henry Cohn, 2025, needs more optimization.
8 564 0.663029029492 Henry Cohn, 2025, needs more optimization.
8 565 0.663035818985 Henry Cohn, 2025, needs more optimization.
8 566 0.663101282161 Henry Cohn, 2025, needs more optimization.
8 567 0.663892412862 Henry Cohn, 2025, needs more optimization.
8 568 0.663926371318 Henry Cohn, 2025, needs more optimization.
8 569 0.664046024545 Henry Cohn, 2025, needs more optimization.
8 570 0.664623961042 Henry Cohn, 2025, needs more optimization.
8 571 0.664637068515 Henry Cohn, 2025, needs more optimization.
8 572 0.664703251235 Henry Cohn, 2025, needs more optimization.
8 574 0.665269725445 Henry Cohn, 2025, needs more optimization.
8 579 0.665308292126 Henry Cohn, 2025, needs more optimization.
8 581 0.665350887801 Henry Cohn, 2025, needs more optimization.
8 583 0.665379649120 Henry Cohn, 2025, needs more optimization.
8 586 0.665380549827 Henry Cohn, 2025, needs more optimization.
8 587 0.665435047722 Henry Cohn, 2025, needs more optimization.
8 588 0.665445319204 Henry Cohn, 2025, needs more optimization.
8 592 0.665561282339 Henry Cohn, 2025, needs more optimization.
8 595 0.666130895254 Henry Cohn, 2025, needs more optimization.
8 596 0.666387024705 Henry Cohn, 2025, needs more optimization.
8 599 0.666397358052 Henry Cohn, 2025, needs more optimization.
8 600 0.666618097900 Henry Cohn, 2025, needs more optimization.
8 601 0.666965063068 Henry Cohn, 2025, needs more optimization.
8 603 0.666985574341 Henry Cohn, 2025, needs more optimization.
8 604 0.667089931696 Henry Cohn, 2025, needs more optimization.
8 607 0.667120738883 Henry Cohn, 2025, needs more optimization.
8 608 0.667125911460 Henry Cohn, 2025, needs more optimization.
8 609 0.667137483457 Henry Cohn, 2025, needs more optimization.
8 611 0.667145414652 Henry Cohn, 2025, needs more optimization.
8 612 0.667149076988 Henry Cohn, 2025, needs more optimization.
8 613 0.667153683886 Henry Cohn, 2025, needs more optimization.
8 615 0.667483585956 Henry Cohn, 2025, needs more optimization.
8 616 0.667623615616 Henry Cohn, 2025, needs more optimization.
8 617 0.667658585372 Henry Cohn, 2025, needs more optimization.
8 618 0.667665939580 Henry Cohn, 2025, needs more optimization.
8 620 0.667678310990 Henry Cohn, 2025, needs more optimization.
8 621 0.667691025236 Henry Cohn, 2025, needs more optimization.
8 622 0.667692412190 Henry Cohn, 2025, needs more optimization.
8 623 0.667736479972 Henry Cohn, 2025, needs more optimization.
8 624 0.667737235348 Henry Cohn, 2025, needs more optimization.
8 625 0.667790082788 Henry Cohn, 2025, needs more optimization.
8 626 0.667856165492 Henry Cohn, 2025, needs more optimization.
8 627 0.667867259885 Henry Cohn, 2025, needs more optimization.
8 628 0.667874379818 Henry Cohn, 2025, needs more optimization.
8 633 0.668028469835 Henry Cohn, 2025, needs more optimization.
8 634 0.668098972215 Henry Cohn, 2025, needs more optimization.
8 635 0.668103995122 Henry Cohn, 2025, needs more optimization.
8 636 0.668441989705 Henry Cohn, 2025, needs more optimization.
8 637 0.668744675880 Henry Cohn, 2025, needs more optimization.
8 638 0.668765396908 Henry Cohn, 2025, needs more optimization.
8 639 0.668781500950 Henry Cohn, 2025, needs more optimization.
8 641 0.668821436898 Henry Cohn, 2025, needs more optimization.
8 643 0.668849763782 Henry Cohn, 2025, needs more optimization.
8 644 0.668902646416 Henry Cohn, 2025, needs more optimization.
8 645 0.668913424501 Henry Cohn, 2025, needs more optimization.
8 646 0.668925108447 Henry Cohn, 2025, needs more optimization.
8 648 0.670118418002 Henry Cohn, 2025, needs more optimization.
8 649 0.670137153286 Henry Cohn, 2025, needs more optimization.
8 651 0.670169070821 Henry Cohn, 2025, needs more optimization.
8 652 0.670175947064 Henry Cohn, 2025, needs more optimization.
8 653 0.670249265653 Henry Cohn, 2025, needs more optimization.
8 654 0.670496836573 Henry Cohn, 2025, needs more optimization.
8 656 0.670540356874 Henry Cohn, 2025, needs more optimization.
8 657 0.670625559102 Henry Cohn, 2025, needs more optimization.
8 658 0.670943098265 Henry Cohn, 2025, needs more optimization.
8 659 0.671411072702 Henry Cohn, 2025, needs more optimization.
8 660 0.671453212289 Henry Cohn, 2025, needs more optimization.
8 661 0.671576063397 Henry Cohn, 2025, needs more optimization.
8 662 0.672361517486 Henry Cohn, 2025, needs more optimization.
8 663 0.672376082884 Henry Cohn, 2025, needs more optimization.
8 664 0.672393349052 Henry Cohn, 2025, needs more optimization.
8 667 0.672410193348 Henry Cohn, 2025, needs more optimization.
8 668 0.672411299630 Henry Cohn, 2025, needs more optimization.
8 670 0.672433821191 Henry Cohn, 2025, needs more optimization.
8 673 0.672444029762 Henry Cohn, 2025, needs more optimization.
8 674 0.672920393834 Henry Cohn, 2025, needs more optimization.
8 675 0.673610862017 Henry Cohn, 2025, needs more optimization.
8 676 0.673615460560 Henry Cohn, 2025, needs more optimization.
8 677 0.673654129403 Henry Cohn, 2025, needs more optimization.
8 678 0.673656323795 Henry Cohn, 2025, needs more optimization.
8 681 0.673674600224 Henry Cohn, 2025, needs more optimization.
8 682 0.673708965600 Henry Cohn, 2025, needs more optimization.
8 683 0.676263648596 Henry Cohn, 2025, needs more optimization.
8 684 0.676708717470 Henry Cohn, 2025, needs more optimization.
8 685 0.677531018202 Henry Cohn, 2025, needs more optimization.
8 686 0.677544477572 Henry Cohn, 2025, needs more optimization.
8 687 0.677555611920 Henry Cohn, 2025, needs more optimization.
8 689 0.677559094580 Henry Cohn, 2025, needs more optimization.
8 690 0.677573227978 Henry Cohn, 2025, needs more optimization.
8 691 0.677899660426 Henry Cohn, 2025, needs more optimization.
8 692 0.678679769647 Henry Cohn, 2025, needs more optimization.
8 693 0.678688084707 Henry Cohn, 2025, needs more optimization.
8 694 0.678720290855 Henry Cohn, 2025, needs more optimization.
8 695 0.678729793454 Henry Cohn, 2025, needs more optimization.
8 696 0.678735778078 Henry Cohn, 2025, needs more optimization.
8 697 0.678782198352 Henry Cohn, 2025, needs more optimization.
8 698 0.678784004008 Henry Cohn, 2025, needs more optimization.
8 699 0.679658794379 Henry Cohn, 2025, needs more optimization.
8 700 0.679677570244 Henry Cohn, 2025, needs more optimization.
8 701 0.680815834525 Henry Cohn, 2025, needs more optimization.
8 702 0.680825164121 Henry Cohn, 2025, needs more optimization.
8 704 0.680860712448 Henry Cohn, 2025, needs more optimization.
8 705 0.681761519941 Henry Cohn, 2025, needs more optimization.
8 706 0.681769624673 Henry Cohn, 2025, needs more optimization.
8 707 0.681783437957 Henry Cohn, 2025, needs more optimization.
8 708 0.681790375821 Henry Cohn, 2025, needs more optimization.
8 709 0.681807845025 Henry Cohn, 2025, needs more optimization.
8 710 0.681819621502 Henry Cohn, 2025, needs more optimization.
8 711 0.682547829724 Henry Cohn, 2025, needs more optimization.
8 712 0.682556151636 Henry Cohn, 2025, needs more optimization.
8 713 0.682631957791 Henry Cohn, 2025, needs more optimization.
8 714 0.682647104955 Henry Cohn, 2025, needs more optimization.
8 715 0.682724276874 Henry Cohn, 2025, needs more optimization.
8 716 0.683299678822 Henry Cohn, 2025, needs more optimization.
8 717 0.683347815941 Henry Cohn, 2025, needs more optimization.
8 718 0.684191236637 Henry Cohn, 2025, needs more optimization.
8 720 0.684198725768 Henry Cohn, 2025, needs more optimization.
8 721 0.684209256236 Henry Cohn, 2025, needs more optimization.
8 722 0.684552996041 Henry Cohn, 2025, needs more optimization.
8 723 0.684597203485 Henry Cohn, 2025, needs more optimization.
8 724 0.685637290899 Henry Cohn, 2025, needs more optimization.
8 725 0.685637349113 Henry Cohn, 2025, needs more optimization.
8 727 0.685651013687 Henry Cohn, 2025, needs more optimization.
8 728 0.686655440089 Henry Cohn, 2025, needs more optimization.
8 730 0.686764596522 Henry Cohn, 2025, needs more optimization.
8 731 0.687195507005 Henry Cohn, 2025, needs more optimization.
8 732 0.687199858892 Henry Cohn, 2025, needs more optimization.
8 733 0.687563822397 Henry Cohn, 2025, needs more optimization.
8 734 0.687566585881 Henry Cohn, 2025, needs more optimization.
8 735 0.687573683535 Henry Cohn, 2025, needs more optimization.
8 736 0.687595156374 Henry Cohn, 2025, needs more optimization.
8 737 0.688320161391 Henry Cohn, 2025, needs more optimization.
8 739 0.688340073834 Henry Cohn, 2025, needs more optimization.
8 741 0.688352439514 Henry Cohn, 2025, needs more optimization.
8 742 0.688390759878 Henry Cohn, 2025, needs more optimization.
8 743 0.689087386175 Henry Cohn, 2025, needs more optimization.
8 744 0.689093364046 Henry Cohn, 2025, needs more optimization.
8 745 0.689245371248 Henry Cohn, 2025, needs more optimization.
8 746 0.689257208969 Henry Cohn, 2025, needs more optimization.
8 747 0.689285686948 Henry Cohn, 2025, needs more optimization.
8 748 0.689650119683 Henry Cohn, 2025, needs more optimization.
8 749 0.689654681524 Henry Cohn, 2025, needs more optimization.
8 751 0.689712820395 Henry Cohn, 2025, needs more optimization.
8 752 0.690235109634 Henry Cohn, 2025, needs more optimization.
8 753 0.690236077242 Henry Cohn, 2025, needs more optimization.
8 754 0.690249738820 Henry Cohn, 2025, needs more optimization.
8 756 0.690254002412 Henry Cohn, 2025, needs more optimization.
8 757 0.690262706824 Henry Cohn, 2025, needs more optimization.
8 758 0.690269097024 Henry Cohn, 2025, needs more optimization.
8 760 0.690275149052 Henry Cohn, 2025, needs more optimization.
8 761 0.690423995807 Henry Cohn, 2025, needs more optimization.
8 762 0.690931028446 Henry Cohn, 2025, needs more optimization.
8 763 0.690985339857 Henry Cohn, 2025, needs more optimization.
8 764 0.691649582708 Henry Cohn, 2025, needs more optimization.
8 765 0.691657242200 Henry Cohn, 2025, needs more optimization.
8 766 0.691660459895 Henry Cohn, 2025, needs more optimization.
8 767 0.691733318685 Henry Cohn, 2025, needs more optimization.
8 768 0.691738086675 Henry Cohn, 2025, needs more optimization.
8 770 0.691756855104 Henry Cohn, 2025, needs more optimization.
8 771 0.691764059186 Henry Cohn, 2025, needs more optimization.
8 772 0.691769701878 Henry Cohn, 2025, needs more optimization.
8 773 0.692188715910 Henry Cohn, 2025, needs more optimization.
8 774 0.692427638048 Henry Cohn, 2025, needs more optimization.
8 775 0.692465210450 Henry Cohn, 2025, needs more optimization.
8 776 0.692504341903 Henry Cohn, 2025, needs more optimization.
8 777 0.692507780945 Henry Cohn, 2025, needs more optimization.
8 778 0.692685446443 Henry Cohn, 2025, needs more optimization.
8 779 0.692696406897 Henry Cohn, 2025, needs more optimization.
8 780 0.692703051394 Henry Cohn, 2025, needs more optimization.
8 781 0.692707887399 Henry Cohn, 2025, needs more optimization.
8 782 0.692758858442 Henry Cohn, 2025, needs more optimization.
8 783 0.692780451895 Henry Cohn, 2025, needs more optimization.
8 784 0.692817786168 Henry Cohn, 2025, needs more optimization.
8 785 0.693746730553 Henry Cohn, 2025, needs more optimization.
8 786 0.693749065175 Henry Cohn, 2025, needs more optimization.
8 787 0.693809101014 Henry Cohn, 2025, needs more optimization.
8 788 0.693820391069 Henry Cohn, 2025, needs more optimization.
8 789 0.694271052652 Henry Cohn, 2025, needs more optimization.
8 790 0.694297113974 Henry Cohn, 2025, needs more optimization.
8 791 0.694304362807 Henry Cohn, 2025, needs more optimization.
8 792 0.694317963429 Henry Cohn, 2025, needs more optimization.
8 794 0.694664633550 Henry Cohn, 2025, needs more optimization.
8 795 0.694703983569 Henry Cohn, 2025, needs more optimization.
8 797 0.694715522952 Henry Cohn, 2025, needs more optimization.
8 799 0.694912235139 Henry Cohn, 2025, needs more optimization.
8 800 0.695331096435 Henry Cohn, 2025, needs more optimization.
8 801 0.695383678268 Henry Cohn, 2025, needs more optimization.
8 802 0.695653080170 Henry Cohn, 2025, needs more optimization.
8 803 0.695703246342 Henry Cohn, 2025, needs more optimization.
8 804 0.696078886015 Henry Cohn, 2025, needs more optimization.
8 805 0.696404294257 Henry Cohn, 2025, needs more optimization.
8 806 0.696420678624 Henry Cohn, 2025, needs more optimization.
8 807 0.696427726754 Henry Cohn, 2025, needs more optimization.
8 808 0.696450883362 Henry Cohn, 2025, needs more optimization.
8 809 0.696493755900 Henry Cohn, 2025, needs more optimization.
8 810 0.696527868450 Henry Cohn, 2025, needs more optimization.
8 811 0.696772294525 Henry Cohn, 2025, needs more optimization.
8 812 0.696772875652 Henry Cohn, 2025, needs more optimization.
8 813 0.696926164631 Henry Cohn, 2025, needs more optimization.
8 814 0.697612546310 Henry Cohn, 2025, needs more optimization.
8 815 0.697613780682 Henry Cohn, 2025, needs more optimization.
8 817 0.697625402129 Henry Cohn, 2025, needs more optimization.
8 818 0.697635270970 Henry Cohn, 2025, needs more optimization.
8 819 0.697656849098 Henry Cohn, 2025, needs more optimization.
8 820 0.697735882156 Henry Cohn, 2025, needs more optimization.
8 821 0.697770280526 Henry Cohn, 2025, needs more optimization.
8 822 0.698096884954 Henry Cohn, 2025, needs more optimization.
8 823 0.698109445083 Henry Cohn, 2025, needs more optimization.
8 824 0.698158922001 Henry Cohn, 2025, needs more optimization.
8 825 0.698171458389 Henry Cohn, 2025, needs more optimization.
8 826 0.698267233858 Henry Cohn, 2025, needs more optimization.
8 827 0.698680526523 Henry Cohn, 2025, needs more optimization.
8 828 0.698686366435 Henry Cohn, 2025, needs more optimization.
8 829 0.698698277435 Henry Cohn, 2025, needs more optimization.
8 830 0.699228866288 Henry Cohn, 2025, needs more optimization.
8 831 0.699234165554 Henry Cohn, 2025, needs more optimization.
8 833 0.699236866590 Henry Cohn, 2025, needs more optimization.
8 834 0.699242723933 Henry Cohn, 2025, needs more optimization.
8 835 0.699541731401 Henry Cohn, 2025, needs more optimization.
8 837 0.699978766557 Henry Cohn, 2025, needs more optimization.
8 839 0.699989920786 Henry Cohn, 2025, needs more optimization.
8 840 0.700052149297 Henry Cohn, 2025, needs more optimization.
8 841 0.700537963096 Henry Cohn, 2025, needs more optimization.
8 842 0.700579575605 Henry Cohn, 2025, needs more optimization.
8 843 0.700580974712 Henry Cohn, 2025, needs more optimization.
8 845 0.700582454670 Henry Cohn, 2025, needs more optimization.
8 847 0.700585511073 Henry Cohn, 2025, needs more optimization.
8 848 0.700806877989 Henry Cohn, 2025, needs more optimization.
8 850 0.701194373603 Henry Cohn, 2025, needs more optimization.
8 851 0.701205442734 Henry Cohn, 2025, needs more optimization.
8 852 0.701300853845 Henry Cohn, 2025, needs more optimization.
8 853 0.701627111266 Henry Cohn, 2025, needs more optimization.
8 854 0.701647154743 Henry Cohn, 2025, needs more optimization.
8 855 0.702154387322 Henry Cohn, 2025, needs more optimization.
8 858 0.702160184811 Henry Cohn, 2025, needs more optimization.
8 859 0.702369007300 Henry Cohn, 2025, needs more optimization.
8 861 0.702639415712 Henry Cohn, 2025, needs more optimization.
8 863 0.703047455658 Henry Cohn, 2025, needs more optimization.
8 864 0.703075542271 Henry Cohn, 2025, needs more optimization.
8 865 0.703086668407 Henry Cohn, 2025, needs more optimization.
8 866 0.703089439857 Henry Cohn, 2025, needs more optimization.
8 868 0.703400832635 Henry Cohn, 2025, needs more optimization.
8 870 0.703490358965 Henry Cohn, 2025, needs more optimization.
8 871 0.703728936164 Henry Cohn, 2025, needs more optimization.
8 872 0.703754835175 Henry Cohn, 2025, needs more optimization.
8 873 0.703890487142 Henry Cohn, 2025, needs more optimization.
8 874 0.703929272417 Henry Cohn, 2025, needs more optimization.
8 875 0.703937923467 Henry Cohn, 2025, needs more optimization.
8 876 0.703952340476 Henry Cohn, 2025, needs more optimization.
8 877 0.704409953183 Henry Cohn, 2025, needs more optimization.
8 879 0.704413282221 Henry Cohn, 2025, needs more optimization.
8 880 0.704445046575 Henry Cohn, 2025, needs more optimization.
8 881 0.704454523140 Henry Cohn, 2025, needs more optimization.
8 882 0.704500987909 Henry Cohn, 2025, needs more optimization.
8 883 0.704812314689 Henry Cohn, 2025, needs more optimization.
8 884 0.704825256769 Henry Cohn, 2025, needs more optimization.
8 886 0.705062062139 Henry Cohn, 2025, needs more optimization.
8 887 0.705062193245 Henry Cohn, 2025, needs more optimization.
8 888 0.705070441205 Henry Cohn, 2025, needs more optimization.
8 889 0.705080235144 Henry Cohn, 2025, needs more optimization.
8 890 0.705113042198 Henry Cohn, 2025, needs more optimization.
8 891 0.705712899680 Henry Cohn, 2025, needs more optimization.
8 892 0.705721402518 Henry Cohn, 2025, needs more optimization.
8 893 0.705729660190 Henry Cohn, 2025, needs more optimization.
8 894 0.705734532374 Henry Cohn, 2025, needs more optimization.
8 895 0.705745173745 Henry Cohn, 2025, needs more optimization.
8 896 0.705761190193 Henry Cohn, 2025, needs more optimization.
8 897 0.705764606541 Henry Cohn, 2025, needs more optimization.
8 898 0.705821749669 Henry Cohn, 2025, needs more optimization.
8 899 0.705826852246 Henry Cohn, 2025, needs more optimization.
8 901 0.705829679270 Henry Cohn, 2025, needs more optimization.
8 903 0.705835670346 Henry Cohn, 2025, needs more optimization.
8 904 0.706104844872 Henry Cohn, 2025, needs more optimization.
8 905 0.706106342062 Henry Cohn, 2025, needs more optimization.
8 908 0.706543218819 Henry Cohn, 2025, needs more optimization.
8 909 0.706548180413 Henry Cohn, 2025, needs more optimization.
8 910 0.706549815083 Henry Cohn, 2025, needs more optimization.
8 911 0.706561407014 Henry Cohn, 2025, needs more optimization.
8 914 0.706571631333 Henry Cohn, 2025, needs more optimization.
8 915 0.707004569607 Henry Cohn, 2025, needs more optimization.
8 916 0.707012136771 Henry Cohn, 2025, needs more optimization.
8 917 0.707013838812 Henry Cohn, 2025, needs more optimization.
8 921 0.707676980279 Henry Cohn, 2025, needs more optimization.
8 922 0.707685176846 Henry Cohn, 2025, needs more optimization.
8 924 0.707694987749 Henry Cohn, 2025, needs more optimization.
8 925 0.707699987210 Henry Cohn, 2025, needs more optimization.
8 926 0.707707856101 Henry Cohn, 2025, needs more optimization.
8 927 0.707991000305 Henry Cohn, 2025, needs more optimization.
8 930 0.707996589845 Henry Cohn, 2025, needs more optimization.
8 931 0.708062645930 Henry Cohn, 2025, needs more optimization.
8 932 0.708152158409 Henry Cohn, 2025, needs more optimization.
8 933 0.708152389831 Henry Cohn, 2025, needs more optimization.
8 935 0.708475101327 Henry Cohn, 2025, needs more optimization.
8 936 0.708495267169 Henry Cohn, 2025, needs more optimization.
8 937 0.708608860965 Henry Cohn, 2025, needs more optimization.
8 941 0.708963902315 Henry Cohn, 2025, needs more optimization.
8 942 0.708984185857 Henry Cohn, 2025, needs more optimization.
8 943 0.709006787847 Henry Cohn, 2025, needs more optimization.
8 944 0.709064950292 Henry Cohn, 2025, needs more optimization.
8 945 0.709547963220 Henry Cohn, 2025, needs more optimization.
8 946 0.709556860792 Henry Cohn, 2025, needs more optimization.
8 948 0.709561805584 Henry Cohn, 2025, needs more optimization.
8 949 0.709568370738 Henry Cohn, 2025, needs more optimization.
8 950 0.709572275914 Henry Cohn, 2025, needs more optimization.
8 952 0.709580083659 Henry Cohn, 2025, needs more optimization.
8 953 0.709608087206 Henry Cohn, 2025, needs more optimization.
8 954 0.709623358917 Henry Cohn, 2025, needs more optimization.
8 955 0.710013127623 Henry Cohn, 2025, needs more optimization.
8 956 0.710025120237 Henry Cohn, 2025, needs more optimization.
8 957 0.710050481472 Henry Cohn, 2025, needs more optimization.
8 958 0.710065065018 Henry Cohn, 2025, needs more optimization.
8 960 0.710353634093 Henry Cohn, 2025, needs more optimization.
8 961 0.710362331252 Henry Cohn, 2025, needs more optimization.
8 962 0.710762505973 Henry Cohn, 2025, needs more optimization.
8 963 0.710771997081 Henry Cohn, 2025, needs more optimization.
8 966 0.710801018218 Henry Cohn, 2025, needs more optimization.
8 967 0.710811421328 Henry Cohn, 2025, needs more optimization.
8 968 0.710813719316 Henry Cohn, 2025, needs more optimization.
8 969 0.710847532911 Henry Cohn, 2025, needs more optimization.
8 970 0.710949866180 Henry Cohn, 2025, needs more optimization.
8 971 0.711451495099 Henry Cohn, 2025, needs more optimization.
8 972 0.711499511383 Henry Cohn, 2025, needs more optimization.
8 973 0.711518517545 Henry Cohn, 2025, needs more optimization.
8 974 0.711571576014 Henry Cohn, 2025, needs more optimization.
8 976 0.711592615640 Henry Cohn, 2025, needs more optimization.
8 977 0.711611710434 Henry Cohn, 2025, needs more optimization.
8 978 0.711700648437 Henry Cohn, 2025, needs more optimization.
8 979 0.711962486346 Henry Cohn, 2025, needs more optimization.
8 980 0.711977318026 Henry Cohn, 2025, needs more optimization.
8 981 0.712057436736 Henry Cohn, 2025, needs more optimization.
8 983 0.712080270091 Henry Cohn, 2025, needs more optimization.
8 984 0.712099605102 Henry Cohn, 2025, needs more optimization.
8 986 0.712394668618 Henry Cohn, 2025, needs more optimization.
8 987 0.712408844609 Henry Cohn, 2025, needs more optimization.
8 988 0.712474726262 Henry Cohn, 2025, needs more optimization.
8 989 0.712714678610 Henry Cohn, 2025, needs more optimization.
8 991 0.713110115099 Henry Cohn, 2025, needs more optimization.
8 995 0.713130158410 Henry Cohn, 2025, needs more optimization.
8 996 0.713140398164 Henry Cohn, 2025, needs more optimization.
8 1024 0.714285714286 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−5
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 0.149930200077 H. Cohn, Small spherical and projective codes, data set, updated 2024, 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, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
5⁢x−1
9 37 0.213781681584 Henry Cohn, 2025.
9 38 0.217703240659 Henry Cohn, 2025.
9 39 0.222837046412 Henry Cohn, 2023.
9 40 0.225704407232 Henry Cohn, 2023.
9 41 0.230353619603 Henry Cohn, 2023.
9 42 0.231125263657 Henry Cohn, 2024.
9 43 0.231201190091 Henry Cohn, 2023.
9 44 0.233554527157 Henry Cohn, 2025.
9 47 0.238172399483 Henry Cohn, 2023.
335⁢x2−42⁢x−9
9 48 0.254741665820 Henry Cohn, 2025.
9 49 0.261827927697 Henry Cohn, 2023.
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 55 0.273480785193 Henry Cohn, 2024.
576⁢x4+576⁢x3−768⁢x2−24⁢x+49
9 56 0.287378710663 Henry Cohn, 2023.
9 57 0.290508376519 Henry Cohn, 2024.
9 58 0.294003724264 Henry Cohn, 2024.
9 59 0.294328630820 Henry Cohn, 2024.
9 60 0.297651969467 Henry Cohn, 2023.
9 61 0.297700422270 Henry Cohn, 2023.
9 62 0.299745509902 Henry Cohn, 2025.
9 63 0.302965654232 Henry Cohn, 2025.
9 64 0.306653313780 Henry Cohn, 2023.
9 65 0.310507876130 Henry Cohn, 2025.
9 66 0.314219501967 Henry Cohn, 2024.
9 67 0.319328524370 Henry Cohn, 2025.
9 68 0.322085809494 Henry Cohn, 2025.
9 69 0.324726482408 Henry Cohn, 2025.
9 70 0.329010021405 Henry Cohn, 2025.
9 71 0.329914915092 Henry Cohn, 2025.
9 72 0.330036093460 Henry Cohn, 2025, needs more optimization.
9 73 0.330041808451 Henry Cohn, 2025, needs more optimization.
9 74 0.330112547842 Henry Cohn, 2025.
9 75 0.330112963904 Henry Cohn, 2025, needs more optimization.
9 76 0.330113020426 Henry Cohn, 2024.
9 77 0.330113020428 Henry Cohn, 2025.
9 78 0.330908012656 Henry Cohn, 2025.
9 79 0.330918543665 Henry Cohn, 2024.
9 80 0.332977706545 Henry Cohn, 2025.
9 96 0.333333333334 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.
3⁢x−1
9 97 0.371099110252 Henry Cohn, 2024.
9 98 0.372095101498 Henry Cohn, 2025.
9 99 0.378708142507 Henry Cohn, 2024, needs more optimization.
9 100 0.378761448559 Henry Cohn, 2025.
9 101 0.378781767323 Henry Cohn, 2025, needs more optimization.
9 102 0.378797075313 Henry Cohn, 2025.
9 103 0.379137095161 Henry Cohn, 2025, needs more optimization.
9 104 0.379150508820 Henry Cohn, 2025, needs more optimization.
9 105 0.394608572168 Henry Cohn, 2025, needs more optimization.
9 106 0.396912182096 Henry Cohn, 2025, needs more optimization.
9 107 0.398215744983 Henry Cohn, 2025, needs more optimization.
9 108 0.400231516523 Henry Cohn, 2025, needs more optimization.
9 109 0.403066009956 Henry Cohn, 2025, needs more optimization.
9 110 0.405670666001 Henry Cohn, 2025, needs more optimization.
9 111 0.408456214852 Henry Cohn, 2025, needs more optimization.
9 112 0.408943123659 Henry Cohn, 2025, needs more optimization.
9 114 0.413489857176 Henry Cohn, 2025, needs more optimization.
9 115 0.413922193926 Henry Cohn, 2025, needs more optimization.
9 116 0.415014655854 Henry Cohn, 2025, needs more optimization.
9 117 0.415370125891 Henry Cohn, 2025, needs more optimization.
9 118 0.417407835918 Henry Cohn, 2025, needs more optimization.
9 119 0.417762352416 Henry Cohn, 2025, needs more optimization.
9 120 0.419113734602 Henry Cohn, 2025, needs more optimization.
9 121 0.419617435406 Henry Cohn, 2025, needs more optimization.
9 122 0.420508756725 Henry Cohn, 2025, needs more optimization.
9 123 0.421938387983 Henry Cohn, 2025, needs more optimization.
9 124 0.423328320294 Henry Cohn, 2025, needs more optimization.
9 125 0.423838798178 Henry Cohn, 2025, 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
9 165 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 0.463818883842 Henry Cohn, 2025, needs more optimization.
9 167 0.468992873149 Henry Cohn, 2025, needs more optimization.
9 168 0.469018238952 Henry Cohn, 2025, needs more optimization.
9 169 0.470263240172 Henry Cohn, 2025, needs more optimization.
9 170 0.470498659265 Henry Cohn, 2025, needs more optimization.
9 171 0.471422712730 Henry Cohn, 2025, needs more optimization.
9 172 0.473513540940 Henry Cohn, 2025, needs more optimization.
9 173 0.473517238507 Henry Cohn, 2025, needs more optimization.
9 174 0.473719599170 Henry Cohn, 2025, needs more optimization.
9 175 0.474987194692 Henry Cohn, 2025, needs more optimization.
9 176 0.475040556080 Henry Cohn, 2025, needs more optimization.
9 177 0.476417504357 Henry Cohn, 2025, needs more optimization.
9 178 0.476430956875 Henry Cohn, 2025, needs more optimization.
9 179 0.476698882533 Henry Cohn, 2025, needs more optimization.
9 181 0.477028473883 Henry Cohn, 2025, needs more optimization.
9 182 0.477048151538 Henry Cohn, 2025, needs more optimization.
9 183 0.478016746733 Henry Cohn, 2025, needs more optimization.
9 184 0.478451070268 Henry Cohn, 2025, needs more optimization.
9 185 0.479672074683 Henry Cohn, 2025, needs more optimization.
9 186 0.479784521686 Henry Cohn, 2025, needs more optimization.
9 187 0.479947629669 Henry Cohn, 2025, needs more optimization.
9 188 0.480058083370 Henry Cohn, 2025, needs more optimization.
9 189 0.480547480970 Henry Cohn, 2025, needs more optimization.
9 190 0.480690486558 Henry Cohn, 2025, needs more optimization.
9 191 0.481423660967 Henry Cohn, 2025, needs more optimization.
9 192 0.482465915658 Henry Cohn, 2025, needs more optimization.
9 193 0.483161678356 Henry Cohn, 2025, needs more optimization.
9 194 0.485013568368 Henry Cohn, 2025, needs more optimization.
9 195 0.485049758004 Henry Cohn, 2025, needs more optimization.
9 196 0.485071689430 Henry Cohn, 2025, needs more optimization.
9 197 0.485419552867 Henry Cohn, 2025, needs more optimization.
9 199 0.486721904278 Henry Cohn, 2025, needs more optimization.
9 200 0.487051511630 Henry Cohn, 2025, needs more optimization.
9 201 0.487395680987 Henry Cohn, 2025, needs more optimization.
9 202 0.488576262040 Henry Cohn, 2025, needs more optimization.
9 203 0.488936091957 Henry Cohn, 2025, needs more optimization.
9 204 0.489203903531 Henry Cohn, 2025, needs more optimization.
9 205 0.491817020622 Henry Cohn, 2025, needs more optimization.
9 206 0.492730614704 Henry Cohn, 2025, needs more optimization.
9 207 0.493282066602 Henry Cohn, 2025, needs more optimization.
9 208 0.493691522300 Henry Cohn, 2025, needs more optimization.
9 209 0.493982811920 Henry Cohn, 2025, needs more optimization.
9 210 0.494240714887 Henry Cohn, 2025, needs more optimization.
9 211 0.494368742971 Henry Cohn, 2025, needs more optimization.
9 214 0.495488661796 Henry Cohn, 2025, 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 0.517341896236 Henry Cohn, 2024, needs more optimization.
9 308 0.527038359247 Henry Cohn, 2025, needs more optimization.
9 309 0.528129627928 Henry Cohn, 2025, needs more optimization.
9 311 0.536081422599 Henry Cohn, 2025, needs more optimization.
9 314 0.536129423307 Henry Cohn, 2025, needs more optimization.
9 315 0.536754266934 Henry Cohn, 2025, needs more optimization.
9 316 0.536763015062 Henry Cohn, 2025, needs more optimization.
9 317 0.536775369372 Henry Cohn, 2025, needs more optimization.
9 318 0.536799577609 Henry Cohn, 2025, needs more optimization.
9 319 0.536805824863 Henry Cohn, 2025, needs more optimization.
9 322 0.536809663363 Henry Cohn, 2025, needs more optimization.
9 330 0.536841662552 Henry Cohn, 2025, needs more optimization.
9 331 0.536842517231 Henry Cohn, 2025, needs more optimization.
9 332 0.536873025733 Henry Cohn, 2025, needs more optimization.
9 333 0.537239953367 Henry Cohn, 2025, needs more optimization.
9 334 0.537943633154 Henry Cohn, 2025, needs more optimization.
9 335 0.537980963430 Henry Cohn, 2025, needs more optimization.
9 337 0.540140136178 Henry Cohn, 2025, needs more optimization.
9 338 0.541254001703 Henry Cohn, 2025, needs more optimization.
9 340 0.543920185019 Henry Cohn, 2025, needs more optimization.
9 341 0.544090835388 Henry Cohn, 2025, 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
9 612 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 0.614628714083 Henry Cohn, 2025, needs more optimization.
9 614 0.614795852151 Henry Cohn, 2025, needs more optimization.
9 615 0.614946895460 Henry Cohn, 2025, needs more optimization.
9 616 0.615175809459 Henry Cohn, 2025, needs more optimization.
9 617 0.616080912969 Henry Cohn, 2025, needs more optimization.
9 618 0.616093328270 Henry Cohn, 2025, needs more optimization.
9 619 0.616436132892 Henry Cohn, 2025, 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 0.642621614971 Henry Cohn, 2025, needs more optimization.
9 724 0.642763473667 Henry Cohn, 2025, needs more optimization.
9 725 0.642942346565 Henry Cohn, 2025, needs more optimization.
9 726 0.643203913909 Henry Cohn, 2025, needs more optimization.
9 727 0.643264138767 Henry Cohn, 2025, needs more optimization.
9 728 0.643368254580 Henry Cohn, 2025, needs more optimization.
9 729 0.643669813440 Henry Cohn, 2025, needs more optimization.
9 730 0.643682075440 Henry Cohn, 2025, needs more optimization.
9 731 0.643709726592 Henry Cohn, 2025, needs more optimization.
9 732 0.643714907453 Henry Cohn, 2025, needs more optimization.
9 733 0.643980862895 Henry Cohn, 2025, needs more optimization.
9 735 0.644276242524 Henry Cohn, 2025, needs more optimization.
9 736 0.644497047906 Henry Cohn, 2025, needs more optimization.
9 737 0.644577686472 Henry Cohn, 2025, needs more optimization.
9 738 0.644591982068 Henry Cohn, 2025, needs more optimization.
9 739 0.644986723180 Henry Cohn, 2025, needs more optimization.
9 740 0.645107975569 Henry Cohn, 2025, needs more optimization.
9 741 0.645116699616 Henry Cohn, 2025, needs more optimization.
9 742 0.645214426924 Henry Cohn, 2025, needs more optimization.
9 743 0.645222139631 Henry Cohn, 2025, needs more optimization.
9 744 0.645657377455 Henry Cohn, 2025, needs more optimization.
9 745 0.645661683498 Henry Cohn, 2025, needs more optimization.
9 746 0.645666772249 Henry Cohn, 2025, needs more optimization.
9 747 0.645677484301 Henry Cohn, 2025, needs more optimization.
9 748 0.645735509306 Henry Cohn, 2025, needs more optimization.
9 749 0.646027156156 Henry Cohn, 2025, needs more optimization.
9 750 0.646068552753 Henry Cohn, 2025, needs more optimization.
9 751 0.646119592607 Henry Cohn, 2025, needs more optimization.
9 752 0.646455821229 Henry Cohn, 2025, needs more optimization.
9 753 0.646636838574 Henry Cohn, 2025, needs more optimization.
9 754 0.646642011818 Henry Cohn, 2025, needs more optimization.
9 755 0.646655948790 Henry Cohn, 2025, needs more optimization.
9 756 0.646813383465 Henry Cohn, 2025, needs more optimization.
9 757 0.647021021451 Henry Cohn, 2025, needs more optimization.
9 758 0.647192294324 Henry Cohn, 2025, needs more optimization.
9 759 0.647418149417 Henry Cohn, 2025, needs more optimization.
9 760 0.647424801458 Henry Cohn, 2025, needs more optimization.
9 761 0.647455581556 Henry Cohn, 2025, needs more optimization.
9 762 0.647503916465 Henry Cohn, 2025, needs more optimization.
9 763 0.647891751648 Henry Cohn, 2025, needs more optimization.
9 764 0.647913945875 Henry Cohn, 2025, needs more optimization.
9 765 0.648153662294 Henry Cohn, 2025, needs more optimization.
9 766 0.648179398056 Henry Cohn, 2025, needs more optimization.
9 767 0.648205669668 Henry Cohn, 2025, needs more optimization.
9 768 0.648278792066 Henry Cohn, 2025, needs more optimization.
9 769 0.648506064480 Henry Cohn, 2025, needs more optimization.
9 770 0.648527170367 Henry Cohn, 2025, needs more optimization.
9 771 0.648980224016 Henry Cohn, 2025, needs more optimization.
9 772 0.648988862690 Henry Cohn, 2025, needs more optimization.
9 773 0.649001453595 Henry Cohn, 2025, needs more optimization.
9 774 0.649052638921 Henry Cohn, 2025, needs more optimization.
9 776 0.649338681187 Henry Cohn, 2025, needs more optimization.
9 777 0.649384395508 Henry Cohn, 2025, needs more optimization.
9 778 0.649393785719 Henry Cohn, 2025, needs more optimization.
9 779 0.649893766152 Henry Cohn, 2025, needs more optimization.
9 780 0.649924079901 Henry Cohn, 2025, needs more optimization.
9 781 0.649983318032 Henry Cohn, 2025, needs more optimization.
9 782 0.650115707659 Henry Cohn, 2025, needs more optimization.
9 783 0.650177979593 Henry Cohn, 2025, needs more optimization.
9 784 0.650178861388 Henry Cohn, 2025, needs more optimization.
9 785 0.650209071935 Henry Cohn, 2025, needs more optimization.
9 786 0.650694283765 Henry Cohn, 2025, needs more optimization.
9 787 0.650727478554 Henry Cohn, 2025, needs more optimization.
9 788 0.650763659546 Henry Cohn, 2025, needs more optimization.
9 789 0.650845223621 Henry Cohn, 2025, needs more optimization.
9 790 0.651077270625 Henry Cohn, 2025, needs more optimization.
9 791 0.651297099799 Henry Cohn, 2025, needs more optimization.
9 792 0.651301357390 Henry Cohn, 2025, needs more optimization.
9 793 0.651428922736 Henry Cohn, 2025, needs more optimization.
9 794 0.651530679661 Henry Cohn, 2025, needs more optimization.
9 795 0.651650729064 Henry Cohn, 2025, needs more optimization.
9 797 0.651683050917 Henry Cohn, 2025, needs more optimization.
9 798 0.651902962494 Henry Cohn, 2025, needs more optimization.
9 799 0.652152977981 Henry Cohn, 2025, needs more optimization.
9 800 0.652163786169 Henry Cohn, 2025, needs more optimization.
9 801 0.652219321932 Henry Cohn, 2025, needs more optimization.
9 802 0.652274917244 Henry Cohn, 2025, needs more optimization.
9 803 0.652524155862 Henry Cohn, 2025, needs more optimization.
9 804 0.652552668565 Henry Cohn, 2025, needs more optimization.
9 805 0.652558339614 Henry Cohn, 2025, needs more optimization.
9 806 0.652909409331 Henry Cohn, 2025, needs more optimization.
9 807 0.652911569240 Henry Cohn, 2025, needs more optimization.
9 808 0.652958380106 Henry Cohn, 2025, needs more optimization.
9 809 0.653154055619 Henry Cohn, 2025, needs more optimization.
9 810 0.653167931264 Henry Cohn, 2025, needs more optimization.
9 811 0.653243997391 Henry Cohn, 2025, needs more optimization.
9 812 0.653369918581 Henry Cohn, 2025, needs more optimization.
9 813 0.653468008252 Henry Cohn, 2025, needs more optimization.
9 814 0.653679949265 Henry Cohn, 2025, needs more optimization.
9 815 0.653810905202 Henry Cohn, 2025, needs more optimization.
9 816 0.653824496532 Henry Cohn, 2025, needs more optimization.
9 817 0.653850602560 Henry Cohn, 2025, needs more optimization.
9 818 0.653922630908 Henry Cohn, 2025, needs more optimization.
9 819 0.654183709186 Henry Cohn, 2025, needs more optimization.
9 820 0.654190423649 Henry Cohn, 2025, needs more optimization.
9 821 0.654238087169 Henry Cohn, 2025, needs more optimization.
9 822 0.654258849453 Henry Cohn, 2025, needs more optimization.
9 823 0.654391315013 Henry Cohn, 2025, needs more optimization.
9 824 0.654609567956 Henry Cohn, 2025, needs more optimization.
9 825 0.654615045723 Henry Cohn, 2025, needs more optimization.
9 826 0.654828197013 Henry Cohn, 2025, needs more optimization.
9 827 0.655001908643 Henry Cohn, 2025, needs more optimization.
9 828 0.655004842296 Henry Cohn, 2025, needs more optimization.
9 829 0.655220733720 Henry Cohn, 2025, needs more optimization.
9 830 0.655444201291 Henry Cohn, 2025, needs more optimization.
9 831 0.655452996217 Henry Cohn, 2025, needs more optimization.
9 832 0.655469084500 Henry Cohn, 2025, needs more optimization.
9 833 0.655679432859 Henry Cohn, 2025, needs more optimization.
9 834 0.655684380911 Henry Cohn, 2025, needs more optimization.
9 835 0.655954363330 Henry Cohn, 2025, needs more optimization.
9 836 0.656137646020 Henry Cohn, 2025, needs more optimization.
9 837 0.656271111274 Henry Cohn, 2025, needs more optimization.
9 838 0.656293113409 Henry Cohn, 2025, needs more optimization.
9 839 0.656381725590 Henry Cohn, 2025, needs more optimization.
9 840 0.656565559996 Henry Cohn, 2025, needs more optimization.
9 842 0.656812710999 Henry Cohn, 2025, needs more optimization.
9 843 0.657094840560 Henry Cohn, 2025, needs more optimization.
9 844 0.657098253250 Henry Cohn, 2025, needs more optimization.
9 845 0.657208605166 Henry Cohn, 2025, needs more optimization.
9 846 0.657393872630 Henry Cohn, 2025, needs more optimization.
9 847 0.657415668854 Henry Cohn, 2025, needs more optimization.
9 848 0.657420127564 Henry Cohn, 2025, needs more optimization.
9 849 0.657451067624 Henry Cohn, 2025, needs more optimization.
9 850 0.657531881331 Henry Cohn, 2025, needs more optimization.
9 851 0.657751538905 Henry Cohn, 2025, needs more optimization.
9 853 0.657807774320 Henry Cohn, 2025, needs more optimization.
9 854 0.657818197729 Henry Cohn, 2025, needs more optimization.
9 855 0.658005911534 Henry Cohn, 2025, needs more optimization.
9 856 0.658355759186 Henry Cohn, 2025, needs more optimization.
9 857 0.658392377535 Henry Cohn, 2025, needs more optimization.
9 858 0.658608895143 Henry Cohn, 2025, needs more optimization.
9 859 0.658612838651 Henry Cohn, 2025, needs more optimization.
9 860 0.658839002912 Henry Cohn, 2025, needs more optimization.
9 861 0.658839041199 Henry Cohn, 2025, needs more optimization.
9 862 0.659031437873 Henry Cohn, 2025, needs more optimization.
9 863 0.659050663394 Henry Cohn, 2025, needs more optimization.
9 864 0.659268575009 Henry Cohn, 2025, needs more optimization.
9 865 0.659346450648 Henry Cohn, 2025, needs more optimization.
9 866 0.659356134011 Henry Cohn, 2025, needs more optimization.
9 867 0.659596260615 Henry Cohn, 2025, needs more optimization.
9 868 0.659605999850 Henry Cohn, 2025, needs more optimization.
9 869 0.659635076536 Henry Cohn, 2025, needs more optimization.
9 870 0.659786111436 Henry Cohn, 2025, needs more optimization.
9 871 0.659790551741 Henry Cohn, 2025, needs more optimization.
9 872 0.660020451918 Henry Cohn, 2025, needs more optimization.
9 873 0.660131662979 Henry Cohn, 2025, needs more optimization.
9 874 0.660231825451 Henry Cohn, 2025, needs more optimization.
9 875 0.660496460111 Henry Cohn, 2025, needs more optimization.
9 876 0.660501407204 Henry Cohn, 2025, needs more optimization.
9 877 0.660503958980 Henry Cohn, 2025, needs more optimization.
9 878 0.660529606642 Henry Cohn, 2025, needs more optimization.
9 879 0.660588580307 Henry Cohn, 2025, needs more optimization.
9 880 0.660634906279 Henry Cohn, 2025, needs more optimization.
9 881 0.660978589889 Henry Cohn, 2025, needs more optimization.
9 882 0.661024368372 Henry Cohn, 2025, needs more optimization.
9 883 0.661040763292 Henry Cohn, 2025, needs more optimization.
9 884 0.661159241271 Henry Cohn, 2025, needs more optimization.
9 885 0.661243753050 Henry Cohn, 2025, needs more optimization.
9 886 0.661245362443 Henry Cohn, 2025, needs more optimization.
9 887 0.661371388891 Henry Cohn, 2025, needs more optimization.
9 888 0.661649138758 Henry Cohn, 2025, needs more optimization.
9 889 0.661698386742 Henry Cohn, 2025, needs more optimization.
9 890 0.661736930393 Henry Cohn, 2025, needs more optimization.
9 891 0.661745403789 Henry Cohn, 2025, needs more optimization.
9 892 0.661937655230 Henry Cohn, 2025, needs more optimization.
9 893 0.661993639527 Henry Cohn, 2025, needs more optimization.
9 894 0.662036484713 Henry Cohn, 2025, needs more optimization.
9 895 0.662247016230 Henry Cohn, 2025, needs more optimization.
9 896 0.662283999657 Henry Cohn, 2025, needs more optimization.
9 897 0.662310445630 Henry Cohn, 2025, needs more optimization.
9 898 0.662527580512 Henry Cohn, 2025, needs more optimization.
9 899 0.662539429737 Henry Cohn, 2025, needs more optimization.
9 900 0.662636148718 Henry Cohn, 2025, needs more optimization.
9 901 0.662642382986 Henry Cohn, 2025, needs more optimization.
9 902 0.663094849224 Henry Cohn, 2025, needs more optimization.
9 903 0.663138901634 Henry Cohn, 2025, needs more optimization.
9 904 0.663168654233 Henry Cohn, 2025, needs more optimization.
9 905 0.663186631313 Henry Cohn, 2025, needs more optimization.
9 906 0.663322991313 Henry Cohn, 2025, needs more optimization.
9 907 0.663376500633 Henry Cohn, 2025, needs more optimization.
9 908 0.663416417632 Henry Cohn, 2025, needs more optimization.
9 909 0.663585306296 Henry Cohn, 2025, needs more optimization.
9 910 0.663645618580 Henry Cohn, 2025, needs more optimization.
9 911 0.663885454483 Henry Cohn, 2025, needs more optimization.
9 913 0.663894859923 Henry Cohn, 2025, needs more optimization.
9 914 0.663907998282 Henry Cohn, 2025, needs more optimization.
9 915 0.664027862761 Henry Cohn, 2025, needs more optimization.
9 916 0.664224362581 Henry Cohn, 2025, needs more optimization.
9 917 0.664230593794 Henry Cohn, 2025, needs more optimization.
9 918 0.664320423773 Henry Cohn, 2025, needs more optimization.
9 919 0.664694709663 Henry Cohn, 2025, needs more optimization.
9 920 0.664708472699 Henry Cohn, 2025, needs more optimization.
9 921 0.664729861899 Henry Cohn, 2025, needs more optimization.
9 922 0.665009103329 Henry Cohn, 2025, needs more optimization.
9 923 0.665059203223 Henry Cohn, 2025, needs more optimization.
9 924 0.665091832036 Henry Cohn, 2025, needs more optimization.
9 925 0.665340972184 Henry Cohn, 2025, needs more optimization.
9 926 0.665365772605 Henry Cohn, 2025, needs more optimization.
9 927 0.665386377840 Henry Cohn, 2025, needs more optimization.
9 928 0.665655839343 Henry Cohn, 2025, needs more optimization.
9 929 0.665658867246 Henry Cohn, 2025, needs more optimization.
9 930 0.665736469099 Henry Cohn, 2025, needs more optimization.
9 931 0.666044425708 Henry Cohn, 2025, needs more optimization.
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 0.150121378576 Henry Cohn, 2025.
10 34 0.150184553789 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 0.196239644938 Henry Cohn, 2025.
10 43 0.205907349245 Henry Cohn, 2023.
10 44 0.210560157805 Henry Cohn, 2025.
10 45 0.210852888442 Henry Cohn, 2025.
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 0.216693334107 Henry Cohn, 2025.
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 0.253695768464 Henry Cohn, 2024.
10 60 0.254739840651 Henry Cohn, 2025.
10 62 0.257944905339 Henry Cohn, 2025.
10 63 0.262545886600 Henry Cohn, 2025.
10 66 0.266666666667 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
15⁢x−4
10 67 0.271303448847 Henry Cohn, 2024.
25⁢x4−20⁢x3−10⁢x2+1
10 68 0.272059391429 Henry Cohn, 2025, needs more optimization.
10 69 0.272638306809 Henry Cohn, 2025.
10 72 0.275987133320 Henry Cohn, 2024.
10 73 0.278813753189 Henry Cohn, 2024.
10 74 0.279838252095 Henry Cohn, 2025.
10 75 0.284852639993 Henry Cohn, 2024, needs more optimization.
10 76 0.286645863733 Henry Cohn, 2025.
10 77 0.288169818966 Henry Cohn, 2025.
10 78 0.296975535281 Henry Cohn, 2025.
10 79 0.303029412652 Henry Cohn, 2025.
10 80 0.304027945531 Henry Cohn, 2025.
10 81 0.314851693124 Henry Cohn, 2025.
10 82 0.317997470204 Henry Cohn, 2025, needs more optimization.
10 83 0.321363419939 Henry Cohn, 2025.
10 84 0.322229859811 Henry Cohn, 2025, needs more optimization.
10 85 0.322540330683 Henry Cohn, 2025, needs more optimization.
10 86 0.323660839047 Henry Cohn, 2025, needs more optimization.
10 87 0.324705120144 Henry Cohn, 2025.
10 88 0.324810812164 Henry Cohn, 2025.
10 89 0.325810134210 Henry Cohn, 2025, needs more optimization.
10 90 0.326810640723 Henry Cohn, 2025, needs more optimization.
10 91 0.328978458897 Henry Cohn, 2025, needs more optimization.
10 92 0.328991577759 Henry Cohn, 2025.
10 93 0.329544352718 Henry Cohn, 2025.
10 94 0.329809284888 Henry Cohn, 2024, needs more optimization.
10 95 0.329854854198 Henry Cohn, 2025, needs more optimization.
10 96 0.330315697732 Henry Cohn, 2025, needs more optimization.
10 97 0.330726362765 Henry Cohn, 2025, needs more optimization.
10 98 0.331014101524 Henry Cohn, 2025, needs more optimization.
10 99 0.331202510314 Henry Cohn, 2025, needs more optimization.
10 100 0.331255782342 Henry Cohn, 2024, needs more optimization.
10 101 0.331771929612 Henry Cohn, 2025, needs more optimization.
10 102 0.331785869642 Henry Cohn, 2025.
10 103 0.333258404202 Henry Cohn, 2025, needs more optimization.
10 104 0.333261975589 Henry Cohn, 2025, needs more optimization.
10 105 0.333276446551 Henry Cohn, 2025, needs more optimization.
10 107 0.333327625778 Henry Cohn, 2023, needs more optimization.
10 108 0.333329834036 Henry Cohn, 2023, needs more optimization.
10 109 0.335318650634 Henry Cohn, 2024, needs more optimization.
10 110 0.340620761632 Henry Cohn, 2023, needs more optimization.
10 111 0.342369261176 Henry Cohn, 2024, needs more optimization.
10 112 0.347037575649 Henry Cohn, 2023, needs more optimization.
10 113 0.348684613501 Henry Cohn, 2024, needs more optimization.
10 114 0.350518187162 Henry Cohn, 2024, needs more optimization.
10 115 0.352629567807 Henry Cohn, 2023, needs more optimization.
10 116 0.354105203846 Henry Cohn, 2025, needs more optimization.
10 117 0.360618964701 Henry Cohn, 2025, needs more optimization.
10 118 0.362516515684 Henry Cohn, 2023, needs more optimization.
10 119 0.363839826106 Henry Cohn, 2025, needs more optimization.
10 120 0.364690196304 Henry Cohn, 2025, needs more optimization.
10 121 0.365395661677 Henry Cohn, 2025, needs more optimization.
10 126 0.365564006695 Henry Cohn, 2025, needs more optimization.
10 127 0.366035053027 Henry Cohn, 2024.
10 128 0.367848093760 Henry Cohn, 2025, needs more optimization.
10 129 0.370863247508 Henry Cohn, 2025, needs more optimization.
10 130 0.371256004040 Henry Cohn, 2025, needs more optimization.
10 131 0.371350600242 Henry Cohn, 2025, needs more optimization.
10 132 0.372272319936 Henry Cohn, 2024, needs more optimization.
10 133 0.386269851219 Henry Cohn, 2025, needs more optimization.
10 134 0.390536192870 Henry Cohn, 2025, needs more optimization.
10 135 0.392564776857 Henry Cohn, 2025, needs more optimization.
10 136 0.393743252189 Henry Cohn, 2025, needs more optimization.
10 137 0.397196399231 Henry Cohn, 2025, needs more optimization.
10 138 0.398853758731 Henry Cohn, 2025, needs more optimization.
10 139 0.400740006362 Henry Cohn, 2025, needs more optimization.
10 140 0.401920375944 Henry Cohn, 2025, needs more optimization.
10 141 0.403158267053 Henry Cohn, 2025, needs more optimization.
10 142 0.404788941758 Henry Cohn, 2025, 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 0.418133630222 Henry Cohn, 2025, needs more optimization.
10 158 0.419244743770 Henry Cohn, 2025, needs more optimization.
10 159 0.419821586234 Henry Cohn, 2025, needs more optimization.
10 160 0.420652628799 Henry Cohn, 2025, needs more optimization.
10 161 0.421949661857 Henry Cohn, 2025, needs more optimization.
10 162 0.422194722490 Henry Cohn, 2025, needs more optimization.
10 163 0.423440395805 Henry Cohn, 2025, needs more optimization.
10 164 0.424463287138 Henry Cohn, 2025, needs more optimization.
10 165 0.425766890643 Henry Cohn, 2025, needs more optimization.
10 166 0.426959175619 Henry Cohn, 2025, 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 0.438812710484 Henry Cohn, 2025, needs more optimization.
10 196 0.451060501819 Henry Cohn, 2025, needs more optimization.
10 197 0.452988219562 Henry Cohn, 2025, needs more optimization.
10 198 0.453076674166 Henry Cohn, 2025, needs more optimization.
10 199 0.454213874767 Henry Cohn, 2025, needs more optimization.
10 200 0.454772851192 Henry Cohn, 2025, needs more optimization.
10 201 0.455685877215 Henry Cohn, 2025, needs more optimization.
10 202 0.456231916162 Henry Cohn, 2025, needs more optimization.
10 203 0.456728929366 Henry Cohn, 2025, needs more optimization.
10 204 0.457535363481 Henry Cohn, 2025, needs more optimization.
10 205 0.457856737078 Henry Cohn, 2025, needs more optimization.
10 206 0.458636594607 Henry Cohn, 2025, needs more optimization.
10 207 0.459612283331 Henry Cohn, 2025, needs more optimization.
10 208 0.460261109487 Henry Cohn, 2025, needs more optimization.
10 209 0.460687709006 Henry Cohn, 2025, needs more optimization.
10 210 0.461669280998 Henry Cohn, 2025, needs more optimization.
10 211 0.461810994580 Henry Cohn, 2025, needs more optimization.
10 212 0.462186967562 Henry Cohn, 2025, needs more optimization.
10 213 0.463084525295 Henry Cohn, 2025, needs more optimization.
10 214 0.463495514525 Henry Cohn, 2025, needs more optimization.
10 215 0.464218101310 Henry Cohn, 2025, needs more optimization.
10 216 0.464343553778 Henry Cohn, 2025, needs more optimization.
10 217 0.465921429644 Henry Cohn, 2025, needs more optimization.
10 218 0.466354496402 Henry Cohn, 2025, needs more optimization.
10 219 0.466865228261 Henry Cohn, 2025, needs more optimization.
10 220 0.467650310015 Henry Cohn, 2025, needs more optimization.
10 221 0.467808633945 Henry Cohn, 2025, needs more optimization.
10 222 0.468529548669 Henry Cohn, 2025, needs more optimization.
10 223 0.468608246884 Henry Cohn, 2025, needs more optimization.
10 224 0.469875629076 Henry Cohn, 2025, needs more optimization.
10 225 0.470375874987 Henry Cohn, 2025, needs more optimization.
10 226 0.470738362286 Henry Cohn, 2025, needs more optimization.
10 227 0.471186535901 Henry Cohn, 2025, needs more optimization.
10 228 0.472216075521 Henry Cohn, 2025, needs more optimization.
10 229 0.472516427613 Henry Cohn, 2025, needs more optimization.
10 230 0.473242063362 Henry Cohn, 2025, needs more optimization.
10 231 0.473888075995 Henry Cohn, 2025, needs more optimization.
10 232 0.474423486406 Henry Cohn, 2025, needs more optimization.
10 233 0.474879413956 Henry Cohn, 2025, needs more optimization.
10 234 0.475584306853 Henry Cohn, 2025, needs more optimization.
10 235 0.475897166872 Henry Cohn, 2025, needs more optimization.
10 236 0.476645410918 Henry Cohn, 2025, needs more optimization.
10 237 0.477198798329 Henry Cohn, 2025, needs more optimization.
10 238 0.477436489913 Henry Cohn, 2025, needs more optimization.
10 239 0.478396893920 Henry Cohn, 2025, needs more optimization.
10 240 0.478791387148 Henry Cohn, 2025, needs more optimization.
10 241 0.479344389669 Henry Cohn, 2025, needs more optimization.
10 242 0.479757626062 Henry Cohn, 2025, needs more optimization.
10 243 0.479879281636 Henry Cohn, 2025, needs more optimization.
10 244 0.480954547100 Henry Cohn, 2025, needs more optimization.
10 245 0.481420071889 Henry Cohn, 2025, needs more optimization.
10 246 0.481649795703 Henry Cohn, 2025, needs more optimization.
10 247 0.482247247084 Henry Cohn, 2025, needs more optimization.
10 248 0.482888526179 Henry Cohn, 2025, needs more optimization.
10 249 0.483308976941 Henry Cohn, 2025, needs more optimization.
10 250 0.483659511471 Henry Cohn, 2025, needs more optimization.
10 251 0.484032688307 Henry Cohn, 2025, needs more optimization.
10 252 0.484202804784 Henry Cohn, 2025, needs more optimization.
10 253 0.484559248718 Henry Cohn, 2025, needs more optimization.
10 254 0.485250907542 Henry Cohn, 2025, needs more optimization.
10 255 0.485454134846 Henry Cohn, 2025, needs more optimization.
10 256 0.485787917736 Henry Cohn, 2025, needs more optimization.
10 257 0.486672423361 Henry Cohn, 2025, needs more optimization.
10 258 0.486970609953 Henry Cohn, 2025, needs more optimization.
10 259 0.487061338821 Henry Cohn, 2025, needs more optimization.
10 260 0.487259770497 Henry Cohn, 2025, needs more optimization.
10 261 0.487929839871 Henry Cohn, 2025, needs more optimization.
10 262 0.488023635476 Henry Cohn, 2025, needs more optimization.
10 263 0.488239068865 Henry Cohn, 2025, needs more optimization.
10 264 0.489014652177 Henry Cohn, 2025, needs more optimization.
10 265 0.489305228798 Henry Cohn, 2025, needs more optimization.
10 266 0.489395995896 Henry Cohn, 2025, needs more optimization.
10 267 0.489406647251 Henry Cohn, 2025, needs more optimization.
10 268 0.489606972107 Henry Cohn, 2025, needs more optimization.
10 269 0.489699699255 Henry Cohn, 2025, needs more optimization.
10 270 0.489834566162 Henry Cohn, 2025, needs more optimization.
10 271 0.490501135070 Henry Cohn, 2025, needs more optimization.
10 272 0.491244721518 Henry Cohn, 2025, needs more optimization.
10 273 0.492088468032 Henry Cohn, 2025, needs more optimization.
10 274 0.492908827362 Henry Cohn, 2025, needs more optimization.
10 275 0.492974194470 Henry Cohn, 2025, needs more optimization.
10 276 0.493912577588 Henry Cohn, 2025, needs more optimization.
10 277 0.494231294583 Henry Cohn, 2025, needs more optimization.
10 278 0.494572195718 Henry Cohn, 2025, needs more optimization.
10 279 0.495169126064 Henry Cohn, 2025, needs more optimization.
10 280 0.495397736271 Henry Cohn, 2025, needs more optimization.
10 281 0.495918106224 Henry Cohn, 2025, needs more optimization.
10 282 0.496305591849 Henry Cohn, 2025, needs more optimization.
10 283 0.496872137478 Henry Cohn, 2025, needs more optimization.
10 284 0.497104039693 Henry Cohn, 2025, needs more optimization.
10 285 0.497426244126 Henry Cohn, 2025, needs more optimization.
10 286 0.497813569510 Henry Cohn, 2025, needs more optimization.
10 287 0.498194511698 Henry Cohn, 2025, needs more optimization.
10 288 0.498498353843 Henry Cohn, 2025, needs more optimization.
10 510 0.5 M. Ganzhinov, Highly symmetric lines, preprint, 2022, arXiv:2207.08266.
2⁢x−1
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
10 740 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 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 0.077296880695 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
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 0.108571212221 H. Cohn, Small spherical and projective codes, data set, updated 2024, DSpace@MIT, https://hdl.handle.net/1721.1/142661.
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 0.193276887349 Henry Cohn, 2025.
11 48 0.198581200102 Henry Cohn, 2024.
11 49 0.201349058297 Henry Cohn, 2025.
11 51 0.204957387535 Henry Cohn, 2023.
Minimal polynomial listed in plain text data
11 52 0.208005237402 Henry Cohn, 2024.
11 53 0.209837940546 Henry Cohn, 2024.
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 0.253285704081 Henry Cohn, 2025.
11 70 0.261885065789 Henry Cohn, 2025.
11 71 0.264364568340 Henry Cohn, 2025.
11 72 0.264929027267 Henry Cohn, 2025, needs more optimization.
11 88 0.267191024627 Henry Cohn, 2023.
71⁢x2−4⁢x−4
11 89 0.270038893928 Henry Cohn, 2025.
11 90 0.270038893995 Henry Cohn, 2025.
11 91 0.284308921778 Henry Cohn, 2025, needs more optimization.
11 92 0.285049189189 Henry Cohn, 2025, needs more optimization.
11 93 0.286216553275 Henry Cohn, 2025, needs more optimization.
11 94 0.287162195482 Henry Cohn, 2025.
11 95 0.308606874388 Henry Cohn, 2025.
11 96 0.310565901798 Henry Cohn, 2025.
11 97 0.313073632205 Henry Cohn, 2025, needs more optimization.
11 98 0.314665754757 Henry Cohn, 2025, needs more optimization.
11 99 0.316118728186 Henry Cohn, 2025, needs more optimization.
11 100 0.317684374124 Henry Cohn, 2025, needs more optimization.
11 101 0.319300995573 Henry Cohn, 2025, needs more optimization.
11 102 0.320489983287 Henry Cohn, 2025, needs more optimization.
11 103 0.321697578125 Henry Cohn, 2025, needs more optimization.
11 104 0.322183963287 Henry Cohn, 2025, needs more optimization.
11 105 0.322577420754 Henry Cohn, 2025, needs more optimization.
11 106 0.322797750862 Henry Cohn, 2025, needs more optimization.
11 107 0.323879977065 Henry Cohn, 2025, needs more optimization.
11 108 0.324423122709 Henry Cohn, 2025, needs more optimization.
11 109 0.324846885159 Henry Cohn, 2025, needs more optimization.
11 110 0.324886725123 Henry Cohn, 2025, needs more optimization.
11 111 0.325344373013 Henry Cohn, 2025, needs more optimization.
11 112 0.325695855025 Henry Cohn, 2025, needs more optimization.
11 113 0.327086198759 Henry Cohn, 2025, needs more optimization.
11 114 0.328293116214 Henry Cohn, 2025, needs more optimization.
11 115 0.328736321955 Henry Cohn, 2025, needs more optimization.
11 116 0.329023123305 Henry Cohn, 2025, needs more optimization.
11 117 0.329171733894 Henry Cohn, 2025, needs more optimization.
11 118 0.329593039878 Henry Cohn, 2025, needs more optimization.
11 119 0.329718399802 Henry Cohn, 2025, needs more optimization.
11 120 0.330638705815 Henry Cohn, 2025, needs more optimization.
11 121 0.330774393434 Henry Cohn, 2025, needs more optimization.
11 122 0.330957716982 Henry Cohn, 2025, needs more optimization.
11 123 0.331241660169 Henry Cohn, 2025, needs more optimization.
11 124 0.331252103509 Henry Cohn, 2025, needs more optimization.
11 125 0.333007189127 Henry Cohn, 2025, needs more optimization.
11 126 0.333227597876 Henry Cohn, 2024, needs more optimization.
11 127 0.333270861920 Henry Cohn, 2024, needs more optimization.
11 128 0.333273747639 Henry Cohn, 2024, needs more optimization.
11 129 0.333274996083 Henry Cohn, 2024, needs more optimization.
11 130 0.333276029314 Henry Cohn, 2024, needs more optimization.
11 156 0.333333333334 Henry Cohn, 2024.
3⁢x−1
11 157 0.362034800928 Henry Cohn, 2025, 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 0.387702417371 Henry Cohn, 2025, needs more optimization.
11 168 0.389322683750 Henry Cohn, 2025, needs more optimization.
11 169 0.390164355694 Henry Cohn, 2025, needs more optimization.
11 170 0.391470156576 Henry Cohn, 2025, needs more optimization.
11 171 0.392835796699 Henry Cohn, 2025, needs more optimization.
11 172 0.393647384217 Henry Cohn, 2025, needs more optimization.
11 173 0.395017527530 Henry Cohn, 2025, needs more optimization.
11 174 0.395791313909 Henry Cohn, 2025, needs more optimization.
11 175 0.396712060503 Henry Cohn, 2025, needs more optimization.
11 176 0.398320474845 Henry Cohn, 2025, needs more optimization.
11 177 0.399057853788 Henry Cohn, 2025, needs more optimization.
11 178 0.400111193039 Henry Cohn, 2025, needs more optimization.
11 179 0.401210828049 Henry Cohn, 2025, needs more optimization.
11 180 0.401968362107 Henry Cohn, 2025, needs more optimization.
11 181 0.402834072497 Henry Cohn, 2025, needs more optimization.
11 182 0.404024048903 Henry Cohn, 2025, needs more optimization.
11 183 0.404473828764 Henry Cohn, 2025, needs more optimization.
11 184 0.405659515165 Henry Cohn, 2025, needs more optimization.
11 185 0.406058033566 Henry Cohn, 2025, needs more optimization.
11 186 0.406191917009 Henry Cohn, 2025, needs more optimization.
11 187 0.406636306148 Henry Cohn, 2025, needs more optimization.
11 188 0.407324706086 Henry Cohn, 2025, needs more optimization.
11 189 0.407694672066 Henry Cohn, 2025, needs more optimization.
11 190 0.408652919610 Henry Cohn, 2025, needs more optimization.
11 191 0.408984014989 Henry Cohn, 2025, needs more optimization.
11 192 0.409517513100 Henry Cohn, 2025, needs more optimization.
11 193 0.410234485990 Henry Cohn, 2025, needs more optimization.
11 194 0.410841357016 Henry Cohn, 2025, needs more optimization.
11 195 0.411056388450 Henry Cohn, 2025, needs more optimization.
11 196 0.411550544845 Henry Cohn, 2025, needs more optimization.
11 197 0.412089065406 Henry Cohn, 2025, needs more optimization.
11 198 0.412852193821 Henry Cohn, 2025, needs more optimization.
11 199 0.413577250837 Henry Cohn, 2025, needs more optimization.
11 200 0.414329810731 Henry Cohn, 2025, needs more optimization.
11 201 0.414528490983 Henry Cohn, 2025, needs more optimization.
11 202 0.414856539441 Henry Cohn, 2025, needs more optimization.
11 203 0.415249836654 Henry Cohn, 2025, needs more optimization.
11 204 0.415605405342 Henry Cohn, 2025, needs more optimization.
11 205 0.415669065627 Henry Cohn, 2025, needs more optimization.
11 206 0.416278538943 Henry Cohn, 2025, needs more optimization.
11 207 0.417063867736 Henry Cohn, 2025, needs more optimization.
11 208 0.417786483016 Henry Cohn, 2025, needs more optimization.
11 209 0.417970495016 Henry Cohn, 2025, needs more optimization.
11 210 0.418308255159 Henry Cohn, 2025, needs more optimization.
11 211 0.418870668866 Henry Cohn, 2025, needs more optimization.
11 212 0.419880051922 Henry Cohn, 2025, needs more optimization.
11 213 0.419897599527 Henry Cohn, 2025, needs more optimization.
11 214 0.419986988980 Henry Cohn, 2025, needs more optimization.
11 215 0.420661524865 Henry Cohn, 2025, needs more optimization.
11 216 0.421657905792 Henry Cohn, 2025, needs more optimization.
11 217 0.421716829676 Henry Cohn, 2025, needs more optimization.
11 218 0.421878535769 Henry Cohn, 2025, needs more optimization.
11 219 0.422487628991 Henry Cohn, 2025, needs more optimization.
11 220 0.422860192538 Henry Cohn, 2025, needs more optimization.
11 221 0.422983053409 Henry Cohn, 2025, needs more optimization.
11 222 0.423866590852 Henry Cohn, 2025, needs more optimization.
11 223 0.423945282342 Henry Cohn, 2025, needs more optimization.
11 224 0.424744216581 Henry Cohn, 2025, needs more optimization.
11 225 0.424765649999 Henry Cohn, 2025, needs more optimization.
11 226 0.425074613879 Henry Cohn, 2025, needs more optimization.
11 227 0.425079911626 Henry Cohn, 2025, needs more optimization.
11 228 0.425304851303 Henry Cohn, 2025, needs more optimization.
11 229 0.426296671135 Henry Cohn, 2025, needs more optimization.
11 230 0.427097351173 Henry Cohn, 2025, needs more optimization.
11 231 0.427122560774 Henry Cohn, 2025, needs more optimization.
11 232 0.427315929467 Henry Cohn, 2025, needs more optimization.
11 233 0.427640491841 Henry Cohn, 2025, needs more optimization.
11 234 0.427783958306 Henry Cohn, 2025, needs more optimization.
11 235 0.428180072487 Henry Cohn, 2025, needs more optimization.
11 236 0.428926581432 Henry Cohn, 2025, needs more optimization.
11 237 0.428929968309 Henry Cohn, 2025, needs more optimization.
11 238 0.428955785442 Henry Cohn, 2025, needs more optimization.
11 239 0.429077397911 Henry Cohn, 2025, needs more optimization.
11 240 0.429098742027 Henry Cohn, 2025, needs more optimization.
11 241 0.429976476679 Henry Cohn, 2025, needs more optimization.
11 242 0.431492818050 Henry Cohn, 2025, needs more optimization.
11 243 0.434080914568 Henry Cohn, 2025, needs more optimization.
11 244 0.434162191531 Henry Cohn, 2025, needs more optimization.
11 245 0.436059387522 Henry Cohn, 2025, needs more optimization.
11 246 0.436113408484 Henry Cohn, 2025, needs more optimization.
11 247 0.437032914414 Henry Cohn, 2025, needs more optimization.
11 248 0.437120108202 Henry Cohn, 2025, needs more optimization.
11 249 0.437183959531 Henry Cohn, 2025, needs more optimization.
11 250 0.437765006292 Henry Cohn, 2025, needs more optimization.
11 252 0.437777116064 Henry Cohn, 2025, needs more optimization.
11 253 0.438195632336 Henry Cohn, 2025, needs more optimization.
11 254 0.438204564758 Henry Cohn, 2025, needs more optimization.
11 255 0.440064230328 Henry Cohn, 2025, needs more optimization.
11 256 0.440197982403 Henry Cohn, 2025, needs more optimization.
11 257 0.440537125684 Henry Cohn, 2025, needs more optimization.
11 258 0.440599544544 Henry Cohn, 2025, needs more optimization.
11 259 0.440693632928 Henry Cohn, 2025, needs more optimization.
11 260 0.440719016616 Henry Cohn, 2025, needs more optimization.
11 261 0.440941125387 Henry Cohn, 2025, needs more optimization.
11 262 0.440989926573 Henry Cohn, 2025, needs more optimization.
11 263 0.441052131164 Henry Cohn, 2025, needs more optimization.
11 264 0.441052392020 Henry Cohn, 2025, needs more optimization.
11 265 0.441093724465 Henry Cohn, 2025, needs more optimization.
11 266 0.441344651321 Henry Cohn, 2025, needs more optimization.
11 267 0.441381860053 Henry Cohn, 2025, needs more optimization.
11 268 0.441444924636 Henry Cohn, 2025, needs more optimization.
11 269 0.442803930502 Henry Cohn, 2025, needs more optimization.
11 270 0.442850509663 Henry Cohn, 2025, needs more optimization.
11 271 0.443190400514 Henry Cohn, 2025, needs more optimization.
11 272 0.443837508728 Henry Cohn, 2025, needs more optimization.
11 273 0.444965801630 Henry Cohn, 2025, needs more optimization.
11 274 0.445283340661 Henry Cohn, 2025, needs more optimization.
11 275 0.445287036349 Henry Cohn, 2025, needs more optimization.
11 276 0.445605207930 Henry Cohn, 2025, needs more optimization.
11 277 0.445700548594 Henry Cohn, 2025, needs more optimization.
11 278 0.447004098137 Henry Cohn, 2025, needs more optimization.
11 279 0.447021786547 Henry Cohn, 2025, needs more optimization.
11 280 0.447077229672 Henry Cohn, 2025, needs more optimization.
11 281 0.447177355839 Henry Cohn, 2025, needs more optimization.
11 282 0.447347410837 Henry Cohn, 2025, needs more optimization.
11 283 0.447900889594 Henry Cohn, 2025, needs more optimization.
11 285 0.447924937989 Henry Cohn, 2025, needs more optimization.
11 286 0.448034186808 Henry Cohn, 2025, needs more optimization.
11 287 0.448095370245 Henry Cohn, 2025, needs more optimization.
11 289 0.448236306903 Henry Cohn, 2025, needs more optimization.
11 290 0.448788885123 Henry Cohn, 2025, needs more optimization.
11 294 0.449783489521 Henry Cohn, 2025, needs more optimization.
11 295 0.450837860136 Henry Cohn, 2025, needs more optimization.
11 296 0.451854947658 Henry Cohn, 2025, needs more optimization.
11 297 0.457020416352 Henry Cohn, 2025, needs more optimization.
11 298 0.458385141964 Henry Cohn, 2025, needs more optimization.
11 299 0.458896756656 Henry Cohn, 2025, needs more optimization.
11 300 0.459447801120 Henry Cohn, 2025, needs more optimization.
11 301 0.459639328973 Henry Cohn, 2025, needs more optimization.
11 302 0.460203223454 Henry Cohn, 2025, needs more optimization.
11 303 0.460288477586 Henry Cohn, 2025, needs more optimization.
11 304 0.460880638837 Henry Cohn, 2025, needs more optimization.
11 305 0.461268830255 Henry Cohn, 2025, needs more optimization.
11 306 0.461721343172 Henry Cohn, 2025, needs more optimization.
11 307 0.462073644195 Henry Cohn, 2025, needs more optimization.
11 308 0.462402042402 Henry Cohn, 2025, needs more optimization.
11 309 0.462994444527 Henry Cohn, 2025, needs more optimization.
11 310 0.463544165000 Henry Cohn, 2025, needs more optimization.
11 311 0.463659643751 Henry Cohn, 2025, needs more optimization.
11 312 0.464373754314 Henry Cohn, 2025, needs more optimization.
11 313 0.464976892208 Henry Cohn, 2025, needs more optimization.
11 314 0.465091025246 Henry Cohn, 2025, needs more optimization.
11 315 0.465715320515 Henry Cohn, 2025, needs more optimization.
11 316 0.465900306780 Henry Cohn, 2025, needs more optimization.
11 317 0.465904310823 Henry Cohn, 2025, needs more optimization.
11 318 0.466097303368 Henry Cohn, 2025, needs more optimization.
11 319 0.466267282465 Henry Cohn, 2025, needs more optimization.
11 320 0.467048022018 Henry Cohn, 2025, needs more optimization.
11 321 0.467258854327 Henry Cohn, 2025, needs more optimization.
11 322 0.467511739233 Henry Cohn, 2025, needs more optimization.
11 323 0.468182878263 Henry Cohn, 2025, needs more optimization.
11 324 0.470472334177 Henry Cohn, 2025, needs more optimization.
11 325 0.471206547299 Henry Cohn, 2025, needs more optimization.
11 326 0.471702531797 Henry Cohn, 2025, needs more optimization.
11 327 0.471894887006 Henry Cohn, 2025, needs more optimization.
11 328 0.472644496519 Henry Cohn, 2025, needs more optimization.
11 329 0.472833096322 Henry Cohn, 2025, needs more optimization.
11 330 0.473098656858 Henry Cohn, 2025, needs more optimization.
11 331 0.473467506404 Henry Cohn, 2025, needs more optimization.
11 332 0.473867904590 Henry Cohn, 2025, needs more optimization.
11 333 0.473871803646 Henry Cohn, 2025, needs more optimization.
11 334 0.474236401896 Henry Cohn, 2025, needs more optimization.
11 335 0.474737814938 Henry Cohn, 2025, needs more optimization.
11 336 0.474753144644 Henry Cohn, 2025, needs more optimization.
11 337 0.475243110879 Henry Cohn, 2025, needs more optimization.
11 338 0.475609826115 Henry Cohn, 2025, needs more optimization.
11 339 0.475701250198 Henry Cohn, 2025, needs more optimization.
11 340 0.475934479081 Henry Cohn, 2025, needs more optimization.
11 341 0.476285444701 Henry Cohn, 2025, needs more optimization.
11 342 0.476354680116 Henry Cohn, 2025, needs more optimization.
11 343 0.476618421655 Henry Cohn, 2025, needs more optimization.
11 344 0.476727704774 Henry Cohn, 2025, needs more optimization.
11 345 0.476956469542 Henry Cohn, 2025, needs more optimization.
11 346 0.477309025634 Henry Cohn, 2025, needs more optimization.
11 347 0.478281760346 Henry Cohn, 2025, needs more optimization.
11 348 0.478300347621 Henry Cohn, 2025, needs more optimization.
11 349 0.479176122649 Henry Cohn, 2025, needs more optimization.
11 350 0.479210833472 Henry Cohn, 2025, needs more optimization.
11 351 0.479490035277 Henry Cohn, 2025, needs more optimization.
11 352 0.479982048056 Henry Cohn, 2025, needs more optimization.
11 353 0.480077916665 Henry Cohn, 2025, needs more optimization.
11 354 0.480183713218 Henry Cohn, 2025, needs more optimization.
11 355 0.480436888208 Henry Cohn, 2025, needs more optimization.
11 356 0.480487166888 Henry Cohn, 2025, needs more optimization.
11 357 0.480842558236 Henry Cohn, 2025, needs more optimization.
11 358 0.480902210072 Henry Cohn, 2025, needs more optimization.
11 359 0.481274495959 Henry Cohn, 2025, needs more optimization.
11 360 0.481291506240 Henry Cohn, 2025, needs more optimization.
11 361 0.481741529691 Henry Cohn, 2025, needs more optimization.
11 362 0.481995028899 Henry Cohn, 2025, needs more optimization.
11 363 0.482103941912 Henry Cohn, 2025, needs more optimization.
11 364 0.482290195550 Henry Cohn, 2025, needs more optimization.
11 365 0.482303853060 Henry Cohn, 2025, needs more optimization.
11 366 0.482501512317 Henry Cohn, 2025, needs more optimization.
11 367 0.483081473691 Henry Cohn, 2025, needs more optimization.
11 368 0.483257382984 Henry Cohn, 2025, needs more optimization.
11 369 0.483265836830 Henry Cohn, 2025, needs more optimization.
11 370 0.483583948555 Henry Cohn, 2025, needs more optimization.
11 371 0.483706899316 Henry Cohn, 2025, needs more optimization.
11 372 0.483722683915 Henry Cohn, 2025, needs more optimization.
11 373 0.484043235518 Henry Cohn, 2025, needs more optimization.
11 374 0.484099439125 Henry Cohn, 2025, needs more optimization.
11 376 0.484548885852 Henry Cohn, 2025, needs more optimization.
11 377 0.485141337715 Henry Cohn, 2025, needs more optimization.
11 378 0.485150414751 Henry Cohn, 2025, needs more optimization.
11 379 0.485977589895 Henry Cohn, 2025, needs more optimization.
11 380 0.485997626767 Henry Cohn, 2025, needs more optimization.
11 381 0.486020085020 Henry Cohn, 2025, needs more optimization.
11 382 0.486040770663 Henry Cohn, 2025, needs more optimization.
11 383 0.486097954624 Henry Cohn, 2025, needs more optimization.
11 384 0.486116013023 Henry Cohn, 2025, needs more optimization.
11 385 0.486126091016 Henry Cohn, 2025, needs more optimization.
11 386 0.486381949776 Henry Cohn, 2025, needs more optimization.
11 387 0.486469389022 Henry Cohn, 2025, needs more optimization.
11 388 0.486486010528 Henry Cohn, 2025, needs more optimization.
11 389 0.486583030662 Henry Cohn, 2025, needs more optimization.
11 390 0.486591059814 Henry Cohn, 2025, needs more optimization.
11 392 0.487465642827 Henry Cohn, 2025, needs more optimization.
11 394 0.487494424480 Henry Cohn, 2025, needs more optimization.
11 395 0.487512850215 Henry Cohn, 2025, needs more optimization.
11 396 0.487628522196 Henry Cohn, 2025, needs more optimization.
11 397 0.488370039257 Henry Cohn, 2025, needs more optimization.
11 398 0.488496619907 Henry Cohn, 2025, needs more optimization.
11 399 0.489137412774 Henry Cohn, 2025, needs more optimization.
11 400 0.489276289989 Henry Cohn, 2025, needs more optimization.
11 403 0.490221156367 Henry Cohn, 2025, needs more optimization.
11 404 0.490263292982 Henry Cohn, 2025, needs more optimization.
11 405 0.490278616419 Henry Cohn, 2025, needs more optimization.
11 406 0.491623613560 Henry Cohn, 2025, needs more optimization.
11 409 0.491882795336 Henry Cohn, 2025, needs more optimization.
11 415 0.492766455204 Henry Cohn, 2025, needs more optimization.
11 417 0.492879347160 Henry Cohn, 2025, needs more optimization.
11 418 0.493129456202 Henry Cohn, 2025, needs more optimization.
11 422 0.494014857625 Henry Cohn, 2025, needs more optimization.
11 423 0.494064141823 Henry Cohn, 2025, needs more optimization.
11 429 0.494144378366 Henry Cohn, 2025, needs more optimization.
11 430 0.494256676309 Henry Cohn, 2025, needs more optimization.
11 433 0.494505741565 Henry Cohn, 2025, needs more optimization.
11 436 0.494805934376 Henry Cohn, 2025, needs more optimization.
11 438 0.495127595501 Henry Cohn, 2025, needs more optimization.
11 439 0.496116016048 Henry Cohn, 2025, needs more optimization.
11 443 0.496368388510 Henry Cohn, 2025, needs more optimization.
11 444 0.496469241397 Henry Cohn, 2025, needs more optimization.
11 449 0.496802174615 Henry Cohn, 2025, needs more optimization.
11 450 0.497123596280 Henry Cohn, 2025, needs more optimization.
11 451 0.497232511746 Henry Cohn, 2025, needs more optimization.
11 452 0.497286037602 Henry Cohn, 2025, needs more optimization.
11 592 0.5 M. Ganzhinov, Highly symmetric lines, preprint, 2022, arXiv:2207.08266.
2⁢x−1
11 593 0.520164462851 Henry Cohn, 2025, needs more optimization.
11 594 0.520223822801 Henry Cohn, 2025, needs more optimization.
11 595 0.520286547463 Henry Cohn, 2025, needs more optimization.
11 596 0.520309364298 Henry Cohn, 2025, needs more optimization.
11 598 0.520332094366 Henry Cohn, 2025, needs more optimization.
11 599 0.520844035495 Henry Cohn, 2025, needs more optimization.
11 600 0.521217417059 Henry Cohn, 2025, needs more optimization.
11 601 0.521233799470 Henry Cohn, 2025, needs more optimization.
11 602 0.521254286142 Henry Cohn, 2025, needs more optimization.
11 604 0.521272924202 Henry Cohn, 2025, needs more optimization.
11 605 0.521318119493 Henry Cohn, 2025, needs more optimization.
11 606 0.521353070853 Henry Cohn, 2025, needs more optimization.
11 607 0.521483604597 Henry Cohn, 2025, needs more optimization.
11 608 0.521539721830 Henry Cohn, 2025, needs more optimization.
11 609 0.521630536911 Henry Cohn, 2025, needs more optimization.
11 610 0.522003355569 Henry Cohn, 2025, needs more optimization.
11 611 0.522132149131 Henry Cohn, 2025, needs more optimization.
11 612 0.523913864224 Henry Cohn, 2025, needs more optimization.
11 613 0.523938466459 Henry Cohn, 2025, needs more optimization.
11 614 0.523990930283 Henry Cohn, 2025, needs more optimization.
11 615 0.523999968859 Henry Cohn, 2025, needs more optimization.
11 616 0.524015062892 Henry Cohn, 2025, needs more optimization.
11 617 0.524032119163 Henry Cohn, 2025, needs more optimization.
11 618 0.524053419147 Henry Cohn, 2025, needs more optimization.
11 620 0.524074135041 Henry Cohn, 2025, needs more optimization.
11 621 0.524091805771 Henry Cohn, 2025, needs more optimization.
11 623 0.524098518886 Henry Cohn, 2025, needs more optimization.
11 624 0.525388613627 Henry Cohn, 2025, needs more optimization.
11 625 0.525432212313 Henry Cohn, 2025, needs more optimization.
11 626 0.525509846416 Henry Cohn, 2025, needs more optimization.
11 627 0.525529517052 Henry Cohn, 2025, needs more optimization.
11 628 0.525646563648 Henry Cohn, 2025, needs more optimization.
11 630 0.525675334596 Henry Cohn, 2025, needs more optimization.
11 631 0.525709306805 Henry Cohn, 2025, needs more optimization.
11 632 0.526042780024 Henry Cohn, 2025, needs more optimization.
11 633 0.527518518557 Henry Cohn, 2025, needs more optimization.
11 634 0.527563353190 Henry Cohn, 2025, needs more optimization.
11 636 0.527594672732 Henry Cohn, 2025, needs more optimization.
11 637 0.527722363486 Henry Cohn, 2025, needs more optimization.
11 638 0.529214921930 Henry Cohn, 2025, needs more optimization.
11 640 0.529234823457 Henry Cohn, 2025, needs more optimization.
11 641 0.529245306511 Henry Cohn, 2025, needs more optimization.
11 642 0.529274651541 Henry Cohn, 2025, needs more optimization.
11 643 0.529329490889 Henry Cohn, 2025, needs more optimization.
11 644 0.529406864323 Henry Cohn, 2025, needs more optimization.
11 645 0.529428383893 Henry Cohn, 2025, needs more optimization.
11 646 0.529444684338 Henry Cohn, 2025, needs more optimization.
11 647 0.530878718075 Henry Cohn, 2025, needs more optimization.
11 648 0.531096116327 Henry Cohn, 2025, needs more optimization.
11 649 0.531117777147 Henry Cohn, 2025, needs more optimization.
11 650 0.531139104296 Henry Cohn, 2025, needs more optimization.
11 651 0.532338954373 Henry Cohn, 2025, needs more optimization.
11 652 0.532360938427 Henry Cohn, 2025, needs more optimization.
11 654 0.532391384365 Henry Cohn, 2025, needs more optimization.
11 656 0.532396146656 Henry Cohn, 2025, needs more optimization.
11 658 0.532409658853 Henry Cohn, 2025, needs more optimization.
11 659 0.532764835706 Henry Cohn, 2025, needs more optimization.
11 660 0.532858427002 Henry Cohn, 2025, needs more optimization.
11 661 0.534392831481 Henry Cohn, 2025, needs more optimization.
11 663 0.534424777245 Henry Cohn, 2025, needs more optimization.
11 665 0.535702593944 Henry Cohn, 2025, needs more optimization.
11 666 0.535725882319 Henry Cohn, 2025, needs more optimization.
11 667 0.535746493888 Henry Cohn, 2025, needs more optimization.
11 669 0.536762245390 Henry Cohn, 2025, needs more optimization.
11 670 0.536786559175 Henry Cohn, 2025, needs more optimization.
11 672 0.536801842866 Henry Cohn, 2025, needs more optimization.
11 673 0.536806501096 Henry Cohn, 2025, needs more optimization.
11 675 0.539212892732 Henry Cohn, 2025, needs more optimization.
11 676 0.539217478701 Henry Cohn, 2025, needs more optimization.
11 677 0.539269468849 Henry Cohn, 2025, needs more optimization.
11 678 0.539300313680 Henry Cohn, 2025, needs more optimization.
11 679 0.539314256040 Henry Cohn, 2025, needs more optimization.
11 680 0.539485737666 Henry Cohn, 2025, needs more optimization.
11 681 0.539628583866 Henry Cohn, 2025, needs more optimization.
11 683 0.541618940674 Henry Cohn, 2025, needs more optimization.
11 684 0.541712984103 Henry Cohn, 2025, needs more optimization.
11 685 0.541825926645 Henry Cohn, 2025, needs more optimization.
11 687 0.541925502661 Henry Cohn, 2025, needs more optimization.
11 688 0.543063570781 Henry Cohn, 2025, needs more optimization.
11 690 0.543084027266 Henry Cohn, 2025, needs more optimization.
11 692 0.543239644761 Henry Cohn, 2025, needs more optimization.
11 693 0.544468035557 Henry Cohn, 2025, needs more optimization.
11 694 0.546013417625 Henry Cohn, 2025, needs more optimization.
11 695 0.546020822782 Henry Cohn, 2025, needs more optimization.
11 696 0.546035986670 Henry Cohn, 2025, needs more optimization.
11 697 0.546071440016 Henry Cohn, 2025, needs more optimization.
11 698 0.546909865387 Henry Cohn, 2025, needs more optimization.
11 699 0.546915672479 Henry Cohn, 2025, needs more optimization.
11 700 0.546988872705 Henry Cohn, 2025, needs more optimization.
11 701 0.547105417013 Henry Cohn, 2025, needs more optimization.
11 702 0.549155079102 Henry Cohn, 2025, needs more optimization.
11 703 0.550249089558 Henry Cohn, 2025, 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 0.588808434262 Henry Cohn, 2025, needs more optimization.
11 984 0.588848797487 Henry Cohn, 2025, needs more optimization.
11 985 0.589065956887 Henry Cohn, 2025, needs more optimization.
11 986 0.589080885292 Henry Cohn, 2025, needs more optimization.
11 987 0.589337788121 Henry Cohn, 2025, needs more optimization.
11 988 0.589476021371 Henry Cohn, 2025, needs more optimization.
11 989 0.589493230922 Henry Cohn, 2025, needs more optimization.
11 990 0.589532238094 Henry Cohn, 2025, needs more optimization.
11 991 0.589724651603 Henry Cohn, 2025, needs more optimization.
11 992 0.589738170616 Henry Cohn, 2025, needs more optimization.
11 993 0.589747194595 Henry Cohn, 2025, needs more optimization.
11 994 0.589777803169 Henry Cohn, 2025, needs more optimization.
11 996 0.589929915530 Henry Cohn, 2025, needs more optimization.
11 997 0.590217455898 Henry Cohn, 2025, needs more optimization.
11 998 0.590283571891 Henry Cohn, 2025, needs more optimization.
11 999 0.590290163347 Henry Cohn, 2025, needs more optimization.
11 1000 0.590363220364 Henry Cohn, 2025, needs more optimization.
11 1001 0.590366225530 Henry Cohn, 2025, needs more optimization.
11 1002 0.590628709920 Henry Cohn, 2025, needs more optimization.
11 1003 0.590666640488 Henry Cohn, 2025, needs more optimization.
11 1004 0.590678924447 Henry Cohn, 2025, needs more optimization.
11 1005 0.590976205146 Henry Cohn, 2025, needs more optimization.
11 1006 0.590982485521 Henry Cohn, 2025, needs more optimization.
11 1007 0.591240194031 Henry Cohn, 2025, needs more optimization.
11 1008 0.591247801593 Henry Cohn, 2025, needs more optimization.
11 1009 0.591282497506 Henry Cohn, 2025, needs more optimization.
11 1010 0.591400741854 Henry Cohn, 2025, needs more optimization.
11 1011 0.591405377429 Henry Cohn, 2025, needs more optimization.
11 1012 0.591439665581 Henry Cohn, 2025, needs more optimization.
11 1013 0.591631264119 Henry Cohn, 2025, needs more optimization.
11 1014 0.591703580773 Henry Cohn, 2025, needs more optimization.
11 1015 0.591883276887 Henry Cohn, 2025, needs more optimization.
11 1016 0.591923877355 Henry Cohn, 2025, needs more optimization.
11 1017 0.591930818857 Henry Cohn, 2025, needs more optimization.
11 1018 0.592155407540 Henry Cohn, 2025, needs more optimization.
11 1019 0.592164252037 Henry Cohn, 2025, needs more optimization.
11 1020 0.592206840351 Henry Cohn, 2025, needs more optimization.
11 1021 0.592232593156 Henry Cohn, 2025, needs more optimization.
11 1022 0.592586779414 Henry Cohn, 2025, needs more optimization.
11 1023 0.592597401095 Henry Cohn, 2025, needs more optimization.
11 1024 0.592634022820 Henry Cohn, 2025, 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, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
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 0.119914148449 Henry Cohn, 2023.
12 36 0.121731029644 Henry Cohn, 2025.
12 37 0.121971459128 Henry Cohn, 2023.
359⁢x2+30⁢x−9
12 38 0.130788914737 Henry Cohn, 2023.
63002864⁢x4+17841888⁢x3−1199448⁢x2−239112⁢x−6561
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 0.150221894102 Henry Cohn, 2024.
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 0.180095499631 Henry Cohn, 2023.
12 53 0.187411648808 Henry Cohn, 2025.
12 54 0.189746662791 Henry Cohn, 2024.
12 55 0.193425299011 Henry Cohn, 2024.
12 56 0.201062534083 Henry Cohn, 2024.
12 57 0.201958116645 Henry Cohn, 2025.
12 58 0.203960911874 Henry Cohn, 2025.
12 59 0.205166970734 Henry Cohn, 2025.
12 60 0.207656056646 Henry Cohn, 2025.
12 61 0.211404126406 Henry Cohn, 2025.
12 62 0.213863503522 Henry Cohn, 2025.
12 63 0.214216528631 Henry Cohn, 2025.
12 64 0.218883924070 Henry Cohn, 2025.
12 65 0.220878728878 Henry Cohn, 2025.
12 66 0.221276047322 Henry Cohn, 2025.
12 67 0.223179285565 Henry Cohn, 2025, needs more optimization.
12 68 0.227710896157 Henry Cohn, 2025.
12 69 0.229174986143 Henry Cohn, 2025.
12 70 0.232511614534 Henry Cohn, 2025.
12 71 0.235449366070 Henry Cohn, 2025.
12 72 0.237810387031 Henry Cohn, 2025.
12 73 0.240583639201 Henry Cohn, 2025.
12 74 0.242567743134 Henry Cohn, 2025.
12 75 0.244800730529 Henry Cohn, 2025.
12 76 0.247525915196 Henry Cohn, 2025.
12 77 0.249693441433 Henry Cohn, 2025.
12 78 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.
4⁢x−1
12 79 0.250756907143 Henry Cohn, 2025, needs more optimization.
12 80 0.252403361769 Henry Cohn, 2025, needs more optimization.
12 81 0.254138519914 Henry Cohn, 2025, needs more optimization.
12 82 0.255917698627 Henry Cohn, 2025, needs more optimization.
12 83 0.258753539788 Henry Cohn, 2025, needs more optimization.
12 84 0.259689303535 Henry Cohn, 2025, needs more optimization.
12 85 0.261342300538 Henry Cohn, 2025, needs more optimization.
12 86 0.261610514269 Henry Cohn, 2025, needs more optimization.
12 87 0.262733928387 Henry Cohn, 2025, needs more optimization.
12 88 0.262950413280 Henry Cohn, 2025, needs more optimization.
12 89 0.263151038358 Henry Cohn, 2025, needs more optimization.
12 90 0.263620185876 Henry Cohn, 2025, needs more optimization.
12 91 0.263685082098 Henry Cohn, 2025, needs more optimization.
12 92 0.265125680456 Henry Cohn, 2025, needs more optimization.
12 93 0.265660278733 Henry Cohn, 2025, needs more optimization.
12 94 0.265673423254 Henry Cohn, 2025, needs more optimization.
12 95 0.266139514800 Henry Cohn, 2025, needs more optimization.
12 96 0.266478186316 Henry Cohn, 2025, needs more optimization.
12 98 0.267180676970 Henry Cohn, 2025, needs more optimization.
12 99 0.267187624361 Henry Cohn, 2025, needs more optimization.
12 100 0.267502044159 Henry Cohn, 2025, needs more optimization.
12 101 0.268641674415 Henry Cohn, 2025, needs more optimization.
12 102 0.272455309076 Henry Cohn, 2025, needs more optimization.
12 103 0.280986772796 Henry Cohn, 2025, needs more optimization.
12 104 0.281698765440 Henry Cohn, 2025, needs more optimization.
12 105 0.283669952898 Henry Cohn, 2025, needs more optimization.
12 106 0.285320340775 Henry Cohn, 2025, needs more optimization.
12 107 0.285492800208 Henry Cohn, 2025, needs more optimization.
12 108 0.287233272501 Henry Cohn, 2025, needs more optimization.
12 109 0.288749216899 Henry Cohn, 2025, needs more optimization.
12 110 0.298952509803 Henry Cohn, 2025, needs more optimization.
12 111 0.299722299062 Henry Cohn, 2025, needs more optimization.
12 112 0.300348284838 Henry Cohn, 2025, needs more optimization.
12 113 0.301291159496 Henry Cohn, 2025, needs more optimization.
12 114 0.301875349303 Henry Cohn, 2025, needs more optimization.
12 115 0.303069617138 Henry Cohn, 2025, needs more optimization.
12 116 0.304516826452 Henry Cohn, 2025, needs more optimization.
12 117 0.306333062342 Henry Cohn, 2025, needs more optimization.
12 118 0.307330611731 Henry Cohn, 2025, needs more optimization.
12 119 0.308098148910 Henry Cohn, 2025, needs more optimization.
12 120 0.308370315982 Henry Cohn, 2025, needs more optimization.
12 121 0.309750464257 Henry Cohn, 2025, needs more optimization.
12 122 0.310132110655 Henry Cohn, 2025, needs more optimization.
12 123 0.311612043004 Henry Cohn, 2025, needs more optimization.
12 124 0.312905171576 Henry Cohn, 2025, needs more optimization.
12 125 0.313371602628 Henry Cohn, 2025, needs more optimization.
12 126 0.313875203438 Henry Cohn, 2025, needs more optimization.
12 127 0.315770621937 Henry Cohn, 2025, needs more optimization.
12 128 0.316101469971 Henry Cohn, 2025, needs more optimization.
12 129 0.317177631309 Henry Cohn, 2025, needs more optimization.
12 130 0.317336587413 Henry Cohn, 2025, needs more optimization.
12 131 0.318014240158 Henry Cohn, 2025, needs more optimization.
12 132 0.319174706326 Henry Cohn, 2025, needs more optimization.
12 133 0.319988566292 Henry Cohn, 2025, needs more optimization.
12 134 0.320120417326 Henry Cohn, 2025, needs more optimization.
12 135 0.321442682067 Henry Cohn, 2025, needs more optimization.
12 136 0.321609179761 Henry Cohn, 2025, needs more optimization.
12 137 0.321611035884 Henry Cohn, 2025, needs more optimization.
12 138 0.322301196343 Henry Cohn, 2025, needs more optimization.
12 139 0.322511795683 Henry Cohn, 2025, needs more optimization.
12 140 0.322714719765 Henry Cohn, 2025, needs more optimization.
12 141 0.323503051005 Henry Cohn, 2025, needs more optimization.
12 142 0.324453738665 Henry Cohn, 2025, needs more optimization.
12 143 0.325662607479 Henry Cohn, 2025, needs more optimization.
12 144 0.326708384107 Henry Cohn, 2025, needs more optimization.
12 145 0.326753819822 Henry Cohn, 2025, needs more optimization.
12 146 0.326813951064 Henry Cohn, 2025, needs more optimization.
12 147 0.326930158313 Henry Cohn, 2025, needs more optimization.
12 148 0.327346909933 Henry Cohn, 2025, needs more optimization.
12 149 0.327574886485 Henry Cohn, 2025, needs more optimization.
12 150 0.328197367059 Henry Cohn, 2025, needs more optimization.
12 152 0.329122893500 Henry Cohn, 2025, needs more optimization.
12 153 0.329125590521 Henry Cohn, 2025, needs more optimization.
12 154 0.330229079541 Henry Cohn, 2025, needs more optimization.
12 155 0.331292598183 Henry Cohn, 2025, needs more optimization.
12 156 0.331313110572 Henry Cohn, 2025, needs more optimization.
12 157 0.331775717054 Henry Cohn, 2025, needs more optimization.
12 158 0.331792758278 Henry Cohn, 2025, needs more optimization.
12 159 0.332928947240 Henry Cohn, 2025, needs more optimization.
12 160 0.332959600996 Henry Cohn, 2025, needs more optimization.
12 162 0.333282608856 Henry Cohn, 2025, needs more optimization.
12 163 0.333284193953 Henry Cohn, 2025, needs more optimization.
12 164 0.333330458310 Henry Cohn, 2024, needs more optimization.
12 165 0.333330471544 Henry Cohn, 2024, needs more optimization.
12 166 0.333330485782 Henry Cohn, 2024, needs more optimization.
12 167 0.333330498087 Henry Cohn, 2024, needs more optimization.
12 168 0.333330515215 Henry Cohn, 2024, needs more optimization.
12 169 0.350292197187 Henry Cohn, 2025, needs more optimization.
12 170 0.350682600484 Henry Cohn, 2024, needs more optimization.
12 171 0.351841729655 Henry Cohn, 2025, needs more optimization.
12 172 0.351953577902 Henry Cohn, 2025, needs more optimization.
12 173 0.353493636874 Henry Cohn, 2025, needs more optimization.
12 174 0.353957262745 Henry Cohn, 2025, needs more optimization.
12 175 0.355015532226 Henry Cohn, 2025, needs more optimization.
12 176 0.355092526593 Henry Cohn, 2025, needs more optimization.
12 177 0.357310208845 Henry Cohn, 2025, needs more optimization.
12 178 0.357331108916 Henry Cohn, 2025, needs more optimization.
12 179 0.358387730696 Henry Cohn, 2025, needs more optimization.
12 180 0.359126909660 Henry Cohn, 2025, needs more optimization.
12 181 0.360068831657 Henry Cohn, 2025, needs more optimization.
12 182 0.360409554495 Henry Cohn, 2025, needs more optimization.
12 183 0.362485582494 Henry Cohn, 2025, needs more optimization.
12 184 0.362849524064 Henry Cohn, 2025, needs more optimization.
12 185 0.364368921035 Henry Cohn, 2025, needs more optimization.
12 186 0.364670452890 Henry Cohn, 2025, needs more optimization.
12 187 0.366217681782 Henry Cohn, 2025, needs more optimization.
12 188 0.367434318458 Henry Cohn, 2025, needs more optimization.
12 189 0.368826242293 Henry Cohn, 2025, needs more optimization.
12 190 0.370107780157 Henry Cohn, 2025, needs more optimization.
12 191 0.370826883529 Henry Cohn, 2025, needs more optimization.
12 192 0.372824817358 Henry Cohn, 2025, needs more optimization.
12 193 0.373200930417 Henry Cohn, 2025, needs more optimization.
12 194 0.374237876109 Henry Cohn, 2025, needs more optimization.
12 195 0.374695828555 Henry Cohn, 2025, 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 0.388909603422 Henry Cohn, 2025, needs more optimization.
12 212 0.391214150221 Henry Cohn, 2025, needs more optimization.
12 213 0.392045444429 Henry Cohn, 2025, needs more optimization.
12 214 0.392953819239 Henry Cohn, 2025, needs more optimization.
12 217 0.393001915046 Henry Cohn, 2025, needs more optimization.
12 218 0.393019853340 Henry Cohn, 2025, needs more optimization.
12 219 0.393030757079 Henry Cohn, 2025, needs more optimization.
12 220 0.393118019843 Henry Cohn, 2025, needs more optimization.
12 221 0.393163459577 Henry Cohn, 2025, needs more optimization.
12 222 0.393400043020 Henry Cohn, 2025, needs more optimization.
12 224 0.394131988099 Henry Cohn, 2025, needs more optimization.
12 225 0.394165697324 Henry Cohn, 2025, needs more optimization.
12 226 0.394911931957 Henry Cohn, 2025, needs more optimization.
12 227 0.394924076574 Henry Cohn, 2025, needs more optimization.
12 228 0.394933615200 Henry Cohn, 2025, needs more optimization.
12 229 0.395025580993 Henry Cohn, 2025, needs more optimization.
12 230 0.395105825125 Henry Cohn, 2025, needs more optimization.
12 231 0.395184375326 Henry Cohn, 2025, needs more optimization.
12 232 0.395426138850 Henry Cohn, 2025, needs more optimization.
12 233 0.395438351667 Henry Cohn, 2025, 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
12 289 0.429630010025 Henry Cohn, 2025, needs more optimization.
12 290 0.429823839954 Henry Cohn, 2025, needs more optimization.
12 291 0.429956502215 Henry Cohn, 2025, needs more optimization.
12 292 0.430620518833 Henry Cohn, 2025, needs more optimization.
12 293 0.431240505940 Henry Cohn, 2025, needs more optimization.
12 294 0.431432803632 Henry Cohn, 2025, needs more optimization.
12 295 0.432000750384 Henry Cohn, 2025, needs more optimization.
12 296 0.432439765510 Henry Cohn, 2025, needs more optimization.
12 297 0.432635575182 Henry Cohn, 2025, needs more optimization.
12 298 0.433051885398 Henry Cohn, 2025, needs more optimization.
12 299 0.433544163956 Henry Cohn, 2025, needs more optimization.
12 300 0.433655958702 Henry Cohn, 2025, needs more optimization.
12 301 0.434535342630 Henry Cohn, 2025, needs more optimization.
12 302 0.434926474027 Henry Cohn, 2025, needs more optimization.
12 303 0.434992118487 Henry Cohn, 2025, needs more optimization.
12 304 0.435790407891 Henry Cohn, 2025, needs more optimization.
12 305 0.436091314812 Henry Cohn, 2025, needs more optimization.
12 306 0.436200612561 Henry Cohn, 2025, needs more optimization.
12 307 0.436754844887 Henry Cohn, 2025, needs more optimization.
12 308 0.436880238634 Henry Cohn, 2025, needs more optimization.
12 309 0.437471102535 Henry Cohn, 2025, needs more optimization.
12 310 0.437980374395 Henry Cohn, 2025, needs more optimization.
12 311 0.438025357358 Henry Cohn, 2025, needs more optimization.
12 312 0.438352051590 Henry Cohn, 2025, needs more optimization.
12 313 0.438801707762 Henry Cohn, 2025, needs more optimization.
12 314 0.439391293125 Henry Cohn, 2025, needs more optimization.
12 315 0.439830965838 Henry Cohn, 2025, needs more optimization.
12 316 0.440284598571 Henry Cohn, 2025, needs more optimization.
12 317 0.440347172791 Henry Cohn, 2025, needs more optimization.
12 318 0.440664248160 Henry Cohn, 2025, needs more optimization.
12 319 0.440947160843 Henry Cohn, 2025, needs more optimization.
12 320 0.441447403655 Henry Cohn, 2025, needs more optimization.
12 321 0.441715277767 Henry Cohn, 2025, needs more optimization.
12 322 0.442415599278 Henry Cohn, 2025, needs more optimization.
12 323 0.442750465096 Henry Cohn, 2025, needs more optimization.
12 324 0.443348620398 Henry Cohn, 2025, needs more optimization.
12 325 0.443421088838 Henry Cohn, 2025, 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 0.460317420652 Henry Cohn, 2025, needs more optimization.
12 410 0.460787274926 Henry Cohn, 2025, needs more optimization.
12 411 0.460890339256 Henry Cohn, 2025, needs more optimization.
12 412 0.460916279521 Henry Cohn, 2025, needs more optimization.
12 413 0.461342872888 Henry Cohn, 2025, needs more optimization.
12 414 0.461344809904 Henry Cohn, 2025, needs more optimization.
12 416 0.461650465246 Henry Cohn, 2025, needs more optimization.
12 417 0.462223153465 Henry Cohn, 2025, needs more optimization.
12 418 0.462255100448 Henry Cohn, 2025, needs more optimization.
12 419 0.462598213897 Henry Cohn, 2025, needs more optimization.
12 420 0.463055770718 Henry Cohn, 2025, needs more optimization.
12 422 0.463280003332 Henry Cohn, 2025, needs more optimization.
12 423 0.463392436162 Henry Cohn, 2025, needs more optimization.
12 424 0.464265187939 Henry Cohn, 2025, needs more optimization.
12 425 0.464291111787 Henry Cohn, 2025, needs more optimization.
12 426 0.464311724026 Henry Cohn, 2025, needs more optimization.
12 427 0.464333823925 Henry Cohn, 2025, needs more optimization.
12 428 0.464630931257 Henry Cohn, 2025, needs more optimization.
12 429 0.464633106668 Henry Cohn, 2025, needs more optimization.
12 430 0.464892455907 Henry Cohn, 2025, needs more optimization.
12 431 0.465132401439 Henry Cohn, 2025, needs more optimization.
12 432 0.465195799150 Henry Cohn, 2025, needs more optimization.
12 433 0.465278387386 Henry Cohn, 2025, needs more optimization.
12 434 0.465332550195 Henry Cohn, 2025, needs more optimization.
12 435 0.465390209709 Henry Cohn, 2025, needs more optimization.
12 436 0.465431254972 Henry Cohn, 2025, needs more optimization.
12 437 0.466609299805 Henry Cohn, 2025, needs more optimization.
12 438 0.466691757522 Henry Cohn, 2025, needs more optimization.
12 439 0.466712521703 Henry Cohn, 2025, needs more optimization.
12 440 0.466748568413 Henry Cohn, 2025, needs more optimization.
12 441 0.467305772666 Henry Cohn, 2025, needs more optimization.
12 442 0.467360243002 Henry Cohn, 2025, needs more optimization.
12 443 0.468001139329 Henry Cohn, 2025, needs more optimization.
12 444 0.468124793873 Henry Cohn, 2025, needs more optimization.
12 445 0.468136232732 Henry Cohn, 2025, needs more optimization.
12 446 0.468143718124 Henry Cohn, 2025, needs more optimization.
12 447 0.468255536845 Henry Cohn, 2025, needs more optimization.
12 448 0.468761629086 Henry Cohn, 2025, needs more optimization.
12 449 0.468997460954 Henry Cohn, 2025, needs more optimization.
12 450 0.469053022621 Henry Cohn, 2025, needs more optimization.
12 452 0.469731464656 Henry Cohn, 2025, needs more optimization.
12 453 0.469782575302 Henry Cohn, 2025, needs more optimization.
12 454 0.470059344042 Henry Cohn, 2025, needs more optimization.
12 455 0.470156999977 Henry Cohn, 2025, needs more optimization.
12 456 0.470426130738 Henry Cohn, 2025, needs more optimization.
12 457 0.470784210180 Henry Cohn, 2025, needs more optimization.
12 458 0.471173867096 Henry Cohn, 2025, needs more optimization.
12 459 0.471208941422 Henry Cohn, 2025, needs more optimization.
12 460 0.471276953125 Henry Cohn, 2025, needs more optimization.
12 461 0.471288301089 Henry Cohn, 2025, needs more optimization.
12 462 0.471681640270 Henry Cohn, 2025, needs more optimization.
12 463 0.471694744636 Henry Cohn, 2025, needs more optimization.
12 464 0.471742699963 Henry Cohn, 2025, needs more optimization.
12 465 0.472115369833 Henry Cohn, 2025, needs more optimization.
12 467 0.472356094759 Henry Cohn, 2025, needs more optimization.
12 470 0.472775609464 Henry Cohn, 2025, needs more optimization.
12 471 0.472812238397 Henry Cohn, 2025, needs more optimization.
12 472 0.473189840349 Henry Cohn, 2025, needs more optimization.
12 473 0.473803855037 Henry Cohn, 2025, needs more optimization.
12 474 0.473877676579 Henry Cohn, 2025, needs more optimization.
12 475 0.473911614139 Henry Cohn, 2025, needs more optimization.
12 476 0.474346809675 Henry Cohn, 2025, needs more optimization.
12 477 0.474360536795 Henry Cohn, 2025, needs more optimization.
12 478 0.474490315931 Henry Cohn, 2025, needs more optimization.
12 480 0.474839991421 Henry Cohn, 2025, needs more optimization.
12 481 0.474879578957 Henry Cohn, 2025, needs more optimization.
12 482 0.474928668984 Henry Cohn, 2025, needs more optimization.
12 484 0.475384553366 Henry Cohn, 2025, needs more optimization.
12 485 0.475402119032 Henry Cohn, 2025, needs more optimization.
12 486 0.475751688822 Henry Cohn, 2025, needs more optimization.
12 487 0.475962860199 Henry Cohn, 2025, needs more optimization.
12 488 0.475978252243 Henry Cohn, 2025, needs more optimization.
12 489 0.476034756004 Henry Cohn, 2025, needs more optimization.
12 490 0.476066967305 Henry Cohn, 2025, needs more optimization.
12 491 0.476313648345 Henry Cohn, 2025, needs more optimization.
12 492 0.476371549447 Henry Cohn, 2025, needs more optimization.
12 493 0.476671821079 Henry Cohn, 2025, needs more optimization.
12 494 0.476699405344 Henry Cohn, 2025, needs more optimization.
12 495 0.476971046930 Henry Cohn, 2025, needs more optimization.
12 496 0.477028066922 Henry Cohn, 2025, needs more optimization.
12 498 0.477452113795 Henry Cohn, 2025, needs more optimization.
12 499 0.477742523402 Henry Cohn, 2025, needs more optimization.
12 500 0.477827883109 Henry Cohn, 2025, needs more optimization.
12 501 0.477904125544 Henry Cohn, 2025, needs more optimization.
12 502 0.478230849138 Henry Cohn, 2025, needs more optimization.
12 503 0.478244559820 Henry Cohn, 2025, needs more optimization.
12 504 0.478397358532 Henry Cohn, 2025, needs more optimization.
12 505 0.479032869918 Henry Cohn, 2025, needs more optimization.
12 506 0.479034888824 Henry Cohn, 2025, needs more optimization.
12 507 0.479068778130 Henry Cohn, 2025, needs more optimization.
12 508 0.479086144303 Henry Cohn, 2025, needs more optimization.
12 510 0.479645243250 Henry Cohn, 2025, needs more optimization.
12 511 0.480589765936 Henry Cohn, 2025, needs more optimization.
12 512 0.480609342805 Henry Cohn, 2025, needs more optimization.
12 514 0.481126042339 Henry Cohn, 2025, needs more optimization.
12 515 0.481511317859 Henry Cohn, 2025, needs more optimization.
12 516 0.481527281067 Henry Cohn, 2025, needs more optimization.
12 517 0.481538968635 Henry Cohn, 2025, needs more optimization.
12 518 0.481559092706 Henry Cohn, 2025, needs more optimization.
12 519 0.481578191340 Henry Cohn, 2025, needs more optimization.
12 521 0.482494149995 Henry Cohn, 2025, needs more optimization.
12 522 0.483196968224 Henry Cohn, 2025, needs more optimization.
12 524 0.483248906553 Henry Cohn, 2025, needs more optimization.
12 525 0.483290123159 Henry Cohn, 2025, needs more optimization.
12 527 0.483334550090 Henry Cohn, 2025, needs more optimization.
12 528 0.483341593774 Henry Cohn, 2025, needs more optimization.
12 529 0.483358658357 Henry Cohn, 2025, needs more optimization.
12 530 0.484548061479 Henry Cohn, 2025, needs more optimization.
12 531 0.484747486845 Henry Cohn, 2025, needs more optimization.
12 536 0.484775030495 Henry Cohn, 2025, needs more optimization.
12 537 0.484864297067 Henry Cohn, 2025, needs more optimization.
12 538 0.484946173655 Henry Cohn, 2025, needs more optimization.
12 539 0.484987364192 Henry Cohn, 2025, needs more optimization.
12 540 0.486138399624 Henry Cohn, 2025, needs more optimization.
12 542 0.486194882972 Henry Cohn, 2025, needs more optimization.
12 543 0.486684952370 Henry Cohn, 2025, needs more optimization.
12 544 0.486734497631 Henry Cohn, 2025, needs more optimization.
12 545 0.487170639343 Henry Cohn, 2025, needs more optimization.
12 547 0.487240143978 Henry Cohn, 2025, needs more optimization.
12 549 0.487328528589 Henry Cohn, 2025, needs more optimization.
12 550 0.487353252908 Henry Cohn, 2025, needs more optimization.
12 552 0.487420901641 Henry Cohn, 2025, needs more optimization.
12 553 0.487478028553 Henry Cohn, 2025, needs more optimization.
12 554 0.487495550184 Henry Cohn, 2025, needs more optimization.
12 557 0.488377362699 Henry Cohn, 2025, needs more optimization.
12 558 0.488420631760 Henry Cohn, 2025, needs more optimization.
12 560 0.488460377931 Henry Cohn, 2025, needs more optimization.
12 562 0.488683619146 Henry Cohn, 2025, needs more optimization.
12 563 0.488707871352 Henry Cohn, 2025, needs more optimization.
12 564 0.488722543233 Henry Cohn, 2025, needs more optimization.
12 565 0.488730989753 Henry Cohn, 2025, needs more optimization.
12 567 0.488814595309 Henry Cohn, 2025, needs more optimization.
12 568 0.488864489211 Henry Cohn, 2025, needs more optimization.
12 569 0.488888218344 Henry Cohn, 2025, needs more optimization.
12 570 0.488918848346 Henry Cohn, 2025, needs more optimization.
12 573 0.488979143622 Henry Cohn, 2025, needs more optimization.
12 575 0.490401006874 Henry Cohn, 2025, needs more optimization.
12 577 0.490407030078 Henry Cohn, 2025, needs more optimization.
12 578 0.490461029912 Henry Cohn, 2025, needs more optimization.
12 583 0.490634863088 Henry Cohn, 2025, needs more optimization.
12 584 0.490656392874 Henry Cohn, 2025, needs more optimization.
12 585 0.490707222374 Henry Cohn, 2025, needs more optimization.
12 586 0.490745942813 Henry Cohn, 2025, needs more optimization.
12 587 0.490912226789 Henry Cohn, 2025, needs more optimization.
12 588 0.491914493560 Henry Cohn, 2025, needs more optimization.
12 589 0.492174083656 Henry Cohn, 2025, needs more optimization.
12 590 0.492216724900 Henry Cohn, 2025, needs more optimization.
12 592 0.492265031271 Henry Cohn, 2025, needs more optimization.
12 594 0.492534513578 Henry Cohn, 2025, needs more optimization.
12 595 0.493065619604 Henry Cohn, 2025, needs more optimization.
12 598 0.493495993291 Henry Cohn, 2025, needs more optimization.
12 599 0.494150506718 Henry Cohn, 2025, needs more optimization.
12 602 0.494178038616 Henry Cohn, 2025, needs more optimization.
12 605 0.494194496973 Henry Cohn, 2025, needs more optimization.
12 607 0.494209588032 Henry Cohn, 2025, needs more optimization.
12 609 0.494331067885 Henry Cohn, 2025, needs more optimization.
12 610 0.494371099920 Henry Cohn, 2025, needs more optimization.
12 613 0.494401064565 Henry Cohn, 2025, needs more optimization.
12 614 0.494703831336 Henry Cohn, 2025, needs more optimization.
12 620 0.495685080960 Henry Cohn, 2025, needs more optimization.
12 621 0.495693224097 Henry Cohn, 2025, needs more optimization.
12 622 0.495721120417 Henry Cohn, 2025, needs more optimization.
12 623 0.495780744260 Henry Cohn, 2025, needs more optimization.
12 625 0.495817514774 Henry Cohn, 2025, needs more optimization.
12 626 0.495864532163 Henry Cohn, 2025, needs more optimization.
12 628 0.495940384264 Henry Cohn, 2025, needs more optimization.
12 630 0.495962968700 Henry Cohn, 2025, needs more optimization.
12 631 0.495981621284 Henry Cohn, 2025, needs more optimization.
12 632 0.496073772003 Henry Cohn, 2025, needs more optimization.
12 633 0.496074015169 Henry Cohn, 2025, needs more optimization.
12 635 0.496090015891 Henry Cohn, 2025, needs more optimization.
12 638 0.496102038107 Henry Cohn, 2025, needs more optimization.
12 641 0.496137932233 Henry Cohn, 2025, needs more optimization.
12 642 0.496153506949 Henry Cohn, 2025, needs more optimization.
12 645 0.496173740181 Henry Cohn, 2025, needs more optimization.
12 650 0.496226998768 Henry Cohn, 2025, needs more optimization.
12 653 0.496242601526 Henry Cohn, 2025, needs more optimization.
12 654 0.496267177700 Henry Cohn, 2025, needs more optimization.
12 655 0.496277055600 Henry Cohn, 2025, needs more optimization.
12 656 0.496289321800 Henry Cohn, 2025, needs more optimization.
12 658 0.496315024614 Henry Cohn, 2025, needs more optimization.
12 663 0.496329656305 Henry Cohn, 2025, needs more optimization.
12 664 0.496348090834 Henry Cohn, 2025, needs more optimization.
12 665 0.496353943696 Henry Cohn, 2025, needs more optimization.
12 666 0.496366035780 Henry Cohn, 2025, needs more optimization.
12 669 0.496398243691 Henry Cohn, 2025, needs more optimization.
12 670 0.496667606787 Henry Cohn, 2025, needs more optimization.
12 672 0.496748001543 Henry Cohn, 2025, needs more optimization.
12 673 0.496790183059 Henry Cohn, 2025, needs more optimization.
12 676 0.496824487686 Henry Cohn, 2025, needs more optimization.
12 680 0.496845382326 Henry Cohn, 2025, needs more optimization.
12 688 0.496879311463 Henry Cohn, 2025, needs more optimization.
12 689 0.496892270583 Henry Cohn, 2025, needs more optimization.
12 691 0.496908509167 Henry Cohn, 2025, needs more optimization.
12 692 0.496935321499 Henry Cohn, 2025, needs more optimization.
12 693 0.496976521265 Henry Cohn, 2025, needs more optimization.
12 694 0.497026946028 Henry Cohn, 2025, needs more optimization.
12 698 0.497043167146 Henry Cohn, 2025, needs more optimization.
12 699 0.497091623311 Henry Cohn, 2025, needs more optimization.
12 702 0.497113512461 Henry Cohn, 2025, needs more optimization.
12 703 0.497133612603 Henry Cohn, 2025, needs more optimization.
12 712 0.497172585318 Henry Cohn, 2025, needs more optimization.
12 714 0.497186140237 Henry Cohn, 2025, needs more optimization.
12 715 0.497202742468 Henry Cohn, 2025, needs more optimization.
12 718 0.497228959963 Henry Cohn, 2025, needs more optimization.
12 719 0.497268362245 Henry Cohn, 2025, needs more optimization.
12 720 0.497437876696 Henry Cohn, 2025, needs more optimization.
12 724 0.497439455225 Henry Cohn, 2025, needs more optimization.
12 740 0.497469635274 Henry Cohn, 2025, needs more optimization.
12 742 0.497544695158 Henry Cohn, 2025, needs more optimization.
12 744 0.497678553496 Henry Cohn, 2025, needs more optimization.
12 747 0.497729517409 Henry Cohn, 2025, needs more optimization.
12 750 0.497834446762 Henry Cohn, 2025, needs more optimization.
12 752 0.497899494394 Henry Cohn, 2025, needs more optimization.
12 754 0.497977136541 Henry Cohn, 2025, needs more optimization.
12 755 0.498281596307 Henry Cohn, 2025, needs more optimization.
12 756 0.499999999946 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, 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 0.535506290486 Henry Cohn, 2025, needs more optimization.
12 842 0.535506830152 Henry Cohn, 2025, needs more optimization.
12 843 0.535563528698 Henry Cohn, 2025, needs more optimization.
12 844 0.535855189930 Henry Cohn, 2025, needs more optimization.
12 845 0.535859256181 Henry Cohn, 2025, needs more optimization.
12 846 0.535865587028 Henry Cohn, 2025, needs more optimization.
12 847 0.536137465950 Henry Cohn, 2025, needs more optimization.
12 848 0.536195305776 Henry Cohn, 2025, needs more optimization.
12 849 0.536381339913 Henry Cohn, 2025, needs more optimization.
12 850 0.536428797392 Henry Cohn, 2025, needs more optimization.
12 851 0.536830870164 Henry Cohn, 2025, needs more optimization.
12 852 0.537236772116 Henry Cohn, 2025, needs more optimization.
12 853 0.537417805523 Henry Cohn, 2025, needs more optimization.
12 854 0.537428210480 Henry Cohn, 2025, needs more optimization.
12 855 0.537685598125 Henry Cohn, 2025, needs more optimization.
12 857 0.537769398303 Henry Cohn, 2025, needs more optimization.
12 858 0.538138295013 Henry Cohn, 2025, needs more optimization.
12 859 0.538181862229 Henry Cohn, 2025, needs more optimization.
12 860 0.538290520078 Henry Cohn, 2025, needs more optimization.
12 861 0.538539463883 Henry Cohn, 2025, needs more optimization.
12 862 0.538792024065 Henry Cohn, 2025, needs more optimization.
12 863 0.538796771157 Henry Cohn, 2025, needs more optimization.
12 864 0.538978213819 Henry Cohn, 2025, needs more optimization.
12 866 0.539105562868 Henry Cohn, 2025, needs more optimization.
12 867 0.539420977833 Henry Cohn, 2025, needs more optimization.
12 868 0.539438290827 Henry Cohn, 2025, needs more optimization.
12 869 0.539492801933 Henry Cohn, 2025, needs more optimization.
12 870 0.539717498639 Henry Cohn, 2025, needs more optimization.
12 871 0.539940914659 Henry Cohn, 2025, needs more optimization.
12 872 0.539941280606 Henry Cohn, 2025, needs more optimization.
12 873 0.539947567768 Henry Cohn, 2025, needs more optimization.
12 874 0.539955507094 Henry Cohn, 2025, needs more optimization.
12 875 0.540538080203 Henry Cohn, 2025, needs more optimization.
12 876 0.540540827851 Henry Cohn, 2025, needs more optimization.
12 877 0.540573352154 Henry Cohn, 2025, needs more optimization.
12 878 0.540636337698 Henry Cohn, 2025, needs more optimization.
12 880 0.541220536206 Henry Cohn, 2025, needs more optimization.
12 881 0.541333676122 Henry Cohn, 2025, needs more optimization.
12 882 0.541344755738 Henry Cohn, 2025, needs more optimization.
12 883 0.541721423484 Henry Cohn, 2025, needs more optimization.
12 884 0.541999666200 Henry Cohn, 2025, needs more optimization.
12 885 0.542045952338 Henry Cohn, 2025, needs more optimization.
12 886 0.542067645904 Henry Cohn, 2025, needs more optimization.
12 887 0.542107382042 Henry Cohn, 2025, needs more optimization.
12 888 0.542498927787 Henry Cohn, 2025, needs more optimization.
12 890 0.542504515333 Henry Cohn, 2025, needs more optimization.
12 891 0.542718119069 Henry Cohn, 2025, needs more optimization.
12 892 0.542789238103 Henry Cohn, 2025, needs more optimization.
12 893 0.543207711787 Henry Cohn, 2025, needs more optimization.
12 894 0.543456141381 Henry Cohn, 2025, needs more optimization.
12 895 0.543497451217 Henry Cohn, 2025, needs more optimization.
12 896 0.543557290701 Henry Cohn, 2025, needs more optimization.
12 897 0.543893308049 Henry Cohn, 2025, needs more optimization.
12 898 0.543900823672 Henry Cohn, 2025, needs more optimization.
12 899 0.543919874490 Henry Cohn, 2025, needs more optimization.
12 900 0.543926485558 Henry Cohn, 2025, needs more optimization.
12 901 0.544322418996 Henry Cohn, 2025, needs more optimization.
12 902 0.544381181124 Henry Cohn, 2025, needs more optimization.
12 903 0.544406792234 Henry Cohn, 2025, needs more optimization.
12 904 0.544637591188 Henry Cohn, 2025, needs more optimization.
12 905 0.544667069990 Henry Cohn, 2025, needs more optimization.
12 906 0.544835386880 Henry Cohn, 2025, needs more optimization.
12 907 0.544907080609 Henry Cohn, 2025, needs more optimization.
12 908 0.545188984848 Henry Cohn, 2025, needs more optimization.
12 909 0.545209362200 Henry Cohn, 2025, needs more optimization.
12 910 0.545443246726 Henry Cohn, 2025, needs more optimization.
12 911 0.545448662084 Henry Cohn, 2025, needs more optimization.
12 912 0.545454175102 Henry Cohn, 2025, needs more optimization.
12 913 0.545474162688 Henry Cohn, 2025, needs more optimization.
12 914 0.545743622651 Henry Cohn, 2025, needs more optimization.
12 915 0.545773407652 Henry Cohn, 2025, needs more optimization.
12 916 0.546074961706 Henry Cohn, 2025, needs more optimization.
12 917 0.546077480849 Henry Cohn, 2025, needs more optimization.
12 918 0.546206448972 Henry Cohn, 2025, needs more optimization.
12 919 0.546624962329 Henry Cohn, 2025, needs more optimization.
12 920 0.546639558512 Henry Cohn, 2025, needs more optimization.
12 921 0.546651585660 Henry Cohn, 2025, needs more optimization.
12 922 0.546657028956 Henry Cohn, 2025, needs more optimization.
12 923 0.546909928881 Henry Cohn, 2025, needs more optimization.
12 924 0.546997798288 Henry Cohn, 2025, needs more optimization.
12 925 0.547040891382 Henry Cohn, 2025, needs more optimization.
12 926 0.547192185250 Henry Cohn, 2025, needs more optimization.
12 927 0.547369236012 Henry Cohn, 2025, needs more optimization.
12 928 0.547397362435 Henry Cohn, 2025, needs more optimization.
12 929 0.547610209902 Henry Cohn, 2025, needs more optimization.
12 930 0.547622605750 Henry Cohn, 2025, needs more optimization.
12 931 0.547626811970 Henry Cohn, 2025, needs more optimization.
12 932 0.547993404829 Henry Cohn, 2025, needs more optimization.
12 933 0.548166345572 Henry Cohn, 2025, needs more optimization.
12 934 0.548180041006 Henry Cohn, 2025, needs more optimization.
12 935 0.548275056468 Henry Cohn, 2025, needs more optimization.
12 936 0.548451459756 Henry Cohn, 2025, needs more optimization.
12 937 0.548764637739 Henry Cohn, 2025, needs more optimization.
12 938 0.548961812841 Henry Cohn, 2025, needs more optimization.
12 940 0.548989710002 Henry Cohn, 2025, needs more optimization.
12 941 0.549057088172 Henry Cohn, 2025, needs more optimization.
12 942 0.549057147014 Henry Cohn, 2025, needs more optimization.
12 943 0.549450802383 Henry Cohn, 2025, needs more optimization.
12 944 0.549478794098 Henry Cohn, 2025, needs more optimization.
12 945 0.549570476958 Henry Cohn, 2025, needs more optimization.
12 946 0.549705467723 Henry Cohn, 2025, needs more optimization.
12 947 0.549729950762 Henry Cohn, 2025, needs more optimization.
12 948 0.549771113126 Henry Cohn, 2025, needs more optimization.
12 949 0.550020640206 Henry Cohn, 2025, needs more optimization.
12 950 0.550032390490 Henry Cohn, 2025, needs more optimization.
12 951 0.550085460365 Henry Cohn, 2025, needs more optimization.
12 952 0.550589311881 Henry Cohn, 2025, needs more optimization.
12 953 0.550646986647 Henry Cohn, 2025, needs more optimization.
12 954 0.550660472225 Henry Cohn, 2025, needs more optimization.
12 955 0.550675209105 Henry Cohn, 2025, needs more optimization.
12 956 0.550681978092 Henry Cohn, 2025, needs more optimization.
12 957 0.551058568831 Henry Cohn, 2025, needs more optimization.
12 958 0.551087058267 Henry Cohn, 2025, needs more optimization.
12 959 0.551092152756 Henry Cohn, 2025, needs more optimization.
12 960 0.551255954876 Henry Cohn, 2025, needs more optimization.
12 961 0.551280867106 Henry Cohn, 2025, needs more optimization.
12 962 0.551289731610 Henry Cohn, 2025, needs more optimization.
12 963 0.551568055693 Henry Cohn, 2025, needs more optimization.
12 964 0.551615657578 Henry Cohn, 2025, needs more optimization.
12 965 0.551627297606 Henry Cohn, 2025, needs more optimization.
12 966 0.551884930095 Henry Cohn, 2025, needs more optimization.
12 967 0.551889366792 Henry Cohn, 2025, needs more optimization.
12 968 0.551968271502 Henry Cohn, 2025, needs more optimization.
12 969 0.552326081648 Henry Cohn, 2025, needs more optimization.
12 970 0.552372096589 Henry Cohn, 2025, needs more optimization.
12 971 0.552378734126 Henry Cohn, 2025, needs more optimization.
12 972 0.552388652222 Henry Cohn, 2025, needs more optimization.
12 973 0.552556944406 Henry Cohn, 2025, needs more optimization.
12 974 0.552605780398 Henry Cohn, 2025, needs more optimization.
12 975 0.552630771016 Henry Cohn, 2025, needs more optimization.
12 976 0.552932723069 Henry Cohn, 2025, needs more optimization.
12 977 0.552941763697 Henry Cohn, 2025, needs more optimization.
12 978 0.553177368105 Henry Cohn, 2025, needs more optimization.
12 979 0.553191190016 Henry Cohn, 2025, needs more optimization.
12 980 0.553241405144 Henry Cohn, 2025, needs more optimization.
12 981 0.553540138207 Henry Cohn, 2025, needs more optimization.
12 982 0.553635884424 Henry Cohn, 2025, needs more optimization.
12 983 0.553797096864 Henry Cohn, 2025, needs more optimization.
12 985 0.553803963339 Henry Cohn, 2025, needs more optimization.
12 986 0.554037375758 Henry Cohn, 2025, needs more optimization.
12 1024 0.555555555556 Subcode of a code of size 1144 from T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
9⁢x−5
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, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
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 0.089954419243 Henry Cohn, 2025.
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 0.121482476771 Henry Cohn, 2025.
13 42 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
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 0.141255994068 Henry Cohn, 2023.
486⁢x4+174⁢x3+30⁢x2−2⁢x−1
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 0.148576024646 Henry Cohn, 2024.
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 0.180544628313 Henry Cohn, 2024.
13 60 0.184767952433 Henry Cohn, 2025.
13 61 0.189841485448 Henry Cohn, 2025.
13 62 0.194878828880 Henry Cohn, 2025.
13 63 0.197293846707 Henry Cohn, 2025.
13 64 0.199614249272 Henry Cohn, 2025.
13 65 0.201075522702 Henry Cohn, 2025.
13 66 0.201510624363 Henry Cohn, 2025.
13 67 0.204213133601 Henry Cohn, 2025.
13 68 0.207271264670 Henry Cohn, 2025.
13 69 0.208427075365 Henry Cohn, 2025.
13 70 0.210856849944 Henry Cohn, 2024, needs more optimization.
13 71 0.212574330623 Henry Cohn, 2025.
13 72 0.214183844238 Henry Cohn, 2025.
13 73 0.216197132251 Henry Cohn, 2024, needs more optimization.
13 74 0.218079724343 Henry Cohn, 2024, needs more optimization.
13 75 0.219897371214 Henry Cohn, 2025, needs more optimization.
13 76 0.222163463432 Henry Cohn, 2024, needs more optimization.
13 77 0.224156052963 Henry Cohn, 2024, needs more optimization.
13 78 0.226275611701 Henry Cohn, 2025, needs more optimization.
13 79 0.228147399376 Henry Cohn, 2024, needs more optimization.
13 80 0.230724709658 Henry Cohn, 2025.
13 81 0.232720216127 Henry Cohn, 2024, needs more optimization.
13 82 0.234546628701 Henry Cohn, 2025, needs more optimization.
13 83 0.236607352860 Henry Cohn, 2025.
13 84 0.238195175530 Henry Cohn, 2025, needs more optimization.
13 85 0.240418979845 Henry Cohn, 2025, needs more optimization.
13 86 0.242169853327 Henry Cohn, 2024, needs more optimization.
13 87 0.243805085803 Henry Cohn, 2024, needs more optimization.
13 88 0.245492705445 Henry Cohn, 2025, needs more optimization.
13 89 0.247238920695 Henry Cohn, 2025, needs more optimization.
13 90 0.248723421070 Henry Cohn, 2025, 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
13 105 0.260507709381 Henry Cohn, 2025, needs more optimization.
13 106 0.260511078242 Henry Cohn, 2025, needs more optimization.
13 107 0.269741962081 Henry Cohn, 2025, needs more optimization.
13 108 0.270307773955 Henry Cohn, 2025, needs more optimization.
13 109 0.271022116285 Henry Cohn, 2025, needs more optimization.
13 110 0.271463419083 Henry Cohn, 2025, needs more optimization.
13 111 0.271759035356 Henry Cohn, 2025, needs more optimization.
13 112 0.272275779933 Henry Cohn, 2025, needs more optimization.
13 113 0.277797645039 Henry Cohn, 2025, needs more optimization.
13 114 0.279162859425 Henry Cohn, 2025, needs more optimization.
13 115 0.280226576609 Henry Cohn, 2025, needs more optimization.
13 116 0.281707655828 Henry Cohn, 2025, needs more optimization.
13 117 0.282251408768 Henry Cohn, 2025, needs more optimization.
13 118 0.283864069716 Henry Cohn, 2025, needs more optimization.
13 119 0.285354085125 Henry Cohn, 2025, needs more optimization.
13 120 0.286156826234 Henry Cohn, 2025, needs more optimization.
13 121 0.287752132699 Henry Cohn, 2025, needs more optimization.
13 122 0.288742087675 Henry Cohn, 2025, needs more optimization.
13 123 0.289998320768 Henry Cohn, 2025, needs more optimization.
13 124 0.291835967905 Henry Cohn, 2025, needs more optimization.
13 125 0.293128043073 Henry Cohn, 2025, needs more optimization.
13 126 0.294156058956 Henry Cohn, 2025, needs more optimization.
13 127 0.295359778649 Henry Cohn, 2025, needs more optimization.
13 128 0.296560307972 Henry Cohn, 2025, needs more optimization.
13 129 0.298116450160 Henry Cohn, 2025, needs more optimization.
13 130 0.299101951963 Henry Cohn, 2025, needs more optimization.
13 131 0.300752686719 Henry Cohn, 2025, needs more optimization.
13 132 0.301605781956 Henry Cohn, 2025, needs more optimization.
13 133 0.302037915520 Henry Cohn, 2025, needs more optimization.
13 134 0.303899878067 Henry Cohn, 2025, needs more optimization.
13 135 0.304140027491 Henry Cohn, 2025, needs more optimization.
13 136 0.305829068308 Henry Cohn, 2025, needs more optimization.
13 137 0.306945966697 Henry Cohn, 2025, needs more optimization.
13 138 0.307897541271 Henry Cohn, 2025, needs more optimization.
13 139 0.308697253555 Henry Cohn, 2025, needs more optimization.
13 140 0.309112687439 Henry Cohn, 2024, needs more optimization.
13 141 0.310247062576 Henry Cohn, 2025, needs more optimization.
13 142 0.311312820414 Henry Cohn, 2025, needs more optimization.
13 143 0.312014333887 Henry Cohn, 2025, needs more optimization.
13 144 0.312599197103 Henry Cohn, 2025, needs more optimization.
13 145 0.313310854362 Henry Cohn, 2025, needs more optimization.
13 146 0.314706570513 Henry Cohn, 2025, needs more optimization.
13 147 0.314906997633 Henry Cohn, 2025, needs more optimization.
13 148 0.314997938789 Henry Cohn, 2025, needs more optimization.
13 149 0.315018275369 Henry Cohn, 2025, needs more optimization.
13 150 0.315634541628 Henry Cohn, 2025, needs more optimization.
13 151 0.316189557395 Henry Cohn, 2025, needs more optimization.
13 152 0.316952381710 Henry Cohn, 2025, needs more optimization.
13 153 0.317385621486 Henry Cohn, 2025, needs more optimization.
13 154 0.318472025743 Henry Cohn, 2025, needs more optimization.
13 155 0.319244911741 Henry Cohn, 2025, needs more optimization.
13 156 0.319730631558 Henry Cohn, 2025, needs more optimization.
13 157 0.320148908785 Henry Cohn, 2025, needs more optimization.
13 158 0.320467106422 Henry Cohn, 2025, needs more optimization.
13 159 0.321178696610 Henry Cohn, 2025, needs more optimization.
13 160 0.321385581960 Henry Cohn, 2025, needs more optimization.
13 161 0.321429342635 Henry Cohn, 2025, needs more optimization.
13 162 0.321840969120 Henry Cohn, 2025, needs more optimization.
13 163 0.322620795828 Henry Cohn, 2025, needs more optimization.
13 164 0.323053176979 Henry Cohn, 2025, needs more optimization.
13 165 0.323496938022 Henry Cohn, 2025, needs more optimization.
13 166 0.323740976031 Henry Cohn, 2025, needs more optimization.
13 167 0.324017638303 Henry Cohn, 2025, needs more optimization.
13 168 0.324615305645 Henry Cohn, 2025, needs more optimization.
13 169 0.324907895442 Henry Cohn, 2025, needs more optimization.
13 170 0.325878596764 Henry Cohn, 2025, needs more optimization.
13 171 0.325999811589 Henry Cohn, 2025, needs more optimization.
13 172 0.326336809845 Henry Cohn, 2025, needs more optimization.
13 173 0.327045333339 Henry Cohn, 2025, needs more optimization.
13 174 0.327606638738 Henry Cohn, 2025, needs more optimization.
13 175 0.327785335031 Henry Cohn, 2025, needs more optimization.
13 176 0.328242393838 Henry Cohn, 2025, needs more optimization.
13 177 0.328499077863 Henry Cohn, 2025, needs more optimization.
13 178 0.328708977181 Henry Cohn, 2025, needs more optimization.
13 179 0.329553585093 Henry Cohn, 2025, needs more optimization.
13 180 0.330109053049 Henry Cohn, 2025, needs more optimization.
13 181 0.330352765707 Henry Cohn, 2025, needs more optimization.
13 182 0.330384882108 Henry Cohn, 2025, needs more optimization.
13 183 0.331673065903 Henry Cohn, 2025, needs more optimization.
13 184 0.331974873562 Henry Cohn, 2025, 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 0.350470979699 Henry Cohn, 2025, needs more optimization.
13 210 0.352050928514 Henry Cohn, 2025, needs more optimization.
13 211 0.352392583978 Henry Cohn, 2025, needs more optimization.
13 212 0.353587532151 Henry Cohn, 2025, needs more optimization.
13 213 0.354211822367 Henry Cohn, 2025, needs more optimization.
13 214 0.354572116004 Henry Cohn, 2025, needs more optimization.
13 215 0.355870885297 Henry Cohn, 2025, needs more optimization.
13 216 0.357114457063 Henry Cohn, 2025, needs more optimization.
13 217 0.357508369406 Henry Cohn, 2025, needs more optimization.
13 218 0.358111285549 Henry Cohn, 2025, needs more optimization.
13 219 0.359221070440 Henry Cohn, 2025, needs more optimization.
13 220 0.360010096648 Henry Cohn, 2025, needs more optimization.
13 221 0.360347431669 Henry Cohn, 2025, needs more optimization.
13 222 0.361465572817 Henry Cohn, 2025, needs more optimization.
13 223 0.362139521290 Henry Cohn, 2025, needs more optimization.
13 224 0.363208388075 Henry Cohn, 2025, needs more optimization.
13 225 0.363576072941 Henry Cohn, 2025, needs more optimization.
13 226 0.364111545428 Henry Cohn, 2025, needs more optimization.
13 227 0.365454011250 Henry Cohn, 2025, needs more optimization.
13 228 0.366410284520 Henry Cohn, 2025, needs more optimization.
13 229 0.366421796715 Henry Cohn, 2025, needs more optimization.
13 230 0.367441994670 Henry Cohn, 2025, needs more optimization.
13 231 0.368659957026 Henry Cohn, 2025, needs more optimization.
13 232 0.369188244432 Henry Cohn, 2025, needs more optimization.
13 233 0.369849980467 Henry Cohn, 2025, needs more optimization.
13 234 0.371432158844 Henry Cohn, 2025, needs more optimization.
13 235 0.371647436838 Henry Cohn, 2025, needs more optimization.
13 236 0.371857994987 Henry Cohn, 2025, needs more optimization.
13 237 0.372488755582 Henry Cohn, 2025, needs more optimization.
13 238 0.373218027894 Henry Cohn, 2025, needs more optimization.
13 239 0.374032230428 Henry Cohn, 2025, needs more optimization.
13 240 0.374588255931 Henry Cohn, 2025, needs more optimization.
13 241 0.375544125807 Henry Cohn, 2025, needs more optimization.
13 242 0.375857470696 Henry Cohn, 2025, needs more optimization.
13 243 0.376465628184 Henry Cohn, 2025, needs more optimization.
13 244 0.377112132587 Henry Cohn, 2025, needs more optimization.
13 245 0.377818734681 Henry Cohn, 2025, needs more optimization.
13 246 0.378676225810 Henry Cohn, 2025, needs more optimization.
13 247 0.378933033003 Henry Cohn, 2025, needs more optimization.
13 248 0.379742037786 Henry Cohn, 2025, needs more optimization.
13 249 0.380184516978 Henry Cohn, 2025, needs more optimization.
13 250 0.380922655091 Henry Cohn, 2025, needs more optimization.
13 251 0.381860791281 Henry Cohn, 2025, needs more optimization.
13 252 0.381963272515 Henry Cohn, 2024, needs more optimization.
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
13 336 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 0.417891478892 Henry Cohn, 2025, needs more optimization.
13 338 0.418441080028 Henry Cohn, 2025, needs more optimization.
13 339 0.418744932283 Henry Cohn, 2025, needs more optimization.
13 340 0.418875769127 Henry Cohn, 2025, needs more optimization.
13 341 0.419419034847 Henry Cohn, 2025, needs more optimization.
13 342 0.420049026491 Henry Cohn, 2025, needs more optimization.
13 343 0.420099252567 Henry Cohn, 2025, needs more optimization.
13 344 0.420403177794 Henry Cohn, 2025, needs more optimization.
13 345 0.420581365637 Henry Cohn, 2025, needs more optimization.
13 346 0.420704154424 Henry Cohn, 2025, needs more optimization.
13 347 0.421102107698 Henry Cohn, 2025, needs more optimization.
13 348 0.421545309541 Henry Cohn, 2025, needs more optimization.
13 349 0.421907425104 Henry Cohn, 2025, needs more optimization.
13 350 0.422008380280 Henry Cohn, 2025, needs more optimization.
13 351 0.422575939533 Henry Cohn, 2025, needs more optimization.
13 352 0.423191162192 Henry Cohn, 2025, needs more optimization.
13 353 0.423230257051 Henry Cohn, 2025, needs more optimization.
13 354 0.423789192932 Henry Cohn, 2025, needs more optimization.
13 355 0.424058260598 Henry Cohn, 2025, needs more optimization.
13 356 0.424147835466 Henry Cohn, 2025, needs more optimization.
13 357 0.424434689990 Henry Cohn, 2025, needs more optimization.
13 358 0.424991924513 Henry Cohn, 2025, needs more optimization.
13 359 0.425361521512 Henry Cohn, 2025, needs more optimization.
13 360 0.425476304151 Henry Cohn, 2025, needs more optimization.
13 361 0.426053892700 Henry Cohn, 2025, needs more optimization.
13 363 0.426403543342 Henry Cohn, 2025, needs more optimization.
13 364 0.426678284544 Henry Cohn, 2025, needs more optimization.
13 365 0.427322675493 Henry Cohn, 2025, needs more optimization.
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
13 578 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 0.465760162381 Henry Cohn, 2025, needs more optimization.
13 580 0.465878867392 Henry Cohn, 2025, needs more optimization.
13 581 0.466520257477 Henry Cohn, 2025, needs more optimization.
13 582 0.466526058863 Henry Cohn, 2025, needs more optimization.
13 583 0.466749778245 Henry Cohn, 2025, needs more optimization.
13 585 0.466836119669 Henry Cohn, 2025, needs more optimization.
13 586 0.467549101040 Henry Cohn, 2025, needs more optimization.
13 587 0.467597032844 Henry Cohn, 2025, needs more optimization.
13 588 0.467652249409 Henry Cohn, 2025, needs more optimization.
13 589 0.467739604797 Henry Cohn, 2025, needs more optimization.
13 590 0.467741430329 Henry Cohn, 2025, needs more optimization.
13 592 0.467886348041 Henry Cohn, 2025, needs more optimization.
13 594 0.467912326048 Henry Cohn, 2025, needs more optimization.
13 596 0.468066916030 Henry Cohn, 2025, needs more optimization.
13 598 0.470190580168 Henry Cohn, 2025, needs more optimization.
13 599 0.470605232125 Henry Cohn, 2025, needs more optimization.
13 601 0.471026039091 Henry Cohn, 2025, needs more optimization.
13 602 0.472796352342 Henry Cohn, 2025, needs more optimization.
13 603 0.473262426000 Henry Cohn, 2025, needs more optimization.
13 605 0.473326994215 Henry Cohn, 2025, needs more optimization.
13 606 0.473527313019 Henry Cohn, 2025, needs more optimization.
13 608 0.473617542938 Henry Cohn, 2025, needs more optimization.
13 609 0.473627679841 Henry Cohn, 2025, needs more optimization.
13 610 0.473665833105 Henry Cohn, 2025, needs more optimization.
13 611 0.473739534858 Henry Cohn, 2025, needs more optimization.
13 612 0.473968640641 Henry Cohn, 2025, needs more optimization.
13 613 0.474406686573 Henry Cohn, 2025, needs more optimization.
13 614 0.474476481362 Henry Cohn, 2025, needs more optimization.
13 615 0.474494086062 Henry Cohn, 2025, needs more optimization.
13 616 0.474907020546 Henry Cohn, 2025, needs more optimization.
13 617 0.474918963482 Henry Cohn, 2025, needs more optimization.
13 618 0.474967584162 Henry Cohn, 2025, needs more optimization.
13 619 0.475383863231 Henry Cohn, 2025, needs more optimization.
13 620 0.475428702904 Henry Cohn, 2025, needs more optimization.
13 621 0.475458135871 Henry Cohn, 2025, needs more optimization.
13 622 0.475534670877 Henry Cohn, 2025, needs more optimization.
13 623 0.475564411116 Henry Cohn, 2025, needs more optimization.
13 624 0.475772458391 Henry Cohn, 2025, needs more optimization.
13 625 0.476112814724 Henry Cohn, 2025, needs more optimization.
13 626 0.476125930108 Henry Cohn, 2025, needs more optimization.
13 627 0.476133672282 Henry Cohn, 2025, needs more optimization.
13 628 0.476281503126 Henry Cohn, 2025, needs more optimization.
13 629 0.476497765410 Henry Cohn, 2025, needs more optimization.
13 630 0.476682055609 Henry Cohn, 2025, needs more optimization.
13 633 0.476779642724 Henry Cohn, 2025, needs more optimization.
13 634 0.476863611299 Henry Cohn, 2025, needs more optimization.
13 635 0.477164338899 Henry Cohn, 2025, needs more optimization.
13 637 0.477285852944 Henry Cohn, 2025, needs more optimization.
13 638 0.477612729804 Henry Cohn, 2025, needs more optimization.
13 639 0.477701773044 Henry Cohn, 2025, needs more optimization.
13 640 0.477875744612 Henry Cohn, 2025, needs more optimization.
13 641 0.477876519895 Henry Cohn, 2025, needs more optimization.
13 642 0.477880331706 Henry Cohn, 2025, needs more optimization.
13 644 0.478034437513 Henry Cohn, 2025, needs more optimization.
13 645 0.478368394521 Henry Cohn, 2025, needs more optimization.
13 646 0.478412887584 Henry Cohn, 2025, needs more optimization.
13 647 0.478492404615 Henry Cohn, 2025, needs more optimization.
13 648 0.478505831111 Henry Cohn, 2025, needs more optimization.
13 649 0.478509908716 Henry Cohn, 2025, needs more optimization.
13 650 0.478832290317 Henry Cohn, 2025, needs more optimization.
13 651 0.478838229297 Henry Cohn, 2025, needs more optimization.
13 652 0.478862749946 Henry Cohn, 2025, needs more optimization.
13 653 0.479050421989 Henry Cohn, 2025, needs more optimization.
13 654 0.479075922234 Henry Cohn, 2025, needs more optimization.
13 655 0.479603675125 Henry Cohn, 2025, needs more optimization.
13 656 0.479618930176 Henry Cohn, 2025, needs more optimization.
13 657 0.479687023902 Henry Cohn, 2025, needs more optimization.
13 658 0.479704383217 Henry Cohn, 2025, needs more optimization.
13 659 0.479730979245 Henry Cohn, 2025, needs more optimization.
13 660 0.480352199623 Henry Cohn, 2025, needs more optimization.
13 661 0.480364890268 Henry Cohn, 2025, needs more optimization.
13 662 0.480375210672 Henry Cohn, 2025, needs more optimization.
13 663 0.480413160407 Henry Cohn, 2025, needs more optimization.
13 664 0.480458260596 Henry Cohn, 2025, needs more optimization.
13 665 0.480771700158 Henry Cohn, 2025, needs more optimization.
13 666 0.480815251640 Henry Cohn, 2025, needs more optimization.
13 667 0.480821848300 Henry Cohn, 2025, needs more optimization.
13 668 0.480831636065 Henry Cohn, 2025, needs more optimization.
13 670 0.480891611906 Henry Cohn, 2025, needs more optimization.
13 672 0.481273438735 Henry Cohn, 2025, needs more optimization.
13 673 0.481283021102 Henry Cohn, 2025, needs more optimization.
13 674 0.481286722824 Henry Cohn, 2025, needs more optimization.
13 675 0.481644119395 Henry Cohn, 2025, needs more optimization.
13 676 0.481815790099 Henry Cohn, 2025, needs more optimization.
13 677 0.481830390467 Henry Cohn, 2025, needs more optimization.
13 678 0.481839212161 Henry Cohn, 2025, needs more optimization.
13 679 0.482152300430 Henry Cohn, 2025, needs more optimization.
13 680 0.482158188451 Henry Cohn, 2025, needs more optimization.
13 681 0.482244561852 Henry Cohn, 2025, needs more optimization.
13 682 0.482447772105 Henry Cohn, 2025, needs more optimization.
13 684 0.482492842537 Henry Cohn, 2025, needs more optimization.
13 685 0.482690842239 Henry Cohn, 2025, needs more optimization.
13 687 0.482727338345 Henry Cohn, 2025, needs more optimization.
13 690 0.482950436988 Henry Cohn, 2025, needs more optimization.
13 691 0.483009366512 Henry Cohn, 2025, needs more optimization.
13 692 0.483681082913 Henry Cohn, 2025, needs more optimization.
13 693 0.483709965529 Henry Cohn, 2025, needs more optimization.
13 694 0.483730398335 Henry Cohn, 2025, needs more optimization.
13 695 0.483792803740 Henry Cohn, 2025, needs more optimization.
13 696 0.483801469565 Henry Cohn, 2025, needs more optimization.
13 697 0.483911175969 Henry Cohn, 2025, needs more optimization.
13 698 0.484152354313 Henry Cohn, 2025, needs more optimization.
13 699 0.484210773256 Henry Cohn, 2025, needs more optimization.
13 701 0.484248420249 Henry Cohn, 2025, needs more optimization.
13 702 0.484296547674 Henry Cohn, 2025, needs more optimization.
13 703 0.484305418348 Henry Cohn, 2025, needs more optimization.
13 704 0.484322976289 Henry Cohn, 2025, needs more optimization.
13 705 0.484447011111 Henry Cohn, 2025, needs more optimization.
13 706 0.484679433637 Henry Cohn, 2025, needs more optimization.
13 707 0.484760353386 Henry Cohn, 2025, needs more optimization.
13 708 0.484930830351 Henry Cohn, 2025, needs more optimization.
13 710 0.484952826874 Henry Cohn, 2025, needs more optimization.
13 711 0.485000116805 Henry Cohn, 2025, needs more optimization.
13 712 0.485002072923 Henry Cohn, 2025, needs more optimization.
13 713 0.485229599396 Henry Cohn, 2025, needs more optimization.
13 714 0.485290800683 Henry Cohn, 2025, needs more optimization.
13 715 0.485404172857 Henry Cohn, 2025, needs more optimization.
13 717 0.485463210063 Henry Cohn, 2025, needs more optimization.
13 718 0.485467615749 Henry Cohn, 2025, needs more optimization.
13 719 0.485470715310 Henry Cohn, 2025, needs more optimization.
13 720 0.485496674986 Henry Cohn, 2025, needs more optimization.
13 721 0.485591204459 Henry Cohn, 2025, needs more optimization.
13 722 0.485628456057 Henry Cohn, 2025, needs more optimization.
13 723 0.485669629147 Henry Cohn, 2025, needs more optimization.
13 724 0.486240168230 Henry Cohn, 2025, needs more optimization.
13 726 0.486280927886 Henry Cohn, 2025, needs more optimization.
13 727 0.486320788336 Henry Cohn, 2025, needs more optimization.
13 728 0.486338728409 Henry Cohn, 2025, needs more optimization.
13 729 0.486343174788 Henry Cohn, 2025, needs more optimization.
13 730 0.486353841057 Henry Cohn, 2025, needs more optimization.
13 731 0.486407527049 Henry Cohn, 2025, needs more optimization.
13 733 0.486424756451 Henry Cohn, 2025, needs more optimization.
13 734 0.486492245340 Henry Cohn, 2025, needs more optimization.
13 735 0.486528687498 Henry Cohn, 2025, needs more optimization.
13 737 0.486633741742 Henry Cohn, 2025, needs more optimization.
13 738 0.486650314938 Henry Cohn, 2025, needs more optimization.
13 739 0.486674807439 Henry Cohn, 2025, needs more optimization.
13 740 0.486770587597 Henry Cohn, 2025, needs more optimization.
13 741 0.486774481368 Henry Cohn, 2025, needs more optimization.
13 742 0.486790725017 Henry Cohn, 2025, needs more optimization.
13 744 0.486814551011 Henry Cohn, 2025, needs more optimization.
13 745 0.486832029598 Henry Cohn, 2025, needs more optimization.
13 746 0.486949423833 Henry Cohn, 2025, needs more optimization.
13 747 0.486995072672 Henry Cohn, 2025, needs more optimization.
13 749 0.487297499593 Henry Cohn, 2025, needs more optimization.
13 750 0.487330450141 Henry Cohn, 2025, needs more optimization.
13 751 0.487380839577 Henry Cohn, 2025, needs more optimization.
13 752 0.487385208463 Henry Cohn, 2025, needs more optimization.
13 753 0.487396589409 Henry Cohn, 2025, needs more optimization.
13 754 0.487399549613 Henry Cohn, 2025, needs more optimization.
13 755 0.487502436563 Henry Cohn, 2025, needs more optimization.
13 756 0.487593428164 Henry Cohn, 2025, needs more optimization.
13 757 0.498281596307 Orthogonal union of 755 points in 12 dimensions and 2 points in 1 dimension.
13 758 0.499999999946 Orthogonal union of 756 points in 12 dimensions and 2 points in 1 dimension.
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 0.067586771091 H. Cohn, Small spherical and projective codes, data set, 2022, 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, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
10⁢x−1
14 45 0.112912613537 Henry Cohn, 2023.
167⁢x2−10⁢x−1
14 46 0.114212424977 Henry Cohn, 2024.
14 47 0.114784810578 Henry Cohn, 2025.
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 0.126131559542 Henry Cohn, 2025.
14 52 0.126131983623 Henry Cohn, 2023.
47⁢x2+2⁢x−1
14 53 0.127207031161 Henry Cohn, 2024.
14 54 0.135105967369 Henry Cohn, 2024.
14 55 0.136745922263 Henry Cohn, 2023.
14 56 0.139995758129 Henry Cohn, 2024.
14 57 0.142195254755 Henry Cohn, 2024.
14 64 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
14 65 0.165287555076 Henry Cohn, 2024.
25600⁢x4−5616⁢x3−2736⁢x2+81
14 70 0.166666666667 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
6⁢x−1
14 71 0.177427267176 Henry Cohn, 2024.
196⁢x4−56⁢x3−28⁢x2+1
14 72 0.190380946291 Henry Cohn, 2025, needs more optimization.
14 73 0.192345127016 Henry Cohn, 2025, needs more optimization.
14 74 0.193141439377 Henry Cohn, 2025, needs more optimization.
14 75 0.193258548341 Henry Cohn, 2025, needs more optimization.
14 76 0.193540602172 Henry Cohn, 2025, needs more optimization.
14 77 0.193846313835 Henry Cohn, 2025, needs more optimization.
14 78 0.195751116962 Henry Cohn, 2025, needs more optimization.
14 79 0.196277979954 Henry Cohn, 2025, needs more optimization.
14 80 0.197842533335 Henry Cohn, 2025, needs more optimization.
14 81 0.202781705284 Henry Cohn, 2025, needs more optimization.
14 82 0.204755180186 Henry Cohn, 2025, needs more optimization.
14 83 0.204839922395 Henry Cohn, 2025, needs more optimization.
14 85 0.208849195936 Henry Cohn, 2023.
Minimal polynomial listed in plain text data
14 86 0.209451170904 Henry Cohn, 2025, needs more optimization.
14 87 0.210964726013 Henry Cohn, 2025, needs more optimization.
14 88 0.212303452204 Henry Cohn, 2025, needs more optimization.
14 89 0.215912748246 Henry Cohn, 2025, needs more optimization.
14 90 0.218314485728 Henry Cohn, 2025, needs more optimization.
14 92 0.219190836910 Henry Cohn, 2025, needs more optimization.
14 93 0.221802010248 Henry Cohn, 2025, needs more optimization.
14 94 0.222103723307 Henry Cohn, 2025, needs more optimization.
14 95 0.222434592114 Henry Cohn, 2025, needs more optimization.
14 96 0.225021343331 Henry Cohn, 2025, needs more optimization.
14 97 0.226126707434 Henry Cohn, 2025, needs more optimization.
14 98 0.226724281633 Henry Cohn, 2025, needs more optimization.
14 99 0.228452090377 Henry Cohn, 2025, needs more optimization.
14 100 0.230357184555 Henry Cohn, 2025, needs more optimization.
14 101 0.230848496640 Henry Cohn, 2025, needs more optimization.
14 102 0.230945728646 Henry Cohn, 2025, needs more optimization.
14 103 0.232550211742 Henry Cohn, 2025, needs more optimization.
14 104 0.236361553503 Henry Cohn, 2025, needs more optimization.
14 105 0.236770131872 Henry Cohn, 2025, needs more optimization.
14 106 0.236894719583 Henry Cohn, 2025, needs more optimization.
14 107 0.237091962935 Henry Cohn, 2025, needs more optimization.
14 108 0.239577883783 Henry Cohn, 2025, needs more optimization.
14 109 0.239809178624 Henry Cohn, 2025, needs more optimization.
14 110 0.240064401441 Henry Cohn, 2025, needs more optimization.
14 111 0.240316808834 Henry Cohn, 2025, needs more optimization.
14 112 0.240568993915 Henry Cohn, 2025, needs more optimization.
14 113 0.243048850924 Henry Cohn, 2025, needs more optimization.
14 114 0.243745601984 Henry Cohn, 2025, needs more optimization.
14 115 0.243908409205 Henry Cohn, 2025, needs more optimization.
14 116 0.246230705585 Henry Cohn, 2025, needs more optimization.
14 117 0.246368284482 Henry Cohn, 2025, needs more optimization.
14 118 0.246816351710 Henry Cohn, 2025, needs more optimization.
14 119 0.251886312039 Henry Cohn, 2025, needs more optimization.
14 120 0.253130356283 Henry Cohn, 2025, needs more optimization.
14 121 0.253453301626 Henry Cohn, 2025, needs more optimization.
14 122 0.255464134903 Henry Cohn, 2025, needs more optimization.
14 123 0.256525430412 Henry Cohn, 2025, needs more optimization.
14 124 0.258107209896 Henry Cohn, 2025, needs more optimization.
14 125 0.258965284690 Henry Cohn, 2025, needs more optimization.
14 126 0.259561128803 Henry Cohn, 2025, needs more optimization.
14 127 0.260377360047 Henry Cohn, 2025, needs more optimization.
14 128 0.269162544006 Henry Cohn, 2025, needs more optimization.
14 129 0.269241199934 Henry Cohn, 2025, needs more optimization.
14 130 0.269295410191 Henry Cohn, 2025, needs more optimization.
14 131 0.269302795236 Henry Cohn, 2025, needs more optimization.
14 132 0.269415893133 Henry Cohn, 2025, needs more optimization.
14 134 0.269451907063 Henry Cohn, 2025, needs more optimization.
14 139 0.269775071762 Henry Cohn, 2025, needs more optimization.
14 140 0.269775920578 Henry Cohn, 2025, needs more optimization.
14 141 0.272104928792 Henry Cohn, 2025, needs more optimization.
14 142 0.272329647870 Henry Cohn, 2025, needs more optimization.
14 143 0.272405106171 Henry Cohn, 2025, needs more optimization.
14 144 0.272437729807 Henry Cohn, 2025, needs more optimization.
14 145 0.272534864968 Henry Cohn, 2025, needs more optimization.
14 146 0.272592962850 Henry Cohn, 2025, needs more optimization.
14 147 0.272694122321 Henry Cohn, 2025, needs more optimization.
14 156 0.283473354757 Henry Cohn, 2024.
112⁢x2−9
14 157 0.292170789258 Henry Cohn, 2025, needs more optimization.
14 158 0.302067203603 Henry Cohn, 2025, needs more optimization.
14 159 0.303040415084 Henry Cohn, 2025, needs more optimization.
14 160 0.303715181522 Henry Cohn, 2025, needs more optimization.
14 161 0.303918875428 Henry Cohn, 2025, needs more optimization.
14 162 0.305079713973 Henry Cohn, 2025, needs more optimization.
14 163 0.305192252733 Henry Cohn, 2025, needs more optimization.
14 164 0.305598848978 Henry Cohn, 2025, needs more optimization.
14 165 0.306089664699 Henry Cohn, 2025, needs more optimization.
14 166 0.306889835310 Henry Cohn, 2025, needs more optimization.
14 167 0.307264865180 Henry Cohn, 2025, needs more optimization.
14 168 0.308194096002 Henry Cohn, 2025, needs more optimization.
14 169 0.308754926027 Henry Cohn, 2025, needs more optimization.
14 170 0.309107646102 Henry Cohn, 2025, needs more optimization.
14 171 0.310063859813 Henry Cohn, 2025, needs more optimization.
14 172 0.310239995335 Henry Cohn, 2025, needs more optimization.
14 173 0.311130076434 Henry Cohn, 2025, needs more optimization.
14 174 0.311663470934 Henry Cohn, 2025, needs more optimization.
14 175 0.312596008311 Henry Cohn, 2025, needs more optimization.
14 176 0.312610152314 Henry Cohn, 2025, needs more optimization.
14 177 0.313177982569 Henry Cohn, 2025, needs more optimization.
14 178 0.314175360377 Henry Cohn, 2025, needs more optimization.
14 179 0.314283791544 Henry Cohn, 2025, needs more optimization.
14 180 0.315506865124 Henry Cohn, 2025, needs more optimization.
14 181 0.316266823349 Henry Cohn, 2025, needs more optimization.
14 182 0.316638791356 Henry Cohn, 2025, needs more optimization.
14 183 0.316810984461 Henry Cohn, 2025, needs more optimization.
14 184 0.317722125125 Henry Cohn, 2025, needs more optimization.
14 210 0.318181818182 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
22⁢x−7
14 211 0.325300528488 Henry Cohn, 2025, needs more optimization.
14 212 0.325690655390 Henry Cohn, 2025, needs more optimization.
14 213 0.326172213288 Henry Cohn, 2025, needs more optimization.
14 214 0.326979082693 Henry Cohn, 2025, needs more optimization.
14 215 0.327152234599 Henry Cohn, 2025, needs more optimization.
14 216 0.327356260471 Henry Cohn, 2025, needs more optimization.
14 217 0.327965568816 Henry Cohn, 2025, needs more optimization.
14 218 0.328126619321 Henry Cohn, 2025, needs more optimization.
14 219 0.328314366909 Henry Cohn, 2025, needs more optimization.
14 220 0.328720029058 Henry Cohn, 2025, needs more optimization.
14 221 0.328966725671 Henry Cohn, 2025, needs more optimization.
14 222 0.329487591156 Henry Cohn, 2025, needs more optimization.
14 223 0.330252933499 Henry Cohn, 2025, needs more optimization.
14 224 0.330281545569 Henry Cohn, 2025, needs more optimization.
14 225 0.331144678207 Henry Cohn, 2025, needs more optimization.
14 226 0.331375552972 Henry Cohn, 2025, 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
14 241 0.343443257426 Henry Cohn, 2025, needs more optimization.
14 242 0.344641179875 Henry Cohn, 2025, needs more optimization.
14 243 0.345041806823 Henry Cohn, 2025, needs more optimization.
14 244 0.346614718976 Henry Cohn, 2025, needs more optimization.
14 245 0.346847549033 Henry Cohn, 2025, needs more optimization.
14 246 0.347185043456 Henry Cohn, 2025, needs more optimization.
14 247 0.347309517533 Henry Cohn, 2025, needs more optimization.
14 248 0.347659357725 Henry Cohn, 2025, needs more optimization.
14 249 0.348229806325 Henry Cohn, 2025, needs more optimization.
14 250 0.349688258248 Henry Cohn, 2025, needs more optimization.
14 251 0.350016308850 Henry Cohn, 2025, needs more optimization.
14 252 0.350665441009 Henry Cohn, 2025, needs more optimization.
14 253 0.351073618367 Henry Cohn, 2025, needs more optimization.
14 254 0.351683821166 Henry Cohn, 2025, needs more optimization.
14 255 0.352483120306 Henry Cohn, 2025, needs more optimization.
14 256 0.353164835175 Henry Cohn, 2025, needs more optimization.
14 257 0.353559636901 Henry Cohn, 2025, needs more optimization.
14 258 0.353906835767 Henry Cohn, 2025, needs more optimization.
14 259 0.355177454212 Henry Cohn, 2025, needs more optimization.
14 260 0.355808513126 Henry Cohn, 2025, needs more optimization.
14 261 0.356150511500 Henry Cohn, 2025, needs more optimization.
14 262 0.356808390904 Henry Cohn, 2025, needs more optimization.
14 263 0.357767819441 Henry Cohn, 2025, needs more optimization.
14 264 0.358039648994 Henry Cohn, 2025, needs more optimization.
14 265 0.358290744842 Henry Cohn, 2025, needs more optimization.
14 266 0.358978953051 Henry Cohn, 2025, needs more optimization.
14 267 0.359918142216 Henry Cohn, 2025, needs more optimization.
14 268 0.360555884409 Henry Cohn, 2025, needs more optimization.
14 269 0.360915079745 Henry Cohn, 2025, needs more optimization.
14 270 0.361407090190 Henry Cohn, 2025, needs more optimization.
14 271 0.362134381885 Henry Cohn, 2025, needs more optimization.
14 272 0.362951161274 Henry Cohn, 2025, needs more optimization.
14 273 0.363581659973 Henry Cohn, 2025, needs more optimization.
14 274 0.363884219428 Henry Cohn, 2025, needs more optimization.
14 275 0.364377040270 Henry Cohn, 2025, needs more optimization.
14 276 0.365018824708 Henry Cohn, 2025, needs more optimization.
14 277 0.365306059200 Henry Cohn, 2025, needs more optimization.
14 278 0.366097092776 Henry Cohn, 2025, needs more optimization.
14 279 0.366627420376 Henry Cohn, 2025, needs more optimization.
14 280 0.367210137484 Henry Cohn, 2025, needs more optimization.
14 281 0.367374387058 Henry Cohn, 2025, needs more optimization.
14 282 0.367999577672 Henry Cohn, 2025, needs more optimization.
14 283 0.369099873467 Henry Cohn, 2025, needs more optimization.
14 284 0.369263491535 Henry Cohn, 2025, needs more optimization.
14 285 0.369879337667 Henry Cohn, 2025, needs more optimization.
14 286 0.370514853423 Henry Cohn, 2025, needs more optimization.
14 287 0.371801135921 Henry Cohn, 2025, needs more optimization.
14 288 0.371814064532 Henry Cohn, 2025, needs more optimization.
14 289 0.371959609332 Henry Cohn, 2025, needs more optimization.
14 290 0.372481839453 Henry Cohn, 2025, needs more optimization.
14 291 0.373166214843 Henry Cohn, 2025, needs more optimization.
14 292 0.373963721635 Henry Cohn, 2025, needs more optimization.
14 293 0.374937004028 Henry Cohn, 2025, needs more optimization.
14 294 0.376281861987 Henry Cohn, 2025, needs more optimization.
14 295 0.376381695406 Henry Cohn, 2025, needs more optimization.
14 296 0.377169256621 Henry Cohn, 2025, needs more optimization.
14 297 0.377407614729 Henry Cohn, 2025, needs more optimization.
14 298 0.378107173729 Henry Cohn, 2025, needs more optimization.
14 299 0.378161689360 Henry Cohn, 2025, needs more optimization.
14 300 0.378682755525 Henry Cohn, 2025, needs more optimization.
14 301 0.379071006613 Henry Cohn, 2025, needs more optimization.
14 302 0.379576504054 Henry Cohn, 2025, needs more optimization.
14 364 0.380952380953 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.
21⁢x−8
14 365 0.397098300526 Henry Cohn, 2025, needs more optimization.
14 368 0.397145840423 Henry Cohn, 2025, needs more optimization.
14 369 0.397194787791 Henry Cohn, 2025, needs more optimization.
14 374 0.397325988200 Henry Cohn, 2025, needs more optimization.
14 375 0.397351458057 Henry Cohn, 2025, needs more optimization.
14 376 0.397632215836 Henry Cohn, 2025, 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
14 600 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 0.449207869913 Henry Cohn, 2025, needs more optimization.
14 602 0.449333381254 Henry Cohn, 2025, needs more optimization.
14 603 0.449362852792 Henry Cohn, 2025, needs more optimization.
14 604 0.449374207439 Henry Cohn, 2025, needs more optimization.
14 605 0.449419443411 Henry Cohn, 2025, needs more optimization.
14 606 0.449449970579 Henry Cohn, 2025, needs more optimization.
14 607 0.449456117925 Henry Cohn, 2025, needs more optimization.
14 608 0.449534239098 Henry Cohn, 2025, needs more optimization.
14 609 0.449616251610 Henry Cohn, 2025, needs more optimization.
14 610 0.449814139986 Henry Cohn, 2025, needs more optimization.
14 611 0.449832879457 Henry Cohn, 2025, needs more optimization.
14 612 0.449873820469 Henry Cohn, 2025, needs more optimization.
14 613 0.449891110112 Henry Cohn, 2025, needs more optimization.
14 614 0.449917409215 Henry Cohn, 2025, needs more optimization.
14 615 0.449968947223 Henry Cohn, 2025, needs more optimization.
14 617 0.450025742324 Henry Cohn, 2025, needs more optimization.
14 618 0.450050768091 Henry Cohn, 2025, needs more optimization.
14 619 0.450100971958 Henry Cohn, 2025, needs more optimization.
14 620 0.450209203153 Henry Cohn, 2025, needs more optimization.
14 621 0.450385983447 Henry Cohn, 2025, needs more optimization.
14 622 0.450421948339 Henry Cohn, 2025, needs more optimization.
14 623 0.450434083794 Henry Cohn, 2025, needs more optimization.
14 624 0.450469005121 Henry Cohn, 2025, needs more optimization.
14 626 0.450475076968 Henry Cohn, 2025, needs more optimization.
14 627 0.450511529085 Henry Cohn, 2025, needs more optimization.
14 628 0.450530130625 Henry Cohn, 2025, needs more optimization.
14 630 0.450749669408 Henry Cohn, 2025, needs more optimization.
14 631 0.450974056585 Henry Cohn, 2025, needs more optimization.
14 634 0.450991332151 Henry Cohn, 2025, needs more optimization.
14 635 0.451020141275 Henry Cohn, 2025, needs more optimization.
14 637 0.451325669072 Henry Cohn, 2025, needs more optimization.
14 638 0.451356225652 Henry Cohn, 2025, needs more optimization.
14 639 0.451460946377 Henry Cohn, 2025, needs more optimization.
14 643 0.451555599778 Henry Cohn, 2025, needs more optimization.
14 644 0.451566570749 Henry Cohn, 2025, needs more optimization.
14 645 0.451608256995 Henry Cohn, 2025, needs more optimization.
14 646 0.451643404608 Henry Cohn, 2025, needs more optimization.
14 647 0.451663253291 Henry Cohn, 2025, needs more optimization.
14 648 0.451692540646 Henry Cohn, 2025, needs more optimization.
14 649 0.451711962071 Henry Cohn, 2025, needs more optimization.
14 650 0.451865137918 Henry Cohn, 2025, needs more optimization.
14 651 0.451929639711 Henry Cohn, 2025, needs more optimization.
14 652 0.451959053838 Henry Cohn, 2025, needs more optimization.
14 653 0.452087841148 Henry Cohn, 2025, needs more optimization.
14 654 0.452097069596 Henry Cohn, 2025, needs more optimization.
14 656 0.452106238804 Henry Cohn, 2025, 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 0.489704058240 Henry Cohn, 2025, needs more optimization.
14 898 0.489752794162 Henry Cohn, 2025, needs more optimization.
14 899 0.490015426560 Henry Cohn, 2025, needs more optimization.
14 900 0.490062651812 Henry Cohn, 2025, needs more optimization.
14 901 0.490095216096 Henry Cohn, 2025, needs more optimization.
14 902 0.490265330208 Henry Cohn, 2025, needs more optimization.
14 905 0.490379396825 Henry Cohn, 2025, needs more optimization.
14 906 0.490398338290 Henry Cohn, 2025, needs more optimization.
14 908 0.490822660605 Henry Cohn, 2025, needs more optimization.
14 909 0.490945688538 Henry Cohn, 2025, needs more optimization.
14 910 0.491224036498 Henry Cohn, 2025, needs more optimization.
14 911 0.491231581030 Henry Cohn, 2025, needs more optimization.
14 912 0.491259362276 Henry Cohn, 2025, needs more optimization.
14 913 0.491266181878 Henry Cohn, 2025, needs more optimization.
14 914 0.491586562305 Henry Cohn, 2025, needs more optimization.
14 915 0.491597691081 Henry Cohn, 2025, needs more optimization.
14 916 0.491606317766 Henry Cohn, 2025, needs more optimization.
14 917 0.491855152299 Henry Cohn, 2025, needs more optimization.
14 918 0.491865095542 Henry Cohn, 2025, needs more optimization.
14 919 0.491878016348 Henry Cohn, 2025, needs more optimization.
14 920 0.491906243081 Henry Cohn, 2025, needs more optimization.
14 921 0.492223008341 Henry Cohn, 2025, needs more optimization.
14 922 0.492232777061 Henry Cohn, 2025, needs more optimization.
14 923 0.492302632840 Henry Cohn, 2025, needs more optimization.
14 924 0.492320562688 Henry Cohn, 2025, needs more optimization.
14 925 0.492327194287 Henry Cohn, 2025, needs more optimization.
14 926 0.492446494583 Henry Cohn, 2025, needs more optimization.
14 927 0.492666262172 Henry Cohn, 2025, needs more optimization.
14 928 0.492680177151 Henry Cohn, 2025, needs more optimization.
14 929 0.492692208983 Henry Cohn, 2025, needs more optimization.
14 930 0.492975622881 Henry Cohn, 2025, needs more optimization.
14 931 0.493017067245 Henry Cohn, 2025, needs more optimization.
14 932 0.493031552326 Henry Cohn, 2025, needs more optimization.
14 933 0.493099194502 Henry Cohn, 2025, needs more optimization.
14 934 0.493424999986 Henry Cohn, 2025, needs more optimization.
14 935 0.493436866895 Henry Cohn, 2025, needs more optimization.
14 936 0.493483349253 Henry Cohn, 2025, needs more optimization.
14 937 0.493641027705 Henry Cohn, 2025, needs more optimization.
14 938 0.493697769727 Henry Cohn, 2025, needs more optimization.
14 939 0.493706887962 Henry Cohn, 2025, needs more optimization.
14 940 0.493971106255 Henry Cohn, 2025, needs more optimization.
14 941 0.493974355695 Henry Cohn, 2025, needs more optimization.
14 943 0.494147583322 Henry Cohn, 2025, needs more optimization.
14 944 0.494413160715 Henry Cohn, 2025, needs more optimization.
14 945 0.494441938719 Henry Cohn, 2025, needs more optimization.
14 946 0.494456422769 Henry Cohn, 2025, needs more optimization.
14 947 0.494688575887 Henry Cohn, 2025, needs more optimization.
14 948 0.494709935643 Henry Cohn, 2025, needs more optimization.
14 949 0.494749973807 Henry Cohn, 2025, needs more optimization.
14 950 0.495012728768 Henry Cohn, 2025, needs more optimization.
14 951 0.495023039759 Henry Cohn, 2025, needs more optimization.
14 952 0.495025892653 Henry Cohn, 2025, needs more optimization.
14 953 0.495031085664 Henry Cohn, 2025, needs more optimization.
14 954 0.495157261660 Henry Cohn, 2025, needs more optimization.
14 955 0.495170700403 Henry Cohn, 2025, needs more optimization.
14 956 0.495172578415 Henry Cohn, 2025, needs more optimization.
14 957 0.495376527378 Henry Cohn, 2025, needs more optimization.
14 958 0.495386570918 Henry Cohn, 2025, needs more optimization.
14 960 0.495661407849 Henry Cohn, 2025, needs more optimization.
14 961 0.495765560894 Henry Cohn, 2025, needs more optimization.
14 963 0.496056693148 Henry Cohn, 2025, needs more optimization.
14 964 0.496137378741 Henry Cohn, 2025, needs more optimization.
14 965 0.496348709997 Henry Cohn, 2025, needs more optimization.
14 966 0.496371443162 Henry Cohn, 2025, needs more optimization.
14 967 0.496389317457 Henry Cohn, 2025, needs more optimization.
14 968 0.496395472382 Henry Cohn, 2025, needs more optimization.
14 969 0.496658700984 Henry Cohn, 2025, needs more optimization.
14 970 0.496665185326 Henry Cohn, 2025, needs more optimization.
14 971 0.496922774268 Henry Cohn, 2025, needs more optimization.
14 972 0.496982299062 Henry Cohn, 2025, needs more optimization.
14 973 0.497000563595 Henry Cohn, 2025, needs more optimization.
14 974 0.497087302693 Henry Cohn, 2025, needs more optimization.
14 975 0.497289348022 Henry Cohn, 2025, needs more optimization.
14 976 0.497314187306 Henry Cohn, 2025, needs more optimization.
14 977 0.497367279642 Henry Cohn, 2025, needs more optimization.
14 978 0.497607125645 Henry Cohn, 2025, needs more optimization.
14 979 0.497654773739 Henry Cohn, 2025, needs more optimization.
14 980 0.497678226149 Henry Cohn, 2025, needs more optimization.
14 981 0.497751573565 Henry Cohn, 2025, needs more optimization.
14 982 0.497991583279 Henry Cohn, 2025, needs more optimization.
14 983 0.498011822506 Henry Cohn, 2025, needs more optimization.
14 984 0.498026682597 Henry Cohn, 2025, needs more optimization.
14 985 0.498029179824 Henry Cohn, 2025, needs more optimization.
14 986 0.498291451097 Henry Cohn, 2025, needs more optimization.
14 987 0.498476341963 Henry Cohn, 2025, needs more optimization.
14 988 0.498553697534 Henry Cohn, 2025, needs more optimization.
14 989 0.498578439165 Henry Cohn, 2025, needs more optimization.
14 990 0.498764331870 Henry Cohn, 2025, needs more optimization.
14 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
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 0.066570393659 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 0.079985426607 Henry Cohn, 2025.
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 0.093096358366 Henry Cohn, 2025.
15 42 0.096809796022 Henry Cohn, 2023.
15 43 0.099946507384 Henry Cohn, 2025.
15 44 0.099976426707 Henry Cohn, 2025.
15 45 0.105767188891 Henry Cohn, 2023.
15 46 0.110902851506 Henry Cohn, 2025.
15 47 0.111399554996 Henry Cohn, 2025.
15 48 0.112658502182 Henry Cohn, 2025.
15 52 0.112912613537 Henry Cohn, 2025.
167⁢x2−10⁢x−1
15 57 0.115470053838 Henry Cohn, 2024.
75⁢x2−1
15 58 0.119569915564 Henry Cohn, 2025.
15 59 0.128965209290 Henry Cohn, 2025, needs more optimization.
15 60 0.129260671861 Henry Cohn, 2024.
15 61 0.129429372250 Henry Cohn, 2025, needs more optimization.
15 62 0.129619175385 Henry Cohn, 2025, needs more optimization.
15 63 0.129676179734 Henry Cohn, 2025, needs more optimization.
15 64 0.129676245977 Henry Cohn, 2025, needs more optimization.
15 65 0.129676247112 Henry Cohn, 2024.
15 66 0.142857038845 Henry Cohn, 2024, needs more optimization.
15 67 0.144353409494 Henry Cohn, 2023.
15 68 0.147909051068 Henry Cohn, 2024.
15 69 0.160033734974 Henry Cohn, 2024.
15 70 0.160964563056 Henry Cohn, 2024.
15 71 0.166657746131 Henry Cohn, 2024, needs more optimization.
15 72 0.166658039776 Henry Cohn, 2024, 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
15 128 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
15 129 0.234089217225 Henry Cohn, 2025, needs more optimization.
15 130 0.234145244435 Henry Cohn, 2025, needs more optimization.
15 131 0.234304135189 Henry Cohn, 2025, needs more optimization.
15 132 0.235892107204 Henry Cohn, 2025, needs more optimization.
15 133 0.236071364944 Henry Cohn, 2025, needs more optimization.
15 134 0.236103957880 Henry Cohn, 2025, needs more optimization.
15 135 0.238691133662 Henry Cohn, 2025, needs more optimization.
15 136 0.238700362442 Henry Cohn, 2025, needs more optimization.
15 137 0.241301645088 Henry Cohn, 2025, needs more optimization.
15 138 0.241664423454 Henry Cohn, 2025, needs more optimization.
15 139 0.241671589608 Henry Cohn, 2025, needs more optimization.
15 140 0.241752312768 Henry Cohn, 2025, needs more optimization.
15 141 0.242095606112 Henry Cohn, 2025, needs more optimization.
15 142 0.242158076585 Henry Cohn, 2025, needs more optimization.
15 143 0.242164604781 Henry Cohn, 2025, needs more optimization.
15 144 0.242222579654 Henry Cohn, 2025, needs more optimization.
15 145 0.242256882251 Henry Cohn, 2025, needs more optimization.
15 146 0.242380045073 Henry Cohn, 2025, needs more optimization.
15 148 0.247950353041 Henry Cohn, 2025, needs more optimization.
15 149 0.248016636263 Henry Cohn, 2025, needs more optimization.
15 150 0.248343586703 Henry Cohn, 2025, needs more optimization.
15 151 0.248425559491 Henry Cohn, 2025, needs more optimization.
15 152 0.249244577416 Henry Cohn, 2025, needs more optimization.
15 156 0.25 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
4⁢x−1
15 157 0.254610729363 Henry Cohn, 2024.
15 158 0.254980551062 Henry Cohn, 2025, needs more optimization.
15 159 0.280122773638 Henry Cohn, 2025, needs more optimization.
15 160 0.281043122933 Henry Cohn, 2025, needs more optimization.
15 161 0.282043272270 Henry Cohn, 2025, needs more optimization.
15 162 0.282670583491 Henry Cohn, 2025, needs more optimization.
15 163 0.283656221365 Henry Cohn, 2025, needs more optimization.
15 164 0.284223640612 Henry Cohn, 2025, needs more optimization.
15 165 0.285342555731 Henry Cohn, 2025, needs more optimization.
15 166 0.286368370901 Henry Cohn, 2025, needs more optimization.
15 167 0.287301632145 Henry Cohn, 2025, needs more optimization.
15 168 0.287761232741 Henry Cohn, 2025, needs more optimization.
15 169 0.288890568183 Henry Cohn, 2025, needs more optimization.
15 170 0.289686605084 Henry Cohn, 2025, needs more optimization.
15 171 0.290193984956 Henry Cohn, 2025, needs more optimization.
15 172 0.290799188525 Henry Cohn, 2025, needs more optimization.
15 173 0.291845590846 Henry Cohn, 2025, needs more optimization.
15 174 0.292777256477 Henry Cohn, 2025, needs more optimization.
15 175 0.293431238223 Henry Cohn, 2025, needs more optimization.
15 176 0.294252993096 Henry Cohn, 2025, needs more optimization.
15 177 0.294642753443 Henry Cohn, 2025, needs more optimization.
15 178 0.295676071871 Henry Cohn, 2025, needs more optimization.
15 179 0.295977825131 Henry Cohn, 2025, needs more optimization.
15 180 0.296764354818 Henry Cohn, 2025, needs more optimization.
15 181 0.297676786319 Henry Cohn, 2025, needs more optimization.
15 182 0.298436670645 Henry Cohn, 2025, needs more optimization.
15 183 0.299594024355 Henry Cohn, 2025, needs more optimization.
15 184 0.299618444881 Henry Cohn, 2025, needs more optimization.
15 185 0.300389070232 Henry Cohn, 2025, needs more optimization.
15 186 0.301087845438 Henry Cohn, 2025, needs more optimization.
15 187 0.301208926203 Henry Cohn, 2025, needs more optimization.
15 188 0.302303208867 Henry Cohn, 2025, needs more optimization.
15 189 0.302647172480 Henry Cohn, 2025, needs more optimization.
15 190 0.303684371628 Henry Cohn, 2025, needs more optimization.
15 191 0.303753277720 Henry Cohn, 2025, needs more optimization.
15 192 0.303948287969 Henry Cohn, 2025, needs more optimization.
15 256 0.304347826087 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.
23⁢x−7
15 257 0.306540134923 Henry Cohn, 2025, needs more optimization.
15 259 0.306654650932 Henry Cohn, 2025, needs more optimization.
15 260 0.309863558729 Henry Cohn, 2025, needs more optimization.
15 261 0.311195780671 Henry Cohn, 2025, needs more optimization.
15 262 0.311874169030 Henry Cohn, 2025, needs more optimization.
15 263 0.311906853926 Henry Cohn, 2025, needs more optimization.
15 264 0.313683719286 Henry Cohn, 2025, 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 0.359093810224 Henry Cohn, 2025, needs more optimization.
15 322 0.359786546355 Henry Cohn, 2025, needs more optimization.
15 323 0.360350644506 Henry Cohn, 2025, needs more optimization.
15 324 0.360832497688 Henry Cohn, 2025, needs more optimization.
15 325 0.361492681968 Henry Cohn, 2025, needs more optimization.
15 326 0.361954869322 Henry Cohn, 2025, needs more optimization.
15 327 0.362316006466 Henry Cohn, 2025, needs more optimization.
15 328 0.362660392682 Henry Cohn, 2025, needs more optimization.
15 329 0.362725751881 Henry Cohn, 2025, needs more optimization.
15 330 0.363243884758 Henry Cohn, 2025, needs more optimization.
15 331 0.363775670621 Henry Cohn, 2025, needs more optimization.
15 332 0.364417160455 Henry Cohn, 2025, needs more optimization.
15 333 0.364507937181 Henry Cohn, 2025, needs more optimization.
15 334 0.364679197221 Henry Cohn, 2025, needs more optimization.
15 335 0.365432483661 Henry Cohn, 2025, needs more optimization.
15 336 0.365786066505 Henry Cohn, 2025, needs more optimization.
15 337 0.366177273723 Henry Cohn, 2025, needs more optimization.
15 338 0.366571951241 Henry Cohn, 2025, needs more optimization.
15 339 0.367267033732 Henry Cohn, 2025, needs more optimization.
15 340 0.368143489396 Henry Cohn, 2025, needs more optimization.
15 341 0.368187748177 Henry Cohn, 2025, needs more optimization.
15 342 0.368246065004 Henry Cohn, 2025, needs more optimization.
15 343 0.368757477241 Henry Cohn, 2025, needs more optimization.
15 344 0.369478015054 Henry Cohn, 2025, needs more optimization.
15 345 0.371128741443 Henry Cohn, 2025, needs more optimization.
15 346 0.371194780672 Henry Cohn, 2025, needs more optimization.
15 347 0.372096095358 Henry Cohn, 2025, needs more optimization.
15 348 0.372220053460 Henry Cohn, 2025, needs more optimization.
15 349 0.372544767915 Henry Cohn, 2025, needs more optimization.
15 350 0.372991120637 Henry Cohn, 2025, needs more optimization.
15 351 0.373083339811 Henry Cohn, 2025, needs more optimization.
15 352 0.373497793140 Henry Cohn, 2025, needs more optimization.
15 353 0.373952691654 Henry Cohn, 2025, needs more optimization.
15 354 0.374109721286 Henry Cohn, 2025, needs more optimization.
15 355 0.374718082451 Henry Cohn, 2025, needs more optimization.
15 356 0.374807807704 Henry Cohn, 2025, needs more optimization.
15 357 0.375272722440 Henry Cohn, 2025, needs more optimization.
15 358 0.375687935181 Henry Cohn, 2025, needs more optimization.
15 359 0.375763392365 Henry Cohn, 2025, needs more optimization.
15 360 0.376271306801 Henry Cohn, 2025, needs more optimization.
15 361 0.376727437494 Henry Cohn, 2025, needs more optimization.
15 362 0.377226818319 Henry Cohn, 2025, needs more optimization.
15 363 0.377307207779 Henry Cohn, 2025, needs more optimization.
15 364 0.377429110810 Henry Cohn, 2025, needs more optimization.
15 365 0.377931376725 Henry Cohn, 2025, needs more optimization.
15 366 0.377993043667 Henry Cohn, 2025, needs more optimization.
15 367 0.378571033439 Henry Cohn, 2025, needs more optimization.
15 368 0.378930650356 Henry Cohn, 2025, needs more optimization.
15 369 0.379004202262 Henry Cohn, 2025, needs more optimization.
15 370 0.379545067773 Henry Cohn, 2025, needs more optimization.
15 371 0.379841144338 Henry Cohn, 2025, needs more optimization.
15 372 0.380246462374 Henry Cohn, 2025, needs more optimization.
15 373 0.380301570204 Henry Cohn, 2025, needs more optimization.
15 374 0.380814560546 Henry Cohn, 2025, needs more optimization.
15 375 0.380833080254 Henry Cohn, 2025, needs more optimization.
15 376 0.381293320284 Henry Cohn, 2025, needs more optimization.
15 377 0.381363546033 Henry Cohn, 2025, needs more optimization.
15 378 0.381820090607 Henry Cohn, 2025, needs more optimization.
15 379 0.382009980435 Henry Cohn, 2025, needs more optimization.
15 380 0.382424408120 Henry Cohn, 2025, needs more optimization.
15 381 0.382492955814 Henry Cohn, 2025, needs more optimization.
15 382 0.382970809317 Henry Cohn, 2025, needs more optimization.
15 383 0.383009871031 Henry Cohn, 2025, needs more optimization.
15 384 0.383375547166 Henry Cohn, 2025, needs more optimization.
15 385 0.383474939153 Henry Cohn, 2025, needs more optimization.
15 386 0.383685910134 Henry Cohn, 2025, needs more optimization.
15 387 0.384221033869 Henry Cohn, 2025, needs more optimization.
15 388 0.384331749356 Henry Cohn, 2025, needs more optimization.
15 389 0.384420108204 Henry Cohn, 2025, needs more optimization.
15 390 0.384918541898 Henry Cohn, 2025, needs more optimization.
15 391 0.385499000309 Henry Cohn, 2025, needs more optimization.
15 392 0.385604267372 Henry Cohn, 2025, needs more optimization.
15 393 0.385697573797 Henry Cohn, 2025, needs more optimization.
15 394 0.385984331138 Henry Cohn, 2025, needs more optimization.
15 395 0.386225226866 Henry Cohn, 2025, needs more optimization.
15 396 0.386618130105 Henry Cohn, 2025, needs more optimization.
15 397 0.387119336130 Henry Cohn, 2025, needs more optimization.
15 398 0.387172791615 Henry Cohn, 2025, needs more optimization.
15 399 0.387606636643 Henry Cohn, 2025, needs more optimization.
15 400 0.387886554763 Henry Cohn, 2025, needs more optimization.
15 401 0.387893813645 Henry Cohn, 2025, needs more optimization.
15 402 0.388339855674 Henry Cohn, 2025, needs more optimization.
15 403 0.388757758623 Henry Cohn, 2025, needs more optimization.
15 404 0.388762229801 Henry Cohn, 2025, needs more optimization.
15 405 0.388934005634 Henry Cohn, 2025, needs more optimization.
15 406 0.389268447760 Henry Cohn, 2025, needs more optimization.
15 407 0.389817861267 Henry Cohn, 2025, needs more optimization.
15 408 0.389823096834 Henry Cohn, 2025, needs more optimization.
15 409 0.390093941582 Henry Cohn, 2025, needs more optimization.
15 410 0.390221832356 Henry Cohn, 2025, needs more optimization.
15 411 0.390426269235 Henry Cohn, 2025, needs more optimization.
15 412 0.390749867913 Henry Cohn, 2025, needs more optimization.
15 413 0.391420636625 Henry Cohn, 2025, needs more optimization.
15 414 0.391454415784 Henry Cohn, 2025, needs more optimization.
15 415 0.391485022748 Henry Cohn, 2025, needs more optimization.
15 416 0.391905406208 Henry Cohn, 2025, needs more optimization.
15 418 0.391907845730 Henry Cohn, 2025, needs more optimization.
15 421 0.391912814386 Henry Cohn, 2025, needs more optimization.
15 422 0.391913812235 Henry Cohn, 2025, needs more optimization.
15 431 0.391915123600 Henry Cohn, 2025, needs more optimization.
15 433 0.391919707340 Henry Cohn, 2025, needs more optimization.
15 434 0.391934126987 Henry Cohn, 2025, needs more optimization.
15 436 0.392033475186 Henry Cohn, 2025, needs more optimization.
15 437 0.392047514949 Henry Cohn, 2025, needs more optimization.
15 439 0.392056676974 Henry Cohn, 2025, needs more optimization.
15 441 0.392083421581 Henry Cohn, 2025, needs more optimization.
15 442 0.392101868555 Henry Cohn, 2025, needs more optimization.
15 444 0.392124497418 Henry Cohn, 2025, needs more optimization.
15 445 0.392165200037 Henry Cohn, 2025, needs more optimization.
15 448 0.392247472041 Henry Cohn, 2025, needs more optimization.
15 449 0.392599608945 Henry Cohn, 2025, 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
15 990 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
15 994 0.454739871636 Henry Cohn, 2025, needs more optimization.
15 1000 0.454741908911 Henry Cohn, 2025, needs more optimization.
15 1001 0.454785792331 Henry Cohn, 2025, needs more optimization.
15 1002 0.454797993546 Henry Cohn, 2025, needs more optimization.
15 1004 0.454802762084 Henry Cohn, 2025, needs more optimization.
15 1006 0.454809609143 Henry Cohn, 2025, needs more optimization.
15 1008 0.454829023122 Henry Cohn, 2025, needs more optimization.
15 1010 0.454831522567 Henry Cohn, 2025, needs more optimization.
15 1011 0.454896517463 Henry Cohn, 2025, needs more optimization.
15 1012 0.454901234804 Henry Cohn, 2025, needs more optimization.
15 1013 0.454909632347 Henry Cohn, 2025, needs more optimization.
15 1017 0.454918331317 Henry Cohn, 2025, needs more optimization.
15 1018 0.454923437843 Henry Cohn, 2025, needs more optimization.
15 1020 0.454936066767 Henry Cohn, 2025, needs more optimization.
15 1021 0.455002127733 Henry Cohn, 2025, needs more optimization.
15 1022 0.455043098793 Henry Cohn, 2025, needs more optimization.
15 1023 0.455059205738 Henry Cohn, 2025, needs more optimization.
15 1024 0.455176280952 Henry Cohn, 2025, 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, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
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 0.074295233058 Henry Cohn, 2025.
16 40 0.077433436468 Henry Cohn, 2024.
16 41 0.078328485376 Henry Cohn, 2023.
16 42 0.085144522790 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 0.095441661739 Henry Cohn, 2025.
16 47 0.097482831560 Henry Cohn, 2025.
16 48 0.098771717854 Henry Cohn, 2023.
143⁢x2−4⁢x−1
16 49 0.105637615322 Henry Cohn, 2025.
16 50 0.110920705171 Henry Cohn, 2024.
16 51 0.111318830468 Henry Cohn, 2025.
16 52 0.111575551929 Henry Cohn, 2025.
16 54 0.112912613537 Orthogonal union of 52 points in 15 dimensions and 2 points in 1 dimension.
167⁢x2−10⁢x−1
16 55 0.115467707901 Henry Cohn, 2023, needs more optimization.
16 56 0.115468209680 Henry Cohn, 2025.
16 57 0.115468610515 Henry Cohn, 2025.
16 58 0.115469159083 Henry Cohn, 2023, needs more optimization.
16 59 0.115469803431 Henry Cohn, 2023, needs more optimization.
16 60 0.115472406484 Henry Cohn, 2024, 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 0.142415975160 Henry Cohn, 2025, needs more optimization.
16 76 0.157616857308 Henry Cohn, 2025.
16 77 0.162143681909 Henry Cohn, 2024, needs more optimization.
16 78 0.168222861905 Henry Cohn, 2025, needs more optimization.
16 79 0.168276245757 Henry Cohn, 2025, needs more optimization.
16 80 0.168424143678 Henry Cohn, 2025, needs more optimization.
16 82 0.168513305818 Henry Cohn, 2025, needs more optimization.
16 94 0.168685175113 Code with 92 points in 15 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.
47⁢x2−2⁢x−1
16 95 0.169354117862 Henry Cohn, 2025, needs more optimization.
16 96 0.189202859399 Henry Cohn, 2025, needs more optimization.
16 97 0.189302682619 Henry Cohn, 2025, needs more optimization.
16 98 0.189310432038 Henry Cohn, 2025, needs more optimization.
16 99 0.189325675790 Henry Cohn, 2025, needs more optimization.
16 101 0.189619686422 Henry Cohn, 2025, needs more optimization.
16 102 0.190543089572 Henry Cohn, 2025, needs more optimization.
16 103 0.191704119993 Henry Cohn, 2025, needs more optimization.
16 104 0.197997955377 Henry Cohn, 2025, needs more optimization.
16 105 0.198562334334 Henry Cohn, 2025, needs more optimization.
16 106 0.198780021314 Henry Cohn, 2025, needs more optimization.
16 107 0.199010238810 Henry Cohn, 2025, needs more optimization.
16 108 0.199209733138 Henry Cohn, 2025, needs more optimization.
16 109 0.199678229691 Henry Cohn, 2025, needs more optimization.
16 110 0.199751556124 Henry Cohn, 2025, needs more optimization.
16 111 0.199785991419 Henry Cohn, 2025, needs more optimization.
16 112 0.199816873866 Henry Cohn, 2025, needs more optimization.
16 113 0.199822663294 Henry Cohn, 2025, needs more optimization.
16 114 0.199843598228 Henry Cohn, 2025, needs more optimization.
16 116 0.199990812547 Henry Cohn, 2025, needs more optimization.
16 117 0.199991934707 Henry Cohn, 2025, needs more optimization.
16 118 0.199994737121 Henry Cohn, 2025, needs more optimization.
16 130 0.2 Code with 128 points in 15 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
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
16 161 0.221862147620 Henry Cohn, 2025, needs more optimization.
16 162 0.232112393500 Henry Cohn, 2025, needs more optimization.
16 163 0.248484512291 Henry Cohn, 2025, needs more optimization.
16 164 0.248515969279 Henry Cohn, 2025, needs more optimization.
16 165 0.248708626978 Henry Cohn, 2025, needs more optimization.
16 166 0.248729147772 Henry Cohn, 2025, needs more optimization.
16 167 0.249264835943 Henry Cohn, 2025, needs more optimization.
16 168 0.249373442700 Henry Cohn, 2025, needs more optimization.
16 169 0.249408143023 Henry Cohn, 2025, needs more optimization.
16 170 0.249504336138 Henry Cohn, 2025, 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 0.320564491600 Henry Cohn, 2025, needs more optimization.
16 290 0.320753756812 Henry Cohn, 2025, needs more optimization.
16 291 0.321064670161 Henry Cohn, 2025, needs more optimization.
16 292 0.321857463106 Henry Cohn, 2025, needs more optimization.
16 293 0.321928918734 Henry Cohn, 2025, needs more optimization.
16 294 0.322013163735 Henry Cohn, 2025, needs more optimization.
16 295 0.323013697668 Henry Cohn, 2025, needs more optimization.
16 296 0.323424959571 Henry Cohn, 2025, needs more optimization.
16 297 0.323530077746 Henry Cohn, 2025, needs more optimization.
16 298 0.323837737466 Henry Cohn, 2025, needs more optimization.
16 299 0.325004626985 Henry Cohn, 2025, needs more optimization.
16 300 0.325222483030 Henry Cohn, 2025, needs more optimization.
16 301 0.325489779187 Henry Cohn, 2025, needs more optimization.
16 302 0.325738987164 Henry Cohn, 2025, needs more optimization.
16 303 0.326889184587 Henry Cohn, 2025, needs more optimization.
16 512 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
16 513 0.391899630247 Henry Cohn, 2025, needs more optimization.
16 514 0.391925212957 Henry Cohn, 2025, needs more optimization.
16 515 0.392191845166 Henry Cohn, 2025, needs more optimization.
16 516 0.392606973946 Henry Cohn, 2025, needs more optimization.
16 517 0.392634267266 Henry Cohn, 2025, needs more optimization.
16 518 0.392735445934 Henry Cohn, 2025, needs more optimization.
16 519 0.392822032060 Henry Cohn, 2025, needs more optimization.
16 520 0.392909029924 Henry Cohn, 2025, needs more optimization.
16 521 0.393133536522 Henry Cohn, 2025, needs more optimization.
16 522 0.393639694745 Henry Cohn, 2025, needs more optimization.
16 523 0.393642909640 Henry Cohn, 2025, needs more optimization.
16 524 0.394014397796 Henry Cohn, 2025, needs more optimization.
16 525 0.394049528794 Henry Cohn, 2025, needs more optimization.
16 526 0.394349206845 Henry Cohn, 2025, needs more optimization.
16 527 0.394364961294 Henry Cohn, 2025, needs more optimization.
16 528 0.394449302778 Henry Cohn, 2025, needs more optimization.
16 529 0.394958608180 Henry Cohn, 2025, needs more optimization.
16 530 0.394973218996 Henry Cohn, 2025, needs more optimization.
16 531 0.395372694593 Henry Cohn, 2025, needs more optimization.
16 532 0.395560759345 Henry Cohn, 2025, needs more optimization.
16 533 0.395877202333 Henry Cohn, 2025, needs more optimization.
16 534 0.395989958872 Henry Cohn, 2025, needs more optimization.
16 535 0.396179253539 Henry Cohn, 2025, needs more optimization.
16 536 0.396340245272 Henry Cohn, 2025, needs more optimization.
16 537 0.396383621089 Henry Cohn, 2025, needs more optimization.
16 538 0.396684273329 Henry Cohn, 2025, needs more optimization.
16 539 0.396720178535 Henry Cohn, 2025, needs more optimization.
16 540 0.397325722877 Henry Cohn, 2025, needs more optimization.
16 541 0.397369983799 Henry Cohn, 2025, needs more optimization.
16 542 0.397417287827 Henry Cohn, 2025, needs more optimization.
16 543 0.397723953586 Henry Cohn, 2025, needs more optimization.
16 544 0.397781936227 Henry Cohn, 2025, needs more optimization.
16 545 0.398404617655 Henry Cohn, 2025, needs more optimization.
16 546 0.398405841058 Henry Cohn, 2025, needs more optimization.
16 547 0.398553798594 Henry Cohn, 2025, needs more optimization.
16 548 0.398575358954 Henry Cohn, 2025, 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
16 992 0.428571428572 Orthogonal union of 990 points in 15 dimensions and 2 points in 1 dimension.
7⁢x−3
16 993 0.445234754457 Henry Cohn, 2025, needs more optimization.
16 994 0.445248503232 Henry Cohn, 2025, needs more optimization.
16 995 0.445253178946 Henry Cohn, 2025, needs more optimization.
16 996 0.445266855858 Henry Cohn, 2025, needs more optimization.
16 997 0.445334200608 Henry Cohn, 2025, needs more optimization.
16 1000 0.445383162920 Henry Cohn, 2025, needs more optimization.
16 1002 0.445392134716 Henry Cohn, 2025, needs more optimization.
16 1003 0.445403153152 Henry Cohn, 2025, needs more optimization.
16 1005 0.445431855566 Henry Cohn, 2025, needs more optimization.
16 1006 0.445437414370 Henry Cohn, 2025, needs more optimization.
16 1007 0.445445108847 Henry Cohn, 2025, needs more optimization.
16 1008 0.445474690690 Henry Cohn, 2025, needs more optimization.
16 1009 0.445525971060 Henry Cohn, 2025, needs more optimization.
16 1010 0.445541403539 Henry Cohn, 2025, needs more optimization.
16 1014 0.445854739395 Henry Cohn, 2025, needs more optimization.
16 1016 0.445863112979 Henry Cohn, 2025, needs more optimization.
16 1017 0.445935123394 Henry Cohn, 2025, needs more optimization.
16 1019 0.445961891107 Henry Cohn, 2025, needs more optimization.
16 1020 0.446176495079 Henry Cohn, 2025, needs more optimization.
16 1021 0.446438793368 Henry Cohn, 2025, needs more optimization.
16 1022 0.454936066767 Orthogonal union of 1020 points in 15 dimensions and 2 points in 1 dimension.
16 1023 0.454962579363 Henry Cohn, 2025, needs more optimization.
16 1024 0.455043098793 Orthogonal union of 1022 points in 15 dimensions and 2 points in 1 dimension.
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 0.055979110344 Henry Cohn, 2025.
17 38 0.055983875693 Henry Cohn, 2025.
17 39 0.062879614874 Henry Cohn, 2024.
17 40 0.064972486881 Henry Cohn, 2024.
17 41 0.070153821556 Henry Cohn, 2025.
17 42 0.073342095231 Henry Cohn, 2023.
17 45 0.073591871415 Henry Cohn, 2023.
239⁢x2−4⁢x−1
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 54 0.107200465762 Henry Cohn, 2025.
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 0.126725363107 Henry Cohn, 2025, needs more optimization.
17 76 0.127284656799 Orthogonal union of 74 points in 16 dimensions and 2 points in 1 dimension.
156⁢x2−12⁢x−1
17 77 0.127303652500 Henry Cohn, 2025, needs more optimization.
17 78 0.135261813761 Henry Cohn, 2024, needs more optimization.
17 79 0.143915449445 Henry Cohn, 2024, needs more optimization.
17 80 0.148084979684 Henry Cohn, 2025, needs more optimization.
17 81 0.152547937502 Henry Cohn, 2024, needs more optimization.
17 82 0.156637488532 Henry Cohn, 2025, needs more optimization.
17 83 0.160388172055 Henry Cohn, 2024, needs more optimization.
17 84 0.164615001224 Henry Cohn, 2025, needs more optimization.
17 85 0.165041874859 Henry Cohn, 2025, needs more optimization.
17 87 0.165516079773 Henry Cohn, 2025, needs more optimization.
17 88 0.166755483203 Henry Cohn, 2025, needs more optimization.
17 89 0.166992615606 Henry Cohn, 2025, needs more optimization.
17 90 0.167299607269 Henry Cohn, 2025, needs more optimization.
17 91 0.167387859022 Henry Cohn, 2025, needs more optimization.
17 92 0.168052406696 Henry Cohn, 2025, needs more optimization.
17 93 0.168400604341 Henry Cohn, 2025, needs more optimization.
17 94 0.168430819672 Henry Cohn, 2025, needs more optimization.
17 95 0.168495669781 Henry Cohn, 2024, needs more optimization.
17 96 0.168496565189 Henry Cohn, 2025, needs more optimization.
17 97 0.168674900656 Henry Cohn, 2025, needs more optimization.
17 98 0.182637514245 Henry Cohn, 2025, needs more optimization.
17 99 0.183366311767 Henry Cohn, 2025, needs more optimization.
17 100 0.183589304498 Henry Cohn, 2025, needs more optimization.
17 101 0.184741598579 Henry Cohn, 2025, needs more optimization.
17 102 0.185650105605 Henry Cohn, 2025, needs more optimization.
17 103 0.186249130629 Henry Cohn, 2025, needs more optimization.
17 104 0.186611163365 Henry Cohn, 2025, needs more optimization.
17 105 0.187835536429 Henry Cohn, 2025, needs more optimization.
17 106 0.188497313975 Henry Cohn, 2025, needs more optimization.
17 107 0.188558125571 Henry Cohn, 2025, needs more optimization.
17 108 0.189625625203 Henry Cohn, 2025, needs more optimization.
17 109 0.189840920126 Henry Cohn, 2025, needs more optimization.
17 110 0.190882013800 Henry Cohn, 2025, needs more optimization.
17 111 0.192835653363 Henry Cohn, 2025, needs more optimization.
17 112 0.193294349559 Henry Cohn, 2025, needs more optimization.
17 113 0.193362683309 Henry Cohn, 2025, needs more optimization.
17 114 0.193887249508 Henry Cohn, 2025, needs more optimization.
17 115 0.196726663962 Henry Cohn, 2025, needs more optimization.
17 116 0.196778137245 Henry Cohn, 2025, needs more optimization.
17 117 0.196785678993 Henry Cohn, 2025, needs more optimization.
17 118 0.196803191441 Henry Cohn, 2025, needs more optimization.
17 119 0.196855764607 Henry Cohn, 2025, needs more optimization.
17 120 0.196881938495 Henry Cohn, 2025, needs more optimization.
17 121 0.196891266402 Henry Cohn, 2025, needs more optimization.
17 122 0.196909290891 Henry Cohn, 2025, needs more optimization.
17 123 0.196931728622 Henry Cohn, 2025, needs more optimization.
17 124 0.197117815500 Henry Cohn, 2025, needs more optimization.
17 125 0.197289679583 Henry Cohn, 2025, needs more optimization.
17 126 0.197448660398 Henry Cohn, 2025, needs more optimization.
17 127 0.197638499999 Henry Cohn, 2025, needs more optimization.
17 128 0.198766438852 Henry Cohn, 2025, needs more optimization.
17 129 0.199375687756 Henry Cohn, 2025, needs more optimization.
17 130 0.199547536863 Henry Cohn, 2025, needs more optimization.
17 131 0.199694257491 Henry Cohn, 2025, needs more optimization.
17 132 0.199979258638 Henry Cohn, 2024, 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 0.202916257486 Henry Cohn, 2025, needs more optimization.
17 163 0.203057639163 Henry Cohn, 2025, needs more optimization.
17 165 0.213732104729 Henry Cohn, 2025, needs more optimization.
17 166 0.214646019906 Henry Cohn, 2025, needs more optimization.
17 167 0.218192256246 Henry Cohn, 2025, needs more optimization.
17 168 0.239256659212 Henry Cohn, 2025, needs more optimization.
17 169 0.240413443845 Henry Cohn, 2025, needs more optimization.
17 170 0.241094599926 Henry Cohn, 2025, needs more optimization.
17 171 0.249383677769 Henry Cohn, 2025, needs more optimization.
17 172 0.249426233239 Henry Cohn, 2025, needs more optimization.
17 290 0.25 Code with 288 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.
4⁢x−1
17 313 0.261209305000 Henry Cohn, 2025, needs more optimization.
17 314 0.261209314511 Henry Cohn, 2025, needs more optimization.
17 315 0.261209614530 Henry Cohn, 2025, needs more optimization.
17 320 0.274085377664 Henry Cohn, 2025, needs more optimization.
17 321 0.284194766731 Henry Cohn, 2025, needs more optimization.
17 324 0.296833913622 Henry Cohn, 2025, needs more optimization.
17 325 0.304271227454 Henry Cohn, 2025, needs more optimization.
17 327 0.304333031521 Henry Cohn, 2025, needs more optimization.
17 338 0.304724687167 Henry Cohn, 2025, needs more optimization.
17 339 0.304931511206 Henry Cohn, 2025, needs more optimization.
17 340 0.313321321450 Henry Cohn, 2025, needs more optimization.
17 341 0.313409353653 Henry Cohn, 2025, needs more optimization.
17 342 0.313508014759 Henry Cohn, 2025, needs more optimization.
17 343 0.314841630605 Henry Cohn, 2025, needs more optimization.
17 344 0.314948223319 Henry Cohn, 2025, needs more optimization.
17 345 0.316057921637 Henry Cohn, 2025, needs more optimization.
17 346 0.316318619200 Henry Cohn, 2025, needs more optimization.
17 347 0.317386617887 Henry Cohn, 2025, needs more optimization.
17 348 0.317427213974 Henry Cohn, 2025, needs more optimization.
17 350 0.318696716877 Henry Cohn, 2025, needs more optimization.
17 351 0.318913604018 Henry Cohn, 2025, needs more optimization.
17 353 0.320358004020 Henry Cohn, 2025, needs more optimization.
17 354 0.322921276049 Henry Cohn, 2025, needs more optimization.
17 355 0.323247301302 Henry Cohn, 2025, needs more optimization.
17 356 0.324660531939 Henry Cohn, 2025, needs more optimization.
17 357 0.324674347760 Henry Cohn, 2025, needs more optimization.
17 358 0.324677522206 Henry Cohn, 2025, needs more optimization.
17 359 0.325570396391 Henry Cohn, 2025, needs more optimization.
17 360 0.325698756514 Henry Cohn, 2025, needs more optimization.
17 361 0.326299331409 Henry Cohn, 2025, needs more optimization.
17 362 0.326419782843 Henry Cohn, 2025, needs more optimization.
17 363 0.327637650222 Henry Cohn, 2025, needs more optimization.
17 365 0.327661166414 Henry Cohn, 2025, needs more optimization.
17 366 0.328605574205 Henry Cohn, 2025, needs more optimization.
17 367 0.329725269071 Henry Cohn, 2025, needs more optimization.
17 368 0.330434375199 Henry Cohn, 2025, 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
17 553 0.347369928900 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
639⁢x2−150⁢x−25
17 554 0.380115950370 Henry Cohn, 2025, needs more optimization.
17 555 0.380483041860 Henry Cohn, 2025, needs more optimization.
17 556 0.380491416571 Henry Cohn, 2025, needs more optimization.
17 557 0.380820531863 Henry Cohn, 2025, needs more optimization.
17 558 0.380856720817 Henry Cohn, 2025, needs more optimization.
17 559 0.380937167668 Henry Cohn, 2025, needs more optimization.
17 560 0.381022837172 Henry Cohn, 2025, needs more optimization.
17 561 0.381644678392 Henry Cohn, 2025, needs more optimization.
17 562 0.381661449680 Henry Cohn, 2025, needs more optimization.
17 563 0.381769459261 Henry Cohn, 2025, needs more optimization.
17 564 0.381801718597 Henry Cohn, 2025, needs more optimization.
17 565 0.382027745502 Henry Cohn, 2025, needs more optimization.
17 566 0.382116681371 Henry Cohn, 2025, needs more optimization.
17 567 0.382356475865 Henry Cohn, 2025, needs more optimization.
17 568 0.382393906387 Henry Cohn, 2025, needs more optimization.
17 569 0.382431310971 Henry Cohn, 2025, needs more optimization.
17 570 0.382861002156 Henry Cohn, 2025, needs more optimization.
17 571 0.382976318111 Henry Cohn, 2025, needs more optimization.
17 572 0.383013535821 Henry Cohn, 2025, needs more optimization.
17 573 0.383298941611 Henry Cohn, 2025, needs more optimization.
17 574 0.383309998502 Henry Cohn, 2025, needs more optimization.
17 575 0.383757164793 Henry Cohn, 2025, needs more optimization.
17 576 0.383802791592 Henry Cohn, 2025, needs more optimization.
17 577 0.383910995763 Henry Cohn, 2025, needs more optimization.
17 578 0.383947350344 Henry Cohn, 2025, needs more optimization.
17 579 0.384386751984 Henry Cohn, 2025, needs more optimization.
17 580 0.384495078449 Henry Cohn, 2025, needs more optimization.
17 581 0.384499164779 Henry Cohn, 2025, needs more optimization.
17 582 0.384685553512 Henry Cohn, 2025, needs more optimization.
17 583 0.384901400690 Henry Cohn, 2025, needs more optimization.
17 584 0.384954789714 Henry Cohn, 2025, needs more optimization.
17 585 0.384966903624 Henry Cohn, 2025, needs more optimization.
17 586 0.385539098190 Henry Cohn, 2025, needs more optimization.
17 587 0.385541637903 Henry Cohn, 2025, needs more optimization.
17 588 0.385570020669 Henry Cohn, 2025, needs more optimization.
17 589 0.385951190150 Henry Cohn, 2025, needs more optimization.
17 590 0.386012719959 Henry Cohn, 2025, needs more optimization.
17 591 0.386020831990 Henry Cohn, 2025, needs more optimization.
17 592 0.386574178385 Henry Cohn, 2025, needs more optimization.
17 593 0.386655880734 Henry Cohn, 2025, needs more optimization.
17 594 0.386664779495 Henry Cohn, 2025, needs more optimization.
17 595 0.386764215489 Henry Cohn, 2025, needs more optimization.
17 596 0.387217541660 Henry Cohn, 2025, needs more optimization.
17 597 0.387277927498 Henry Cohn, 2025, needs more optimization.
17 598 0.387348389025 Henry Cohn, 2025, needs more optimization.
17 599 0.387399697539 Henry Cohn, 2025, needs more optimization.
17 600 0.387682011434 Henry Cohn, 2025, needs more optimization.
17 601 0.387717207601 Henry Cohn, 2025, needs more optimization.
17 602 0.387903020169 Henry Cohn, 2025, needs more optimization.
17 603 0.388274213435 Henry Cohn, 2025, needs more optimization.
17 604 0.388281252958 Henry Cohn, 2025, needs more optimization.
17 605 0.388352213522 Henry Cohn, 2025, needs more optimization.
17 606 0.388634596757 Henry Cohn, 2025, needs more optimization.
17 607 0.388865235140 Henry Cohn, 2025, needs more optimization.
17 608 0.388904427946 Henry Cohn, 2025, needs more optimization.
17 609 0.389131916372 Henry Cohn, 2025, needs more optimization.
17 610 0.389148122644 Henry Cohn, 2025, needs more optimization.
17 611 0.389517822003 Henry Cohn, 2025, needs more optimization.
17 612 0.389552944716 Henry Cohn, 2025, needs more optimization.
17 613 0.389589334878 Henry Cohn, 2025, needs more optimization.
17 614 0.389853435854 Henry Cohn, 2025, needs more optimization.
17 615 0.389911542351 Henry Cohn, 2025, needs more optimization.
17 616 0.390356068266 Henry Cohn, 2025, needs more optimization.
17 617 0.390365724717 Henry Cohn, 2025, needs more optimization.
17 619 0.390490728552 Henry Cohn, 2025, needs more optimization.
17 620 0.390699889018 Henry Cohn, 2025, needs more optimization.
17 621 0.390847575705 Henry Cohn, 2025, needs more optimization.
17 622 0.390854223963 Henry Cohn, 2025, needs more optimization.
17 623 0.391340181915 Henry Cohn, 2025, needs more optimization.
17 625 0.391369691785 Henry Cohn, 2025, needs more optimization.
17 626 0.391433589471 Henry Cohn, 2025, needs more optimization.
17 628 0.391878103269 Henry Cohn, 2025, needs more optimization.
17 629 0.391929328039 Henry Cohn, 2025, needs more optimization.
17 630 0.392005373070 Henry Cohn, 2025, needs more optimization.
17 631 0.392605304895 Henry Cohn, 2025, needs more optimization.
17 632 0.392633289680 Henry Cohn, 2025, needs more optimization.
17 633 0.392644325274 Henry Cohn, 2025, needs more optimization.
17 634 0.392992152076 Henry Cohn, 2025, needs more optimization.
17 635 0.393018103881 Henry Cohn, 2025, needs more optimization.
17 636 0.393043735511 Henry Cohn, 2025, needs more optimization.
17 637 0.393225216195 Henry Cohn, 2025, needs more optimization.
17 638 0.393596654379 Henry Cohn, 2025, needs more optimization.
17 639 0.393615961966 Henry Cohn, 2025, needs more optimization.
17 641 0.393861933375 Henry Cohn, 2025, needs more optimization.
17 642 0.394167828130 Henry Cohn, 2025, needs more optimization.
17 643 0.394250795823 Henry Cohn, 2025, needs more optimization.
17 644 0.394339500720 Henry Cohn, 2025, needs more optimization.
17 645 0.394394474459 Henry Cohn, 2025, needs more optimization.
17 646 0.394733161798 Henry Cohn, 2025, needs more optimization.
17 647 0.394865721173 Henry Cohn, 2025, needs more optimization.
17 648 0.394890498339 Henry Cohn, 2025, needs more optimization.
17 649 0.395123931732 Henry Cohn, 2025, needs more optimization.
17 650 0.395183309253 Henry Cohn, 2025, needs more optimization.
17 651 0.395207336902 Henry Cohn, 2025, needs more optimization.
17 652 0.395691152522 Henry Cohn, 2025, needs more optimization.
17 653 0.395762038762 Henry Cohn, 2025, needs more optimization.
17 654 0.395813065070 Henry Cohn, 2025, needs more optimization.
17 655 0.395835524001 Henry Cohn, 2025, needs more optimization.
17 656 0.396213274925 Henry Cohn, 2025, needs more optimization.
17 657 0.396236676884 Henry Cohn, 2025, needs more optimization.
17 658 0.396244518720 Henry Cohn, 2025, needs more optimization.
17 659 0.396394219645 Henry Cohn, 2025, needs more optimization.
17 660 0.396656097522 Henry Cohn, 2025, needs more optimization.
17 661 0.396741644621 Henry Cohn, 2025, needs more optimization.
17 662 0.396996114325 Henry Cohn, 2025, needs more optimization.
17 663 0.397022110102 Henry Cohn, 2025, needs more optimization.
17 664 0.397072134277 Henry Cohn, 2025, needs more optimization.
17 665 0.397074844999 Henry Cohn, 2025, needs more optimization.
17 666 0.397621121011 Henry Cohn, 2025, needs more optimization.
17 667 0.397922919863 Henry Cohn, 2025, needs more optimization.
17 668 0.397961236196 Henry Cohn, 2025, needs more optimization.
17 669 0.398278620136 Henry Cohn, 2025, needs more optimization.
17 670 0.398329874590 Henry Cohn, 2025, needs more optimization.
17 671 0.398536734363 Henry Cohn, 2025, needs more optimization.
17 672 0.398537114244 Henry Cohn, 2025, needs more optimization.
17 673 0.398547114794 Henry Cohn, 2025, needs more optimization.
17 674 0.398836644526 Henry Cohn, 2025, needs more optimization.
17 771 0.4 Orthogonal union of 769 points in 16 dimensions and 2 points in 1 dimension.
5⁢x−2
17 772 0.410763715014 Henry Cohn, 2025, needs more optimization.
17 773 0.411040325292 Henry Cohn, 2025, needs more optimization.
17 774 0.411082037303 Henry Cohn, 2025, needs more optimization.
17 775 0.411084956436 Henry Cohn, 2025, needs more optimization.
17 776 0.411388347760 Henry Cohn, 2025, needs more optimization.
17 777 0.411428319972 Henry Cohn, 2025, needs more optimization.
17 778 0.411481547998 Henry Cohn, 2025, needs more optimization.
17 779 0.411774744978 Henry Cohn, 2025, needs more optimization.
17 780 0.411786486839 Henry Cohn, 2025, needs more optimization.
17 781 0.411850362952 Henry Cohn, 2025, needs more optimization.
17 782 0.412065255713 Henry Cohn, 2025, needs more optimization.
17 783 0.412075730897 Henry Cohn, 2025, needs more optimization.
17 784 0.412307629886 Henry Cohn, 2025, needs more optimization.
17 785 0.412313644287 Henry Cohn, 2025, needs more optimization.
17 786 0.412408370091 Henry Cohn, 2025, needs more optimization.
17 787 0.412785425115 Henry Cohn, 2025, needs more optimization.
17 788 0.412792922303 Henry Cohn, 2025, needs more optimization.
17 789 0.412837252792 Henry Cohn, 2025, needs more optimization.
17 790 0.413139899303 Henry Cohn, 2025, needs more optimization.
17 791 0.413161576394 Henry Cohn, 2025, needs more optimization.
17 792 0.413170261688 Henry Cohn, 2025, needs more optimization.
17 793 0.413204447952 Henry Cohn, 2025, needs more optimization.
17 794 0.413528774002 Henry Cohn, 2025, needs more optimization.
17 795 0.413574430036 Henry Cohn, 2025, needs more optimization.
17 796 0.413610814591 Henry Cohn, 2025, needs more optimization.
17 797 0.413669222131 Henry Cohn, 2025, needs more optimization.
17 798 0.413793012924 Henry Cohn, 2025, needs more optimization.
17 799 0.414137970934 Henry Cohn, 2025, needs more optimization.
17 800 0.414145105466 Henry Cohn, 2025, needs more optimization.
17 801 0.414152368895 Henry Cohn, 2025, needs more optimization.
17 802 0.414200689212 Henry Cohn, 2025, needs more optimization.
17 803 0.414464466595 Henry Cohn, 2025, needs more optimization.
17 804 0.414478129677 Henry Cohn, 2025, needs more optimization.
17 805 0.414495984578 Henry Cohn, 2025, needs more optimization.
17 806 0.414845024033 Henry Cohn, 2025, needs more optimization.
17 807 0.414851426398 Henry Cohn, 2025, needs more optimization.
17 808 0.414874759561 Henry Cohn, 2025, needs more optimization.
17 809 0.414992441054 Henry Cohn, 2025, needs more optimization.
17 810 0.415036760899 Henry Cohn, 2025, needs more optimization.
17 811 0.415046825429 Henry Cohn, 2025, needs more optimization.
17 812 0.415449787050 Henry Cohn, 2025, needs more optimization.
17 813 0.415465093504 Henry Cohn, 2025, needs more optimization.
17 814 0.415504710676 Henry Cohn, 2025, needs more optimization.
17 815 0.415875048118 Henry Cohn, 2025, needs more optimization.
17 816 0.415890698661 Henry Cohn, 2025, needs more optimization.
17 817 0.415907955023 Henry Cohn, 2025, needs more optimization.
17 818 0.416099229085 Henry Cohn, 2025, needs more optimization.
17 819 0.416130794227 Henry Cohn, 2025, needs more optimization.
17 820 0.416342655389 Henry Cohn, 2025, needs more optimization.
17 821 0.416353133665 Henry Cohn, 2025, needs more optimization.
17 822 0.416637782886 Henry Cohn, 2025, needs more optimization.
17 824 0.416653780329 Henry Cohn, 2025, needs more optimization.
17 825 0.416671727325 Henry Cohn, 2025, needs more optimization.
17 826 0.416681014990 Henry Cohn, 2025, needs more optimization.
17 827 0.416908110442 Henry Cohn, 2025, needs more optimization.
17 828 0.416917255004 Henry Cohn, 2025, needs more optimization.
17 829 0.417300605071 Henry Cohn, 2025, needs more optimization.
17 830 0.417345311198 Henry Cohn, 2025, needs more optimization.
17 831 0.417405991469 Henry Cohn, 2025, needs more optimization.
17 832 0.417561080215 Henry Cohn, 2025, needs more optimization.
17 834 0.417569007479 Henry Cohn, 2025, needs more optimization.
17 835 0.417620249090 Henry Cohn, 2025, needs more optimization.
17 836 0.418059788180 Henry Cohn, 2025, needs more optimization.
17 837 0.418079431589 Henry Cohn, 2025, needs more optimization.
17 838 0.418123170403 Henry Cohn, 2025, needs more optimization.
17 839 0.418322507555 Henry Cohn, 2025, needs more optimization.
17 840 0.418328820485 Henry Cohn, 2025, needs more optimization.
17 841 0.418389792343 Henry Cohn, 2025, needs more optimization.
17 842 0.418644961834 Henry Cohn, 2025, needs more optimization.
17 843 0.418647876178 Henry Cohn, 2025, needs more optimization.
17 844 0.418657374456 Henry Cohn, 2025, needs more optimization.
17 845 0.418957287057 Henry Cohn, 2025, needs more optimization.
17 846 0.418961599044 Henry Cohn, 2025, needs more optimization.
17 847 0.419307760198 Henry Cohn, 2025, needs more optimization.
17 848 0.419467604136 Henry Cohn, 2025, needs more optimization.
17 849 0.419485178712 Henry Cohn, 2025, needs more optimization.
17 850 0.419491394476 Henry Cohn, 2025, needs more optimization.
17 851 0.419534995750 Henry Cohn, 2025, needs more optimization.
17 852 0.419793053455 Henry Cohn, 2025, needs more optimization.
17 853 0.419794119142 Henry Cohn, 2025, needs more optimization.
17 854 0.420104707196 Henry Cohn, 2025, needs more optimization.
17 855 0.420173932125 Henry Cohn, 2025, needs more optimization.
17 856 0.420206572386 Henry Cohn, 2025, needs more optimization.
17 857 0.420215461401 Henry Cohn, 2025, needs more optimization.
17 858 0.420223660267 Henry Cohn, 2025, needs more optimization.
17 859 0.420414663543 Henry Cohn, 2025, needs more optimization.
17 860 0.420444955574 Henry Cohn, 2025, needs more optimization.
17 861 0.420694111061 Henry Cohn, 2025, needs more optimization.
17 862 0.420724988241 Henry Cohn, 2025, needs more optimization.
17 863 0.420797260097 Henry Cohn, 2025, needs more optimization.
17 864 0.420808047128 Henry Cohn, 2025, needs more optimization.
17 865 0.420826129155 Henry Cohn, 2025, needs more optimization.
17 866 0.420899129272 Henry Cohn, 2025, needs more optimization.
17 867 0.421194066406 Henry Cohn, 2025, needs more optimization.
17 868 0.421201441254 Henry Cohn, 2025, needs more optimization.
17 869 0.421226830560 Henry Cohn, 2025, needs more optimization.
17 870 0.421316051486 Henry Cohn, 2025, needs more optimization.
17 871 0.421706574960 Henry Cohn, 2025, needs more optimization.
17 872 0.421741215059 Henry Cohn, 2025, needs more optimization.
17 873 0.421877057938 Henry Cohn, 2025, needs more optimization.
17 874 0.421914681374 Henry Cohn, 2025, needs more optimization.
17 875 0.422107829121 Henry Cohn, 2025, needs more optimization.
17 876 0.422269420639 Henry Cohn, 2025, needs more optimization.
17 877 0.422277481212 Henry Cohn, 2025, needs more optimization.
17 878 0.422283773870 Henry Cohn, 2025, needs more optimization.
17 879 0.422661431809 Henry Cohn, 2025, needs more optimization.
17 881 0.422672563066 Henry Cohn, 2025, needs more optimization.
17 882 0.422678059336 Henry Cohn, 2025, needs more optimization.
17 883 0.422712133944 Henry Cohn, 2025, needs more optimization.
17 884 0.422828981913 Henry Cohn, 2025, needs more optimization.
17 885 0.422882244676 Henry Cohn, 2025, needs more optimization.
17 886 0.423216655541 Henry Cohn, 2025, needs more optimization.
17 887 0.423256629307 Henry Cohn, 2025, needs more optimization.
17 888 0.423276178602 Henry Cohn, 2025, needs more optimization.
17 889 0.423303631557 Henry Cohn, 2025, needs more optimization.
17 890 0.423312536334 Henry Cohn, 2025, needs more optimization.
17 891 0.423466479008 Henry Cohn, 2025, needs more optimization.
17 892 0.423686084542 Henry Cohn, 2025, needs more optimization.
17 894 0.423753656024 Henry Cohn, 2025, needs more optimization.
17 895 0.423980219720 Henry Cohn, 2025, needs more optimization.
17 896 0.423984006802 Henry Cohn, 2025, needs more optimization.
17 897 0.423997831890 Henry Cohn, 2025, needs more optimization.
17 898 0.424172832392 Henry Cohn, 2025, needs more optimization.
17 899 0.424177966744 Henry Cohn, 2025, needs more optimization.
17 900 0.424181356307 Henry Cohn, 2025, needs more optimization.
17 901 0.424483312926 Henry Cohn, 2025, needs more optimization.
17 902 0.424498392033 Henry Cohn, 2025, needs more optimization.
17 903 0.424630247853 Henry Cohn, 2025, needs more optimization.
17 905 0.424884184079 Henry Cohn, 2025, needs more optimization.
17 906 0.424940831867 Henry Cohn, 2025, needs more optimization.
17 907 0.425084985086 Henry Cohn, 2025, needs more optimization.
17 908 0.425224416118 Henry Cohn, 2025, needs more optimization.
17 909 0.425245289353 Henry Cohn, 2025, needs more optimization.
17 910 0.425250276918 Henry Cohn, 2025, needs more optimization.
17 911 0.425562235092 Henry Cohn, 2025, needs more optimization.
17 912 0.425572090298 Henry Cohn, 2025, needs more optimization.
17 913 0.425618586570 Henry Cohn, 2025, needs more optimization.
17 914 0.425942743101 Henry Cohn, 2025, needs more optimization.
17 916 0.425979256369 Henry Cohn, 2025, needs more optimization.
17 917 0.426251984430 Henry Cohn, 2025, needs more optimization.
17 918 0.426257386877 Henry Cohn, 2025, needs more optimization.
17 919 0.426325470151 Henry Cohn, 2025, needs more optimization.
17 921 0.426542636183 Henry Cohn, 2025, needs more optimization.
17 922 0.426721743357 Henry Cohn, 2025, needs more optimization.
17 924 0.426831376293 Henry Cohn, 2025, needs more optimization.
17 925 0.426874837261 Henry Cohn, 2025, needs more optimization.
17 926 0.427237733863 Henry Cohn, 2025, needs more optimization.
17 927 0.427288477057 Henry Cohn, 2025, needs more optimization.
17 928 0.427295232683 Henry Cohn, 2025, needs more optimization.
17 929 0.427302674882 Henry Cohn, 2025, needs more optimization.
17 995 0.428571428572 Orthogonal union of 990 points in 15 dimensions and 5 points in 2 dimensions.
7⁢x−3
17 996 0.433211181131 Henry Cohn, 2025, needs more optimization.
17 997 0.433218491219 Henry Cohn, 2025, needs more optimization.
17 998 0.433228052818 Henry Cohn, 2025, needs more optimization.
17 999 0.433410436700 Henry Cohn, 2025, needs more optimization.
17 1000 0.433446347824 Henry Cohn, 2025, needs more optimization.
17 1001 0.433643968738 Henry Cohn, 2025, needs more optimization.
17 1002 0.433652372978 Henry Cohn, 2025, needs more optimization.
17 1003 0.433669241455 Henry Cohn, 2025, needs more optimization.
17 1004 0.433885425970 Henry Cohn, 2025, needs more optimization.
17 1005 0.433896015709 Henry Cohn, 2025, needs more optimization.
17 1008 0.434270227405 Henry Cohn, 2025, needs more optimization.
17 1009 0.434287745791 Henry Cohn, 2025, needs more optimization.
17 1010 0.434294524288 Henry Cohn, 2025, needs more optimization.
17 1011 0.434601913762 Henry Cohn, 2025, needs more optimization.
17 1012 0.434663462017 Henry Cohn, 2025, needs more optimization.
17 1013 0.434672590833 Henry Cohn, 2025, needs more optimization.
17 1014 0.434692603358 Henry Cohn, 2025, needs more optimization.
17 1015 0.434770532375 Henry Cohn, 2025, needs more optimization.
17 1016 0.435125329666 Henry Cohn, 2025, needs more optimization.
17 1017 0.435129907979 Henry Cohn, 2025, needs more optimization.
17 1019 0.435200225145 Henry Cohn, 2025, needs more optimization.
17 1020 0.435276904902 Henry Cohn, 2025, needs more optimization.
17 1021 0.435505233775 Henry Cohn, 2025, needs more optimization.
17 1022 0.435506281631 Henry Cohn, 2025, needs more optimization.
17 1023 0.435532641235 Henry Cohn, 2025, needs more optimization.
17 1024 0.435787643415 Henry Cohn, 2025, needs more optimization.
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 0.055496642883 Henry Cohn, 2023.
18 40 0.055678193348 Henry Cohn, 2025.
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 0.071480326622 Henry Cohn, 2023.
18 46 0.073591868295 Henry Cohn, 2025, needs more optimization.
18 47 0.073591870014 Henry Cohn, 2025, needs more optimization.
18 48 0.074706792917 Henry Cohn, 2024.
18 49 0.082857935323 Henry Cohn, 2024.
18 50 0.084341789890 Henry Cohn, 2025.
18 51 0.084342039539 Henry Cohn, 2025.
18 52 0.084342513775 Henry Cohn, 2025, needs more optimization.
18 53 0.084342571239 Henry Cohn, 2025, needs more optimization.
18 54 0.084342580847 Henry Cohn, 2025, needs more optimization.
18 55 0.091780747508 Henry Cohn, 2024.
18 58 0.096625355499 Henry Cohn, 2025, needs more optimization.
18 69 0.101456854890 Henry Cohn, 2024.
176⁢x2−8⁢x−1
18 70 0.124365606167 Henry Cohn, 2024, needs more optimization.
18 71 0.125971783536 Henry Cohn, 2025, needs more optimization.
18 72 0.126142716260 Henry Cohn, 2025, needs more optimization.
18 73 0.127231029811 Henry Cohn, 2024, needs more optimization.
18 74 0.127231034165 Henry Cohn, 2024, needs more optimization.
18 75 0.127231547545 Henry Cohn, 2024, needs more optimization.
18 76 0.127231696530 Henry Cohn, 2024, needs more optimization.
18 77 0.127231993391 Henry Cohn, 2024, needs more optimization.
18 78 0.127232067990 Henry Cohn, 2024, needs more optimization.
18 79 0.127303652500 Orthogonal union of 77 points in 17 dimensions and 2 points in 1 dimension.
18 80 0.127334008829 Henry Cohn, 2025, needs more optimization.
18 81 0.131213711408 Henry Cohn, 2025, needs more optimization.
18 83 0.132306094776 Henry Cohn, 2025, needs more optimization.
18 84 0.132840170112 Henry Cohn, 2024, needs more optimization.
18 85 0.133597162229 Henry Cohn, 2025, needs more optimization.
18 86 0.133620230107 Henry Cohn, 2025, needs more optimization.
18 87 0.133684467717 Henry Cohn, 2025, needs more optimization.
18 88 0.134690494495 Henry Cohn, 2023.
18⁢x2+5⁢x−1
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 98 0.166666666667 Kissing configuration of 192 points in 19 dimensions from T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
6⁢x−1
18 99 0.167806213718 Henry Cohn, 2025, needs more optimization.
18 100 0.171655818973 Henry Cohn, 2025, needs more optimization.
18 102 0.172667355166 Henry Cohn, 2025, needs more optimization.
18 103 0.174123462557 Henry Cohn, 2025, needs more optimization.
18 104 0.174606247320 Henry Cohn, 2025, needs more optimization.
18 106 0.175580615046 Henry Cohn, 2025, needs more optimization.
18 107 0.176085667877 Henry Cohn, 2025, needs more optimization.
18 108 0.176309079561 Henry Cohn, 2025, needs more optimization.
18 109 0.177648897952 Henry Cohn, 2025, needs more optimization.
18 110 0.177740394912 Henry Cohn, 2025, needs more optimization.
18 111 0.177971546805 Henry Cohn, 2025, needs more optimization.
18 112 0.178101056052 Henry Cohn, 2025, needs more optimization.
18 120 0.191489361703 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
47⁢x−9
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 0.199694257491 Orthogonal union of 131 points in 17 dimensions and 2 points in 1 dimension.
18 134 0.199974655603 Henry Cohn, 2024, needs more optimization.
18 144 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
18 163 0.202913709779 Orthogonal union of 159 points in 16 dimensions and 4 points in 2 dimensions.
44⁢x2−4⁢x−1
18 164 0.202916257486 Orthogonal union of 162 points in 17 dimensions and 2 points in 1 dimension.
18 166 0.202978544188 Henry Cohn, 2025, needs more optimization.
18 167 0.203096013091 Henry Cohn, 2025, needs more optimization.
18 168 0.204754914614 Henry Cohn, 2025, needs more optimization.
18 169 0.218192256246 Orthogonal union of 167 points in 17 dimensions and 2 points in 1 dimension.
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 0.240137708566 Henry Cohn, 2025, needs more optimization.
18 207 0.240348329523 Henry Cohn, 2025, needs more optimization.
18 208 0.240361365449 Henry Cohn, 2025, needs more optimization.
18 209 0.240449307636 Henry Cohn, 2025, needs more optimization.
18 210 0.240539934982 Henry Cohn, 2025, needs more optimization.
18 211 0.240548026697 Henry Cohn, 2025, needs more optimization.
18 212 0.241647908058 Henry Cohn, 2025, needs more optimization.
18 213 0.242018554419 Henry Cohn, 2025, needs more optimization.
18 214 0.242096408030 Henry Cohn, 2025, needs more optimization.
18 215 0.242195155994 Henry Cohn, 2025, needs more optimization.
18 216 0.243282226223 Henry Cohn, 2025, needs more optimization.
18 217 0.244613609329 Henry Cohn, 2025, needs more optimization.
18 218 0.244621616071 Henry Cohn, 2025, needs more optimization.
18 219 0.244629414120 Henry Cohn, 2025, needs more optimization.
18 220 0.244636146744 Henry Cohn, 2025, needs more optimization.
18 221 0.244721750552 Henry Cohn, 2025, needs more optimization.
18 222 0.244722253300 Henry Cohn, 2025, needs more optimization.
18 223 0.244771920120 Henry Cohn, 2025, needs more optimization.
18 224 0.244990731167 Henry Cohn, 2025, needs more optimization.
18 225 0.244994338844 Henry Cohn, 2025, needs more optimization.
18 226 0.245088465480 Henry Cohn, 2025, needs more optimization.
18 227 0.245295723528 Henry Cohn, 2025, needs more optimization.
18 256 0.246438838197 Henry Cohn, 2025, needs more optimization.
18 257 0.246787981720 Henry Cohn, 2025, needs more optimization.
18 260 0.247104074684 Henry Cohn, 2025, needs more optimization.
18 261 0.247128125441 Henry Cohn, 2025, needs more optimization.
18 262 0.247159741095 Henry Cohn, 2025, needs more optimization.
18 263 0.247191335203 Henry Cohn, 2025, needs more optimization.
18 264 0.247212300667 Henry Cohn, 2025, needs more optimization.
18 265 0.247289888703 Henry Cohn, 2025, needs more optimization.
18 266 0.247360813446 Henry Cohn, 2025, needs more optimization.
18 267 0.247394795521 Henry Cohn, 2025, needs more optimization.
18 268 0.247489610910 Henry Cohn, 2025, needs more optimization.
18 269 0.247492387801 Henry Cohn, 2025, needs more optimization.
18 270 0.247510978203 Henry Cohn, 2025, needs more optimization.
18 271 0.247559178316 Henry Cohn, 2025, needs more optimization.
18 272 0.247588413101 Henry Cohn, 2025, needs more optimization.
18 273 0.247601988251 Henry Cohn, 2025, needs more optimization.
18 274 0.247610943409 Henry Cohn, 2025, needs more optimization.
18 276 0.247661604596 Henry Cohn, 2025, needs more optimization.
18 277 0.247714163483 Henry Cohn, 2025, needs more optimization.
18 278 0.247740576377 Henry Cohn, 2025, needs more optimization.
18 280 0.247754588482 Henry Cohn, 2025, needs more optimization.
18 281 0.248649576371 Henry Cohn, 2025, needs more optimization.
18 286 0.248865773291 Henry Cohn, 2025, needs more optimization.
18 288 0.248901503613 Henry Cohn, 2025, needs more optimization.
18 289 0.248943124800 Henry Cohn, 2025, needs more optimization.
18 290 0.249376318553 Henry Cohn, 2025, needs more optimization.
18 291 0.249460162731 Henry Cohn, 2025, needs more optimization.
18 292 0.249507024422 Henry Cohn, 2025, needs more optimization.
18 315 0.261209305000 Orthogonal union of 313 points in 17 dimensions and 2 points in 1 dimension.
18 316 0.261209314511 Orthogonal union of 314 points in 17 dimensions and 2 points in 1 dimension.
18 317 0.261209614530 Orthogonal union of 315 points in 17 dimensions and 2 points in 1 dimension.
18 322 0.274085377664 Orthogonal union of 320 points in 17 dimensions and 2 points in 1 dimension.
18 323 0.284194766731 Orthogonal union of 321 points in 17 dimensions and 2 points in 1 dimension.
18 364 0.296296296297 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
27⁢x−8
18 428 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
18 672 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
18 673 0.380578605714 Henry Cohn, 2025, needs more optimization.
18 674 0.380856163818 Henry Cohn, 2025, needs more optimization.
18 675 0.380939479190 Henry Cohn, 2025, needs more optimization.
18 676 0.380992059712 Henry Cohn, 2025, needs more optimization.
18 677 0.381360083758 Henry Cohn, 2025, needs more optimization.
18 678 0.381377513516 Henry Cohn, 2025, needs more optimization.
18 679 0.381420504132 Henry Cohn, 2025, needs more optimization.
18 680 0.381749033502 Henry Cohn, 2025, needs more optimization.
18 681 0.381787858258 Henry Cohn, 2025, needs more optimization.
18 682 0.381796794902 Henry Cohn, 2025, needs more optimization.
18 683 0.381850012846 Henry Cohn, 2025, needs more optimization.
18 684 0.381918720496 Henry Cohn, 2025, needs more optimization.
18 685 0.381945539484 Henry Cohn, 2025, needs more optimization.
18 686 0.382300042614 Henry Cohn, 2025, needs more optimization.
18 687 0.382367135251 Henry Cohn, 2025, needs more optimization.
18 688 0.382384534959 Henry Cohn, 2025, needs more optimization.
18 689 0.382750349499 Henry Cohn, 2025, needs more optimization.
18 690 0.382764021092 Henry Cohn, 2025, needs more optimization.
18 691 0.382791825630 Henry Cohn, 2025, needs more optimization.
18 692 0.383191337619 Henry Cohn, 2025, needs more optimization.
18 694 0.383219172692 Henry Cohn, 2025, needs more optimization.
18 695 0.383716139302 Henry Cohn, 2025, needs more optimization.
18 696 0.383727690726 Henry Cohn, 2025, needs more optimization.
18 697 0.383812568221 Henry Cohn, 2025, needs more optimization.
18 698 0.383831792582 Henry Cohn, 2025, needs more optimization.
18 699 0.384188096309 Henry Cohn, 2025, needs more optimization.
18 700 0.384196414062 Henry Cohn, 2025, needs more optimization.
18 701 0.384262892746 Henry Cohn, 2025, needs more optimization.
18 702 0.384595064864 Henry Cohn, 2025, needs more optimization.
18 703 0.384603369652 Henry Cohn, 2025, needs more optimization.
18 704 0.384610085061 Henry Cohn, 2025, needs more optimization.
18 705 0.384889173913 Henry Cohn, 2025, needs more optimization.
18 706 0.384958171841 Henry Cohn, 2025, needs more optimization.
18 707 0.385094810462 Henry Cohn, 2025, needs more optimization.
18 708 0.385283172411 Henry Cohn, 2025, needs more optimization.
18 709 0.385335870297 Henry Cohn, 2025, needs more optimization.
18 710 0.385342469202 Henry Cohn, 2025, needs more optimization.
18 711 0.385655816208 Henry Cohn, 2025, needs more optimization.
18 712 0.385728388523 Henry Cohn, 2025, needs more optimization.
18 713 0.385734654978 Henry Cohn, 2025, needs more optimization.
18 714 0.386099267208 Henry Cohn, 2025, needs more optimization.
18 715 0.386108698197 Henry Cohn, 2025, needs more optimization.
18 716 0.386163185159 Henry Cohn, 2025, needs more optimization.
18 717 0.386397277536 Henry Cohn, 2025, needs more optimization.
18 718 0.386530541805 Henry Cohn, 2025, needs more optimization.
18 719 0.386588971830 Henry Cohn, 2025, needs more optimization.
18 720 0.386806562835 Henry Cohn, 2025, needs more optimization.
18 721 0.386888236002 Henry Cohn, 2025, needs more optimization.
18 722 0.386938418692 Henry Cohn, 2025, needs more optimization.
18 723 0.387034089532 Henry Cohn, 2025, needs more optimization.
18 724 0.387215256773 Henry Cohn, 2025, needs more optimization.
18 725 0.387297735314 Henry Cohn, 2025, needs more optimization.
18 726 0.387479893321 Henry Cohn, 2025, needs more optimization.
18 727 0.387551379924 Henry Cohn, 2025, needs more optimization.
18 728 0.387689351071 Henry Cohn, 2025, needs more optimization.
18 729 0.387980452875 Henry Cohn, 2025, needs more optimization.
18 730 0.388008107917 Henry Cohn, 2025, needs more optimization.
18 731 0.388024975979 Henry Cohn, 2025, needs more optimization.
18 732 0.388328329287 Henry Cohn, 2025, needs more optimization.
18 733 0.388378898302 Henry Cohn, 2025, needs more optimization.
18 734 0.388399515359 Henry Cohn, 2025, needs more optimization.
18 735 0.388534177769 Henry Cohn, 2025, needs more optimization.
18 736 0.388585810800 Henry Cohn, 2025, needs more optimization.
18 737 0.388832227365 Henry Cohn, 2025, needs more optimization.
18 738 0.388877646311 Henry Cohn, 2025, needs more optimization.
18 739 0.388880370028 Henry Cohn, 2025, needs more optimization.
18 740 0.388945601344 Henry Cohn, 2025, needs more optimization.
18 741 0.389172611707 Henry Cohn, 2025, needs more optimization.
18 742 0.389478406969 Henry Cohn, 2025, needs more optimization.
18 743 0.389551923569 Henry Cohn, 2025, needs more optimization.
18 744 0.389575441845 Henry Cohn, 2025, needs more optimization.
18 745 0.389781739421 Henry Cohn, 2025, needs more optimization.
18 746 0.389792117176 Henry Cohn, 2025, needs more optimization.
18 747 0.389819661413 Henry Cohn, 2025, needs more optimization.
18 748 0.390154271146 Henry Cohn, 2025, needs more optimization.
18 749 0.390186853132 Henry Cohn, 2025, needs more optimization.
18 750 0.390443609421 Henry Cohn, 2025, needs more optimization.
18 751 0.390454136912 Henry Cohn, 2025, needs more optimization.
18 752 0.390463865648 Henry Cohn, 2025, needs more optimization.
18 753 0.390755686409 Henry Cohn, 2025, needs more optimization.
18 754 0.390820364335 Henry Cohn, 2025, needs more optimization.
18 755 0.390861065087 Henry Cohn, 2025, needs more optimization.
18 756 0.391192719317 Henry Cohn, 2025, needs more optimization.
18 757 0.391220203322 Henry Cohn, 2025, needs more optimization.
18 758 0.391246385264 Henry Cohn, 2025, needs more optimization.
18 759 0.391297150155 Henry Cohn, 2025, needs more optimization.
18 760 0.391659976948 Henry Cohn, 2025, needs more optimization.
18 761 0.391704697685 Henry Cohn, 2025, needs more optimization.
18 762 0.391713598130 Henry Cohn, 2025, needs more optimization.
18 764 0.392099171048 Henry Cohn, 2025, needs more optimization.
18 765 0.392105703144 Henry Cohn, 2025, needs more optimization.
18 766 0.392115319366 Henry Cohn, 2025, needs more optimization.
18 767 0.392512425442 Henry Cohn, 2025, needs more optimization.
18 768 0.392546351881 Henry Cohn, 2025, needs more optimization.
18 769 0.392557981021 Henry Cohn, 2025, needs more optimization.
18 770 0.392602933526 Henry Cohn, 2025, needs more optimization.
18 771 0.392856322013 Henry Cohn, 2025, needs more optimization.
18 772 0.392883795546 Henry Cohn, 2025, needs more optimization.
18 773 0.392928063332 Henry Cohn, 2025, needs more optimization.
18 774 0.392984598458 Henry Cohn, 2025, needs more optimization.
18 775 0.393294568958 Henry Cohn, 2025, needs more optimization.
18 776 0.393344645107 Henry Cohn, 2025, needs more optimization.
18 777 0.393513558954 Henry Cohn, 2025, needs more optimization.
18 778 0.393549448319 Henry Cohn, 2025, needs more optimization.
18 779 0.393816740210 Henry Cohn, 2025, needs more optimization.
18 780 0.393870948157 Henry Cohn, 2025, needs more optimization.
18 781 0.393873489778 Henry Cohn, 2025, needs more optimization.
18 782 0.394236846287 Henry Cohn, 2025, needs more optimization.
18 783 0.394287414031 Henry Cohn, 2025, needs more optimization.
18 784 0.394466808700 Henry Cohn, 2025, needs more optimization.
18 785 0.394495080195 Henry Cohn, 2025, needs more optimization.
18 786 0.394509271066 Henry Cohn, 2025, needs more optimization.
18 787 0.394799785982 Henry Cohn, 2025, needs more optimization.
18 788 0.394832801341 Henry Cohn, 2025, needs more optimization.
18 789 0.395113056881 Henry Cohn, 2025, needs more optimization.
18 790 0.395125426566 Henry Cohn, 2025, needs more optimization.
18 791 0.395129213084 Henry Cohn, 2025, needs more optimization.
18 792 0.395142527349 Henry Cohn, 2025, needs more optimization.
18 793 0.395226425476 Henry Cohn, 2025, needs more optimization.
18 794 0.395408157548 Henry Cohn, 2025, needs more optimization.
18 795 0.395474268578 Henry Cohn, 2025, needs more optimization.
18 796 0.395509865858 Henry Cohn, 2025, needs more optimization.
18 797 0.395682765233 Henry Cohn, 2025, needs more optimization.
18 798 0.395701004135 Henry Cohn, 2025, needs more optimization.
18 799 0.395946737669 Henry Cohn, 2025, needs more optimization.
18 800 0.396031750197 Henry Cohn, 2025, needs more optimization.
18 801 0.396083831166 Henry Cohn, 2025, needs more optimization.
18 802 0.396367279135 Henry Cohn, 2025, needs more optimization.
18 803 0.396409815689 Henry Cohn, 2025, needs more optimization.
18 804 0.396420280126 Henry Cohn, 2025, needs more optimization.
18 805 0.396503477609 Henry Cohn, 2025, needs more optimization.
18 806 0.396777578902 Henry Cohn, 2025, needs more optimization.
18 807 0.396787778061 Henry Cohn, 2025, needs more optimization.
18 808 0.397100657080 Henry Cohn, 2025, needs more optimization.
18 809 0.397145089491 Henry Cohn, 2025, needs more optimization.
18 810 0.397172956735 Henry Cohn, 2025, needs more optimization.
18 811 0.397181532613 Henry Cohn, 2025, needs more optimization.
18 812 0.397415999875 Henry Cohn, 2025, needs more optimization.
18 813 0.397423491388 Henry Cohn, 2025, needs more optimization.
18 814 0.397696681155 Henry Cohn, 2025, needs more optimization.
18 815 0.397733842789 Henry Cohn, 2025, needs more optimization.
18 816 0.397755828727 Henry Cohn, 2025, needs more optimization.
18 817 0.398002483391 Henry Cohn, 2025, needs more optimization.
18 818 0.398050599578 Henry Cohn, 2025, needs more optimization.
18 819 0.398058458059 Henry Cohn, 2025, needs more optimization.
18 820 0.398198805649 Henry Cohn, 2025, needs more optimization.
18 821 0.398210679623 Henry Cohn, 2025, needs more optimization.
18 822 0.398435203527 Henry Cohn, 2025, needs more optimization.
18 823 0.398453149208 Henry Cohn, 2025, needs more optimization.
18 824 0.398849549772 Henry Cohn, 2025, needs more optimization.
18 825 0.398856349156 Henry Cohn, 2025, needs more optimization.
18 826 0.398951743030 Henry Cohn, 2025, needs more optimization.
18 827 0.398957055221 Henry Cohn, 2025, needs more optimization.
18 828 0.399101384477 Henry Cohn, 2025, needs more optimization.
18 829 0.399115857467 Henry Cohn, 2025, needs more optimization.
18 830 0.399126745909 Henry Cohn, 2025, needs more optimization.
18 831 0.399370757201 Henry Cohn, 2025, needs more optimization.
18 832 0.399388409388 Henry Cohn, 2025, needs more optimization.
18 833 0.399458965604 Henry Cohn, 2025, needs more optimization.
18 834 0.399831673776 Henry Cohn, 2025, needs more optimization.
18 835 0.399908508342 Henry Cohn, 2025, needs more optimization.
18 836 0.399915576698 Henry Cohn, 2025, needs more optimization.
18 837 0.399960299790 Henry Cohn, 2025, needs more optimization.
18 838 0.400214244006 Henry Cohn, 2025, needs more optimization.
18 839 0.400215929814 Henry Cohn, 2025, needs more optimization.
18 840 0.400226421800 Henry Cohn, 2025, needs more optimization.
18 841 0.400499512177 Henry Cohn, 2025, needs more optimization.
18 842 0.400508655614 Henry Cohn, 2025, needs more optimization.
18 843 0.400564127077 Henry Cohn, 2025, needs more optimization.
18 844 0.400920433587 Henry Cohn, 2025, needs more optimization.
18 845 0.400967243756 Henry Cohn, 2025, needs more optimization.
18 846 0.401022704406 Henry Cohn, 2025, needs more optimization.
18 847 0.401050049934 Henry Cohn, 2025, needs more optimization.
18 848 0.401086681943 Henry Cohn, 2025, needs more optimization.
18 849 0.401138493267 Henry Cohn, 2025, needs more optimization.
18 850 0.401149098528 Henry Cohn, 2025, needs more optimization.
18 851 0.401429391641 Henry Cohn, 2025, needs more optimization.
18 852 0.401467192413 Henry Cohn, 2025, needs more optimization.
18 853 0.401781107991 Henry Cohn, 2025, needs more optimization.
18 854 0.401810190399 Henry Cohn, 2025, needs more optimization.
18 855 0.401839193550 Henry Cohn, 2025, needs more optimization.
18 856 0.401845325094 Henry Cohn, 2025, needs more optimization.
18 857 0.401856174631 Henry Cohn, 2025, needs more optimization.
18 858 0.402273309062 Henry Cohn, 2025, needs more optimization.
18 859 0.402287949177 Henry Cohn, 2025, needs more optimization.
18 860 0.402344380202 Henry Cohn, 2025, needs more optimization.
18 861 0.402537945153 Henry Cohn, 2025, needs more optimization.
18 862 0.402545964346 Henry Cohn, 2025, needs more optimization.
18 863 0.402863057342 Henry Cohn, 2025, needs more optimization.
18 864 0.402901737518 Henry Cohn, 2025, needs more optimization.
18 865 0.402939434208 Henry Cohn, 2025, needs more optimization.
18 866 0.402950198447 Henry Cohn, 2025, needs more optimization.
18 867 0.403217106191 Henry Cohn, 2025, needs more optimization.
18 868 0.403225573584 Henry Cohn, 2025, needs more optimization.
18 869 0.403536953442 Henry Cohn, 2025, needs more optimization.
18 870 0.403604626580 Henry Cohn, 2025, needs more optimization.
18 871 0.403629387195 Henry Cohn, 2025, needs more optimization.
18 872 0.403639910724 Henry Cohn, 2025, needs more optimization.
18 873 0.403696060531 Henry Cohn, 2025, needs more optimization.
18 874 0.403705388312 Henry Cohn, 2025, needs more optimization.
18 876 0.403906417081 Henry Cohn, 2025, needs more optimization.
18 877 0.403956092419 Henry Cohn, 2025, needs more optimization.
18 878 0.403985449326 Henry Cohn, 2025, needs more optimization.
18 879 0.404274846745 Henry Cohn, 2025, needs more optimization.
18 880 0.404290864702 Henry Cohn, 2025, needs more optimization.
18 881 0.404332514981 Henry Cohn, 2025, needs more optimization.
18 882 0.404350252750 Henry Cohn, 2025, needs more optimization.
18 883 0.404901854157 Henry Cohn, 2025, needs more optimization.
18 884 0.404916918886 Henry Cohn, 2025, needs more optimization.
18 885 0.404936021013 Henry Cohn, 2025, needs more optimization.
18 886 0.405016173267 Henry Cohn, 2025, needs more optimization.
18 887 0.405026469966 Henry Cohn, 2025, needs more optimization.
18 888 0.405049619820 Henry Cohn, 2025, needs more optimization.
18 889 0.405070868996 Henry Cohn, 2025, needs more optimization.
18 890 0.405073205640 Henry Cohn, 2025, needs more optimization.
18 891 0.405450560579 Henry Cohn, 2025, needs more optimization.
18 892 0.405540456811 Henry Cohn, 2025, needs more optimization.
18 893 0.405733322367 Henry Cohn, 2025, needs more optimization.
18 894 0.405765519657 Henry Cohn, 2025, needs more optimization.
18 895 0.405773474450 Henry Cohn, 2025, needs more optimization.
18 896 0.405805251297 Henry Cohn, 2025, needs more optimization.
18 897 0.405985895478 Henry Cohn, 2025, needs more optimization.
18 898 0.406002217466 Henry Cohn, 2025, needs more optimization.
18 899 0.406298934528 Henry Cohn, 2025, needs more optimization.
18 900 0.406312531462 Henry Cohn, 2025, needs more optimization.
18 901 0.406326717716 Henry Cohn, 2025, needs more optimization.
18 902 0.406353279766 Henry Cohn, 2025, needs more optimization.
18 903 0.406416527607 Henry Cohn, 2025, needs more optimization.
18 904 0.406526508726 Henry Cohn, 2025, needs more optimization.
18 905 0.406831259556 Henry Cohn, 2025, needs more optimization.
18 906 0.406838449444 Henry Cohn, 2025, needs more optimization.
18 907 0.407066475242 Henry Cohn, 2025, needs more optimization.
18 908 0.407096016752 Henry Cohn, 2025, needs more optimization.
18 909 0.407150308737 Henry Cohn, 2025, needs more optimization.
18 910 0.407197782808 Henry Cohn, 2025, needs more optimization.
18 911 0.407582055640 Henry Cohn, 2025, needs more optimization.
18 912 0.407622618941 Henry Cohn, 2025, needs more optimization.
18 913 0.407644676289 Henry Cohn, 2025, needs more optimization.
18 914 0.407743733964 Henry Cohn, 2025, needs more optimization.
18 916 0.407781969546 Henry Cohn, 2025, needs more optimization.
18 917 0.407977187501 Henry Cohn, 2025, needs more optimization.
18 918 0.407987998299 Henry Cohn, 2025, needs more optimization.
18 919 0.408150466177 Henry Cohn, 2025, needs more optimization.
18 920 0.408154373834 Henry Cohn, 2025, needs more optimization.
18 921 0.408170931068 Henry Cohn, 2025, needs more optimization.
18 922 0.408596311001 Henry Cohn, 2025, needs more optimization.
18 923 0.408600593630 Henry Cohn, 2025, needs more optimization.
18 924 0.408616461329 Henry Cohn, 2025, needs more optimization.
18 925 0.408640598308 Henry Cohn, 2025, needs more optimization.
18 926 0.408741227011 Henry Cohn, 2025, needs more optimization.
18 927 0.408742320685 Henry Cohn, 2025, needs more optimization.
18 928 0.408987559092 Henry Cohn, 2025, needs more optimization.
18 929 0.409067302990 Henry Cohn, 2025, needs more optimization.
18 930 0.409116211409 Henry Cohn, 2025, needs more optimization.
18 931 0.409362174153 Henry Cohn, 2025, needs more optimization.
18 932 0.409370284741 Henry Cohn, 2025, needs more optimization.
18 933 0.409382102705 Henry Cohn, 2025, needs more optimization.
18 934 0.409402347846 Henry Cohn, 2025, needs more optimization.
18 935 0.409465777785 Henry Cohn, 2025, needs more optimization.
18 936 0.409808341438 Henry Cohn, 2025, needs more optimization.
18 937 0.409871797340 Henry Cohn, 2025, needs more optimization.
18 939 0.409899968358 Henry Cohn, 2025, needs more optimization.
18 940 0.410194883260 Henry Cohn, 2025, needs more optimization.
18 942 0.410235554045 Henry Cohn, 2025, needs more optimization.
18 943 0.410302125730 Henry Cohn, 2025, needs more optimization.
18 944 0.410359550984 Henry Cohn, 2025, needs more optimization.
18 945 0.410588007309 Henry Cohn, 2025, needs more optimization.
18 946 0.410619605964 Henry Cohn, 2025, needs more optimization.
18 947 0.410659308065 Henry Cohn, 2025, needs more optimization.
18 948 0.410876407965 Henry Cohn, 2025, needs more optimization.
18 949 0.410881491743 Henry Cohn, 2025, needs more optimization.
18 950 0.411035693463 Henry Cohn, 2025, needs more optimization.
18 951 0.411098778568 Henry Cohn, 2025, needs more optimization.
18 952 0.411159818227 Henry Cohn, 2025, needs more optimization.
18 953 0.411338347425 Henry Cohn, 2025, needs more optimization.
18 954 0.411342953639 Henry Cohn, 2025, needs more optimization.
18 955 0.411351313792 Henry Cohn, 2025, needs more optimization.
18 956 0.411673618852 Henry Cohn, 2025, needs more optimization.
18 957 0.411685869281 Henry Cohn, 2025, needs more optimization.
18 958 0.411711037973 Henry Cohn, 2025, needs more optimization.
18 959 0.411722289270 Henry Cohn, 2025, needs more optimization.
18 960 0.411808719824 Henry Cohn, 2025, needs more optimization.
18 961 0.411814714585 Henry Cohn, 2025, needs more optimization.
18 962 0.411874309513 Henry Cohn, 2025, needs more optimization.
18 963 0.411881959231 Henry Cohn, 2025, needs more optimization.
18 964 0.411944542885 Henry Cohn, 2025, needs more optimization.
18 965 0.412275590974 Henry Cohn, 2025, needs more optimization.
18 966 0.412296689962 Henry Cohn, 2025, needs more optimization.
18 967 0.412568221536 Henry Cohn, 2025, needs more optimization.
18 968 0.412604260904 Henry Cohn, 2025, needs more optimization.
18 969 0.412694368634 Henry Cohn, 2025, needs more optimization.
18 970 0.412711469459 Henry Cohn, 2025, needs more optimization.
18 971 0.412745843596 Henry Cohn, 2025, needs more optimization.
18 972 0.413023028110 Henry Cohn, 2025, needs more optimization.
18 973 0.413041506379 Henry Cohn, 2025, needs more optimization.
18 974 0.413067696539 Henry Cohn, 2025, needs more optimization.
18 975 0.413118829831 Henry Cohn, 2025, needs more optimization.
18 977 0.413359777222 Henry Cohn, 2025, needs more optimization.
18 978 0.413390640069 Henry Cohn, 2025, needs more optimization.
18 979 0.413397643119 Henry Cohn, 2025, needs more optimization.
18 981 0.413431742616 Henry Cohn, 2025, needs more optimization.
18 982 0.413724637280 Henry Cohn, 2025, needs more optimization.
18 983 0.413727844699 Henry Cohn, 2025, needs more optimization.
18 984 0.414009994630 Henry Cohn, 2025, needs more optimization.
18 985 0.414063680832 Henry Cohn, 2025, needs more optimization.
18 986 0.414238304071 Henry Cohn, 2025, needs more optimization.
18 987 0.414252855490 Henry Cohn, 2025, needs more optimization.
18 988 0.414260529290 Henry Cohn, 2025, needs more optimization.
18 989 0.414318952556 Henry Cohn, 2025, needs more optimization.
18 990 0.414321780567 Henry Cohn, 2025, needs more optimization.
18 991 0.414611750599 Henry Cohn, 2025, needs more optimization.
18 992 0.414639977560 Henry Cohn, 2025, needs more optimization.
18 993 0.414699847694 Henry Cohn, 2025, needs more optimization.
18 995 0.414802538031 Henry Cohn, 2025, needs more optimization.
18 996 0.414832055846 Henry Cohn, 2025, needs more optimization.
18 999 0.415153401351 Henry Cohn, 2025, needs more optimization.
18 1000 0.415478174251 Henry Cohn, 2025, needs more optimization.
18 1001 0.415534484515 Henry Cohn, 2025, needs more optimization.
18 1003 0.415579743621 Henry Cohn, 2025, needs more optimization.
18 1004 0.415606360274 Henry Cohn, 2025, needs more optimization.
18 1005 0.415916328126 Henry Cohn, 2025, needs more optimization.
18 1006 0.415917703914 Henry Cohn, 2025, needs more optimization.
18 1007 0.416016342657 Henry Cohn, 2025, needs more optimization.
18 1009 0.416242340183 Henry Cohn, 2025, needs more optimization.
18 1010 0.416272094521 Henry Cohn, 2025, needs more optimization.
18 1012 0.416308203013 Henry Cohn, 2025, needs more optimization.
18 1014 0.416919119302 Henry Cohn, 2025, needs more optimization.
18 1015 0.416921394226 Henry Cohn, 2025, needs more optimization.
18 1016 0.416986290831 Henry Cohn, 2025, needs more optimization.
18 1017 0.416996018984 Henry Cohn, 2025, needs more optimization.
18 1018 0.417016602612 Henry Cohn, 2025, needs more optimization.
18 1019 0.417029179571 Henry Cohn, 2025, needs more optimization.
18 1020 0.417030708122 Henry Cohn, 2025, needs more optimization.
18 1021 0.417360373762 Henry Cohn, 2025, needs more optimization.
18 1022 0.417571890204 Henry Cohn, 2025, needs more optimization.
18 1023 0.417610743196 Henry Cohn, 2025, needs more optimization.
18 1024 0.417630023975 Henry Cohn, 2025, needs more optimization.
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, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
21⁢x−1
19 41 0.053165944699 Henry Cohn, 2023.
19 42 0.053978364917 Henry Cohn, 2025.
19 43 0.058595362201 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 0.077590423532 Henry Cohn, 2025.
19 52 0.081692292171 Henry Cohn, 2024.
19 55 0.082178889828 Henry Cohn, 2025.
19 56 0.083234473074 Henry Cohn, 2024, needs more optimization.
19 57 0.084828383677 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 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 71 0.101456854890 Orthogonal union of 69 points in 18 dimensions and 2 points in 1 dimension.
176⁢x2−8⁢x−1
19 72 0.111111111112 Kissing configuration of 105 points in 20 dimensions from T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
9⁢x−1
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
19 100 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
19 132 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
19 140 0.189191312032 Henry Cohn, 2025, needs more optimization.
19 156 0.189191422999 Henry Cohn, 2025, needs more optimization.
19 161 0.191176470589 Henry Cohn, 2025.
68⁢x−13
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
19 192 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
19 207 0.224489795919 Orthogonal union of 205 points in 18 dimensions and 2 points in 1 dimension.
49⁢x−11
19 240 0.230769230770 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
13⁢x−3
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
19 289 0.238522134882 Henry Cohn, 2025, needs more optimization.
19 290 0.248896987386 Henry Cohn, 2025, needs more optimization.
19 291 0.248943124800 Orthogonal union of 289 points in 18 dimensions and 2 points in 1 dimension.
19 292 0.249362106869 Henry Cohn, 2025, needs more optimization.
19 293 0.249460162731 Orthogonal union of 291 points in 18 dimensions and 2 points in 1 dimension.
19 294 0.249504664464 Henry Cohn, 2025, needs more optimization.
19 295 0.25 Orthogonal union of 288 points in 16 dimensions and 7 points in 3 dimensions.
4⁢x−1
19 296 0.250036362952 Henry Cohn, 2025, needs more optimization.
19 297 0.250051804855 Henry Cohn, 2025, needs more optimization.
19 298 0.250056356986 Henry Cohn, 2025, needs more optimization.
19 299 0.250116020495 Henry Cohn, 2025, needs more optimization.
19 300 0.250259969634 Henry Cohn, 2025, needs more optimization.
19 301 0.250310247372 Henry Cohn, 2025, needs more optimization.
19 303 0.251657791875 Henry Cohn, 2025, needs more optimization.
19 305 0.251690343780 Henry Cohn, 2025, needs more optimization.
19 306 0.251725815743 Henry Cohn, 2025, needs more optimization.
19 307 0.251845203709 Henry Cohn, 2025, needs more optimization.
19 309 0.253733164340 Henry Cohn, 2025, needs more optimization.
19 310 0.253776392802 Henry Cohn, 2025, needs more optimization.
19 311 0.253848959493 Henry Cohn, 2025, needs more optimization.
19 312 0.257590726882 Henry Cohn, 2025, needs more optimization.
19 315 0.257617961102 Henry Cohn, 2025, needs more optimization.
19 316 0.257644320606 Henry Cohn, 2025, needs more optimization.
19 317 0.257690665015 Henry Cohn, 2025, needs more optimization.
19 318 0.257708616612 Henry Cohn, 2025, needs more optimization.
19 320 0.257718816577 Henry Cohn, 2025, needs more optimization.
19 321 0.257739869479 Henry Cohn, 2025, needs more optimization.
19 323 0.261022225475 Henry Cohn, 2025, needs more optimization.
19 324 0.274085377664 Orthogonal union of 320 points in 17 dimensions and 4 points in 2 dimensions.
19 325 0.284194766731 Orthogonal union of 321 points in 17 dimensions and 4 points in 2 dimensions.
19 433 0.296296296297 Henry Cohn, 2025.
27⁢x−8
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
19 896 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 0.389499565865 Henry Cohn, 2025, needs more optimization.
19 898 0.389531806197 Henry Cohn, 2025, needs more optimization.
19 899 0.389544650309 Henry Cohn, 2025, needs more optimization.
19 900 0.389850002751 Henry Cohn, 2025, needs more optimization.
19 901 0.389857512486 Henry Cohn, 2025, needs more optimization.
19 902 0.389932009569 Henry Cohn, 2025, needs more optimization.
19 903 0.390049958737 Henry Cohn, 2025, needs more optimization.
19 904 0.390128134528 Henry Cohn, 2025, needs more optimization.
19 905 0.390144902566 Henry Cohn, 2025, needs more optimization.
19 906 0.390157694916 Henry Cohn, 2025, needs more optimization.
19 907 0.390390405065 Henry Cohn, 2025, needs more optimization.
19 908 0.390403326357 Henry Cohn, 2025, needs more optimization.
19 909 0.390431399734 Henry Cohn, 2025, needs more optimization.
19 910 0.390483322764 Henry Cohn, 2025, needs more optimization.
19 912 0.390786819226 Henry Cohn, 2025, needs more optimization.
19 913 0.390834366712 Henry Cohn, 2025, needs more optimization.
19 914 0.391022485671 Henry Cohn, 2025, needs more optimization.
19 915 0.391056437682 Henry Cohn, 2025, needs more optimization.
19 916 0.391148596745 Henry Cohn, 2025, needs more optimization.
19 917 0.391157520766 Henry Cohn, 2025, needs more optimization.
19 918 0.391336672479 Henry Cohn, 2025, needs more optimization.
19 919 0.391564034529 Henry Cohn, 2025, needs more optimization.
19 920 0.391577091318 Henry Cohn, 2025, needs more optimization.
19 921 0.391618384565 Henry Cohn, 2025, needs more optimization.
19 922 0.391631566814 Henry Cohn, 2025, needs more optimization.
19 923 0.391671825490 Henry Cohn, 2025, needs more optimization.
19 924 0.391677085197 Henry Cohn, 2025, needs more optimization.
19 925 0.391887707343 Henry Cohn, 2025, needs more optimization.
19 926 0.392119864049 Henry Cohn, 2025, needs more optimization.
19 927 0.392176574416 Henry Cohn, 2025, needs more optimization.
19 928 0.392195980065 Henry Cohn, 2025, needs more optimization.
19 929 0.392223880695 Henry Cohn, 2025, needs more optimization.
19 930 0.392264473889 Henry Cohn, 2025, needs more optimization.
19 931 0.392650441028 Henry Cohn, 2025, needs more optimization.
19 932 0.392682060528 Henry Cohn, 2025, needs more optimization.
19 933 0.392716115957 Henry Cohn, 2025, needs more optimization.
19 934 0.392917976863 Henry Cohn, 2025, needs more optimization.
19 935 0.392936765712 Henry Cohn, 2025, needs more optimization.
19 936 0.392985244158 Henry Cohn, 2025, needs more optimization.
19 937 0.393021060248 Henry Cohn, 2025, needs more optimization.
19 938 0.393050625785 Henry Cohn, 2025, needs more optimization.
19 939 0.393105365352 Henry Cohn, 2025, needs more optimization.
19 940 0.393315487898 Henry Cohn, 2025, needs more optimization.
19 941 0.393341445337 Henry Cohn, 2025, needs more optimization.
19 942 0.393402735748 Henry Cohn, 2025, needs more optimization.
19 943 0.393687862557 Henry Cohn, 2025, needs more optimization.
19 944 0.393695944503 Henry Cohn, 2025, needs more optimization.
19 945 0.393711353023 Henry Cohn, 2025, needs more optimization.
19 946 0.393735788300 Henry Cohn, 2025, needs more optimization.
19 947 0.394140411004 Henry Cohn, 2025, needs more optimization.
19 948 0.394150722502 Henry Cohn, 2025, needs more optimization.
19 949 0.394168914825 Henry Cohn, 2025, needs more optimization.
19 950 0.394355037594 Henry Cohn, 2025, needs more optimization.
19 951 0.394458278770 Henry Cohn, 2025, needs more optimization.
19 953 0.394679619908 Henry Cohn, 2025, needs more optimization.
19 954 0.394681089124 Henry Cohn, 2025, needs more optimization.
19 955 0.394745067453 Henry Cohn, 2025, needs more optimization.
19 956 0.395100627634 Henry Cohn, 2025, needs more optimization.
19 957 0.395108770268 Henry Cohn, 2025, needs more optimization.
19 958 0.395150685722 Henry Cohn, 2025, needs more optimization.
19 959 0.395203517926 Henry Cohn, 2025, needs more optimization.
19 960 0.395235421382 Henry Cohn, 2025, needs more optimization.
19 961 0.395484046614 Henry Cohn, 2025, needs more optimization.
19 962 0.395507112328 Henry Cohn, 2025, needs more optimization.
19 964 0.395578266412 Henry Cohn, 2025, needs more optimization.
19 965 0.395634683676 Henry Cohn, 2025, needs more optimization.
19 966 0.395647215614 Henry Cohn, 2025, needs more optimization.
19 967 0.395890746380 Henry Cohn, 2025, needs more optimization.
19 968 0.395908880689 Henry Cohn, 2025, needs more optimization.
19 969 0.395947757968 Henry Cohn, 2025, needs more optimization.
19 971 0.396250228746 Henry Cohn, 2025, needs more optimization.
19 972 0.396312967183 Henry Cohn, 2025, needs more optimization.
19 973 0.396317800350 Henry Cohn, 2025, needs more optimization.
19 974 0.396335651071 Henry Cohn, 2025, needs more optimization.
19 975 0.396410820562 Henry Cohn, 2025, needs more optimization.
19 977 0.396666812361 Henry Cohn, 2025, needs more optimization.
19 978 0.396889292075 Henry Cohn, 2025, needs more optimization.
19 979 0.396921634647 Henry Cohn, 2025, needs more optimization.
19 980 0.396930434249 Henry Cohn, 2025, needs more optimization.
19 981 0.396973039108 Henry Cohn, 2025, needs more optimization.
19 982 0.396987107938 Henry Cohn, 2025, needs more optimization.
19 983 0.397025868600 Henry Cohn, 2025, needs more optimization.
19 984 0.397333657162 Henry Cohn, 2025, needs more optimization.
19 985 0.397425678461 Henry Cohn, 2025, needs more optimization.
19 986 0.397437446329 Henry Cohn, 2025, needs more optimization.
19 987 0.397716297862 Henry Cohn, 2025, needs more optimization.
19 988 0.397722300368 Henry Cohn, 2025, needs more optimization.
19 989 0.397734639598 Henry Cohn, 2025, needs more optimization.
19 990 0.397737529809 Henry Cohn, 2025, needs more optimization.
19 991 0.397800223869 Henry Cohn, 2025, needs more optimization.
19 992 0.398139563551 Henry Cohn, 2025, needs more optimization.
19 993 0.398152799572 Henry Cohn, 2025, needs more optimization.
19 994 0.398222306680 Henry Cohn, 2025, needs more optimization.
19 996 0.398242637105 Henry Cohn, 2025, needs more optimization.
19 997 0.398565510739 Henry Cohn, 2025, needs more optimization.
19 998 0.398568371393 Henry Cohn, 2025, needs more optimization.
19 999 0.398574176127 Henry Cohn, 2025, needs more optimization.
19 1000 0.398636184222 Henry Cohn, 2025, needs more optimization.
19 1002 0.398902209368 Henry Cohn, 2025, needs more optimization.
19 1003 0.398924116880 Henry Cohn, 2025, needs more optimization.
19 1004 0.398988003376 Henry Cohn, 2025, needs more optimization.
19 1005 0.399010300701 Henry Cohn, 2025, needs more optimization.
19 1006 0.399015480403 Henry Cohn, 2025, needs more optimization.
19 1007 0.399019933670 Henry Cohn, 2025, needs more optimization.
19 1008 0.399341489697 Henry Cohn, 2025, needs more optimization.
19 1009 0.399364734671 Henry Cohn, 2025, needs more optimization.
19 1010 0.399388570314 Henry Cohn, 2025, needs more optimization.
19 1011 0.399599075265 Henry Cohn, 2025, needs more optimization.
19 1012 0.399653295758 Henry Cohn, 2025, needs more optimization.
19 1013 0.399698613010 Henry Cohn, 2025, needs more optimization.
19 1014 0.399944966063 Henry Cohn, 2025, needs more optimization.
19 1015 0.400126269051 Henry Cohn, 2025, needs more optimization.
19 1016 0.400127200518 Henry Cohn, 2025, needs more optimization.
19 1018 0.400155464903 Henry Cohn, 2025, needs more optimization.
19 1019 0.400325612616 Henry Cohn, 2025, needs more optimization.
19 1020 0.400508433787 Henry Cohn, 2025, needs more optimization.
19 1021 0.400825231681 Henry Cohn, 2025, needs more optimization.
19 1022 0.400839907357 Henry Cohn, 2025, needs more optimization.
19 1023 0.400848832860 Henry Cohn, 2025, needs more optimization.
19 1024 0.400854175065 Henry Cohn, 2025, needs more optimization.
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 0.053974601369 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 0.063705147384 Henry Cohn, 2024, needs more optimization.
20 56* 0.066666666667 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.
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 68 0.097744360903 Code with 66 points in 19 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.
133⁢x−13
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 92 0.112912613537 Henry Cohn, 2025.
167⁢x2−10⁢x−1
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
20 120 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
20 123 0.147678682189 Henry Cohn, 2025, needs more optimization.
20 124 0.147679349268 Henry Cohn, 2025, needs more optimization.
20 125 0.153509046566 Henry Cohn, 2025, needs more optimization.
20 126 0.155762896076 Henry Cohn, 2025, needs more optimization.
20 127 0.156183354680 Henry Cohn, 2025, needs more optimization.
20 128 0.156314547917 Henry Cohn, 2025, needs more optimization.
20 129 0.156361724459 Henry Cohn, 2025, needs more optimization.
20 137 0.156470505603 Henry Cohn, 2025, needs more optimization.
20 140 0.157142767780 Henry Cohn, 2025, needs more optimization.
20 141 0.157502608513 Henry Cohn, 2025, 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
20 178 0.191919191920 Orthogonal union of 176 points in 19 dimensions and 2 points in 1 dimension.
99⁢x−19
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, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
5⁢x−1
20 260 0.208391457240 Henry Cohn, 2025, needs more optimization.
20 262 0.208391875171 Henry Cohn, 2025, needs more optimization.
20 264 0.208866061541 Henry Cohn, 2025, needs more optimization.
20 294 0.220695461526 Henry Cohn, 2024, 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
20 473 0.266666666667 Henry Cohn, 2025.
15⁢x−4
20 474 0.270064445629 Henry Cohn, 2025, needs more optimization.
20 475 0.271397110650 Henry Cohn, 2025, needs more optimization.
20 476 0.272641370565 Henry Cohn, 2025, needs more optimization.
20 477 0.273518534414 Henry Cohn, 2025, needs more optimization.
20 478 0.274406682216 Henry Cohn, 2025, needs more optimization.
20 479 0.275200367871 Henry Cohn, 2025, needs more optimization.
20 480 0.275981177826 Henry Cohn, 2025, needs more optimization.
20 481 0.276615728236 Henry Cohn, 2025, needs more optimization.
20 482 0.277342357213 Henry Cohn, 2025, needs more optimization.
20 483 0.278137608095 Henry Cohn, 2025, needs more optimization.
20 484 0.279660829613 Henry Cohn, 2025, needs more optimization.
20 485 0.280380177558 Henry Cohn, 2025, needs more optimization.
20 486 0.281055065387 Henry Cohn, 2025, needs more optimization.
20 487 0.281524005385 Henry Cohn, 2025, needs more optimization.
20 488 0.282015071425 Henry Cohn, 2025, needs more optimization.
20 489 0.282560447554 Henry Cohn, 2025, needs more optimization.
20 490 0.283025579921 Henry Cohn, 2025, needs more optimization.
20 491 0.283142360390 Henry Cohn, 2025, needs more optimization.
20 492 0.284049082909 Henry Cohn, 2025, needs more optimization.
20 493 0.284892593765 Henry Cohn, 2025, needs more optimization.
20 494 0.285666335722 Henry Cohn, 2025, needs more optimization.
20 495 0.287134512776 Henry Cohn, 2025, needs more optimization.
20 578 0.304347826087 Orthogonal union of 576 points in 19 dimensions and 2 points in 1 dimension.
23⁢x−7
20 579 0.310405864088 Henry Cohn, 2025, needs more optimization.
20 589 0.310411518155 Henry Cohn, 2025, needs more optimization.
20 610 0.310415837767 Henry Cohn, 2025, needs more optimization.
20 611 0.310421747501 Henry Cohn, 2025, needs more optimization.
20 613 0.310424963282 Henry Cohn, 2025, needs more optimization.
20 620 0.310425883833 Henry Cohn, 2025, needs more optimization.
20 627 0.310426049309 Henry Cohn, 2025, needs more optimization.
20 652 0.310426963124 Henry Cohn, 2025, needs more optimization.
20 661 0.310430678873 Henry Cohn, 2025, needs more optimization.
20 662 0.310443204448 Henry Cohn, 2025, needs more optimization.
20 663 0.310444184828 Henry Cohn, 2025, 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 1024 0.333333333334 Subcode of a code of size 1280 from T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
3⁢x−1
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 0.062643510087 Henry Cohn, 2023.
21 58 0.066666666667 Code with 56 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.
15⁢x−1
21 62 0.076923076924 Orthogonal union of 60 points in 20 dimensions and 2 points in 1 dimension.
13⁢x−1
21 65 0.081967213115 Code with 63 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.
61⁢x−5
21 77* 0.083333333334 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.
12⁢x−1
21 83 0.1 Orthogonal union of 81 points in 20 dimensions and 2 points in 1 dimension.
10⁢x−1
21 84 0.108156258744 Henry Cohn, 2025, needs more optimization.
21 85 0.108365908122 Henry Cohn, 2025, needs more optimization.
21 86 0.108667232028 Henry Cohn, 2025, needs more optimization.
21 87 0.108696266790 Henry Cohn, 2024, needs more optimization.
21 88 0.109435131680 Henry Cohn, 2025, needs more optimization.
21 89 0.109525861731 Henry Cohn, 2025, 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
21 119 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
21 162* 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
21 198 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
21 210 0.189189189190 Kissing configuration of 529 points in 22 dimensions from T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
37⁢x−7
21 225 0.189189189190 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.
37⁢x−7
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
21 336 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
21 380 0.236363636364 Orthogonal union of 378 points in 20 dimensions and 2 points in 1 dimension.
55⁢x−13
21 554 0.238095238096 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
21⁢x−5
21 660 0.266666666667 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
15⁢x−4
21 716 0.272727272728 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
11⁢x−3
21 1024 0.311475409837 Henry Cohn, 2025.
61⁢x−19
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 0.041709069258 Henry Cohn, 2024.
22 47 0.047557256427 Henry Cohn, 2025.
22 48 0.047607868430 Henry Cohn, 2025.
22 52 0.047619047620 Code with 50 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.
21⁢x−1
22 53 0.057560345703 Henry Cohn, 2024.
22 54 0.060109536347 Henry Cohn, 2024.
22 55 0.064389502899 Henry Cohn, 2024.
22 56 0.066665131058 Henry Cohn, 2024, needs more optimization.
22 57 0.066665224778 Henry Cohn, 2024, needs more optimization.
22 58 0.066665292935 Henry Cohn, 2024, needs more optimization.
22 59 0.066665386858 Henry Cohn, 2024, needs more optimization.
22 60 0.066665425579 Henry Cohn, 2024, needs more optimization.
22 61 0.076913304860 Henry Cohn, 2024, needs more optimization.
22 62 0.076920313939 Henry Cohn, 2024, needs more optimization.
22 63 0.076920526653 Henry Cohn, 2023, needs more optimization.
22 64 0.076921636641 Henry Cohn, 2024, needs more optimization.
22 65 0.081899203124 Henry Cohn, 2024, needs more optimization.
22 66 0.081899399455 Henry Cohn, 2024, needs more optimization.
22 67 0.081899643727 Henry Cohn, 2024, 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
22 100* 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
22 114 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
22 121 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
22 136 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
22 164 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
22 200 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
22 275* 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
22 338 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
22 429 0.209819211401 Henry Cohn, 2025, needs more optimization.
22 430 0.217136828836 Henry Cohn, 2025, needs more optimization.
22 432 0.223984279075 Henry Cohn, 2025, needs more optimization.
22 441 0.229654158099 Henry Cohn, 2025, needs more optimization.
22 443 0.229654310526 Henry Cohn, 2025, needs more optimization.
22 472 0.229654470634 Henry Cohn, 2025, needs more optimization.
22 473 0.229655426586 Henry Cohn, 2025, needs more optimization.
22 505 0.229927684818 Henry Cohn, 2025, needs more optimization.
22 506 0.232142857143 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
56⁢x−13
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
22 891* 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 Subcode of a code of size 1068 from T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
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 0.047348367640 Henry Cohn, 2025.
23 50 0.047356448114 Henry Cohn, 2024.
23 51 0.047573587723 Henry Cohn, 2024, needs more optimization.
23 52 0.047591637534 Henry Cohn, 2024, needs more optimization.
23 53 0.047609748527 Henry Cohn, 2024, needs more optimization.
23 54 0.047609798559 Henry Cohn, 2024, needs more optimization.
23 55 0.055674420072 Henry Cohn, 2024.
23 56 0.058003088304 Henry Cohn, 2024.
23 57 0.061665368248 Henry Cohn, 2025, needs more optimization.
23 58 0.064704446573 Henry Cohn, 2025.
23 59 0.066599568077 Henry Cohn, 2024, needs more optimization.
23 60 0.066599747021 Henry Cohn, 2024, needs more optimization.
23 61 0.066599790838 Henry Cohn, 2024, needs more optimization.
23 62 0.066599803571 Henry Cohn, 2024, needs more optimization.
23 63 0.076569485107 Henry Cohn, 2024, needs more optimization.
23 64 0.076843203970 Henry Cohn, 2024, needs more optimization.
23 65 0.076920526653 Orthogonal union of 63 points in 22 dimensions and 2 points in 1 dimension.
23 66 0.076921399534 Henry Cohn, 2024, needs more optimization.
23 67 0.076939011283 Henry Cohn, 2025, needs more optimization.
23 68 0.076939025073 Henry Cohn, 2025, needs more optimization.
23 70 0.077992965533 Henry Cohn, 2025, needs more optimization.
23 71 0.079679048445 Henry Cohn, 2025, needs more optimization.
23 81 0.083333333334 Code with 79 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.
12⁢x−1
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
23 116 0.111111111112 Code with 114 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.
9⁢x−1
23 123 0.131782945737 Code with 121 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.
129⁢x−17
23 127 0.131811958139 Henry Cohn, 2025, needs more optimization.
23 128 0.131814684853 Henry Cohn, 2025, 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
23 166 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
23 202 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
23 277 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
23 552* 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
23 558 0.238095238096 Orthogonal union of 554 points in 21 dimensions and 4 points in 2 dimensions.
21⁢x−5
23 893 0.25 Orthogonal union of 891 points in 22 dimensions and 2 points in 1 dimension.
4⁢x−1
23 1024 0.272727272728 Code with 1024 points in 22 dimensions.
11⁢x−3
23 4600* 0.333333333334 P. Delsarte, J. M. Goethals, and J. J. Seidel, Spherical codes and designs, Geometriae Dedicata 6 (1977), 363–388, doi:10.1007/bf03187604; V. I. Levenšteĭn, On bounds for packings in n-dimensional Euclidean space (Russian), Dokl. Akad. Nauk SSSR 245 (1979), 1299–1303, English translation in Soviet Math. Dokl. 20 (1979), 417–421.
3⁢x−1
24 49 0.032924519945 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
11616⁢x3−576⁢x2−24⁢x+1
24 50 0.038461538462 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
26⁢x−1
24 51 0.046482394273 Henry Cohn, 2024.
24 52 0.046700054105 Henry Cohn, 2023.
24 53 0.046732253170 Henry Cohn, 2025.
24 54 0.047334654597 Henry Cohn, 2024.
24 55 0.047381601960 Henry Cohn, 2024.
24 56 0.047563043071 Henry Cohn, 2024, needs more optimization.
24 57 0.053585918417 Henry Cohn, 2024.
24 58 0.057420015167 Henry Cohn, 2024.
24 59 0.061115728362 Henry Cohn, 2024.
24 60 0.062898409960 Henry Cohn, 2024.
24 61 0.064831690389 Henry Cohn, 2025, needs more optimization.
24 62 0.066038108888 Henry Cohn, 2024, needs more optimization.
24 63 0.066050514760 Henry Cohn, 2024, needs more optimization.
24 64 0.066069169133 Henry Cohn, 2024, needs more optimization.
24 65 0.073069612690 Henry Cohn, 2025, needs more optimization.
24 66 0.073071259450 Henry Cohn, 2025, needs more optimization.
24 67 0.073268268670 Henry Cohn, 2025, needs more optimization.
24 68 0.075121089829 Henry Cohn, 2025, needs more optimization.
24 69 0.076906322514 Henry Cohn, 2025, needs more optimization.
24 70 0.076939025073 Orthogonal union of 68 points in 23 dimensions and 2 points in 1 dimension.
24 71 0.076993333351 Henry Cohn, 2025, needs more optimization.
24 72 0.077992817623 Henry Cohn, 2025, needs more optimization.
24 73 0.079679048445 Orthogonal union of 71 points in 23 dimensions and 2 points in 1 dimension.
24 74 0.081583321534 Henry Cohn, 2025, needs more optimization.
24 75 0.082004059623 Henry Cohn, 2025, needs more optimization.
24 76 0.083320095951 Henry Cohn, 2024, needs more optimization.
24 79 0.083320127741 Henry Cohn, 2024, needs more optimization.
24 81 0.083320171859 Henry Cohn, 2024, needs more optimization.
24 82 0.083320227319 Henry Cohn, 2024, needs more optimization.
24 83 0.083320245711 Henry Cohn, 2024, needs more optimization.
24 84 0.083349446487 Henry Cohn, 2025, needs more optimization.
24 85 0.083357792808 Henry Cohn, 2025, needs more optimization.
24 86 0.087986006058 Henry Cohn, 2025, needs more optimization.
24 104 0.090909090910 Code with 102 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.
11⁢x−1
24 118 0.111111111112 Code with 116 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.
9⁢x−1
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
24 128 0.131797252628 Henry Cohn, 2025, needs more optimization.
24 129 0.131811958139 Orthogonal union of 127 points in 23 dimensions and 2 points in 1 dimension.
24 130 0.131813471987 Henry Cohn, 2025, needs more optimization.
24 140 0.135135135136 Code with 138 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.
37⁢x−5
24 150 0.137931034483 T. Ericson and V. Zinoviev, Codes on Euclidean spheres, North-Holland Mathematical Library 63, North-Holland Publishing Co., Amsterdam, 2001.
29⁢x−4
24 168 0.142857142858 Code with 166 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.
7⁢x−1
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
24 279 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
24 297 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
24 330 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
24 561 0.238095238096 Orthogonal union of 554 points in 21 dimensions and 7 points in 3 dimensions.
21⁢x−5
24 895 0.25 Orthogonal union of 891 points in 22 dimensions and 4 points in 2 dimensions.
4⁢x−1
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 0.037068470388 Henry Cohn, 2024.
25 53 0.045305381447 Henry Cohn, 2025, needs more optimization.
25 54 0.045671054769 Henry Cohn, 2025.
25 55 0.046293915744 Henry Cohn, 2025.
25 56 0.046433703861 Henry Cohn, 2025, needs more optimization.
25 57 0.046863894921 Henry Cohn, 2025.
25 58 0.046863921001 Henry Cohn, 2024.
25 59 0.051394584232 Henry Cohn, 2024.
25 60 0.054819497939 Henry Cohn, 2024, needs more optimization.
25 61 0.057385203477 Henry Cohn, 2025, needs more optimization.
25 62 0.060834800804 Henry Cohn, 2024.
25 63 0.062539270718 Henry Cohn, 2024, needs more optimization.
25 64 0.064572924929 Henry Cohn, 2025, needs more optimization.
25 65 0.065379647303 Henry Cohn, 2024, needs more optimization.
25 66 0.065382268725 Henry Cohn, 2024, needs more optimization.
25 67 0.070726002781 Henry Cohn, 2025, needs more optimization.
25 68 0.072112007677 Henry Cohn, 2025, needs more optimization.
25 69 0.072240953075 Henry Cohn, 2025, needs more optimization.
25 70 0.073442854938 Henry Cohn, 2025, needs more optimization.
25 71 0.073838675938 Henry Cohn, 2025, needs more optimization.
25 72 0.076939025073 Orthogonal union of 68 points in 23 dimensions and 4 points in 2 dimensions.
25 73 0.076993333351 Orthogonal union of 71 points in 24 dimensions and 2 points in 1 dimension.
25 74 0.077991739214 Henry Cohn, 2025, needs more optimization.
25 75 0.079679048445 Orthogonal union of 71 points in 23 dimensions and 4 points in 2 dimensions.
25 76 0.080720981755 Henry Cohn, 2025, needs more optimization.
25 77 0.081370601216 Henry Cohn, 2025, needs more optimization.
25 78 0.082587997851 Henry Cohn, 2025, needs more optimization.
25 79 0.082904279680 Henry Cohn, 2025, needs more optimization.
25 80 0.083277480936 Henry Cohn, 2024, needs more optimization.
25 82 0.083277588099 Henry Cohn, 2024, needs more optimization.
25 83 0.083277708963 Henry Cohn, 2024, needs more optimization.
25 84 0.083277726862 Henry Cohn, 2024, needs more optimization.
25 85 0.083277816799 Henry Cohn, 2024, needs more optimization.
25 86 0.083346770687 Henry Cohn, 2025, needs more optimization.
25 87 0.083352016328 Henry Cohn, 2025, needs more optimization.
25 88 0.083358400773 Henry Cohn, 2025, needs more optimization.
25 89 0.085408294484 Henry Cohn, 2025, needs more optimization.
25 90 0.087591920524 Henry Cohn, 2025, needs more optimization.
25 91 0.089712226886 Henry Cohn, 2025, needs more optimization.
25 92 0.090713979768 Henry Cohn, 2025, needs more optimization.
25 106 0.090909090910 Orthogonal union of 100 points in 22 dimensions and 6 points in 3 dimensions.
11⁢x−1
25 107 0.090955234236 Henry Cohn, 2025, needs more optimization.
25 120 0.111111111112 Orthogonal union of 112 points in 21 dimensions and 8 points in 4 dimensions.
9⁢x−1
25 127 0.122807017544 Orthogonal union of 125 points in 24 dimensions and 2 points in 1 dimension.
57⁢x−7
25 128 0.129301455538 Henry Cohn, 2025, needs more optimization.
25 129 0.129771049192 Henry Cohn, 2025, needs more optimization.
25 130 0.131638002402 Henry Cohn, 2025, needs more optimization.
25 131 0.131811958139 Orthogonal union of 127 points in 23 dimensions and 4 points in 2 dimensions.
25 132 0.131813019972 Henry Cohn, 2025, 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
25 170 0.142857142858 Orthogonal union of 162 points in 21 dimensions and 8 points in 4 dimensions.
7⁢x−1
25 172 0.151541836049 Henry Cohn, 2025, needs more optimization.
25 173 0.151551757363 Henry Cohn, 2025, needs more optimization.
25 174 0.151560430796 Henry Cohn, 2025, needs more optimization.
25 175 0.151562795648 Henry Cohn, 2025, needs more optimization.
25 176 0.151618264338 Henry Cohn, 2025, needs more optimization.
25 177 0.151628069244 Henry Cohn, 2025, needs more optimization.
25 178 0.152456701618 Henry Cohn, 2025, needs more optimization.
25 179 0.158889380806 Henry Cohn, 2025, needs more optimization.
25 180 0.159571878803 Henry Cohn, 2025, needs more optimization.
25 181 0.160339710645 Henry Cohn, 2025, needs more optimization.
25 182 0.160343202776 Henry Cohn, 2025, needs more optimization.
25 183 0.160424840082 Henry Cohn, 2025, needs more optimization.
25 184 0.160464277650 Henry Cohn, 2025, needs more optimization.
25 185 0.161401998962 Henry Cohn, 2025, needs more optimization.
25 189 0.161408151135 Henry Cohn, 2025, needs more optimization.
25 190 0.161487680923 Henry Cohn, 2025, needs more optimization.
25 206 0.161890055666 Henry Cohn, 2025, needs more optimization.
25 207 0.162015199612 Orthogonal union of 198 points in 21 dimensions and 9 points in 4 dimensions.
16⁢x3−16⁢x2−4⁢x+1
25 281 0.166666666667 Orthogonal union of 275 points in 22 dimensions and 6 points in 3 dimensions.
6⁢x−1
25 299 0.181818181819 Orthogonal union of 297 points in 24 dimensions and 2 points in 1 dimension.
11⁢x−2
25 332 0.193548387097 Orthogonal union of 330 points in 24 dimensions and 2 points in 1 dimension.
31⁢x−6
25 556 0.2 Orthogonal union of 552 points in 23 dimensions and 4 points in 2 dimensions.
5⁢x−1
25 565 0.238095238096 Orthogonal union of 554 points in 21 dimensions and 11 points in 4 dimensions.
21⁢x−5
25 898 0.25 Orthogonal union of 891 points in 22 dimensions and 7 points in 3 dimensions.
4⁢x−1
25 899 0.250297880883 Henry Cohn, 2025, 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 0.035747988474 Henry Cohn, 2024.
26 55 0.044778403793 Henry Cohn, 2025.
26 56 0.045390664046 Henry Cohn, 2025.
26 57 0.045448993142 Henry Cohn, 2024.
26 58 0.045550434603 Henry Cohn, 2024.
26 59 0.046163974402 Henry Cohn, 2025.
26 60 0.046618911314 Henry Cohn, 2023, needs more optimization.
26 61 0.049729285419 Henry Cohn, 2025.
26 62 0.054364580942 Henry Cohn, 2024.
26 63 0.056595940262 Henry Cohn, 2025.
26 64 0.058813887790 Henry Cohn, 2024.
26 65 0.060920226978 Henry Cohn, 2024, needs more optimization.
26 66 0.062409517127 Henry Cohn, 2024, needs more optimization.
26 67 0.064018374406 Henry Cohn, 2025, needs more optimization.
26 68 0.064827949421 Henry Cohn, 2025, needs more optimization.
26 69 0.067844754094 Henry Cohn, 2025, needs more optimization.
26 70 0.069609814420 Henry Cohn, 2025, needs more optimization.
26 71 0.071406776216 Henry Cohn, 2024, needs more optimization.
26 72 0.072110617598 Henry Cohn, 2025, needs more optimization.
26 73 0.072245598094 Henry Cohn, 2025, needs more optimization.
26 74 0.076283300487 Henry Cohn, 2024, needs more optimization.
26 75 0.076992239600 Henry Cohn, 2025, needs more optimization.
26 76 0.077991668739 Henry Cohn, 2025, needs more optimization.
26 77 0.078852183522 Henry Cohn, 2025, needs more optimization.
26 78 0.079373229674 Henry Cohn, 2025, needs more optimization.
26 79 0.080130349169 Henry Cohn, 2025, needs more optimization.
26 80 0.080937230505 Henry Cohn, 2025, needs more optimization.
26 81 0.081292860925 Henry Cohn, 2025, needs more optimization.
26 82 0.082851232759 Henry Cohn, 2025, needs more optimization.
26 83 0.082871143742 Henry Cohn, 2025, needs more optimization.
26 84 0.082901568092 Henry Cohn, 2025, needs more optimization.
26 85 0.083142238408 Henry Cohn, 2024, needs more optimization.
26 86 0.083142598753 Henry Cohn, 2024, needs more optimization.
26 87 0.083142622967 Henry Cohn, 2025, needs more optimization.
26 88 0.083287342988 Henry Cohn, 2025, needs more optimization.
26 89 0.083296865905 Henry Cohn, 2025, needs more optimization.
26 90 0.083351719027 Henry Cohn, 2025, needs more optimization.
26 91 0.083352771659 Henry Cohn, 2025, needs more optimization.
26 92 0.084668548277 Henry Cohn, 2025, needs more optimization.
26 93 0.085983235484 Henry Cohn, 2025, needs more optimization.
26 94 0.087850657598 Henry Cohn, 2025, needs more optimization.
26 96 0.089392294410 Henry Cohn, 2025, needs more optimization.
26 97 0.089907449562 Henry Cohn, 2025, needs more optimization.
26 108 0.090909090910 Orthogonal union of 100 points in 22 dimensions and 8 points in 4 dimensions.
11⁢x−1
26 109 0.090919960401 Henry Cohn, 2024, needs more optimization.
26 110 0.109233650319 Henry Cohn, 2025, needs more optimization.
26 111 0.109404606619 Henry Cohn, 2025, needs more optimization.
26 114 0.110635703355 Henry Cohn, 2025, needs more optimization.
26 115 0.110734416478 Henry Cohn, 2025, needs more optimization.
26 116 0.110927574714 Henry Cohn, 2025, needs more optimization.
26 120 0.111080526558 Henry Cohn, 2025, needs more optimization.
26 122 0.111111111112 Orthogonal union of 112 points in 21 dimensions and 10 points in 5 dimensions.
9⁢x−1
26 123 0.122380641577 Henry Cohn, 2025, needs more optimization.
26 125 0.122549153581 Henry Cohn, 2025, needs more optimization.
26 126 0.122634286656 Henry Cohn, 2025, needs more optimization.
26 127 0.122735984975 Henry Cohn, 2025, needs more optimization.
26 129 0.122807017544 Orthogonal union of 125 points in 24 dimensions and 4 points in 2 dimensions.
57⁢x−7
26 130 0.128546625647 Henry Cohn, 2025, needs more optimization.
26 131 0.129612907970 Henry Cohn, 2025, needs more optimization.
26 132 0.130349521362 Henry Cohn, 2025, needs more optimization.
26 133 0.131477352925 Henry Cohn, 2025, needs more optimization.
26 134 0.131813019972 Orthogonal union of 132 points in 25 dimensions and 2 points in 1 dimension.
26 158 0.133333333334 Orthogonal union of 156 points in 25 dimensions and 2 points in 1 dimension.
15⁢x−2
26 173 0.142857142858 Orthogonal union of 162 points in 21 dimensions and 11 points in 5 dimensions.
7⁢x−1
26 175 0.142865515653 Henry Cohn, 2025, needs more optimization.
26 179 0.142870737453 Henry Cohn, 2025, needs more optimization.
26 180 0.142880584597 Henry Cohn, 2025, needs more optimization.
26 181 0.142889020128 Henry Cohn, 2025, needs more optimization.
26 182 0.143041214778 Henry Cohn, 2025, needs more optimization.
26 183 0.143047558259 Henry Cohn, 2025, needs more optimization.
26 184 0.143066742866 Henry Cohn, 2025, needs more optimization.
26 185 0.143076777652 Henry Cohn, 2025, needs more optimization.
26 186 0.144391239474 Henry Cohn, 2025, needs more optimization.
26 187 0.145474158439 Henry Cohn, 2025, needs more optimization.
26 188 0.145506704168 Henry Cohn, 2025, needs more optimization.
26 189 0.147169246531 Henry Cohn, 2025, needs more optimization.
26 190 0.148209442551 Henry Cohn, 2025, needs more optimization.
26 192 0.159844487057 Henry Cohn, 2025, needs more optimization.
26 193 0.159871124425 Henry Cohn, 2025, needs more optimization.
26 194 0.160258827647 Henry Cohn, 2025, needs more optimization.
26 195 0.160275186412 Henry Cohn, 2025, needs more optimization.
26 196 0.160295378881 Henry Cohn, 2025, needs more optimization.
26 198 0.160653500747 Henry Cohn, 2025, needs more optimization.
26 199 0.160676331558 Henry Cohn, 2025, needs more optimization.
26 200 0.161121523405 Henry Cohn, 2025, needs more optimization.
26 201 0.161719468940 Henry Cohn, 2025, needs more optimization.
26 208 0.161723382237 Henry Cohn, 2025, needs more optimization.
26 210 0.161904761905 Orthogonal union of 198 points in 21 dimensions and 12 points in 5 dimensions.
105⁢x−17
26 285 0.166666666667 Orthogonal union of 275 points in 22 dimensions and 10 points in 4 dimensions.
6⁢x−1
26 301 0.181818181819 Orthogonal union of 297 points in 24 dimensions and 4 points in 2 dimensions.
11⁢x−2
26 334 0.193548387097 Orthogonal union of 330 points in 24 dimensions and 4 points in 2 dimensions.
31⁢x−6
26 558 0.2 Orthogonal union of 552 points in 23 dimensions and 6 points in 3 dimensions.
5⁢x−1
26 559 0.200082443490 Henry Cohn, 2025, needs more optimization.
26 570 0.238095238096 Orthogonal union of 554 points in 21 dimensions and 16 points in 5 dimensions.
21⁢x−5
26 903 0.25 Orthogonal union of 891 points in 22 dimensions and 12 points in 4 dimensions.
4⁢x−1
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 0.043679995742 Henry Cohn, 2024.
27 58 0.045164767019 Henry Cohn, 2024, needs more optimization.
27 59 0.045448993142 Orthogonal union of 57 points in 26 dimensions and 2 points in 1 dimension.
27 60 0.045477973897 Henry Cohn, 2024, needs more optimization.
27 61 0.045484387668 Henry Cohn, 2024, needs more optimization.
27 62 0.046198040622 Henry Cohn, 2025.
27 63 0.048347310398 Henry Cohn, 2024.
27 64 0.053101886328 Henry Cohn, 2024.
27 65 0.055852334622 Henry Cohn, 2025.
27 66 0.057595208167 Henry Cohn, 2024, needs more optimization.
27 67 0.058729834319 Henry Cohn, 2025, needs more optimization.
27 68 0.060630177601 Henry Cohn, 2024.
27 69 0.062032560039 Henry Cohn, 2025, needs more optimization.
27 70 0.063788626296 Henry Cohn, 2024, needs more optimization.
27 71 0.065653971276 Henry Cohn, 2025, needs more optimization.
27 72 0.067307262976 Henry Cohn, 2025, needs more optimization.
27 73 0.068714994098 Henry Cohn, 2025, needs more optimization.
27 74 0.070466259239 Henry Cohn, 2024, needs more optimization.
27 75 0.071918676628 Henry Cohn, 2025, needs more optimization.
27 76 0.073241051560 Henry Cohn, 2024, needs more optimization.
27 77 0.074846390601 Henry Cohn, 2024, needs more optimization.
27 78 0.076287127570 Henry Cohn, 2024, needs more optimization.
27 79 0.076633745126 Henry Cohn, 2025, needs more optimization.
27 80 0.077562542574 Henry Cohn, 2025, needs more optimization.
27 81 0.078498726182 Henry Cohn, 2025, needs more optimization.
27 82 0.079375989012 Henry Cohn, 2025, needs more optimization.
27 83 0.080339302669 Henry Cohn, 2025, needs more optimization.
27 84 0.080965429547 Henry Cohn, 2025, needs more optimization.
27 85 0.081366176447 Henry Cohn, 2025, needs more optimization.
27 86 0.082072574279 Henry Cohn, 2025, needs more optimization.
27 87 0.082075263739 Henry Cohn, 2024, needs more optimization.
27 88 0.082075884734 Henry Cohn, 2025, needs more optimization.
27 89 0.082076094696 Henry Cohn, 2025, needs more optimization.
27 90 0.083085403257 Henry Cohn, 2025, needs more optimization.
27 91 0.083149337198 Henry Cohn, 2025, needs more optimization.
27 92 0.083192915076 Henry Cohn, 2025, needs more optimization.
27 93 0.083240625195 Henry Cohn, 2025, needs more optimization.
27 94 0.083269688456 Henry Cohn, 2025, needs more optimization.
27 95 0.083875064307 Henry Cohn, 2025, needs more optimization.
27 96 0.084749729061 Henry Cohn, 2025, needs more optimization.
27 97 0.085663190220 Henry Cohn, 2025, needs more optimization.
27 99 0.087740085608 Henry Cohn, 2025, needs more optimization.
27 100 0.089183353958 Henry Cohn, 2025, needs more optimization.
27 101 0.089284624014 Henry Cohn, 2025, needs more optimization.
27 102 0.090870451966 Henry Cohn, 2025, needs more optimization.
27 103 0.090870453388 Henry Cohn, 2025, needs more optimization.
27 104 0.090870529146 Henry Cohn, 2025, needs more optimization.
27 110 0.090870650464 Henry Cohn, 2024, needs more optimization.
27 111 0.090919960401 Orthogonal union of 109 points in 26 dimensions and 2 points in 1 dimension.
27 112 0.105086342679 Henry Cohn, 2025, needs more optimization.
27 113 0.106590434122 Henry Cohn, 2025, needs more optimization.
27 114 0.106859265224 Henry Cohn, 2025, needs more optimization.
27 115 0.108084048446 Henry Cohn, 2025, needs more optimization.
27 116 0.108631236182 Henry Cohn, 2025, needs more optimization.
27 117 0.109592660753 Henry Cohn, 2025, needs more optimization.
27 118 0.109616066802 Henry Cohn, 2025, needs more optimization.
27 120 0.109981523501 Henry Cohn, 2025, needs more optimization.
27 121 0.110613098077 Henry Cohn, 2025, needs more optimization.
27 122 0.110661205420 Henry Cohn, 2025, needs more optimization.
27 123 0.110666903117 Henry Cohn, 2025, needs more optimization.
27 124 0.110676501934 Henry Cohn, 2025, needs more optimization.
27 125 0.110738403259 Henry Cohn, 2025, needs more optimization.
27 126 0.118645202550 Henry Cohn, 2025, needs more optimization.
27 127 0.119330436809 Henry Cohn, 2025, needs more optimization.
27 128 0.120370013001 Henry Cohn, 2025, needs more optimization.
27 129 0.121083422549 Henry Cohn, 2025, needs more optimization.
27 130 0.121756115710 Henry Cohn, 2025, needs more optimization.
27 131 0.122507325741 Henry Cohn, 2025, needs more optimization.
27 132 0.123341332134 Henry Cohn, 2025, needs more optimization.
27 133 0.124180206035 Henry Cohn, 2025, needs more optimization.
27 134 0.125161827406 Henry Cohn, 2025, needs more optimization.
27 135 0.125957060655 Henry Cohn, 2025, needs more optimization.
27 136 0.126751078791 Henry Cohn, 2025, needs more optimization.
27 137 0.127648762298 Henry Cohn, 2025, needs more optimization.
27 138 0.128322059068 Henry Cohn, 2025, needs more optimization.
27 139 0.129396254172 Henry Cohn, 2025, needs more optimization.
27 140 0.130026588676 Henry Cohn, 2025, needs more optimization.
27 141 0.130410802050 Henry Cohn, 2025, needs more optimization.
27 142 0.130723950223 Henry Cohn, 2025, needs more optimization.
27 143 0.130729698400 Henry Cohn, 2025, needs more optimization.
27 144 0.131520135873 Henry Cohn, 2025, needs more optimization.
27 145 0.131529950528 Henry Cohn, 2025, needs more optimization.
27 146 0.131567519009 Henry Cohn, 2025, needs more optimization.
27 147 0.132446074195 Henry Cohn, 2025, needs more optimization.
27 148 0.132530690111 Henry Cohn, 2025, needs more optimization.
27 150 0.132834409706 Henry Cohn, 2025, needs more optimization.
27 160 0.133282008372 Henry Cohn, 2024, needs more optimization.
27 161 0.140494764823 Henry Cohn, 2025, needs more optimization.
27 163 0.141148441604 Henry Cohn, 2025, needs more optimization.
27 164 0.141416016013 Henry Cohn, 2025, needs more optimization.
27 165 0.142275589977 Henry Cohn, 2025, needs more optimization.
27 166 0.142369190244 Henry Cohn, 2025, needs more optimization.
27 168 0.142378981910 Henry Cohn, 2025, needs more optimization.
27 169 0.142407076357 Henry Cohn, 2025, needs more optimization.
27 170 0.142455782999 Henry Cohn, 2025, needs more optimization.
27 172 0.142475084039 Henry Cohn, 2025, needs more optimization.
27 173 0.142502297925 Henry Cohn, 2025, needs more optimization.
27 174 0.142518829141 Henry Cohn, 2025, needs more optimization.
27 175 0.142534786122 Henry Cohn, 2025, needs more optimization.
27 177 0.142596558707 Henry Cohn, 2025, needs more optimization.
27 178 0.142619835806 Henry Cohn, 2025, needs more optimization.
27 179 0.142807812779 Henry Cohn, 2025, needs more optimization.
27 180 0.142810538538 Henry Cohn, 2025, needs more optimization.
27 181 0.142810756836 Henry Cohn, 2025, needs more optimization.
27 182 0.142813991512 Henry Cohn, 2025, needs more optimization.
27 183 0.142831132509 Henry Cohn, 2025, needs more optimization.
27 184 0.142835704961 Henry Cohn, 2025, needs more optimization.
27 186 0.142840450338 Henry Cohn, 2025, needs more optimization.
27 187 0.142842320827 Henry Cohn, 2025, needs more optimization.
27 188 0.142844358989 Henry Cohn, 2025, needs more optimization.
27 189 0.142854821436 Henry Cohn, 2025, needs more optimization.
27 190 0.142856032787 Henry Cohn, 2025, needs more optimization.
27 191 0.142955023545 Henry Cohn, 2025, needs more optimization.
27 192 0.143142376160 Henry Cohn, 2025, needs more optimization.
27 193 0.143508909682 Henry Cohn, 2025, needs more optimization.
27 194 0.144178716475 Henry Cohn, 2025, needs more optimization.
27 195 0.145606632692 Henry Cohn, 2025, needs more optimization.
27 196 0.147036116683 Henry Cohn, 2025, needs more optimization.
27 197 0.147669613619 Henry Cohn, 2025, needs more optimization.
27 198 0.147697916708 Henry Cohn, 2025, needs more optimization.
27 199 0.148802396442 Henry Cohn, 2025, needs more optimization.
27 200 0.150229055100 Henry Cohn, 2025, needs more optimization.
27 201 0.158544216066 Henry Cohn, 2025, needs more optimization.
27 202 0.158822775962 Henry Cohn, 2025, needs more optimization.
27 203 0.158902955916 Henry Cohn, 2025, needs more optimization.
27 204 0.159486803690 Henry Cohn, 2025, needs more optimization.
27 205 0.159535754148 Henry Cohn, 2025, needs more optimization.
27 206 0.159727604430 Henry Cohn, 2025, needs more optimization.
27 207 0.159901674921 Henry Cohn, 2025, needs more optimization.
27 208 0.160264427559 Henry Cohn, 2025, needs more optimization.
27 209 0.160706622752 Henry Cohn, 2025, needs more optimization.
27 210 0.160708083357 Henry Cohn, 2025, needs more optimization.
27 211 0.160794017739 Henry Cohn, 2025, needs more optimization.
27 212 0.160846902093 Henry Cohn, 2025, needs more optimization.
27 213 0.160923045731 Henry Cohn, 2025, needs more optimization.
27 287 0.166666666667 Orthogonal union of 275 points in 22 dimensions and 12 points in 5 dimensions.
6⁢x−1
27 303 0.181818181819 Orthogonal union of 297 points in 24 dimensions and 6 points in 3 dimensions.
11⁢x−2
27 336 0.193548387097 Orthogonal union of 330 points in 24 dimensions and 6 points in 3 dimensions.
31⁢x−6
27 562 0.2 Orthogonal union of 552 points in 23 dimensions and 10 points in 4 dimensions.
5⁢x−1
27 563 0.200124078017 Henry Cohn, 2025, needs more optimization.
27 574 0.238095238096 Orthogonal union of 554 points in 21 dimensions and 20 points in 6 dimensions.
21⁢x−5
27 575 0.238190251949 Henry Cohn, 2025, needs more optimization.
27 576 0.238219633008 Henry Cohn, 2025, 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 0.250197582285 Henry Cohn, 2025, needs more optimization.
27 1024 0.272727272728 Code with 1024 points in 22 dimensions.
11⁢x−3
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 0.033360604943 Henry Cohn, 2024.
28 59 0.042130667237 Henry Cohn, 2024.
28 60 0.044239015217 Henry Cohn, 2025, needs more optimization.
28 61 0.044427604359 Henry Cohn, 2024, needs more optimization.
28 62 0.044625901428 Henry Cohn, 2024, needs more optimization.
28 63 0.045182176447 Henry Cohn, 2025.
28 64 0.045901657151 Henry Cohn, 2024, needs more optimization.
28 65 0.047212452650 Henry Cohn, 2024, needs more optimization.
28 66 0.051595142120 Henry Cohn, 2024, needs more optimization.
28 67 0.053745231353 Henry Cohn, 2024, needs more optimization.
28 68 0.055390702742 Henry Cohn, 2024, needs more optimization.
28 69 0.057319064203 Henry Cohn, 2024, needs more optimization.
28 70 0.058669312117 Henry Cohn, 2024, needs more optimization.
28 71 0.060083546373 Henry Cohn, 2025, needs more optimization.
28 72 0.061740693910 Henry Cohn, 2024, needs more optimization.
28 73 0.063360229681 Henry Cohn, 2024, needs more optimization.
28 74 0.064964478173 Henry Cohn, 2025, needs more optimization.
28 75 0.066468719031 Henry Cohn, 2025, needs more optimization.
28 76 0.067874887700 Henry Cohn, 2024, needs more optimization.
28 77 0.069226712316 Henry Cohn, 2025, needs more optimization.
28 78 0.070663516309 Henry Cohn, 2025, needs more optimization.
28 79 0.071926142702 Henry Cohn, 2024, needs more optimization.
28 80 0.073502722079 Henry Cohn, 2024, needs more optimization.
28 81 0.074850109644 Henry Cohn, 2024, needs more optimization.
28 82 0.076186528130 Henry Cohn, 2025, needs more optimization.
28 83 0.077413001441 Henry Cohn, 2025, needs more optimization.
28 84 0.078524579372 Henry Cohn, 2024, needs more optimization.
28 85 0.078593781113 Henry Cohn, 2025, needs more optimization.
28 86 0.079059761391 Henry Cohn, 2025, needs more optimization.
28 87 0.080060090091 Henry Cohn, 2025, needs more optimization.
28 88 0.080996399990 Henry Cohn, 2024, needs more optimization.
28 89 0.081000638124 Henry Cohn, 2025, needs more optimization.
28 90 0.081003444701 Henry Cohn, 2025, needs more optimization.
28 91 0.081004846355 Henry Cohn, 2025, needs more optimization.
28 93 0.082457224634 Henry Cohn, 2025, needs more optimization.
28 94 0.082505779653 Henry Cohn, 2025, needs more optimization.
28 95 0.083088303346 Henry Cohn, 2025, needs more optimization.
28 96 0.083119788709 Henry Cohn, 2025, needs more optimization.
28 97 0.083145305020 Henry Cohn, 2025, needs more optimization.
28 98 0.083418818178 Henry Cohn, 2025, needs more optimization.
28 99 0.083626764643 Henry Cohn, 2025, needs more optimization.
28 100 0.083763351638 Henry Cohn, 2025, needs more optimization.
28 101 0.084121193268 Henry Cohn, 2025, needs more optimization.
28 102 0.086651261642 Henry Cohn, 2025, needs more optimization.
28 103 0.087436712259 Henry Cohn, 2025, needs more optimization.
28 104 0.090029369307 Henry Cohn, 2025, needs more optimization.
28 105 0.090093551863 Henry Cohn, 2025, needs more optimization.
28 106 0.090289282346 Henry Cohn, 2025, needs more optimization.
28 112 0.090730194772 Henry Cohn, 2024, needs more optimization.
28 113 0.090919960401 Orthogonal union of 109 points in 26 dimensions and 4 points in 2 dimensions.
28 114 0.101570456534 Henry Cohn, 2025, needs more optimization.
28 115 0.101878073741 Henry Cohn, 2025, needs more optimization.
28 116 0.101978602683 Henry Cohn, 2025, needs more optimization.
28 117 0.101984044831 Henry Cohn, 2025, needs more optimization.
28 118 0.102235206423 Henry Cohn, 2025, needs more optimization.
28 119 0.102244020205 Henry Cohn, 2025, needs more optimization.
28 120 0.102496394131 Henry Cohn, 2025, needs more optimization.
28 121 0.102628529029 Henry Cohn, 2025, needs more optimization.
28 122 0.102721137863 Henry Cohn, 2025, needs more optimization.
28 123 0.109441225947 Henry Cohn, 2025, needs more optimization.
28 125 0.109623975067 Henry Cohn, 2025, needs more optimization.
28 126 0.109680029111 Henry Cohn, 2025, needs more optimization.
28 127 0.110255588718 Henry Cohn, 2025, needs more optimization.
28 128 0.110332416454 Henry Cohn, 2025, needs more optimization.
28 129 0.115181208883 Henry Cohn, 2025, needs more optimization.
28 130 0.115719145279 Henry Cohn, 2025, needs more optimization.
28 131 0.116707802780 Henry Cohn, 2025, needs more optimization.
28 132 0.117239951057 Henry Cohn, 2025, needs more optimization.
28 133 0.118044261193 Henry Cohn, 2025, needs more optimization.
28 134 0.118978173626 Henry Cohn, 2025, needs more optimization.
28 135 0.119265725263 Henry Cohn, 2025, needs more optimization.
28 136 0.120392599982 Henry Cohn, 2025, needs more optimization.
28 137 0.121344848868 Henry Cohn, 2025, needs more optimization.
28 138 0.121584108437 Henry Cohn, 2025, needs more optimization.
28 139 0.122397317748 Henry Cohn, 2025, needs more optimization.
28 140 0.123233829887 Henry Cohn, 2025, needs more optimization.
28 141 0.124072449373 Henry Cohn, 2025, needs more optimization.
28 142 0.124817247580 Henry Cohn, 2025, needs more optimization.
28 143 0.125578381904 Henry Cohn, 2025, needs more optimization.
28 144 0.126301562522 Henry Cohn, 2025, needs more optimization.
28 145 0.127367379525 Henry Cohn, 2025, needs more optimization.
28 146 0.127941651284 Henry Cohn, 2025, needs more optimization.
28 147 0.128704984394 Henry Cohn, 2025, needs more optimization.
28 148 0.129106790819 Henry Cohn, 2025, needs more optimization.
28 149 0.129120770334 Henry Cohn, 2025, needs more optimization.
28 150 0.129155255343 Henry Cohn, 2025, needs more optimization.
28 151 0.129799382355 Henry Cohn, 2025, needs more optimization.
28 152 0.129799830491 Henry Cohn, 2025, needs more optimization.
28 153 0.131028331492 Henry Cohn, 2025, needs more optimization.
28 154 0.131034504967 Henry Cohn, 2025, needs more optimization.
28 156 0.131042426012 Henry Cohn, 2025, needs more optimization.
28 157 0.131625704263 Henry Cohn, 2025, needs more optimization.
28 158 0.131668309199 Henry Cohn, 2025, needs more optimization.
28 159 0.132077342431 Henry Cohn, 2025, needs more optimization.
28 160 0.132597356331 Henry Cohn, 2025, needs more optimization.
28 162 0.132781494223 Henry Cohn, 2025, needs more optimization.
28 163 0.138759040276 Henry Cohn, 2025, needs more optimization.
28 164 0.139388933924 Henry Cohn, 2025, needs more optimization.
28 165 0.139409696716 Henry Cohn, 2025, needs more optimization.
28 166 0.139472260749 Henry Cohn, 2025, needs more optimization.
28 167 0.140350975942 Henry Cohn, 2025, needs more optimization.
28 168 0.140367813214 Henry Cohn, 2025, needs more optimization.
28 169 0.140460314964 Henry Cohn, 2025, needs more optimization.
28 170 0.141252171580 Henry Cohn, 2025, needs more optimization.
28 172 0.141439265220 Henry Cohn, 2025, needs more optimization.
28 173 0.141559587308 Henry Cohn, 2025, needs more optimization.
28 174 0.141602738939 Henry Cohn, 2025, needs more optimization.
28 175 0.141675251127 Henry Cohn, 2025, needs more optimization.
28 176 0.141706480942 Henry Cohn, 2025, needs more optimization.
28 177 0.141885756366 Henry Cohn, 2025, needs more optimization.
28 178 0.141919262433 Henry Cohn, 2025, needs more optimization.
28 179 0.141964974838 Henry Cohn, 2025, needs more optimization.
28 180 0.142017689578 Henry Cohn, 2025, needs more optimization.
28 181 0.142071141736 Henry Cohn, 2025, needs more optimization.
28 182 0.142144085175 Henry Cohn, 2025, needs more optimization.
28 183 0.142471017674 Henry Cohn, 2025, needs more optimization.
28 184 0.142475872230 Henry Cohn, 2025, needs more optimization.
28 185 0.142517999435 Henry Cohn, 2025, needs more optimization.
28 187 0.142611915028 Henry Cohn, 2025, needs more optimization.
28 189 0.142647370227 Henry Cohn, 2025, needs more optimization.
28 190 0.142662724483 Henry Cohn, 2025, needs more optimization.
28 191 0.142705886539 Henry Cohn, 2025, needs more optimization.
28 192 0.142846873583 Henry Cohn, 2025, needs more optimization.
28 193 0.142862947131 Henry Cohn, 2025, needs more optimization.
28 194 0.142881348156 Henry Cohn, 2025, needs more optimization.
28 195 0.142886326484 Henry Cohn, 2025, needs more optimization.
28 196 0.142890433394 Henry Cohn, 2025, needs more optimization.
28 197 0.142931676984 Henry Cohn, 2025, needs more optimization.
28 198 0.143078479008 Henry Cohn, 2025, needs more optimization.
28 199 0.143114826842 Henry Cohn, 2025, needs more optimization.
28 200 0.143417358113 Henry Cohn, 2025, needs more optimization.
28 201 0.144330814596 Henry Cohn, 2025, needs more optimization.
28 202 0.145018748990 Henry Cohn, 2025, needs more optimization.
28 203 0.145147404000 Henry Cohn, 2025, needs more optimization.
28 204 0.146003840442 Henry Cohn, 2025, needs more optimization.
28 205 0.156397552279 Henry Cohn, 2025, needs more optimization.
28 206 0.156611004658 Henry Cohn, 2025, needs more optimization.
28 207 0.156660034704 Henry Cohn, 2025, needs more optimization.
28 208 0.157446767822 Henry Cohn, 2025, needs more optimization.
28 209 0.158059622693 Henry Cohn, 2025, needs more optimization.
28 210 0.158164064478 Henry Cohn, 2025, needs more optimization.
28 211 0.158346441969 Henry Cohn, 2025, needs more optimization.
28 212 0.158359539506 Henry Cohn, 2025, needs more optimization.
28 213 0.158861861594 Henry Cohn, 2025, needs more optimization.
28 214 0.159635811393 Henry Cohn, 2025, needs more optimization.
28 216 0.159648283737 Henry Cohn, 2025, needs more optimization.
28 217 0.159946078440 Henry Cohn, 2025, needs more optimization.
28 290 0.166666666667 Orthogonal union of 275 points in 22 dimensions and 15 points in 6 dimensions.
6⁢x−1
28 291 0.166704907391 Henry Cohn, 2025, needs more optimization.
28 292 0.177127979098 Henry Cohn, 2025, needs more optimization.
28 293 0.177466629115 Henry Cohn, 2025, needs more optimization.
28 296 0.179502554551 Henry Cohn, 2025, needs more optimization.
28 297 0.179525848482 Henry Cohn, 2025, needs more optimization.
28 302 0.179528651602 Henry Cohn, 2025, needs more optimization.
28 304 0.179545747571 Henry Cohn, 2025, needs more optimization.
28 305 0.179556400061 Henry Cohn, 2025, needs more optimization.
28 306 0.179721772979 Henry Cohn, 2025, needs more optimization.
28 307 0.181818181819 Orthogonal union of 297 points in 24 dimensions and 10 points in 4 dimensions.
11⁢x−2
28 340 0.193548387097 Orthogonal union of 330 points in 24 dimensions and 10 points in 4 dimensions.
31⁢x−6
28 568 0.2 Orthogonal union of 552 points in 23 dimensions and 16 points in 5 dimensions.
5⁢x−1
28 569 0.237584884049 Henry Cohn, 2025, needs more optimization.
28 570 0.237588903629 Henry Cohn, 2025, needs more optimization.
28 572 0.237591978271 Henry Cohn, 2025, needs more optimization.
28 574 0.237594261739 Henry Cohn, 2025, needs more optimization.
28 575 0.237600238863 Henry Cohn, 2025, needs more optimization.
28 576 0.237621944217 Henry Cohn, 2025, needs more optimization.
28 578 0.237627733716 Henry Cohn, 2025, needs more optimization.
28 579 0.237638202957 Henry Cohn, 2025, needs more optimization.
28 580 0.237691111653 Henry Cohn, 2025, needs more optimization.
28 581 0.237723555442 Henry Cohn, 2025, needs more optimization.
28 582 0.237751031712 Henry Cohn, 2025, needs more optimization.
28 583 0.237797950112 Henry Cohn, 2025, needs more optimization.
28 584 0.237827544433 Henry Cohn, 2025, needs more optimization.
28 918 0.25 Orthogonal union of 891 points in 22 dimensions and 27 points in 6 dimensions.
4⁢x−1
28 1024 0.272727272728 Code with 1024 points in 22 dimensions.
11⁢x−3
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 0.040959648840 Henry Cohn, 2025.
29 62 0.043374719000 Henry Cohn, 2025.
29 63 0.044418323444 Henry Cohn, 2024, needs more optimization.
29 64 0.044476777526 Henry Cohn, 2025, needs more optimization.
29 65 0.045182176447 Orthogonal union of 63 points in 28 dimensions and 2 points in 1 dimension.
29 66 0.045712297400 Henry Cohn, 2024, needs more optimization.
29 67 0.046458234874 Henry Cohn, 2024, needs more optimization.
29 68 0.047745180696 Henry Cohn, 2024, needs more optimization.
29 69 0.051943103594 Henry Cohn, 2024, needs more optimization.
29 70 0.054244258991 Henry Cohn, 2024, needs more optimization.
29 71 0.055454852632 Henry Cohn, 2024, needs more optimization.
29 72 0.057063917253 Henry Cohn, 2024, needs more optimization.
29 73 0.058448382678 Henry Cohn, 2024, needs more optimization.
29 74 0.059539802974 Henry Cohn, 2025, needs more optimization.
29 75 0.061197800264 Henry Cohn, 2025, needs more optimization.
29 76 0.062707418002 Henry Cohn, 2025, needs more optimization.
29 77 0.064220115079 Henry Cohn, 2025, needs more optimization.
29 78 0.065587158571 Henry Cohn, 2025, needs more optimization.
29 79 0.066743951232 Henry Cohn, 2025, needs more optimization.
29 80 0.068512546432 Henry Cohn, 2024, needs more optimization.
29 81 0.069786384649 Henry Cohn, 2024, needs more optimization.
29 82 0.071156167068 Henry Cohn, 2025, needs more optimization.
29 83 0.072372218136 Henry Cohn, 2024, needs more optimization.
29 84 0.073471240382 Henry Cohn, 2024, needs more optimization.
29 85 0.074838961934 Henry Cohn, 2024, needs more optimization.
29 86 0.076011030157 Henry Cohn, 2024, needs more optimization.
29 87 0.076198236808 Henry Cohn, 2025, needs more optimization.
29 88 0.077090317280 Henry Cohn, 2025, needs more optimization.
29 89 0.077883826709 Henry Cohn, 2025, needs more optimization.
29 90 0.078059600631 Henry Cohn, 2025, needs more optimization.
29 91 0.078191668689 Henry Cohn, 2025, needs more optimization.
29 92 0.078309078241 Henry Cohn, 2025, needs more optimization.
29 93 0.078425178550 Henry Cohn, 2025, needs more optimization.
29 94 0.080941187461 Henry Cohn, 2025, needs more optimization.
29 95 0.081505516994 Henry Cohn, 2025, needs more optimization.
29 96 0.082130491870 Henry Cohn, 2025, needs more optimization.
29 97 0.082209770635 Henry Cohn, 2025, needs more optimization.
29 98 0.082217742892 Henry Cohn, 2025, needs more optimization.
29 99 0.082279651529 Henry Cohn, 2025, needs more optimization.
29 100 0.082730641540 Henry Cohn, 2025, needs more optimization.
29 101 0.082993429780 Henry Cohn, 2025, needs more optimization.
29 102 0.083324706604 Henry Cohn, 2025, needs more optimization.
29 103 0.083493849733 Henry Cohn, 2025, 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
29 114 0.090597286827 Henry Cohn, 2024, needs more optimization.
29 115 0.090701216306 Henry Cohn, 2025, needs more optimization.
29 116 0.100172213000 Henry Cohn, 2025, needs more optimization.
29 117 0.100947194350 Henry Cohn, 2025, needs more optimization.
29 118 0.101478570796 Henry Cohn, 2025, needs more optimization.
29 119 0.101972628930 Henry Cohn, 2025, needs more optimization.
29 120 0.102230903462 Henry Cohn, 2025, needs more optimization.
29 121 0.102239954807 Henry Cohn, 2025, needs more optimization.
29 122 0.102488380459 Henry Cohn, 2025, needs more optimization.
29 123 0.102628529029 Orthogonal union of 121 points in 28 dimensions and 2 points in 1 dimension.
29 124 0.102657726833 Henry Cohn, 2025, needs more optimization.
29 125 0.107748073521 Henry Cohn, 2025, needs more optimization.
29 126 0.108507086294 Henry Cohn, 2025, needs more optimization.
29 127 0.108609011912 Henry Cohn, 2025, needs more optimization.
29 128 0.108626231047 Henry Cohn, 2025, needs more optimization.
29 129 0.109013414436 Henry Cohn, 2025, needs more optimization.
29 130 0.109035342656 Henry Cohn, 2025, needs more optimization.
29 131 0.111343285142 Henry Cohn, 2025, needs more optimization.
29 132 0.112089807765 Henry Cohn, 2025, needs more optimization.
29 133 0.112920268588 Henry Cohn, 2025, needs more optimization.
29 134 0.113399895555 Henry Cohn, 2025, needs more optimization.
29 135 0.113766675344 Henry Cohn, 2025, needs more optimization.
29 136 0.114519349185 Henry Cohn, 2025, needs more optimization.
29 137 0.115318268365 Henry Cohn, 2025, needs more optimization.
29 138 0.115944973272 Henry Cohn, 2025, needs more optimization.
29 139 0.116694353452 Henry Cohn, 2025, needs more optimization.
29 140 0.117091222736 Henry Cohn, 2025, needs more optimization.
29 141 0.117939810505 Henry Cohn, 2025, needs more optimization.
29 142 0.118718961730 Henry Cohn, 2025, needs more optimization.
29 143 0.119181405353 Henry Cohn, 2025, needs more optimization.
29 144 0.119969034646 Henry Cohn, 2025, needs more optimization.
29 145 0.120724882850 Henry Cohn, 2025, needs more optimization.
29 146 0.121700784787 Henry Cohn, 2025, needs more optimization.
29 147 0.122183791701 Henry Cohn, 2025, needs more optimization.
29 148 0.123129471994 Henry Cohn, 2025, needs more optimization.
29 149 0.123695453589 Henry Cohn, 2025, needs more optimization.
29 150 0.124080009431 Henry Cohn, 2025, needs more optimization.
29 151 0.125133677302 Henry Cohn, 2025, needs more optimization.
29 152 0.125781415941 Henry Cohn, 2025, needs more optimization.
29 153 0.126402827131 Henry Cohn, 2025, needs more optimization.
29 154 0.127506863894 Henry Cohn, 2025, needs more optimization.
29 155 0.127648704064 Henry Cohn, 2025, needs more optimization.
29 156 0.127704379294 Henry Cohn, 2025, needs more optimization.
29 157 0.127927386139 Henry Cohn, 2025, needs more optimization.
29 158 0.128601413624 Henry Cohn, 2025, needs more optimization.
29 159 0.128804965796 Henry Cohn, 2025, needs more optimization.
29 160 0.128989378587 Henry Cohn, 2025, needs more optimization.
29 161 0.129261432025 Henry Cohn, 2025, needs more optimization.
29 162 0.129736626148 Henry Cohn, 2025, needs more optimization.
29 163 0.129882409316 Henry Cohn, 2025, needs more optimization.
29 164 0.130309947369 Henry Cohn, 2025, needs more optimization.
29 165 0.135322743012 Henry Cohn, 2025, needs more optimization.
29 166 0.135796526858 Henry Cohn, 2025, needs more optimization.
29 167 0.136424410728 Henry Cohn, 2025, needs more optimization.
29 168 0.137294953719 Henry Cohn, 2025, needs more optimization.
29 169 0.137670085940 Henry Cohn, 2025, needs more optimization.
29 170 0.138209705292 Henry Cohn, 2025, needs more optimization.
29 171 0.138781001717 Henry Cohn, 2025, needs more optimization.
29 172 0.138836052786 Henry Cohn, 2025, needs more optimization.
29 173 0.139108853845 Henry Cohn, 2025, needs more optimization.
29 174 0.139257047647 Henry Cohn, 2025, needs more optimization.
29 175 0.139373619371 Henry Cohn, 2025, needs more optimization.
29 176 0.139612561555 Henry Cohn, 2025, needs more optimization.
29 177 0.140089974577 Henry Cohn, 2025, needs more optimization.
29 178 0.140142578992 Henry Cohn, 2025, needs more optimization.
29 179 0.140426590309 Henry Cohn, 2025, needs more optimization.
29 180 0.140542410416 Henry Cohn, 2025, needs more optimization.
29 181 0.140775707987 Henry Cohn, 2025, needs more optimization.
29 182 0.140810124265 Henry Cohn, 2025, needs more optimization.
29 183 0.141167320340 Henry Cohn, 2025, needs more optimization.
29 184 0.141535472263 Henry Cohn, 2025, needs more optimization.
29 185 0.141683024240 Henry Cohn, 2025, needs more optimization.
29 187 0.141785199413 Henry Cohn, 2025, needs more optimization.
29 188 0.141884754788 Henry Cohn, 2025, needs more optimization.
29 189 0.142022791117 Henry Cohn, 2025, needs more optimization.
29 190 0.142057499391 Henry Cohn, 2025, needs more optimization.
29 192 0.142072426863 Henry Cohn, 2025, needs more optimization.
29 193 0.142104564007 Henry Cohn, 2025, needs more optimization.
29 195 0.142195311585 Henry Cohn, 2025, needs more optimization.
29 196 0.142261929677 Henry Cohn, 2025, needs more optimization.
29 197 0.142290935213 Henry Cohn, 2025, needs more optimization.
29 198 0.142524221664 Henry Cohn, 2025, needs more optimization.
29 199 0.142551782799 Henry Cohn, 2025, needs more optimization.
29 200 0.142573806883 Henry Cohn, 2025, needs more optimization.
29 201 0.142590305823 Henry Cohn, 2025, needs more optimization.
29 202 0.142610837350 Henry Cohn, 2025, needs more optimization.
29 203 0.142658000829 Henry Cohn, 2025, needs more optimization.
29 204 0.142733622437 Henry Cohn, 2025, needs more optimization.
29 205 0.142755751538 Henry Cohn, 2025, needs more optimization.
29 206 0.142876458490 Henry Cohn, 2025, needs more optimization.
29 207 0.143103396949 Henry Cohn, 2025, needs more optimization.
29 208 0.143266462761 Henry Cohn, 2025, needs more optimization.
29 209 0.143578517943 Henry Cohn, 2025, needs more optimization.
29 210 0.143985243849 Henry Cohn, 2025, needs more optimization.
29 211 0.145378360995 Henry Cohn, 2025, needs more optimization.
29 212 0.145723108138 Henry Cohn, 2025, needs more optimization.
29 213 0.145927311028 Henry Cohn, 2025, needs more optimization.
29 214 0.146014570503 Henry Cohn, 2025, needs more optimization.
29 215 0.147625069345 Henry Cohn, 2025, needs more optimization.
29 217 0.148694695138 Henry Cohn, 2025, needs more optimization.
29 218 0.148855366428 Henry Cohn, 2025, needs more optimization.
29 219 0.149567253866 Henry Cohn, 2025, needs more optimization.
29 220 0.149898627078 Henry Cohn, 2025, needs more optimization.
29 221 0.157590647108 Henry Cohn, 2025, needs more optimization.
29 222 0.157684781539 Henry Cohn, 2025, needs more optimization.
29 223 0.157822302653 Henry Cohn, 2025, needs more optimization.
29 224 0.164824641843 Henry Cohn, 2025, needs more optimization.
29 225 0.165106204863 Henry Cohn, 2025, needs more optimization.
29 226 0.165482970057 Henry Cohn, 2025, needs more optimization.
29 227 0.165918969031 Henry Cohn, 2025, needs more optimization.
29 294 0.166666666667 Orthogonal union of 275 points in 22 dimensions and 19 points in 7 dimensions.
6⁢x−1
29 295 0.166670049303 Henry Cohn, 2025, needs more optimization.
29 296 0.176507865665 Henry Cohn, 2025, needs more optimization.
29 297 0.176521565570 Henry Cohn, 2025, needs more optimization.
29 298 0.176525873137 Henry Cohn, 2025, needs more optimization.
29 301 0.176533432653 Henry Cohn, 2025, needs more optimization.
29 303 0.176542299436 Henry Cohn, 2025, needs more optimization.
29 304 0.176551792219 Henry Cohn, 2025, needs more optimization.
29 305 0.177172094562 Henry Cohn, 2025, needs more optimization.
29 306 0.177394704700 Henry Cohn, 2025, needs more optimization.
29 307 0.177546918892 Henry Cohn, 2025, needs more optimization.
29 308 0.177607970914 Henry Cohn, 2025, needs more optimization.
29 309 0.178906585407 Henry Cohn, 2025, needs more optimization.
29 310 0.179420586240 Henry Cohn, 2025, needs more optimization.
29 311 0.191510798210 Henry Cohn, 2025, needs more optimization.
29 312 0.191528103197 Henry Cohn, 2025, needs more optimization.
29 316 0.191538880051 Henry Cohn, 2025, needs more optimization.
29 317 0.191540839179 Henry Cohn, 2025, needs more optimization.
29 318 0.191544063365 Henry Cohn, 2025, needs more optimization.
29 319 0.191546468106 Henry Cohn, 2025, needs more optimization.
29 320 0.191557767589 Henry Cohn, 2025, needs more optimization.
29 324 0.191561567689 Henry Cohn, 2025, needs more optimization.
29 328 0.191565079115 Henry Cohn, 2025, needs more optimization.
29 329 0.191571035795 Henry Cohn, 2025, needs more optimization.
29 331 0.191581140007 Henry Cohn, 2025, needs more optimization.
29 332 0.191703566930 Henry Cohn, 2025, needs more optimization.
29 333 0.192010838834 Henry Cohn, 2025, needs more optimization.
29 334 0.192068487408 Henry Cohn, 2025, needs more optimization.
29 337 0.192105868696 Henry Cohn, 2025, needs more optimization.
29 338 0.192147496897 Henry Cohn, 2025, needs more optimization.
29 339 0.192183278201 Henry Cohn, 2025, needs more optimization.
29 340 0.192237220322 Henry Cohn, 2025, needs more optimization.
29 342 0.192254162451 Henry Cohn, 2025, needs more optimization.
29 343 0.192323292672 Henry Cohn, 2025, needs more optimization.
29 570 0.2 Orthogonal union of 552 points in 23 dimensions and 18 points in 6 dimensions.
5⁢x−1
29 571 0.200066477482 Henry Cohn, 2025, needs more optimization.
29 572 0.200069383926 Henry Cohn, 2025, needs more optimization.
29 573 0.234624751728 Henry Cohn, 2025, needs more optimization.
29 574 0.235091398400 Henry Cohn, 2025, needs more optimization.
29 575 0.235110711429 Henry Cohn, 2025, needs more optimization.
29 576 0.235157516662 Henry Cohn, 2025, needs more optimization.
29 577 0.235179762217 Henry Cohn, 2025, needs more optimization.
29 578 0.235234190152 Henry Cohn, 2025, needs more optimization.
29 579 0.235492064971 Henry Cohn, 2025, needs more optimization.
29 580 0.235517428850 Henry Cohn, 2025, needs more optimization.
29 581 0.235934603367 Henry Cohn, 2025, needs more optimization.
29 582 0.235951653985 Henry Cohn, 2025, needs more optimization.
29 583 0.235981639420 Henry Cohn, 2025, needs more optimization.
29 584 0.235988628275 Henry Cohn, 2025, needs more optimization.
29 585 0.236025658833 Henry Cohn, 2025, needs more optimization.
29 586 0.236089316280 Henry Cohn, 2025, needs more optimization.
29 587 0.236208079580 Henry Cohn, 2025, needs more optimization.
29 588 0.236217441537 Henry Cohn, 2025, needs more optimization.
29 589 0.236246637460 Henry Cohn, 2025, needs more optimization.
29 590 0.236295911267 Henry Cohn, 2025, needs more optimization.
29 591 0.237136689952 Henry Cohn, 2025, needs more optimization.
29 592 0.237200790710 Henry Cohn, 2025, needs more optimization.
29 593 0.237274579563 Henry Cohn, 2025, needs more optimization.
29 594 0.245671646446 Henry Cohn, 2025, needs more optimization.
29 595 0.245680414559 Henry Cohn, 2025, needs more optimization.
29 596 0.245966410447 Henry Cohn, 2025, needs more optimization.
29 597 0.245995170494 Henry Cohn, 2025, needs more optimization.
29 598 0.246042694485 Henry Cohn, 2025, needs more optimization.
29 599 0.246477617658 Henry Cohn, 2025, needs more optimization.
29 600 0.246512553722 Henry Cohn, 2025, needs more optimization.
29 601 0.246517397854 Henry Cohn, 2025, needs more optimization.
29 602 0.246623445164 Henry Cohn, 2025, needs more optimization.
29 603 0.246990340551 Henry Cohn, 2025, needs more optimization.
29 604 0.247022192790 Henry Cohn, 2025, needs more optimization.
29 605 0.247113488573 Henry Cohn, 2025, needs more optimization.
29 606 0.247306955842 Henry Cohn, 2025, needs more optimization.
29 607 0.247335614605 Henry Cohn, 2025, needs more optimization.
29 608 0.247401579892 Henry Cohn, 2025, needs more optimization.
29 609 0.247589108705 Henry Cohn, 2025, needs more optimization.
29 610 0.247927327407 Henry Cohn, 2025, needs more optimization.
29 611 0.247972439268 Henry Cohn, 2025, needs more optimization.
29 612 0.247980147474 Henry Cohn, 2025, needs more optimization.
29 613 0.248183456942 Henry Cohn, 2025, needs more optimization.
29 614 0.248466244305 Henry Cohn, 2025, needs more optimization.
29 615 0.248508382476 Henry Cohn, 2025, needs more optimization.
29 616 0.248565364288 Henry Cohn, 2025, needs more optimization.
29 617 0.248872144141 Henry Cohn, 2025, needs more optimization.
29 921 0.25 Orthogonal union of 891 points in 22 dimensions and 30 points in 7 dimensions.
4⁢x−1
29 922 0.250089158857 Henry Cohn, 2025, needs more optimization.
29 923 0.250101612213 Henry Cohn, 2025, needs more optimization.
29 924 0.250110373218 Henry Cohn, 2025, needs more optimization.
29 1024 0.272727272728 Code with 1024 points in 22 dimensions.
11⁢x−3
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 0.031275273372 Henry Cohn, 2024.
30 63 0.039882314205 Henry Cohn, 2024.
30 64 0.042173411764 Henry Cohn, 2025, needs more optimization.
30 65 0.043892244528 Henry Cohn, 2024, needs more optimization.
30 66 0.044324649525 Henry Cohn, 2024, needs more optimization.
30 67 0.044636092949 Henry Cohn, 2024, needs more optimization.
30 68 0.045102335021 Henry Cohn, 2024, needs more optimization.
30 69 0.045903208320 Henry Cohn, 2024, needs more optimization.
30 70 0.046854835721 Henry Cohn, 2025, needs more optimization.
30 71 0.051112199071 Henry Cohn, 2024, needs more optimization.
30 72 0.052929292446 Henry Cohn, 2024, needs more optimization.
30 73 0.054094909776 Henry Cohn, 2024, needs more optimization.
30 74 0.055367182963 Henry Cohn, 2024, needs more optimization.
30 75 0.056869974077 Henry Cohn, 2024, needs more optimization.
30 76 0.058114360800 Henry Cohn, 2024, needs more optimization.
30 77 0.059419960969 Henry Cohn, 2025, needs more optimization.
30 78 0.060727745720 Henry Cohn, 2025, needs more optimization.
30 79 0.062150830240 Henry Cohn, 2025, needs more optimization.
30 80 0.063529916873 Henry Cohn, 2025, needs more optimization.
30 81 0.064694563982 Henry Cohn, 2024, needs more optimization.
30 82 0.066178198712 Henry Cohn, 2025, needs more optimization.
30 83 0.067385043591 Henry Cohn, 2025, needs more optimization.
30 84 0.068709256287 Henry Cohn, 2024, needs more optimization.
30 85 0.069753378022 Henry Cohn, 2024, needs more optimization.
30 86 0.071126021632 Henry Cohn, 2024, needs more optimization.
30 87 0.072204338033 Henry Cohn, 2025, needs more optimization.
30 88 0.073445174951 Henry Cohn, 2025, needs more optimization.
30 89 0.074331656829 Henry Cohn, 2025, needs more optimization.
30 90 0.074477811956 Henry Cohn, 2025, needs more optimization.
30 91 0.075494751672 Henry Cohn, 2025, needs more optimization.
30 92 0.076358213829 Henry Cohn, 2025, needs more optimization.
30 93 0.077440426301 Henry Cohn, 2025, needs more optimization.
30 94 0.077927765914 Henry Cohn, 2025, needs more optimization.
30 95 0.078396480014 Henry Cohn, 2025, needs more optimization.
30 96 0.080209647885 Henry Cohn, 2025, needs more optimization.
30 97 0.080433407240 Henry Cohn, 2025, needs more optimization.
30 98 0.080554812652 Henry Cohn, 2025, needs more optimization.
30 99 0.080983844272 Henry Cohn, 2025, needs more optimization.
30 100 0.081536498021 Henry Cohn, 2025, needs more optimization.
30 101 0.081616936145 Henry Cohn, 2025, needs more optimization.
30 102 0.082286027847 Henry Cohn, 2025, needs more optimization.
30 103 0.082378725121 Henry Cohn, 2025, needs more optimization.
30 104 0.082521917691 Henry Cohn, 2025, needs more optimization.
30 105 0.083091977808 Henry Cohn, 2025, 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
30 116 0.088982380301 Henry Cohn, 2024, needs more optimization.
30 117 0.089580773316 Henry Cohn, 2025, needs more optimization.
30 118 0.097784054279 Henry Cohn, 2025, needs more optimization.
30 119 0.098649912964 Henry Cohn, 2025, needs more optimization.
30 120 0.098995452042 Henry Cohn, 2025, needs more optimization.
30 121 0.099494129020 Henry Cohn, 2025, needs more optimization.
30 122 0.100264200662 Henry Cohn, 2025, needs more optimization.
30 123 0.100906986725 Henry Cohn, 2025, needs more optimization.
30 124 0.101393184351 Henry Cohn, 2025, needs more optimization.
30 125 0.102628529029 Orthogonal union of 121 points in 28 dimensions and 4 points in 2 dimensions.
30 126 0.102657380700 Henry Cohn, 2025, needs more optimization.
30 127 0.104463736033 Henry Cohn, 2025, needs more optimization.
30 128 0.105075879702 Henry Cohn, 2025, needs more optimization.
30 129 0.105823572059 Henry Cohn, 2025, needs more optimization.
30 130 0.106193163452 Henry Cohn, 2025, needs more optimization.
30 131 0.106850962667 Henry Cohn, 2025, needs more optimization.
30 132 0.107389761956 Henry Cohn, 2025, needs more optimization.
30 133 0.107756846036 Henry Cohn, 2025, needs more optimization.
30 134 0.108731792628 Henry Cohn, 2025, needs more optimization.
30 135 0.109043040875 Henry Cohn, 2025, needs more optimization.
30 136 0.109712377088 Henry Cohn, 2025, needs more optimization.
30 137 0.110514534713 Henry Cohn, 2025, needs more optimization.
30 138 0.110913592570 Henry Cohn, 2025, needs more optimization.
30 139 0.111623184683 Henry Cohn, 2025, needs more optimization.
30 140 0.112144377885 Henry Cohn, 2025, needs more optimization.
30 141 0.112881266968 Henry Cohn, 2025, needs more optimization.
30 142 0.113549245538 Henry Cohn, 2025, needs more optimization.
30 143 0.113905903592 Henry Cohn, 2025, needs more optimization.
30 144 0.114610511401 Henry Cohn, 2025, needs more optimization.
30 145 0.115302681594 Henry Cohn, 2025, needs more optimization.
30 146 0.116027354473 Henry Cohn, 2025, needs more optimization.
30 147 0.116651582243 Henry Cohn, 2025, needs more optimization.
30 148 0.117094700205 Henry Cohn, 2025, needs more optimization.
30 149 0.117708663823 Henry Cohn, 2025, needs more optimization.
30 150 0.118816567050 Henry Cohn, 2025, needs more optimization.
30 151 0.119125969616 Henry Cohn, 2025, needs more optimization.
30 152 0.119728630431 Henry Cohn, 2025, needs more optimization.
30 153 0.120434183621 Henry Cohn, 2025, needs more optimization.
30 154 0.121177420768 Henry Cohn, 2025, needs more optimization.
30 155 0.121750951524 Henry Cohn, 2025, needs more optimization.
30 156 0.122571951456 Henry Cohn, 2025, needs more optimization.
30 157 0.123494717632 Henry Cohn, 2025, needs more optimization.
30 158 0.124043738175 Henry Cohn, 2025, needs more optimization.
30 159 0.124610294593 Henry Cohn, 2025, needs more optimization.
30 160 0.125235760553 Henry Cohn, 2025, needs more optimization.
30 161 0.126060808773 Henry Cohn, 2025, needs more optimization.
30 162 0.126705498327 Henry Cohn, 2025, needs more optimization.
30 163 0.127414722035 Henry Cohn, 2025, needs more optimization.
30 164 0.127833070079 Henry Cohn, 2025, needs more optimization.
30 165 0.128798275002 Henry Cohn, 2025, needs more optimization.
30 166 0.129283876626 Henry Cohn, 2025, needs more optimization.
30 167 0.129820389233 Henry Cohn, 2025, needs more optimization.
30 168 0.130767923488 Henry Cohn, 2025, needs more optimization.
30 169 0.131453319018 Henry Cohn, 2025, needs more optimization.
30 170 0.132079802066 Henry Cohn, 2025, needs more optimization.
30 171 0.132666140632 Henry Cohn, 2025, needs more optimization.
30 172 0.133227653324 Henry Cohn, 2025, needs more optimization.
30 173 0.133785255527 Henry Cohn, 2025, needs more optimization.
30 174 0.134423363351 Henry Cohn, 2025, needs more optimization.
30 175 0.135156739953 Henry Cohn, 2025, needs more optimization.
30 176 0.135642221267 Henry Cohn, 2025, needs more optimization.
30 177 0.136145888605 Henry Cohn, 2025, needs more optimization.
30 178 0.136701806688 Henry Cohn, 2025, needs more optimization.
30 179 0.136952392016 Henry Cohn, 2025, needs more optimization.
30 180 0.137105108263 Henry Cohn, 2025, needs more optimization.
30 181 0.137401389552 Henry Cohn, 2025, needs more optimization.
30 182 0.137689328709 Henry Cohn, 2025, needs more optimization.
30 183 0.138089537798 Henry Cohn, 2025, needs more optimization.
30 184 0.138494971965 Henry Cohn, 2025, needs more optimization.
30 185 0.138623959066 Henry Cohn, 2025, needs more optimization.
30 186 0.139073275391 Henry Cohn, 2025, needs more optimization.
30 187 0.139148066856 Henry Cohn, 2025, needs more optimization.
30 188 0.139357914161 Henry Cohn, 2025, needs more optimization.
30 189 0.140010698920 Henry Cohn, 2025, needs more optimization.
30 190 0.140044354997 Henry Cohn, 2025, needs more optimization.
30 191 0.140118207565 Henry Cohn, 2025, needs more optimization.
30 192 0.140460419411 Henry Cohn, 2025, needs more optimization.
30 193 0.140538378134 Henry Cohn, 2025, needs more optimization.
30 194 0.140575505622 Henry Cohn, 2025, needs more optimization.
30 195 0.141133233149 Henry Cohn, 2025, needs more optimization.
30 196 0.141210342499 Henry Cohn, 2025, needs more optimization.
30 197 0.141281995141 Henry Cohn, 2025, needs more optimization.
30 198 0.141518303386 Henry Cohn, 2025, needs more optimization.
30 199 0.141570804732 Henry Cohn, 2025, needs more optimization.
30 200 0.141592693510 Henry Cohn, 2025, needs more optimization.
30 201 0.141657843621 Henry Cohn, 2025, needs more optimization.
30 202 0.141891259692 Henry Cohn, 2025, needs more optimization.
30 203 0.142029532103 Henry Cohn, 2025, needs more optimization.
30 204 0.142120134187 Henry Cohn, 2025, needs more optimization.
30 205 0.142156280116 Henry Cohn, 2025, needs more optimization.
30 206 0.142209872475 Henry Cohn, 2025, needs more optimization.
30 207 0.142223643855 Henry Cohn, 2025, needs more optimization.
30 208 0.142309917386 Henry Cohn, 2025, needs more optimization.
30 209 0.142343119586 Henry Cohn, 2025, needs more optimization.
30 210 0.142390801293 Henry Cohn, 2025, needs more optimization.
30 211 0.142427238739 Henry Cohn, 2025, needs more optimization.
30 212 0.142653750871 Henry Cohn, 2025, needs more optimization.
30 213 0.142677231978 Henry Cohn, 2025, needs more optimization.
30 214 0.142724528103 Henry Cohn, 2025, needs more optimization.
30 215 0.142735607463 Henry Cohn, 2025, needs more optimization.
30 216 0.142973819903 Henry Cohn, 2025, needs more optimization.
30 217 0.143029169300 Henry Cohn, 2025, needs more optimization.
30 218 0.143409486292 Henry Cohn, 2025, needs more optimization.
30 219 0.143795258088 Henry Cohn, 2025, needs more optimization.
30 220 0.144092641708 Henry Cohn, 2025, needs more optimization.
30 221 0.144482835170 Henry Cohn, 2025, needs more optimization.
30 222 0.145203467420 Henry Cohn, 2025, needs more optimization.
30 223 0.145975547421 Henry Cohn, 2025, needs more optimization.
30 224 0.146299481475 Henry Cohn, 2025, needs more optimization.
30 225 0.147027151913 Henry Cohn, 2025, needs more optimization.
30 226 0.147433052220 Henry Cohn, 2025, needs more optimization.
30 227 0.147626726166 Henry Cohn, 2025, needs more optimization.
30 228 0.148189067549 Henry Cohn, 2025, needs more optimization.
30 229 0.148750045684 Henry Cohn, 2025, needs more optimization.
30 230 0.148990267036 Henry Cohn, 2025, needs more optimization.
30 231 0.149200154921 Henry Cohn, 2025, needs more optimization.
30 232 0.149949105667 Henry Cohn, 2025, needs more optimization.
30 233 0.150456998706 Henry Cohn, 2025, needs more optimization.
30 234 0.151014910476 Henry Cohn, 2025, needs more optimization.
30 235 0.151796504509 Henry Cohn, 2025, needs more optimization.
30 236 0.152552383573 Henry Cohn, 2025, needs more optimization.
30 237 0.153050021976 Henry Cohn, 2025, needs more optimization.
30 238 0.154237812047 Henry Cohn, 2025, needs more optimization.
30 239 0.155342534512 Henry Cohn, 2025, needs more optimization.
30 240 0.155713223392 Henry Cohn, 2025, needs more optimization.
30 241 0.157821513344 Henry Cohn, 2025, needs more optimization.
30 242 0.157852801109 Henry Cohn, 2025, needs more optimization.
30 243 0.158087682007 Henry Cohn, 2025, needs more optimization.
30 244 0.158107643248 Henry Cohn, 2025, needs more optimization.
30 245 0.158502753306 Henry Cohn, 2025, needs more optimization.
30 246 0.159429144196 Henry Cohn, 2025, needs more optimization.
30 247 0.159444340509 Henry Cohn, 2025, needs more optimization.
30 248 0.159591184666 Henry Cohn, 2025, needs more optimization.
30 249 0.159623120803 Henry Cohn, 2025, needs more optimization.
30 250 0.160518998445 Henry Cohn, 2025, needs more optimization.
30 251 0.160618910393 Henry Cohn, 2025, needs more optimization.
30 252 0.160648392662 Henry Cohn, 2025, needs more optimization.
30 253 0.160672827330 Henry Cohn, 2025, needs more optimization.
30 254 0.160742476730 Henry Cohn, 2025, needs more optimization.
30 255 0.160770987018 Henry Cohn, 2025, needs more optimization.
30 256 0.160779285232 Henry Cohn, 2025, needs more optimization.
30 257 0.160819624686 Henry Cohn, 2025, needs more optimization.
30 258 0.160979436555 Henry Cohn, 2025, needs more optimization.
30 259 0.161025400235 Henry Cohn, 2025, needs more optimization.
30 260 0.161092154720 Henry Cohn, 2025, needs more optimization.
30 261 0.161095712610 Henry Cohn, 2025, needs more optimization.
30 262 0.161139100713 Henry Cohn, 2025, needs more optimization.
30 263 0.161177741696 Henry Cohn, 2025, needs more optimization.
30 264 0.161223448049 Henry Cohn, 2025, needs more optimization.
30 265 0.161265762298 Henry Cohn, 2025, needs more optimization.
30 266 0.161553865580 Henry Cohn, 2025, needs more optimization.
30 267 0.161945609008 Henry Cohn, 2025, needs more optimization.
30 268 0.161993083526 Henry Cohn, 2025, needs more optimization.
30 269 0.162015366196 Henry Cohn, 2025, needs more optimization.
30 270 0.162054203319 Henry Cohn, 2025, needs more optimization.
30 271 0.162091168198 Henry Cohn, 2025, needs more optimization.
30 272 0.162741265877 Henry Cohn, 2025, needs more optimization.
30 273 0.162890151968 Henry Cohn, 2025, needs more optimization.
30 274 0.163232119106 Henry Cohn, 2025, needs more optimization.
30 275 0.163262012058 Henry Cohn, 2025, needs more optimization.
30 276 0.163628166354 Henry Cohn, 2025, needs more optimization.
30 277 0.164574656394 Henry Cohn, 2025, needs more optimization.
30 278 0.164671633678 Henry Cohn, 2025, needs more optimization.
30 279 0.164782715231 Henry Cohn, 2025, needs more optimization.
30 280 0.164789703108 Henry Cohn, 2025, needs more optimization.
30 281 0.164886846027 Henry Cohn, 2025, needs more optimization.
30 282 0.164886875361 Henry Cohn, 2025, needs more optimization.
30 283 0.165235009532 Henry Cohn, 2025, needs more optimization.
30 285 0.165501907001 Henry Cohn, 2025, needs more optimization.
30 287 0.165576872572 Henry Cohn, 2025, needs more optimization.
30 288 0.165715184978 Henry Cohn, 2025, needs more optimization.
30 289 0.166247823296 Henry Cohn, 2025, needs more optimization.
30 290 0.166263565740 Henry Cohn, 2025, needs more optimization.
30 293 0.166309499039 Henry Cohn, 2025, needs more optimization.
30 294 0.166339314558 Henry Cohn, 2025, needs more optimization.
30 296 0.166342477112 Henry Cohn, 2025, needs more optimization.
30 297 0.166359492365 Henry Cohn, 2025, needs more optimization.
30 298 0.166370158144 Henry Cohn, 2025, needs more optimization.
30 299 0.166405619609 Henry Cohn, 2025, needs more optimization.
30 301 0.166553784526 Henry Cohn, 2025, needs more optimization.
30 305 0.176032505824 Henry Cohn, 2025, needs more optimization.
30 307 0.176047572364 Henry Cohn, 2025, needs more optimization.
30 308 0.176116804980 Henry Cohn, 2025, needs more optimization.
30 310 0.176296554787 Henry Cohn, 2025, needs more optimization.
30 311 0.176300969509 Henry Cohn, 2025, needs more optimization.
30 312 0.176312527291 Henry Cohn, 2025, needs more optimization.
30 313 0.176338272057 Henry Cohn, 2025, needs more optimization.
30 314 0.176351961824 Henry Cohn, 2025, needs more optimization.
30 315 0.185640192528 Henry Cohn, 2025, needs more optimization.
30 316 0.186293971644 Henry Cohn, 2025, needs more optimization.
30 317 0.186370340436 Henry Cohn, 2025, needs more optimization.
30 318 0.186437561962 Henry Cohn, 2025, needs more optimization.
30 320 0.186845577371 Henry Cohn, 2025, needs more optimization.
30 321 0.186986503859 Henry Cohn, 2025, needs more optimization.
30 322 0.187613329381 Henry Cohn, 2025, needs more optimization.
30 323 0.187643458067 Henry Cohn, 2025, needs more optimization.
30 324 0.187825729198 Henry Cohn, 2025, needs more optimization.
30 325 0.188175990458 Henry Cohn, 2025, needs more optimization.
30 326 0.188262603490 Henry Cohn, 2025, needs more optimization.
30 327 0.188630642966 Henry Cohn, 2025, needs more optimization.
30 328 0.189015099227 Henry Cohn, 2025, needs more optimization.
30 330 0.189024561117 Henry Cohn, 2025, needs more optimization.
30 331 0.189792490156 Henry Cohn, 2025, needs more optimization.
30 332 0.189810888088 Henry Cohn, 2025, needs more optimization.
30 334 0.189842389061 Henry Cohn, 2025, needs more optimization.
30 335 0.189857974442 Henry Cohn, 2025, needs more optimization.
30 336 0.189861326636 Henry Cohn, 2025, needs more optimization.
30 337 0.189964445400 Henry Cohn, 2025, needs more optimization.
30 338 0.190213722271 Henry Cohn, 2025, needs more optimization.
30 341 0.190830069071 Henry Cohn, 2025, needs more optimization.
30 342 0.190857458762 Henry Cohn, 2025, needs more optimization.
30 343 0.190872383208 Henry Cohn, 2025, needs more optimization.
30 344 0.190884582662 Henry Cohn, 2025, needs more optimization.
30 345 0.190906814513 Henry Cohn, 2025, needs more optimization.
30 346 0.190927954778 Henry Cohn, 2025, needs more optimization.
30 347 0.191090541111 Henry Cohn, 2025, needs more optimization.
30 348 0.195724205091 Henry Cohn, 2025, needs more optimization.
30 349 0.196081488046 Henry Cohn, 2025, needs more optimization.
30 350 0.196329688732 Henry Cohn, 2025, needs more optimization.
30 351 0.196511716822 Henry Cohn, 2025, needs more optimization.
30 352 0.196672047475 Henry Cohn, 2025, needs more optimization.
30 353 0.197073156446 Henry Cohn, 2025, needs more optimization.
30 354 0.197189671347 Henry Cohn, 2025, needs more optimization.
30 355 0.197458109864 Henry Cohn, 2025, needs more optimization.
30 356 0.197964454067 Henry Cohn, 2025, needs more optimization.
30 357 0.198029005733 Henry Cohn, 2025, needs more optimization.
30 358 0.198148915110 Henry Cohn, 2025, needs more optimization.
30 359 0.198370739311 Henry Cohn, 2025, needs more optimization.
30 360 0.198750037989 Henry Cohn, 2025, needs more optimization.
30 361 0.198840165367 Henry Cohn, 2025, needs more optimization.
30 576 0.2 Orthogonal union of 552 points in 23 dimensions and 24 points in 7 dimensions.
5⁢x−1
30 578 0.200081089705 Henry Cohn, 2025, needs more optimization.
30 579 0.231300535618 Henry Cohn, 2025, needs more optimization.
30 580 0.231543091191 Henry Cohn, 2025, needs more optimization.
30 581 0.231719936377 Henry Cohn, 2025, needs more optimization.
30 582 0.231767969461 Henry Cohn, 2025, needs more optimization.
30 583 0.232342556691 Henry Cohn, 2025, needs more optimization.
30 584 0.232402521050 Henry Cohn, 2025, needs more optimization.
30 585 0.232791557270 Henry Cohn, 2025, needs more optimization.
30 586 0.232826330750 Henry Cohn, 2025, needs more optimization.
30 587 0.232937633406 Henry Cohn, 2025, needs more optimization.
30 588 0.233019757356 Henry Cohn, 2025, needs more optimization.
30 589 0.233706000268 Henry Cohn, 2025, needs more optimization.
30 590 0.233800820709 Henry Cohn, 2025, needs more optimization.
30 591 0.233830659901 Henry Cohn, 2025, needs more optimization.
30 592 0.234458513218 Henry Cohn, 2025, needs more optimization.
30 593 0.234521582075 Henry Cohn, 2025, needs more optimization.
30 594 0.234919276274 Henry Cohn, 2025, needs more optimization.
30 595 0.235387213184 Henry Cohn, 2025, needs more optimization.
30 596 0.235452916600 Henry Cohn, 2025, needs more optimization.
30 597 0.236061242500 Henry Cohn, 2025, needs more optimization.
30 598 0.236598541834 Henry Cohn, 2025, needs more optimization.
30 599 0.236646296785 Henry Cohn, 2025, needs more optimization.
30 600 0.236733949110 Henry Cohn, 2025, needs more optimization.
30 601 0.237275608752 Henry Cohn, 2025, needs more optimization.
30 602 0.239181121615 Henry Cohn, 2025, needs more optimization.
30 603 0.239420198444 Henry Cohn, 2025, needs more optimization.
30 604 0.239452979121 Henry Cohn, 2025, needs more optimization.
30 605 0.239834446088 Henry Cohn, 2025, needs more optimization.
30 606 0.239893591260 Henry Cohn, 2025, needs more optimization.
30 607 0.239935882242 Henry Cohn, 2025, needs more optimization.
30 608 0.240158530581 Henry Cohn, 2025, needs more optimization.
30 609 0.240183373235 Henry Cohn, 2025, needs more optimization.
30 610 0.240410198348 Henry Cohn, 2025, needs more optimization.
30 611 0.240426538208 Henry Cohn, 2025, needs more optimization.
30 612 0.240484489241 Henry Cohn, 2025, needs more optimization.
30 613 0.240678821484 Henry Cohn, 2025, needs more optimization.
30 614 0.240868457839 Henry Cohn, 2025, needs more optimization.
30 615 0.240925633059 Henry Cohn, 2025, needs more optimization.
30 616 0.241038928256 Henry Cohn, 2025, needs more optimization.
30 617 0.241296149480 Henry Cohn, 2025, needs more optimization.
30 618 0.241337899963 Henry Cohn, 2025, needs more optimization.
30 619 0.241475685419 Henry Cohn, 2025, needs more optimization.
30 620 0.241536995588 Henry Cohn, 2025, needs more optimization.
30 621 0.241635701288 Henry Cohn, 2025, needs more optimization.
30 622 0.241957388273 Henry Cohn, 2025, needs more optimization.
30 623 0.242058408113 Henry Cohn, 2025, needs more optimization.
30 624 0.242141874850 Henry Cohn, 2025, needs more optimization.
30 625 0.242269607720 Henry Cohn, 2025, needs more optimization.
30 626 0.242361338725 Henry Cohn, 2025, needs more optimization.
30 627 0.242378884989 Henry Cohn, 2025, needs more optimization.
30 628 0.242708094290 Henry Cohn, 2025, needs more optimization.
30 629 0.243045025965 Henry Cohn, 2025, needs more optimization.
30 630 0.243139266362 Henry Cohn, 2025, needs more optimization.
30 631 0.243148893986 Henry Cohn, 2025, needs more optimization.
30 632 0.243181184280 Henry Cohn, 2025, needs more optimization.
30 633 0.243405279769 Henry Cohn, 2025, needs more optimization.
30 634 0.243452449079 Henry Cohn, 2025, needs more optimization.
30 635 0.243561476886 Henry Cohn, 2025, needs more optimization.
30 636 0.243720562984 Henry Cohn, 2025, needs more optimization.
30 637 0.243741050091 Henry Cohn, 2025, needs more optimization.
30 638 0.243800672954 Henry Cohn, 2025, needs more optimization.
30 639 0.244122984874 Henry Cohn, 2025, needs more optimization.
30 640 0.244161691289 Henry Cohn, 2025, needs more optimization.
30 641 0.244211801970 Henry Cohn, 2025, needs more optimization.
30 642 0.244262462824 Henry Cohn, 2025, needs more optimization.
30 643 0.244614836000 Henry Cohn, 2025, needs more optimization.
30 644 0.244626969618 Henry Cohn, 2025, needs more optimization.
30 645 0.244801572396 Henry Cohn, 2025, needs more optimization.
30 646 0.245016327916 Henry Cohn, 2025, needs more optimization.
30 647 0.245070909268 Henry Cohn, 2025, needs more optimization.
30 648 0.245130077730 Henry Cohn, 2025, needs more optimization.
30 649 0.245450915240 Henry Cohn, 2025, needs more optimization.
30 650 0.245462005805 Henry Cohn, 2025, needs more optimization.
30 651 0.245539052671 Henry Cohn, 2025, needs more optimization.
30 652 0.245606264387 Henry Cohn, 2025, needs more optimization.
30 653 0.245631532925 Henry Cohn, 2025, needs more optimization.
30 654 0.245681011631 Henry Cohn, 2025, needs more optimization.
30 655 0.246074914027 Henry Cohn, 2025, needs more optimization.
30 656 0.246111595383 Henry Cohn, 2025, needs more optimization.
30 657 0.246136612862 Henry Cohn, 2025, needs more optimization.
30 658 0.246423098198 Henry Cohn, 2025, needs more optimization.
30 659 0.246463378854 Henry Cohn, 2025, needs more optimization.
30 660 0.246547070385 Henry Cohn, 2025, needs more optimization.
30 661 0.246595375912 Henry Cohn, 2025, needs more optimization.
30 662 0.246915158521 Henry Cohn, 2025, needs more optimization.
30 663 0.246947434076 Henry Cohn, 2025, needs more optimization.
30 664 0.247204259756 Henry Cohn, 2025, needs more optimization.
30 665 0.247205775052 Henry Cohn, 2025, needs more optimization.
30 666 0.247278516728 Henry Cohn, 2025, needs more optimization.
30 667 0.247680157658 Henry Cohn, 2025, needs more optimization.
30 668 0.247725579839 Henry Cohn, 2025, needs more optimization.
30 669 0.247764548713 Henry Cohn, 2025, needs more optimization.
30 670 0.247773598794 Henry Cohn, 2025, needs more optimization.
30 671 0.248049615720 Henry Cohn, 2025, needs more optimization.
30 672 0.248103680464 Henry Cohn, 2025, needs more optimization.
30 673 0.248153448460 Henry Cohn, 2025, needs more optimization.
30 674 0.248367550725 Henry Cohn, 2025, needs more optimization.
30 675 0.248455429613 Henry Cohn, 2025, needs more optimization.
30 676 0.248524356181 Henry Cohn, 2025, needs more optimization.
30 677 0.248550455738 Henry Cohn, 2025, needs more optimization.
30 678 0.248937265309 Henry Cohn, 2025, needs more optimization.
30 930 0.25 Orthogonal union of 891 points in 22 dimensions and 39 points in 8 dimensions.
4⁢x−1
30 932 0.250142451869 Henry Cohn, 2025, needs more optimization.
30 1024 0.272727272728 Code with 1024 points in 22 dimensions.
11⁢x−3
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 0.030326003112 Henry Cohn, 2024.
31 65 0.038669332262 Henry Cohn, 2024, needs more optimization.
31 66 0.040829929940 Henry Cohn, 2025, needs more optimization.
31 67 0.043552672427 Henry Cohn, 2024, needs more optimization.
31 68 0.043771299231 Henry Cohn, 2024, needs more optimization.
31 69 0.044045329342 Henry Cohn, 2024, needs more optimization.
31 70 0.044243883742 Henry Cohn, 2024, needs more optimization.
31 71 0.045132353747 Henry Cohn, 2024, needs more optimization.
31 72 0.045925538212 Henry Cohn, 2025, needs more optimization.
31 73 0.050119316074 Henry Cohn, 2024, needs more optimization.
31 74 0.051386919945 Henry Cohn, 2024, needs more optimization.
31 75 0.052424769357 Henry Cohn, 2024, needs more optimization.
31 76 0.054086657923 Henry Cohn, 2024, needs more optimization.
31 77 0.055289732585 Henry Cohn, 2024, needs more optimization.
31 78 0.056605009210 Henry Cohn, 2025, needs more optimization.
31 79 0.057651857568 Henry Cohn, 2025, needs more optimization.
31 80 0.058931345598 Henry Cohn, 2025, needs more optimization.
31 81 0.060106987794 Henry Cohn, 2025, needs more optimization.
31 82 0.061432126603 Henry Cohn, 2025, needs more optimization.
31 83 0.062978405540 Henry Cohn, 2025, needs more optimization.
31 84 0.064032535346 Henry Cohn, 2024, needs more optimization.
31 85 0.065138698481 Henry Cohn, 2025, needs more optimization.
31 86 0.066350209613 Henry Cohn, 2025, needs more optimization.
31 87 0.067652344549 Henry Cohn, 2025, needs more optimization.
31 88 0.068598792241 Henry Cohn, 2025, needs more optimization.
31 89 0.069605044975 Henry Cohn, 2025, needs more optimization.
31 90 0.071145383644 Henry Cohn, 2025, needs more optimization.
31 91 0.072118959728 Henry Cohn, 2024, needs more optimization.
31 92 0.073179478118 Henry Cohn, 2025, needs more optimization.
31 93 0.074304491459 Henry Cohn, 2025, needs more optimization.
31 94 0.074964250946 Henry Cohn, 2025, needs more optimization.
31 95 0.075974448861 Henry Cohn, 2025, needs more optimization.
31 96 0.076221761442 Henry Cohn, 2025, needs more optimization.
31 97 0.076864357939 Henry Cohn, 2025, needs more optimization.
31 98 0.077649049920 Henry Cohn, 2025, needs more optimization.
31 99 0.078262864694 Henry Cohn, 2025, needs more optimization.
31 100 0.078682375334 Henry Cohn, 2025, needs more optimization.
31 101 0.079410657629 Henry Cohn, 2025, needs more optimization.
31 102 0.080473303444 Henry Cohn, 2025, needs more optimization.
31 103 0.080491497987 Henry Cohn, 2025, needs more optimization.
31 104 0.080521276718 Henry Cohn, 2025, needs more optimization.
31 105 0.081100641693 Henry Cohn, 2025, needs more optimization.
31 106 0.081353704838 Henry Cohn, 2025, needs more optimization.
31 107 0.081967301122 Henry Cohn, 2025, needs more optimization.
31 116 0.086333305850 Henry Cohn, 2024, needs more optimization.
31 117 0.088265538020 Henry Cohn, 2025, needs more optimization.
31 119 0.088384604201 Henry Cohn, 2024, needs more optimization.
31 120 0.088695981761 Henry Cohn, 2025, needs more optimization.
31 121 0.088794819607 Henry Cohn, 2025, needs more optimization.
31 122 0.097035708360 Henry Cohn, 2025, needs more optimization.
31 123 0.097708260044 Henry Cohn, 2025, needs more optimization.
31 124 0.098234525029 Henry Cohn, 2025, needs more optimization.
31 125 0.098808344893 Henry Cohn, 2025, needs more optimization.
31 126 0.099551875870 Henry Cohn, 2025, needs more optimization.
31 127 0.100273497115 Henry Cohn, 2025, needs more optimization.
31 128 0.100758397249 Henry Cohn, 2025, needs more optimization.
31 129 0.101193734346 Henry Cohn, 2025, needs more optimization.
31 130 0.101884764427 Henry Cohn, 2025, needs more optimization.
31 131 0.102380161922 Henry Cohn, 2025, needs more optimization.
31 132 0.103079066443 Henry Cohn, 2025, needs more optimization.
31 133 0.103654615415 Henry Cohn, 2025, needs more optimization.
31 134 0.104146041947 Henry Cohn, 2025, needs more optimization.
31 135 0.104666785841 Henry Cohn, 2025, needs more optimization.
31 136 0.105349392034 Henry Cohn, 2025, needs more optimization.
31 137 0.105680451233 Henry Cohn, 2025, needs more optimization.
31 138 0.106274029493 Henry Cohn, 2025, needs more optimization.
31 139 0.107083648697 Henry Cohn, 2025, needs more optimization.
31 140 0.107601402664 Henry Cohn, 2025, needs more optimization.
31 141 0.108059236933 Henry Cohn, 2025, needs more optimization.
31 142 0.108646771649 Henry Cohn, 2025, needs more optimization.
31 143 0.109336170692 Henry Cohn, 2025, needs more optimization.
31 144 0.109691055258 Henry Cohn, 2025, needs more optimization.
31 145 0.110369533085 Henry Cohn, 2025, needs more optimization.
31 146 0.110801000785 Henry Cohn, 2025, needs more optimization.
31 147 0.111542699474 Henry Cohn, 2025, needs more optimization.
31 148 0.112145954093 Henry Cohn, 2025, needs more optimization.
31 149 0.112964983214 Henry Cohn, 2025, needs more optimization.
31 150 0.113397667051 Henry Cohn, 2025, needs more optimization.
31 151 0.114083372721 Henry Cohn, 2025, needs more optimization.
31 152 0.114363111255 Henry Cohn, 2025, needs more optimization.
31 153 0.115010195506 Henry Cohn, 2025, needs more optimization.
31 154 0.115807190237 Henry Cohn, 2025, needs more optimization.
31 155 0.116197340515 Henry Cohn, 2025, needs more optimization.
31 156 0.117124841623 Henry Cohn, 2025, needs more optimization.
31 157 0.117582968751 Henry Cohn, 2025, needs more optimization.
31 158 0.118082661563 Henry Cohn, 2025, needs more optimization.
31 159 0.118806246876 Henry Cohn, 2025, needs more optimization.
31 160 0.119472369364 Henry Cohn, 2025, needs more optimization.
31 161 0.120274257751 Henry Cohn, 2025, needs more optimization.
31 162 0.120616043794 Henry Cohn, 2025, needs more optimization.
31 163 0.121416408303 Henry Cohn, 2025, needs more optimization.
31 164 0.122027170609 Henry Cohn, 2025, needs more optimization.
31 165 0.122609993274 Henry Cohn, 2025, needs more optimization.
31 166 0.123415708264 Henry Cohn, 2025, needs more optimization.
31 167 0.123889829394 Henry Cohn, 2025, needs more optimization.
31 168 0.124671597181 Henry Cohn, 2025, needs more optimization.
31 169 0.125245290625 Henry Cohn, 2025, needs more optimization.
31 170 0.125811947587 Henry Cohn, 2025, needs more optimization.
31 171 0.126352510411 Henry Cohn, 2025, needs more optimization.
31 172 0.127178294223 Henry Cohn, 2025, needs more optimization.
31 173 0.127788549974 Henry Cohn, 2025, needs more optimization.
31 174 0.128426292980 Henry Cohn, 2025, needs more optimization.
31 175 0.128902073597 Henry Cohn, 2025, needs more optimization.
31 176 0.129442019149 Henry Cohn, 2025, needs more optimization.
31 177 0.130188482685 Henry Cohn, 2025, needs more optimization.
31 178 0.130745140582 Henry Cohn, 2025, needs more optimization.
31 179 0.131409221137 Henry Cohn, 2025, needs more optimization.
31 180 0.132094366570 Henry Cohn, 2025, needs more optimization.
31 181 0.132685575181 Henry Cohn, 2025, needs more optimization.
31 182 0.133154641634 Henry Cohn, 2025, needs more optimization.
31 183 0.133535252026 Henry Cohn, 2025, needs more optimization.
31 184 0.133984897901 Henry Cohn, 2025, needs more optimization.
31 185 0.134781563186 Henry Cohn, 2025, needs more optimization.
31 186 0.135240996314 Henry Cohn, 2025, needs more optimization.
31 187 0.135909034638 Henry Cohn, 2025, needs more optimization.
31 188 0.136171180942 Henry Cohn, 2025, needs more optimization.
31 189 0.136927637912 Henry Cohn, 2025, needs more optimization.
31 190 0.137253327652 Henry Cohn, 2025, needs more optimization.
31 191 0.137281381685 Henry Cohn, 2025, needs more optimization.
31 192 0.137504005057 Henry Cohn, 2025, needs more optimization.
31 193 0.137588244365 Henry Cohn, 2025, needs more optimization.
31 194 0.138040147687 Henry Cohn, 2025, needs more optimization.
31 195 0.138294314255 Henry Cohn, 2025, needs more optimization.
31 196 0.138329429188 Henry Cohn, 2025, needs more optimization.
31 197 0.138510330756 Henry Cohn, 2025, needs more optimization.
31 198 0.138711382840 Henry Cohn, 2025, needs more optimization.
31 199 0.138878472114 Henry Cohn, 2025, needs more optimization.
31 200 0.139062535762 Henry Cohn, 2025, needs more optimization.
31 201 0.139294506308 Henry Cohn, 2025, needs more optimization.
31 202 0.139858292899 Henry Cohn, 2025, needs more optimization.
31 203 0.139974025616 Henry Cohn, 2025, needs more optimization.
31 204 0.140240791567 Henry Cohn, 2025, needs more optimization.
31 205 0.140323870932 Henry Cohn, 2025, needs more optimization.
31 206 0.140578322297 Henry Cohn, 2025, needs more optimization.
31 207 0.140637045688 Henry Cohn, 2025, needs more optimization.
31 208 0.140712634099 Henry Cohn, 2025, needs more optimization.
31 209 0.140842744542 Henry Cohn, 2025, needs more optimization.
31 210 0.141175295847 Henry Cohn, 2025, needs more optimization.
31 211 0.141190422116 Henry Cohn, 2025, needs more optimization.
31 212 0.141565618981 Henry Cohn, 2025, needs more optimization.
31 213 0.141641747196 Henry Cohn, 2025, needs more optimization.
31 214 0.141702494232 Henry Cohn, 2025, needs more optimization.
31 215 0.141860067086 Henry Cohn, 2025, needs more optimization.
31 216 0.141903069121 Henry Cohn, 2025, needs more optimization.
31 217 0.141942426291 Henry Cohn, 2025, needs more optimization.
31 218 0.142059102340 Henry Cohn, 2025, needs more optimization.
31 219 0.142077367183 Henry Cohn, 2025, needs more optimization.
31 220 0.142316973266 Henry Cohn, 2025, needs more optimization.
31 221 0.142368398068 Henry Cohn, 2025, needs more optimization.
31 222 0.142481863871 Henry Cohn, 2025, needs more optimization.
31 223 0.142515165786 Henry Cohn, 2025, needs more optimization.
31 224 0.142605742669 Henry Cohn, 2025, needs more optimization.
31 225 0.142640473762 Henry Cohn, 2025, needs more optimization.
31 226 0.142931792667 Henry Cohn, 2025, needs more optimization.
31 227 0.143268749098 Henry Cohn, 2025, needs more optimization.
31 228 0.143476506937 Henry Cohn, 2025, needs more optimization.
31 229 0.144065146294 Henry Cohn, 2025, needs more optimization.
31 230 0.145180904460 Henry Cohn, 2025, needs more optimization.
31 231 0.145224073196 Henry Cohn, 2025, needs more optimization.
31 232 0.145790451022 Henry Cohn, 2025, needs more optimization.
31 233 0.145846122292 Henry Cohn, 2025, needs more optimization.
31 234 0.145950534841 Henry Cohn, 2025, needs more optimization.
31 235 0.146906200145 Henry Cohn, 2025, needs more optimization.
31 236 0.147238193064 Henry Cohn, 2025, needs more optimization.
31 238 0.148235127439 Henry Cohn, 2025, needs more optimization.
31 239 0.148332931004 Henry Cohn, 2025, needs more optimization.
31 240 0.148352543894 Henry Cohn, 2025, needs more optimization.
31 241 0.149313553744 Henry Cohn, 2025, needs more optimization.
31 242 0.150231849413 Henry Cohn, 2025, needs more optimization.
31 243 0.150307660550 Henry Cohn, 2025, needs more optimization.
31 244 0.150819466321 Henry Cohn, 2025, needs more optimization.
31 245 0.151056898027 Henry Cohn, 2025, needs more optimization.
31 246 0.151909289113 Henry Cohn, 2025, needs more optimization.
31 247 0.152327908369 Henry Cohn, 2025, needs more optimization.
31 248 0.153695249043 Henry Cohn, 2025, needs more optimization.
31 249 0.153729039623 Henry Cohn, 2025, needs more optimization.
31 250 0.154290905855 Henry Cohn, 2025, needs more optimization.
31 251 0.154609112259 Henry Cohn, 2025, needs more optimization.
31 252 0.155477725796 Henry Cohn, 2025, needs more optimization.
31 253 0.155997595725 Henry Cohn, 2025, needs more optimization.
31 254 0.157654740345 Henry Cohn, 2025, needs more optimization.
31 255 0.158297584879 Henry Cohn, 2025, needs more optimization.
31 256 0.158303244396 Henry Cohn, 2025, needs more optimization.
31 258 0.158543292746 Henry Cohn, 2025, needs more optimization.
31 259 0.159182457083 Henry Cohn, 2025, needs more optimization.
31 260 0.159234609385 Henry Cohn, 2025, needs more optimization.
31 261 0.159251466186 Henry Cohn, 2025, needs more optimization.
31 262 0.159449200926 Henry Cohn, 2025, needs more optimization.
31 263 0.159697150863 Henry Cohn, 2025, needs more optimization.
31 264 0.159709255857 Henry Cohn, 2025, needs more optimization.
31 265 0.160089359361 Henry Cohn, 2025, needs more optimization.
31 266 0.160112149393 Henry Cohn, 2025, needs more optimization.
31 267 0.160124202490 Henry Cohn, 2025, needs more optimization.
31 268 0.160280002371 Henry Cohn, 2025, needs more optimization.
31 269 0.160786546146 Henry Cohn, 2025, needs more optimization.
31 270 0.161071524002 Henry Cohn, 2025, needs more optimization.
31 271 0.161076681005 Henry Cohn, 2025, needs more optimization.
31 272 0.161083944499 Henry Cohn, 2025, needs more optimization.
31 273 0.161125148447 Henry Cohn, 2025, needs more optimization.
31 274 0.161609769118 Henry Cohn, 2025, needs more optimization.
31 275 0.161650063174 Henry Cohn, 2025, needs more optimization.
31 277 0.161674219537 Henry Cohn, 2025, needs more optimization.
31 278 0.161777362899 Henry Cohn, 2025, needs more optimization.
31 279 0.161793074247 Henry Cohn, 2025, needs more optimization.
31 280 0.161804325028 Henry Cohn, 2025, needs more optimization.
31 281 0.161839014915 Henry Cohn, 2025, needs more optimization.
31 282 0.161972051960 Henry Cohn, 2025, needs more optimization.
31 283 0.162280792116 Henry Cohn, 2025, needs more optimization.
31 284 0.162657411140 Henry Cohn, 2025, needs more optimization.
31 285 0.162968175991 Henry Cohn, 2025, needs more optimization.
31 286 0.163714325625 Henry Cohn, 2025, needs more optimization.
31 287 0.164390111649 Henry Cohn, 2025, needs more optimization.
31 288 0.164424310447 Henry Cohn, 2025, needs more optimization.
31 289 0.164535514814 Henry Cohn, 2025, needs more optimization.
31 290 0.164695799092 Henry Cohn, 2025, needs more optimization.
31 291 0.164979071730 Henry Cohn, 2025, needs more optimization.
31 292 0.165034926629 Henry Cohn, 2025, needs more optimization.
31 293 0.165266113389 Henry Cohn, 2025, needs more optimization.
31 294 0.165427832094 Henry Cohn, 2025, needs more optimization.
31 296 0.165480506032 Henry Cohn, 2025, needs more optimization.
31 297 0.165616537988 Henry Cohn, 2025, needs more optimization.
31 299 0.165644536184 Henry Cohn, 2025, needs more optimization.
31 302 0.165679835982 Henry Cohn, 2025, needs more optimization.
31 304 0.166178758899 Henry Cohn, 2025, needs more optimization.
31 306 0.166219397666 Henry Cohn, 2025, needs more optimization.
31 307 0.166666666667 Orthogonal union of 275 points in 22 dimensions and 32 points in 9 dimensions.
6⁢x−1
31 309 0.175845734601 Henry Cohn, 2025, needs more optimization.
31 310 0.175982191522 Henry Cohn, 2025, needs more optimization.
31 312 0.176296554787 Orthogonal union of 310 points in 30 dimensions and 2 points in 1 dimension.
31 313 0.176300969509 Orthogonal union of 311 points in 30 dimensions and 2 points in 1 dimension.
31 314 0.176312527291 Orthogonal union of 312 points in 30 dimensions and 2 points in 1 dimension.
31 315 0.176338272057 Orthogonal union of 313 points in 30 dimensions and 2 points in 1 dimension.
31 316 0.176351961824 Orthogonal union of 314 points in 30 dimensions and 2 points in 1 dimension.
31 318 0.181818181819 Orthogonal union of 297 points in 24 dimensions and 21 points in 7 dimensions.
11⁢x−2
31 321 0.182743997632 Orthogonal union of 297 points in 24 dimensions and 24 points in 7 dimensions.
19⁢x2+2⁢x−1
31 322 0.183702340795 Henry Cohn, 2025, needs more optimization.
31 323 0.183772703359 Henry Cohn, 2025, needs more optimization.
31 324 0.184247297084 Henry Cohn, 2025, needs more optimization.
31 325 0.184397520364 Henry Cohn, 2025, needs more optimization.
31 326 0.184660976903 Henry Cohn, 2025, needs more optimization.
31 327 0.185023541793 Henry Cohn, 2025, needs more optimization.
31 328 0.185100340697 Henry Cohn, 2025, needs more optimization.
31 329 0.185405793393 Henry Cohn, 2025, needs more optimization.
31 330 0.185658455611 Henry Cohn, 2025, needs more optimization.
31 331 0.185928797072 Henry Cohn, 2025, needs more optimization.
31 332 0.186148612120 Henry Cohn, 2025, needs more optimization.
31 333 0.186457814427 Henry Cohn, 2025, needs more optimization.
31 334 0.186704641985 Henry Cohn, 2025, needs more optimization.
31 335 0.186933918059 Henry Cohn, 2025, needs more optimization.
31 336 0.187121271049 Henry Cohn, 2025, needs more optimization.
31 337 0.187345101059 Henry Cohn, 2025, needs more optimization.
31 338 0.187541378759 Henry Cohn, 2025, needs more optimization.
31 339 0.187839111338 Henry Cohn, 2025, needs more optimization.
31 340 0.188134099927 Henry Cohn, 2025, needs more optimization.
31 341 0.188216017003 Henry Cohn, 2025, needs more optimization.
31 342 0.188562737041 Henry Cohn, 2025, needs more optimization.
31 343 0.188796834109 Henry Cohn, 2025, needs more optimization.
31 344 0.188983182919 Henry Cohn, 2025, needs more optimization.
31 345 0.189396428044 Henry Cohn, 2025, needs more optimization.
31 346 0.189418619887 Henry Cohn, 2025, needs more optimization.
31 347 0.189607321648 Henry Cohn, 2025, needs more optimization.
31 348 0.189932809887 Henry Cohn, 2025, needs more optimization.
31 349 0.190184176132 Henry Cohn, 2025, needs more optimization.
31 350 0.190285718571 Henry Cohn, 2025, needs more optimization.
31 351 0.190576933807 Henry Cohn, 2025, needs more optimization.
31 352 0.190817571395 Henry Cohn, 2025, needs more optimization.
31 353 0.190975059953 Henry Cohn, 2025, needs more optimization.
31 354 0.191115607290 Henry Cohn, 2025, needs more optimization.
31 355 0.191518065758 Henry Cohn, 2025, needs more optimization.
31 356 0.191591169561 Henry Cohn, 2025, needs more optimization.
31 357 0.191906742401 Henry Cohn, 2025, needs more optimization.
31 358 0.192281566608 Henry Cohn, 2025, needs more optimization.
31 359 0.192496826507 Henry Cohn, 2025, needs more optimization.
31 360 0.192777404389 Henry Cohn, 2025, needs more optimization.
31 361 0.192837545691 Henry Cohn, 2025, needs more optimization.
31 362 0.193031282689 Henry Cohn, 2025, needs more optimization.
31 363 0.193262437106 Henry Cohn, 2025, needs more optimization.
31 364 0.193585034069 Henry Cohn, 2025, needs more optimization.
31 365 0.193717734756 Henry Cohn, 2025, needs more optimization.
31 366 0.193988001564 Henry Cohn, 2025, needs more optimization.
31 367 0.194446726412 Henry Cohn, 2025, needs more optimization.
31 368 0.194546986978 Henry Cohn, 2025, needs more optimization.
31 369 0.194787018279 Henry Cohn, 2025, needs more optimization.
31 370 0.194817418879 Henry Cohn, 2025, needs more optimization.
31 371 0.195068737144 Henry Cohn, 2025, needs more optimization.
31 372 0.195240288379 Henry Cohn, 2025, needs more optimization.
31 373 0.195404818143 Henry Cohn, 2025, needs more optimization.
31 374 0.195742628837 Henry Cohn, 2025, needs more optimization.
31 375 0.195935140582 Henry Cohn, 2025, needs more optimization.
31 376 0.196073029802 Henry Cohn, 2025, needs more optimization.
31 377 0.196296749383 Henry Cohn, 2025, needs more optimization.
31 378 0.196453581515 Henry Cohn, 2025, needs more optimization.
31 379 0.196789364101 Henry Cohn, 2025, needs more optimization.
31 380 0.197049716394 Henry Cohn, 2025, needs more optimization.
31 381 0.197152355413 Henry Cohn, 2025, needs more optimization.
31 382 0.197337612275 Henry Cohn, 2025, needs more optimization.
31 383 0.197701692038 Henry Cohn, 2025, needs more optimization.
31 384 0.197891104164 Henry Cohn, 2025, needs more optimization.
31 385 0.198071032658 Henry Cohn, 2025, needs more optimization.
31 386 0.198350567887 Henry Cohn, 2025, needs more optimization.
31 387 0.198654295189 Henry Cohn, 2025, needs more optimization.
31 388 0.198912165418 Henry Cohn, 2025, needs more optimization.
31 389 0.199230410410 Henry Cohn, 2025, needs more optimization.
31 581 0.2 Orthogonal union of 552 points in 23 dimensions and 29 points in 8 dimensions.
5⁢x−1
31 585 0.200453093210 Henry Cohn, 2025, needs more optimization.
31 586 0.230433310916 Henry Cohn, 2025, needs more optimization.
31 587 0.230653430709 Henry Cohn, 2025, needs more optimization.
31 588 0.230743190171 Henry Cohn, 2025, needs more optimization.
31 589 0.230984299287 Henry Cohn, 2025, needs more optimization.
31 591 0.231077964536 Henry Cohn, 2025, needs more optimization.
31 592 0.231233805102 Henry Cohn, 2025, needs more optimization.
31 593 0.231343757712 Henry Cohn, 2025, needs more optimization.
31 594 0.231584731571 Henry Cohn, 2025, needs more optimization.
31 595 0.231674644513 Henry Cohn, 2025, needs more optimization.
31 596 0.231818677085 Henry Cohn, 2025, needs more optimization.
31 598 0.231915526710 Henry Cohn, 2025, needs more optimization.
31 599 0.232130448968 Henry Cohn, 2025, needs more optimization.
31 600 0.232232443512 Henry Cohn, 2025, needs more optimization.
31 601 0.232452126715 Henry Cohn, 2025, needs more optimization.
31 602 0.232495609733 Henry Cohn, 2025, needs more optimization.
31 603 0.232662046355 Henry Cohn, 2025, needs more optimization.
31 604 0.232802656091 Henry Cohn, 2025, needs more optimization.
31 605 0.233049527905 Henry Cohn, 2025, needs more optimization.
31 607 0.233087998591 Henry Cohn, 2025, needs more optimization.
31 608 0.233203437636 Henry Cohn, 2025, needs more optimization.
31 609 0.233427338371 Henry Cohn, 2025, needs more optimization.
31 610 0.233529120120 Henry Cohn, 2025, needs more optimization.
31 611 0.233677038784 Henry Cohn, 2025, needs more optimization.
31 612 0.233896513246 Henry Cohn, 2025, needs more optimization.
31 614 0.234003251865 Henry Cohn, 2025, needs more optimization.
31 615 0.234276463129 Henry Cohn, 2025, needs more optimization.
31 616 0.234503594850 Henry Cohn, 2025, needs more optimization.
31 617 0.234538884539 Henry Cohn, 2025, needs more optimization.
31 618 0.234750317117 Henry Cohn, 2025, needs more optimization.
31 619 0.234825018286 Henry Cohn, 2025, needs more optimization.
31 620 0.234882232169 Henry Cohn, 2025, needs more optimization.
31 621 0.234951340636 Henry Cohn, 2025, needs more optimization.
31 622 0.235119140514 Henry Cohn, 2025, needs more optimization.
31 623 0.235237496569 Henry Cohn, 2025, needs more optimization.
31 624 0.235320215190 Henry Cohn, 2025, needs more optimization.
31 625 0.235426204317 Henry Cohn, 2025, needs more optimization.
31 626 0.235569955491 Henry Cohn, 2025, needs more optimization.
31 627 0.235783664124 Henry Cohn, 2025, needs more optimization.
31 628 0.235890385006 Henry Cohn, 2025, needs more optimization.
31 629 0.235993921560 Henry Cohn, 2025, needs more optimization.
31 630 0.236167881283 Henry Cohn, 2025, needs more optimization.
31 631 0.236218533179 Henry Cohn, 2025, needs more optimization.
31 632 0.236248239944 Henry Cohn, 2025, needs more optimization.
31 633 0.236437010790 Henry Cohn, 2025, needs more optimization.
31 634 0.236516501961 Henry Cohn, 2025, needs more optimization.
31 635 0.236650693762 Henry Cohn, 2025, needs more optimization.
31 636 0.236712758396 Henry Cohn, 2025, needs more optimization.
31 637 0.236942917519 Henry Cohn, 2025, needs more optimization.
31 638 0.237029823593 Henry Cohn, 2025, needs more optimization.
31 639 0.237205753698 Henry Cohn, 2025, needs more optimization.
31 640 0.237263417682 Henry Cohn, 2025, needs more optimization.
31 641 0.237387428270 Henry Cohn, 2025, needs more optimization.
31 642 0.237462778711 Henry Cohn, 2025, needs more optimization.
31 643 0.237597700163 Henry Cohn, 2025, needs more optimization.
31 644 0.237734531964 Henry Cohn, 2025, needs more optimization.
31 716 0.237823750553 Henry Cohn, 2025, needs more optimization.
31 717 0.237946093417 Henry Cohn, 2025, needs more optimization.
31 718 0.238370666364 Henry Cohn, 2025, needs more optimization.
31 719 0.238495016479 Henry Cohn, 2025, needs more optimization.
31 720 0.239038942272 Henry Cohn, 2025, needs more optimization.
31 721 0.239056661455 Henry Cohn, 2025, needs more optimization.
31 722 0.239234470580 Henry Cohn, 2025, needs more optimization.
31 723 0.239246288090 Henry Cohn, 2025, needs more optimization.
31 724 0.239252748519 Henry Cohn, 2025, needs more optimization.
31 725 0.239657913894 Henry Cohn, 2025, needs more optimization.
31 726 0.239667211875 Henry Cohn, 2025, needs more optimization.
31 727 0.239684490382 Henry Cohn, 2025, needs more optimization.
31 728 0.239698153838 Henry Cohn, 2025, needs more optimization.
31 729 0.239718054815 Henry Cohn, 2025, needs more optimization.
31 730 0.239780900945 Henry Cohn, 2025, needs more optimization.
31 731 0.240577058318 Henry Cohn, 2025, needs more optimization.
31 732 0.240581017057 Henry Cohn, 2025, needs more optimization.
31 733 0.240631988312 Henry Cohn, 2025, needs more optimization.
31 734 0.240649110856 Henry Cohn, 2025, needs more optimization.
31 735 0.240658038237 Henry Cohn, 2025, needs more optimization.
31 736 0.240666723540 Henry Cohn, 2025, needs more optimization.
31 737 0.240715582546 Henry Cohn, 2025, needs more optimization.
31 739 0.240719068977 Henry Cohn, 2025, needs more optimization.
31 740 0.241166761960 Henry Cohn, 2025, needs more optimization.
31 741 0.241191100266 Henry Cohn, 2025, needs more optimization.
31 742 0.241203844069 Henry Cohn, 2025, needs more optimization.
31 743 0.241210773065 Henry Cohn, 2025, needs more optimization.
31 745 0.241243107074 Henry Cohn, 2025, needs more optimization.
31 746 0.241260851228 Henry Cohn, 2025, needs more optimization.
31 747 0.241287103186 Henry Cohn, 2025, needs more optimization.
31 748 0.241603054967 Henry Cohn, 2025, needs more optimization.
31 749 0.241639240332 Henry Cohn, 2025, needs more optimization.
31 752 0.242175300678 Henry Cohn, 2025, needs more optimization.
31 753 0.242205668463 Henry Cohn, 2025, needs more optimization.
31 754 0.242257504327 Henry Cohn, 2025, needs more optimization.
31 755 0.242279046152 Henry Cohn, 2025, needs more optimization.
31 756 0.242317736108 Henry Cohn, 2025, needs more optimization.
31 757 0.242371606845 Henry Cohn, 2025, needs more optimization.
31 758 0.242480449904 Henry Cohn, 2025, needs more optimization.
31 759 0.242506649201 Henry Cohn, 2025, needs more optimization.
31 760 0.242535212965 Henry Cohn, 2025, needs more optimization.
31 761 0.242772168317 Henry Cohn, 2025, needs more optimization.
31 763 0.242811140275 Henry Cohn, 2025, needs more optimization.
31 764 0.242821376912 Henry Cohn, 2025, needs more optimization.
31 765 0.242837306473 Henry Cohn, 2025, needs more optimization.
31 766 0.243801749653 Henry Cohn, 2025, needs more optimization.
31 767 0.243835965795 Henry Cohn, 2025, needs more optimization.
31 768 0.243865034394 Henry Cohn, 2025, needs more optimization.
31 769 0.243875692630 Henry Cohn, 2025, needs more optimization.
31 770 0.243900739241 Henry Cohn, 2025, needs more optimization.
31 771 0.243916908834 Henry Cohn, 2025, needs more optimization.
31 772 0.243923835735 Henry Cohn, 2025, needs more optimization.
31 773 0.243980145816 Henry Cohn, 2025, needs more optimization.
31 774 0.244158347578 Henry Cohn, 2025, needs more optimization.
31 775 0.244221738615 Henry Cohn, 2025, needs more optimization.
31 776 0.244238598088 Henry Cohn, 2025, needs more optimization.
31 777 0.244260612719 Henry Cohn, 2025, needs more optimization.
31 778 0.244285052724 Henry Cohn, 2025, needs more optimization.
31 779 0.244296165096 Henry Cohn, 2025, needs more optimization.
31 780 0.244339508845 Henry Cohn, 2025, needs more optimization.
31 781 0.244355118099 Henry Cohn, 2025, needs more optimization.
31 782 0.244389704017 Henry Cohn, 2025, needs more optimization.
31 783 0.244733311532 Henry Cohn, 2025, needs more optimization.
31 784 0.245283209629 Henry Cohn, 2025, needs more optimization.
31 786 0.245301200674 Henry Cohn, 2025, needs more optimization.
31 789 0.245373602143 Henry Cohn, 2025, needs more optimization.
31 790 0.245469900379 Henry Cohn, 2025, needs more optimization.
31 791 0.245493066795 Henry Cohn, 2025, needs more optimization.
31 792 0.245598270579 Henry Cohn, 2025, needs more optimization.
31 794 0.245625866323 Henry Cohn, 2025, needs more optimization.
31 795 0.245649955077 Henry Cohn, 2025, needs more optimization.
31 797 0.245704816559 Henry Cohn, 2025, needs more optimization.
31 799 0.245742783264 Henry Cohn, 2025, needs more optimization.
31 800 0.245752928328 Henry Cohn, 2025, needs more optimization.
31 801 0.245761854695 Henry Cohn, 2025, needs more optimization.
31 802 0.245804024545 Henry Cohn, 2025, needs more optimization.
31 803 0.245825181763 Henry Cohn, 2025, needs more optimization.
31 804 0.245847954782 Henry Cohn, 2025, needs more optimization.
31 807 0.245863751162 Henry Cohn, 2025, needs more optimization.
31 808 0.245870783062 Henry Cohn, 2025, needs more optimization.
31 810 0.245894973473 Henry Cohn, 2025, needs more optimization.
31 811 0.245911407431 Henry Cohn, 2025, needs more optimization.
31 812 0.245954006398 Henry Cohn, 2025, needs more optimization.
31 814 0.245991999526 Henry Cohn, 2025, needs more optimization.
31 815 0.247192420453 Henry Cohn, 2025, needs more optimization.
31 816 0.247239235006 Henry Cohn, 2025, needs more optimization.
31 817 0.247241420276 Henry Cohn, 2025, needs more optimization.
31 818 0.247272699915 Henry Cohn, 2025, needs more optimization.
31 821 0.247274963193 Henry Cohn, 2025, needs more optimization.
31 822 0.247310801975 Henry Cohn, 2025, needs more optimization.
31 823 0.247311075507 Henry Cohn, 2025, needs more optimization.
31 824 0.247318639846 Henry Cohn, 2025, needs more optimization.
31 825 0.247328822252 Henry Cohn, 2025, needs more optimization.
31 826 0.247355472004 Henry Cohn, 2025, needs more optimization.
31 827 0.247381861244 Henry Cohn, 2025, needs more optimization.
31 828 0.247398900744 Henry Cohn, 2025, needs more optimization.
31 830 0.247450081067 Henry Cohn, 2025, needs more optimization.
31 831 0.247469084331 Henry Cohn, 2025, needs more optimization.
31 832 0.247489329310 Henry Cohn, 2025, needs more optimization.
31 833 0.247491709629 Henry Cohn, 2025, needs more optimization.
31 835 0.247506397690 Henry Cohn, 2025, needs more optimization.
31 836 0.247529553278 Henry Cohn, 2025, needs more optimization.
31 837 0.247557632015 Henry Cohn, 2025, needs more optimization.
31 838 0.247590470243 Henry Cohn, 2025, needs more optimization.
31 839 0.247621589329 Henry Cohn, 2025, needs more optimization.
31 840 0.247635555478 Henry Cohn, 2025, needs more optimization.
31 841 0.247659875131 Henry Cohn, 2025, needs more optimization.
31 842 0.247668809888 Henry Cohn, 2025, needs more optimization.
31 843 0.247681358926 Henry Cohn, 2025, needs more optimization.
31 844 0.247682092241 Henry Cohn, 2025, needs more optimization.
31 846 0.247706733117 Henry Cohn, 2025, needs more optimization.
31 847 0.247709403546 Henry Cohn, 2025, needs more optimization.
31 849 0.247718571941 Henry Cohn, 2025, needs more optimization.
31 852 0.247734973152 Henry Cohn, 2025, needs more optimization.
31 853 0.247741208292 Henry Cohn, 2025, needs more optimization.
31 854 0.247769660691 Henry Cohn, 2025, needs more optimization.
31 855 0.247775422848 Henry Cohn, 2025, needs more optimization.
31 856 0.247778647242 Henry Cohn, 2025, needs more optimization.
31 857 0.247789191513 Henry Cohn, 2025, needs more optimization.
31 858 0.247793451886 Henry Cohn, 2025, needs more optimization.
31 860 0.247806458154 Henry Cohn, 2025, needs more optimization.
31 861 0.247819592403 Henry Cohn, 2025, needs more optimization.
31 862 0.247821932653 Henry Cohn, 2025, needs more optimization.
31 863 0.247831465983 Henry Cohn, 2025, needs more optimization.
31 865 0.247841656083 Henry Cohn, 2025, needs more optimization.
31 866 0.247848629257 Henry Cohn, 2025, needs more optimization.
31 867 0.247871660715 Henry Cohn, 2025, needs more optimization.
31 868 0.247882069157 Henry Cohn, 2025, needs more optimization.
31 869 0.247889718785 Henry Cohn, 2025, needs more optimization.
31 870 0.247900977567 Henry Cohn, 2025, needs more optimization.
31 872 0.247920319803 Henry Cohn, 2025, needs more optimization.
31 873 0.247929347589 Henry Cohn, 2025, needs more optimization.
31 874 0.247935998726 Henry Cohn, 2025, needs more optimization.
31 875 0.247950148847 Henry Cohn, 2025, needs more optimization.
31 877 0.247960626196 Henry Cohn, 2025, needs more optimization.
31 878 0.248011467955 Henry Cohn, 2025, needs more optimization.
31 881 0.248023619559 Henry Cohn, 2025, needs more optimization.
31 882 0.248034688892 Henry Cohn, 2025, needs more optimization.
31 883 0.248245140502 Henry Cohn, 2025, needs more optimization.
31 886 0.248875186416 Henry Cohn, 2025, needs more optimization.
31 894 0.248876910722 Henry Cohn, 2025, needs more optimization.
31 896 0.248893374833 Henry Cohn, 2025, needs more optimization.
31 897 0.248944967250 Henry Cohn, 2025, needs more optimization.
31 898 0.248976413080 Henry Cohn, 2025, needs more optimization.
31 899 0.248997022696 Henry Cohn, 2025, needs more optimization.
31 900 0.249026346855 Henry Cohn, 2025, needs more optimization.
31 901 0.249040867997 Henry Cohn, 2025, needs more optimization.
31 904 0.249140059178 Henry Cohn, 2025, needs more optimization.
31 905 0.249150084391 Henry Cohn, 2025, needs more optimization.
31 906 0.249159227976 Henry Cohn, 2025, needs more optimization.
31 907 0.249177105965 Henry Cohn, 2025, needs more optimization.
31 908 0.249184040227 Henry Cohn, 2025, needs more optimization.
31 909 0.249198297736 Henry Cohn, 2025, needs more optimization.
31 910 0.249199006751 Henry Cohn, 2025, needs more optimization.
31 913 0.249223367731 Henry Cohn, 2025, needs more optimization.
31 914 0.249231634989 Henry Cohn, 2025, needs more optimization.
31 915 0.249241476514 Henry Cohn, 2025, needs more optimization.
31 917 0.249250187800 Henry Cohn, 2025, needs more optimization.
31 918 0.249292052530 Henry Cohn, 2025, needs more optimization.
31 920 0.249322245431 Henry Cohn, 2025, needs more optimization.
31 921 0.249335566821 Henry Cohn, 2025, needs more optimization.
31 922 0.249351447611 Henry Cohn, 2025, needs more optimization.
31 923 0.249412034980 Henry Cohn, 2025, needs more optimization.
31 924 0.249419502219 Henry Cohn, 2025, needs more optimization.
31 925 0.249433063827 Henry Cohn, 2025, needs more optimization.
31 926 0.249446326421 Henry Cohn, 2025, needs more optimization.
31 927 0.249458978972 Henry Cohn, 2025, needs more optimization.
31 928 0.249467536894 Henry Cohn, 2025, needs more optimization.
31 929 0.249469923779 Henry Cohn, 2025, needs more optimization.
31 930 0.249485288760 Henry Cohn, 2025, needs more optimization.
31 932 0.249539189305 Henry Cohn, 2025, needs more optimization.
31 933 0.249571976754 Henry Cohn, 2025, needs more optimization.
31 938 0.249601740936 Henry Cohn, 2025, needs more optimization.
31 939 0.249833466832 Henry Cohn, 2025, needs more optimization.
31 940 0.249854302795 Henry Cohn, 2025, needs more optimization.
31 941 0.264412904223 Henry Cohn, 2025, needs more optimization.
31 942 0.264687339845 Henry Cohn, 2025, needs more optimization.
31 943 0.264740433847 Henry Cohn, 2025, needs more optimization.
31 944 0.264753309787 Henry Cohn, 2025, needs more optimization.
31 945 0.264799139858 Henry Cohn, 2025, needs more optimization.
31 946 0.264975600706 Henry Cohn, 2025, needs more optimization.
31 947 0.264980011485 Henry Cohn, 2025, needs more optimization.
31 948 0.265224985011 Henry Cohn, 2025, needs more optimization.
31 949 0.265235555157 Henry Cohn, 2025, needs more optimization.
31 950 0.265276920930 Henry Cohn, 2025, needs more optimization.
31 951 0.265337640289 Henry Cohn, 2025, needs more optimization.
31 952 0.265353103405 Henry Cohn, 2025, needs more optimization.
31 953 0.265667862714 Henry Cohn, 2025, needs more optimization.
31 954 0.265694317531 Henry Cohn, 2025, needs more optimization.
31 955 0.265731671831 Henry Cohn, 2025, needs more optimization.
31 956 0.265953490024 Henry Cohn, 2025, needs more optimization.
31 957 0.265966935504 Henry Cohn, 2025, needs more optimization.
31 958 0.265987722851 Henry Cohn, 2025, needs more optimization.
31 959 0.266340195723 Henry Cohn, 2025, needs more optimization.
31 960 0.266343436506 Henry Cohn, 2025, needs more optimization.
31 961 0.266380975357 Henry Cohn, 2025, needs more optimization.
31 962 0.266436991662 Henry Cohn, 2025, needs more optimization.
31 963 0.266519521283 Henry Cohn, 2025, needs more optimization.
31 964 0.266787950613 Henry Cohn, 2025, needs more optimization.
31 965 0.266804159818 Henry Cohn, 2025, needs more optimization.
31 966 0.266834306866 Henry Cohn, 2025, needs more optimization.
31 967 0.267186538625 Henry Cohn, 2025, needs more optimization.
31 968 0.267193016332 Henry Cohn, 2025, needs more optimization.
31 969 0.267244430360 Henry Cohn, 2025, needs more optimization.
31 970 0.267251938060 Henry Cohn, 2025, needs more optimization.
31 971 0.267318314480 Henry Cohn, 2025, needs more optimization.
31 972 0.267504349779 Henry Cohn, 2025, needs more optimization.
31 973 0.267515136447 Henry Cohn, 2025, needs more optimization.
31 974 0.267543732121 Henry Cohn, 2025, needs more optimization.
31 975 0.267559319819 Henry Cohn, 2025, needs more optimization.
31 976 0.267901247904 Henry Cohn, 2025, needs more optimization.
31 977 0.267912815436 Henry Cohn, 2025, needs more optimization.
31 978 0.268149576146 Henry Cohn, 2025, needs more optimization.
31 979 0.268163567051 Henry Cohn, 2025, needs more optimization.
31 980 0.268181922739 Henry Cohn, 2025, needs more optimization.
31 981 0.268197525273 Henry Cohn, 2025, needs more optimization.
31 982 0.268237645932 Henry Cohn, 2025, needs more optimization.
31 983 0.268544487128 Henry Cohn, 2025, needs more optimization.
31 984 0.268550386678 Henry Cohn, 2025, needs more optimization.
31 985 0.268633539027 Henry Cohn, 2025, needs more optimization.
31 986 0.268638361886 Henry Cohn, 2025, needs more optimization.
31 987 0.269100077863 Henry Cohn, 2025, needs more optimization.
31 988 0.269108279121 Henry Cohn, 2025, needs more optimization.
31 989 0.269173196840 Henry Cohn, 2025, needs more optimization.
31 990 0.269475276568 Henry Cohn, 2025, needs more optimization.
31 991 0.269514433630 Henry Cohn, 2025, needs more optimization.
31 992 0.269517680593 Henry Cohn, 2025, needs more optimization.
31 993 0.269570811830 Henry Cohn, 2025, needs more optimization.
31 994 0.269961925219 Henry Cohn, 2025, needs more optimization.
31 995 0.270021824494 Henry Cohn, 2025, needs more optimization.
31 996 0.270024345467 Henry Cohn, 2025, needs more optimization.
31 997 0.270077533946 Henry Cohn, 2025, needs more optimization.
31 998 0.270082811666 Henry Cohn, 2025, needs more optimization.
31 999 0.270422513645 Henry Cohn, 2025, needs more optimization.
31 1000 0.270467398256 Henry Cohn, 2025, needs more optimization.
31 1001 0.270527180041 Henry Cohn, 2025, needs more optimization.
31 1002 0.270530341462 Henry Cohn, 2025, needs more optimization.
31 1003 0.270546466036 Henry Cohn, 2025, needs more optimization.
31 1004 0.270875544175 Henry Cohn, 2025, needs more optimization.
31 1005 0.270906474251 Henry Cohn, 2025, needs more optimization.
31 1006 0.270922176417 Henry Cohn, 2025, needs more optimization.
31 1007 0.270955166191 Henry Cohn, 2025, needs more optimization.
31 1008 0.271412173321 Henry Cohn, 2025, needs more optimization.
31 1009 0.271427225900 Henry Cohn, 2025, needs more optimization.
31 1010 0.271511438962 Henry Cohn, 2025, needs more optimization.
31 1024 0.272727272728 Code with 1024 points in 22 dimensions.
11⁢x−3
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 0.029445000129 Henry Cohn, 2024, needs more optimization.
32 67 0.037581109828 Henry Cohn, 2024, needs more optimization.
32 68 0.039858033250 Henry Cohn, 2025, needs more optimization.
32 69 0.042684924285 Henry Cohn, 2024, needs more optimization.
32 70 0.043196421683 Henry Cohn, 2024, needs more optimization.
32 71 0.043562764207 Henry Cohn, 2024, needs more optimization.
32 72 0.043961874787 Henry Cohn, 2024, needs more optimization.
32 73 0.044524842229 Henry Cohn, 2024, needs more optimization.
32 74 0.045925538212 Orthogonal union of 72 points in 31 dimensions and 2 points in 1 dimension.
32 75 0.048982765833 Henry Cohn, 2025, needs more optimization.
32 76 0.050188725890 Henry Cohn, 2024, needs more optimization.
32 77 0.051454696848 Henry Cohn, 2024, needs more optimization.
32 78 0.052486824885 Henry Cohn, 2024, needs more optimization.
32 79 0.053704909815 Henry Cohn, 2024, needs more optimization.
32 80 0.055095466381 Henry Cohn, 2024, needs more optimization.
32 81 0.056196826671 Henry Cohn, 2024, needs more optimization.
32 82 0.057426824724 Henry Cohn, 2025, needs more optimization.
32 83 0.058540043699 Henry Cohn, 2024, needs more optimization.
32 84 0.059675410179 Henry Cohn, 2025, needs more optimization.
32 85 0.060934954661 Henry Cohn, 2024, needs more optimization.
32 86 0.062037384830 Henry Cohn, 2025, needs more optimization.
32 87 0.063263640075 Henry Cohn, 2025, needs more optimization.
32 88 0.064385294642 Henry Cohn, 2025, needs more optimization.
32 89 0.065598655681 Henry Cohn, 2025, needs more optimization.
32 90 0.066441658045 Henry Cohn, 2025, needs more optimization.
32 91 0.067805877850 Henry Cohn, 2025, needs more optimization.
32 92 0.068771649322 Henry Cohn, 2024, needs more optimization.
32 93 0.069849010021 Henry Cohn, 2025, needs more optimization.
32 94 0.070671826659 Henry Cohn, 2025, needs more optimization.
32 95 0.071741773798 Henry Cohn, 2025, needs more optimization.
32 96 0.072931750485 Henry Cohn, 2025, needs more optimization.
32 97 0.073938556941 Henry Cohn, 2025, needs more optimization.
32 98 0.074776041191 Henry Cohn, 2024, needs more optimization.
32 99 0.075683199560 Henry Cohn, 2025, needs more optimization.
32 100 0.076403297213 Henry Cohn, 2025, needs more optimization.
32 101 0.076549825000 Henry Cohn, 2025, needs more optimization.
32 102 0.077191421162 Henry Cohn, 2025, needs more optimization.
32 103 0.077901624119 Henry Cohn, 2025, needs more optimization.
32 104 0.078506895489 Henry Cohn, 2025, needs more optimization.
32 105 0.079370054264 Henry Cohn, 2025, needs more optimization.
32 106 0.079638683747 Henry Cohn, 2025, needs more optimization.
32 107 0.079818755594 Henry Cohn, 2025, needs more optimization.
32 108 0.080015575145 Henry Cohn, 2025, needs more optimization.
32 109 0.080720218126 Henry Cohn, 2025, needs more optimization.
32 110 0.080945414159 Henry Cohn, 2025, needs more optimization.
32 111 0.081579403424 Henry Cohn, 2025, needs more optimization.
32 112 0.081971858331 Henry Cohn, 2025, needs more optimization.
32 113 0.082429079219 Henry Cohn, 2025, needs more optimization.
32 114 0.083076193100 Henry Cohn, 2025, needs more optimization.
32 115 0.083794420209 Henry Cohn, 2025, needs more optimization.
32 116 0.084151434348 Henry Cohn, 2025, needs more optimization.
32 117 0.084802123423 Henry Cohn, 2025, needs more optimization.
32 118 0.085032473214 Henry Cohn, 2025, needs more optimization.
32 119 0.085209110970 Henry Cohn, 2025, needs more optimization.
32 120 0.086172263213 Henry Cohn, 2025, needs more optimization.
32 121 0.087115245525 Henry Cohn, 2024, needs more optimization.
32 122 0.087501005282 Henry Cohn, 2025, needs more optimization.
32 123 0.087621223334 Henry Cohn, 2025, needs more optimization.
32 124 0.094234897151 Henry Cohn, 2025, needs more optimization.
32 125 0.094876996975 Henry Cohn, 2025, needs more optimization.
32 126 0.095172495804 Henry Cohn, 2025, needs more optimization.
32 127 0.095940225064 Henry Cohn, 2025, needs more optimization.
32 128 0.096637298344 Henry Cohn, 2025, needs more optimization.
32 129 0.097126777626 Henry Cohn, 2025, needs more optimization.
32 130 0.097747023408 Henry Cohn, 2025, needs more optimization.
32 131 0.098371072747 Henry Cohn, 2025, needs more optimization.
32 132 0.098895234374 Henry Cohn, 2025, needs more optimization.
32 133 0.099530595430 Henry Cohn, 2025, needs more optimization.
32 134 0.100154446782 Henry Cohn, 2025, needs more optimization.
32 135 0.100823332566 Henry Cohn, 2025, needs more optimization.
32 136 0.100925116073 Henry Cohn, 2025, needs more optimization.
32 137 0.101657583531 Henry Cohn, 2025, needs more optimization.
32 138 0.102158095676 Henry Cohn, 2025, needs more optimization.
32 139 0.102625567194 Henry Cohn, 2025, needs more optimization.
32 140 0.103250110835 Henry Cohn, 2025, needs more optimization.
32 141 0.103788482202 Henry Cohn, 2025, needs more optimization.
32 142 0.104251475367 Henry Cohn, 2025, needs more optimization.
32 143 0.105083352166 Henry Cohn, 2025, needs more optimization.
32 144 0.105473393642 Henry Cohn, 2025, needs more optimization.
32 145 0.106016763183 Henry Cohn, 2025, needs more optimization.
32 146 0.106443242830 Henry Cohn, 2025, needs more optimization.
32 147 0.106840632370 Henry Cohn, 2025, needs more optimization.
32 148 0.107609329454 Henry Cohn, 2025, needs more optimization.
32 149 0.108118803184 Henry Cohn, 2025, needs more optimization.
32 150 0.108771510071 Henry Cohn, 2025, needs more optimization.
32 151 0.109139785969 Henry Cohn, 2025, needs more optimization.
32 152 0.109673871499 Henry Cohn, 2025, needs more optimization.
32 153 0.110286536386 Henry Cohn, 2025, needs more optimization.
32 154 0.110685628746 Henry Cohn, 2025, needs more optimization.
32 155 0.111352421457 Henry Cohn, 2025, needs more optimization.
32 156 0.112233684813 Henry Cohn, 2025, needs more optimization.
32 157 0.112669620740 Henry Cohn, 2025, needs more optimization.
32 158 0.113331725291 Henry Cohn, 2025, needs more optimization.
32 159 0.113897596383 Henry Cohn, 2025, needs more optimization.
32 160 0.114283734820 Henry Cohn, 2025, needs more optimization.
32 161 0.114882011119 Henry Cohn, 2025, needs more optimization.
32 162 0.115414157185 Henry Cohn, 2025, needs more optimization.
32 163 0.116002812411 Henry Cohn, 2025, needs more optimization.
32 164 0.116770048087 Henry Cohn, 2025, needs more optimization.
32 165 0.117060268291 Henry Cohn, 2025, needs more optimization.
32 166 0.117773552915 Henry Cohn, 2025, needs more optimization.
32 167 0.118474296423 Henry Cohn, 2025, needs more optimization.
32 168 0.119018928256 Henry Cohn, 2025, needs more optimization.
32 169 0.119602195600 Henry Cohn, 2025, needs more optimization.
32 170 0.120202369801 Henry Cohn, 2025, needs more optimization.
32 171 0.120979650906 Henry Cohn, 2025, needs more optimization.
32 172 0.121596721794 Henry Cohn, 2025, needs more optimization.
32 173 0.121906422520 Henry Cohn, 2025, needs more optimization.
32 174 0.122529938280 Henry Cohn, 2025, needs more optimization.
32 175 0.123423787427 Henry Cohn, 2025, needs more optimization.
32 176 0.123896819758 Henry Cohn, 2025, needs more optimization.
32 177 0.124452260577 Henry Cohn, 2025, needs more optimization.
32 178 0.125010930328 Henry Cohn, 2025, needs more optimization.
32 179 0.125563974596 Henry Cohn, 2025, needs more optimization.
32 180 0.126097361505 Henry Cohn, 2025, needs more optimization.
32 181 0.126620766170 Henry Cohn, 2025, needs more optimization.
32 182 0.127256595222 Henry Cohn, 2025, needs more optimization.
32 183 0.127912998357 Henry Cohn, 2025, needs more optimization.
32 184 0.128611003651 Henry Cohn, 2025, needs more optimization.
32 185 0.128850011752 Henry Cohn, 2025, needs more optimization.
32 186 0.129526441257 Henry Cohn, 2025, needs more optimization.
32 187 0.130142944292 Henry Cohn, 2025, needs more optimization.
32 188 0.130544651315 Henry Cohn, 2025, needs more optimization.
32 189 0.131158181074 Henry Cohn, 2025, needs more optimization.
32 190 0.131738250450 Henry Cohn, 2025, needs more optimization.
32 191 0.132261874762 Henry Cohn, 2025, needs more optimization.
32 192 0.132603404896 Henry Cohn, 2025, needs more optimization.
32 193 0.133621615667 Henry Cohn, 2025, needs more optimization.
32 194 0.134027873351 Henry Cohn, 2025, needs more optimization.
32 195 0.134375418383 Henry Cohn, 2025, needs more optimization.
32 196 0.134763062511 Henry Cohn, 2025, needs more optimization.
32 197 0.134891503192 Henry Cohn, 2025, needs more optimization.
32 198 0.135270508075 Henry Cohn, 2025, needs more optimization.
32 199 0.135505747953 Henry Cohn, 2025, needs more optimization.
32 200 0.135810088878 Henry Cohn, 2025, needs more optimization.
32 201 0.136150455224 Henry Cohn, 2025, needs more optimization.
32 202 0.136390820094 Henry Cohn, 2025, needs more optimization.
32 203 0.136960842628 Henry Cohn, 2025, needs more optimization.
32 204 0.137779335193 Henry Cohn, 2025, needs more optimization.
32 205 0.137927032196 Henry Cohn, 2025, needs more optimization.
32 206 0.137976976737 Henry Cohn, 2025, needs more optimization.
32 207 0.138229602646 Henry Cohn, 2025, needs more optimization.
32 208 0.138304722365 Henry Cohn, 2025, needs more optimization.
32 209 0.138681003076 Henry Cohn, 2025, needs more optimization.
32 210 0.139001165617 Henry Cohn, 2025, needs more optimization.
32 211 0.139276130438 Henry Cohn, 2025, needs more optimization.
32 212 0.139369344388 Henry Cohn, 2025, needs more optimization.
32 213 0.139548273256 Henry Cohn, 2025, needs more optimization.
32 214 0.139698622108 Henry Cohn, 2025, needs more optimization.
32 215 0.139882392573 Henry Cohn, 2025, needs more optimization.
32 216 0.139914859995 Henry Cohn, 2025, needs more optimization.
32 217 0.140005441488 Henry Cohn, 2025, needs more optimization.
32 218 0.140278569541 Henry Cohn, 2025, needs more optimization.
32 219 0.140321253977 Henry Cohn, 2025, needs more optimization.
32 220 0.140942669324 Henry Cohn, 2025, needs more optimization.
32 221 0.140953022320 Henry Cohn, 2025, needs more optimization.
32 222 0.141032969530 Henry Cohn, 2025, needs more optimization.
32 223 0.141269241391 Henry Cohn, 2025, needs more optimization.
32 224 0.141315750775 Henry Cohn, 2025, needs more optimization.
32 225 0.141393422648 Henry Cohn, 2025, needs more optimization.
32 226 0.141497078519 Henry Cohn, 2025, needs more optimization.
32 227 0.141551322181 Henry Cohn, 2025, needs more optimization.
32 228 0.141582878409 Henry Cohn, 2025, needs more optimization.
32 229 0.141893370923 Henry Cohn, 2025, needs more optimization.
32 230 0.141935867048 Henry Cohn, 2025, needs more optimization.
32 231 0.142056122936 Henry Cohn, 2025, needs more optimization.
32 232 0.142156010320 Henry Cohn, 2025, needs more optimization.
32 233 0.142334883538 Henry Cohn, 2025, needs more optimization.
32 234 0.142396484656 Henry Cohn, 2025, needs more optimization.
32 235 0.142724133098 Henry Cohn, 2025, needs more optimization.
32 236 0.142820223328 Henry Cohn, 2025, needs more optimization.
32 237 0.143274504113 Henry Cohn, 2025, needs more optimization.
32 238 0.143330208765 Henry Cohn, 2025, needs more optimization.
32 239 0.143565436723 Henry Cohn, 2025, needs more optimization.
32 240 0.143730396484 Henry Cohn, 2025, needs more optimization.
32 241 0.144436163491 Henry Cohn, 2025, needs more optimization.
32 242 0.144716635926 Henry Cohn, 2025, needs more optimization.
32 243 0.145025517293 Henry Cohn, 2025, needs more optimization.
32 244 0.145333513620 Henry Cohn, 2025, needs more optimization.
32 245 0.145982435219 Henry Cohn, 2025, needs more optimization.
32 246 0.146484928255 Henry Cohn, 2025, needs more optimization.
32 247 0.147239575486 Henry Cohn, 2025, needs more optimization.
32 248 0.147680459505 Henry Cohn, 2025, needs more optimization.
32 249 0.147729154999 Henry Cohn, 2025, needs more optimization.
32 250 0.148200171315 Henry Cohn, 2025, needs more optimization.
32 251 0.153655109313 Henry Cohn, 2025, needs more optimization.
32 252 0.154276796565 Henry Cohn, 2025, needs more optimization.
32 253 0.154606628251 Henry Cohn, 2025, needs more optimization.
32 254 0.154689651991 Henry Cohn, 2025, needs more optimization.
32 255 0.154755948394 Henry Cohn, 2025, needs more optimization.
32 256 0.154943417728 Henry Cohn, 2025, needs more optimization.
32 257 0.155408234857 Henry Cohn, 2025, needs more optimization.
32 258 0.155905079874 Henry Cohn, 2025, needs more optimization.
32 259 0.155930496653 Henry Cohn, 2025, needs more optimization.
32 260 0.156195333795 Henry Cohn, 2025, needs more optimization.
32 261 0.156224544694 Henry Cohn, 2025, needs more optimization.
32 262 0.156404284187 Henry Cohn, 2025, needs more optimization.
32 263 0.156867082635 Henry Cohn, 2025, needs more optimization.
32 264 0.157061155425 Henry Cohn, 2025, needs more optimization.
32 265 0.157103298840 Henry Cohn, 2025, needs more optimization.
32 266 0.157224446066 Henry Cohn, 2025, needs more optimization.
32 267 0.157411134418 Henry Cohn, 2025, needs more optimization.
32 268 0.157971459109 Henry Cohn, 2025, needs more optimization.
32 269 0.157975903316 Henry Cohn, 2025, needs more optimization.
32 270 0.158047469227 Henry Cohn, 2025, needs more optimization.
32 271 0.158068110891 Henry Cohn, 2025, needs more optimization.
32 272 0.158178264476 Henry Cohn, 2025, needs more optimization.
32 273 0.158223812288 Henry Cohn, 2025, needs more optimization.
32 274 0.158388254457 Henry Cohn, 2025, needs more optimization.
32 275 0.158419660463 Henry Cohn, 2025, needs more optimization.
32 277 0.159054214422 Henry Cohn, 2025, needs more optimization.
32 278 0.159062460985 Henry Cohn, 2025, needs more optimization.
32 279 0.159103488098 Henry Cohn, 2025, needs more optimization.
32 280 0.159206630282 Henry Cohn, 2025, needs more optimization.
32 281 0.159225665470 Henry Cohn, 2025, needs more optimization.
32 282 0.159490648591 Henry Cohn, 2025, needs more optimization.
32 283 0.159853039613 Henry Cohn, 2025, needs more optimization.
32 284 0.159859793045 Henry Cohn, 2025, needs more optimization.
32 286 0.160132936670 Henry Cohn, 2025, needs more optimization.
32 287 0.160149692062 Henry Cohn, 2025, needs more optimization.
32 288 0.160367224429 Henry Cohn, 2025, needs more optimization.
32 290 0.161037845402 Henry Cohn, 2025, needs more optimization.
32 291 0.161260415545 Henry Cohn, 2025, needs more optimization.
32 292 0.161569158262 Henry Cohn, 2025, needs more optimization.
32 293 0.161772378365 Henry Cohn, 2025, needs more optimization.
32 294 0.162300612464 Henry Cohn, 2025, needs more optimization.
32 295 0.162384816998 Henry Cohn, 2025, needs more optimization.
32 296 0.162639124424 Henry Cohn, 2025, needs more optimization.
32 297 0.163002654764 Henry Cohn, 2025, needs more optimization.
32 298 0.163286037714 Henry Cohn, 2025, needs more optimization.
32 300 0.163566803235 Henry Cohn, 2025, needs more optimization.
32 301 0.163689274118 Henry Cohn, 2025, needs more optimization.
32 302 0.163890022231 Henry Cohn, 2025, needs more optimization.
32 303 0.164126920877 Henry Cohn, 2025, needs more optimization.
32 304 0.164276742422 Henry Cohn, 2025, needs more optimization.
32 306 0.164675717505 Henry Cohn, 2025, needs more optimization.
32 307 0.164944054639 Henry Cohn, 2025, needs more optimization.
32 308 0.165035113387 Henry Cohn, 2025, needs more optimization.
32 315 0.165180929222 Henry Cohn, 2025, needs more optimization.
32 316 0.167892124270 Henry Cohn, 2025, needs more optimization.
32 317 0.168031888211 Henry Cohn, 2025, needs more optimization.
32 318 0.168434482319 Henry Cohn, 2025, needs more optimization.
32 320 0.169019384578 Henry Cohn, 2025, needs more optimization.
32 321 0.169366545554 Henry Cohn, 2025, needs more optimization.
32 322 0.169456973316 Henry Cohn, 2025, needs more optimization.
32 323 0.169901794576 Henry Cohn, 2025, needs more optimization.
32 324 0.170197010566 Henry Cohn, 2025, needs more optimization.
32 325 0.170420618109 Henry Cohn, 2025, needs more optimization.
32 326 0.170956060120 Henry Cohn, 2025, needs more optimization.
32 327 0.171193220078 Henry Cohn, 2025, needs more optimization.
32 328 0.171603934326 Henry Cohn, 2025, needs more optimization.
32 329 0.171737110235 Henry Cohn, 2025, needs more optimization.
32 330 0.172229338008 Henry Cohn, 2025, needs more optimization.
32 331 0.172709711571 Henry Cohn, 2025, needs more optimization.
32 332 0.173239256270 Henry Cohn, 2025, needs more optimization.
32 333 0.173719081446 Henry Cohn, 2025, needs more optimization.
32 334 0.174221588146 Henry Cohn, 2025, needs more optimization.
32 335 0.174628468588 Henry Cohn, 2025, needs more optimization.
32 336 0.175195910653 Henry Cohn, 2025, needs more optimization.
32 338 0.175271853184 Henry Cohn, 2025, needs more optimization.
32 339 0.175542704070 Henry Cohn, 2025, needs more optimization.
32 340 0.175758774620 Henry Cohn, 2025, needs more optimization.
32 341 0.175844002722 Henry Cohn, 2025, needs more optimization.
32 342 0.175877851681 Henry Cohn, 2025, needs more optimization.
32 344 0.175959337514 Henry Cohn, 2025, needs more optimization.
32 345 0.175993713494 Henry Cohn, 2025, needs more optimization.
32 346 0.176338241241 Henry Cohn, 2025, needs more optimization.
32 347 0.176626625119 Henry Cohn, 2025, needs more optimization.
32 348 0.176648986176 Henry Cohn, 2025, needs more optimization.
32 352 0.176660689629 Henry Cohn, 2025, needs more optimization.
32 354 0.176994330347 Henry Cohn, 2025, needs more optimization.
32 355 0.177283206509 Henry Cohn, 2025, needs more optimization.
32 356 0.177385506485 Henry Cohn, 2025, needs more optimization.
32 357 0.177419058729 Henry Cohn, 2025, needs more optimization.
32 359 0.177586288573 Henry Cohn, 2025, needs more optimization.
32 361 0.177679359206 Henry Cohn, 2025, needs more optimization.
32 362 0.177792998085 Henry Cohn, 2025, needs more optimization.
32 363 0.177841263277 Henry Cohn, 2025, needs more optimization.
32 365 0.177912253546 Henry Cohn, 2025, needs more optimization.
32 367 0.177944152533 Henry Cohn, 2025, needs more optimization.
32 369 0.178110372719 Henry Cohn, 2025, needs more optimization.
32 370 0.178247869945 Henry Cohn, 2025, needs more optimization.
32 371 0.178264803532 Henry Cohn, 2025, needs more optimization.
32 372 0.178372801580 Henry Cohn, 2025, needs more optimization.
32 374 0.178440020867 Henry Cohn, 2025, needs more optimization.
32 376 0.178567003909 Henry Cohn, 2025, needs more optimization.
32 377 0.178569645575 Henry Cohn, 2025, needs more optimization.
32 378 0.178741516462 Henry Cohn, 2025, needs more optimization.
32 379 0.178948244787 Henry Cohn, 2025, needs more optimization.
32 380 0.179237851415 Henry Cohn, 2025, needs more optimization.
32 381 0.179261960888 Henry Cohn, 2025, needs more optimization.
32 382 0.179425212565 Henry Cohn, 2025, needs more optimization.
32 383 0.179494444084 Henry Cohn, 2025, needs more optimization.
32 384 0.179695000312 Henry Cohn, 2025, needs more optimization.
32 385 0.179720387236 Henry Cohn, 2025, needs more optimization.
32 386 0.179882126897 Henry Cohn, 2025, needs more optimization.
32 387 0.180125675524 Henry Cohn, 2025, needs more optimization.
32 388 0.180637614965 Henry Cohn, 2025, needs more optimization.
32 389 0.180713114838 Henry Cohn, 2025, needs more optimization.
32 391 0.180965463048 Henry Cohn, 2025, needs more optimization.
32 392 0.181155631070 Henry Cohn, 2025, needs more optimization.
32 393 0.181561284181 Henry Cohn, 2025, needs more optimization.
32 394 0.181877990671 Henry Cohn, 2025, needs more optimization.
32 395 0.181904290839 Henry Cohn, 2025, needs more optimization.
32 397 0.182195110152 Henry Cohn, 2025, needs more optimization.
32 398 0.182535921768 Henry Cohn, 2025, needs more optimization.
32 399 0.182725063632 Henry Cohn, 2025, needs more optimization.
32 400 0.183381012944 Henry Cohn, 2025, needs more optimization.
32 401 0.183747061631 Henry Cohn, 2025, needs more optimization.
32 402 0.183859865069 Henry Cohn, 2025, needs more optimization.
32 403 0.184189950886 Henry Cohn, 2025, needs more optimization.
32 406 0.184583349607 Henry Cohn, 2025, needs more optimization.
32 407 0.185225411417 Henry Cohn, 2025, needs more optimization.
32 408 0.185401526351 Henry Cohn, 2025, needs more optimization.
32 409 0.185751522446 Henry Cohn, 2025, needs more optimization.
32 412 0.185908576237 Henry Cohn, 2025, needs more optimization.
32 413 0.186122410800 Henry Cohn, 2025, needs more optimization.
32 414 0.186202507647 Henry Cohn, 2025, needs more optimization.
32 415 0.186488695326 Henry Cohn, 2025, needs more optimization.
32 416 0.187007670038 Henry Cohn, 2025, needs more optimization.
32 418 0.187342092808 Henry Cohn, 2025, needs more optimization.
32 419 0.187702696652 Henry Cohn, 2025, needs more optimization.
32 421 0.188139586621 Henry Cohn, 2025, needs more optimization.
32 422 0.188455066696 Henry Cohn, 2025, needs more optimization.
32 423 0.188611406067 Henry Cohn, 2025, needs more optimization.
32 424 0.188899704656 Henry Cohn, 2025, needs more optimization.
32 425 0.188963786167 Henry Cohn, 2025, needs more optimization.
32 426 0.189262730093 Henry Cohn, 2025, needs more optimization.
32 427 0.189576865750 Henry Cohn, 2025, needs more optimization.
32 428 0.190024390877 Henry Cohn, 2025, needs more optimization.
32 429 0.190372948842 Henry Cohn, 2025, needs more optimization.
32 430 0.190390783755 Henry Cohn, 2025, needs more optimization.
32 431 0.190436881140 Henry Cohn, 2025, needs more optimization.
32 432 0.190969495499 Henry Cohn, 2025, needs more optimization.
32 433 0.191182597539 Henry Cohn, 2025, needs more optimization.
32 435 0.191410434239 Henry Cohn, 2025, needs more optimization.
32 436 0.191608713496 Henry Cohn, 2025, needs more optimization.
32 437 0.191784445737 Henry Cohn, 2025, needs more optimization.
32 438 0.192061046438 Henry Cohn, 2025, needs more optimization.
32 439 0.192236740979 Henry Cohn, 2025, needs more optimization.
32 440 0.192971808456 Henry Cohn, 2025, needs more optimization.
32 441 0.192983614306 Henry Cohn, 2025, needs more optimization.
32 442 0.193098468049 Henry Cohn, 2025, needs more optimization.
32 443 0.193381247564 Henry Cohn, 2025, needs more optimization.
32 444 0.193468875122 Henry Cohn, 2025, needs more optimization.
32 445 0.193643473355 Henry Cohn, 2025, needs more optimization.
32 446 0.193974181747 Henry Cohn, 2025, needs more optimization.
32 447 0.194019442077 Henry Cohn, 2025, needs more optimization.
32 448 0.194126723328 Henry Cohn, 2025, needs more optimization.
32 449 0.194388427422 Henry Cohn, 2025, needs more optimization.
32 456 0.194644479691 Henry Cohn, 2025, needs more optimization.
32 461 0.194866409830 Henry Cohn, 2025, needs more optimization.
32 462 0.194953760385 Henry Cohn, 2025, needs more optimization.
32 463 0.195173286309 Henry Cohn, 2025, needs more optimization.
32 465 0.195259441156 Henry Cohn, 2025, needs more optimization.
32 466 0.195652348973 Henry Cohn, 2025, needs more optimization.
32 469 0.195808602461 Henry Cohn, 2025, needs more optimization.
32 470 0.196149124099 Henry Cohn, 2025, needs more optimization.
32 472 0.196211671272 Henry Cohn, 2025, needs more optimization.
32 473 0.196598625394 Henry Cohn, 2025, needs more optimization.
32 474 0.196958138167 Henry Cohn, 2025, needs more optimization.
32 475 0.197154762475 Henry Cohn, 2025, needs more optimization.
32 477 0.197198274450 Henry Cohn, 2025, needs more optimization.
32 479 0.197287806632 Henry Cohn, 2025, needs more optimization.
32 484 0.197823992729 Henry Cohn, 2025, needs more optimization.
32 485 0.198126794324 Henry Cohn, 2025, needs more optimization.
32 489 0.198178228170 Henry Cohn, 2025, needs more optimization.
32 490 0.198394951664 Henry Cohn, 2025, needs more optimization.
32 491 0.198570207999 Henry Cohn, 2025, needs more optimization.
32 492 0.198660461441 Henry Cohn, 2025, needs more optimization.
32 493 0.198910417179 Henry Cohn, 2025, needs more optimization.
32 496 0.199070748150 Henry Cohn, 2025, needs more optimization.
32 498 0.199114568556 Henry Cohn, 2025, needs more optimization.
32 500 0.199303135329 Henry Cohn, 2025, needs more optimization.
32 589 0.199961106066 Henry Cohn, 2025, needs more optimization.
32 590 0.200089241340 Henry Cohn, 2025, needs more optimization.
32 591 0.220037020118 Henry Cohn, 2025, needs more optimization.
32 592 0.220082201225 Henry Cohn, 2025, needs more optimization.
32 593 0.220176641778 Henry Cohn, 2025, needs more optimization.
32 594 0.220412475876 Henry Cohn, 2025, needs more optimization.
32 595 0.220433933593 Henry Cohn, 2025, needs more optimization.
32 597 0.220629765144 Henry Cohn, 2025, needs more optimization.
32 598 0.221001851651 Henry Cohn, 2025, needs more optimization.
32 599 0.221059446300 Henry Cohn, 2025, needs more optimization.
32 600 0.221278553115 Henry Cohn, 2025, needs more optimization.
32 601 0.221488016272 Henry Cohn, 2025, needs more optimization.
32 602 0.221567595015 Henry Cohn, 2025, needs more optimization.
32 603 0.221714533820 Henry Cohn, 2025, needs more optimization.
32 604 0.221887483371 Henry Cohn, 2025, needs more optimization.
32 605 0.221904671604 Henry Cohn, 2025, needs more optimization.
32 606 0.222035467238 Henry Cohn, 2025, needs more optimization.
32 607 0.222188287016 Henry Cohn, 2025, needs more optimization.
32 608 0.222494395798 Henry Cohn, 2025, needs more optimization.
32 609 0.222620129380 Henry Cohn, 2025, needs more optimization.
32 610 0.222886388495 Henry Cohn, 2025, needs more optimization.
32 611 0.222899778991 Henry Cohn, 2025, needs more optimization.
32 612 0.223013364418 Henry Cohn, 2025, needs more optimization.
32 613 0.223184306634 Henry Cohn, 2025, needs more optimization.
32 614 0.223396205968 Henry Cohn, 2025, needs more optimization.
32 615 0.223504497581 Henry Cohn, 2025, needs more optimization.
32 616 0.223646869383 Henry Cohn, 2025, needs more optimization.
32 617 0.223733097183 Henry Cohn, 2025, needs more optimization.
32 618 0.223877932568 Henry Cohn, 2025, needs more optimization.
32 619 0.224159366905 Henry Cohn, 2025, needs more optimization.
32 620 0.224202135872 Henry Cohn, 2025, needs more optimization.
32 621 0.224422563389 Henry Cohn, 2025, needs more optimization.
32 622 0.224630617108 Henry Cohn, 2025, needs more optimization.
32 623 0.224687164482 Henry Cohn, 2025, needs more optimization.
32 624 0.224714029728 Henry Cohn, 2025, needs more optimization.
32 625 0.224887286659 Henry Cohn, 2025, needs more optimization.
32 626 0.225126980486 Henry Cohn, 2025, needs more optimization.
32 627 0.225218604480 Henry Cohn, 2025, needs more optimization.
32 628 0.225475495299 Henry Cohn, 2025, needs more optimization.
32 629 0.225476470979 Henry Cohn, 2025, needs more optimization.
32 630 0.225671611316 Henry Cohn, 2025, needs more optimization.
32 631 0.225753784224 Henry Cohn, 2025, needs more optimization.
32 632 0.225992561226 Henry Cohn, 2025, needs more optimization.
32 633 0.226091544590 Henry Cohn, 2025, needs more optimization.
32 634 0.226239798265 Henry Cohn, 2025, needs more optimization.
32 635 0.226454975993 Henry Cohn, 2025, needs more optimization.
32 636 0.226623145041 Henry Cohn, 2025, needs more optimization.
32 637 0.226637644212 Henry Cohn, 2025, needs more optimization.
32 638 0.226886021073 Henry Cohn, 2025, needs more optimization.
32 639 0.227043065195 Henry Cohn, 2025, needs more optimization.
32 640 0.227142092379 Henry Cohn, 2025, needs more optimization.
32 641 0.227246972350 Henry Cohn, 2025, needs more optimization.
32 642 0.227323320224 Henry Cohn, 2025, needs more optimization.
32 643 0.227672026892 Henry Cohn, 2025, needs more optimization.
32 644 0.227903883448 Henry Cohn, 2025, needs more optimization.
32 645 0.228253090104 Henry Cohn, 2025, needs more optimization.
32 646 0.228266988435 Henry Cohn, 2025, needs more optimization.
32 647 0.228341233319 Henry Cohn, 2025, needs more optimization.
32 648 0.228406238772 Henry Cohn, 2025, needs more optimization.
32 649 0.228609192775 Henry Cohn, 2025, needs more optimization.
32 650 0.228709565022 Henry Cohn, 2025, needs more optimization.
32 651 0.229050739499 Henry Cohn, 2025, needs more optimization.
32 653 0.229061807520 Henry Cohn, 2025, needs more optimization.
32 654 0.229289433696 Henry Cohn, 2025, needs more optimization.
32 655 0.229452266026 Henry Cohn, 2025, needs more optimization.
32 657 0.229747532607 Henry Cohn, 2025, needs more optimization.
32 658 0.229843872455 Henry Cohn, 2025, needs more optimization.
32 659 0.230073174761 Henry Cohn, 2025, needs more optimization.
32 661 0.230090688961 Henry Cohn, 2025, needs more optimization.
32 662 0.230456997196 Henry Cohn, 2025, needs more optimization.
32 664 0.230553800274 Henry Cohn, 2025, needs more optimization.
32 665 0.230716550140 Henry Cohn, 2025, needs more optimization.
32 666 0.231004693724 Henry Cohn, 2025, needs more optimization.
32 667 0.231023309896 Henry Cohn, 2025, needs more optimization.
32 668 0.231130101193 Henry Cohn, 2025, needs more optimization.
32 669 0.231278496093 Henry Cohn, 2025, needs more optimization.
32 670 0.231298259341 Henry Cohn, 2025, needs more optimization.
32 671 0.231409963372 Henry Cohn, 2025, needs more optimization.
32 672 0.231591444268 Henry Cohn, 2025, needs more optimization.
32 673 0.231807065960 Henry Cohn, 2025, needs more optimization.
32 674 0.231808060593 Henry Cohn, 2025, needs more optimization.
32 675 0.231937043056 Henry Cohn, 2025, needs more optimization.
32 676 0.231961451952 Henry Cohn, 2025, needs more optimization.
32 679 0.232196523169 Henry Cohn, 2025, needs more optimization.
32 680 0.232313524034 Henry Cohn, 2025, needs more optimization.
32 681 0.232447310416 Henry Cohn, 2025, needs more optimization.
32 683 0.232581232936 Henry Cohn, 2025, needs more optimization.
32 684 0.232713363868 Henry Cohn, 2025, needs more optimization.
32 686 0.232757693129 Henry Cohn, 2025, needs more optimization.
32 687 0.232985567377 Henry Cohn, 2025, needs more optimization.
32 688 0.233033805144 Henry Cohn, 2025, needs more optimization.
32 689 0.233141458893 Henry Cohn, 2025, needs more optimization.
32 690 0.233154687365 Henry Cohn, 2025, needs more optimization.
32 691 0.233279294613 Henry Cohn, 2025, needs more optimization.
32 692 0.233408958177 Henry Cohn, 2025, needs more optimization.
32 693 0.233459682930 Henry Cohn, 2025, needs more optimization.
32 694 0.233477154490 Henry Cohn, 2025, needs more optimization.
32 695 0.233565110923 Henry Cohn, 2025, needs more optimization.
32 696 0.233677599234 Henry Cohn, 2025, needs more optimization.
32 697 0.233718777752 Henry Cohn, 2025, needs more optimization.
32 698 0.233814271789 Henry Cohn, 2025, needs more optimization.
32 699 0.233999718133 Henry Cohn, 2025, needs more optimization.
32 700 0.234216265896 Henry Cohn, 2025, needs more optimization.
32 701 0.234296771867 Henry Cohn, 2025, needs more optimization.
32 703 0.234303584030 Henry Cohn, 2025, needs more optimization.
32 704 0.234388126074 Henry Cohn, 2025, needs more optimization.
32 705 0.234462108116 Henry Cohn, 2025, needs more optimization.
32 706 0.234542638257 Henry Cohn, 2025, needs more optimization.
32 707 0.234672469631 Henry Cohn, 2025, needs more optimization.
32 708 0.234881649433 Henry Cohn, 2025, needs more optimization.
32 710 0.234927523430 Henry Cohn, 2025, needs more optimization.
32 711 0.235109567904 Henry Cohn, 2025, needs more optimization.
32 712 0.235128412630 Henry Cohn, 2025, needs more optimization.
32 715 0.235437749867 Henry Cohn, 2025, needs more optimization.
32 716 0.235488048888 Henry Cohn, 2025, needs more optimization.
32 717 0.235608336085 Henry Cohn, 2025, needs more optimization.
32 718 0.235746796533 Henry Cohn, 2025, needs more optimization.
32 720 0.235952100429 Henry Cohn, 2025, needs more optimization.
32 721 0.236037309462 Henry Cohn, 2025, needs more optimization.
32 722 0.236170005387 Henry Cohn, 2025, needs more optimization.
32 724 0.236309496240 Henry Cohn, 2025, needs more optimization.
32 726 0.236439822459 Henry Cohn, 2025, needs more optimization.
32 727 0.236593387648 Henry Cohn, 2025, needs more optimization.
32 729 0.236634668420 Henry Cohn, 2025, needs more optimization.
32 730 0.236775631360 Henry Cohn, 2025, needs more optimization.
32 731 0.236894205806 Henry Cohn, 2025, needs more optimization.
32 732 0.237008293120 Henry Cohn, 2025, needs more optimization.
32 733 0.237118408346 Henry Cohn, 2025, needs more optimization.
32 734 0.237133758542 Henry Cohn, 2025, needs more optimization.
32 735 0.237299646025 Henry Cohn, 2025, needs more optimization.
32 736 0.237359800843 Henry Cohn, 2025, needs more optimization.
32 737 0.237448764126 Henry Cohn, 2025, needs more optimization.
32 738 0.237575934304 Henry Cohn, 2025, needs more optimization.
32 739 0.237623951233 Henry Cohn, 2025, needs more optimization.
32 740 0.237760944114 Henry Cohn, 2025, needs more optimization.
32 741 0.237767070134 Henry Cohn, 2025, needs more optimization.
32 742 0.237964988646 Henry Cohn, 2025, needs more optimization.
32 744 0.238063612527 Henry Cohn, 2025, needs more optimization.
32 746 0.238168110921 Henry Cohn, 2025, needs more optimization.
32 748 0.238234796654 Henry Cohn, 2025, needs more optimization.
32 750 0.238469349254 Henry Cohn, 2025, needs more optimization.
32 752 0.238544873818 Henry Cohn, 2025, needs more optimization.
32 753 0.238701968751 Henry Cohn, 2025, needs more optimization.
32 754 0.238810945454 Henry Cohn, 2025, needs more optimization.
32 755 0.238883448734 Henry Cohn, 2025, needs more optimization.
32 756 0.238965413891 Henry Cohn, 2025, needs more optimization.
32 759 0.239134768064 Henry Cohn, 2025, needs more optimization.
32 760 0.239263798279 Henry Cohn, 2025, needs more optimization.
32 859 0.239289679131 Henry Cohn, 2025, needs more optimization.
32 860 0.239822364672 Henry Cohn, 2025, needs more optimization.
32 862 0.239882370831 Henry Cohn, 2025, needs more optimization.
32 863 0.239909998818 Henry Cohn, 2025, needs more optimization.
32 864 0.239941816876 Henry Cohn, 2025, needs more optimization.
32 865 0.240051783183 Henry Cohn, 2025, needs more optimization.
32 866 0.240165010253 Henry Cohn, 2025, needs more optimization.
32 867 0.240284359283 Henry Cohn, 2025, needs more optimization.
32 868 0.240292836568 Henry Cohn, 2025, needs more optimization.
32 869 0.240366716162 Henry Cohn, 2025, needs more optimization.
32 870 0.240501756441 Henry Cohn, 2025, needs more optimization.
32 871 0.240517959172 Henry Cohn, 2025, needs more optimization.
32 872 0.240543899582 Henry Cohn, 2025, needs more optimization.
32 873 0.240904597114 Henry Cohn, 2025, needs more optimization.
32 874 0.241122720169 Henry Cohn, 2025, needs more optimization.
32 876 0.241162050796 Henry Cohn, 2025, needs more optimization.
32 877 0.241181146590 Henry Cohn, 2025, needs more optimization.
32 878 0.241240631909 Henry Cohn, 2025, needs more optimization.
32 879 0.241473185913 Henry Cohn, 2025, needs more optimization.
32 880 0.241493082993 Henry Cohn, 2025, needs more optimization.
32 881 0.241503197504 Henry Cohn, 2025, needs more optimization.
32 883 0.241548205589 Henry Cohn, 2025, needs more optimization.
32 884 0.241562002333 Henry Cohn, 2025, needs more optimization.
32 885 0.241588337049 Henry Cohn, 2025, needs more optimization.
32 886 0.241809805175 Henry Cohn, 2025, needs more optimization.
32 887 0.241865999770 Henry Cohn, 2025, needs more optimization.
32 888 0.241877132226 Henry Cohn, 2025, needs more optimization.
32 889 0.241931921816 Henry Cohn, 2025, needs more optimization.
32 890 0.242161403689 Henry Cohn, 2025, needs more optimization.
32 891 0.242162157009 Henry Cohn, 2025, needs more optimization.
32 892 0.242464728016 Henry Cohn, 2025, needs more optimization.
32 893 0.242469488763 Henry Cohn, 2025, needs more optimization.
32 894 0.242474685425 Henry Cohn, 2025, needs more optimization.
32 895 0.242954215087 Henry Cohn, 2025, needs more optimization.
32 896 0.243122564587 Henry Cohn, 2025, needs more optimization.
32 897 0.243128419060 Henry Cohn, 2025, needs more optimization.
32 898 0.243166179791 Henry Cohn, 2025, needs more optimization.
32 899 0.243174826430 Henry Cohn, 2025, needs more optimization.
32 900 0.243227973915 Henry Cohn, 2025, needs more optimization.
32 901 0.243263164083 Henry Cohn, 2025, needs more optimization.
32 902 0.243308693746 Henry Cohn, 2025, needs more optimization.
32 903 0.243452141607 Henry Cohn, 2025, needs more optimization.
32 905 0.243503808468 Henry Cohn, 2025, needs more optimization.
32 907 0.243563049988 Henry Cohn, 2025, needs more optimization.
32 908 0.243578370856 Henry Cohn, 2025, needs more optimization.
32 909 0.243841801795 Henry Cohn, 2025, needs more optimization.
32 910 0.244110456870 Henry Cohn, 2025, needs more optimization.
32 911 0.244121307944 Henry Cohn, 2025, needs more optimization.
32 912 0.244400917947 Henry Cohn, 2025, needs more optimization.
32 913 0.244432626549 Henry Cohn, 2025, needs more optimization.
32 914 0.244506849396 Henry Cohn, 2025, needs more optimization.
32 916 0.244621678909 Henry Cohn, 2025, needs more optimization.
32 917 0.244627289003 Henry Cohn, 2025, needs more optimization.
32 918 0.244807268168 Henry Cohn, 2025, needs more optimization.
32 919 0.245203498498 Henry Cohn, 2025, needs more optimization.
32 920 0.245268260883 Henry Cohn, 2025, needs more optimization.
32 921 0.245313975354 Henry Cohn, 2025, needs more optimization.
32 922 0.245336306457 Henry Cohn, 2025, needs more optimization.
32 923 0.245502428136 Henry Cohn, 2025, needs more optimization.
32 924 0.245536946263 Henry Cohn, 2025, needs more optimization.
32 925 0.245546431337 Henry Cohn, 2025, needs more optimization.
32 926 0.245557099851 Henry Cohn, 2025, needs more optimization.
32 927 0.245573815165 Henry Cohn, 2025, needs more optimization.
32 928 0.245732206008 Henry Cohn, 2025, needs more optimization.
32 929 0.245860251021 Henry Cohn, 2025, needs more optimization.
32 930 0.246162043466 Henry Cohn, 2025, needs more optimization.
32 932 0.246771282839 Henry Cohn, 2025, needs more optimization.
32 933 0.246791924522 Henry Cohn, 2025, needs more optimization.
32 934 0.246811033863 Henry Cohn, 2025, needs more optimization.
32 935 0.246840159893 Henry Cohn, 2025, needs more optimization.
32 936 0.246868639007 Henry Cohn, 2025, needs more optimization.
32 938 0.246906225629 Henry Cohn, 2025, needs more optimization.
32 939 0.246946076894 Henry Cohn, 2025, needs more optimization.
32 942 0.247603397328 Henry Cohn, 2025, needs more optimization.
32 943 0.247700181154 Henry Cohn, 2025, needs more optimization.
32 944 0.248100520426 Henry Cohn, 2025, needs more optimization.
32 945 0.248116826947 Henry Cohn, 2025, needs more optimization.
32 946 0.248142740521 Henry Cohn, 2025, needs more optimization.
32 948 0.248176801751 Henry Cohn, 2025, needs more optimization.
32 949 0.248500908932 Henry Cohn, 2025, needs more optimization.
32 950 0.248614852305 Henry Cohn, 2025, needs more optimization.
32 951 0.249079150792 Henry Cohn, 2025, needs more optimization.
32 952 0.249908844277 Henry Cohn, 2025, needs more optimization.
32 953 0.250550708055 Henry Cohn, 2025, needs more optimization.
32 954 0.259151623475 Henry Cohn, 2025, needs more optimization.
32 956 0.259500540689 Henry Cohn, 2025, needs more optimization.
32 957 0.259539763948 Henry Cohn, 2025, needs more optimization.
32 958 0.259582189147 Henry Cohn, 2025, needs more optimization.
32 959 0.259590999454 Henry Cohn, 2025, needs more optimization.
32 960 0.259615220800 Henry Cohn, 2025, needs more optimization.
32 961 0.259961651966 Henry Cohn, 2025, needs more optimization.
32 962 0.259986053039 Henry Cohn, 2025, needs more optimization.
32 963 0.260019297152 Henry Cohn, 2025, needs more optimization.
32 964 0.260277471505 Henry Cohn, 2025, needs more optimization.
32 965 0.260288582624 Henry Cohn, 2025, needs more optimization.
32 966 0.260344265878 Henry Cohn, 2025, needs more optimization.
32 967 0.260344899986 Henry Cohn, 2025, needs more optimization.
32 969 0.260547118439 Henry Cohn, 2025, needs more optimization.
32 970 0.260724642178 Henry Cohn, 2025, needs more optimization.
32 971 0.260751556979 Henry Cohn, 2025, needs more optimization.
32 972 0.260763416031 Henry Cohn, 2025, needs more optimization.
32 973 0.260927072420 Henry Cohn, 2025, needs more optimization.
32 974 0.260940592484 Henry Cohn, 2025, needs more optimization.
32 975 0.260953079655 Henry Cohn, 2025, needs more optimization.
32 976 0.261177085508 Henry Cohn, 2025, needs more optimization.
32 977 0.261198167082 Henry Cohn, 2025, needs more optimization.
32 978 0.261214850099 Henry Cohn, 2025, needs more optimization.
32 979 0.261220721403 Henry Cohn, 2025, needs more optimization.
32 980 0.261519723017 Henry Cohn, 2025, needs more optimization.
32 981 0.261527699132 Henry Cohn, 2025, needs more optimization.
32 982 0.261533209686 Henry Cohn, 2025, needs more optimization.
32 983 0.261556146313 Henry Cohn, 2025, needs more optimization.
32 984 0.261605969211 Henry Cohn, 2025, needs more optimization.
32 985 0.261987485136 Henry Cohn, 2025, needs more optimization.
32 986 0.262010189192 Henry Cohn, 2025, needs more optimization.
32 987 0.262047062923 Henry Cohn, 2025, needs more optimization.
32 988 0.262084630966 Henry Cohn, 2025, needs more optimization.
32 989 0.262114470205 Henry Cohn, 2025, needs more optimization.
32 990 0.262150550390 Henry Cohn, 2025, needs more optimization.
32 991 0.262362390886 Henry Cohn, 2025, needs more optimization.
32 992 0.262369940713 Henry Cohn, 2025, needs more optimization.
32 993 0.262469219029 Henry Cohn, 2025, needs more optimization.
32 994 0.262777824901 Henry Cohn, 2025, needs more optimization.
32 995 0.262783161994 Henry Cohn, 2025, needs more optimization.
32 996 0.262810711947 Henry Cohn, 2025, needs more optimization.
32 998 0.262876463067 Henry Cohn, 2025, needs more optimization.
32 999 0.262918049522 Henry Cohn, 2025, needs more optimization.
32 1000 0.263176536983 Henry Cohn, 2025, needs more optimization.
32 1001 0.263189616561 Henry Cohn, 2025, needs more optimization.
32 1002 0.263211709075 Henry Cohn, 2025, needs more optimization.
32 1003 0.263473777544 Henry Cohn, 2025, needs more optimization.
32 1004 0.263511013380 Henry Cohn, 2025, needs more optimization.
32 1005 0.263520816475 Henry Cohn, 2025, needs more optimization.
32 1006 0.263761600992 Henry Cohn, 2025, needs more optimization.
32 1007 0.263797792248 Henry Cohn, 2025, needs more optimization.
32 1009 0.263834359396 Henry Cohn, 2025, needs more optimization.
32 1010 0.264160088428 Henry Cohn, 2025, needs more optimization.
32 1011 0.264187340476 Henry Cohn, 2025, needs more optimization.
32 1012 0.264226424163 Henry Cohn, 2025, needs more optimization.
32 1013 0.264255541662 Henry Cohn, 2025, needs more optimization.
32 1014 0.264269113492 Henry Cohn, 2025, needs more optimization.
32 1015 0.264428625237 Henry Cohn, 2025, needs more optimization.
32 1018 0.264564916703 Henry Cohn, 2025, needs more optimization.
32 1019 0.264748561005 Henry Cohn, 2025, needs more optimization.
32 1021 0.265049034265 Henry Cohn, 2025, needs more optimization.
32 1022 0.265253353984 Henry Cohn, 2025, needs more optimization.
32 1023 0.265266706775 Henry Cohn, 2025, needs more optimization.
32 1024 0.265305948960 Henry Cohn, 2025, needs more optimization.
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