Label |
Polynomial |
Degree |
Signature |
Discriminant |
Ram. prime count |
Root discriminant |
Galois root discriminant |
CM field |
Galois |
Monogenic |
Galois group |
Class group |
Unit group torsion |
Unit group rank |
Regulator |
24.0.711...256.1 |
$x^{24} + x^{22} - x^{18} - x^{16} + x^{12} - x^{8} - x^{6} + x^{2} + 1$ |
$24$ |
[0,12] |
$2^{24}\cdot 3^{12}\cdot 7^{20}$ |
$3$ |
$17.5323038886$ |
$17.532303888591755$ |
✓ |
✓ |
✓ |
$C_2^2\times C_6$ (as 24T3) |
trivial |
$84$ |
$11$ |
$2172613.5864137784$ |
24.0.103...625.1 |
$x^{24} - x^{23} - x^{22} + 4 x^{21} - 4 x^{20} - 4 x^{19} + 17 x^{18} + 12 x^{17} - 46 x^{16} + 43 x^{15} + 44 x^{14} - 188 x^{13} + 189 x^{12} + 188 x^{11} + 44 x^{10} - 43 x^{9} - 46 x^{8} - 12 x^{7} + 17 x^{6} + 4 x^{5} - 4 x^{4} - 4 x^{3} - x^{2} + x + 1$ |
$24$ |
[0,12] |
$3^{12}\cdot 5^{12}\cdot 7^{20}$ |
$3$ |
$19.6017116485$ |
$19.601711648537535$ |
✓ |
✓ |
? |
$C_2^2\times C_6$ (as 24T3) |
trivial |
$42$ |
$11$ |
$4608312.303502872$ |
24.0.224...656.1 |
$x^{24} - x^{20} + x^{16} - x^{12} + x^{8} - x^{4} + 1$ |
$24$ |
[0,12] |
$2^{48}\cdot 7^{20}$ |
$2$ |
$20.2445607392$ |
$20.244560739185545$ |
✓ |
✓ |
✓ |
$C_2^2\times C_6$ (as 24T3) |
$[2]$ |
$56$ |
$11$ |
$7024849.183363979$ |
24.0.422...376.1 |
$x^{24} - x^{12} + 1$ |
$24$ |
[0,12] |
$2^{48}\cdot 3^{36}$ |
$2$ |
$20.7846096908$ |
$20.784609690826528$ |
✓ |
✓ |
✓ |
$C_2^2\times C_6$ (as 24T3) |
$[3]$ |
$72$ |
$11$ |
$7554465.931561073$ |
24.0.326...000.1 |
$x^{24} - 3 x^{22} + 8 x^{20} - 21 x^{18} + 55 x^{16} - 144 x^{14} + 377 x^{12} - 144 x^{10} + 55 x^{8} - 21 x^{6} + 8 x^{4} - 3 x^{2} + 1$ |
$24$ |
[0,12] |
$2^{24}\cdot 5^{12}\cdot 7^{20}$ |
$3$ |
$22.6341069937$ |
$22.634106993721137$ |
✓ |
✓ |
? |
$C_2^2\times C_6$ (as 24T3) |
$[3]$ |
$28$ |
$11$ |
$12419221.75230148$ |
24.0.614...000.1 |
$x^{24} - 18 x^{18} + 323 x^{12} - 18 x^{6} + 1$ |
$24$ |
[0,12] |
$2^{24}\cdot 3^{36}\cdot 5^{12}$ |
$3$ |
$23.2379000772$ |
$23.2379000772445$ |
✓ |
✓ |
? |
$C_2^2\times C_6$ (as 24T3) |
$[3]$ |
$36$ |
$11$ |
$13636610.630449586$ |
24.0.291...576.1 |
$x^{24} - 2 x^{22} + 8 x^{18} - 16 x^{16} + 64 x^{12} - 256 x^{8} + 512 x^{6} - 2048 x^{2} + 4096$ |
$24$ |
[0,12] |
$2^{36}\cdot 3^{12}\cdot 7^{20}$ |
$3$ |
$24.7944219389$ |
$24.794421938893013$ |
✓ |
✓ |
? |
$C_2^2\times C_6$ (as 24T3) |
$[6]$ |
$42$ |
$11$ |
$25576950.522236273$ |
24.0.291...576.2 |
$x^{24} + 2 x^{22} - 8 x^{18} - 16 x^{16} + 64 x^{12} - 256 x^{8} - 512 x^{6} + 2048 x^{2} + 4096$ |
$24$ |
[0,12] |
$2^{36}\cdot 3^{12}\cdot 7^{20}$ |
$3$ |
$24.7944219389$ |
$24.794421938893013$ |
✓ |
✓ |
? |
$C_2^2\times C_6$ (as 24T3) |
$[7]$ |
$42$ |
$11$ |
$19752911.509995345$ |
24.0.497...896.1 |
$x^{24} - 13 x^{20} + 143 x^{16} - 336 x^{12} + 663 x^{8} - 26 x^{4} + 1$ |
$24$ |
[0,12] |
$2^{48}\cdot 3^{12}\cdot 7^{16}$ |
$3$ |
$25.3524136407$ |
$25.352413640746768$ |
✓ |
✓ |
? |
$C_2^2\times C_6$ (as 24T3) |
$[3]$ |
$24$ |
$11$ |
$24013423.00725467$ |
24.0.348...336.1 |
$x^{24} - 9 x^{18} + 17 x^{12} - 576 x^{6} + 4096$ |
$24$ |
[0,12] |
$2^{24}\cdot 3^{36}\cdot 7^{12}$ |
$3$ |
$27.4954541697$ |
$27.49545416973504$ |
✓ |
✓ |
? |
$C_2^2\times C_6$ (as 24T3) |
$[7]$ |
$36$ |
$11$ |
$79907554.2564404$ |
24.0.723...000.1 |
$x^{24} - 15 x^{22} + 158 x^{20} - 789 x^{18} + 2798 x^{16} - 5124 x^{14} + 6639 x^{12} - 5271 x^{10} + 3030 x^{8} - 1062 x^{6} + 253 x^{4} - 18 x^{2} + 1$ |
$24$ |
[0,12] |
$2^{24}\cdot 3^{12}\cdot 5^{12}\cdot 7^{16}$ |
$4$ |
$28.3448601472$ |
$28.344860147201352$ |
✓ |
✓ |
? |
$C_2^2\times C_6$ (as 24T3) |
$[3]$ |
$12$ |
$11$ |
$39799331.07802784$ |
24.0.133...961.1 |
$x^{24} - x^{23} + 3 x^{22} - 8 x^{21} + 8 x^{20} - 24 x^{19} + 37 x^{18} - 120 x^{17} + 194 x^{16} - 329 x^{15} + 744 x^{14} - 904 x^{13} + 1633 x^{12} - 2712 x^{11} + 6696 x^{10} - 8883 x^{9} + 15714 x^{8} - 29160 x^{7} + 26973 x^{6} - 52488 x^{5} + 52488 x^{4} - 157464 x^{3} + 177147 x^{2} - 177147 x + 531441$ |
$24$ |
[0,12] |
$3^{12}\cdot 7^{20}\cdot 11^{12}$ |
$3$ |
$29.0740368545$ |
$29.074036854473896$ |
✓ |
✓ |
? |
$C_2^2\times C_6$ (as 24T3) |
$[9]$ |
$42$ |
$11$ |
$55738390.68907589$ |
24.0.169...056.1 |
$x^{24} - 11 x^{22} + 76 x^{20} - 327 x^{18} + 1031 x^{16} - 2261 x^{14} + 3677 x^{12} - 4001 x^{10} + 3091 x^{8} - 1302 x^{6} + 371 x^{4} - 21 x^{2} + 1$ |
$24$ |
[0,12] |
$2^{24}\cdot 3^{12}\cdot 13^{20}$ |
$3$ |
$29.3681608368$ |
$29.368160836761707$ |
✓ |
✓ |
|
$C_2^2\times C_6$ (as 24T3) |
$[6]$ |
$12$ |
$11$ |
$67326381.43157153$ |
24.0.507...625.1 |
$x^{24} + 26 x^{18} - 53 x^{12} + 18954 x^{6} + 531441$ |
$24$ |
[0,12] |
$3^{36}\cdot 5^{12}\cdot 7^{12}$ |
$3$ |
$30.7408522979$ |
$30.740852297878796$ |
✓ |
✓ |
? |
$C_2^2\times C_6$ (as 24T3) |
$[3, 3]$ |
$18$ |
$11$ |
$70281481.48527941$ |
24.0.987...121.1 |
$x^{24} - x^{23} - 3 x^{22} + 10 x^{21} - 10 x^{20} - 30 x^{19} + 127 x^{18} + 210 x^{17} - 718 x^{16} + 529 x^{15} + 1830 x^{14} - 7990 x^{13} + 8719 x^{12} + 23970 x^{11} + 16470 x^{10} - 14283 x^{9} - 58158 x^{8} - 51030 x^{7} + 92583 x^{6} + 65610 x^{5} - 65610 x^{4} - 196830 x^{3} - 177147 x^{2} + 177147 x + 531441$ |
$24$ |
[0,12] |
$3^{12}\cdot 7^{20}\cdot 13^{12}$ |
$3$ |
$31.6068103237$ |
$31.606810323667133$ |
✓ |
✓ |
? |
$C_2^2\times C_6$ (as 24T3) |
$[2, 4, 4]$ |
$42$ |
$11$ |
$91734319.3933256$ |
24.0.133...000.1 |
$x^{24} - 6 x^{22} + 32 x^{20} - 168 x^{18} + 880 x^{16} - 4608 x^{14} + 24128 x^{12} - 18432 x^{10} + 14080 x^{8} - 10752 x^{6} + 8192 x^{4} - 6144 x^{2} + 4096$ |
$24$ |
[0,12] |
$2^{36}\cdot 5^{12}\cdot 7^{20}$ |
$3$ |
$32.0094610827$ |
$32.00946108272415$ |
✓ |
✓ |
? |
$C_2^2\times C_6$ (as 24T3) |
$[3, 3]$ |
$14$ |
$11$ |
$69523271.83090398$ |
24.0.133...000.2 |
$x^{24} + 6 x^{22} + 32 x^{20} + 168 x^{18} + 880 x^{16} + 4608 x^{14} + 24128 x^{12} + 18432 x^{10} + 14080 x^{8} + 10752 x^{6} + 8192 x^{4} + 6144 x^{2} + 4096$ |
$24$ |
[0,12] |
$2^{36}\cdot 5^{12}\cdot 7^{20}$ |
$3$ |
$32.0094610827$ |
$32.00946108272415$ |
✓ |
✓ |
? |
$C_2^2\times C_6$ (as 24T3) |
$[28]$ |
$14$ |
$11$ |
$27409659.83250929$ |
24.0.228...000.1 |
$x^{24} + 91 x^{20} + 1391 x^{16} + 2688 x^{12} + 1287 x^{8} + 182 x^{4} + 1$ |
$24$ |
[0,12] |
$2^{48}\cdot 5^{12}\cdot 7^{16}$ |
$3$ |
$32.7298252723$ |
$32.72982527225799$ |
✓ |
✓ |
? |
$C_2^2\times C_6$ (as 24T3) |
$[3, 3, 3]$ |
$8$ |
$11$ |
$27409659.83250929$ |
24.0.246...625.1 |
$x^{24} - x^{23} + 17 x^{22} - 6 x^{21} + 188 x^{20} - 47 x^{19} + 1066 x^{18} + 111 x^{17} + 4083 x^{16} + 396 x^{15} + 8622 x^{14} + 1407 x^{13} + 12820 x^{12} + 2029 x^{11} + 11865 x^{10} + 2619 x^{9} + 7679 x^{8} + 1542 x^{7} + 2678 x^{6} + 721 x^{5} + 616 x^{4} + 85 x^{3} + 36 x^{2} - 3 x + 1$ |
$24$ |
[0,12] |
$3^{12}\cdot 5^{12}\cdot 13^{20}$ |
$3$ |
$32.8346020026$ |
$32.83460200257314$ |
✓ |
✓ |
? |
$C_2^2\times C_6$ (as 24T3) |
$[4, 4, 4]$ |
$6$ |
$11$ |
$7346081.887826216$ |
24.0.251...000.1 |
$x^{24} - 144 x^{18} + 20672 x^{12} - 9216 x^{6} + 4096$ |
$24$ |
[0,12] |
$2^{36}\cdot 3^{36}\cdot 5^{12}$ |
$3$ |
$32.8633534503$ |
$32.863353450309965$ |
✓ |
✓ |
|
$C_2^2\times C_6$ (as 24T3) |
$[21]$ |
$18$ |
$11$ |
$171455502.29256856$ |
24.0.251...000.2 |
$x^{24} + 144 x^{18} + 20672 x^{12} + 9216 x^{6} + 4096$ |
$24$ |
[0,12] |
$2^{36}\cdot 3^{36}\cdot 5^{12}$ |
$3$ |
$32.8633534503$ |
$32.863353450309965$ |
✓ |
✓ |
? |
$C_2^2\times C_6$ (as 24T3) |
$[14]$ |
$18$ |
$11$ |
$81723202.08229$ |
24.0.420...736.1 |
$x^{24} + 5 x^{22} + 16 x^{20} + 35 x^{18} + 31 x^{16} - 160 x^{14} - 1079 x^{12} - 1440 x^{10} + 2511 x^{8} + 25515 x^{6} + 104976 x^{4} + 295245 x^{2} + 531441$ |
$24$ |
[0,12] |
$2^{24}\cdot 7^{20}\cdot 11^{12}$ |
$3$ |
$33.5718060087$ |
$33.57180600871921$ |
✓ |
✓ |
? |
$C_2^2\times C_6$ (as 24T3) |
$[14]$ |
$28$ |
$11$ |
$151397348.565616$ |
24.0.534...456.1 |
$x^{24} + 31 x^{20} + 317 x^{16} + 1216 x^{12} + 1462 x^{8} + 301 x^{4} + 1$ |
$24$ |
[0,12] |
$2^{48}\cdot 13^{20}$ |
$2$ |
$33.9114311294$ |
$33.911431129417196$ |
✓ |
✓ |
|
$C_2^2\times C_6$ (as 24T3) |
$[3, 9]$ |
$8$ |
$11$ |
$34260599.803001165$ |
24.0.790...056.1 |
$x^{24} - 10 x^{18} - 629 x^{12} - 7290 x^{6} + 531441$ |
$24$ |
[0,12] |
$2^{24}\cdot 3^{36}\cdot 11^{12}$ |
$3$ |
$34.4673758792$ |
$34.46737587922817$ |
✓ |
✓ |
? |
$C_2^2\times C_6$ (as 24T3) |
$[39]$ |
$36$ |
$11$ |
$211275649.8529983$ |
24.24.119...296.1 |
$x^{24} - 24 x^{22} + 253 x^{20} - 1540 x^{18} + 5984 x^{16} - 15488 x^{14} + 27026 x^{12} - 31448 x^{10} + 23540 x^{8} - 10528 x^{6} + 2416 x^{4} - 192 x^{2} + 1$ |
$24$ |
[24,0] |
$2^{48}\cdot 3^{12}\cdot 7^{20}$ |
$3$ |
$35.0646077772$ |
$35.06460777718351$ |
|
✓ |
✓ |
$C_2^2\times C_6$ (as 24T3) |
trivial |
$2$ |
$23$ |
$52803727007.61933$ |
24.0.119...296.1 |
$x^{24} - 9 x^{20} + 81 x^{16} - 729 x^{12} + 6561 x^{8} - 59049 x^{4} + 531441$ |
$24$ |
[0,12] |
$2^{48}\cdot 3^{12}\cdot 7^{20}$ |
$3$ |
$35.0646077772$ |
$35.06460777718351$ |
✓ |
✓ |
? |
$C_2^2\times C_6$ (as 24T3) |
$[2, 42]$ |
$28$ |
$11$ |
$110221951.51279221$ |
24.0.119...296.2 |
$x^{24} - 12 x^{22} + 91 x^{20} - 428 x^{18} + 1475 x^{16} - 3472 x^{14} + 5972 x^{12} - 6412 x^{10} + 4847 x^{8} - 1856 x^{6} + 490 x^{4} - 24 x^{2} + 1$ |
$24$ |
[0,12] |
$2^{48}\cdot 3^{12}\cdot 7^{20}$ |
$3$ |
$35.0646077772$ |
$35.06460777718351$ |
✓ |
✓ |
? |
$C_2^2\times C_6$ (as 24T3) |
$[8]$ |
$6$ |
$11$ |
$110221951.51279221$ |
24.0.119...296.3 |
$x^{24} - 4 x^{22} + 15 x^{20} - 56 x^{18} + 209 x^{16} - 780 x^{14} + 2911 x^{12} - 780 x^{10} + 209 x^{8} - 56 x^{6} + 15 x^{4} - 4 x^{2} + 1$ |
$24$ |
[0,12] |
$2^{48}\cdot 3^{12}\cdot 7^{20}$ |
$3$ |
$35.0646077772$ |
$35.06460777718351$ |
✓ |
✓ |
? |
$C_2^2\times C_6$ (as 24T3) |
$[2, 6]$ |
$14$ |
$11$ |
$162312869.89332253$ |
24.0.119...296.4 |
$x^{24} + 33 x^{20} + 340 x^{16} + 1154 x^{12} + 1192 x^{8} + 136 x^{4} + 1$ |
$24$ |
[0,12] |
$2^{48}\cdot 3^{12}\cdot 7^{20}$ |
$3$ |
$35.0646077772$ |
$35.06460777718351$ |
✓ |
✓ |
? |
$C_2^2\times C_6$ (as 24T3) |
$[24]$ |
$4$ |
$11$ |
$19752911.509995345$ |
24.0.119...296.5 |
$x^{24} + 41 x^{20} + 596 x^{16} + 3618 x^{12} + 8016 x^{8} + 2008 x^{4} + 1$ |
$24$ |
[0,12] |
$2^{48}\cdot 3^{12}\cdot 7^{20}$ |
$3$ |
$35.0646077772$ |
$35.06460777718351$ |
✓ |
✓ |
? |
$C_2^2\times C_6$ (as 24T3) |
$[2, 14]$ |
$8$ |
$11$ |
$51153901.044472545$ |
24.0.119...296.6 |
$x^{24} + 4 x^{22} + 15 x^{20} + 56 x^{18} + 209 x^{16} + 780 x^{14} + 2911 x^{12} + 780 x^{10} + 209 x^{8} + 56 x^{6} + 15 x^{4} + 4 x^{2} + 1$ |
$24$ |
[0,12] |
$2^{48}\cdot 3^{12}\cdot 7^{20}$ |
$3$ |
$35.0646077772$ |
$35.06460777718351$ |
✓ |
✓ |
? |
$C_2^2\times C_6$ (as 24T3) |
$[2, 28]$ |
$14$ |
$11$ |
$48026846.01450934$ |
24.0.119...296.7 |
$x^{24} + 12 x^{22} + 91 x^{20} + 428 x^{18} + 1475 x^{16} + 3472 x^{14} + 5972 x^{12} + 6412 x^{10} + 4847 x^{8} + 1856 x^{6} + 490 x^{4} + 24 x^{2} + 1$ |
$24$ |
[0,12] |
$2^{48}\cdot 3^{12}\cdot 7^{20}$ |
$3$ |
$35.0646077772$ |
$35.06460777718351$ |
✓ |
✓ |
? |
$C_2^2\times C_6$ (as 24T3) |
$[2, 42]$ |
$6$ |
$11$ |
$14049698.366727958$ |
24.0.119...296.8 |
$x^{24} + 24 x^{22} + 253 x^{20} + 1540 x^{18} + 5984 x^{16} + 15488 x^{14} + 27026 x^{12} + 31448 x^{10} + 23540 x^{8} + 10528 x^{6} + 2416 x^{4} + 192 x^{2} + 1$ |
$24$ |
[0,12] |
$2^{48}\cdot 3^{12}\cdot 7^{20}$ |
$3$ |
$35.0646077772$ |
$35.06460777718351$ |
✓ |
✓ |
✓ |
$C_2^2\times C_6$ (as 24T3) |
$[168]$ |
$2$ |
$11$ |
$2172613.5864137784$ |
24.0.119...296.9 |
$x^{24} - 21 x^{20} + 343 x^{16} - 1960 x^{12} + 8575 x^{8} - 4802 x^{4} + 2401$ |
$24$ |
[0,12] |
$2^{48}\cdot 3^{12}\cdot 7^{20}$ |
$3$ |
$35.0646077772$ |
$35.06460777718351$ |
✓ |
✓ |
|
$C_2^2\times C_6$ (as 24T3) |
$[56]$ |
$12$ |
$11$ |
$162312869.89332253$ |
24.0.247...601.1 |
$x^{24} - x^{23} - 4 x^{22} + 13 x^{21} - 13 x^{20} - 52 x^{19} + 233 x^{18} + 468 x^{17} - 1633 x^{16} + 1057 x^{15} + 5252 x^{14} - 24557 x^{13} + 28653 x^{12} + 98228 x^{11} + 84032 x^{10} - 67648 x^{9} - 418048 x^{8} - 479232 x^{7} + 954368 x^{6} + 851968 x^{5} - 851968 x^{4} - 3407872 x^{3} - 4194304 x^{2} + 4194304 x + 16777216$ |
$24$ |
[0,12] |
$3^{12}\cdot 7^{20}\cdot 17^{12}$ |
$3$ |
$36.1437703965$ |
$36.14377039654553$ |
✓ |
✓ |
? |
$C_2^2\times C_6$ (as 24T3) |
$[65]$ |
$42$ |
$11$ |
$213152765.0365848$ |
24.0.311...896.1 |
$x^{24} - 7 x^{22} + 40 x^{20} - 217 x^{18} + 1159 x^{16} - 6160 x^{14} + 32689 x^{12} - 55440 x^{10} + 93879 x^{8} - 158193 x^{6} + 262440 x^{4} - 413343 x^{2} + 531441$ |
$24$ |
[0,12] |
$2^{24}\cdot 7^{20}\cdot 13^{12}$ |
$3$ |
$36.4964008972$ |
$36.496400897189325$ |
✓ |
✓ |
? |
$C_2^2\times C_6$ (as 24T3) |
$[4, 12]$ |
$28$ |
$11$ |
$268691479.40790963$ |
24.0.586...416.1 |
$x^{24} - 154 x^{18} + 22987 x^{12} - 112266 x^{6} + 531441$ |
$24$ |
[0,12] |
$2^{24}\cdot 3^{36}\cdot 13^{12}$ |
$3$ |
$37.4699879904$ |
$37.469987990390386$ |
✓ |
✓ |
? |
$C_2^2\times C_6$ (as 24T3) |
$[26]$ |
$36$ |
$11$ |
$428556644.7668969$ |
24.0.611...625.1 |
$x^{24} - 3 x^{22} - 7 x^{20} + 69 x^{18} - 95 x^{16} - 819 x^{14} + 3977 x^{12} - 13104 x^{10} - 24320 x^{8} + 282624 x^{6} - 458752 x^{4} - 3145728 x^{2} + 16777216$ |
$24$ |
[0,12] |
$5^{12}\cdot 7^{20}\cdot 11^{12}$ |
$3$ |
$37.5344201815$ |
$37.534420181466025$ |
✓ |
✓ |
? |
$C_2^2\times C_6$ (as 24T3) |
$[3, 6]$ |
$14$ |
$11$ |
$268997143.93463415$ |
24.0.778...000.1 |
$x^{24} + 33 x^{22} + 436 x^{20} + 2997 x^{18} + 11783 x^{16} + 27783 x^{14} + 40285 x^{12} + 36003 x^{10} + 19363 x^{8} + 5922 x^{6} + 931 x^{4} + 63 x^{2} + 1$ |
$24$ |
[0,12] |
$2^{24}\cdot 5^{12}\cdot 13^{20}$ |
$3$ |
$37.9141326098$ |
$37.914132609839655$ |
✓ |
✓ |
? |
$C_2^2\times C_6$ (as 24T3) |
$[4, 4, 12]$ |
$4$ |
$11$ |
$7346081.887826216$ |
24.0.938...001.1 |
$x^{24} - x^{23} + 5 x^{22} - 14 x^{21} + 14 x^{20} - 70 x^{19} + 71 x^{18} - 630 x^{17} + 914 x^{16} - 2039 x^{15} + 7070 x^{14} - 4046 x^{13} + 19671 x^{12} - 20230 x^{11} + 176750 x^{10} - 254875 x^{9} + 571250 x^{8} - 1968750 x^{7} + 1109375 x^{6} - 5468750 x^{5} + 5468750 x^{4} - 27343750 x^{3} + 48828125 x^{2} - 48828125 x + 244140625$ |
$24$ |
[0,12] |
$3^{12}\cdot 7^{20}\cdot 19^{12}$ |
$3$ |
$38.2107704489$ |
$38.21077044890832$ |
✓ |
✓ |
? |
$C_2^2\times C_6$ (as 24T3) |
$[84]$ |
$42$ |
$11$ |
$445267011.8484134$ |
24.0.995...936.1 |
$x^{24} - 53 x^{20} + 2631 x^{16} - 9432 x^{12} + 31631 x^{8} - 178 x^{4} + 1$ |
$24$ |
[0,12] |
$2^{48}\cdot 3^{12}\cdot 13^{16}$ |
$3$ |
$38.3044755236$ |
$38.30447552359584$ |
✓ |
✓ |
|
$C_2^2\times C_6$ (as 24T3) |
$[39]$ |
$24$ |
$11$ |
$381194856.24035984$ |
24.0.115...625.1 |
$x^{24} + 117 x^{18} + 9593 x^{12} + 479232 x^{6} + 16777216$ |
$24$ |
[0,12] |
$3^{36}\cdot 5^{12}\cdot 11^{12}$ |
$3$ |
$38.535697736$ |
$38.535697735995385$ |
✓ |
✓ |
? |
$C_2^2\times C_6$ (as 24T3) |
$[42]$ |
$18$ |
$11$ |
$213596502.21615326$ |
24.0.127...000.1 |
$x^{24} + 126 x^{20} + 3567 x^{16} + 9016 x^{12} + 5607 x^{8} + 483 x^{4} + 1$ |
$24$ |
[0,12] |
$2^{48}\cdot 3^{32}\cdot 5^{12}$ |
$3$ |
$38.6996169567$ |
$38.69961695672673$ |
✓ |
✓ |
|
$C_2^2\times C_6$ (as 24T3) |
$[3, 21]$ |
$8$ |
$11$ |
$81723202.08229$ |
24.0.139...441.1 |
$x^{24} - x^{23} - 16 x^{22} + 3 x^{21} + 149 x^{20} + 37 x^{19} - 1193 x^{18} - 69 x^{17} + 7413 x^{16} + 720 x^{15} - 31749 x^{14} - 13113 x^{13} + 108739 x^{12} + 26266 x^{11} - 278496 x^{10} + 31368 x^{9} + 472592 x^{8} + 29088 x^{7} - 422464 x^{6} - 248960 x^{5} + 287488 x^{4} + 71680 x^{3} - 27648 x^{2} + 6144 x + 4096$ |
$24$ |
[0,12] |
$3^{12}\cdot 7^{12}\cdot 13^{20}$ |
$3$ |
$38.8504250187$ |
$38.850425018709025$ |
✓ |
✓ |
|
$C_2^2\times C_6$ (as 24T3) |
$[14]$ |
$6$ |
$11$ |
$327649563.99093217$ |
24.0.142...256.1 |
$x^{24} - 34 x^{21} + 993 x^{18} - 13006 x^{15} + 105407 x^{12} + 293680 x^{9} + 434872 x^{6} - 10176 x^{3} + 64$ |
$24$ |
[0,12] |
$2^{36}\cdot 3^{36}\cdot 7^{12}$ |
$3$ |
$38.8844441904$ |
$38.88444419044716$ |
✓ |
✓ |
? |
$C_2^2\times C_6$ (as 24T3) |
$[3, 6]$ |
$18$ |
$11$ |
$513325248.7446666$ |
24.0.142...256.2 |
$x^{24} - 22 x^{21} + 25 x^{18} - 10306 x^{15} + 212961 x^{12} + 48088 x^{9} + 7144 x^{6} + 832 x^{3} + 64$ |
$24$ |
[0,12] |
$2^{36}\cdot 3^{36}\cdot 7^{12}$ |
$3$ |
$38.8844441904$ |
$38.88444419044716$ |
✓ |
✓ |
? |
$C_2^2\times C_6$ (as 24T3) |
$[39]$ |
$18$ |
$11$ |
$221439677.80749813$ |
24.24.173...000.1 |
$x^{24} - 33 x^{22} + 429 x^{20} - 2856 x^{18} + 10762 x^{16} - 24144 x^{14} + 33158 x^{12} - 28065 x^{10} + 14404 x^{8} - 4284 x^{6} + 676 x^{4} - 48 x^{2} + 1$ |
$24$ |
[24,0] |
$2^{24}\cdot 3^{12}\cdot 5^{12}\cdot 7^{20}$ |
$4$ |
$39.2034232971$ |
$39.20342329707507$ |
|
✓ |
? |
$C_2^2\times C_6$ (as 24T3) |
trivial |
$2$ |
$23$ |
$197474123623.385$ |
24.0.173...000.1 |
$x^{24} + 27 x^{22} + 319 x^{20} + 2149 x^{18} + 8972 x^{16} + 23396 x^{14} + 35678 x^{12} + 24935 x^{10} - 3091 x^{8} - 25424 x^{6} - 71174 x^{4} - 54588 x^{2} + 177241$ |
$24$ |
[0,12] |
$2^{24}\cdot 3^{12}\cdot 5^{12}\cdot 7^{20}$ |
$4$ |
$39.2034232971$ |
$39.20342329707507$ |
✓ |
✓ |
? |
$C_2^2\times C_6$ (as 24T3) |
$[2, 156]$ |
$2$ |
$11$ |
$4345227.172827557$ |
24.0.173...000.2 |
$x^{24} + 15 x^{22} + 133 x^{20} + 776 x^{18} + 3338 x^{16} + 10696 x^{14} + 26174 x^{12} + 46879 x^{10} + 38660 x^{8} - 35932 x^{6} + 126028 x^{4} + 666072 x^{2} + 707281$ |
$24$ |
[0,12] |
$2^{24}\cdot 3^{12}\cdot 5^{12}\cdot 7^{20}$ |
$4$ |
$39.2034232971$ |
$39.20342329707507$ |
✓ |
✓ |
|
$C_2^2\times C_6$ (as 24T3) |
$[2, 52]$ |
$12$ |
$11$ |
$366249358.8925901$ |
24.0.173...000.3 |
$x^{24} + 7 x^{22} + 33 x^{20} + 119 x^{18} + 305 x^{16} + 231 x^{14} - 3263 x^{12} + 3696 x^{10} + 78080 x^{8} + 487424 x^{6} + 2162688 x^{4} + 7340032 x^{2} + 16777216$ |
$24$ |
[0,12] |
$2^{24}\cdot 3^{12}\cdot 5^{12}\cdot 7^{20}$ |
$4$ |
$39.2034232971$ |
$39.20342329707507$ |
✓ |
✓ |
|
$C_2^2\times C_6$ (as 24T3) |
$[2, 52]$ |
$28$ |
$11$ |
$233161229.71468583$ |