| 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 |
| 24.0.965...256.1 |
$x^{24} - 8 x^{21} + 3 x^{20} - 4 x^{19} + 32 x^{18} - 20 x^{17} + 37 x^{16} - 116 x^{15} + 72 x^{14} - 128 x^{13} + 380 x^{12} - 256 x^{11} + 288 x^{10} - 928 x^{9} + 592 x^{8} - 640 x^{7} + 2048 x^{6} - 512 x^{5} + 768 x^{4} - 4096 x^{3} + 4096$ |
$24$ |
[0,12] |
$2^{48}\cdot 3^{12}\cdot 71^{8}$ |
$3$ |
$28.6884269075$ |
$58.378078077305695$ |
✓ |
|
|
$C_2^2\times D_6$ (as 24T30) |
$[8]$ |
$24$ |
$11$ |
$125335839.85669757$ |
| 24.0.226...056.1 |
$x^{24} - 4 x^{22} + 3 x^{20} + 4 x^{18} + 5 x^{16} - 12 x^{14} - 20 x^{12} - 48 x^{10} + 80 x^{8} + 256 x^{6} + 768 x^{4} - 4096 x^{2} + 4096$ |
$24$ |
[0,12] |
$2^{48}\cdot 3^{12}\cdot 79^{8}$ |
$3$ |
$29.7278145071$ |
$61.57921727336261$ |
✓ |
|
|
$C_2^2\times D_6$ (as 24T30) |
$[8]$ |
$24$ |
$11$ |
$151726447.75042927$ |
| 24.0.593...456.1 |
$x^{24} - 51 x^{20} + 2430 x^{16} - 8703 x^{12} + 28782 x^{8} - 1539 x^{4} + 81$ |
$24$ |
[0,12] |
$2^{52}\cdot 3^{28}\cdot 7^{8}$ |
$3$ |
$30.9437160924$ |
$42.79786861018661$ |
✓ |
|
? |
$C_2^2\times D_6$ (as 24T30) |
$[3, 3]$ |
$24$ |
$11$ |
$170533425.61009115$ |
| 24.0.330...000.1 |
$x^{24} - 2 x^{23} - x^{22} + 26 x^{21} - 26 x^{20} - 88 x^{19} + 233 x^{18} + 326 x^{17} - 1593 x^{16} + 1102 x^{15} + 5510 x^{14} - 6356 x^{13} + 3000 x^{12} + 12712 x^{11} + 22040 x^{10} - 8816 x^{9} - 25488 x^{8} - 10432 x^{7} + 14912 x^{6} + 11264 x^{5} - 6656 x^{4} - 13312 x^{3} - 1024 x^{2} + 4096 x + 4096$ |
$24$ |
[0,12] |
$2^{24}\cdot 3^{12}\cdot 5^{12}\cdot 79^{8}$ |
$4$ |
$33.2367070302$ |
$68.84765791223403$ |
✓ |
|
|
$C_2^2\times D_6$ (as 24T30) |
$[17]$ |
$12$ |
$11$ |
$308326703.92904025$ |
| 24.0.501...296.1 |
$x^{24} - 4 x^{22} + 4 x^{20} + 2 x^{18} - 4 x^{16} + 20 x^{14} - 79 x^{12} + 80 x^{10} - 64 x^{8} + 128 x^{6} + 1024 x^{4} - 4096 x^{2} + 4096$ |
$24$ |
[0,12] |
$2^{24}\cdot 3^{12}\cdot 7^{12}\cdot 67^{8}$ |
$4$ |
$37.224703218$ |
$75.0199973340442$ |
✓ |
|
|
$C_2^2\times D_6$ (as 24T30) |
$[6, 6]$ |
$12$ |
$11$ |
$526524930.53452563$ |
| 24.0.138...000.1 |
$x^{24} - 39 x^{22} + 642 x^{20} - 5775 x^{18} + 31086 x^{16} - 107523 x^{14} + 272681 x^{12} - 504912 x^{10} + 711384 x^{8} - 746184 x^{6} + 554784 x^{4} - 256752 x^{2} + 59536$ |
$24$ |
[0,12] |
$2^{32}\cdot 3^{28}\cdot 5^{12}\cdot 7^{8}$ |
$4$ |
$38.8328388234$ |
$53.70921607354176$ |
✓ |
|
|
$C_2^2\times D_6$ (as 24T30) |
$[3, 9]$ |
$12$ |
$11$ |
$573922889.2509559$ |
| 24.0.187...816.1 |
$x^{24} - 2 x^{23} - 11 x^{22} + 2 x^{21} + 122 x^{20} - 22 x^{19} - 603 x^{18} + 126 x^{17} + 2838 x^{16} - 4554 x^{15} - 11143 x^{14} + 38030 x^{13} - 5743 x^{12} - 74196 x^{11} + 192820 x^{10} + 2152 x^{9} - 196612 x^{8} + 432432 x^{7} - 65552 x^{6} - 178400 x^{5} + 381072 x^{4} - 166208 x^{3} + 51840 x^{2} - 8704 x + 1024$ |
$24$ |
[0,12] |
$2^{24}\cdot 3^{12}\cdot 7^{12}\cdot 79^{8}$ |
$4$ |
$39.3262021036$ |
$81.4616474176652$ |
✓ |
|
|
$C_2^2\times D_6$ (as 24T30) |
$[55]$ |
$12$ |
$11$ |
$699275455.9318979$ |
| 24.0.504...896.1 |
$x^{24} - 66 x^{20} + 867 x^{16} + 9854 x^{12} + 60993 x^{8} - 6624 x^{4} + 256$ |
$24$ |
[0,12] |
$2^{48}\cdot 3^{28}\cdot 23^{8}$ |
$3$ |
$40.9836594205$ |
$69.11389568573122$ |
✓ |
|
|
$C_2^2\times D_6$ (as 24T30) |
$[2, 24]$ |
$24$ |
$11$ |
$1437499934.8672993$ |
| 24.0.729...625.1 |
$x^{24} - 2 x^{23} + 8 x^{22} - 16 x^{21} + 22 x^{20} - 64 x^{19} + 86 x^{18} - 358 x^{17} + 696 x^{16} - 2792 x^{15} + 4514 x^{14} - 7304 x^{13} + 12417 x^{12} + 14608 x^{11} + 18056 x^{10} + 22336 x^{9} + 11136 x^{8} + 11456 x^{7} + 5504 x^{6} + 8192 x^{5} + 5632 x^{4} + 8192 x^{3} + 8192 x^{2} + 4096 x + 4096$ |
$24$ |
[0,12] |
$3^{12}\cdot 5^{12}\cdot 7^{12}\cdot 67^{8}$ |
$4$ |
$41.6184834188$ |
$83.87490685538792$ |
✓ |
|
|
$C_2^2\times D_6$ (as 24T30) |
$[3, 33]$ |
$6$ |
$11$ |
$2094070987.821792$ |
| 24.0.158...696.1 |
$x^{24} - 8 x^{20} + 40 x^{16} - 143 x^{12} + 640 x^{8} - 2048 x^{4} + 4096$ |
$24$ |
[0,12] |
$2^{48}\cdot 7^{12}\cdot 67^{8}$ |
$3$ |
$42.9833848468$ |
$86.62563131083085$ |
✓ |
|
|
$C_2^2\times D_6$ (as 24T30) |
$[2, 2, 8]$ |
$8$ |
$11$ |
$2853603602.4811163$ |
| 24.0.251...416.1 |
$x^{24} - 18 x^{22} + 167 x^{20} - 956 x^{18} + 2327 x^{16} + 846 x^{14} - 8599 x^{12} + 12832 x^{10} + 162248 x^{8} - 112928 x^{6} + 633232 x^{4} + 33024 x^{2} + 1024$ |
$24$ |
[0,12] |
$2^{48}\cdot 7^{12}\cdot 71^{8}$ |
$3$ |
$43.8222959577$ |
$89.17398723843182$ |
✓ |
|
|
$C_2^2\times D_6$ (as 24T30) |
$[2, 2, 78]$ |
$8$ |
$11$ |
$4736785441.934738$ |
| 24.0.549...456.1 |
$x^{24} - 81 x^{20} + 2913 x^{16} - 59920 x^{12} + 745728 x^{8} - 5308416 x^{4} + 16777216$ |
$24$ |
[0,12] |
$2^{48}\cdot 3^{28}\cdot 31^{8}$ |
$3$ |
$45.2712013888$ |
$80.23840777241452$ |
✓ |
|
|
$C_2^2\times D_6$ (as 24T30) |
$[2, 6, 24]$ |
$24$ |
$11$ |
$1243512309.688251$ |
| 24.0.575...000.1 |
$x^{24} - 2 x^{23} + 5 x^{22} - 2 x^{21} - 10 x^{20} - 14 x^{19} - 49 x^{18} - 46 x^{17} - 229 x^{16} - 1464 x^{15} + 4190 x^{14} - 6920 x^{13} + 11088 x^{12} + 13840 x^{11} + 16760 x^{10} + 11712 x^{9} - 3664 x^{8} + 1472 x^{7} - 3136 x^{6} + 1792 x^{5} - 2560 x^{4} + 1024 x^{3} + 5120 x^{2} + 4096 x + 4096$ |
$24$ |
[0,12] |
$2^{36}\cdot 3^{12}\cdot 5^{12}\cdot 71^{8}$ |
$4$ |
$45.3603857575$ |
$92.30384607371461$ |
✓ |
|
|
$C_2^2\times D_6$ (as 24T30) |
$[2, 22]$ |
$6$ |
$11$ |
$2670961305.4082894$ |
| 24.0.591...216.1 |
$x^{24} - 8 x^{22} + 67 x^{20} - 320 x^{18} + 2315 x^{16} + 7064 x^{14} - 14367 x^{12} - 58928 x^{10} + 82856 x^{8} - 58880 x^{6} + 282768 x^{4} + 17664 x^{2} + 1024$ |
$24$ |
[0,12] |
$2^{48}\cdot 7^{12}\cdot 79^{8}$ |
$3$ |
$45.4099867415$ |
$94.06380813043877$ |
✓ |
|
|
$C_2^2\times D_6$ (as 24T30) |
$[2, 2, 66]$ |
$8$ |
$11$ |
$5260470710.85801$ |
| 24.0.733...000.1 |
$x^{24} - 39 x^{22} + 648 x^{20} - 5829 x^{18} + 30363 x^{16} - 94896 x^{14} + 196451 x^{12} - 293637 x^{10} + 327912 x^{8} - 264279 x^{6} + 203193 x^{4} - 165600 x^{2} + 92416$ |
$24$ |
[0,12] |
$2^{24}\cdot 3^{28}\cdot 5^{12}\cdot 23^{8}$ |
$4$ |
$45.8211242155$ |
$77.27168447156222$ |
✓ |
|
|
$C_2^2\times D_6$ (as 24T30) |
$[2, 90]$ |
$12$ |
$11$ |
$1971189950.5562708$ |
| 24.0.799...000.1 |
$x^{24} + 30 x^{22} + 423 x^{20} + 3156 x^{18} + 11967 x^{16} + 32862 x^{14} + 196601 x^{12} + 135120 x^{10} + 1571520 x^{8} + 770688 x^{6} + 4961280 x^{4} + 3182592 x^{2} + 3936256$ |
$24$ |
[0,12] |
$2^{24}\cdot 3^{28}\cdot 5^{12}\cdot 31^{8}$ |
$4$ |
$50.6147418642$ |
$89.70926709273317$ |
✓ |
|
|
$C_2^2\times D_6$ (as 24T30) |
$[12, 24]$ |
$12$ |
$11$ |
$3654264020.3138604$ |
| 24.0.205...416.1 |
$x^{24} - 4 x^{23} + 36 x^{22} - 116 x^{21} + 548 x^{20} - 1432 x^{19} + 4646 x^{18} - 9804 x^{17} + 23936 x^{16} - 39532 x^{15} + 73740 x^{14} - 84792 x^{13} + 112745 x^{12} - 74000 x^{11} + 128108 x^{10} - 284032 x^{9} + 775996 x^{8} - 892608 x^{7} - 10272 x^{6} + 683904 x^{5} - 148880 x^{4} - 116992 x^{3} + 42176 x^{2} - 3072 x + 64$ |
$24$ |
[0,12] |
$2^{36}\cdot 3^{12}\cdot 7^{12}\cdot 67^{8}$ |
$4$ |
$52.6436801462$ |
$106.09429767899876$ |
✓ |
|
|
$C_2^2\times D_6$ (as 24T30) |
$[2, 96]$ |
$6$ |
$11$ |
$4279807917.5292835$ |
| 24.0.205...416.2 |
$x^{24} - 4 x^{23} + 24 x^{22} - 60 x^{21} + 240 x^{20} - 480 x^{19} + 1686 x^{18} - 3012 x^{17} + 9534 x^{16} - 11972 x^{15} + 25612 x^{14} + 17340 x^{13} - 34863 x^{12} + 220216 x^{11} - 73466 x^{10} - 125792 x^{9} + 306584 x^{8} - 15136 x^{7} - 209480 x^{6} - 97088 x^{5} + 148576 x^{4} + 23296 x^{3} - 23968 x^{2} + 3136$ |
$24$ |
[0,12] |
$2^{36}\cdot 3^{12}\cdot 7^{12}\cdot 67^{8}$ |
$4$ |
$52.6436801462$ |
$106.09429767899876$ |
✓ |
|
|
$C_2^2\times D_6$ (as 24T30) |
$[2, 2, 42]$ |
$6$ |
$11$ |
$6171166069.704228$ |
| 24.0.326...536.1 |
$x^{24} - 2 x^{23} - 7 x^{22} + 10 x^{21} + 34 x^{20} - 6 x^{19} - 247 x^{18} - 290 x^{17} + 2390 x^{16} - 2722 x^{15} - 9827 x^{14} + 32414 x^{13} - 9183 x^{12} - 57028 x^{11} + 186964 x^{10} + 1112 x^{9} - 122188 x^{8} + 510080 x^{7} + 131792 x^{6} - 21952 x^{5} + 623632 x^{4} + 227712 x^{3} + 57984 x^{2} + 9216 x + 1024$ |
$24$ |
[0,12] |
$2^{36}\cdot 3^{12}\cdot 7^{12}\cdot 71^{8}$ |
$4$ |
$53.6711322267$ |
$109.21538353180837$ |
✓ |
|
|
$C_2^2\times D_6$ (as 24T30) |
$[117]$ |
$6$ |
$11$ |
$10523026728.310707$ |
| 24.0.416...056.1 |
$x^{24} + 27 x^{22} + 501 x^{20} + 4718 x^{18} + 31614 x^{16} + 112722 x^{14} + 286161 x^{12} + 475107 x^{10} + 575709 x^{8} + 424868 x^{6} + 203712 x^{4} + 7488 x^{2} + 256$ |
$24$ |
[0,12] |
$2^{24}\cdot 3^{28}\cdot 7^{12}\cdot 23^{8}$ |
$4$ |
$54.216285322$ |
$91.42909006165236$ |
✓ |
|
|
$C_2^2\times D_6$ (as 24T30) |
$[4, 48]$ |
$12$ |
$11$ |
$11682725948.861767$ |
| 24.0.566...000.1 |
$x^{24} - 6 x^{23} + 75 x^{22} - 338 x^{21} + 2223 x^{20} - 7956 x^{19} + 35336 x^{18} - 103140 x^{17} + 337851 x^{16} - 813410 x^{15} + 2046819 x^{14} - 4063794 x^{13} + 7994884 x^{12} - 12969990 x^{11} + 20002383 x^{10} - 25939270 x^{9} + 30969063 x^{8} - 30818088 x^{7} + 27014186 x^{6} - 18391692 x^{5} + 10444713 x^{4} - 2828110 x^{3} + 8181 x^{2} + 207954 x + 609121$ |
$24$ |
[0,12] |
$2^{44}\cdot 3^{28}\cdot 5^{12}\cdot 7^{8}$ |
$4$ |
$54.9179273295$ |
$75.95630179562978$ |
✓ |
|
|
$C_2^2\times D_6$ (as 24T30) |
$[3, 51]$ |
$6$ |
$11$ |
$4593899203.061329$ |
| 24.0.453...216.1 |
$x^{24} - 42 x^{22} + 765 x^{20} - 7506 x^{18} + 39156 x^{16} - 83922 x^{14} - 130219 x^{12} + 723918 x^{10} + 3868401 x^{8} + 4392264 x^{6} + 927120 x^{4} - 3674112 x^{2} + 1048576$ |
$24$ |
[0,12] |
$2^{24}\cdot 3^{28}\cdot 7^{12}\cdot 31^{8}$ |
$4$ |
$59.8881702139$ |
$106.14543628080048$ |
✓ |
|
|
$C_2^2\times D_6$ (as 24T30) |
$[2, 224]$ |
$12$ |
$11$ |
$23312085480.2532$ |
| 24.0.605...625.1 |
$x^{24} - 6 x^{23} + 78 x^{22} - 392 x^{21} + 2556 x^{20} - 10386 x^{19} + 44933 x^{18} - 145902 x^{17} + 460860 x^{16} - 1187632 x^{15} + 2848656 x^{14} - 5775900 x^{13} + 10594843 x^{12} - 16507914 x^{11} + 22656126 x^{10} - 25834416 x^{9} + 25004868 x^{8} - 19088658 x^{7} + 12519519 x^{6} - 6912450 x^{5} + 4180536 x^{4} - 1559448 x^{3} + 473328 x^{2} + 44928 x + 251136$ |
$24$ |
[0,12] |
$3^{28}\cdot 5^{12}\cdot 7^{12}\cdot 23^{8}$ |
$4$ |
$60.6156497338$ |
$102.22083024940257$ |
✓ |
|
|
$C_2^2\times D_6$ (as 24T30) |
$[8, 120]$ |
$6$ |
$11$ |
$24830472736.92889$ |
| 24.0.235...000.1 |
$x^{24} + 2 x^{22} - 19 x^{20} - 92 x^{18} + 68 x^{16} + 1152 x^{14} + 1920 x^{12} + 18432 x^{10} + 17408 x^{8} - 376832 x^{6} - 1245184 x^{4} + 2097152 x^{2} + 16777216$ |
$24$ |
[0,12] |
$2^{48}\cdot 3^{12}\cdot 5^{12}\cdot 71^{8}$ |
$4$ |
$64.1492727328$ |
$130.53735097664577$ |
✓ |
|
|
$C_2^2\times D_6$ (as 24T30) |
$[4, 4, 88]$ |
$2$ |
$11$ |
$27910062769.535168$ |
| 24.0.300...000.1 |
$x^{24} - 12 x^{23} + 138 x^{22} - 1012 x^{21} + 6567 x^{20} - 33792 x^{19} + 152944 x^{18} - 586476 x^{17} + 1983438 x^{16} - 5828596 x^{15} + 15127302 x^{14} - 34412484 x^{13} + 68977551 x^{12} - 121089960 x^{11} + 185961780 x^{10} - 248010596 x^{9} + 285514431 x^{8} - 280702824 x^{7} + 232942588 x^{6} - 160321752 x^{5} + 89445036 x^{4} - 39017264 x^{3} + 12566880 x^{2} - 2673888 x + 283024$ |
$24$ |
[0,12] |
$2^{36}\cdot 3^{28}\cdot 5^{12}\cdot 23^{8}$ |
$4$ |
$64.8008553087$ |
$109.27866416709779$ |
✓ |
|
|
$C_2^2\times D_6$ (as 24T30) |
$[2, 330]$ |
$6$ |
$11$ |
$20000904601.211346$ |
| 24.0.659...625.1 |
$x^{24} - 6 x^{23} + 66 x^{22} - 298 x^{21} + 1755 x^{20} - 6246 x^{19} + 25559 x^{18} - 73254 x^{17} + 224988 x^{16} - 510168 x^{15} + 1140603 x^{14} - 2014104 x^{13} + 3960599 x^{12} - 7179042 x^{11} + 15967722 x^{10} - 21892554 x^{9} + 36438585 x^{8} - 40807974 x^{7} + 29748257 x^{6} + 14966094 x^{5} - 28976136 x^{4} - 5965108 x^{3} + 9478257 x^{2} + 4458276 x + 700144$ |
$24$ |
[0,12] |
$3^{28}\cdot 5^{12}\cdot 7^{12}\cdot 31^{8}$ |
$4$ |
$66.9570098232$ |
$118.67420551262116$ |
✓ |
|
|
$C_2^2\times D_6$ (as 24T30) |
$[6, 210]$ |
$6$ |
$11$ |
$68086596064.02488$ |
| 24.0.327...000.1 |
$x^{24} - 66 x^{22} - 8 x^{21} + 1860 x^{20} + 408 x^{19} - 27668 x^{18} - 7488 x^{17} + 237498 x^{16} + 58984 x^{15} - 1240668 x^{14} - 180132 x^{13} + 4010886 x^{12} + 120480 x^{11} - 6473694 x^{10} + 596120 x^{9} + 3024492 x^{8} - 1421952 x^{7} - 2459420 x^{6} - 3154656 x^{5} + 26476854 x^{4} + 21395960 x^{3} - 17515860 x^{2} - 7883700 x + 15732025$ |
$24$ |
[0,12] |
$2^{36}\cdot 3^{28}\cdot 5^{12}\cdot 31^{8}$ |
$4$ |
$71.5800544004$ |
$126.86806219309365$ |
✓ |
|
|
$C_2^2\times D_6$ (as 24T30) |
$[6, 12, 24]$ |
$6$ |
$11$ |
$19752228025.7156$ |
| 24.0.170...376.1 |
$x^{24} + 66 x^{22} - 12 x^{21} + 1755 x^{20} - 336 x^{19} + 24476 x^{18} - 4968 x^{17} + 201618 x^{16} - 52032 x^{15} + 1010118 x^{14} - 380748 x^{13} + 3016387 x^{12} - 1771632 x^{11} + 4911816 x^{10} - 4596408 x^{9} + 3744627 x^{8} - 5693616 x^{7} - 1016220 x^{6} - 1840104 x^{5} + 1692972 x^{4} + 7178544 x^{3} - 3071232 x^{2} - 2969568 x + 1434384$ |
$24$ |
[0,12] |
$2^{36}\cdot 3^{28}\cdot 7^{12}\cdot 23^{8}$ |
$4$ |
$76.6734060039$ |
$129.30025916061993$ |
✓ |
|
|
$C_2^2\times D_6$ (as 24T30) |
$[2, 2, 8, 144]$ |
$6$ |
$11$ |
$27266690431.734825$ |
| 24.0.170...376.2 |
$x^{24} + 78 x^{22} + 2421 x^{20} + 39474 x^{18} + 376092 x^{16} + 2183742 x^{14} + 7748525 x^{12} + 16261674 x^{10} + 18591153 x^{8} + 9415392 x^{6} + 875496 x^{4} + 15840 x^{2} + 16$ |
$24$ |
[0,12] |
$2^{36}\cdot 3^{28}\cdot 7^{12}\cdot 23^{8}$ |
$4$ |
$76.6734060039$ |
$129.30025916061993$ |
✓ |
|
|
$C_2^2\times D_6$ (as 24T30) |
$[2, 4, 240]$ |
$6$ |
$11$ |
$43654858009.901855$ |
| 24.0.122...000.1 |
$x^{24} + 4 x^{22} - 20 x^{20} - 83 x^{18} + 320 x^{16} + 256 x^{14} - 7552 x^{12} + 4096 x^{10} + 81920 x^{8} - 339968 x^{6} - 1310720 x^{4} + 4194304 x^{2} + 16777216$ |
$24$ |
[0,12] |
$2^{24}\cdot 3^{12}\cdot 5^{12}\cdot 7^{12}\cdot 67^{8}$ |
$5$ |
$83.2369668377$ |
$167.74981371077584$ |
✓ |
|
|
$C_2^2\times D_6$ (as 24T30) |
$[2, 2, 2, 660]$ |
$2$ |
$11$ |
$104742868652.29132$ |
| 24.0.185...736.1 |
$x^{24} - 6 x^{22} - 12 x^{21} + 165 x^{20} + 180 x^{19} - 226 x^{18} + 648 x^{17} - 23244 x^{16} - 117288 x^{15} - 222138 x^{14} + 219384 x^{13} + 547477 x^{12} + 5606064 x^{11} + 28237566 x^{10} + 14850228 x^{9} + 29776521 x^{8} + 106963380 x^{7} - 310672020 x^{6} - 76948200 x^{5} + 606651408 x^{4} - 581982480 x^{3} + 263674800 x^{2} - 63828000 x + 7110000$ |
$24$ |
[0,12] |
$2^{36}\cdot 3^{28}\cdot 7^{12}\cdot 31^{8}$ |
$4$ |
$84.6946625422$ |
$150.11231557231721$ |
✓ |
|
|
$C_2^2\times D_6$ (as 24T30) |
$[2, 42, 42]$ |
$6$ |
$11$ |
$94328517321.12169$ |
| 24.0.185...736.2 |
$x^{24} + 42 x^{22} - 12 x^{21} + 813 x^{20} - 108 x^{19} + 7686 x^{18} - 4968 x^{17} + 40332 x^{16} + 18648 x^{15} + 488070 x^{14} + 450648 x^{13} + 1146125 x^{12} - 386640 x^{11} + 8799702 x^{10} + 24955764 x^{9} + 57927489 x^{8} + 41923764 x^{7} + 48457788 x^{6} + 171593352 x^{5} + 718221312 x^{4} + 1401006960 x^{3} + 1828544112 x^{2} + 1355445792 x + 600532528$ |
$24$ |
[0,12] |
$2^{36}\cdot 3^{28}\cdot 7^{12}\cdot 31^{8}$ |
$4$ |
$84.6946625422$ |
$150.11231557231721$ |
✓ |
|
|
$C_2^2\times D_6$ (as 24T30) |
$[2, 42, 42]$ |
$6$ |
$11$ |
$102770062236.43619$ |
| 24.0.457...000.1 |
$x^{24} - 8 x^{23} + 102 x^{22} - 612 x^{21} + 4179 x^{20} - 19236 x^{19} + 89532 x^{18} - 321504 x^{17} + 1103631 x^{16} - 3152176 x^{15} + 8359414 x^{14} - 19416180 x^{13} + 40793493 x^{12} - 76852756 x^{11} + 129341224 x^{10} - 193089256 x^{9} + 258275000 x^{8} - 296026256 x^{7} + 300495808 x^{6} - 266701408 x^{5} + 208845136 x^{4} - 178117888 x^{3} + 171891200 x^{2} - 95447040 x + 58491904$ |
$24$ |
[0,12] |
$2^{24}\cdot 3^{12}\cdot 5^{12}\cdot 7^{12}\cdot 79^{8}$ |
$5$ |
$87.9360612007$ |
$182.1537811850196$ |
✓ |
|
|
$C_2^2\times D_6$ (as 24T30) |
$[2, 66572]$ |
$4$ |
$11$ |
$1125992180218.7246$ |
| 24.0.796...000.1 |
$x^{24} - 8 x^{23} + 94 x^{22} - 540 x^{21} + 3479 x^{20} - 15300 x^{19} + 67880 x^{18} - 232592 x^{17} + 760111 x^{16} - 2060912 x^{15} + 5198726 x^{14} - 11410156 x^{13} + 22425193 x^{12} - 38226676 x^{11} + 56373604 x^{10} - 71188168 x^{9} + 74723232 x^{8} - 45518288 x^{7} - 37167216 x^{6} + 150845152 x^{5} - 182838480 x^{4} - 18130304 x^{3} + 316436992 x^{2} - 338027520 x + 142468096$ |
$24$ |
[0,12] |
$2^{36}\cdot 3^{12}\cdot 5^{12}\cdot 7^{12}\cdot 71^{8}$ |
$5$ |
$120.012300088$ |
$244.21302176583458$ |
✓ |
|
|
$C_2^2\times D_6$ (as 24T30) |
$[2, 2, 2, 40612]$ |
$2$ |
$11$ |
$11015429127799.914$ |
