| 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 |
| 24.0.224...696.1 |
$x^{24} - 4 x^{23} + 8 x^{22} - 12 x^{21} + 24 x^{20} - 56 x^{19} + 104 x^{18} - 152 x^{17} + 224 x^{16} - 376 x^{15} + 608 x^{14} - 848 x^{13} + 1156 x^{12} - 1696 x^{11} + 2432 x^{10} - 3008 x^{9} + 3584 x^{8} - 4864 x^{7} + 6656 x^{6} - 7168 x^{5} + 6144 x^{4} - 6144 x^{3} + 8192 x^{2} - 8192 x + 4096$ |
$24$ |
[0,12] |
$2^{32}\cdot 3^{12}\cdot 23^{4}\cdot 37^{8}$ |
$4$ |
$24.5257615907$ |
$127.320617115608$ |
✓ |
|
|
$C_2^3\times S_4$ (as 24T400) |
$[2]$ |
$12$ |
$11$ |
$25169728.518406376$ |
| 24.0.378...056.1 |
$x^{24} - 6 x^{23} + 18 x^{22} - 32 x^{21} + 30 x^{20} + 4 x^{19} - 62 x^{18} + 110 x^{17} - 118 x^{16} + 44 x^{15} + 206 x^{14} - 696 x^{13} + 1249 x^{12} - 1392 x^{11} + 824 x^{10} + 352 x^{9} - 1888 x^{8} + 3520 x^{7} - 3968 x^{6} + 512 x^{5} + 7680 x^{4} - 16384 x^{3} + 18432 x^{2} - 12288 x + 4096$ |
$24$ |
[0,12] |
$2^{24}\cdot 3^{12}\cdot 23^{4}\cdot 79^{8}$ |
$4$ |
$25.0661495321$ |
$147.66177569025777$ |
✓ |
|
|
$C_2^3\times S_4$ (as 24T400) |
$[4]$ |
$12$ |
$11$ |
$42401055.974884115$ |
| 24.0.442...256.1 |
$x^{24} + 32 x^{16} + 16 x^{12} + 512 x^{8} + 4096$ |
$24$ |
[0,12] |
$2^{52}\cdot 23^{4}\cdot 37^{8}$ |
$3$ |
$25.2301716175$ |
$130.9774217770704$ |
✓ |
|
? |
$C_2^3\times S_4$ (as 24T400) |
$[2]$ |
$8$ |
$11$ |
$43694305.58761333$ |
| 24.0.740...776.1 |
$x^{24} - 4 x^{23} + 8 x^{22} - 12 x^{21} + 12 x^{20} - 4 x^{19} - 8 x^{18} + 24 x^{17} - 56 x^{16} + 88 x^{15} - 88 x^{14} + 56 x^{13} - 28 x^{12} + 112 x^{11} - 352 x^{10} + 704 x^{9} - 896 x^{8} + 768 x^{7} - 512 x^{6} - 512 x^{5} + 3072 x^{4} - 6144 x^{3} + 8192 x^{2} - 8192 x + 4096$ |
$24$ |
[0,12] |
$2^{32}\cdot 3^{12}\cdot 31^{4}\cdot 37^{8}$ |
$4$ |
$25.7767491545$ |
$147.81403207845423$ |
✓ |
|
|
$C_2^3\times S_4$ (as 24T400) |
$[3]$ |
$12$ |
$11$ |
$39316667.48906936$ |
| 24.0.146...136.1 |
$x^{24} - 8 x^{20} + 16 x^{16} + 16 x^{12} + 256 x^{8} - 2048 x^{4} + 4096$ |
$24$ |
[0,12] |
$2^{52}\cdot 31^{4}\cdot 37^{8}$ |
$3$ |
$26.5170890821$ |
$152.05943281385314$ |
✓ |
|
? |
$C_2^3\times S_4$ (as 24T400) |
$[4]$ |
$8$ |
$11$ |
$64723765.21921788$ |
| 24.0.428...496.1 |
$x^{24} - 2 x^{22} - 5 x^{20} + 8 x^{18} + 19 x^{16} - 5 x^{14} - 91 x^{12} - 20 x^{10} + 304 x^{8} + 512 x^{6} - 1280 x^{4} - 2048 x^{2} + 4096$ |
$24$ |
[0,12] |
$2^{24}\cdot 3^{12}\cdot 23^{4}\cdot 107^{8}$ |
$4$ |
$27.7336175056$ |
$171.84877072589143$ |
✓ |
|
|
$C_2^3\times S_4$ (as 24T400) |
$[4]$ |
$12$ |
$11$ |
$52682650.63366059$ |
| 24.0.437...721.1 |
$x^{24} - x^{23} - 2 x^{22} + 3 x^{21} - x^{20} - 3 x^{19} + 22 x^{18} - 10 x^{17} - 34 x^{16} + 42 x^{15} - 35 x^{14} - 36 x^{13} + 213 x^{12} - 72 x^{11} - 140 x^{10} + 336 x^{9} - 544 x^{8} - 320 x^{7} + 1408 x^{6} - 384 x^{5} - 256 x^{4} + 1536 x^{3} - 2048 x^{2} - 2048 x + 4096$ |
$24$ |
[0,12] |
$3^{12}\cdot 7^{12}\cdot 11^{4}\cdot 67^{8}$ |
$4$ |
$27.7566274154$ |
$124.40659146524351$ |
✓ |
|
|
$C_2^3\times S_4$ (as 24T400) |
$[3]$ |
$6$ |
$11$ |
$68740449.37489599$ |
| 24.0.593...736.1 |
$x^{24} - 4 x^{21} + 4 x^{20} - 4 x^{19} + 8 x^{18} - 16 x^{17} + 40 x^{16} - 24 x^{15} + 40 x^{14} - 104 x^{13} + 100 x^{12} - 208 x^{11} + 160 x^{10} - 192 x^{9} + 640 x^{8} - 512 x^{7} + 512 x^{6} - 512 x^{5} + 1024 x^{4} - 2048 x^{3} + 4096$ |
$24$ |
[0,12] |
$2^{32}\cdot 3^{12}\cdot 7^{4}\cdot 101^{8}$ |
$4$ |
$28.1119358323$ |
$116.04960372572671$ |
✓ |
|
|
$C_2^3\times S_4$ (as 24T400) |
$[2, 2]$ |
$12$ |
$11$ |
$75194114.41726962$ |
| 24.0.117...696.1 |
$x^{24} - 8 x^{20} + 48 x^{16} - 240 x^{12} + 768 x^{8} - 2048 x^{4} + 4096$ |
$24$ |
[0,12] |
$2^{52}\cdot 7^{4}\cdot 101^{8}$ |
$3$ |
$28.9193451925$ |
$119.38269102516833$ |
✓ |
|
|
$C_2^3\times S_4$ (as 24T400) |
$[6]$ |
$8$ |
$11$ |
$139979456.91557625$ |
| 24.0.119...456.1 |
$x^{24} - 7 x^{20} + 8 x^{16} + 48 x^{12} + 128 x^{8} - 1792 x^{4} + 4096$ |
$24$ |
[0,12] |
$2^{48}\cdot 23^{4}\cdot 79^{8}$ |
$3$ |
$28.9438963598$ |
$170.5051318875769$ |
✓ |
|
|
$C_2^3\times S_4$ (as 24T400) |
$[2, 4]$ |
$8$ |
$11$ |
$139574796.2044391$ |
| 24.0.141...576.1 |
$x^{24} + 2 x^{22} + 3 x^{20} + 12 x^{18} + 7 x^{16} + 11 x^{14} + 85 x^{12} + 44 x^{10} + 112 x^{8} + 768 x^{6} + 768 x^{4} + 2048 x^{2} + 4096$ |
$24$ |
[0,12] |
$2^{24}\cdot 3^{12}\cdot 31^{4}\cdot 107^{8}$ |
$4$ |
$29.1482284431$ |
$199.50939827486823$ |
✓ |
|
|
$C_2^3\times S_4$ (as 24T400) |
$[3]$ |
$12$ |
$11$ |
$127557726.3707635$ |
| 24.0.407...456.1 |
$x^{24} + 2 x^{22} - x^{20} - 12 x^{18} - 17 x^{16} + 7 x^{14} + 85 x^{12} + 28 x^{10} - 272 x^{8} - 768 x^{6} - 256 x^{4} + 2048 x^{2} + 4096$ |
$24$ |
[0,12] |
$2^{24}\cdot 3^{12}\cdot 7^{4}\cdot 257^{8}$ |
$4$ |
$30.4615036615$ |
$146.92855406625358$ |
✓ |
|
? |
$C_2^3\times S_4$ (as 24T400) |
$[8]$ |
$12$ |
$11$ |
$84054622.35313553$ |
| 24.0.138...496.1 |
$x^{24} - 5 x^{22} + 17 x^{20} - 59 x^{18} + 151 x^{16} - 350 x^{14} + 785 x^{12} - 1400 x^{10} + 2416 x^{8} - 3776 x^{6} + 4352 x^{4} - 5120 x^{2} + 4096$ |
$24$ |
[0,12] |
$2^{24}\cdot 7^{12}\cdot 11^{4}\cdot 67^{8}$ |
$4$ |
$32.0505926202$ |
$143.6523581428443$ |
✓ |
|
|
$C_2^3\times S_4$ (as 24T400) |
$[2, 4]$ |
$4$ |
$11$ |
$442129154.20591074$ |
| 24.0.205...016.1 |
$x^{24} - 4 x^{22} + 20 x^{20} - 88 x^{18} - 350 x^{16} + 1912 x^{14} + 2476 x^{12} - 7440 x^{10} + 18241 x^{8} + 44 x^{6} + 1192 x^{4} + 264 x^{2} + 1156$ |
$24$ |
[0,12] |
$2^{48}\cdot 11^{4}\cdot 163^{8}$ |
$3$ |
$32.5852687319$ |
$169.37532287792104$ |
✓ |
|
|
$C_2^3\times S_4$ (as 24T400) |
$[8]$ |
$8$ |
$11$ |
$334393034.48166114$ |
| 24.0.308...696.1 |
$x^{24} - x^{22} + 3 x^{20} - 12 x^{18} + 19 x^{16} - 46 x^{14} + 145 x^{12} - 184 x^{10} + 304 x^{8} - 768 x^{6} + 768 x^{4} - 1024 x^{2} + 4096$ |
$24$ |
[0,12] |
$2^{24}\cdot 3^{12}\cdot 7^{4}\cdot 331^{8}$ |
$4$ |
$33.1423241741$ |
$166.74531477675768$ |
✓ |
|
|
$C_2^3\times S_4$ (as 24T400) |
$[3, 3]$ |
$12$ |
$11$ |
$345068328.7988333$ |
| 24.0.323...000.1 |
$x^{24} - 2 x^{23} + 2 x^{22} - 8 x^{21} + 12 x^{20} - 8 x^{19} + 24 x^{18} - 20 x^{17} - 12 x^{16} - 8 x^{15} - 56 x^{14} + 136 x^{13} - 92 x^{12} + 272 x^{11} - 224 x^{10} - 64 x^{9} - 192 x^{8} - 640 x^{7} + 1536 x^{6} - 1024 x^{5} + 3072 x^{4} - 4096 x^{3} + 2048 x^{2} - 4096 x + 4096$ |
$24$ |
[0,12] |
$2^{32}\cdot 3^{12}\cdot 5^{4}\cdot 197^{8}$ |
$4$ |
$33.2086354738$ |
$136.97839404177623$ |
✓ |
|
|
$C_2^3\times S_4$ (as 24T400) |
$[24]$ |
$12$ |
$11$ |
$240615848.04044476$ |
| 24.0.391...776.1 |
$x^{24} - 9 x^{22} + 39 x^{20} - 105 x^{18} + 186 x^{16} - 216 x^{14} + 257 x^{12} - 864 x^{10} + 2976 x^{8} - 6720 x^{6} + 9984 x^{4} - 9216 x^{2} + 4096$ |
$24$ |
[0,12] |
$2^{24}\cdot 3^{28}\cdot 19^{4}\cdot 23^{8}$ |
$4$ |
$33.4739018461$ |
$150.63024344425708$ |
✓ |
|
|
$C_2^3\times S_4$ (as 24T400) |
$[8]$ |
$12$ |
$11$ |
$374334194.38583374$ |
| 24.0.416...256.1 |
$x^{24} + 5 x^{22} + 10 x^{20} + 5 x^{18} - 10 x^{16} + 5 x^{14} + 53 x^{12} + 20 x^{10} - 160 x^{8} + 320 x^{6} + 2560 x^{4} + 5120 x^{2} + 4096$ |
$24$ |
[0,12] |
$2^{32}\cdot 3^{12}\cdot 37^{8}\cdot 151^{4}$ |
$4$ |
$33.560675027$ |
$326.22954514904984$ |
✓ |
|
|
$C_2^3\times S_4$ (as 24T400) |
$[21]$ |
$12$ |
$11$ |
$228253636.694425$ |
| 24.0.592...625.1 |
$x^{24} - 3 x^{22} - 24 x^{21} - 6 x^{20} + 39 x^{19} + 381 x^{18} + 156 x^{17} - 294 x^{16} - 3165 x^{15} - 1722 x^{14} + 1035 x^{13} + 16679 x^{12} - 2070 x^{11} - 6888 x^{10} + 25320 x^{9} - 4704 x^{8} - 4992 x^{7} + 24384 x^{6} - 4992 x^{5} - 1536 x^{4} + 12288 x^{3} - 3072 x^{2} + 4096$ |
$24$ |
[0,12] |
$3^{12}\cdot 5^{12}\cdot 7^{4}\cdot 257^{8}$ |
$4$ |
$34.056996442$ |
$164.27111736394806$ |
✓ |
|
? |
$C_2^3\times S_4$ (as 24T400) |
$[2, 2, 2, 4]$ |
$6$ |
$11$ |
$32276804.02307651$ |
| 24.0.596...936.1 |
$x^{24} + 3 x^{22} + 3 x^{20} - 12 x^{18} - 33 x^{16} - 6 x^{14} + 65 x^{12} - 24 x^{10} - 528 x^{8} - 768 x^{6} + 768 x^{4} + 3072 x^{2} + 4096$ |
$24$ |
[0,12] |
$2^{24}\cdot 3^{12}\cdot 79^{4}\cdot 107^{8}$ |
$4$ |
$34.0661507658$ |
$318.490188231914$ |
✓ |
|
|
$C_2^3\times S_4$ (as 24T400) |
$[5]$ |
$12$ |
$11$ |
$425168601.5905059$ |
| 24.0.822...416.1 |
$x^{24} - 5 x^{20} - 5 x^{16} + 97 x^{12} - 80 x^{8} - 1280 x^{4} + 4096$ |
$24$ |
[0,12] |
$2^{52}\cdot 37^{8}\cdot 151^{4}$ |
$3$ |
$34.5245788759$ |
$335.5992587777907$ |
✓ |
|
|
$C_2^3\times S_4$ (as 24T400) |
$[3, 6]$ |
$8$ |
$11$ |
$285102442.9733036$ |
| 24.0.835...000.1 |
$x^{24} - 3 x^{23} - 9 x^{22} - 4 x^{21} + 187 x^{20} - 115 x^{19} - 448 x^{18} - 489 x^{17} + 1763 x^{16} + 822 x^{15} - 4089 x^{14} + 1853 x^{13} + 3925 x^{12} - 3924 x^{11} + 3342 x^{10} + 1284 x^{9} - 3192 x^{8} + 2604 x^{7} + 1120 x^{6} - 640 x^{5} + 488 x^{4} + 384 x^{3} + 176 x^{2} + 64 x + 16$ |
$24$ |
[0,12] |
$2^{16}\cdot 3^{12}\cdot 5^{12}\cdot 23^{4}\cdot 37^{8}$ |
$5$ |
$34.5478353115$ |
$179.3482210779246$ |
✓ |
|
|
$C_2^3\times S_4$ (as 24T400) |
$[2, 6]$ |
$6$ |
$11$ |
$303438827.3321842$ |
| 24.0.854...625.1 |
$x^{24} - 6 x^{23} + 21 x^{22} - 50 x^{21} + 58 x^{20} + 130 x^{19} - 543 x^{18} + 984 x^{17} - 308 x^{16} - 2712 x^{15} + 6342 x^{14} - 10463 x^{13} + 17466 x^{12} - 25844 x^{11} + 30271 x^{10} - 28551 x^{9} + 28230 x^{8} - 32395 x^{7} + 31656 x^{6} - 19212 x^{5} + 2991 x^{4} + 2525 x^{3} - 280 x^{2} + 25 x + 25$ |
$24$ |
[0,12] |
$3^{12}\cdot 5^{12}\cdot 7^{4}\cdot 269^{8}$ |
$4$ |
$34.5790238782$ |
$168.062488378579$ |
✓ |
|
? |
$C_2^3\times S_4$ (as 24T400) |
$[5]$ |
$6$ |
$11$ |
$273776791.6534166$ |
| 24.0.918...816.1 |
$x^{24} - 8 x^{20} + 4 x^{18} + 32 x^{16} - 16 x^{14} - 124 x^{12} - 64 x^{10} + 512 x^{8} + 256 x^{6} - 2048 x^{4} + 4096$ |
$24$ |
[0,12] |
$2^{44}\cdot 3^{12}\cdot 23^{4}\cdot 37^{8}$ |
$4$ |
$34.6846646691$ |
$180.05854349460486$ |
✓ |
|
|
$C_2^3\times S_4$ (as 24T400) |
$[10]$ |
$6$ |
$11$ |
$264771048.6447484$ |
| 24.0.918...816.2 |
$x^{24} - 8 x^{20} - 4 x^{18} + 32 x^{16} + 16 x^{14} - 124 x^{12} + 64 x^{10} + 512 x^{8} - 256 x^{6} - 2048 x^{4} + 4096$ |
$24$ |
[0,12] |
$2^{44}\cdot 3^{12}\cdot 23^{4}\cdot 37^{8}$ |
$4$ |
$34.6846646691$ |
$180.05854349460486$ |
✓ |
|
|
$C_2^3\times S_4$ (as 24T400) |
$[6]$ |
$6$ |
$11$ |
$240519375.76663715$ |
| 24.0.275...000.1 |
$x^{24} - 3 x^{23} + 3 x^{22} - 24 x^{21} + 19 x^{20} + 229 x^{19} + 276 x^{18} - 851 x^{17} - 1075 x^{16} + 988 x^{15} + 641 x^{14} + 1579 x^{13} + 7515 x^{12} + 4710 x^{11} - 224 x^{10} + 4988 x^{9} + 3916 x^{8} - 1688 x^{7} + 448 x^{6} + 1944 x^{5} + 112 x^{4} - 336 x^{3} - 64 x^{2} - 16 x + 16$ |
$24$ |
[0,12] |
$2^{16}\cdot 3^{12}\cdot 5^{12}\cdot 31^{4}\cdot 37^{8}$ |
$5$ |
$36.3100196241$ |
$208.21595358397153$ |
✓ |
|
|
$C_2^3\times S_4$ (as 24T400) |
$[12]$ |
$6$ |
$11$ |
$541322986.1531726$ |
| 24.0.293...976.1 |
$x^{24} - 19 x^{22} + 241 x^{20} - 1610 x^{18} + 7614 x^{16} - 24398 x^{14} + 58013 x^{12} - 94299 x^{10} + 109661 x^{8} - 71796 x^{6} + 31680 x^{4} - 3136 x^{2} + 256$ |
$24$ |
[0,12] |
$2^{12}\cdot 3^{12}\cdot 7^{16}\cdot 67^{8}$ |
$4$ |
$36.4054094105$ |
$172.57049793444716$ |
✓ |
|
|
$C_2^3\times S_4$ (as 24T400) |
$[2, 24]$ |
$6$ |
$11$ |
$873678874.7572426$ |
| 24.0.303...496.1 |
$x^{24} + 4 x^{22} + 12 x^{20} + 20 x^{18} + 8 x^{16} - 72 x^{14} - 188 x^{12} - 288 x^{10} + 128 x^{8} + 1280 x^{6} + 3072 x^{4} + 4096 x^{2} + 4096$ |
$24$ |
[0,12] |
$2^{44}\cdot 3^{12}\cdot 31^{4}\cdot 37^{8}$ |
$4$ |
$36.4538282481$ |
$209.0406088744017$ |
✓ |
|
|
$C_2^3\times S_4$ (as 24T400) |
$[7]$ |
$6$ |
$11$ |
$623567586.3955535$ |
| 24.0.303...496.2 |
$x^{24} - 4 x^{22} + 12 x^{20} - 20 x^{18} + 8 x^{16} + 72 x^{14} - 188 x^{12} + 288 x^{10} + 128 x^{8} - 1280 x^{6} + 3072 x^{4} - 4096 x^{2} + 4096$ |
$24$ |
[0,12] |
$2^{44}\cdot 3^{12}\cdot 31^{4}\cdot 37^{8}$ |
$4$ |
$36.4538282481$ |
$209.0406088744017$ |
✓ |
|
|
$C_2^3\times S_4$ (as 24T400) |
$[12]$ |
$6$ |
$11$ |
$237102432.70635456$ |
| 24.0.353...281.1 |
$x^{24} - 2 x^{23} - 7 x^{22} + 14 x^{21} + 25 x^{20} - 12 x^{19} - 268 x^{18} - 313 x^{17} + 2800 x^{16} - 2645 x^{15} - 10816 x^{14} + 31893 x^{13} - 6434 x^{12} - 54716 x^{11} + 172187 x^{10} + 9248 x^{9} - 60593 x^{8} + 367920 x^{7} + 234693 x^{6} + 180360 x^{5} + 490716 x^{4} + 270864 x^{3} + 104976 x^{2} + 28512 x + 5184$ |
$24$ |
[0,12] |
$3^{12}\cdot 7^{12}\cdot 23^{4}\cdot 107^{8}$ |
$4$ |
$36.688127438$ |
$227.33455522643274$ |
✓ |
|
|
$C_2^3\times S_4$ (as 24T400) |
$[2, 6]$ |
$6$ |
$11$ |
$370326664.22350174$ |
| 24.0.448...625.1 |
$x^{24} - x^{23} + 2 x^{22} + 9 x^{21} - 46 x^{19} + 199 x^{18} - 103 x^{17} - 216 x^{16} + 912 x^{15} + 2705 x^{14} - 4516 x^{13} + 16949 x^{12} + 9032 x^{11} + 10820 x^{10} - 7296 x^{9} - 3456 x^{8} + 3296 x^{7} + 12736 x^{6} + 5888 x^{5} - 4608 x^{3} + 2048 x^{2} + 2048 x + 4096$ |
$24$ |
[0,12] |
$3^{12}\cdot 5^{12}\cdot 7^{4}\cdot 331^{8}$ |
$4$ |
$37.0542448929$ |
$186.42692938521517$ |
✓ |
|
|
$C_2^3\times S_4$ (as 24T400) |
$[4, 4]$ |
$6$ |
$11$ |
$336781284.2789491$ |
| 24.0.569...625.1 |
$x^{24} - 3 x^{23} - 9 x^{22} + 40 x^{21} + 6 x^{20} - 243 x^{19} + 341 x^{18} + 753 x^{17} - 2814 x^{16} + 612 x^{15} + 11199 x^{14} - 12645 x^{13} - 24445 x^{12} + 25290 x^{11} + 44796 x^{10} - 4896 x^{9} - 45024 x^{8} - 24096 x^{7} + 21824 x^{6} + 31104 x^{5} + 1536 x^{4} - 20480 x^{3} - 9216 x^{2} + 6144 x + 4096$ |
$24$ |
[0,12] |
$3^{28}\cdot 5^{12}\cdot 19^{4}\cdot 23^{8}$ |
$4$ |
$37.42496$ |
$168.40973190435042$ |
✓ |
|
|
$C_2^3\times S_4$ (as 24T400) |
$[20]$ |
$6$ |
$11$ |
$556691779.9808308$ |
| 24.0.579...336.1 |
$x^{24} + 13 x^{22} + 136 x^{20} + 883 x^{18} + 4031 x^{16} + 12572 x^{14} + 22323 x^{12} + 11191 x^{10} - 8512 x^{8} + 55249 x^{6} + 161925 x^{4} + 97452 x^{2} + 44944$ |
$24$ |
[0,12] |
$2^{32}\cdot 7^{16}\cdot 67^{8}$ |
$3$ |
$37.4510175285$ |
$140.90322153247132$ |
✓ |
|
|
$C_2^3\times S_4$ (as 24T400) |
$[4, 4]$ |
$4$ |
$11$ |
$1077079750.4637268$ |
| 24.0.584...256.1 |
$x^{24} - 4 x^{23} + 30 x^{22} - 92 x^{21} + 361 x^{20} - 880 x^{19} + 2540 x^{18} - 4982 x^{17} + 12529 x^{16} - 20004 x^{15} + 43214 x^{14} - 60504 x^{13} + 113081 x^{12} - 121444 x^{11} + 287510 x^{10} - 101990 x^{9} + 427620 x^{8} - 385852 x^{7} + 141346 x^{6} - 350472 x^{5} + 353336 x^{4} - 134512 x^{3} + 23872 x^{2} - 1984 x + 64$ |
$24$ |
[0,12] |
$2^{32}\cdot 7^{12}\cdot 23^{4}\cdot 37^{8}$ |
$4$ |
$37.4637196553$ |
$194.4854551535879$ |
✓ |
|
|
$C_2^3\times S_4$ (as 24T400) |
$[24]$ |
$4$ |
$11$ |
$1001584421.0005798$ |
| 24.0.643...000.1 |
$x^{24} - 18 x^{22} + 232 x^{20} - 1332 x^{18} + 5442 x^{16} - 11112 x^{14} + 16062 x^{12} - 12774 x^{10} + 7256 x^{8} - 2220 x^{6} + 470 x^{4} - 24 x^{2} + 1$ |
$24$ |
[0,12] |
$2^{16}\cdot 3^{12}\cdot 5^{12}\cdot 229^{8}$ |
$4$ |
$37.6135323577$ |
$165.7709262808168$ |
✓ |
|
|
$C_2^3\times S_4$ (as 24T400) |
$[2, 16]$ |
$6$ |
$11$ |
$741456199.7337086$ |
| 24.0.707...616.1 |
$x^{24} - 8 x^{22} + 37 x^{20} - 188 x^{18} + 592 x^{16} + 64 x^{14} - 111 x^{12} - 2746 x^{10} + 781 x^{8} + 1498 x^{6} + 1364 x^{4} + 672 x^{2} + 256$ |
$24$ |
[0,12] |
$2^{44}\cdot 3^{12}\cdot 229^{8}$ |
$3$ |
$37.7625036441$ |
$124.67973162308724$ |
✓ |
|
|
$C_2^3\times S_4$ (as 24T400) |
$[4, 8]$ |
$6$ |
$11$ |
$715208776.9233303$ |
| 24.0.707...616.2 |
$x^{24} + 8 x^{22} + 37 x^{20} + 188 x^{18} + 592 x^{16} - 64 x^{14} - 111 x^{12} + 2746 x^{10} + 781 x^{8} - 1498 x^{6} + 1364 x^{4} - 672 x^{2} + 256$ |
$24$ |
[0,12] |
$2^{44}\cdot 3^{12}\cdot 229^{8}$ |
$3$ |
$37.7625036441$ |
$124.67973162308724$ |
✓ |
|
|
$C_2^3\times S_4$ (as 24T400) |
$[12]$ |
$6$ |
$11$ |
$456587384.4019456$ |
| 24.0.985...216.1 |
$x^{24} + 24 x^{22} - 6 x^{21} + 261 x^{20} - 94 x^{19} + 1628 x^{18} - 308 x^{17} + 5652 x^{16} + 3260 x^{15} + 5430 x^{14} + 32224 x^{13} - 18339 x^{12} + 68292 x^{11} + 53384 x^{10} - 103798 x^{9} + 263425 x^{8} - 68690 x^{7} - 95586 x^{6} + 245952 x^{5} - 54376 x^{4} - 62848 x^{3} + 39136 x^{2} - 5504 x + 256$ |
$24$ |
[0,12] |
$2^{24}\cdot 7^{12}\cdot 23^{4}\cdot 79^{8}$ |
$4$ |
$38.2891758706$ |
$225.5570881173988$ |
✓ |
|
|
$C_2^3\times S_4$ (as 24T400) |
$[44]$ |
$4$ |
$11$ |
$1835532221.3716145$ |
| 24.0.116...161.1 |
$x^{24} - 2 x^{23} - 11 x^{22} + 6 x^{21} + 113 x^{20} - 40 x^{19} - 648 x^{18} + 205 x^{17} + 3400 x^{16} - 4523 x^{15} - 13476 x^{14} + 37935 x^{13} - 1158 x^{12} - 73038 x^{11} + 177591 x^{10} + 9770 x^{9} - 131365 x^{8} + 345614 x^{7} - 2443 x^{6} - 106368 x^{5} + 281532 x^{4} - 65456 x^{3} + 10960 x^{2} - 992 x + 64$ |
$24$ |
[0,12] |
$3^{12}\cdot 7^{12}\cdot 31^{4}\cdot 107^{8}$ |
$4$ |
$38.5594818093$ |
$263.9261260277201$ |
✓ |
|
|
$C_2^3\times S_4$ (as 24T400) |
$[2, 4]$ |
$6$ |
$11$ |
$744890206.3052474$ |
| 24.0.175...616.1 |
$x^{24} - 4 x^{23} + 34 x^{22} - 108 x^{21} + 487 x^{20} - 1242 x^{19} + 3940 x^{18} - 8206 x^{17} + 20383 x^{16} - 35274 x^{15} + 71735 x^{14} - 99114 x^{13} + 162727 x^{12} - 179660 x^{11} + 293140 x^{10} - 477024 x^{9} + 962428 x^{8} - 917952 x^{7} - 92720 x^{6} + 962272 x^{5} - 172976 x^{4} - 182208 x^{3} + 79296 x^{2} - 11520 x + 576$ |
$24$ |
[0,12] |
$2^{36}\cdot 3^{12}\cdot 23^{4}\cdot 107^{8}$ |
$4$ |
$39.2212580101$ |
$243.03086223770018$ |
✓ |
|
|
$C_2^3\times S_4$ (as 24T400) |
$[28]$ |
$6$ |
$11$ |
$888487091.449994$ |
| 24.0.190...376.1 |
$x^{24} - 3 x^{22} + 4 x^{20} - 7 x^{18} - 7 x^{16} + 52 x^{14} - 100 x^{12} + 208 x^{10} - 112 x^{8} - 448 x^{6} + 1024 x^{4} - 3072 x^{2} + 4096$ |
$24$ |
[0,12] |
$2^{32}\cdot 3^{12}\cdot 733^{8}$ |
$3$ |
$39.3521634246$ |
$187.57398540309367$ |
✓ |
|
|
$C_2^3\times S_4$ (as 24T400) |
$[2, 12]$ |
$12$ |
$11$ |
$1371337186.6336505$ |
| 24.0.192...136.1 |
$x^{24} - 26 x^{22} + 307 x^{20} - 1972 x^{18} + 6699 x^{16} - 9250 x^{14} - 7271 x^{12} + 37372 x^{10} + 17624 x^{8} + 96580 x^{6} + 133248 x^{4} + 14080 x^{2} + 1024$ |
$24$ |
[0,12] |
$2^{32}\cdot 7^{12}\cdot 31^{4}\cdot 37^{8}$ |
$4$ |
$39.3746347234$ |
$225.7896635920491$ |
✓ |
|
|
$C_2^3\times S_4$ (as 24T400) |
$[30]$ |
$4$ |
$11$ |
$1453734536.6958127$ |
| 24.0.221...000.1 |
$x^{24} - x^{23} + 5 x^{22} - 34 x^{21} + 33 x^{20} - 129 x^{19} + 506 x^{18} - 401 x^{17} + 1239 x^{16} - 3960 x^{15} + 737 x^{14} - 5321 x^{13} + 10019 x^{12} + 10642 x^{11} + 2948 x^{10} + 31680 x^{9} + 19824 x^{8} + 12832 x^{7} + 32384 x^{6} + 16512 x^{5} + 8448 x^{4} + 17408 x^{3} + 5120 x^{2} + 2048 x + 4096$ |
$24$ |
[0,12] |
$2^{16}\cdot 3^{12}\cdot 5^{12}\cdot 7^{4}\cdot 101^{8}$ |
$5$ |
$39.5994442755$ |
$163.4714821253856$ |
✓ |
|
|
$C_2^3\times S_4$ (as 24T400) |
$[2, 6]$ |
$6$ |
$11$ |
$990908592.69689$ |
| 24.0.243...656.1 |
$x^{24} + 4 x^{22} + 4 x^{20} - 12 x^{18} - 24 x^{16} + 40 x^{14} + 196 x^{12} + 160 x^{10} - 384 x^{8} - 768 x^{6} + 1024 x^{4} + 4096 x^{2} + 4096$ |
$24$ |
[0,12] |
$2^{44}\cdot 3^{12}\cdot 7^{4}\cdot 101^{8}$ |
$4$ |
$39.7562809187$ |
$164.118923496946$ |
✓ |
|
|
$C_2^3\times S_4$ (as 24T400) |
$[6, 6]$ |
$6$ |
$11$ |
$998674025.1051883$ |
| 24.0.243...656.2 |
$x^{24} - 4 x^{22} + 4 x^{20} + 12 x^{18} - 24 x^{16} - 40 x^{14} + 196 x^{12} - 160 x^{10} - 384 x^{8} + 768 x^{6} + 1024 x^{4} - 4096 x^{2} + 4096$ |
$24$ |
[0,12] |
$2^{44}\cdot 3^{12}\cdot 7^{4}\cdot 101^{8}$ |
$4$ |
$39.7562809187$ |
$164.118923496946$ |
✓ |
|
|
$C_2^3\times S_4$ (as 24T400) |
$[2, 2, 6]$ |
$6$ |
$11$ |
$704915646.43053$ |
| 24.0.266...136.1 |
$x^{24} - x^{20} - 4 x^{18} - 3 x^{16} + 2 x^{14} + 128 x^{12} + 8 x^{10} - 48 x^{8} - 256 x^{6} - 256 x^{4} + 4096$ |
$24$ |
[0,12] |
$2^{36}\cdot 3^{12}\cdot 11^{4}\cdot 163^{8}$ |
$4$ |
$39.9086407623$ |
$207.44155803502827$ |
✓ |
|
|
$C_2^3\times S_4$ (as 24T400) |
$[2, 8]$ |
$6$ |
$11$ |
$2576515936.099307$ |
| 24.0.305...336.1 |
$x^{24} + 11 x^{22} + 79 x^{20} + 372 x^{18} + 1243 x^{16} + 1301 x^{14} + 1128 x^{12} + 2642 x^{10} + 1273 x^{8} - 802 x^{6} + 185 x^{4} - 68 x^{2} + 16$ |
$24$ |
[0,12] |
$2^{24}\cdot 3^{12}\cdot 7^{8}\cdot 11^{4}\cdot 67^{8}$ |
$5$ |
$40.1371949733$ |
$248.81318293048702$ |
✓ |
|
|
$C_2^3\times S_4$ (as 24T400) |
$[6, 6]$ |
$12$ |
$11$ |
$619954286.7442101$ |
| 24.0.329...296.1 |
$x^{24} - 8 x^{20} + 2 x^{18} + 32 x^{16} - 8 x^{14} - 127 x^{12} - 32 x^{10} + 512 x^{8} + 128 x^{6} - 2048 x^{4} + 4096$ |
$24$ |
[0,12] |
$2^{24}\cdot 3^{12}\cdot 47^{4}\cdot 229^{8}$ |
$4$ |
$40.2610805722$ |
$359.3828042630866$ |
✓ |
|
|
$C_2^3\times S_4$ (as 24T400) |
$[2, 4, 12]$ |
$12$ |
$11$ |
$1067025243.2860419$ |
| 24.0.473...136.1 |
$x^{24} - 21 x^{22} + 302 x^{20} - 2225 x^{18} + 11710 x^{16} - 34721 x^{14} + 73365 x^{12} - 85824 x^{10} + 71108 x^{8} - 28328 x^{6} + 7920 x^{4} - 384 x^{2} + 16$ |
$24$ |
[0,12] |
$2^{16}\cdot 3^{12}\cdot 7^{12}\cdot 23^{4}\cdot 37^{8}$ |
$5$ |
$40.8775500073$ |
$212.20767697079802$ |
✓ |
|
|
$C_2^3\times S_4$ (as 24T400) |
$[3, 9]$ |
$6$ |
$11$ |
$902788187.607441$ |
| 24.0.517...000.1 |
$x^{24} - 8 x^{22} + 50 x^{20} - 156 x^{18} + 75 x^{16} + 1048 x^{14} + 2760 x^{12} - 3648 x^{10} + 13787 x^{8} + 1648 x^{6} + 6934 x^{4} + 3420 x^{2} + 2025$ |
$24$ |
[0,12] |
$2^{52}\cdot 3^{4}\cdot 5^{4}\cdot 197^{8}$ |
$4$ |
$41.0269226407$ |
$244.06775132948147$ |
✓ |
|
|
$C_2^3\times S_4$ (as 24T400) |
$[2, 2, 16]$ |
$8$ |
$11$ |
$1376750137.5660675$ |
