| Label |
Polynomial |
Degree |
Signature |
Discriminant |
Ram. prime count |
Root discriminant |
Galois root discriminant |
CM field |
Galois |
Monogenic |
Galois group |
Class group |
Narrow class group |
Unit group torsion |
Unit group rank |
Regulator |
Unit signature rank |
Max $p$ |
| 15.1.551...000.1 |
$x^{15} - 185760 x^{10} - 32099328 x^{5} - 10208485085184$ |
$15$ |
(1, 7) |
$-\,2^{12}\cdot 3^{13}\cdot 5^{15}\cdot 11^{5}\cdot 43^{13}$ |
$5$ |
$1306.47963614$ |
$2916.5309088754652$ |
|
|
? |
$F_5 \times S_3$ (as 15T11) |
$[5]$ |
$[5]$ |
$2$ |
$7$ |
$380972780086174900$ |
$1$ |
$43$ |
| 15.1.231...000.1 |
$x^{15} - 98427 x^{10} - 776623 x^{5} - 3418801$ |
$15$ |
(1, 7) |
$-\,2^{10}\cdot 5^{9}\cdot 11^{5}\cdot 43^{13}\cdot 211^{5}$ |
$5$ |
$1437.58337385$ |
$7548.720532290397$ |
|
|
? |
$F_5 \times S_3$ (as 15T11) |
$[2, 8]$ |
$[2, 8]$ |
$2$ |
$7$ |
$188363589454473100$ |
$1$ |
$211$ |
| 15.1.394...000.1 |
$x^{15} - 5 x^{14} + 220 x^{13} - 1490 x^{12} + 21465 x^{11} - 164089 x^{10} + 1279530 x^{9} - 9297720 x^{8} + 55190240 x^{7} - 271383040 x^{6} + 1210610432 x^{5} - 3732515920 x^{4} + 15334623680 x^{3} - 28645458560 x^{2} + 73655450560 x + 43700529728$ |
$15$ |
(1, 7) |
$-\,2^{12}\cdot 5^{17}\cdot 43^{13}\cdot 149^{5}$ |
$4$ |
$1489.56028918$ |
$4213.599423113526$ |
|
|
|
$F_5 \times S_3$ (as 15T11) |
trivial |
trivial |
$2$ |
$7$ |
$3847491857052816400$ |
$1$ |
$149$ |
| 15.3.258...000.1 |
$x^{15} - 176988 x^{10} + 106524416 x^{5} + 7001704448$ |
$15$ |
(3, 6) |
$2^{23}\cdot 5^{15}\cdot 29^{5}\cdot 31^{5}\cdot 43^{13}$ |
$5$ |
$3637.54652236$ |
$21026.83722125961$ |
|
|
? |
$F_5 \times S_3$ (as 15T11) |
trivial |
$[2]$ |
$2$ |
$8$ |
$3386466797168130000000$ |
$2$ |
$43$ |
| 15.3.113...000.1 |
$x^{15} - 251163 x^{10} + 1860977349 x^{5} + 605630340747$ |
$15$ |
(3, 6) |
$2^{10}\cdot 3^{13}\cdot 5^{15}\cdot 43^{13}\cdot 421^{5}$ |
$5$ |
$4014.16403596$ |
$16450.305055670106$ |
|
|
? |
$F_5 \times S_3$ (as 15T11) |
not computed |
not computed |
$2$ |
$8$ |
|
|
$421$ |
| 15.1.140...000.1 |
$x^{15} - 81786 x^{10} + 1936879616 x^{5} - 896218169344$ |
$15$ |
(1, 7) |
$-\,2^{23}\cdot 5^{15}\cdot 43^{13}\cdot 1999^{5}$ |
$4$ |
$4747.80555121$ |
$31354.545066092614$ |
|
|
? |
$F_5 \times S_3$ (as 15T11) |
not computed |
not computed |
$2$ |
$7$ |
|
|
$1999$ |
| 15.3.723...000.1 |
$x^{15} - 570 x^{13} - 20 x^{12} + 129960 x^{11} - 9456 x^{10} - 14815280 x^{9} - 12147840 x^{8} + 842196240 x^{7} - 1490901760 x^{6} - 19175238432 x^{5} + 88346055360 x^{4} + 80742425600 x^{3} - 5233291050240 x^{2} + 5166247004160 x + 118890409442816$ |
$15$ |
(3, 6) |
$2^{18}\cdot 3^{13}\cdot 5^{15}\cdot 11^{5}\cdot 29^{5}\cdot 43^{13}$ |
$6$ |
$5296.39835996$ |
$23805.84380156761$ |
|
|
? |
$F_5 \times S_3$ (as 15T11) |
not computed |
not computed |
$2$ |
$8$ |
|
|
$43$ |
| 15.1.303...000.1 |
$x^{15} - 54825 x^{10} + 69421484375 x^{5} - 166933642578125$ |
$15$ |
(1, 7) |
$-\,2^{10}\cdot 5^{28}\cdot 43^{13}\cdot 541^{5}$ |
$4$ |
$6794.68125549$ |
$25141.918532319898$ |
|
|
? |
$F_5 \times S_3$ (as 15T11) |
not computed |
not computed |
$2$ |
$7$ |
|
|
$541$ |
| 15.1.579...000.1 |
$x^{15} - 445 x^{13} - 1730 x^{12} + 79210 x^{11} + 608914 x^{10} - 5852530 x^{9} - 85319850 x^{8} - 78237595 x^{7} + 4096316880 x^{6} + 21807673663 x^{5} - 55971381190 x^{4} - 889980416280 x^{3} - 3323210732650 x^{2} - 4561445696020 x - 3844755344086$ |
$15$ |
(1, 7) |
$-\,2^{23}\cdot 3^{12}\cdot 5^{15}\cdot 11^{5}\cdot 43^{13}\cdot 109^{5}$ |
$6$ |
$9642.55350402$ |
$58479.10295361619$ |
|
|
? |
$F_5 \times S_3$ (as 15T11) |
not computed |
not computed |
$2$ |
$7$ |
|
|
$109$ |
| 15.1.345...000.1 |
$x^{15} - 5 x^{14} + 5 x^{13} + 885 x^{12} - 3515 x^{11} - 259486 x^{10} + 1184015 x^{9} - 3970740 x^{8} + 1374036495 x^{7} - 3146621005 x^{6} + 26145667274 x^{5} - 398576324000 x^{4} + 711496163625 x^{3} + 39364388407250 x^{2} - 19342936311500 x - 649191429568550$ |
$15$ |
(1, 7) |
$-\,2^{10}\cdot 3^{13}\cdot 5^{28}\cdot 11^{5}\cdot 29^{5}\cdot 43^{13}$ |
$6$ |
$14764.0434674$ |
$51892.45925904009$ |
|
|
? |
$F_5 \times S_3$ (as 15T11) |
not computed |
not computed |
$2$ |
$7$ |
|
|
$43$ |
| 15.3.124...000.1 |
$x^{15} - 6 x^{14} - 5612 x^{13} + 76028 x^{12} + 15049768 x^{11} - 156320606 x^{10} - 20634964056 x^{9} + 261790345932 x^{8} + 22994910881888 x^{7} - 57978950329640 x^{6} - 11909676364684660 x^{5} + 40308498022610840 x^{4} + 7263121818166906744 x^{3} + 128646924961463259264 x^{2} + 1443546768447897363040 x + 11039634591408758044088$ |
$15$ |
(3, 6) |
$2^{23}\cdot 5^{9}\cdot 31^{13}\cdot 43^{13}\cdot 71^{5}$ |
$5$ |
$16078.0574082$ |
$68259.13867415124$ |
|
|
? |
$F_5 \times S_3$ (as 15T11) |
not computed |
not computed |
$2$ |
$8$ |
|
|
$71$ |
| 20.14.160...888.1 |
$x^{20} - 5 x^{19} - 49 x^{18} + 210 x^{17} + 909 x^{16} - 3337 x^{15} - 8389 x^{14} + 27496 x^{13} + 37049 x^{12} - 133381 x^{11} - 38829 x^{10} + 440984 x^{9} - 238340 x^{8} - 1245112 x^{7} + 629752 x^{6} + 2957142 x^{5} + 198024 x^{4} - 3921464 x^{3} - 1172328 x^{2} + 1358312 x - 121384$ |
$20$ |
(14, 3) |
$-\,2^{16}\cdot 17^{16}\cdot 43^{9}$ |
$3$ |
$91.2523250151$ |
$613.1806094654372$ |
|
|
? |
$C_2^8.C_{10}^2:C_8$ (as 20T861) |
trivial |
$[2]$ |
$2$ |
$16$ |
$38470334767200$ |
$13$ |
$43$ |
| 20.10.160...888.1 |
$x^{20} - 8 x^{19} + 8 x^{18} + 53 x^{17} - 542 x^{16} + 2972 x^{15} - 7464 x^{14} - 2446 x^{13} + 67928 x^{12} - 196562 x^{11} + 198708 x^{10} + 286906 x^{9} - 1129299 x^{8} + 1934490 x^{7} - 728180 x^{6} - 1132571 x^{5} + 5126568 x^{4} - 5930346 x^{3} - 4022984 x^{2} + 4759240 x - 201458$ |
$20$ |
(10, 5) |
$-\,2^{16}\cdot 17^{16}\cdot 43^{9}$ |
$3$ |
$91.2523250151$ |
$613.1806094654372$ |
|
|
? |
$C_{10}^2:C_8$ (as 20T170) |
trivial |
$[2]$ |
$2$ |
$14$ |
$10245946924900$ |
$9$ |
$43$ |
| 20.10.641...552.1 |
$x^{20} - 30 x^{18} + 65 x^{16} + 2948 x^{14} - 6790 x^{12} - 68240 x^{10} + 120314 x^{8} + 357244 x^{6} - 207819 x^{4} - 232802 x^{2} - 43$ |
$20$ |
(10, 5) |
$-\,2^{18}\cdot 17^{16}\cdot 43^{9}$ |
$3$ |
$97.8018203459$ |
$795.1968684997922$ |
|
|
|
$C_2^8.C_{10}^2:C_8$ (as 20T861) |
trivial |
$[2, 2]$ |
$2$ |
$14$ |
$36262575975800$ |
$8$ |
$43$ |
| 20.16.102...832.1 |
$x^{20} - 7 x^{19} - 63 x^{18} + 496 x^{17} + 1147 x^{16} - 12127 x^{15} - 3271 x^{14} + 130360 x^{13} - 72025 x^{12} - 684365 x^{11} + 612543 x^{10} + 1835528 x^{9} - 1739474 x^{8} - 2678868 x^{7} + 2064608 x^{6} + 2177232 x^{5} - 982664 x^{4} - 878584 x^{3} + 130892 x^{2} + 134316 x + 12844$ |
$20$ |
(16, 2) |
$2^{22}\cdot 17^{16}\cdot 43^{9}$ |
$3$ |
$112.344790147$ |
$1058.399276596085$ |
|
|
? |
$C_2^8.C_{10}^2:C_8$ (as 20T861) |
trivial |
$[2, 2]$ |
$2$ |
$17$ |
$155797468852000$ |
$14$ |
$43$ |
| 20.12.102...832.2 |
$x^{20} - 37 x^{18} + 126 x^{16} + 5610 x^{14} - 25535 x^{12} - 148381 x^{10} - 120744 x^{8} + 68972 x^{6} + 49708 x^{4} - 17028 x^{2} + 172$ |
$20$ |
(12, 4) |
$2^{22}\cdot 17^{16}\cdot 43^{9}$ |
$3$ |
$112.344790147$ |
$1058.399276596085$ |
|
|
? |
$C_2^8.C_{10}^2:C_8$ (as 20T861) |
trivial |
$[2, 2]$ |
$2$ |
$15$ |
$58618281206800$ |
$10$ |
$43$ |
| 20.12.102...832.4 |
$x^{20} - 48 x^{18} + 219 x^{16} + 12008 x^{14} - 159002 x^{12} + 454400 x^{10} + 1607426 x^{8} - 6058184 x^{6} - 5637687 x^{4} + 1975936 x^{2} + 120787$ |
$20$ |
(12, 4) |
$2^{22}\cdot 17^{16}\cdot 43^{9}$ |
$3$ |
$112.344790147$ |
$929.4080080297058$ |
|
|
? |
$C_2^8.C_{10}^2:C_8$ (as 20T861) |
trivial |
$[2, 2, 2]$ |
$2$ |
$15$ |
$66864543454200$ |
$9$ |
$43$ |
| 20.4.410...328.2 |
$x^{20} - 3 x^{19} + x^{18} + 78 x^{17} + 133 x^{16} - 2807 x^{15} + 2563 x^{14} + 30014 x^{13} - 19725 x^{12} - 314227 x^{11} + 329909 x^{10} + 1438594 x^{9} - 1416594 x^{8} - 5944968 x^{7} + 9759764 x^{6} + 6624504 x^{5} - 24867716 x^{4} + 7973164 x^{3} + 21322168 x^{2} - 13439868 x - 2519452$ |
$20$ |
(4, 8) |
$2^{24}\cdot 17^{16}\cdot 43^{9}$ |
$3$ |
$120.408164734$ |
$1780.008315193545$ |
|
|
? |
$C_2^8.C_{10}^2:C_8$ (as 20T861) |
$[2, 4]$ |
$[2, 4]$ |
$2$ |
$11$ |
$2765008363900$ |
$4$ |
$43$ |
| 20.12.117...128.1 |
$x^{20} - 67 x^{18} - 52 x^{17} + 144 x^{16} + 4460 x^{15} + 27808 x^{14} + 33844 x^{13} - 111875 x^{12} - 1173058 x^{11} - 4534751 x^{10} - 7112346 x^{9} + 10394846 x^{8} + 101847606 x^{7} + 290187726 x^{6} + 295206482 x^{5} - 291514064 x^{4} - 995982772 x^{3} - 869098088 x^{2} - 247787920 x + 9696728$ |
$20$ |
(12, 4) |
$2^{16}\cdot 17^{17}\cdot 43^{10}$ |
$3$ |
$126.893625976$ |
$731.9669470399855$ |
|
|
|
$C_2^9.C_5^2:C_8$ (as 20T758) |
trivial |
$[2, 2, 2]$ |
$2$ |
$15$ |
$1529507349660000$ |
$9$ |
$43$ |
| 20.16.117...128.1 |
$x^{20} - 6 x^{19} - 21 x^{18} + 306 x^{17} - 1426 x^{16} + 3806 x^{15} + 11290 x^{14} - 127502 x^{13} + 159989 x^{12} + 988208 x^{11} - 2195157 x^{10} - 3041336 x^{9} + 9761096 x^{8} + 2448100 x^{7} - 19393292 x^{6} + 5516804 x^{5} + 16116104 x^{4} - 10364544 x^{3} - 2841520 x^{2} + 3755872 x - 796448$ |
$20$ |
(16, 2) |
$2^{16}\cdot 17^{17}\cdot 43^{10}$ |
$3$ |
$126.893625976$ |
$731.9669470399855$ |
|
|
|
$C_2^9.C_5^2:C_8$ (as 20T758) |
trivial |
$[2, 2, 2]$ |
$2$ |
$17$ |
$4068019824220000$ |
$13$ |
$43$ |
| 20.8.117...128.1 |
$x^{20} - 10 x^{19} + 87 x^{18} - 498 x^{17} + 158 x^{16} + 8732 x^{15} - 43106 x^{14} + 115884 x^{13} + 72683 x^{12} - 1423734 x^{11} + 3115999 x^{10} - 1141324 x^{9} - 6094190 x^{8} + 13308136 x^{7} - 11165576 x^{6} + 126318 x^{5} + 10269744 x^{4} - 11950576 x^{3} + 7171400 x^{2} - 2370128 x + 336208$ |
$20$ |
(8, 6) |
$2^{16}\cdot 17^{17}\cdot 43^{10}$ |
$3$ |
$126.893625976$ |
$613.1806094654372$ |
|
|
|
$C_2^9.C_5^2:C_8$ (as 20T758) |
$[2]$ |
$[2, 2, 2]$ |
$2$ |
$13$ |
$280153441365000$ |
$6$ |
$43$ |
| 20.8.117...128.2 |
$x^{20} - 4 x^{19} - 52 x^{18} + 450 x^{17} - 1153 x^{16} - 958 x^{15} + 17106 x^{14} - 62330 x^{13} + 16648 x^{12} + 378826 x^{11} + 251214 x^{10} - 4803862 x^{9} + 11450392 x^{8} - 17272690 x^{7} + 16543854 x^{6} - 486430 x^{5} - 26915745 x^{4} + 38619194 x^{3} - 25473066 x^{2} + 7681180 x - 591023$ |
$20$ |
(8, 6) |
$2^{16}\cdot 17^{17}\cdot 43^{10}$ |
$3$ |
$126.893625976$ |
$613.1806094654372$ |
|
|
|
$C_2^9.C_5^2:C_8$ (as 20T758) |
$[2]$ |
$[2, 2, 2]$ |
$2$ |
$13$ |
$272881582241000$ |
$6$ |
$43$ |
| 20.20.174...144.1 |
$x^{20} - 6 x^{19} - 73 x^{18} + 346 x^{17} + 2110 x^{16} - 6440 x^{15} - 30582 x^{14} + 43000 x^{13} + 211533 x^{12} - 70124 x^{11} - 617895 x^{10} - 100896 x^{9} + 755336 x^{8} + 345958 x^{7} - 329306 x^{6} - 236142 x^{5} + 15266 x^{4} + 44620 x^{3} + 12668 x^{2} + 1380 x + 50$ |
$20$ |
(20, 0) |
$2^{22}\cdot 17^{17}\cdot 43^{9}$ |
$3$ |
$129.442050322$ |
$929.4080080297058$ |
|
|
? |
$C_{10}^2:C_8$ (as 20T170) |
$[2]$ |
$[2, 2, 2, 2]$ |
$2$ |
$19$ |
$806747988606000$ |
$17$ |
$43$ |
| 20.12.282...664.1 |
$x^{20} - 6 x^{19} - 4 x^{18} + 162 x^{17} - 1208 x^{16} + 7240 x^{15} - 36104 x^{14} + 123304 x^{13} - 222632 x^{12} - 326408 x^{11} + 3846380 x^{10} - 11878292 x^{9} + 13352068 x^{8} + 33494300 x^{7} - 148790728 x^{6} + 142664328 x^{5} + 187686032 x^{4} - 407915024 x^{3} + 69455264 x^{2} + 249373880 x - 130847444$ |
$20$ |
(12, 4) |
$2^{28}\cdot 17^{16}\cdot 43^{10}$ |
$3$ |
$166.930371087$ |
|
|
|
? |
$C_2^9.C_5^2:C_8$ (as 20T757) |
trivial |
$[2, 2, 2]$ |
$2$ |
$15$ |
$6089056446140000$ |
$9$ |
$43$ |
| 20.0.420...872.1 |
$x^{20} + 77 x^{18} + 2344 x^{16} + 36156 x^{14} + 303177 x^{12} + 1389835 x^{10} + 3358300 x^{8} + 3887372 x^{6} + 1783640 x^{4} + 143792 x^{2} + 688$ |
$20$ |
(0, 10) |
$2^{34}\cdot 17^{16}\cdot 43^{9}$ |
$3$ |
$170.282859587$ |
$2404.0680447359696$ |
✓ |
|
? |
$C_2^8.C_{10}^2:C_8$ (as 20T861) |
$[2, 2, 37280]$ |
$[2, 2, 37280]$ |
$2$ |
$9$ |
$2662030015.43$ |
$0$ |
$43$ |
| 20.0.119...072.1 |
$x^{20} - 3 x^{19} + 78 x^{18} - 190 x^{17} + 3095 x^{16} - 7679 x^{15} + 72224 x^{14} - 237212 x^{13} + 1306990 x^{12} - 3892714 x^{11} + 10247636 x^{10} - 32295944 x^{9} + 95659968 x^{8} - 257499600 x^{7} + 47671596 x^{6} + 2129367668 x^{5} - 3735088152 x^{4} - 1608098104 x^{3} + 14001852048 x^{2} - 16702671488 x + 6150678896$ |
$20$ |
(0, 10) |
$2^{26}\cdot 17^{17}\cdot 43^{10}$ |
$3$ |
$179.454686834$ |
$2684.866599711385$ |
✓ |
|
|
$C_2^9.C_5^2:C_8$ (as 20T758) |
$[2, 2, 2, 90242]$ |
$[2, 2, 2, 90242]$ |
$2$ |
$9$ |
$2662030015.43$ |
$0$ |
$43$ |
| 20.20.130...336.1 |
$x^{20} - 221 x^{18} + 19550 x^{16} - 891276 x^{14} + 22616443 x^{12} - 325313275 x^{10} + 2617974160 x^{8} - 11317195800 x^{6} + 23958782312 x^{4} - 19125153000 x^{2} + 1335902500$ |
$20$ |
(20, 0) |
$2^{32}\cdot 17^{18}\cdot 43^{10}$ |
$3$ |
$254.557706884$ |
|
|
|
? |
$C_2^9.C_5^2:C_8$ (as 20T757) |
$[2, 2]$ |
$[2, 2, 2, 2, 2, 2]$ |
$2$ |
$19$ |
$744440729941000000$ |
$16$ |
$43$ |
| 20.20.208...376.1 |
$x^{20} - 204 x^{18} + 17391 x^{16} - 807908 x^{14} + 22385260 x^{12} - 380263276 x^{10} + 3898475632 x^{8} - 22464913636 x^{6} + 59885450571 x^{4} - 33941467436 x^{2} + 5451016561$ |
$20$ |
(20, 0) |
$2^{36}\cdot 17^{18}\cdot 43^{10}$ |
$3$ |
$292.410019149$ |
$2755.5692965228022$ |
|
|
? |
$C_2^9.C_5^2:C_8$ (as 20T757) |
$[2]$ |
$[2, 2, 2, 2, 2, 2]$ |
$2$ |
$19$ |
$7054772447610000000$ |
$15$ |
$43$ |
| 24.4.556...125.2 |
$x^{24} - 6 x^{23} + 6 x^{22} + 84 x^{21} - 309 x^{20} - 201 x^{19} + 3231 x^{18} - 3406 x^{17} - 16959 x^{16} + 30759 x^{15} + 76131 x^{14} - 130381 x^{13} - 399199 x^{12} + 472779 x^{11} + 2145041 x^{10} - 1118816 x^{9} - 8394289 x^{8} - 5221 x^{7} + 24467441 x^{6} + 14350034 x^{5} - 50595958 x^{4} - 70652662 x^{3} + 22596957 x^{2} + 90573788 x + 43970932$ |
$24$ |
(4, 10) |
$5^{23}\cdot 43^{20}$ |
$2$ |
$107.41624516550993$ |
$187.90447151025603$ |
|
|
|
$\GL(2,5)$ (as 24T1353) |
trivial |
$[2]$ |
$2$ |
$13$ |
$1565252431862330.5$ |
$3$ |
$43$ |
| 24.4.543...125.2 |
$x^{24} - 12 x^{23} + 69 x^{22} - 253 x^{21} + 261 x^{20} + 2703 x^{19} - 16266 x^{18} + 47727 x^{17} - 69509 x^{16} - 45762 x^{15} + 493239 x^{14} - 1287673 x^{13} - 343639 x^{12} + 12119433 x^{11} - 23661541 x^{10} - 5646998 x^{9} + 48444391 x^{8} - 6173472 x^{7} - 88780256 x^{6} + 109854932 x^{5} - 46485074 x^{4} - 8778877 x^{3} + 17188854 x^{2} - 6862278 x + 1025351$ |
$24$ |
(4, 10) |
$5^{33}\cdot 43^{20}$ |
$2$ |
$210.04264033950975$ |
$357.7050872928245$ |
|
|
|
$\GL(2,5)$ (as 24T1353) |
$[2]$ |
$[2, 2]$ |
$2$ |
$13$ |
$3842028033102723600$ |
$3$ |
$43$ |
| 24.4.543...125.3 |
$x^{24} - 12 x^{23} + 69 x^{22} - 253 x^{21} + 261 x^{20} + 2703 x^{19} - 15406 x^{18} + 39987 x^{17} + 272986 x^{16} - 2610282 x^{15} + 6157629 x^{14} + 3326657 x^{13} - 48975994 x^{12} + 129522333 x^{11} - 171855021 x^{10} + 68435337 x^{9} + 134996941 x^{8} - 232660062 x^{7} + 184844654 x^{6} - 129342673 x^{5} + 113722606 x^{4} - 86398607 x^{3} + 43132904 x^{2} - 12596758 x + 1680671$ |
$24$ |
(4, 10) |
$5^{33}\cdot 43^{20}$ |
$2$ |
$210.04264033950975$ |
$357.7050872928245$ |
|
|
? |
$\GL(2,5)$ (as 24T1353) |
$[2]$ |
$[2, 2]$ |
$2$ |
$13$ |
$1585199492413569000$ |
$3$ |
$43$ |
| 24.4.543...125.4 |
$x^{24} - 12 x^{23} + 69 x^{22} - 253 x^{21} + 261 x^{20} + 2703 x^{19} - 5731 x^{18} - 47088 x^{17} + 200961 x^{16} - 60382 x^{15} - 1051751 x^{14} + 2261117 x^{13} - 638189 x^{12} - 4973927 x^{11} + 6175299 x^{10} + 11347892 x^{9} - 27609494 x^{8} - 389542 x^{7} + 74354864 x^{6} - 133325118 x^{5} + 4909816 x^{4} + 169121798 x^{3} - 90525931 x^{2} - 9747363 x + 434205631$ |
$24$ |
(4, 10) |
$5^{33}\cdot 43^{20}$ |
$2$ |
$210.04264033950975$ |
$357.7050872928245$ |
|
|
? |
$\GL(2,5)$ (as 24T1353) |
$[2, 2, 10]$ |
$[10, 2, 2, 2]$ |
$2$ |
$13$ |
$143751634415414750$ |
$3$ |
$43$ |
| 24.4.849...125.2 |
$x^{24} - 12 x^{23} + 69 x^{22} - 253 x^{21} + 2411 x^{20} - 18797 x^{19} + 127784 x^{18} - 635973 x^{17} - 1382084 x^{16} + 23174238 x^{15} - 72341279 x^{14} + 61852753 x^{13} - 794652496 x^{12} + 5160953537 x^{11} - 7916238699 x^{10} - 9406171075 x^{9} - 5379037625 x^{8} + 137878136250 x^{7} - 71114118750 x^{6} - 368881603125 x^{5} + 85168125000 x^{4} + 654233203125 x^{3} - 4236139843750 x^{2} + 3817180468750 x + 20163988671875$ |
$24$ |
(4, 10) |
$5^{39}\cdot 43^{20}$ |
$2$ |
$314.08700623617307$ |
$680.9466983236924$ |
|
|
? |
$\GL(2,5)$ (as 24T1353) |
trivial |
$[2]$ |
$2$ |
$13$ |
$868969478900863000000$ |
$3$ |
$43$ |
