| 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 |
| 24.24.229...417.1 |
$x^{24} - x^{23} - 37 x^{22} + 32 x^{21} + 550 x^{20} - 411 x^{19} - 4276 x^{18} + 2783 x^{17} + 18986 x^{16} - 10883 x^{15} - 49508 x^{14} + 25292 x^{13} + 75800 x^{12} - 34634 x^{11} - 67445 x^{10} + 26654 x^{9} + 34507 x^{8} - 11047 x^{7} - 9753 x^{6} + 2302 x^{5} + 1370 x^{4} - 214 x^{3} - 76 x^{2} + 8 x + 1$ |
$24$ |
[24,0] |
$7^{16}\cdot 17^{21}$ |
$2$ |
$43.6557546046$ |
$43.65575460458605$ |
|
✓ |
? |
$C_{24}$ (as 24T1) |
trivial |
$2$ |
$23$ |
$657704246476.2357$ |
| 24.24.128...497.1 |
$x^{24} - 45 x^{22} - 4 x^{21} + 819 x^{20} + 132 x^{19} - 7783 x^{18} - 1692 x^{17} + 41631 x^{16} + 10764 x^{15} - 126369 x^{14} - 36012 x^{13} + 211167 x^{12} + 62388 x^{11} - 185646 x^{10} - 56140 x^{9} + 83349 x^{8} + 24507 x^{7} - 18724 x^{6} - 4968 x^{5} + 1995 x^{4} + 424 x^{3} - 90 x^{2} - 12 x + 1$ |
$24$ |
[24,0] |
$3^{32}\cdot 17^{21}$ |
$2$ |
$51.6183929215$ |
$51.618392921465954$ |
|
✓ |
? |
$C_{24}$ (as 24T1) |
trivial |
$2$ |
$23$ |
$5894416573994.629$ |
| 24.0.329...992.1 |
$x^{24} + 40 x^{22} + 644 x^{20} + 5440 x^{18} + 26378 x^{16} + 75632 x^{14} + 128408 x^{12} + 128416 x^{10} + 75464 x^{8} + 25504 x^{6} + 4640 x^{4} + 384 x^{2} + 8$ |
$24$ |
[0,12] |
$2^{93}\cdot 7^{16}$ |
$2$ |
$53.6895701026$ |
$53.68957010260808$ |
✓ |
✓ |
? |
$C_{24}$ (as 24T1) |
$[35, 35]$ |
$2$ |
$11$ |
$39019312.21180779$ |
| 24.24.329...992.1 |
$x^{24} - 40 x^{22} + 644 x^{20} - 5440 x^{18} + 26378 x^{16} - 75632 x^{14} + 128408 x^{12} - 128416 x^{10} + 75464 x^{8} - 25504 x^{6} + 4640 x^{4} - 384 x^{2} + 8$ |
$24$ |
[24,0] |
$2^{93}\cdot 7^{16}$ |
$2$ |
$53.6895701026$ |
$53.68957010260808$ |
|
✓ |
? |
$C_{24}$ (as 24T1) |
trivial |
$2$ |
$23$ |
$12155699667526.955$ |
| 24.0.551...217.1 |
$x^{24} - x^{23} + 14 x^{22} - 19 x^{21} - 11 x^{20} - 88 x^{19} - 536 x^{18} + 80 x^{17} - 139 x^{16} - 921 x^{15} + 8445 x^{14} + 3107 x^{13} + 29288 x^{12} + 72619 x^{11} + 63829 x^{10} + 241364 x^{9} + 226913 x^{8} + 188822 x^{7} + 582221 x^{6} - 247054 x^{5} + 681404 x^{4} - 328603 x^{3} + 359338 x^{2} - 70083 x + 149227$ |
$24$ |
[0,12] |
$7^{20}\cdot 17^{21}$ |
$2$ |
$60.3797308658$ |
$60.37973086580223$ |
✓ |
✓ |
|
$C_{24}$ (as 24T1) |
$[45, 90]$ |
$2$ |
$11$ |
$250243842.68845215$ |
| 24.0.718...417.1 |
$x^{24} - x^{23} + 2 x^{22} + 44 x^{21} - 37 x^{20} + 67 x^{19} + 673 x^{18} - 471 x^{17} + 766 x^{16} + 4426 x^{15} - 2494 x^{14} + 3352 x^{13} + 12938 x^{12} - 5456 x^{11} + 9467 x^{10} + 11999 x^{9} + 1136 x^{8} + 25522 x^{7} - 2247 x^{6} + 4983 x^{5} + 19195 x^{4} + 1635 x^{3} + 11808 x^{2} - 2620 x + 2264$ |
$24$ |
[0,12] |
$73^{23}$ |
$1$ |
$61.049822785$ |
$61.0498227849579$ |
✓ |
✓ |
|
$C_{24}$ (as 24T1) |
$[89]$ |
$2$ |
$11$ |
$7851263416.155112$ |
| 24.0.103...257.1 |
$x^{24} + 6 x^{22} - 4 x^{21} - 99 x^{20} - 21 x^{19} - 269 x^{18} - 162 x^{17} + 2106 x^{16} - 1085 x^{15} + 4752 x^{14} + 12591 x^{13} - 6399 x^{12} + 63306 x^{11} + 91182 x^{10} + 127001 x^{9} + 434943 x^{8} + 326223 x^{7} + 684787 x^{6} + 581175 x^{5} + 631794 x^{4} + 411790 x^{3} + 328707 x^{2} + 134169 x + 46819$ |
$24$ |
[0,12] |
$3^{36}\cdot 17^{21}$ |
$2$ |
$61.9904356262$ |
$61.99043562618385$ |
✓ |
✓ |
? |
$C_{24}$ (as 24T1) |
$[2, 22, 22]$ |
$2$ |
$11$ |
$363126034.10126877$ |
| 24.0.183...072.1 |
$x^{24} + 48 x^{22} + 936 x^{20} + 9584 x^{18} + 55620 x^{16} + 184752 x^{14} + 341336 x^{12} + 336864 x^{10} + 183060 x^{8} + 54976 x^{6} + 8592 x^{4} + 576 x^{2} + 8$ |
$24$ |
[0,12] |
$2^{93}\cdot 3^{32}$ |
$2$ |
$63.4823369895$ |
$63.48233698954048$ |
✓ |
✓ |
? |
$C_{24}$ (as 24T1) |
$[1753]$ |
$2$ |
$11$ |
$165705493.8155171$ |
| 24.24.183...072.1 |
$x^{24} - 48 x^{22} + 936 x^{20} - 9584 x^{18} + 55620 x^{16} - 184752 x^{14} + 341336 x^{12} - 336864 x^{10} + 183060 x^{8} - 54976 x^{6} + 8592 x^{4} - 576 x^{2} + 8$ |
$24$ |
[24,0] |
$2^{93}\cdot 3^{32}$ |
$2$ |
$63.4823369895$ |
$63.48233698954048$ |
|
✓ |
? |
$C_{24}$ (as 24T1) |
trivial |
$2$ |
$23$ |
$71277883593115.94$ |
| 24.24.459...497.1 |
$x^{24} - 5 x^{23} - 45 x^{22} + 222 x^{21} + 863 x^{20} - 4070 x^{19} - 9167 x^{18} + 40211 x^{17} + 58160 x^{16} - 235712 x^{15} - 220835 x^{14} + 853425 x^{13} + 474876 x^{12} - 1920029 x^{11} - 478385 x^{10} + 2610189 x^{9} + 1574 x^{8} - 1994333 x^{7} + 378789 x^{6} + 737208 x^{5} - 236349 x^{4} - 93592 x^{3} + 37133 x^{2} + 417 x - 307$ |
$24$ |
[24,0] |
$13^{16}\cdot 17^{21}$ |
$2$ |
$65.9586423372$ |
$65.95864233722786$ |
|
✓ |
? |
$C_{24}$ (as 24T1) |
trivial |
$2$ |
$23$ |
$116275529261718.16$ |
| 24.0.790...792.1 |
$x^{24} + 56 x^{22} + 1316 x^{20} + 17024 x^{18} + 133770 x^{16} + 665616 x^{14} + 2124248 x^{12} + 4313568 x^{10} + 5419400 x^{8} + 4006240 x^{6} + 1613472 x^{4} + 307328 x^{2} + 19208$ |
$24$ |
[0,12] |
$2^{93}\cdot 7^{20}$ |
$2$ |
$74.2573762029$ |
$74.25737620294277$ |
✓ |
✓ |
? |
$C_{24}$ (as 24T1) |
$[2, 26146]$ |
$2$ |
$11$ |
$39019312.21180779$ |
| 24.24.790...792.1 |
$x^{24} - 56 x^{22} + 1316 x^{20} - 17024 x^{18} + 133770 x^{16} - 665616 x^{14} + 2124248 x^{12} - 4313568 x^{10} + 5419400 x^{8} - 4006240 x^{6} + 1613472 x^{4} - 307328 x^{2} + 19208$ |
$24$ |
[24,0] |
$2^{93}\cdot 7^{20}$ |
$2$ |
$74.2573762029$ |
$74.25737620294277$ |
|
✓ |
? |
$C_{24}$ (as 24T1) |
trivial |
$2$ |
$23$ |
$499644460590361.75$ |
| 24.0.122...897.1 |
$x^{24} - 5 x^{23} + 22 x^{22} - 51 x^{21} + 119 x^{20} - x^{19} - 821 x^{18} + 6142 x^{17} - 14334 x^{16} + 31930 x^{15} + 29369 x^{14} - 210769 x^{13} + 636038 x^{12} - 582811 x^{11} + 1635343 x^{10} - 2062773 x^{9} + 5475610 x^{8} - 1268874 x^{7} + 9361191 x^{6} + 7380279 x^{5} + 5795470 x^{4} + 15518693 x^{3} + 16763733 x^{2} - 12721577 x + 8245033$ |
$24$ |
[0,12] |
$3^{12}\cdot 7^{16}\cdot 17^{21}$ |
$3$ |
$75.6139850179$ |
$75.61398501790201$ |
✓ |
✓ |
? |
$C_{24}$ (as 24T1) |
$[7, 1358]$ |
$2$ |
$11$ |
$250243842.68845215$ |
| 24.0.148...832.1 |
$x^{24} + 48 x^{22} + 936 x^{20} + 9744 x^{18} + 59940 x^{16} + 227664 x^{14} + 542232 x^{12} + 807840 x^{10} + 737748 x^{8} + 395712 x^{6} + 115344 x^{4} + 15552 x^{2} + 648$ |
$24$ |
[0,12] |
$2^{93}\cdot 3^{36}$ |
$2$ |
$76.2382844917$ |
$76.23828449167567$ |
✓ |
✓ |
|
$C_{24}$ (as 24T1) |
$[9, 8226]$ |
$2$ |
$11$ |
$165705493.8155171$ |
| 24.24.148...832.1 |
$x^{24} - 48 x^{22} + 936 x^{20} - 9744 x^{18} + 59940 x^{16} - 227664 x^{14} + 542232 x^{12} - 807840 x^{10} + 737748 x^{8} - 395712 x^{6} + 115344 x^{4} - 15552 x^{2} + 648$ |
$24$ |
[24,0] |
$2^{93}\cdot 3^{36}$ |
$2$ |
$76.2382844917$ |
$76.23828449167567$ |
|
✓ |
|
$C_{24}$ (as 24T1) |
trivial |
$2$ |
$23$ |
$2296290095857380.0$ |
| 24.24.496...873.1 |
$x^{24} - x^{23} - 46 x^{22} + 41 x^{21} + 861 x^{20} - 677 x^{19} - 8543 x^{18} + 5845 x^{17} + 49149 x^{16} - 28796 x^{15} - 168896 x^{14} + 82706 x^{13} + 345815 x^{12} - 136069 x^{11} - 410227 x^{10} + 124640 x^{9} + 264241 x^{8} - 62318 x^{7} - 82152 x^{6} + 16749 x^{5} + 10541 x^{4} - 1872 x^{3} - 298 x^{2} + 6 x + 1$ |
$24$ |
[24,0] |
$97^{23}$ |
$1$ |
$80.1658826556$ |
$80.1658826555746$ |
|
✓ |
? |
$C_{24}$ (as 24T1) |
trivial |
$2$ |
$23$ |
$1104768408470740.2$ |
| 24.0.658...072.1 |
$x^{24} - 8 x^{23} + 20 x^{22} - 16 x^{21} + 146 x^{20} - 688 x^{19} + 432 x^{18} + 152 x^{17} + 8583 x^{16} - 7840 x^{15} - 26876 x^{14} - 71320 x^{13} + 104650 x^{12} + 445488 x^{11} + 538844 x^{10} - 1035552 x^{9} - 4034182 x^{8} - 5015240 x^{7} + 2705996 x^{6} + 21877704 x^{5} + 42388968 x^{4} + 47076680 x^{3} + 36958600 x^{2} + 14571392 x + 3601057$ |
$24$ |
[0,12] |
$2^{93}\cdot 13^{16}$ |
$2$ |
$81.1185417298$ |
$81.11854172978686$ |
✓ |
✓ |
? |
$C_{24}$ (as 24T1) |
$[17401]$ |
$2$ |
$11$ |
$675765244.4059911$ |
| 24.24.658...072.1 |
$x^{24} - 8 x^{23} - 28 x^{22} + 336 x^{21} + 162 x^{20} - 5808 x^{19} + 2656 x^{18} + 53592 x^{17} - 47961 x^{16} - 286368 x^{15} + 333348 x^{14} + 896744 x^{13} - 1254214 x^{12} - 1565456 x^{11} + 2691436 x^{10} + 1258912 x^{9} - 3185590 x^{8} - 30664 x^{7} + 1861164 x^{6} - 496600 x^{5} - 410504 x^{4} + 187912 x^{3} + 6920 x^{2} - 10912 x + 961$ |
$24$ |
[24,0] |
$2^{93}\cdot 13^{16}$ |
$2$ |
$81.1185417298$ |
$81.11854172978686$ |
|
✓ |
? |
$C_{24}$ (as 24T1) |
trivial |
$2$ |
$23$ |
$2183476337861903.2$ |
| 24.24.199...777.1 |
$x^{24} - 5 x^{23} - 61 x^{22} + 354 x^{21} + 1311 x^{20} - 9890 x^{19} - 9525 x^{18} + 138743 x^{17} - 50028 x^{16} - 1029530 x^{15} + 1192975 x^{14} + 3901011 x^{13} - 7038616 x^{12} - 6545957 x^{11} + 18290959 x^{10} + 2375261 x^{9} - 22525088 x^{8} + 4333001 x^{7} + 13458471 x^{6} - 4381142 x^{5} - 3710767 x^{4} + 1393042 x^{3} + 364409 x^{2} - 141483 x + 2243$ |
$24$ |
[24,0] |
$17^{21}\cdot 19^{16}$ |
$2$ |
$84.946444694$ |
$84.94644469395223$ |
|
✓ |
? |
$C_{24}$ (as 24T1) |
trivial |
$2$ |
$23$ |
$2353165244433466.5$ |
| 24.0.385...072.1 |
$x^{24} - 8 x^{23} + 63 x^{22} - 310 x^{21} + 1456 x^{20} - 5348 x^{19} + 17865 x^{18} - 49630 x^{17} + 124148 x^{16} - 270256 x^{15} + 584017 x^{14} - 1171240 x^{13} + 2076162 x^{12} - 3016984 x^{11} + 4113398 x^{10} - 5646172 x^{9} + 7658667 x^{8} - 7777136 x^{7} + 1868535 x^{6} + 4655532 x^{5} + 13976710 x^{4} - 40286724 x^{3} + 84874236 x^{2} - 59364186 x + 23918117$ |
$24$ |
[0,12] |
$2^{24}\cdot 7^{16}\cdot 17^{21}$ |
$3$ |
$87.3115092092$ |
$87.3115092091721$ |
✓ |
✓ |
? |
$C_{24}$ (as 24T1) |
$[22, 2134]$ |
$2$ |
$11$ |
$250243842.68845215$ |
| 24.0.174...472.1 |
$x^{24} - 8 x^{23} + 84 x^{22} - 464 x^{21} + 2898 x^{20} - 12544 x^{19} + 57616 x^{18} - 203128 x^{17} + 733607 x^{16} - 2139056 x^{15} + 6251172 x^{14} - 15129912 x^{13} + 35924714 x^{12} - 71363632 x^{11} + 136971996 x^{10} - 220741648 x^{9} + 335285658 x^{8} - 416648024 x^{7} + 455672172 x^{6} - 417111304 x^{5} + 906259624 x^{4} - 1380779704 x^{3} + 3391259336 x^{2} - 2534548816 x + 1528760449$ |
$24$ |
[0,12] |
$2^{93}\cdot 3^{12}\cdot 7^{16}$ |
$3$ |
$92.9930632542$ |
$92.99306325424818$ |
✓ |
✓ |
? |
$C_{24}$ (as 24T1) |
$[9, 157698]$ |
$2$ |
$11$ |
$39019312.21180779$ |
| 24.24.174...472.1 |
$x^{24} - 8 x^{23} - 60 x^{22} + 592 x^{21} + 1218 x^{20} - 17920 x^{19} - 5984 x^{18} + 290696 x^{17} - 130873 x^{16} - 2788784 x^{15} + 2372100 x^{14} + 16485000 x^{13} - 17278534 x^{12} - 60737008 x^{11} + 67722252 x^{10} + 138010544 x^{9} - 149189430 x^{8} - 186714968 x^{7} + 178027020 x^{6} + 140684888 x^{5} - 100930472 x^{4} - 53389816 x^{3} + 18033608 x^{2} + 8567888 x + 707041$ |
$24$ |
[24,0] |
$2^{93}\cdot 3^{12}\cdot 7^{16}$ |
$3$ |
$92.9930632542$ |
$92.99306325424818$ |
|
✓ |
? |
$C_{24}$ (as 24T1) |
trivial |
$2$ |
$23$ |
$8200108600656127.0$ |
| 24.0.245...441.1 |
$x^{24} - 5 x^{23} + x^{22} + 61 x^{21} - 39 x^{20} - 700 x^{19} + 3090 x^{18} - 7779 x^{17} + 22384 x^{16} - 72096 x^{15} + 207606 x^{14} - 616456 x^{13} + 1615995 x^{12} - 3573246 x^{11} + 7176468 x^{10} - 14846103 x^{9} + 25647354 x^{8} - 34272758 x^{7} + 48792467 x^{6} - 43925395 x^{5} + 44954508 x^{4} - 483717 x^{3} - 63782464 x^{2} + 5264033 x + 40608077$ |
$24$ |
[0,12] |
$7^{16}\cdot 41^{21}$ |
$2$ |
$94.3158250026$ |
$94.31582500257859$ |
✓ |
✓ |
? |
$C_{24}$ (as 24T1) |
$[2, 3218]$ |
$2$ |
$11$ |
$7812223142.924683$ |
| 24.24.560...625.1 |
$x^{24} - 5 x^{23} - 80 x^{22} + 391 x^{21} + 2601 x^{20} - 12139 x^{19} - 46313 x^{18} + 198718 x^{17} + 505390 x^{16} - 1895700 x^{15} - 3523495 x^{14} + 10918179 x^{13} + 15636940 x^{12} - 37945411 x^{11} - 42438075 x^{10} + 77240969 x^{9} + 65224490 x^{8} - 86662186 x^{7} - 50769407 x^{6} + 48248857 x^{5} + 18427354 x^{4} - 10867585 x^{3} - 3123105 x^{2} + 786453 x + 185809$ |
$24$ |
[24,0] |
$5^{12}\cdot 7^{16}\cdot 17^{21}$ |
$3$ |
$97.6172349049$ |
$97.61723490490387$ |
|
✓ |
|
$C_{24}$ (as 24T1) |
$[2]$ |
$2$ |
$23$ |
$32766500146226612$ |
| 24.24.131...817.1 |
$x^{24} - x^{23} - 84 x^{22} + 63 x^{21} + 2801 x^{20} - 1147 x^{19} - 49983 x^{18} + 2233 x^{17} + 532103 x^{16} + 159384 x^{15} - 3510649 x^{14} - 2098073 x^{13} + 14336745 x^{12} + 12003549 x^{11} - 35220104 x^{10} - 35548977 x^{9} + 50070137 x^{8} + 54635234 x^{7} - 41568187 x^{6} - 42464033 x^{5} + 21375788 x^{4} + 15045613 x^{3} - 6533360 x^{2} - 1549447 x + 651067$ |
$24$ |
[24,0] |
$13^{20}\cdot 17^{21}$ |
$2$ |
$101.141393545$ |
$101.14139354503835$ |
|
✓ |
? |
$C_{24}$ (as 24T1) |
$[2]$ |
$2$ |
$23$ |
$20074475366539372$ |
| 24.0.214...352.1 |
$x^{24} + 27 x^{22} - 8 x^{21} + 405 x^{20} - 36 x^{19} + 2970 x^{18} - 1512 x^{17} + 13275 x^{16} + 4036 x^{15} + 125271 x^{14} + 30078 x^{13} - 34809 x^{12} - 434232 x^{11} + 1143855 x^{10} + 2964574 x^{9} + 2598465 x^{8} - 8457624 x^{7} - 22218139 x^{6} - 5011404 x^{5} + 80638593 x^{4} + 165688332 x^{3} + 238003584 x^{2} + 132575034 x + 49248593$ |
$24$ |
[0,12] |
$2^{24}\cdot 3^{32}\cdot 17^{21}$ |
$3$ |
$103.236785843$ |
$103.23678584293191$ |
✓ |
✓ |
? |
$C_{24}$ (as 24T1) |
$[2, 2, 2, 35186]$ |
$2$ |
$11$ |
$363126034.10126877$ |
| 24.0.285...352.1 |
$x^{24} - 8 x^{23} + 4 x^{22} + 160 x^{21} - 366 x^{20} - 2096 x^{19} + 9424 x^{18} + 9272 x^{17} - 118313 x^{16} + 93936 x^{15} + 920836 x^{14} - 2216152 x^{13} - 3301798 x^{12} + 19850880 x^{11} - 10729860 x^{10} - 91920960 x^{9} + 196565146 x^{8} + 95850552 x^{7} - 925083908 x^{6} + 1169190712 x^{5} + 838300088 x^{4} - 4404732392 x^{3} + 6039046872 x^{2} - 4045865776 x + 1138840609$ |
$24$ |
[0,12] |
$2^{93}\cdot 19^{16}$ |
$2$ |
$104.470490515$ |
$104.47049051545112$ |
✓ |
✓ |
? |
$C_{24}$ (as 24T1) |
$[42121]$ |
$2$ |
$11$ |
$2829344790.959167$ |
| 24.24.285...352.1 |
$x^{24} - 8 x^{23} - 44 x^{22} + 512 x^{21} + 226 x^{20} - 12464 x^{19} + 17024 x^{18} + 141816 x^{17} - 362121 x^{16} - 713488 x^{15} + 2995748 x^{14} + 677608 x^{13} - 11628982 x^{12} + 6093888 x^{11} + 21284236 x^{10} - 19658944 x^{9} - 18084118 x^{8} + 22241592 x^{7} + 7013084 x^{6} - 11297384 x^{5} - 996472 x^{4} + 2527320 x^{3} - 43816 x^{2} - 193168 x + 18817$ |
$24$ |
[24,0] |
$2^{93}\cdot 19^{16}$ |
$2$ |
$104.470490515$ |
$104.47049051545112$ |
|
✓ |
? |
$C_{24}$ (as 24T1) |
trivial |
$2$ |
$23$ |
$59505566364712370$ |
| 24.24.292...697.1 |
$x^{24} - x^{23} - 105 x^{22} + 100 x^{21} + 4511 x^{20} - 4015 x^{19} - 105494 x^{18} + 83380 x^{17} + 1506639 x^{16} - 983266 x^{15} - 13895634 x^{14} + 6683053 x^{13} + 84757288 x^{12} - 23875060 x^{11} - 341602545 x^{10} + 21686592 x^{9} + 884418690 x^{8} + 143637015 x^{7} - 1370203412 x^{6} - 525293261 x^{5} + 1077486700 x^{4} + 639111352 x^{3} - 255401650 x^{2} - 224590834 x - 30499937$ |
$24$ |
[24,0] |
$3^{12}\cdot 7^{20}\cdot 17^{21}$ |
$3$ |
$104.580761607$ |
$104.58076160690422$ |
|
✓ |
|
$C_{24}$ (as 24T1) |
$[2]$ |
$2$ |
$23$ |
$69410144097227096$ |
| 24.24.381...897.1 |
$x^{24} - x^{23} - 71 x^{22} - 29 x^{21} + 2080 x^{20} + 3352 x^{19} - 29841 x^{18} - 83107 x^{17} + 190055 x^{16} + 909918 x^{15} - 76005 x^{14} - 4718726 x^{13} - 4976758 x^{12} + 10129791 x^{11} + 22903362 x^{10} + 199317 x^{9} - 36699395 x^{8} - 28704066 x^{7} + 14798722 x^{6} + 30078720 x^{5} + 9434735 x^{4} - 6667061 x^{3} - 5823958 x^{2} - 1561389 x - 136217$ |
$24$ |
[24,0] |
$3^{12}\cdot 73^{23}$ |
$2$ |
$105.741394857$ |
$105.74139485662317$ |
|
✓ |
|
$C_{24}$ (as 24T1) |
trivial |
$2$ |
$23$ |
$57070082442997110$ |
| 24.0.136...281.1 |
$x^{24} - 3 x^{23} - 12 x^{22} + 6 x^{21} + 282 x^{20} - 141 x^{19} - 370 x^{18} + 1773 x^{17} + 14088 x^{16} + 4028 x^{15} + 7050 x^{14} + 231120 x^{13} + 276543 x^{12} + 33774 x^{11} + 678828 x^{10} + 4932093 x^{9} + 2915523 x^{8} - 2760081 x^{7} + 10375899 x^{6} - 8875281 x^{5} + 23389131 x^{4} - 85081742 x^{3} - 113242662 x^{2} + 139342389 x + 160787897$ |
$24$ |
[0,12] |
$3^{32}\cdot 41^{21}$ |
$2$ |
$111.518661349$ |
$111.51866134926217$ |
✓ |
✓ |
? |
$C_{24}$ (as 24T1) |
$[11, 11, 11, 11]$ |
$2$ |
$11$ |
$24556622934.637486$ |
| 24.0.244...177.1 |
$x^{24} - 5 x^{23} + 6 x^{22} + x^{21} + 81 x^{20} + 129 x^{19} - 2197 x^{18} + 4630 x^{17} + 8894 x^{16} + 31732 x^{15} + 28113 x^{14} - 581885 x^{13} + 177954 x^{12} + 2210291 x^{11} + 5137939 x^{10} + 8571783 x^{9} + 12801350 x^{8} + 18607066 x^{7} + 9837385 x^{6} - 2941847 x^{5} - 41535792 x^{4} - 66533111 x^{3} + 117512811 x^{2} - 2095819 x + 273883429$ |
$24$ |
[0,12] |
$3^{12}\cdot 13^{16}\cdot 17^{21}$ |
$3$ |
$114.243719726$ |
$114.24371972634225$ |
✓ |
✓ |
? |
$C_{24}$ (as 24T1) |
$[251618]$ |
$2$ |
$11$ |
$2336441224.9148784$ |
| 24.24.312...625.1 |
$x^{24} - 3 x^{23} - 93 x^{22} + 270 x^{21} + 3477 x^{20} - 10062 x^{19} - 67873 x^{18} + 199791 x^{17} + 747420 x^{16} - 2279604 x^{15} - 4659075 x^{14} + 15106521 x^{13} + 15539040 x^{12} - 56435415 x^{11} - 23757957 x^{10} + 111946165 x^{9} + 7486908 x^{8} - 107443881 x^{7} + 13298941 x^{6} + 45531318 x^{5} - 10843575 x^{4} - 7054732 x^{3} + 2230455 x^{2} + 56223 x - 19889$ |
$24$ |
[24,0] |
$3^{32}\cdot 5^{12}\cdot 17^{21}$ |
$3$ |
$115.422235462$ |
$115.42223546169184$ |
|
✓ |
? |
$C_{24}$ (as 24T1) |
$[2]$ |
$2$ |
$23$ |
$41783017964045590$ |
| 24.24.502...377.1 |
$x^{24} - 5 x^{23} - 93 x^{22} + 498 x^{21} + 3404 x^{20} - 20333 x^{19} - 61013 x^{18} + 441083 x^{17} + 513767 x^{16} - 5531777 x^{15} - 779357 x^{14} + 41207184 x^{13} - 19336098 x^{12} - 182664671 x^{11} + 153613396 x^{10} + 477755253 x^{9} - 508719376 x^{8} - 726080555 x^{7} + 857890224 x^{6} + 619882563 x^{5} - 731825889 x^{4} - 273937411 x^{3} + 269369498 x^{2} + 49495809 x - 21745039$ |
$24$ |
[24,0] |
$17^{21}\cdot 31^{16}$ |
$2$ |
$117.729130208$ |
$117.72913020799014$ |
|
✓ |
|
$C_{24}$ (as 24T1) |
trivial |
$2$ |
$23$ |
$161327439996204220$ |
| 24.24.803...000.1 |
$x^{24} - 8 x^{23} - 108 x^{22} + 944 x^{21} + 4690 x^{20} - 46592 x^{19} - 104880 x^{18} + 1263752 x^{17} + 1258535 x^{16} - 20818864 x^{15} - 6900956 x^{14} + 217154504 x^{13} - 6961878 x^{12} - 1448821552 x^{11} + 317777564 x^{10} + 6090345968 x^{9} - 1791337062 x^{8} - 15422126936 x^{7} + 4493317356 x^{6} + 21527186808 x^{5} - 4700840216 x^{4} - 14279404728 x^{3} + 307199304 x^{2} + 3801597744 x + 854853761$ |
$24$ |
[24,0] |
$2^{93}\cdot 5^{12}\cdot 7^{16}$ |
$3$ |
$120.053528432$ |
$120.05352843217203$ |
|
✓ |
? |
$C_{24}$ (as 24T1) |
$[2]$ |
$2$ |
$23$ |
$78355829164159620$ |
| 24.0.803...000.1 |
$x^{24} - 8 x^{23} + 132 x^{22} - 816 x^{21} + 7490 x^{20} - 37632 x^{19} + 244320 x^{18} - 1018488 x^{17} + 5077575 x^{16} - 17687984 x^{15} + 70097284 x^{14} - 203685496 x^{13} + 648555642 x^{12} - 1555088112 x^{11} + 3963223884 x^{10} - 7693059152 x^{9} + 15378660938 x^{8} - 23276555096 x^{7} + 35133764236 x^{6} - 39972851752 x^{5} + 66295185944 x^{4} - 78964916728 x^{3} + 208299167304 x^{2} - 158776304176 x + 138265878241$ |
$24$ |
[0,12] |
$2^{93}\cdot 5^{12}\cdot 7^{16}$ |
$3$ |
$120.053528432$ |
$120.05352843217203$ |
✓ |
✓ |
? |
$C_{24}$ (as 24T1) |
$[25812562]$ |
$2$ |
$11$ |
$39019312.21180779$ |
| 24.24.924...872.1 |
$x^{24} - 119 x^{22} + 5474 x^{20} - 129353 x^{18} + 1774290 x^{16} - 14954016 x^{14} + 79004219 x^{12} - 260208375 x^{10} + 521209766 x^{8} - 610027558 x^{6} + 389271729 x^{4} - 117961130 x^{2} + 11796113$ |
$24$ |
[24,0] |
$2^{24}\cdot 7^{20}\cdot 17^{21}$ |
$3$ |
$120.759461732$ |
$120.75946173160446$ |
|
✓ |
|
$C_{24}$ (as 24T1) |
$[2]$ |
$2$ |
$23$ |
$439337526752110400$ |
| 24.24.120...072.1 |
$x^{24} - 73 x^{22} + 2117 x^{20} - 31682 x^{18} + 266304 x^{16} - 1295531 x^{14} + 3704020 x^{12} - 6199963 x^{10} + 5868543 x^{8} - 2893939 x^{6} + 634370 x^{4} - 39128 x^{2} + 73$ |
$24$ |
[24,0] |
$2^{24}\cdot 73^{23}$ |
$2$ |
$122.09964557$ |
$122.0996455699158$ |
|
✓ |
|
$C_{24}$ (as 24T1) |
trivial |
$2$ |
$23$ |
$350191229019042400$ |
| 24.24.157...912.1 |
$x^{24} - 8 x^{23} - 90 x^{22} + 812 x^{21} + 2884 x^{20} - 32480 x^{19} - 37878 x^{18} + 677528 x^{17} + 54533 x^{16} - 8131192 x^{15} + 4000252 x^{14} + 58030784 x^{13} - 46687896 x^{12} - 245393056 x^{11} + 235875554 x^{10} + 595179728 x^{9} - 603277524 x^{8} - 773906888 x^{7} + 753516480 x^{6} + 505329876 x^{5} - 379624562 x^{4} - 197885496 x^{3} + 59502960 x^{2} + 38091612 x + 4464473$ |
$24$ |
[24,0] |
$2^{36}\cdot 7^{16}\cdot 17^{21}$ |
$3$ |
$123.477120475$ |
$123.47712047487458$ |
|
✓ |
|
$C_{24}$ (as 24T1) |
$[2]$ |
$2$ |
$23$ |
$613781865761664800$ |
| 24.0.157...912.1 |
$x^{24} - 8 x^{23} + 114 x^{22} - 684 x^{21} + 5264 x^{20} - 24864 x^{19} + 129606 x^{18} - 486360 x^{17} + 1873125 x^{16} - 5644568 x^{15} + 17355316 x^{14} - 43557136 x^{13} + 108451452 x^{12} - 222385392 x^{11} + 444585438 x^{10} - 739565888 x^{9} + 1174873040 x^{8} - 1515252680 x^{7} + 1736251528 x^{6} - 1615397140 x^{5} + 3220405394 x^{4} - 4797698440 x^{3} + 12232348200 x^{2} - 9245671084 x + 5865361489$ |
$24$ |
[0,12] |
$2^{36}\cdot 7^{16}\cdot 17^{21}$ |
$3$ |
$123.477120475$ |
$123.47712047487458$ |
✓ |
✓ |
|
$C_{24}$ (as 24T1) |
$[4662, 4662]$ |
$2$ |
$11$ |
$250243842.68845215$ |
| 24.24.173...512.1 |
$x^{24} - 102 x^{22} + 3825 x^{20} - 72114 x^{18} + 773874 x^{16} - 5001723 x^{14} + 19879443 x^{12} - 48441024 x^{10} + 70929270 x^{8} - 60356205 x^{6} + 27856710 x^{4} - 5969295 x^{2} + 397953$ |
$24$ |
[24,0] |
$2^{24}\cdot 3^{36}\cdot 17^{21}$ |
$3$ |
$123.980871252$ |
$123.9808712523677$ |
|
✓ |
? |
$C_{24}$ (as 24T1) |
$[2]$ |
$2$ |
$23$ |
$132447362854217420$ |
| 24.24.188...392.1 |
$x^{24} - 104 x^{22} + 4004 x^{20} - 74048 x^{18} + 745290 x^{16} - 4421040 x^{14} + 16152344 x^{12} - 36909600 x^{10} + 52112840 x^{8} - 43377568 x^{6} + 19192992 x^{4} - 3655808 x^{2} + 228488$ |
$24$ |
[24,0] |
$2^{93}\cdot 13^{20}$ |
$2$ |
$124.387677826$ |
$124.38767782612926$ |
|
✓ |
? |
$C_{24}$ (as 24T1) |
$[2]$ |
$2$ |
$23$ |
$155322620827080350$ |
| 24.0.188...392.1 |
$x^{24} + 104 x^{22} + 4004 x^{20} + 74048 x^{18} + 745290 x^{16} + 4421040 x^{14} + 16152344 x^{12} + 36909600 x^{10} + 52112840 x^{8} + 43377568 x^{6} + 19192992 x^{4} + 3655808 x^{2} + 228488$ |
$24$ |
[0,12] |
$2^{93}\cdot 13^{20}$ |
$2$ |
$124.387677826$ |
$124.38767782612926$ |
✓ |
✓ |
? |
$C_{24}$ (as 24T1) |
$[135, 26190]$ |
$2$ |
$11$ |
$675765244.4059911$ |
| 24.0.221...073.1 |
$x^{24} - x^{23} + 18 x^{22} - 22 x^{21} + 81 x^{20} + 247 x^{19} - 105 x^{18} + 4681 x^{17} - 25004 x^{16} - 6400 x^{15} + 458052 x^{14} - 33644 x^{13} - 1878824 x^{12} + 552604 x^{11} + 13524047 x^{10} - 12452743 x^{9} - 45630734 x^{8} + 144085698 x^{7} + 197154619 x^{6} - 15508935 x^{5} + 306255413 x^{4} - 6358985 x^{3} + 365222708 x^{2} + 66055116 x + 117887368$ |
$24$ |
[0,12] |
$13^{22}\cdot 17^{21}$ |
$2$ |
$125.244177733$ |
$125.2441777334293$ |
✓ |
✓ |
|
$C_{24}$ (as 24T1) |
$[3, 6, 18, 612]$ |
$2$ |
$11$ |
$20400053551.79016$ |
| 24.0.221...073.2 |
$x^{24} - x^{23} + 18 x^{22} - 22 x^{21} + 81 x^{20} - 1079 x^{19} + 1221 x^{18} + 5123 x^{17} + 29362 x^{16} - 66291 x^{15} - 97542 x^{14} - 520065 x^{13} + 1952874 x^{12} - 1252303 x^{11} + 12300149 x^{10} - 36700642 x^{9} + 6068680 x^{8} - 54124340 x^{7} + 187309511 x^{6} - 20709065 x^{5} + 769210633 x^{4} - 898459740 x^{3} + 991948431 x^{2} - 1194592532 x + 484203487$ |
$24$ |
[0,12] |
$13^{22}\cdot 17^{21}$ |
$2$ |
$125.244177733$ |
$125.2441777334293$ |
✓ |
✓ |
? |
$C_{24}$ (as 24T1) |
$[2, 2, 14116]$ |
$2$ |
$11$ |
$20400053551.79016$ |
| 24.24.419...272.1 |
$x^{24} - 168 x^{22} + 11844 x^{20} - 459648 x^{18} + 10835370 x^{16} - 161744688 x^{14} + 1548576792 x^{12} - 9433773216 x^{10} + 35556683400 x^{8} - 78854821920 x^{6} + 95273908128 x^{4} - 54442233216 x^{2} + 10207918728$ |
$24$ |
[24,0] |
$2^{93}\cdot 3^{12}\cdot 7^{20}$ |
$3$ |
$128.61754842$ |
$128.61754842025297$ |
|
✓ |
? |
$C_{24}$ (as 24T1) |
not computed |
$2$ |
$23$ |
|
| 24.0.419...272.1 |
$x^{24} + 168 x^{22} + 11844 x^{20} + 459648 x^{18} + 10835370 x^{16} + 161744688 x^{14} + 1548576792 x^{12} + 9433773216 x^{10} + 35556683400 x^{8} + 78854821920 x^{6} + 95273908128 x^{4} + 54442233216 x^{2} + 10207918728$ |
$24$ |
[0,12] |
$2^{93}\cdot 3^{12}\cdot 7^{20}$ |
$3$ |
$128.61754842$ |
$128.61754842025297$ |
✓ |
✓ |
? |
$C_{24}$ (as 24T1) |
not computed |
$2$ |
$11$ |
|
| 24.24.589...841.1 |
$x^{24} - x^{23} - 110 x^{22} + 77 x^{21} + 4952 x^{20} - 1821 x^{19} - 119135 x^{18} + 536 x^{17} + 1676454 x^{16} + 635675 x^{15} - 14117143 x^{14} - 10841299 x^{13} + 68958618 x^{12} + 79995192 x^{11} - 174618685 x^{10} - 282394963 x^{9} + 162034932 x^{8} + 432110280 x^{7} + 35041069 x^{6} - 255245949 x^{5} - 99840540 x^{4} + 32025510 x^{3} + 16409119 x^{2} - 1293067 x - 652259$ |
$24$ |
[24,0] |
$7^{20}\cdot 41^{21}$ |
$2$ |
$130.447043732$ |
$130.4470437316312$ |
|
✓ |
? |
$C_{24}$ (as 24T1) |
trivial |
$2$ |
$23$ |
$310155799064182340$ |
| 24.0.771...352.1 |
$x^{24} - 8 x^{23} + 47 x^{22} - 214 x^{21} + 956 x^{20} - 3268 x^{19} + 8913 x^{18} - 24730 x^{17} + 64416 x^{16} - 93292 x^{15} + 242761 x^{14} - 883492 x^{13} + 426718 x^{12} + 715344 x^{11} + 7877438 x^{10} - 1257480 x^{9} - 24939133 x^{8} - 68610260 x^{7} - 28182313 x^{6} + 203608140 x^{5} + 626540010 x^{4} + 912724280 x^{3} + 976659364 x^{2} + 457755938 x + 161501293$ |
$24$ |
[0,12] |
$2^{24}\cdot 13^{16}\cdot 17^{21}$ |
$3$ |
$131.917284674$ |
$131.91728467445571$ |
✓ |
✓ |
? |
$C_{24}$ (as 24T1) |
$[2, 530258]$ |
$2$ |
$11$ |
$2336441224.9148784$ |
| 24.24.852...297.1 |
$x^{24} - 5 x^{23} - 109 x^{22} + 414 x^{21} + 5469 x^{20} - 13112 x^{19} - 160371 x^{18} + 170477 x^{17} + 2897736 x^{16} + 189772 x^{15} - 31755107 x^{14} - 31766523 x^{13} + 194940086 x^{12} + 370716475 x^{11} - 513253877 x^{10} - 1808188459 x^{9} - 371523524 x^{8} + 3300112019 x^{7} + 3631771947 x^{6} + 101680474 x^{5} - 1772648953 x^{4} - 835277336 x^{3} + 26771975 x^{2} + 81314415 x + 12047969$ |
$24$ |
[24,0] |
$17^{21}\cdot 37^{16}$ |
$2$ |
$132.467891066$ |
$132.4678910655754$ |
|
✓ |
? |
$C_{24}$ (as 24T1) |
trivial |
$2$ |
$23$ |
$655137207724264700$ |
