Learn more

Refine search


Results (4 matches)

  displayed columns for results
Label Polynomial Discriminant Galois group Class group Regulator
31.31.606...801.1 $x^{31} - x^{30} - 150 x^{29} + 117 x^{28} + 9434 x^{27} - 4958 x^{26} - 328880 x^{25} + 78328 x^{24} + 7098810 x^{23} + 507925 x^{22} - 100297691 x^{21} - 39217806 x^{20} + 950942678 x^{19} + 677567200 x^{18} - 6056859921 x^{17} - 6293114670 x^{16} + 25303767350 x^{15} + 35315191500 x^{14} - 65145555320 x^{13} - 122001770825 x^{12} + 87706314807 x^{11} + 253609179978 x^{10} - 19776440614 x^{9} - 299693882286 x^{8} - 98200795275 x^{7} + 175359843704 x^{6} + 113820457794 x^{5} - 30260338943 x^{4} - 38729335872 x^{3} - 5811762482 x^{2} + 1056847214 x - 26458109$ $311^{30}$ $C_{31}$ (as 31T1) not computed
31.31.141...449.1 $x^{31} - x^{30} - 180 x^{29} + 381 x^{28} + 13354 x^{27} - 40454 x^{26} - 531040 x^{25} + 2069355 x^{24} + 12295300 x^{23} - 60883682 x^{22} - 164683595 x^{21} + 1114070344 x^{20} + 1058778882 x^{19} - 13103530537 x^{18} + 1853849258 x^{17} + 99224120479 x^{16} - 91885359548 x^{15} - 467511308511 x^{14} + 762650059488 x^{13} + 1229830733203 x^{12} - 3225889300699 x^{11} - 1095874556276 x^{10} + 7495923118841 x^{9} - 2504773526476 x^{8} - 8920808783994 x^{7} + 7437366186489 x^{6} + 3836259163454 x^{5} - 6642200925120 x^{4} + 1200673450587 x^{3} + 1711910811444 x^{2} - 967097412303 x + 151576217389$ $373^{30}$ $C_{31}$ (as 31T1) trivial $65100477933366770000000000000$
31.31.107...849.1 $x^{31} - x^{30} - 330 x^{29} + 852 x^{28} + 43784 x^{27} - 173944 x^{26} - 2923572 x^{25} + 15562316 x^{24} + 100635650 x^{23} - 707709554 x^{22} - 1616621784 x^{21} + 17266725972 x^{20} + 7046247776 x^{19} - 243865756432 x^{18} + 142454592564 x^{17} + 2084163747748 x^{16} - 2521472241195 x^{15} - 10836712986085 x^{14} + 18499228115810 x^{13} + 32698257976552 x^{12} - 74538290301632 x^{11} - 47884603550112 x^{10} + 168256221920320 x^{9} + 4878741111552 x^{8} - 195294436805376 x^{7} + 62882730299136 x^{6} + 92885896276480 x^{5} - 43440624908288 x^{4} - 15171034030080 x^{3} + 6823763935232 x^{2} + 786648006656 x + 5192548352$ $683^{30}$ $C_{31}$ (as 31T1) trivial $588096262939769340000000000000000000000000$
31.31.303...801.1 $x^{31} - 465 x^{29} - 341 x^{28} + 91078 x^{27} + 119908 x^{26} - 9914451 x^{25} - 18008892 x^{24} + 666449563 x^{23} + 1538774528 x^{22} - 28934386579 x^{21} - 83032233092 x^{20} + 817351924162 x^{19} + 2943382779538 x^{18} - 14471455469735 x^{17} - 68751097280499 x^{16} + 137645143880654 x^{15} + 1028543867187214 x^{14} - 144266178422457 x^{13} - 9110738641752719 x^{12} - 11199776062831713 x^{11} + 37846129267859005 x^{10} + 105950708850677777 x^{9} + 9682358886535270 x^{8} - 290542929220278846 x^{7} - 437492517497239584 x^{6} - 201727405103545942 x^{5} + 73256081844015542 x^{4} + 87563225965427030 x^{3} + 7669633084320922 x^{2} - 7522164033404415 x - 310695313260929$ $31^{60}$ $C_{31}$ (as 31T1) not computed
  displayed columns for results