| 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 |
| 32.32.313...448.1 |
$x^{32} - 32 x^{30} + 464 x^{28} - 4032 x^{26} + 23400 x^{24} - 95680 x^{22} + 283360 x^{20} - 615296 x^{18} + 980628 x^{16} - 1136960 x^{14} + 940576 x^{12} - 537472 x^{10} + 201552 x^{8} - 45696 x^{6} + 5440 x^{4} - 256 x^{2} + 2$ |
$32$ |
[32,0] |
$2^{191}$ |
$1$ |
$62.6286119736$ |
$62.628611973612806$ |
|
✓ |
✓ |
$C_{32}$ (as 32T33) |
trivial |
$2$ |
$31$ |
$7254970870890416000$ |
| 32.0.313...448.1 |
$x^{32} + 32 x^{30} + 464 x^{28} + 4032 x^{26} + 23400 x^{24} + 95680 x^{22} + 283360 x^{20} + 615296 x^{18} + 980628 x^{16} + 1136960 x^{14} + 940576 x^{12} + 537472 x^{10} + 201552 x^{8} + 45696 x^{6} + 5440 x^{4} + 256 x^{2} + 2$ |
$32$ |
[0,16] |
$2^{191}$ |
$1$ |
$62.6286119736$ |
$62.628611973612806$ |
✓ |
✓ |
✓ |
$C_{32}$ (as 32T33) |
$[21121]$ |
$2$ |
$15$ |
$211230625393.46567$ |
| 32.0.388...953.1 |
$x^{32} - x^{31} + 2 x^{30} + 60 x^{29} - 53 x^{28} + 99 x^{27} + 1385 x^{26} - 1071 x^{25} + 1854 x^{24} + 15802 x^{23} - 10509 x^{22} + 16583 x^{21} + 95912 x^{20} - 54402 x^{19} + 75534 x^{18} + 310800 x^{17} - 136853 x^{16} + 163941 x^{15} + 541045 x^{14} - 33297 x^{13} + 98317 x^{12} + 537573 x^{11} + 431212 x^{10} - 151090 x^{9} + 496535 x^{8} + 326343 x^{7} + 132437 x^{6} + 314657 x^{5} + 175914 x^{4} + 198989 x^{3} - 20144 x^{2} - 93555 x + 27583$ |
$32$ |
[0,16] |
$97^{31}$ |
$1$ |
$84.0785314595$ |
$84.07853145947577$ |
✓ |
✓ |
? |
$C_{32}$ (as 32T33) |
$[3457]$ |
$2$ |
$15$ |
$132045958705412.02$ |
| 32.0.135...008.1 |
$x^{32} + 96 x^{30} + 4176 x^{28} + 108864 x^{26} + 1895400 x^{24} + 23250240 x^{22} + 206569440 x^{20} + 1345652352 x^{18} + 6433900308 x^{16} + 22378783680 x^{14} + 55540072224 x^{12} + 95211552384 x^{10} + 107112996432 x^{8} + 72854183808 x^{6} + 26019351360 x^{4} + 3673320192 x^{2} + 86093442$ |
$32$ |
[0,16] |
$2^{191}\cdot 3^{16}$ |
$2$ |
$108.475937946$ |
$108.47593794581393$ |
✓ |
✓ |
? |
$C_{32}$ (as 32T33) |
not computed |
$2$ |
$15$ |
|
| 32.32.135...008.1 |
$x^{32} - 96 x^{30} + 4176 x^{28} - 108864 x^{26} + 1895400 x^{24} - 23250240 x^{22} + 206569440 x^{20} - 1345652352 x^{18} + 6433900308 x^{16} - 22378783680 x^{14} + 55540072224 x^{12} - 95211552384 x^{10} + 107112996432 x^{8} - 72854183808 x^{6} + 26019351360 x^{4} - 3673320192 x^{2} + 86093442$ |
$32$ |
[32,0] |
$2^{191}\cdot 3^{16}$ |
$2$ |
$108.475937946$ |
$108.47593794581393$ |
|
✓ |
? |
$C_{32}$ (as 32T33) |
not computed |
$2$ |
$31$ |
|
| 32.32.478...000.1 |
$x^{32} - 160 x^{30} + 11600 x^{28} - 504000 x^{26} + 14625000 x^{24} - 299000000 x^{22} + 4427500000 x^{20} - 48070000000 x^{18} + 383057812500 x^{16} - 2220625000000 x^{14} + 9185312500000 x^{12} - 26243750000000 x^{10} + 49207031250000 x^{8} - 55781250000000 x^{6} + 33203125000000 x^{4} - 7812500000000 x^{2} + 305175781250$ |
$32$ |
[32,0] |
$2^{191}\cdot 5^{16}$ |
$2$ |
$140.041833709$ |
$140.04183370945552$ |
|
✓ |
? |
$C_{32}$ (as 32T33) |
not computed |
$2$ |
$31$ |
|
| 32.0.478...000.1 |
$x^{32} + 160 x^{30} + 11600 x^{28} + 504000 x^{26} + 14625000 x^{24} + 299000000 x^{22} + 4427500000 x^{20} + 48070000000 x^{18} + 383057812500 x^{16} + 2220625000000 x^{14} + 9185312500000 x^{12} + 26243750000000 x^{10} + 49207031250000 x^{8} + 55781250000000 x^{6} + 33203125000000 x^{4} + 7812500000000 x^{2} + 305175781250$ |
$32$ |
[0,16] |
$2^{191}\cdot 5^{16}$ |
$2$ |
$140.041833709$ |
$140.04183370945552$ |
✓ |
✓ |
? |
$C_{32}$ (as 32T33) |
not computed |
$2$ |
$15$ |
|
| 32.32.167...113.1 |
$x^{32} - x^{31} - 95 x^{30} - 37 x^{29} + 3924 x^{28} + 6404 x^{27} - 86885 x^{26} - 247839 x^{25} + 1027629 x^{24} + 4686255 x^{23} - 4671359 x^{22} - 48952218 x^{21} - 29135620 x^{20} + 277610329 x^{19} + 503619218 x^{18} - 666000824 x^{17} - 2706325012 x^{16} - 835566428 x^{15} + 6403713290 x^{14} + 8233352408 x^{13} - 3964294981 x^{12} - 15570255798 x^{11} - 7847282396 x^{10} + 8342709494 x^{9} + 10369480703 x^{8} + 994686632 x^{7} - 3490824231 x^{6} - 1377789078 x^{5} + 354398962 x^{4} + 243218618 x^{3} - 2768445 x^{2} - 9898412 x + 705613$ |
$32$ |
[32,0] |
$3^{16}\cdot 97^{31}$ |
$2$ |
$145.628288314$ |
$145.62828831359025$ |
|
✓ |
? |
$C_{32}$ (as 32T33) |
trivial |
$2$ |
$31$ |
$3823661354055936000000000$ |
| 32.32.711...057.1 |
$x^{32} - x^{31} - 93 x^{30} + 210 x^{29} + 3538 x^{28} - 12479 x^{27} - 65768 x^{26} + 350581 x^{25} + 485064 x^{24} - 5339623 x^{23} + 2808135 x^{22} + 44434017 x^{21} - 84476060 x^{20} - 170361963 x^{19} + 681732194 x^{18} - 77972047 x^{17} - 2529499095 x^{16} + 3133974961 x^{15} + 3455889877 x^{14} - 10578598738 x^{13} + 3732760107 x^{12} + 12702259726 x^{11} - 15151938680 x^{10} - 638400055 x^{9} + 11610249674 x^{8} - 6566502528 x^{7} - 1290174274 x^{6} + 2262714296 x^{5} - 382096988 x^{4} - 214409519 x^{3} + 59339724 x^{2} + 2830728 x + 14969$ |
$32$ |
[32,0] |
$193^{31}$ |
$1$ |
$163.732028766$ |
$163.73202876647343$ |
|
✓ |
? |
$C_{32}$ (as 32T33) |
trivial |
$2$ |
$31$ |
$17081301615656049000000000$ |
| 32.0.104...248.1 |
$x^{32} + 224 x^{30} + 22736 x^{28} + 1382976 x^{26} + 56183400 x^{24} + 1608093760 x^{22} + 33337020640 x^{20} + 506722713728 x^{18} + 5653125275028 x^{16} + 45880437014720 x^{14} + 265689439803424 x^{12} + 1062757759213696 x^{10} + 2789739117935952 x^{8} + 4427440219558272 x^{6} + 3689533516298560 x^{4} + 1215375746545408 x^{2} + 66465861139202$ |
$32$ |
[0,16] |
$2^{191}\cdot 7^{16}$ |
$2$ |
$165.699732239$ |
$165.6997322393416$ |
✓ |
✓ |
? |
$C_{32}$ (as 32T33) |
not computed |
$2$ |
$15$ |
|
| 32.32.104...248.1 |
$x^{32} - 224 x^{30} + 22736 x^{28} - 1382976 x^{26} + 56183400 x^{24} - 1608093760 x^{22} + 33337020640 x^{20} - 506722713728 x^{18} + 5653125275028 x^{16} - 45880437014720 x^{14} + 265689439803424 x^{12} - 1062757759213696 x^{10} + 2789739117935952 x^{8} - 4427440219558272 x^{6} + 3689533516298560 x^{4} - 1215375746545408 x^{2} + 66465861139202$ |
$32$ |
[32,0] |
$2^{191}\cdot 7^{16}$ |
$2$ |
$165.699732239$ |
$165.6997322393416$ |
|
✓ |
? |
$C_{32}$ (as 32T33) |
not computed |
$2$ |
$31$ |
|
| 32.32.167...088.1 |
$x^{32} - 97 x^{30} + 3977 x^{28} - 90598 x^{26} + 1268954 x^{24} - 11436203 x^{22} + 67589988 x^{20} - 262762815 x^{18} + 665320090 x^{16} - 1069475149 x^{14} + 1039362469 x^{12} - 561198156 x^{10} + 148892090 x^{8} - 18792198 x^{6} + 1096973 x^{4} - 25026 x^{2} + 97$ |
$32$ |
[32,0] |
$2^{32}\cdot 97^{31}$ |
$2$ |
$168.157062919$ |
$168.15706291895154$ |
|
✓ |
? |
$C_{32}$ (as 32T33) |
not computed |
$2$ |
$31$ |
|
| 32.0.593...625.1 |
$x^{32} - x^{31} + 99 x^{30} + 157 x^{29} + 3924 x^{28} + 16492 x^{27} + 103817 x^{26} + 576079 x^{25} + 2396881 x^{24} + 11252767 x^{23} + 43066027 x^{22} + 154641664 x^{21} + 531776968 x^{20} + 1604710009 x^{19} + 4592804568 x^{18} + 12105474106 x^{17} + 28991395516 x^{16} + 65009104064 x^{15} + 133385029876 x^{14} + 251976154626 x^{13} + 441515729309 x^{12} + 705402557166 x^{11} + 1044251596422 x^{10} + 1417722437928 x^{9} + 1747465221173 x^{8} + 2010198542396 x^{7} + 2043970195671 x^{6} + 1742678971704 x^{5} + 1178198932512 x^{4} + 286794915794 x^{3} - 161102822545 x^{2} - 9076955370 x + 73651979561$ |
$32$ |
[0,16] |
$5^{16}\cdot 97^{31}$ |
$2$ |
$188.005311792$ |
$188.0053117917424$ |
✓ |
✓ |
? |
$C_{32}$ (as 32T33) |
not computed |
$2$ |
$15$ |
|
| 32.0.144...128.1 |
$x^{32} + 352 x^{30} + 56144 x^{28} + 5366592 x^{26} + 342599400 x^{24} + 15409359680 x^{22} + 501989524960 x^{20} + 11990378367616 x^{18} + 210206320757268 x^{16} + 2680892206759360 x^{14} + 24396119081510176 x^{12} + 153347034226635392 x^{10} + 632556516184870992 x^{8} + 1577549854129070976 x^{6} + 2065839094692831040 x^{4} + 1069375531370406656 x^{2} + 91899459727144322$ |
$32$ |
[0,16] |
$2^{191}\cdot 11^{16}$ |
$2$ |
$207.715607057$ |
$207.71560705723326$ |
✓ |
✓ |
? |
$C_{32}$ (as 32T33) |
not computed |
$2$ |
$15$ |
|
| 32.32.144...128.1 |
$x^{32} - 352 x^{30} + 56144 x^{28} - 5366592 x^{26} + 342599400 x^{24} - 15409359680 x^{22} + 501989524960 x^{20} - 11990378367616 x^{18} + 210206320757268 x^{16} - 2680892206759360 x^{14} + 24396119081510176 x^{12} - 153347034226635392 x^{10} + 632556516184870992 x^{8} - 1577549854129070976 x^{6} + 2065839094692831040 x^{4} - 1069375531370406656 x^{2} + 91899459727144322$ |
$32$ |
[32,0] |
$2^{191}\cdot 11^{16}$ |
$2$ |
$207.715607057$ |
$207.71560705723326$ |
|
✓ |
? |
$C_{32}$ (as 32T33) |
not computed |
$2$ |
$31$ |
|
| 32.32.187...000.1 |
$x^{32} - 160 x^{30} + 11600 x^{28} - 504000 x^{26} + 14625000 x^{24} - 299000000 x^{22} + 4427500000 x^{20} - 48070000000 x^{18} + 383057812500 x^{16} - 2220625000000 x^{14} + 9185312500000 x^{12} - 26243750000000 x^{10} + 49207031250000 x^{8} - 55781250000000 x^{6} + 33203125000000 x^{4} - 7812500000000 x^{2} + 581850781250$ |
$32$ |
[32,0] |
$2^{191}\cdot 5^{24}$ |
$2$ |
$209.411385357$ |
$209.41138535741914$ |
|
✓ |
? |
$C_{32}$ (as 32T33) |
$[2]$ |
$2$ |
$31$ |
$1035918496783043300000000000$ |
| 32.0.187...000.1 |
$x^{32} + 160 x^{30} + 11600 x^{28} + 504000 x^{26} + 14625000 x^{24} + 299000000 x^{22} + 4427500000 x^{20} + 48070000000 x^{18} + 383057812500 x^{16} + 2220625000000 x^{14} + 9185312500000 x^{12} + 26243750000000 x^{10} + 49207031250000 x^{8} + 55781250000000 x^{6} + 33203125000000 x^{4} + 7812500000000 x^{2} + 581850781250$ |
$32$ |
[0,16] |
$2^{191}\cdot 5^{24}$ |
$2$ |
$209.411385357$ |
$209.41138535741914$ |
✓ |
✓ |
? |
$C_{32}$ (as 32T33) |
not computed |
$2$ |
$15$ |
|
| 32.32.187...000.2 |
$x^{32} - 160 x^{30} + 11600 x^{28} - 504000 x^{26} + 14625000 x^{24} - 299000000 x^{22} + 4427500000 x^{20} - 48070000000 x^{18} + 383057812500 x^{16} - 2220625000000 x^{14} + 9185312500000 x^{12} - 26243750000000 x^{10} + 49207031250000 x^{8} - 55781250000000 x^{6} + 33203125000000 x^{4} - 7812500000000 x^{2} + 28500781250$ |
$32$ |
[32,0] |
$2^{191}\cdot 5^{24}$ |
$2$ |
$209.411385357$ |
$209.41138535741914$ |
|
✓ |
? |
$C_{32}$ (as 32T33) |
$[2]$ |
$2$ |
$31$ |
$901899884176709700000000000$ |
| 32.0.187...000.2 |
$x^{32} + 160 x^{30} + 11600 x^{28} + 504000 x^{26} + 14625000 x^{24} + 299000000 x^{22} + 4427500000 x^{20} + 48070000000 x^{18} + 383057812500 x^{16} + 2220625000000 x^{14} + 9185312500000 x^{12} + 26243750000000 x^{10} + 49207031250000 x^{8} + 55781250000000 x^{6} + 33203125000000 x^{4} + 7812500000000 x^{2} + 28500781250$ |
$32$ |
[0,16] |
$2^{191}\cdot 5^{24}$ |
$2$ |
$209.411385357$ |
$209.41138535741914$ |
✓ |
✓ |
? |
$C_{32}$ (as 32T33) |
not computed |
$2$ |
$15$ |
|
| 32.32.510...993.1 |
$x^{32} - x^{31} - 124 x^{30} + 103 x^{29} + 6488 x^{28} - 4425 x^{27} - 190140 x^{26} + 105347 x^{25} + 3488200 x^{24} - 1550069 x^{23} - 42347664 x^{22} + 14861939 x^{21} + 350544862 x^{20} - 95534899 x^{19} - 2009951528 x^{18} + 419256941 x^{17} + 8035225328 x^{16} - 1274400611 x^{15} - 22362241012 x^{14} + 2699160105 x^{13} + 42838349856 x^{12} - 3921224431 x^{11} - 55097215992 x^{10} + 3669187609 x^{9} + 45466050353 x^{8} - 1849486552 x^{7} - 22248890532 x^{6} + 209255344 x^{5} + 5620092128 x^{4} + 135294656 x^{3} - 560812992 x^{2} - 19804416 x + 14868736$ |
$32$ |
[32,0] |
$257^{31}$ |
$1$ |
$216.084051053$ |
$216.08405105349755$ |
|
✓ |
|
$C_{32}$ (as 32T33) |
$[3]$ |
$2$ |
$31$ |
$39222759909157020000000000000$ |
| 32.32.129...753.1 |
$x^{32} - x^{31} - 192 x^{30} - 134 x^{29} + 15855 x^{28} + 35407 x^{27} - 704581 x^{26} - 2636561 x^{25} + 17183464 x^{24} + 98480308 x^{23} - 188031041 x^{22} - 2067532985 x^{21} - 767939030 x^{20} + 24362757568 x^{19} + 47464737498 x^{18} - 139397040512 x^{17} - 559716324137 x^{16} + 51715582409 x^{15} + 2957237171335 x^{14} + 3668327522541 x^{13} - 5872939632229 x^{12} - 17489038973421 x^{11} - 5531030792826 x^{10} + 26831580182190 x^{9} + 33098017056437 x^{8} - 1991967071353 x^{7} - 29363649724089 x^{6} - 18650067236811 x^{5} + 1413749921964 x^{4} + 5776725400421 x^{3} + 2097291371636 x^{2} + 190504344411 x - 14559956239$ |
$32$ |
[32,0] |
$7^{16}\cdot 97^{31}$ |
$2$ |
$222.450884841$ |
$222.45088484129343$ |
|
✓ |
? |
$C_{32}$ (as 32T33) |
not computed |
$2$ |
$31$ |
|
| 32.0.208...768.1 |
$x^{32} + 416 x^{30} + 78416 x^{28} + 8858304 x^{26} + 668327400 x^{24} + 35525314240 x^{22} + 1367724598240 x^{20} + 38608911516032 x^{18} + 799928385472788 x^{16} + 12056891607126080 x^{14} + 129666388829365024 x^{12} + 963236031303854464 x^{10} + 4695775652606290512 x^{8} + 13840180870839593088 x^{6} + 21419327538204132160 x^{4} + 13103588611607233792 x^{2} + 1330833218366359682$ |
$32$ |
[0,16] |
$2^{191}\cdot 13^{16}$ |
$2$ |
$225.810671782$ |
$225.81067178199893$ |
✓ |
✓ |
? |
$C_{32}$ (as 32T33) |
not computed |
$2$ |
$15$ |
|
| 32.32.208...768.1 |
$x^{32} - 416 x^{30} + 78416 x^{28} - 8858304 x^{26} + 668327400 x^{24} - 35525314240 x^{22} + 1367724598240 x^{20} - 38608911516032 x^{18} + 799928385472788 x^{16} - 12056891607126080 x^{14} + 129666388829365024 x^{12} - 963236031303854464 x^{10} + 4695775652606290512 x^{8} - 13840180870839593088 x^{6} + 21419327538204132160 x^{4} - 13103588611607233792 x^{2} + 1330833218366359682$ |
$32$ |
[32,0] |
$2^{191}\cdot 13^{16}$ |
$2$ |
$225.810671782$ |
$225.81067178199893$ |
|
✓ |
? |
$C_{32}$ (as 32T33) |
not computed |
$2$ |
$31$ |
|
| 32.32.109...168.1 |
$x^{32} - 194 x^{30} + 15908 x^{28} - 724784 x^{26} + 20303264 x^{24} - 365958496 x^{22} + 4325759232 x^{20} - 33633640320 x^{18} + 170321943040 x^{16} - 547571276288 x^{14} + 1064307168256 x^{12} - 1149333823488 x^{10} + 609862000640 x^{8} - 153945686016 x^{6} + 17972805632 x^{4} - 820051968 x^{2} + 6356992$ |
$32$ |
[32,0] |
$2^{48}\cdot 97^{31}$ |
$2$ |
$237.809998989$ |
$237.8099989888071$ |
|
✓ |
? |
$C_{32}$ (as 32T33) |
not computed |
$2$ |
$31$ |
|
| 32.0.109...168.1 |
$x^{32} + 194 x^{30} + 15908 x^{28} + 724784 x^{26} + 20303264 x^{24} + 365958496 x^{22} + 4325759232 x^{20} + 33633640320 x^{18} + 170321943040 x^{16} + 547571276288 x^{14} + 1064307168256 x^{12} + 1149333823488 x^{10} + 609862000640 x^{8} + 153945686016 x^{6} + 17972805632 x^{4} + 820051968 x^{2} + 6356992$ |
$32$ |
[0,16] |
$2^{48}\cdot 97^{31}$ |
$2$ |
$237.809998989$ |
$237.8099989888071$ |
✓ |
✓ |
? |
$C_{32}$ (as 32T33) |
not computed |
$2$ |
$15$ |
|
| 32.32.206...000.1 |
$x^{32} - 480 x^{30} + 104400 x^{28} - 13608000 x^{26} + 1184625000 x^{24} - 72657000000 x^{22} + 3227647500000 x^{20} - 105129090000000 x^{18} + 2513242307812500 x^{16} - 43708561875000000 x^{14} + 542383517812500000 x^{12} - 4649001581250000000 x^{10} + 26150633894531250000 x^{8} - 88933329843750000000 x^{6} + 158809517578125000000 x^{4} - 112100835937500000000 x^{2} + 13136816711425781250$ |
$32$ |
[32,0] |
$2^{191}\cdot 3^{16}\cdot 5^{16}$ |
$3$ |
$242.55957117$ |
$242.55957116988884$ |
|
✓ |
? |
$C_{32}$ (as 32T33) |
not computed |
$2$ |
$31$ |
|
| 32.0.206...000.1 |
$x^{32} + 480 x^{30} + 104400 x^{28} + 13608000 x^{26} + 1184625000 x^{24} + 72657000000 x^{22} + 3227647500000 x^{20} + 105129090000000 x^{18} + 2513242307812500 x^{16} + 43708561875000000 x^{14} + 542383517812500000 x^{12} + 4649001581250000000 x^{10} + 26150633894531250000 x^{8} + 88933329843750000000 x^{6} + 158809517578125000000 x^{4} + 112100835937500000000 x^{2} + 13136816711425781250$ |
$32$ |
[0,16] |
$2^{191}\cdot 3^{16}\cdot 5^{16}$ |
$3$ |
$242.55957117$ |
$242.55957116988884$ |
✓ |
✓ |
? |
$C_{32}$ (as 32T33) |
not computed |
$2$ |
$15$ |
|
| 32.32.152...488.1 |
$x^{32} - 544 x^{30} + 134096 x^{28} - 19809216 x^{26} + 1954391400 x^{24} - 135851917760 x^{22} + 6839621551840 x^{20} - 252479744142208 x^{18} + 6840623067852948 x^{16} - 134829672062029120 x^{14} + 1896195478908718624 x^{12} - 18420184652256123776 x^{10} + 117428677158132789072 x^{8} - 452599597791669697152 x^{6} + 915975376483141053760 x^{4} - 732780301186512843008 x^{2} + 97322383751333736962$ |
$32$ |
[32,0] |
$2^{191}\cdot 17^{16}$ |
$2$ |
$258.224382353$ |
$258.22438235302855$ |
|
✓ |
? |
$C_{32}$ (as 32T33) |
not computed |
$2$ |
$31$ |
|
| 32.0.152...488.1 |
$x^{32} + 544 x^{30} + 134096 x^{28} + 19809216 x^{26} + 1954391400 x^{24} + 135851917760 x^{22} + 6839621551840 x^{20} + 252479744142208 x^{18} + 6840623067852948 x^{16} + 134829672062029120 x^{14} + 1896195478908718624 x^{12} + 18420184652256123776 x^{10} + 117428677158132789072 x^{8} + 452599597791669697152 x^{6} + 915975376483141053760 x^{4} + 732780301186512843008 x^{2} + 97322383751333736962$ |
$32$ |
[0,16] |
$2^{191}\cdot 17^{16}$ |
$2$ |
$258.224382353$ |
$258.22438235302855$ |
✓ |
✓ |
? |
$C_{32}$ (as 32T33) |
not computed |
$2$ |
$15$ |
|
| 32.32.905...088.1 |
$x^{32} - 608 x^{30} + 167504 x^{28} - 27655488 x^{26} + 3049511400 x^{24} - 236913152320 x^{22} + 13330920840160 x^{20} - 549995705519744 x^{18} + 16654557457769748 x^{16} - 366883004866811840 x^{14} + 5766733776497433376 x^{12} - 62610252430543562368 x^{10} + 446098048567622881872 x^{8} - 1921653132291298568064 x^{6} + 4346596370658889618240 x^{4} - 3886368519647948364544 x^{2} + 576882827135242335362$ |
$32$ |
[32,0] |
$2^{191}\cdot 19^{16}$ |
$2$ |
$272.991790567$ |
$272.99179056719964$ |
|
✓ |
? |
$C_{32}$ (as 32T33) |
not computed |
$2$ |
$31$ |
|
| 32.0.905...088.1 |
$x^{32} + 608 x^{30} + 167504 x^{28} + 27655488 x^{26} + 3049511400 x^{24} + 236913152320 x^{22} + 13330920840160 x^{20} + 549995705519744 x^{18} + 16654557457769748 x^{16} + 366883004866811840 x^{14} + 5766733776497433376 x^{12} + 62610252430543562368 x^{10} + 446098048567622881872 x^{8} + 1921653132291298568064 x^{6} + 4346596370658889618240 x^{4} + 3886368519647948364544 x^{2} + 576882827135242335362$ |
$32$ |
[0,16] |
$2^{191}\cdot 19^{16}$ |
$2$ |
$272.991790567$ |
$272.99179056719964$ |
✓ |
✓ |
? |
$C_{32}$ (as 32T33) |
not computed |
$2$ |
$15$ |
|
| 32.32.231...625.1 |
$x^{32} - x^{31} - 192 x^{30} + 254 x^{29} + 15176 x^{28} - 22502 x^{27} - 659185 x^{26} + 1028778 x^{25} + 17622874 x^{24} - 28355437 x^{23} - 306303044 x^{22} + 508700394 x^{21} + 3552738857 x^{20} - 6168097580 x^{19} - 27704655126 x^{18} + 51265014015 x^{17} + 143975452663 x^{16} - 291596165966 x^{15} - 484526195470 x^{14} + 1120910038107 x^{13} + 989059812617 x^{12} - 2853145220348 x^{11} - 1010392771187 x^{10} + 4674809722638 x^{9} - 46102330825 x^{8} - 4692807095098 x^{7} + 1274517894230 x^{6} + 2597013247154 x^{5} - 1244875523883 x^{4} - 588593534703 x^{3} + 420651733214 x^{2} - 11758954445 x - 18277845959$ |
$32$ |
[32,0] |
$5^{24}\cdot 97^{31}$ |
$2$ |
$281.133513851$ |
$281.1335138508976$ |
|
✓ |
? |
$C_{32}$ (as 32T33) |
$[2]$ |
$2$ |
$31$ |
$108860537045226350000000000000$ |
| 32.32.231...625.2 |
$x^{32} - x^{31} - 192 x^{30} + 254 x^{29} + 15176 x^{28} - 22502 x^{27} - 659185 x^{26} + 1014228 x^{25} + 17695139 x^{24} - 27276312 x^{23} - 311391664 x^{22} + 475350824 x^{21} + 3700993657 x^{20} - 5615084090 x^{19} - 30036394961 x^{18} + 45970229245 x^{17} + 165619980768 x^{16} - 262233944896 x^{15} - 606028450275 x^{14} + 1031625598042 x^{13} + 1394173531832 x^{12} - 2722189078308 x^{11} - 1767203506112 x^{10} + 4578752971493 x^{9} + 675907939625 x^{8} - 4492953890543 x^{7} + 922086899405 x^{6} + 2162678325954 x^{5} - 1005718811728 x^{4} - 309785246453 x^{3} + 244081450784 x^{2} - 15465730875 x - 7522269649$ |
$32$ |
[32,0] |
$5^{24}\cdot 97^{31}$ |
$2$ |
$281.133513851$ |
$281.1335138508976$ |
|
✓ |
? |
$C_{32}$ (as 32T33) |
not computed |
$2$ |
$31$ |
|
| 32.0.306...097.1 |
$x^{32} - x^{31} + 100 x^{30} - 369 x^{29} + 4310 x^{28} - 25796 x^{27} + 146725 x^{26} - 871109 x^{25} + 4491744 x^{24} - 22080636 x^{23} + 104962263 x^{22} - 459438417 x^{21} + 1855235314 x^{20} - 6919013614 x^{19} + 23969357883 x^{18} - 77412047603 x^{17} + 232272715410 x^{16} - 647554500300 x^{15} + 1688255459920 x^{14} - 4173402576653 x^{13} + 9985317638552 x^{12} - 23194926103486 x^{11} + 50683905711002 x^{10} - 99818909359402 x^{9} + 174984915122456 x^{8} - 284753440308162 x^{7} + 455392827342446 x^{6} - 694285600401985 x^{5} + 894386134923647 x^{4} - 862139564170835 x^{3} + 562130389554400 x^{2} - 218583702854457 x + 38241539870119$ |
$32$ |
[0,16] |
$3^{16}\cdot 193^{31}$ |
$2$ |
$283.59219265$ |
$283.5921926498609$ |
✓ |
✓ |
? |
$C_{32}$ (as 32T33) |
not computed |
$2$ |
$15$ |
|
| 32.32.448...808.1 |
$x^{32} - 672 x^{30} + 204624 x^{28} - 37340352 x^{26} + 4550855400 x^{24} - 390766783680 x^{22} + 24302688046560 x^{20} - 1108202574923136 x^{18} + 37090154929458708 x^{16} - 903064641760733760 x^{14} + 15688695730952383776 x^{12} - 188264348771428605312 x^{10} + 1482581746575000266832 x^{8} - 7058769773166802889856 x^{6} + 17646924432917007224640 x^{4} - 17439313557235630669056 x^{2} + 2861137380483970656642$ |
$32$ |
[32,0] |
$2^{191}\cdot 3^{16}\cdot 7^{16}$ |
$3$ |
$287.000355039$ |
$287.00035503909834$ |
|
✓ |
? |
$C_{32}$ (as 32T33) |
not computed |
$2$ |
$31$ |
|
| 32.0.448...808.1 |
$x^{32} + 672 x^{30} + 204624 x^{28} + 37340352 x^{26} + 4550855400 x^{24} + 390766783680 x^{22} + 24302688046560 x^{20} + 1108202574923136 x^{18} + 37090154929458708 x^{16} + 903064641760733760 x^{14} + 15688695730952383776 x^{12} + 188264348771428605312 x^{10} + 1482581746575000266832 x^{8} + 7058769773166802889856 x^{6} + 17646924432917007224640 x^{4} + 17439313557235630669056 x^{2} + 2861137380483970656642$ |
$32$ |
[0,16] |
$2^{191}\cdot 3^{16}\cdot 7^{16}$ |
$3$ |
$287.000355039$ |
$287.00035503909834$ |
✓ |
✓ |
? |
$C_{32}$ (as 32T33) |
not computed |
$2$ |
$15$ |
|
| 32.0.957...097.1 |
$x^{32} - x^{31} + 6 x^{30} - 46 x^{29} + 391 x^{28} + 717 x^{27} + 7428 x^{26} + 20280 x^{25} + 45840 x^{24} - 961862 x^{23} - 2081212 x^{22} - 1399032 x^{21} + 24756306 x^{20} + 107460240 x^{19} + 836109803 x^{18} + 1524157119 x^{17} - 267790372 x^{16} - 7012926215 x^{15} + 38560539181 x^{14} + 50727599993 x^{13} - 210387899697 x^{12} - 610442701949 x^{11} + 1209773620966 x^{10} + 3197253545113 x^{9} - 6473190002488 x^{8} - 7464078960084 x^{7} + 35665340406463 x^{6} - 53074991558346 x^{5} + 46767096306383 x^{4} - 24811228492420 x^{3} + 7674195186138 x^{2} - 1554391051686 x + 272803795483$ |
$32$ |
[0,16] |
$353^{31}$ |
$1$ |
$293.871010173$ |
$293.8710101725786$ |
✓ |
✓ |
? |
$C_{32}$ (as 32T33) |
not computed |
$2$ |
$15$ |
|
| 32.0.192...528.1 |
$x^{32} + 736 x^{30} + 245456 x^{28} + 49057344 x^{26} + 6548279400 x^{24} + 615829298240 x^{22} + 41947449507040 x^{20} + 2094975478237312 x^{18} + 76793944874136468 x^{16} + 2047838529976972480 x^{14} + 38964782211289121824 x^{12} + 512108566205514172544 x^{10} + 4416936383522559738192 x^{8} + 23032445595048813533568 x^{6} + 63065029605490798960960 x^{4} + 68258620278884158875392 x^{2} + 12265220831361997297922$ |
$32$ |
[0,16] |
$2^{191}\cdot 23^{16}$ |
$2$ |
$300.356271564$ |
$300.3562715643727$ |
✓ |
✓ |
? |
$C_{32}$ (as 32T33) |
not computed |
$2$ |
$15$ |
|
| 32.32.192...528.1 |
$x^{32} - 736 x^{30} + 245456 x^{28} - 49057344 x^{26} + 6548279400 x^{24} - 615829298240 x^{22} + 41947449507040 x^{20} - 2094975478237312 x^{18} + 76793944874136468 x^{16} - 2047838529976972480 x^{14} + 38964782211289121824 x^{12} - 512108566205514172544 x^{10} + 4416936383522559738192 x^{8} - 23032445595048813533568 x^{6} + 63065029605490798960960 x^{4} - 68258620278884158875392 x^{2} + 12265220831361997297922$ |
$32$ |
[32,0] |
$2^{191}\cdot 23^{16}$ |
$2$ |
$300.356271564$ |
$300.3562715643727$ |
|
✓ |
? |
$C_{32}$ (as 32T33) |
not computed |
$2$ |
$31$ |
|
| 32.0.305...872.1 |
$x^{32} + 193 x^{30} + 15440 x^{28} + 671061 x^{26} + 17579019 x^{24} + 293049077 x^{22} + 3201313195 x^{20} + 23224085650 x^{18} + 112150227566 x^{16} + 358606414532 x^{14} + 750483998897 x^{12} + 1008442843815 x^{10} + 844182228126 x^{8} + 419409562413 x^{6} + 114648303766 x^{4} + 15477116409 x^{2} + 780515353$ |
$32$ |
[0,16] |
$2^{32}\cdot 193^{31}$ |
$2$ |
$327.464057533$ |
$327.46405753294687$ |
✓ |
✓ |
? |
$C_{32}$ (as 32T33) |
not computed |
$2$ |
$15$ |
|
| 32.32.785...408.1 |
$x^{32} - 928 x^{30} + 390224 x^{28} - 98336448 x^{26} + 16550375400 x^{24} - 1962506736320 x^{22} + 168549136238560 x^{20} - 10613779893422464 x^{18} + 490555639449119508 x^{16} - 16494044688724018240 x^{14} + 395707126668569855776 x^{12} - 6557432384793443324288 x^{10} + 71312077184628696151632 x^{8} - 468869689667356285628544 x^{6} + 1618716785756349081336640 x^{4} - 2209072319385135216882944 x^{2} + 500492947360694697575042$ |
$32$ |
[32,0] |
$2^{191}\cdot 29^{16}$ |
$2$ |
$337.26539712$ |
$337.2653971199823$ |
|
✓ |
? |
$C_{32}$ (as 32T33) |
not computed |
$2$ |
$31$ |
|
| 32.0.785...408.1 |
$x^{32} + 928 x^{30} + 390224 x^{28} + 98336448 x^{26} + 16550375400 x^{24} + 1962506736320 x^{22} + 168549136238560 x^{20} + 10613779893422464 x^{18} + 490555639449119508 x^{16} + 16494044688724018240 x^{14} + 395707126668569855776 x^{12} + 6557432384793443324288 x^{10} + 71312077184628696151632 x^{8} + 468869689667356285628544 x^{6} + 1618716785756349081336640 x^{4} + 2209072319385135216882944 x^{2} + 500492947360694697575042$ |
$32$ |
[0,16] |
$2^{191}\cdot 29^{16}$ |
$2$ |
$337.26539712$ |
$337.2653971199823$ |
✓ |
✓ |
? |
$C_{32}$ (as 32T33) |
not computed |
$2$ |
$15$ |
|
| 32.32.228...488.1 |
$x^{32} - 992 x^{30} + 445904 x^{28} - 120117312 x^{26} + 21610391400 x^{24} - 2739237167680 x^{22} + 251483043048160 x^{20} - 16928401412041856 x^{18} + 836368832263692948 x^{16} - 30060792811796500160 x^{14} + 770922695655253881376 x^{12} - 13656344894464497327232 x^{10} + 158755009398149781429072 x^{8} - 1115784195608048666238336 x^{6} + 4117775007601131982546240 x^{4} - 6007107069912239598067456 x^{2} + 1454846243494370527656962$ |
$32$ |
[32,0] |
$2^{191}\cdot 31^{16}$ |
$2$ |
$348.70135384$ |
$348.701353840191$ |
|
✓ |
? |
$C_{32}$ (as 32T33) |
not computed |
$2$ |
$31$ |
|
| 32.0.228...488.1 |
$x^{32} + 992 x^{30} + 445904 x^{28} + 120117312 x^{26} + 21610391400 x^{24} + 2739237167680 x^{22} + 251483043048160 x^{20} + 16928401412041856 x^{18} + 836368832263692948 x^{16} + 30060792811796500160 x^{14} + 770922695655253881376 x^{12} + 13656344894464497327232 x^{10} + 158755009398149781429072 x^{8} + 1115784195608048666238336 x^{6} + 4117775007601131982546240 x^{4} + 6007107069912239598067456 x^{2} + 1454846243494370527656962$ |
$32$ |
[0,16] |
$2^{191}\cdot 31^{16}$ |
$2$ |
$348.70135384$ |
$348.701353840191$ |
✓ |
✓ |
? |
$C_{32}$ (as 32T33) |
not computed |
$2$ |
$15$ |
|
| 32.32.620...288.1 |
$x^{32} - 1056 x^{30} + 505296 x^{28} - 144897984 x^{26} + 27750551400 x^{24} - 3744474402240 x^{22} + 365950363695840 x^{20} - 26222957489976192 x^{18} + 1379163670488435348 x^{16} - 52768001305644482880 x^{14} + 1440566435644094382624 x^{12} - 27164967072145779786624 x^{10} + 336166467517804024859472 x^{8} - 2515124016084622825669248 x^{6} + 9880844348903875386557760 x^{4} - 15344370047709547659124992 x^{2} + 3955970402925117755868162$ |
$32$ |
[32,0] |
$2^{191}\cdot 3^{16}\cdot 11^{16}$ |
$3$ |
$359.773984948$ |
$359.7739849481405$ |
|
✓ |
? |
$C_{32}$ (as 32T33) |
not computed |
$2$ |
$31$ |
|
| 32.0.620...288.1 |
$x^{32} + 1056 x^{30} + 505296 x^{28} + 144897984 x^{26} + 27750551400 x^{24} + 3744474402240 x^{22} + 365950363695840 x^{20} + 26222957489976192 x^{18} + 1379163670488435348 x^{16} + 52768001305644482880 x^{14} + 1440566435644094382624 x^{12} + 27164967072145779786624 x^{10} + 336166467517804024859472 x^{8} + 2515124016084622825669248 x^{6} + 9880844348903875386557760 x^{4} + 15344370047709547659124992 x^{2} + 3955970402925117755868162$ |
$32$ |
[0,16] |
$2^{191}\cdot 3^{16}\cdot 11^{16}$ |
$3$ |
$359.773984948$ |
$359.7739849481405$ |
✓ |
✓ |
? |
$C_{32}$ (as 32T33) |
not computed |
$2$ |
$15$ |
|
| 32.32.805...000.1 |
$x^{32} - 480 x^{30} + 104400 x^{28} - 13608000 x^{26} + 1184625000 x^{24} - 72657000000 x^{22} + 3227647500000 x^{20} - 105129090000000 x^{18} + 2513242307812500 x^{16} - 43708561875000000 x^{14} + 542383517812500000 x^{12} - 4649001581250000000 x^{10} + 26150633894531250000 x^{8} - 88933329843750000000 x^{6} + 158809517578125000000 x^{4} - 112100835937500000000 x^{2} + 1226865178750781250$ |
$32$ |
[32,0] |
$2^{191}\cdot 3^{16}\cdot 5^{24}$ |
$3$ |
$362.711159122$ |
$362.71115912243516$ |
|
✓ |
? |
$C_{32}$ (as 32T33) |
not computed |
$2$ |
$31$ |
|
| 32.0.805...000.1 |
$x^{32} + 480 x^{30} + 104400 x^{28} + 13608000 x^{26} + 1184625000 x^{24} + 72657000000 x^{22} + 3227647500000 x^{20} + 105129090000000 x^{18} + 2513242307812500 x^{16} + 43708561875000000 x^{14} + 542383517812500000 x^{12} + 4649001581250000000 x^{10} + 26150633894531250000 x^{8} + 88933329843750000000 x^{6} + 158809517578125000000 x^{4} + 112100835937500000000 x^{2} + 1226865178750781250$ |
$32$ |
[0,16] |
$2^{191}\cdot 3^{16}\cdot 5^{24}$ |
$3$ |
$362.711159122$ |
$362.71115912243516$ |
✓ |
✓ |
? |
$C_{32}$ (as 32T33) |
not computed |
$2$ |
$15$ |
|
| 32.0.805...000.2 |
$x^{32} + 480 x^{30} + 104400 x^{28} + 13608000 x^{26} + 1184625000 x^{24} + 72657000000 x^{22} + 3227647500000 x^{20} + 105129090000000 x^{18} + 2513242307812500 x^{16} + 43708561875000000 x^{14} + 542383517812500000 x^{12} + 4649001581250000000 x^{10} + 26150633894531250000 x^{8} + 88933329843750000000 x^{6} + 158809517578125000000 x^{4} + 112100835937500000000 x^{2} + 25046768244100781250$ |
$32$ |
[0,16] |
$2^{191}\cdot 3^{16}\cdot 5^{24}$ |
$3$ |
$362.711159122$ |
$362.71115912243516$ |
✓ |
✓ |
? |
$C_{32}$ (as 32T33) |
not computed |
$2$ |
$15$ |
|
| 32.32.805...000.2 |
$x^{32} - 480 x^{30} + 104400 x^{28} - 13608000 x^{26} + 1184625000 x^{24} - 72657000000 x^{22} + 3227647500000 x^{20} - 105129090000000 x^{18} + 2513242307812500 x^{16} - 43708561875000000 x^{14} + 542383517812500000 x^{12} - 4649001581250000000 x^{10} + 26150633894531250000 x^{8} - 88933329843750000000 x^{6} + 158809517578125000000 x^{4} - 112100835937500000000 x^{2} + 25046768244100781250$ |
$32$ |
[32,0] |
$2^{191}\cdot 3^{16}\cdot 5^{24}$ |
$3$ |
$362.711159122$ |
$362.71115912243516$ |
|
✓ |
? |
$C_{32}$ (as 32T33) |
not computed |
$2$ |
$31$ |
|
