| 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 |
| 35.1.109...339.1 |
$x^{35} - x - 1$ |
$35$ |
[1,17] |
$-\,19\cdot 43350623\cdot 10394177419177\cdot 12\!\cdots\!11$ |
$4$ |
$34.9892808332$ |
$1.0443901859213251e+27$ |
|
|
✓ |
$S_{35}$ (as 35T407) |
trivial |
$2$ |
$17$ |
$8151690409523.094$ |
| 35.1.403...123.1 |
$x^{35} + 2 x - 1$ |
$35$ |
[1,17] |
$-\,256048319\cdot 15\!\cdots\!17$ |
$2$ |
$61.4826208706$ |
$2.009863273902041e+31$ |
|
|
✓ |
$S_{35}$ (as 35T407) |
trivial |
$2$ |
$17$ |
$363349966210764900$ |
| 35.35.876...281.1 |
$x^{35} - x^{34} - 34 x^{33} + 33 x^{32} + 528 x^{31} - 496 x^{30} - 4960 x^{29} + 4495 x^{28} + 31465 x^{27} - 27405 x^{26} - 142506 x^{25} + 118755 x^{24} + 475020 x^{23} - 376740 x^{22} - 1184040 x^{21} + 888030 x^{20} + 2220075 x^{19} - 1562275 x^{18} - 3124550 x^{17} + 2042975 x^{16} + 3268760 x^{15} - 1961256 x^{14} - 2496144 x^{13} + 1352078 x^{12} + 1352078 x^{11} - 646646 x^{10} - 497420 x^{9} + 203490 x^{8} + 116280 x^{7} - 38760 x^{6} - 15504 x^{5} + 3876 x^{4} + 969 x^{3} - 153 x^{2} - 18 x + 1$ |
$35$ |
[35,0] |
$71^{34}$ |
$1$ |
$62.8586794536$ |
$62.858679453640086$ |
|
✓ |
✓ |
$C_{35}$ (as 35T1) |
trivial |
$2$ |
$34$ |
$190122458612916620000$ |
| 35.1.219...944.1 |
$x^{35} + 4 x - 4$ |
$35$ |
[1,17] |
$-\,2^{34}\cdot 3\cdot 227\cdot 499\cdot 1637\cdot 252983\cdot 13122193474139\cdot 69164815108090306157070281$ |
$8$ |
$64.5284755537$ |
$7.007591946101137e+26$ |
|
|
? |
$S_{35}$ (as 35T407) |
not computed |
$2$ |
$17$ |
|
| 35.1.181...504.1 |
$x^{35} - 4 x - 4$ |
$35$ |
[1,17] |
$-\,2^{34}\cdot 2393\cdot 3027347\cdot 3480929\cdot 23465153\cdot 86816318477729\cdot 20545919111781857$ |
$7$ |
$68.5419242757$ |
$2.014440002426347e+27$ |
|
|
? |
$S_{35}$ (as 35T407) |
trivial |
$2$ |
$17$ |
$2024409859615809000$ |
| 35.1.185...752.1 |
$x^{35} - 2 x - 2$ |
$35$ |
[1,17] |
$-\,2^{34}\cdot 3\cdot 101\cdot 181\cdot 20265277861\cdot 97\!\cdots\!61$ |
$6$ |
$68.5850855824$ |
$2.036754563613515e+27$ |
|
|
✓ |
$S_{35}$ (as 35T407) |
trivial |
$2$ |
$17$ |
$2711307912253756400$ |
| 35.1.189...464.1 |
$x^{35} - x - 2$ |
$35$ |
[1,17] |
$-\,2^{35}\cdot 23\cdot 29\cdot 5408561\cdot 3295715551039421859593\cdot 46365427582714972609103$ |
$6$ |
$68.6273426958$ |
|
|
|
✓ |
$S_{35}$ (as 35T407) |
trivial |
$2$ |
$17$ |
$3872969546476688000$ |
| 35.1.189...671.1 |
$x^{35} - x - 4$ |
$35$ |
[1,17] |
$-\,21529\cdot 108949\cdot 6512477\cdot 1233879787294159\cdot 10\!\cdots\!57$ |
$5$ |
$68.6273426958$ |
$1.3762606807317878e+32$ |
|
|
? |
$S_{35}$ (as 35T407) |
trivial |
$2$ |
$17$ |
$2369144174730249700$ |
| 35.1.189...000.1 |
$x^{35} - 2$ |
$35$ |
[1,17] |
$-\,2^{34}\cdot 5^{35}\cdot 7^{35}$ |
$3$ |
$68.6273426958$ |
$110.14114656853519$ |
|
|
✓ |
$F_5\times F_7$ (as 35T20) |
not computed |
$2$ |
$17$ |
|
| 35.1.193...248.1 |
$x^{35} + 2 x - 2$ |
$35$ |
[1,17] |
$-\,2^{34}\cdot 11\!\cdots\!47$ |
$2$ |
$68.668733247$ |
$2.0806658574721983e+27$ |
|
|
✓ |
$S_{35}$ (as 35T407) |
not computed |
$2$ |
$17$ |
|
| 35.3.588...077.1 |
$x^{35} - 3 x - 1$ |
$35$ |
[3,16] |
$263\cdot 22\!\cdots\!79$ |
$2$ |
$92.2239312988$ |
$2.4252892809036273e+34$ |
|
|
✓ |
$S_{35}$ (as 35T407) |
not computed |
$2$ |
$18$ |
|
| 35.1.588...827.1 |
$x^{35} + 3 x - 1$ |
$35$ |
[1,17] |
$-\,11\cdot 98621\cdot 1256737\cdot 43\!\cdots\!41$ |
$4$ |
$92.2239312988$ |
$2.425289280903632e+34$ |
|
|
✓ |
$S_{35}$ (as 35T407) |
not computed |
$2$ |
$17$ |
|
| 35.1.588...952.1 |
$x^{35} + 3 x - 2$ |
$35$ |
[1,17] |
$-\,2^{35}\cdot 67\cdot 997\cdot 10501\cdot 21885937\cdot 61024809499\cdot 18\!\cdots\!47$ |
$7$ |
$92.2240161471$ |
|
|
|
✓ |
$S_{35}$ (as 35T407) |
not computed |
$2$ |
$17$ |
|
| 35.1.165...904.1 |
$x^{35} + 4 x - 2$ |
$35$ |
[1,17] |
$-\,2^{34}\cdot 3\cdot 291647\cdot 188120963917\cdot 64268062741853\cdot 129806582432617\cdot 699615044068223$ |
$7$ |
$101.441758241$ |
$1.9218197523009752e+30$ |
|
|
? |
$S_{35}$ (as 35T407) |
not computed |
$2$ |
$17$ |
|
| 35.1.177...923.1 |
$x^{35} - 3 x - 3$ |
$35$ |
[1,17] |
$-\,3^{34}\cdot 953\cdot 6256153603608033049\cdot 17\!\cdots\!11$ |
$4$ |
$101.660870002$ |
$3.0034456271218435e+27$ |
|
|
✓ |
$S_{35}$ (as 35T407) |
not computed |
$2$ |
$17$ |
|
| 35.1.183...339.1 |
$x^{35} - x - 3$ |
$35$ |
[1,17] |
$-\,31\cdot 59\!\cdots\!69$ |
$2$ |
$101.755352527$ |
$1.3559763232436678e+35$ |
|
|
✓ |
$S_{35}$ (as 35T407) |
not computed |
$2$ |
$17$ |
|
| 35.1.183...875.1 |
$x^{35} - 3$ |
$35$ |
[1,17] |
$-\,3^{34}\cdot 5^{35}\cdot 7^{35}$ |
$3$ |
$101.755352527$ |
$163.30883226030593$ |
|
|
✓ |
$F_5\times F_7$ (as 35T20) |
not computed |
$2$ |
$17$ |
|
| 35.1.189...827.1 |
$x^{35} + 3 x - 3$ |
$35$ |
[1,17] |
$-\,3^{34}\cdot 13\cdot 241667\cdot 21805563631\cdot 7788124267751\cdot 2132536222168538736270533$ |
$6$ |
$101.846943286$ |
$3.101115012642443e+27$ |
|
|
✓ |
$S_{35}$ (as 35T407) |
not computed |
$2$ |
$17$ |
|
| 35.35.107...681.1 |
$x^{35} - 2 x^{34} - 91 x^{33} + 186 x^{32} + 3529 x^{31} - 7282 x^{30} - 77406 x^{29} + 160015 x^{28} + 1074054 x^{27} - 2215841 x^{26} - 9975621 x^{25} + 20528466 x^{24} + 63908089 x^{23} - 131541229 x^{22} - 286306729 x^{21} + 593348019 x^{20} + 897545333 x^{19} - 1896502635 x^{18} - 1942677455 x^{17} + 4283320775 x^{16} + 2804705170 x^{15} - 6752081061 x^{14} - 2493142459 x^{13} + 7254188151 x^{12} + 1058706744 x^{11} - 5105442290 x^{10} + 147588576 x^{9} + 2206890342 x^{8} - 365733379 x^{7} - 523140235 x^{6} + 145322301 x^{5} + 51716162 x^{4} - 20476030 x^{3} - 56585 x^{2} + 426253 x - 7523$ |
$35$ |
[35,0] |
$11^{28}\cdot 29^{30}$ |
$2$ |
$122.066964904$ |
$122.06696490351288$ |
|
✓ |
? |
$C_{35}$ (as 35T1) |
trivial |
$2$ |
$34$ |
$21825601175888975000000000$ |
| 35.3.138...264.1 |
$x^{35} - 4 x - 2$ |
$35$ |
[3,16] |
$2^{34}\cdot 19\cdot 168467557\cdot 25\!\cdots\!87$ |
$4$ |
$122.965241727$ |
$5.573277274067303e+31$ |
|
|
✓ |
$S_{35}$ (as 35T407) |
not computed |
$2$ |
$18$ |
|
| 35.3.138...389.1 |
$x^{35} - 4 x - 1$ |
$35$ |
[3,16] |
$13\cdot 7589\cdot 20542855181\cdot 1539824338977817412998292597\cdot 44\!\cdots\!61$ |
$5$ |
$122.965241732$ |
$3.725558935177178e+36$ |
|
|
✓ |
$S_{35}$ (as 35T407) |
not computed |
$2$ |
$18$ |
|
| 35.1.138...139.1 |
$x^{35} + 4 x - 1$ |
$35$ |
[1,17] |
$-\,3\cdot 11\cdot 313\cdot 2039\cdot 7735841\cdot 2351499104023\cdot 659569685611056889\cdot 54928069223700611994891513947$ |
$8$ |
$122.965241732$ |
$3.725558935177178e+36$ |
|
|
✓ |
$S_{35}$ (as 35T407) |
not computed |
$2$ |
$17$ |
|
| 35.1.138...139.1 |
$x^{35} + 4 x - 3$ |
$35$ |
[1,17] |
$-\,9138888871558869679\cdot 15\!\cdots\!41$ |
$2$ |
$122.969892839$ |
$3.7280257640432796e+36$ |
|
|
✓ |
$S_{35}$ (as 35T407) |
not computed |
$2$ |
$17$ |
|
| 35.1.813...688.1 |
$x^{35} - 2 x - 4$ |
$35$ |
[1,17] |
$-\,2^{66}\cdot 3\cdot 19661\cdot 769973\cdot 4451823287\cdot 54\!\cdots\!49$ |
$6$ |
$129.337543334$ |
|
|
|
? |
$S_{35}$ (as 35T407) |
not computed |
$2$ |
$17$ |
|
| 35.1.813...312.1 |
$x^{35} + 2 x - 4$ |
$35$ |
[1,17] |
$-\,2^{66}\cdot 53\cdot 73\cdot 4799\cdot 29426707\cdot 2986177911580117\cdot 675732378059188256648497$ |
$7$ |
$129.337543334$ |
|
|
|
? |
$S_{35}$ (as 35T407) |
not computed |
$2$ |
$17$ |
|
| 35.1.325...048.1 |
$x^{35} - 3 x - 4$ |
$35$ |
[1,17] |
$-\,2^{34}\cdot 1549\cdot 423786696769\cdot 86327107557848503\cdot 33\!\cdots\!79$ |
$5$ |
$134.563197778$ |
|
|
|
✓ |
$S_{35}$ (as 35T407) |
not computed |
$2$ |
$17$ |
|
| 35.1.325...536.1 |
$x^{35} + x - 4$ |
$35$ |
[1,17] |
$-\,2^{34}\cdot 3\cdot 13\cdot 48\!\cdots\!11$ |
$4$ |
$134.563204728$ |
|
|
|
✓ |
$S_{35}$ (as 35T407) |
not computed |
$2$ |
$17$ |
|
| 35.1.136...875.1 |
$x^{35} + 5 x - 3$ |
$35$ |
[1,17] |
$-\,5^{33}\cdot 1098074000209\cdot 10\!\cdots\!67$ |
$3$ |
$140.201042986$ |
|
|
|
? |
$S_{35}$ (as 35T407) |
not computed |
$2$ |
$17$ |
|
| 35.1.855...000.1 |
$x^{35} + 5 x - 2$ |
$35$ |
[1,17] |
$-\,2^{35}\cdot 5^{35}\cdot 29\cdot 37\cdot 4783\cdot 451109\cdot 36948068942212518669550297789$ |
$7$ |
$147.737473193$ |
|
|
|
? |
$S_{35}$ (as 35T407) |
not computed |
$2$ |
$17$ |
|
| 35.3.342...125.1 |
$x^{35} - 5 x - 3$ |
$35$ |
[3,16] |
$5^{35}\cdot 47\cdot 2551\cdot 98\!\cdots\!77$ |
$4$ |
$153.706549805$ |
|
|
|
✓ |
$S_{35}$ (as 35T407) |
not computed |
$2$ |
$18$ |
|
| 35.3.342...000.1 |
$x^{35} - 5 x - 2$ |
$35$ |
[3,16] |
$2^{35}\cdot 3\cdot 5^{35}\cdot 846499\cdot 13\!\cdots\!69$ |
$5$ |
$153.706552165$ |
|
|
|
✓ |
$S_{35}$ (as 35T407) |
not computed |
$2$ |
$18$ |
|
| 35.3.342...125.1 |
$x^{35} - 5 x - 1$ |
$35$ |
[3,16] |
$3\cdot 5^{35}\cdot 10273\cdot 14843\cdot 25\!\cdots\!29$ |
$5$ |
$153.706552165$ |
|
|
|
✓ |
$S_{35}$ (as 35T407) |
not computed |
$2$ |
$18$ |
|
| 35.1.342...875.1 |
$x^{35} + 5 x - 1$ |
$35$ |
[1,17] |
$-\,5^{35}\cdot 11\cdot 241663\cdot 1377785519387\cdot 12423383848143479\cdot 258379951197664711$ |
$6$ |
$153.706552165$ |
|
|
|
✓ |
$S_{35}$ (as 35T407) |
not computed |
$2$ |
$17$ |
|
| 35.1.345...000.1 |
$x^{35} + 5 x - 4$ |
$35$ |
[1,17] |
$-\,2^{34}\cdot 5^{35}\cdot 23\cdot 30\!\cdots\!67$ |
$4$ |
$153.748125419$ |
|
|
|
✓ |
$S_{35}$ (as 35T407) |
not computed |
$2$ |
$17$ |
|
| 35.1.675...875.1 |
$x^{35} - 5 x - 5$ |
$35$ |
[1,17] |
$-\,5^{35}\cdot 29\cdot 2243199001\cdot 214847929968602317\cdot 1659496377096759652722647$ |
$5$ |
$156.719676569$ |
|
|
|
? |
$S_{35}$ (as 35T407) |
not computed |
$2$ |
$17$ |
|
| 35.1.641...339.1 |
$x^{35} - x - 5$ |
$35$ |
[1,17] |
$-\,137320571\cdot 46\!\cdots\!09$ |
$2$ |
$167.135027491$ |
$8.010891503257373e+38$ |
|
|
✓ |
$S_{35}$ (as 35T407) |
not computed |
$2$ |
$17$ |
|
| 35.1.641...875.1 |
$x^{35} - 5$ |
$35$ |
[1,17] |
$-\,5^{69}\cdot 7^{35}$ |
$2$ |
$167.135027491$ |
$218.0983175291639$ |
|
|
✓ |
$F_5\times F_7$ (as 35T20) |
not computed |
$2$ |
$17$ |
|
| 35.1.641...411.1 |
$x^{35} + x - 5$ |
$35$ |
[1,17] |
$-\,3\cdot 29\cdot 83\cdot 14920870913449\cdot 59\!\cdots\!59$ |
$5$ |
$167.135027491$ |
$8.010891503257373e+38$ |
|
|
✓ |
$S_{35}$ (as 35T407) |
not computed |
$2$ |
$17$ |
|
| 35.1.641...827.1 |
$x^{35} + 3 x - 5$ |
$35$ |
[1,17] |
$-\,47\cdot 397\cdot 1877\cdot 119039\cdot 441804439\cdot 34\!\cdots\!09$ |
$6$ |
$167.135027495$ |
$8.010891506928642e+38$ |
|
|
✓ |
$S_{35}$ (as 35T407) |
not computed |
$2$ |
$17$ |
|
| 35.1.675...875.1 |
$x^{35} + 5 x - 5$ |
$35$ |
[1,17] |
$-\,5^{35}\cdot 1481\cdot 13004394089\cdot 2075469389711\cdot 5810445451732846110092217889$ |
$5$ |
$167.383263545$ |
|
|
|
✓ |
$S_{35}$ (as 35T407) |
not computed |
$2$ |
$17$ |
|
| 35.35.145...169.1 |
$x^{35} - 2 x^{34} - 121 x^{33} + 124 x^{32} + 6435 x^{31} - 1020 x^{30} - 195036 x^{29} - 112597 x^{28} + 3683986 x^{27} + 4452851 x^{26} - 44769607 x^{25} - 80359740 x^{24} + 347984933 x^{23} + 850835561 x^{22} - 1630509423 x^{21} - 5621246939 x^{20} + 3615565971 x^{19} + 23234081997 x^{18} + 3088781711 x^{17} - 57619940147 x^{16} - 39347873390 x^{15} + 76695393961 x^{14} + 92864249975 x^{13} - 38675667681 x^{12} - 94158719636 x^{11} - 10380297650 x^{10} + 42855721796 x^{9} + 16263455858 x^{8} - 7226936109 x^{7} - 4634581071 x^{6} - 47622511 x^{5} + 349101928 x^{4} + 70736582 x^{3} + 5060011 x^{2} + 136327 x + 859$ |
$35$ |
[35,0] |
$11^{28}\cdot 43^{30}$ |
$2$ |
$171.092104053$ |
$171.09210405273816$ |
|
✓ |
? |
$C_{35}$ (as 35T1) |
trivial |
$2$ |
$34$ |
$8063096359873239000000000000$ |
| 35.35.106...241.1 |
$x^{35} - x^{34} - 102 x^{33} + 231 x^{32} + 4336 x^{31} - 15350 x^{30} - 93149 x^{29} + 492148 x^{28} + 885684 x^{27} - 8797227 x^{26} + 2494886 x^{25} + 89830596 x^{24} - 154446290 x^{23} - 471756827 x^{22} + 1664362308 x^{21} + 444168124 x^{20} - 8565464505 x^{19} + 8653560326 x^{18} + 19862461891 x^{17} - 47903559470 x^{16} + 736744022 x^{15} + 100720726682 x^{14} - 96083394992 x^{13} - 62920019542 x^{12} + 165504701751 x^{11} - 60624002242 x^{10} - 87564669300 x^{9} + 86642725878 x^{8} - 451900172 x^{7} - 32473918206 x^{6} + 11871839347 x^{5} + 3432884529 x^{4} - 2696920777 x^{3} + 146105313 x^{2} + 172726939 x - 27756643$ |
$35$ |
[35,0] |
$211^{34}$ |
$1$ |
$181.081625838$ |
$181.081625838294$ |
|
✓ |
? |
$C_{35}$ (as 35T1) |
trivial |
$2$ |
$34$ |
$24168639235544094000000000000$ |
| 35.35.732...081.1 |
$x^{35} - 7 x^{34} - 112 x^{33} + 742 x^{32} + 5845 x^{31} - 34447 x^{30} - 188041 x^{29} + 918544 x^{28} + 4120599 x^{27} - 15488536 x^{26} - 63930916 x^{25} + 170889838 x^{24} + 709660070 x^{23} - 1224719069 x^{22} - 5607885533 x^{21} + 5331715046 x^{20} + 31035849173 x^{19} - 10542390278 x^{18} - 116936498434 x^{17} - 15812866636 x^{16} + 286852619543 x^{15} + 146466192098 x^{14} - 426702558436 x^{13} - 357822103121 x^{12} + 338413935629 x^{11} + 421000631443 x^{10} - 94811511375 x^{9} - 240823440823 x^{8} - 25297046987 x^{7} + 58988457696 x^{6} + 13678049308 x^{5} - 6371815744 x^{4} - 1687698845 x^{3} + 280068103 x^{2} + 55092156 x - 2660503$ |
$35$ |
[35,0] |
$7^{60}\cdot 11^{28}$ |
$2$ |
$191.361094063$ |
$191.3610940628881$ |
|
✓ |
? |
$C_{35}$ (as 35T1) |
trivial |
$2$ |
$34$ |
$103376387230934820000000000000$ |
| 35.35.103...625.1 |
$x^{35} - 5 x^{34} - 120 x^{33} + 560 x^{32} + 6265 x^{31} - 27063 x^{30} - 188895 x^{29} + 746800 x^{28} + 3677845 x^{27} - 13130310 x^{26} - 48923530 x^{25} + 155517810 x^{24} + 458129250 x^{23} - 1279983515 x^{22} - 3063191465 x^{21} + 7446901792 x^{20} + 14674072475 x^{19} - 30859715040 x^{18} - 50096318770 x^{17} + 91037787910 x^{16} + 120155286235 x^{15} - 189447334860 x^{14} - 197298653000 x^{13} + 272612081065 x^{12} + 212356717105 x^{11} - 261877354307 x^{10} - 139209319745 x^{9} + 158110983885 x^{8} + 48766657725 x^{7} - 53789658890 x^{6} - 7150843552 x^{5} + 8233276160 x^{4} + 456884545 x^{3} - 363355535 x^{2} - 50594420 x - 1782107$ |
$35$ |
[35,0] |
$5^{56}\cdot 29^{30}$ |
$2$ |
$235.416015661$ |
$235.41601566087837$ |
|
✓ |
? |
$C_{35}$ (as 35T1) |
trivial |
$2$ |
$34$ |
$2479808589614732200000000000000$ |
| 35.35.180...921.1 |
$x^{35} - x^{34} - 136 x^{33} + 115 x^{32} + 7922 x^{31} - 5864 x^{30} - 262379 x^{29} + 176786 x^{28} + 5536174 x^{27} - 3463751 x^{26} - 78912031 x^{25} + 45605901 x^{24} + 785104244 x^{23} - 406720184 x^{22} - 5548252572 x^{21} + 2436396552 x^{20} + 28031325744 x^{19} - 9529852980 x^{18} - 100888672963 x^{17} + 22693210859 x^{16} + 254967397769 x^{15} - 26498170926 x^{14} - 440501997963 x^{13} - 3333796454 x^{12} + 500538383949 x^{11} + 44640325883 x^{10} - 358942724140 x^{9} - 43476115800 x^{8} + 159203701176 x^{7} + 16418359222 x^{6} - 42718375268 x^{5} - 1999390430 x^{4} + 6413147106 x^{3} - 204719982 x^{2} - 415325205 x + 48529823$ |
$35$ |
[35,0] |
$281^{34}$ |
$1$ |
$239.190145058$ |
$239.19014505825035$ |
|
✓ |
? |
$C_{35}$ (as 35T1) |
trivial |
$2$ |
$34$ |
$6612930761186456000000000000000$ |
| 35.35.497...681.1 |
$x^{35} - 2 x^{34} - 181 x^{33} + 470 x^{32} + 14259 x^{31} - 45478 x^{30} - 638530 x^{29} + 2447153 x^{28} + 17767052 x^{27} - 82345759 x^{26} - 312539633 x^{25} + 1833247298 x^{24} + 3264215879 x^{23} - 27715265019 x^{22} - 13487454777 x^{21} + 286033632049 x^{20} - 123264134993 x^{19} - 1983204888009 x^{18} + 2337315606897 x^{17} + 8777927035267 x^{16} - 17238219604018 x^{15} - 21289728738165 x^{14} + 71563023595709 x^{13} + 8692436762607 x^{12} - 169783075654432 x^{11} + 94786315419610 x^{10} + 202072200901306 x^{9} - 240242794434974 x^{8} - 58566297948415 x^{7} + 212040077699383 x^{6} - 73316281317651 x^{5} - 51014137537536 x^{4} + 37974482870362 x^{3} - 1868368126575 x^{2} - 3872034006535 x + 804494744591$ |
$35$ |
[35,0] |
$11^{28}\cdot 71^{30}$ |
$2$ |
$262.970491728$ |
$262.9704917282868$ |
|
✓ |
? |
$C_{35}$ (as 35T1) |
trivial |
$2$ |
$34$ |
$14144996650663707000000000000000$ |
| 35.35.426...641.1 |
$x^{35} - 2 x^{34} - 147 x^{33} + 384 x^{32} + 8999 x^{31} - 28384 x^{30} - 300934 x^{29} + 1116603 x^{28} + 6027458 x^{27} - 26518095 x^{26} - 73782007 x^{25} + 404019590 x^{24} + 521840181 x^{23} - 4069268247 x^{22} - 1503940067 x^{21} + 27441438677 x^{20} - 6471979421 x^{19} - 124171354119 x^{18} + 81524582969 x^{17} + 375114725905 x^{16} - 364687984188 x^{15} - 747339096335 x^{14} + 926308497451 x^{13} + 961292881275 x^{12} - 1451786049968 x^{11} - 771321612374 x^{10} + 1427632011474 x^{9} + 365928432486 x^{8} - 868346663001 x^{7} - 97103750919 x^{6} + 312022190475 x^{5} + 17703737306 x^{4} - 59996070990 x^{3} - 4579250401 x^{2} + 4824514261 x + 750695467$ |
$35$ |
[35,0] |
$29^{30}\cdot 31^{28}$ |
$2$ |
$279.623297743$ |
$279.62329774259905$ |
|
✓ |
? |
$C_{35}$ (as 35T1) |
trivial |
$2$ |
$34$ |
$51550321315774970000000000000000$ |
| 35.35.168...681.1 |
$x^{35} - x^{34} - 204 x^{33} + 437 x^{32} + 17534 x^{31} - 54290 x^{30} - 824862 x^{29} + 3275941 x^{28} + 23317913 x^{27} - 115242097 x^{26} - 407103864 x^{25} + 2577740505 x^{24} + 4218284220 x^{23} - 38412158946 x^{22} - 19912715245 x^{21} + 391393011501 x^{20} - 73963916883 x^{19} - 2766871309456 x^{18} + 1816877075105 x^{17} + 13678303310453 x^{16} - 13286645514747 x^{15} - 47446655533795 x^{14} + 55834172665771 x^{13} + 115251505419203 x^{12} - 148585020568878 x^{11} - 193921735357495 x^{10} + 253198008831294 x^{9} + 219700193289987 x^{8} - 266521489745621 x^{7} - 156623228737724 x^{6} + 157601287591422 x^{5} + 59099363823325 x^{4} - 42232493776557 x^{3} - 6358323449919 x^{2} + 3052649440546 x - 157964821171$ |
$35$ |
[35,0] |
$421^{34}$ |
$1$ |
$354.244085038$ |
$354.2440850381781$ |
|
✓ |
|
$C_{35}$ (as 35T1) |
not computed |
$2$ |
$34$ |
|
| 35.35.705...625.1 |
$x^{35} - 175 x^{33} - 70 x^{32} + 13125 x^{31} + 9702 x^{30} - 556640 x^{29} - 573225 x^{28} + 14844900 x^{27} + 19050185 x^{26} - 261854635 x^{25} - 394847250 x^{24} + 3128435905 x^{23} + 5347852195 x^{22} - 25515383355 x^{21} - 48297678121 x^{20} + 141795944465 x^{19} + 292585456625 x^{18} - 533394487115 x^{17} - 1187150912745 x^{16} + 1349113537702 x^{15} + 3207931617015 x^{14} - 2286376450785 x^{13} - 5710072444965 x^{12} + 2606036871270 x^{11} + 6560227221870 x^{10} - 2026242763720 x^{9} - 4691478893710 x^{8} + 1084067118185 x^{7} + 1962115542205 x^{6} - 373976828869 x^{5} - 432767079290 x^{4} + 65717425060 x^{3} + 43746645075 x^{2} - 3865111915 x - 1645272349$ |
$35$ |
[35,0] |
$5^{56}\cdot 7^{60}$ |
$2$ |
$369.05534886$ |
$369.0553488603634$ |
|
✓ |
? |
$C_{35}$ (as 35T1) |
not computed |
$2$ |
$34$ |
|
| 35.35.313...761.1 |
$x^{35} - x^{34} - 238 x^{33} + 173 x^{32} + 24286 x^{31} - 16434 x^{30} - 1418466 x^{29} + 1081623 x^{28} + 53047154 x^{27} - 49719432 x^{26} - 1339060322 x^{25} + 1572006663 x^{24} + 23323700077 x^{23} - 34062526929 x^{22} - 280163543133 x^{21} + 504952475173 x^{20} + 2262920124956 x^{19} - 5071803868827 x^{18} - 11476437360382 x^{17} + 33655878701114 x^{16} + 29727135340615 x^{15} - 140118838407360 x^{14} + 3247425380495 x^{13} + 329245748251530 x^{12} - 225104736115922 x^{11} - 332674574789057 x^{10} + 467468058300787 x^{9} - 15355505673450 x^{8} - 263968105366926 x^{7} + 131023125506686 x^{6} + 23123425964865 x^{5} - 32591926570801 x^{4} + 5190946345187 x^{3} + 1696655472839 x^{2} - 515233369184 x + 22178194211$ |
$35$ |
[35,0] |
$491^{34}$ |
$1$ |
$411.332901928$ |
$411.33290192846266$ |
|
✓ |
? |
$C_{35}$ (as 35T1) |
not computed |
$2$ |
$34$ |
|
