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 |
10.10.443952558373.1 |
$x^{10} - 11 x^{8} - 3 x^{7} + 37 x^{6} + 14 x^{5} - 48 x^{4} - 22 x^{3} + 20 x^{2} + 12 x + 1$ |
$10$ |
[10,0] |
$61^{2}\cdot 397^{2}\cdot 757$ |
$3$ |
$14.6128072678$ |
$4281.619903728027$ |
|
|
✓ |
$C_2 \wr S_5$ (as 10T39) |
trivial |
$2$ |
$9$ |
$207.94659148$ |
10.10.513087549389.1 |
$x^{10} - 4 x^{9} - 2 x^{8} + 23 x^{7} - 11 x^{6} - 40 x^{5} + 30 x^{4} + 21 x^{3} - 18 x^{2} + 1$ |
$10$ |
[10,0] |
$460181\cdot 1114969$ |
$2$ |
$14.8258344935$ |
$716301.2979110117$ |
|
|
✓ |
$S_{10}$ (as 10T45) |
trivial |
$2$ |
$9$ |
$224.18969507$ |
10.10.572981288913.1 |
$x^{10} - x^{9} - 10 x^{8} + 10 x^{7} + 34 x^{6} - 34 x^{5} - 43 x^{4} + 43 x^{3} + 12 x^{2} - 12 x + 1$ |
$10$ |
[10,0] |
$3^{5}\cdot 11^{9}$ |
$2$ |
$14.9904283864$ |
$14.990428386414978$ |
|
✓ |
✓ |
$C_{10}$ (as 10T1) |
trivial |
$2$ |
$9$ |
$245.278866244$ |
10.10.617567936161.1 |
$x^{10} - x^{9} - 12 x^{8} + 5 x^{7} + 39 x^{6} - 11 x^{5} - 47 x^{4} + 15 x^{3} + 18 x^{2} - 9 x + 1$ |
$10$ |
[10,0] |
$11^{8}\cdot 43\cdot 67$ |
$3$ |
$15.103182629$ |
$365.49865006155005$ |
|
|
✓ |
$C_2 \times (C_2^4 : C_5)$ (as 10T14) |
trivial |
$2$ |
$9$ |
$250.927290416$ |
10.10.645863308453.1 |
$x^{10} - 2 x^{9} - 9 x^{8} + 15 x^{7} + 29 x^{6} - 31 x^{5} - 43 x^{4} + 14 x^{3} + 23 x^{2} + 3 x - 1$ |
$10$ |
[10,0] |
$11^{8}\cdot 23\cdot 131$ |
$3$ |
$15.1709948629$ |
$373.7779811305969$ |
|
|
✓ |
$C_2 \times (C_2^4 : C_5)$ (as 10T14) |
trivial |
$2$ |
$9$ |
$258.616788218$ |
10.10.653113904957.1 |
$x^{10} - x^{9} - 9 x^{8} + 9 x^{7} + 25 x^{6} - 23 x^{5} - 24 x^{4} + 17 x^{3} + 8 x^{2} - 3 x - 1$ |
$10$ |
[10,0] |
$37\cdot 47\cdot 239\cdot 1571417$ |
$4$ |
$15.1879407071$ |
$808154.6293606194$ |
|
|
✓ |
$S_{10}$ (as 10T45) |
trivial |
$2$ |
$9$ |
$264.663215216$ |
10.10.669871503125.1 |
$x^{10} - x^{9} - 13 x^{8} + 8 x^{7} + 46 x^{6} - 11 x^{5} - 52 x^{4} + 7 x^{3} + 18 x^{2} - 3 x - 1$ |
$10$ |
[10,0] |
$5^{5}\cdot 11^{8}$ |
$2$ |
$15.2264671648$ |
$15.226467164777734$ |
|
✓ |
? |
$C_{10}$ (as 10T1) |
trivial |
$2$ |
$9$ |
$274.696482776$ |
10.10.762939453125.1 |
$x^{10} - 10 x^{8} + 35 x^{6} - x^{5} - 50 x^{4} + 5 x^{3} + 25 x^{2} - 5 x - 1$ |
$10$ |
[10,0] |
$5^{17}$ |
$1$ |
$15.425846568$ |
$15.42584656800024$ |
|
✓ |
✓ |
$C_{10}$ (as 10T1) |
trivial |
$2$ |
$9$ |
$315.247729768$ |
10.10.769611580061.1 |
$x^{10} - 4 x^{9} - 3 x^{8} + 22 x^{7} + 3 x^{6} - 41 x^{5} - 8 x^{4} + 25 x^{3} + 8 x^{2} - 3 x - 1$ |
$10$ |
[10,0] |
$769611580061$ |
$1$ |
$15.439284121$ |
$877275.0880202857$ |
|
|
✓ |
$S_{10}$ (as 10T45) |
trivial |
$2$ |
$9$ |
$284.870071711$ |
10.10.782566688557.1 |
$x^{10} - 3 x^{9} - 6 x^{8} + 19 x^{7} + 15 x^{6} - 40 x^{5} - 20 x^{4} + 29 x^{3} + 11 x^{2} - 4 x - 1$ |
$10$ |
[10,0] |
$17^{2}\cdot 157\cdot 4153^{2}$ |
$3$ |
$15.465078747$ |
$3329.31779798805$ |
|
|
✓ |
$C_2 \wr S_5$ (as 10T39) |
trivial |
$2$ |
$9$ |
$301.03717021$ |
10.10.805213821197.1 |
$x^{10} - 2 x^{9} - 8 x^{8} + 13 x^{7} + 23 x^{6} - 28 x^{5} - 28 x^{4} + 22 x^{3} + 13 x^{2} - 4 x - 1$ |
$10$ |
[10,0] |
$61^{2}\cdot 397^{2}\cdot 1373$ |
$3$ |
$15.5092616231$ |
$5766.276181384308$ |
|
|
✓ |
$C_2 \wr S_5$ (as 10T39) |
trivial |
$2$ |
$9$ |
$291.274557272$ |
10.10.820298081773.1 |
$x^{10} - 2 x^{9} - 8 x^{8} + 12 x^{7} + 22 x^{6} - 22 x^{5} - 24 x^{4} + 13 x^{3} + 10 x^{2} - 2 x - 1$ |
$10$ |
[10,0] |
$1523\cdot 538606751$ |
$2$ |
$15.5380734331$ |
$905703.0869843605$ |
|
|
✓ |
$S_{10}$ (as 10T45) |
trivial |
$2$ |
$9$ |
$305.86034405$ |
10.10.822624971833.1 |
$x^{10} - 10 x^{8} - 3 x^{7} + 29 x^{6} + 10 x^{5} - 32 x^{4} - 10 x^{3} + 12 x^{2} + 3 x - 1$ |
$10$ |
[10,0] |
$7\cdot 79\cdot 38569^{2}$ |
$3$ |
$15.5424754085$ |
$4618.295897839375$ |
|
|
✓ |
$C_2 \wr S_5$ (as 10T39) |
trivial |
$2$ |
$9$ |
$313.286716031$ |
10.10.823301450757.1 |
$x^{10} - 4 x^{9} - 3 x^{8} + 25 x^{7} - 8 x^{6} - 46 x^{5} + 27 x^{4} + 27 x^{3} - 18 x^{2} - x + 1$ |
$10$ |
[10,0] |
$3^{2}\cdot 19^{2}\cdot 37\cdot 2617^{2}$ |
$4$ |
$15.5437530585$ |
$2349.309047358393$ |
|
|
✓ |
$C_2 \wr S_5$ (as 10T39) |
trivial |
$2$ |
$9$ |
$307.940302196$ |
10.10.838055754181.1 |
$x^{10} - 2 x^{9} - 8 x^{8} + 17 x^{7} + 17 x^{6} - 43 x^{5} - 3 x^{4} + 31 x^{3} - 9 x^{2} - 3 x + 1$ |
$10$ |
[10,0] |
$61^{2}\cdot 397^{2}\cdot 1429$ |
$3$ |
$15.5713867403$ |
$5882.694365679727$ |
|
|
✓ |
$C_2 \wr S_5$ (as 10T39) |
trivial |
$2$ |
$9$ |
$295.76092578$ |
10.10.841363028173.1 |
$x^{10} - 10 x^{8} - 2 x^{7} + 33 x^{6} + 11 x^{5} - 40 x^{4} - 16 x^{3} + 12 x^{2} + 3 x - 1$ |
$10$ |
[10,0] |
$841363028173$ |
$1$ |
$15.5775208924$ |
$917258.4304180583$ |
|
|
? |
$S_{10}$ (as 10T45) |
trivial |
$2$ |
$9$ |
$313.1247297756671$ |
10.10.872351958893.1 |
$x^{10} - 3 x^{9} - 7 x^{8} + 22 x^{7} + 19 x^{6} - 56 x^{5} - 25 x^{4} + 56 x^{3} + 13 x^{2} - 18 x - 1$ |
$10$ |
[10,0] |
$48413\cdot 18018961$ |
$2$ |
$15.6339663932$ |
$933997.8366639828$ |
|
|
✓ |
$S_{10}$ (as 10T45) |
trivial |
$2$ |
$9$ |
$306.6984491932094$ |
10.10.901040998181.1 |
$x^{10} - 2 x^{9} - 8 x^{8} + 15 x^{7} + 22 x^{6} - 37 x^{5} - 24 x^{4} + 35 x^{3} + 7 x^{2} - 11 x + 1$ |
$10$ |
[10,0] |
$31\cdot 1877\cdot 1933\cdot 8011$ |
$4$ |
$15.6846363947$ |
$949231.7937053099$ |
|
|
✓ |
$S_{10}$ (as 10T45) |
trivial |
$2$ |
$9$ |
$312.8479439581071$ |
10.10.911025153125.1 |
$x^{10} - 4 x^{9} - 3 x^{8} + 22 x^{7} + 2 x^{6} - 41 x^{5} - 3 x^{4} + 27 x^{3} + 5 x^{2} - 4 x - 1$ |
$10$ |
[10,0] |
$5^{5}\cdot 419\cdot 695771$ |
$3$ |
$15.7019299952$ |
$38179.05505640495$ |
|
|
✓ |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$2$ |
$9$ |
$314.60686502$ |
10.10.913378895261.1 |
$x^{10} - 4 x^{9} - 3 x^{8} + 27 x^{7} - 15 x^{6} - 40 x^{5} + 30 x^{4} + 20 x^{3} - 13 x^{2} - 3 x + 1$ |
$10$ |
[10,0] |
$7\cdot 31^{2}\cdot 135778043$ |
$3$ |
$15.7059820672$ |
$171650.32866557525$ |
|
|
✓ |
$S_{10}$ (as 10T45) |
trivial |
$2$ |
$9$ |
$333.856456137$ |
10.10.925108450304.1 |
$x^{10} - 2 x^{9} - 8 x^{8} + 12 x^{7} + 24 x^{6} - 22 x^{5} - 29 x^{4} + 14 x^{3} + 12 x^{2} - 2 x - 1$ |
$10$ |
[10,0] |
$2^{10}\cdot 9649\cdot 93629$ |
$3$ |
$15.726035974$ |
$110249.74345077526$ |
|
|
✓ |
$S_{10}$ (as 10T45) |
trivial |
$2$ |
$9$ |
$324.421089039$ |
10.10.928565973197.1 |
$x^{10} - 2 x^{9} - 8 x^{8} + 13 x^{7} + 24 x^{6} - 26 x^{5} - 32 x^{4} + 16 x^{3} + 16 x^{2} - 1$ |
$10$ |
[10,0] |
$2729\cdot 5659\cdot 60127$ |
$3$ |
$15.7319035994$ |
$963621.2810004769$ |
|
|
✓ |
$S_{10}$ (as 10T45) |
trivial |
$2$ |
$9$ |
$321.811607365$ |
10.10.943765631693.1 |
$x^{10} - 2 x^{9} - 8 x^{8} + 12 x^{7} + 23 x^{6} - 20 x^{5} - 25 x^{4} + 10 x^{3} + 10 x^{2} - x - 1$ |
$10$ |
[10,0] |
$943765631693$ |
$1$ |
$15.7574673453$ |
$971476.0067510675$ |
|
|
✓ |
$S_{10}$ (as 10T45) |
trivial |
$2$ |
$9$ |
$320.4622197789755$ |
10.10.944409985381.1 |
$x^{10} - x^{9} - 11 x^{8} + 9 x^{7} + 38 x^{6} - 27 x^{5} - 51 x^{4} + 34 x^{3} + 22 x^{2} - 16 x + 1$ |
$10$ |
[10,0] |
$709\cdot 36497^{2}$ |
$2$ |
$15.7585428522$ |
$5086.882444090879$ |
|
|
? |
$C_2 \wr S_5$ (as 10T39) |
trivial |
$2$ |
$9$ |
$332.184947708$ |
10.10.950202516997.1 |
$x^{10} - 10 x^{8} - x^{7} + 33 x^{6} + 3 x^{5} - 44 x^{4} - x^{3} + 21 x^{2} - 2 x - 1$ |
$10$ |
[10,0] |
$607\cdot 37649\cdot 41579$ |
$3$ |
$15.7681817684$ |
$974783.3179722559$ |
|
|
✓ |
$S_{10}$ (as 10T45) |
trivial |
$2$ |
$9$ |
$322.962603475$ |
10.10.958265834381.1 |
$x^{10} - 4 x^{9} - 2 x^{8} + 22 x^{7} - 8 x^{6} - 39 x^{5} + 22 x^{4} + 23 x^{3} - 13 x^{2} - 2 x + 1$ |
$10$ |
[10,0] |
$17\cdot 56368578493$ |
$2$ |
$15.7815116562$ |
$978910.534411087$ |
|
|
✓ |
$S_{10}$ (as 10T45) |
trivial |
$2$ |
$9$ |
$326.0121722313577$ |
10.10.967077633761.1 |
$x^{10} - 5 x^{9} + 2 x^{8} + 22 x^{7} - 22 x^{6} - 32 x^{5} + 35 x^{4} + 19 x^{3} - 16 x^{2} - 4 x + 1$ |
$10$ |
[10,0] |
$17\cdot 61^{2}\cdot 97\cdot 397^{2}$ |
$4$ |
$15.7959639505$ |
$6319.322194666133$ |
|
|
✓ |
$C_2 \wr S_5$ (as 10T39) |
trivial |
$2$ |
$9$ |
$325.386330707$ |
10.10.968074628125.1 |
$x^{10} - x^{9} - 10 x^{8} + 8 x^{7} + 34 x^{6} - 23 x^{5} - 46 x^{4} + 28 x^{3} + 20 x^{2} - 13 x + 1$ |
$10$ |
[10,0] |
$5^{5}\cdot 11\cdot 28162171$ |
$3$ |
$15.797591657$ |
$39356.313407126945$ |
|
|
✓ |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$2$ |
$9$ |
$332.660098136$ |
10.10.983282290021.1 |
$x^{10} - 4 x^{9} - 3 x^{8} + 23 x^{7} - 2 x^{6} - 42 x^{5} + 8 x^{4} + 28 x^{3} - 5 x^{2} - 6 x + 1$ |
$10$ |
[10,0] |
$661\cdot 38569^{2}$ |
$2$ |
$15.8222346765$ |
$5049.169139571381$ |
|
|
✓ |
$C_2 \wr S_5$ (as 10T39) |
trivial |
$2$ |
$9$ |
$342.690572371$ |
10.10.983479472873.1 |
$x^{10} - 2 x^{9} - 8 x^{8} + 15 x^{7} + 17 x^{6} - 28 x^{5} - 15 x^{4} + 17 x^{3} + 6 x^{2} - 3 x - 1$ |
$10$ |
[10,0] |
$1567\cdot 627619319$ |
$2$ |
$15.8225519396$ |
$991705.3357086469$ |
|
|
✓ |
$S_{10}$ (as 10T45) |
trivial |
$2$ |
$9$ |
$334.297503967$ |
10.10.993530403125.1 |
$x^{10} - x^{9} - 10 x^{8} + 7 x^{7} + 34 x^{6} - 18 x^{5} - 46 x^{4} + 21 x^{3} + 20 x^{2} - 10 x + 1$ |
$10$ |
[10,0] |
$5^{5}\cdot 13^{2}\cdot 1881241$ |
$3$ |
$15.8386483301$ |
$11058.058826032713$ |
|
|
✓ |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$2$ |
$9$ |
$336.806371297$ |
10.10.995293579409.1 |
$x^{10} - 2 x^{9} - 8 x^{8} + 16 x^{7} + 17 x^{6} - 35 x^{5} - 11 x^{4} + 26 x^{3} - 6 x + 1$ |
$10$ |
[10,0] |
$17783\cdot 55968823$ |
$2$ |
$15.8414569057$ |
$997644.0143703565$ |
|
|
✓ |
$S_{10}$ (as 10T45) |
trivial |
$2$ |
$9$ |
$339.076281671$ |
10.10.1056719528125.1 |
$x^{10} - x^{9} - 11 x^{8} + 13 x^{7} + 35 x^{6} - 43 x^{5} - 36 x^{4} + 41 x^{3} + 10 x^{2} - 7 x - 1$ |
$10$ |
[10,0] |
$5^{5}\cdot 89\cdot 1061\cdot 3581$ |
$4$ |
$15.9366110491$ |
$41118.745664234455$ |
|
|
✓ |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$2$ |
$9$ |
$380.770505294$ |
10.10.1071443843101.1 |
$x^{10} - 2 x^{9} - 8 x^{8} + 17 x^{7} + 17 x^{6} - 40 x^{5} - 12 x^{4} + 32 x^{3} + 3 x^{2} - 6 x - 1$ |
$10$ |
[10,0] |
$41\cdot 283\cdot 92341967$ |
$3$ |
$15.9586790784$ |
$1035105.7159058682$ |
|
|
✓ |
$S_{10}$ (as 10T45) |
trivial |
$2$ |
$9$ |
$343.451747061$ |
10.10.1086015136753.1 |
$x^{10} - 2 x^{9} - 8 x^{8} + 15 x^{7} + 19 x^{6} - 32 x^{5} - 18 x^{4} + 22 x^{3} + 8 x^{2} - 3 x - 1$ |
$10$ |
[10,0] |
$43^{2}\cdot 4583\cdot 128159$ |
$3$ |
$15.9802506835$ |
$297459.91809924005$ |
|
|
✓ |
$S_{10}$ (as 10T45) |
trivial |
$2$ |
$9$ |
$355.053110684$ |
10.10.1092599165069.1 |
$x^{10} - x^{9} - 9 x^{8} + 8 x^{7} + 25 x^{6} - 18 x^{5} - 26 x^{4} + 13 x^{3} + 9 x^{2} - 2 x - 1$ |
$10$ |
[10,0] |
$1092599165069$ |
$1$ |
$15.9899124714$ |
$1045274.6840276005$ |
|
|
✓ |
$S_{10}$ (as 10T45) |
trivial |
$2$ |
$9$ |
$388.8541204130411$ |
10.10.1102817328125.1 |
$x^{10} - 2 x^{9} - 10 x^{8} + 23 x^{7} + 15 x^{6} - 47 x^{5} - 5 x^{4} + 32 x^{3} - 2 x^{2} - 7 x + 1$ |
$10$ |
[10,0] |
$5^{6}\cdot 1039\cdot 67931$ |
$3$ |
$16.0048039313$ |
$28091.134615474344$ |
|
|
✓ |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$2$ |
$9$ |
$391.26161615$ |
10.10.1125421834861.1 |
$x^{10} - 3 x^{9} - 6 x^{8} + 23 x^{7} + x^{6} - 40 x^{5} + 11 x^{4} + 22 x^{3} - 8 x^{2} - 3 x + 1$ |
$10$ |
[10,0] |
$1125421834861$ |
$1$ |
$16.0373103516$ |
$1060859.0080029485$ |
|
|
✓ |
$S_{10}$ (as 10T45) |
trivial |
$2$ |
$9$ |
$399.398906814$ |
10.10.1129529628125.1 |
$x^{10} - x^{9} - 10 x^{8} + 6 x^{7} + 36 x^{6} - 7 x^{5} - 53 x^{4} - 8 x^{3} + 25 x^{2} + 11 x + 1$ |
$10$ |
[10,0] |
$5^{5}\cdot 41\cdot 521\cdot 16921$ |
$4$ |
$16.0431543825$ |
$42511.73255702477$ |
|
|
✓ |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$2$ |
$9$ |
$364.774343099$ |
10.10.1131659253125.1 |
$x^{10} - 4 x^{9} - 4 x^{8} + 28 x^{7} - 6 x^{6} - 48 x^{5} + 10 x^{4} + 31 x^{3} - 6 x - 1$ |
$10$ |
[10,0] |
$5^{5}\cdot 5471\cdot 66191$ |
$3$ |
$16.0461766096$ |
$42551.789680341295$ |
|
|
? |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$2$ |
$9$ |
$364.21895888$ |
10.10.1135185393317.1 |
$x^{10} - 10 x^{8} - 2 x^{7} + 32 x^{6} + 12 x^{5} - 35 x^{4} - 17 x^{3} + 10 x^{2} + 7 x + 1$ |
$10$ |
[10,0] |
$1135185393317$ |
$1$ |
$16.0511694454$ |
$1065450.7934752314$ |
|
|
✓ |
$S_{10}$ (as 10T45) |
trivial |
$2$ |
$9$ |
$361.67462315589364$ |
10.10.1136222450677.1 |
$x^{10} - 12 x^{8} - 6 x^{7} + 39 x^{6} + 26 x^{5} - 37 x^{4} - 22 x^{3} + 10 x^{2} + 3 x - 1$ |
$10$ |
[10,0] |
$853\cdot 36497^{2}$ |
$2$ |
$16.0526352099$ |
$5579.6004337228305$ |
|
|
✓ |
$C_2 \wr S_5$ (as 10T39) |
trivial |
$2$ |
$9$ |
$366.678419825$ |
10.10.1140241465757.1 |
$x^{10} - 2 x^{9} - 8 x^{8} + 15 x^{7} + 22 x^{6} - 36 x^{5} - 25 x^{4} + 31 x^{3} + 10 x^{2} - 8 x - 1$ |
$10$ |
[10,0] |
$29\cdot 4217\cdot 9323849$ |
$3$ |
$16.0583042865$ |
$1067820.8959170072$ |
|
|
✓ |
$S_{10}$ (as 10T45) |
trivial |
$2$ |
$9$ |
$379.179313365$ |
10.10.1142405128125.1 |
$x^{10} - 3 x^{9} - 6 x^{8} + 23 x^{7} + 4 x^{6} - 49 x^{5} + 15 x^{4} + 27 x^{3} - 9 x^{2} - 3 x + 1$ |
$10$ |
[10,0] |
$3^{2}\cdot 5^{5}\cdot 151\cdot 268999$ |
$4$ |
$16.0613488272$ |
$24683.653193966245$ |
|
|
✓ |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$2$ |
$9$ |
$379.778230292$ |
10.10.1148718338533.1 |
$x^{10} - x^{9} - 11 x^{8} + 9 x^{7} + 35 x^{6} - 18 x^{5} - 44 x^{4} + 8 x^{3} + 19 x^{2} + 2 x - 1$ |
$10$ |
[10,0] |
$1148718338533$ |
$1$ |
$16.0702027261$ |
$1071782.7851449193$ |
|
|
✓ |
$S_{10}$ (as 10T45) |
trivial |
$2$ |
$9$ |
$382.589857342$ |
10.10.1172459165509.1 |
$x^{10} - 12 x^{8} - 6 x^{7} + 40 x^{6} + 29 x^{5} - 42 x^{4} - 38 x^{3} + 3 x^{2} + 7 x + 1$ |
$10$ |
[10,0] |
$4723\cdot 7639\cdot 32497$ |
$3$ |
$16.1031104822$ |
$1082801.5356052096$ |
|
|
? |
$S_{10}$ (as 10T45) |
trivial |
$2$ |
$9$ |
$373.861679191$ |
10.10.1175858493445.1 |
$x^{10} - 5 x^{9} + 28 x^{7} - 17 x^{6} - 55 x^{5} + 33 x^{4} + 43 x^{3} - 13 x^{2} - 9 x - 1$ |
$10$ |
[10,0] |
$5\cdot 61^{2}\cdot 397^{2}\cdot 401$ |
$4$ |
$16.1077732003$ |
$6968.147888786518$ |
|
|
✓ |
$C_2 \wr S_5$ (as 10T39) |
trivial |
$2$ |
$9$ |
$405.753874634$ |
10.10.1185241902869.1 |
$x^{10} - 3 x^{9} - 8 x^{8} + 25 x^{7} + 20 x^{6} - 60 x^{5} - 30 x^{4} + 47 x^{3} + 26 x^{2} - 1$ |
$10$ |
[10,0] |
$43\cdot 47\cdot 61^{2}\cdot 397^{2}$ |
$4$ |
$16.1205813563$ |
$6995.895725352116$ |
|
|
✓ |
$C_2 \wr S_5$ (as 10T39) |
trivial |
$2$ |
$9$ |
$366.770868267$ |
10.10.1230634335821.1 |
$x^{10} - x^{9} - 9 x^{8} + 7 x^{7} + 25 x^{6} - 13 x^{5} - 25 x^{4} + 7 x^{3} + 9 x^{2} - x - 1$ |
$10$ |
[10,0] |
$11^{8}\cdot 5741$ |
$2$ |
$16.1812811123$ |
$515.9503620736074$ |
|
|
✓ |
$C_2 \times (C_2^4 : C_5)$ (as 10T14) |
trivial |
$2$ |
$9$ |
$373.411226053$ |
10.10.1236714909341.1 |
$x^{10} - 11 x^{8} - 3 x^{7} + 35 x^{6} + 11 x^{5} - 41 x^{4} - 7 x^{3} + 18 x^{2} - x - 1$ |
$10$ |
[10,0] |
$877\cdot 1410165233$ |
$2$ |
$16.189258574$ |
$1112076.84507007$ |
|
|
✓ |
$S_{10}$ (as 10T45) |
trivial |
$2$ |
$9$ |
$391.1283759495338$ |