| Label |
Polynomial |
Degree |
Signature |
Discriminant |
Ram. prime count |
Root discriminant |
Galois root discriminant |
CM field |
Galois |
Monogenic |
Galois group |
Class group |
Narrow class group |
Unit group torsion |
Unit group rank |
Regulator |
Unit signature rank |
Max $p$ |
| 10.4.17748440064.1 |
$x^{10} - 2 x^{9} + 3 x^{8} - 5 x^{6} + 10 x^{5} - 10 x^{4} + 6 x^{3} - x^{2} - 2 x + 1$ |
$10$ |
(4, 3) |
$-\,2^{10}\cdot 3^{5}\cdot 71327$ |
$3$ |
$10.5904891307$ |
$925.1616075043322$ |
|
|
✓ |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$[2]$ |
$2$ |
$6$ |
$14.4167037225$ |
$3$ |
$71327$ |
| 10.4.21009134592.1 |
$x^{10} - 2 x^{9} + 2 x^{8} - 2 x^{7} - x^{6} + 2 x^{5} - 3 x^{4} + 2 x^{3} + x^{2} + 1$ |
$10$ |
(4, 3) |
$-\,2^{10}\cdot 3^{5}\cdot 84431$ |
$3$ |
$10.7706227922$ |
$1006.5644539720246$ |
|
|
✓ |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$[2]$ |
$2$ |
$6$ |
$15.4345453407$ |
$3$ |
$84431$ |
| 10.4.27707692032.1 |
$x^{10} - x^{8} - 2 x^{7} + 5 x^{6} + 2 x^{5} - 10 x^{4} + 6 x^{3} + 3 x^{2} - 4 x + 1$ |
$10$ |
(4, 3) |
$-\,2^{10}\cdot 3^{6}\cdot 37117$ |
$3$ |
$11.0728657685$ |
$878.3292992348645$ |
|
|
✓ |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$[2]$ |
$2$ |
$6$ |
$22.5813418025$ |
$3$ |
$37117$ |
| 10.2.28259601408.1 |
$x^{10} - 2 x^{9} + 2 x^{8} - 4 x^{6} + 4 x^{5} - 5 x^{4} + 6 x^{3} - 2 x + 1$ |
$10$ |
(2, 4) |
$2^{10}\cdot 3^{5}\cdot 337^{2}$ |
$3$ |
$11.0947265624$ |
$63.592452382338585$ |
|
|
? |
$D_5^2 : C_2$ (as 10T21) |
trivial |
$[2]$ |
$2$ |
$5$ |
$15.0881850067$ |
$1$ |
$337$ |
| 10.4.29728207872.1 |
$x^{10} - 5 x^{8} - 2 x^{7} + 8 x^{6} + 4 x^{5} - 3 x^{4} - x^{2} - 2 x + 1$ |
$10$ |
(4, 3) |
$-\,2^{10}\cdot 3^{5}\cdot 11\cdot 10861$ |
$4$ |
$11.1510784946$ |
$1197.3520785466571$ |
|
|
✓ |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$[2]$ |
$2$ |
$6$ |
$18.9439200061$ |
$3$ |
$10861$ |
| 10.6.29782453248.1 |
$x^{10} - 5 x^{8} - 4 x^{7} + 5 x^{6} + 14 x^{5} + 6 x^{4} - 12 x^{3} - 7 x^{2} + 2 x + 1$ |
$10$ |
(6, 2) |
$2^{10}\cdot 3^{5}\cdot 119689$ |
$3$ |
$11.1531115749$ |
$1198.4439911818993$ |
|
|
? |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$[2]$ |
$2$ |
$7$ |
$24.701090855$ |
$5$ |
$119689$ |
| 10.4.33341248512.1 |
$x^{10} - 2 x^{9} - 2 x^{8} + 10 x^{7} - 3 x^{6} - 14 x^{5} + 11 x^{4} + 8 x^{3} - 7 x^{2} - 2 x + 1$ |
$10$ |
(4, 3) |
$-\,2^{10}\cdot 3^{5}\cdot 11\cdot 13\cdot 937$ |
$5$ |
$11.279716538$ |
$1268.026813596621$ |
|
|
✓ |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$[2]$ |
$2$ |
$6$ |
$20.4396763871$ |
$3$ |
$937$ |
| 10.2.34112130048.1 |
$x^{10} - 4 x^{9} + 9 x^{8} - 12 x^{7} + 7 x^{6} - 4 x^{5} + 2 x^{4} - x^{2} + 2 x + 1$ |
$10$ |
(2, 4) |
$2^{10}\cdot 3^{5}\cdot 137089$ |
$3$ |
$11.3055288835$ |
$1282.6020427240867$ |
|
|
? |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$[2]$ |
$2$ |
$5$ |
$15.9146048657$ |
$1$ |
$137089$ |
| 10.2.35157224448.1 |
$x^{10} - 2 x^{9} + 5 x^{8} - 8 x^{7} + 7 x^{6} - 8 x^{5} + 6 x^{4} - 3 x^{2} + 2 x + 1$ |
$10$ |
(2, 4) |
$2^{10}\cdot 3^{5}\cdot 23\cdot 6143$ |
$4$ |
$11.3396972068$ |
$1302.1013785416249$ |
|
|
? |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$[2]$ |
$2$ |
$5$ |
$20.0477481498$ |
$1$ |
$6143$ |
| 10.2.36477029376.1 |
$x^{10} - 3 x^{8} - 4 x^{7} + 5 x^{6} + 6 x^{5} + x^{4} - 4 x^{3} - 2 x^{2} - 3$ |
$10$ |
(2, 4) |
$2^{10}\cdot 3^{5}\cdot 47\cdot 3119$ |
$4$ |
$11.3815640384$ |
$1326.316704260336$ |
|
|
? |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$[2]$ |
$2$ |
$5$ |
$26.8716716953$ |
$1$ |
$3119$ |
| 10.2.37014506496.1 |
$x^{10} - 4 x^{9} + 3 x^{8} + 6 x^{7} - 7 x^{6} - 4 x^{5} + 5 x^{4} - 2 x^{3} + 2 x^{2} + 1$ |
$10$ |
(2, 4) |
$2^{10}\cdot 3^{5}\cdot 11\cdot 13523$ |
$4$ |
$11.3982242306$ |
$1336.0523941822041$ |
|
|
? |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$[2]$ |
$2$ |
$5$ |
$27.118694494$ |
$1$ |
$13523$ |
| 10.4.41481040896.1 |
$x^{10} - 4 x^{9} + 6 x^{8} - 2 x^{7} - 8 x^{6} + 10 x^{5} - 3 x^{4} - 4 x^{3} + 2 x^{2} + 2 x + 1$ |
$10$ |
(4, 3) |
$-\,2^{10}\cdot 3^{5}\cdot 166703$ |
$3$ |
$11.5288228138$ |
$1414.3677032511737$ |
|
|
? |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$[2]$ |
$2$ |
$6$ |
$28.5485133483$ |
$3$ |
$166703$ |
| 10.4.42548032512.1 |
$x^{10} - 2 x^{9} - 3 x^{6} + 6 x^{5} + 6 x^{2} + 4 x + 1$ |
$10$ |
(4, 3) |
$-\,2^{10}\cdot 3^{9}\cdot 2111$ |
$3$ |
$11.5581399364$ |
$246.9922017544896$ |
|
|
? |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$[2]$ |
$2$ |
$6$ |
$30.0155419674$ |
$3$ |
$2111$ |
| 10.6.42717735936.1 |
$x^{10} - 2 x^{9} + 2 x^{8} - 2 x^{7} - x^{6} - 4 x^{5} + 14 x^{3} - 2 x^{2} - 6 x + 1$ |
$10$ |
(6, 2) |
$2^{10}\cdot 3^{5}\cdot 171673$ |
$3$ |
$11.5627416635$ |
$1435.2964850510853$ |
|
|
? |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$[2]$ |
$2$ |
$7$ |
$30.8560972205$ |
$5$ |
$171673$ |
| 10.2.43135773696.1 |
$x^{10} - 2 x^{9} + x^{8} + 2 x^{7} - 5 x^{6} + 4 x^{5} - 3 x^{4} + 6 x^{3} + 4 x^{2} + 1$ |
$10$ |
(2, 4) |
$2^{10}\cdot 3^{5}\cdot 229\cdot 757$ |
$4$ |
$11.5740074935$ |
$1442.3023261438636$ |
|
|
? |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$[2]$ |
$2$ |
$5$ |
$28.7416142669$ |
$1$ |
$757$ |
| 10.2.44927364096.1 |
$x^{10} - 4 x^{9} + 9 x^{8} - 14 x^{7} + 20 x^{6} - 26 x^{5} + 27 x^{4} - 16 x^{3} + x^{2} + 6 x - 3$ |
$10$ |
(2, 4) |
$2^{10}\cdot 3^{5}\cdot 71\cdot 2543$ |
$4$ |
$11.6212031706$ |
$1471.9497274024002$ |
|
|
✓ |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$[2]$ |
$2$ |
$5$ |
$23.4061429636$ |
$1$ |
$2543$ |
| 10.4.46957335552.1 |
$x^{10} - 3 x^{6} - 2 x^{5} + 12 x^{4} - 12 x^{2} + 1$ |
$10$ |
(4, 3) |
$-\,2^{10}\cdot 3^{5}\cdot 188711$ |
$3$ |
$11.6726736806$ |
$1504.8362037112213$ |
|
|
? |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$[2]$ |
$2$ |
$6$ |
$31.8006071252$ |
$3$ |
$188711$ |
| 10.2.48882797568.1 |
$x^{10} - 4 x^{9} + 7 x^{8} - 8 x^{7} + 7 x^{6} - 4 x^{5} + x^{2} + 1$ |
$10$ |
(2, 4) |
$2^{10}\cdot 3^{6}\cdot 11\cdot 5953$ |
$4$ |
$11.7196759958$ |
$1166.6355885127084$ |
|
|
✓ |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$[2]$ |
$2$ |
$5$ |
$24.3640017475$ |
$1$ |
$5953$ |
| 10.4.51846386688.1 |
$x^{10} - 4 x^{9} + 5 x^{8} - 7 x^{6} + 4 x^{5} + 6 x^{4} - 2 x^{3} - x^{2} - 2 x + 1$ |
$10$ |
(4, 3) |
$-\,2^{10}\cdot 3^{8}\cdot 7717$ |
$3$ |
$11.7888610655$ |
$652.6030179083949$ |
|
|
? |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$[2]$ |
$2$ |
$6$ |
$35.102201265$ |
$3$ |
$7717$ |
| 10.4.53144294400.1 |
$x^{10} - 2 x^{9} - 2 x^{8} + 2 x^{7} + 6 x^{6} + 2 x^{5} - 9 x^{4} - 4 x^{3} + 2 x^{2} + 4 x + 1$ |
$10$ |
(4, 3) |
$-\,2^{10}\cdot 3^{5}\cdot 5^{2}\cdot 8543$ |
$4$ |
$11.8180456858$ |
$715.946925407184$ |
|
|
✓ |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$[2]$ |
$2$ |
$6$ |
$34.246810022$ |
$3$ |
$8543$ |
| 10.4.53854958592.1 |
$x^{10} - 2 x^{9} + 2 x^{7} + 2 x^{6} - 2 x^{5} - 5 x^{4} + 2 x^{2} + 2 x + 1$ |
$10$ |
(4, 3) |
$-\,2^{10}\cdot 3^{5}\cdot 216431$ |
$3$ |
$11.8337548912$ |
$1611.5743855000924$ |
|
|
✓ |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$[2]$ |
$2$ |
$6$ |
$26.5730655704$ |
$3$ |
$216431$ |
| 10.4.55288230912.1 |
$x^{10} - 2 x^{9} - 3 x^{8} + 12 x^{7} - 8 x^{6} - 8 x^{5} + 5 x^{4} + 6 x^{3} - x^{2} - 2 x + 1$ |
$10$ |
(4, 3) |
$-\,2^{10}\cdot 3^{5}\cdot 83\cdot 2677$ |
$4$ |
$11.8648777928$ |
$1632.878440056087$ |
|
|
? |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$[2]$ |
$2$ |
$6$ |
$28.263854194$ |
$3$ |
$2677$ |
| 10.6.56434224128.1 |
$x^{10} - 4 x^{7} - 2 x^{6} + 5 x^{4} + 6 x^{3} - 4 x^{2} - 2 x + 1$ |
$10$ |
(6, 2) |
$2^{10}\cdot 941\cdot 58567$ |
$3$ |
$11.8892444325$ |
$14847.430350063947$ |
|
|
✓ |
$S_{10}$ (as 10T45) |
trivial |
$[2]$ |
$2$ |
$7$ |
$35.26930326078311$ |
$5$ |
$58567$ |
| 10.4.57229120512.1 |
$x^{10} - 4 x^{7} - 3 x^{6} + 4 x^{5} + 4 x^{4} + 6 x^{3} - 8 x^{2} + 1$ |
$10$ |
(4, 3) |
$-\,2^{10}\cdot 3^{5}\cdot 349\cdot 659$ |
$4$ |
$11.9058856533$ |
$1661.2922680852998$ |
|
|
? |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$[2]$ |
$2$ |
$6$ |
$28.2960414736$ |
$3$ |
$659$ |
| 10.4.59731375104.1 |
$x^{10} - 2 x^{9} + 4 x^{8} - 4 x^{7} + 3 x^{6} - x^{4} - 4 x^{3} - 3 x^{2} + 2 x + 1$ |
$10$ |
(4, 3) |
$-\,2^{10}\cdot 3^{5}\cdot 240047$ |
$3$ |
$11.9569455432$ |
$1697.2224368066786$ |
|
|
? |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$[2]$ |
$2$ |
$6$ |
$37.137961503$ |
$3$ |
$240047$ |
| 10.4.59970253824.1 |
$x^{10} - x^{8} - 2 x^{6} - 4 x^{5} - 3 x^{4} + 2 x^{3} + 9 x^{2} + 6 x + 1$ |
$10$ |
(4, 3) |
$-\,2^{10}\cdot 3^{5}\cdot 13\cdot 18539$ |
$4$ |
$11.9617188011$ |
$1700.6128307172094$ |
|
|
? |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$[2]$ |
$2$ |
$6$ |
$36.6610902371$ |
$3$ |
$18539$ |
| 10.4.60077749248.1 |
$x^{10} - 2 x^{9} - 4 x^{8} + 14 x^{7} - 7 x^{6} - 14 x^{5} + 18 x^{4} - 2 x^{3} - 8 x^{2} + 4 x + 1$ |
$10$ |
(4, 3) |
$-\,2^{10}\cdot 3^{5}\cdot 11\cdot 47\cdot 467$ |
$5$ |
$11.9638611866$ |
$1702.1363047652794$ |
|
|
? |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$[2]$ |
$2$ |
$6$ |
$29.5982824704$ |
$3$ |
$467$ |
| 10.2.60603780096.1 |
$x^{10} - 4 x^{9} + 7 x^{8} - 4 x^{7} - 4 x^{6} + 10 x^{5} - 7 x^{4} + x^{2} + 1$ |
$10$ |
(2, 4) |
$2^{10}\cdot 3^{5}\cdot 243553$ |
$3$ |
$11.9742954991$ |
$1709.5718762310055$ |
|
|
? |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$[2]$ |
$2$ |
$5$ |
$28.3440468603$ |
$1$ |
$243553$ |
| 10.4.61546853376.1 |
$x^{10} - 4 x^{9} + 4 x^{8} - 2 x^{7} + 9 x^{6} - 14 x^{5} + 18 x^{4} - 26 x^{3} + 14 x^{2} - 4 x + 1$ |
$10$ |
(4, 3) |
$-\,2^{10}\cdot 3^{5}\cdot 247343$ |
$3$ |
$11.9927998418$ |
$1722.822103410564$ |
|
|
? |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$[2]$ |
$2$ |
$6$ |
$37.2635769477$ |
$3$ |
$247343$ |
| 10.2.62765632512.1 |
$x^{10} - x^{8} - 2 x^{6} - 2 x^{5} + 3 x^{4} - 2 x^{3} + 3 x^{2} + 1$ |
$10$ |
(2, 4) |
$2^{10}\cdot 3^{5}\cdot 11\cdot 23\cdot 997$ |
$5$ |
$12.0163395258$ |
$1739.7965398287238$ |
|
|
? |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$[2]$ |
$2$ |
$5$ |
$27.2846519298$ |
$1$ |
$997$ |
| 10.6.63165754368.1 |
$x^{10} - 2 x^{9} - 2 x^{8} + 10 x^{7} - 7 x^{6} - 10 x^{5} + 14 x^{4} - 8 x^{2} + 1$ |
$10$ |
(6, 2) |
$2^{10}\cdot 3^{5}\cdot 97\cdot 2617$ |
$4$ |
$12.0239778824$ |
$1745.333206009672$ |
|
|
✓ |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$[2]$ |
$2$ |
$7$ |
$48.5395859596$ |
$5$ |
$2617$ |
| 10.2.64192932864.1 |
$x^{10} - 4 x^{9} + 5 x^{8} + 4 x^{7} - 19 x^{6} + 18 x^{5} + x^{4} - 8 x^{3} - 2 x^{2} + 4 x + 1$ |
$10$ |
(2, 4) |
$2^{10}\cdot 3^{5}\cdot 107\cdot 2411$ |
$4$ |
$12.0433892105$ |
$1759.4669647367637$ |
|
|
? |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$[2]$ |
$2$ |
$5$ |
$36.9320933004$ |
$1$ |
$2411$ |
| 10.4.65649595392.1 |
$x^{10} - 2 x^{9} - 3 x^{8} + 8 x^{7} - 6 x^{5} - x^{4} + 2 x^{3} + x^{2} + 1$ |
$10$ |
(4, 3) |
$-\,2^{10}\cdot 3^{5}\cdot 193\cdot 1367$ |
$4$ |
$12.0704428848$ |
$1779.3178468165827$ |
|
|
✓ |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$[2]$ |
$2$ |
$6$ |
$37.4325905532$ |
$3$ |
$1367$ |
| 10.4.66419979264.1 |
$x^{10} - 2 x^{9} + 2 x^{7} - 3 x^{6} + 2 x^{5} - 3 x^{4} + 4 x^{3} - x^{2} + 1$ |
$10$ |
(4, 3) |
$-\,2^{10}\cdot 3^{5}\cdot 266927$ |
$3$ |
$12.0845330436$ |
$1789.727353537404$ |
|
|
? |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$[2]$ |
$2$ |
$6$ |
$31.5981709854$ |
$3$ |
$266927$ |
| 10.6.66611178496.1 |
$x^{10} - 2 x^{9} - x^{8} + 8 x^{7} - 5 x^{6} - 6 x^{5} + 6 x^{4} - 6 x^{3} - 5 x^{2} + 2 x + 1$ |
$10$ |
(6, 2) |
$2^{10}\cdot 2081\cdot 31259$ |
$3$ |
$12.088007248$ |
$16130.713437414974$ |
|
|
? |
$S_{10}$ (as 10T45) |
trivial |
$[2]$ |
$2$ |
$7$ |
$41.31038152499715$ |
$5$ |
$31259$ |
| 10.4.67220222976.1 |
$x^{10} - 4 x^{8} - 2 x^{7} + 6 x^{6} + 8 x^{5} - 15 x^{4} + 2 x^{3} + 6 x^{2} - 2 x + 1$ |
$10$ |
(4, 3) |
$-\,2^{10}\cdot 3^{5}\cdot 270143$ |
$3$ |
$12.099014435$ |
$1800.476603569177$ |
|
|
? |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$[2]$ |
$2$ |
$6$ |
$31.6806717885$ |
$3$ |
$270143$ |
| 10.4.67912971264.1 |
$x^{10} - 4 x^{9} + 5 x^{8} + 2 x^{7} - 16 x^{6} + 22 x^{5} - 9 x^{4} - 8 x^{3} + 13 x^{2} - 6 x + 1$ |
$10$ |
(4, 3) |
$-\,2^{10}\cdot 3^{5}\cdot 272927$ |
$3$ |
$12.1114258093$ |
$1809.7303666568675$ |
|
|
? |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$[2]$ |
$2$ |
$6$ |
$31.4784070137$ |
$3$ |
$272927$ |
| 10.4.68510168064.1 |
$x^{10} - 4 x^{9} + 7 x^{8} - 2 x^{7} - 9 x^{6} + 14 x^{5} - 2 x^{4} - 8 x^{3} + 7 x^{2} - 3$ |
$10$ |
(4, 3) |
$-\,2^{10}\cdot 3^{5}\cdot 13\cdot 21179$ |
$4$ |
$12.1220341535$ |
$1817.6699370347742$ |
|
|
✓ |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$[2]$ |
$2$ |
$6$ |
$40.3595250979$ |
$3$ |
$21179$ |
| 10.6.68573735936.1 |
$x^{10} - 2 x^{9} - x^{8} + 6 x^{7} - 3 x^{6} - 12 x^{5} + 9 x^{4} + 12 x^{3} - 6 x^{2} - 4 x + 1$ |
$10$ |
(6, 2) |
$2^{10}\cdot 29\cdot 271\cdot 8521$ |
$4$ |
$12.1231584397$ |
$16366.617121445714$ |
|
|
✓ |
$S_{10}$ (as 10T45) |
trivial |
$[2]$ |
$2$ |
$7$ |
$43.92049724531165$ |
$5$ |
$8521$ |
| 10.6.68785376256.1 |
$x^{10} - 4 x^{9} + 5 x^{8} - 9 x^{6} + 14 x^{5} - 7 x^{4} - 4 x^{3} + 10 x^{2} - 6 x + 1$ |
$10$ |
(6, 2) |
$2^{10}\cdot 3^{5}\cdot 491\cdot 563$ |
$4$ |
$12.126894845$ |
$1821.3171058330288$ |
|
|
✓ |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$[2]$ |
$2$ |
$7$ |
$40.7484282077$ |
$5$ |
$563$ |
| 10.2.69038189568.1 |
$x^{10} - x^{8} - 4 x^{7} + 2 x^{6} - 2 x^{5} - x^{4} + 6 x^{3} + 3 x^{2} + 4 x + 1$ |
$10$ |
(2, 4) |
$2^{10}\cdot 3^{6}\cdot 23\cdot 4021$ |
$4$ |
$12.1313446012$ |
$1386.442590963185$ |
|
|
? |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$[2]$ |
$2$ |
$5$ |
$29.3377415973$ |
$1$ |
$4021$ |
| 10.2.69346741248.1 |
$x^{10} + x^{8} - 3 x^{6} - 4 x^{5} - 5 x^{4} - 2 x^{3} + 4 x^{2} - 4 x + 1$ |
$10$ |
(2, 4) |
$2^{10}\cdot 3^{5}\cdot 278689$ |
$3$ |
$12.1367555771$ |
$1828.7339883099455$ |
|
|
? |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$[2]$ |
$2$ |
$5$ |
$38.4323369621$ |
$1$ |
$278689$ |
| 10.4.69421888512.1 |
$x^{10} - 2 x^{9} + 3 x^{8} - 3 x^{6} + 6 x^{5} - 6 x^{4} + 12 x^{3} - 9 x^{2} - 2 x + 1$ |
$10$ |
(4, 3) |
$-\,2^{10}\cdot 3^{8}\cdot 10333$ |
$3$ |
$12.13807013$ |
$531.648151538369$ |
|
|
? |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$[2]$ |
$2$ |
$6$ |
$50.380254772$ |
$3$ |
$10333$ |
| 10.6.70606826496.1 |
$x^{10} - 2 x^{9} - 2 x^{8} + 6 x^{7} - 10 x^{6} + 12 x^{5} - 5 x^{4} + 4 x^{2} - 4 x + 1$ |
$10$ |
(6, 2) |
$2^{10}\cdot 3^{5}\cdot 37\cdot 7669$ |
$4$ |
$12.1586307443$ |
$1845.2739633994731$ |
|
|
? |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$[2]$ |
$2$ |
$7$ |
$40.998865546$ |
$5$ |
$7669$ |
| 10.2.70845705216.1 |
$x^{10} + x^{8} - 4 x^{7} + x^{6} + 7 x^{4} - 2 x^{3} - 4 x^{2} + 1$ |
$10$ |
(2, 4) |
$2^{10}\cdot 3^{5}\cdot 11^{2}\cdot 13\cdot 181$ |
$5$ |
$12.1627380324$ |
$557.31140307731$ |
|
|
? |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$[2]$ |
$2$ |
$5$ |
$25.3293440869$ |
$1$ |
$181$ |
| 10.4.72318292992.1 |
$x^{10} - 4 x^{9} + 4 x^{8} + 4 x^{7} - 11 x^{6} + 8 x^{5} - 6 x^{3} + 4 x^{2} + 1$ |
$10$ |
(4, 3) |
$-\,2^{10}\cdot 3^{6}\cdot 11\cdot 8807$ |
$4$ |
$12.187785905$ |
$1418.9963470771168$ |
|
|
✓ |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$[2]$ |
$2$ |
$6$ |
$39.8264146762$ |
$3$ |
$8807$ |
| 10.2.72782613504.1 |
$x^{10} - x^{8} - 2 x^{7} + 2 x^{6} - 4 x^{5} - x^{4} - 6 x^{3} - 3 x^{2} + 2 x + 1$ |
$10$ |
(2, 4) |
$2^{10}\cdot 3^{6}\cdot 97499$ |
$3$ |
$12.1955885711$ |
$1423.54440051791$ |
|
|
? |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$[2]$ |
$2$ |
$5$ |
$29.8538042878$ |
$1$ |
$97499$ |
| 10.4.73293714432.1 |
$x^{10} - 2 x^{9} + 4 x^{8} - 8 x^{7} + 6 x^{6} - 2 x^{5} - x^{4} + 8 x^{3} - 4 x^{2} - 2 x + 1$ |
$10$ |
(4, 3) |
$-\,2^{10}\cdot 3^{5}\cdot 294551$ |
$3$ |
$12.2041257291$ |
$1880.0563821332594$ |
|
|
? |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$[2]$ |
$2$ |
$6$ |
$30.6590053549$ |
$3$ |
$294551$ |
| 10.2.78674955264.1 |
$x^{10} - 4 x^{9} + 7 x^{8} - 6 x^{7} - 2 x^{6} + 12 x^{5} - 13 x^{4} + 6 x^{3} + x^{2} - 2 x + 1$ |
$10$ |
(2, 4) |
$2^{10}\cdot 3^{5}\cdot 316177$ |
$3$ |
$12.2908990163$ |
$1947.8511236744969$ |
|
|
✓ |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$[2]$ |
$2$ |
$5$ |
$23.560739987$ |
$1$ |
$316177$ |
| 10.4.79677748224.1 |
$x^{10} - 4 x^{9} + 6 x^{8} - 11 x^{6} + 8 x^{5} + 5 x^{4} - 6 x^{3} - x^{2} + 2 x + 1$ |
$10$ |
(4, 3) |
$-\,2^{10}\cdot 3^{5}\cdot 19^{2}\cdot 887$ |
$4$ |
$12.3064758901$ |
$449.7065709993573$ |
|
|
✓ |
$S_5^2 \wr C_2$ (as 10T43) |
trivial |
$[2]$ |
$2$ |
$6$ |
$32.1519235621$ |
$3$ |
$887$ |
