| 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 |
| 10.0.219569740488.1 |
$x^{10} - x^{8} - x^{6} + 3 x^{4} - x^{2} + 2$ |
$10$ |
[0,5] |
$-\,2^{3}\cdot 3^{2}\cdot 7^{8}\cdot 23^{2}$ |
$4$ |
$13.6193772208$ |
$111.44176220476224$ |
|
|
? |
$C_2 \wr S_5$ (as 10T39) |
trivial |
trivial |
$2$ |
$4$ |
$115.221566287$ |
| 10.2.450375078125.1 |
$x^{10} - x^{8} + 6 x^{6} - 11 x^{4} + 6 x^{2} - 5$ |
$10$ |
[2,4] |
$5^{7}\cdot 7^{8}$ |
$2$ |
$14.6338107761$ |
$15.860100510897633$ |
|
|
? |
$F_5$ (as 10T4) |
trivial |
trivial |
$2$ |
$5$ |
$113.325900164$ |
| 10.2.657216138005.1 |
$x^{10} - x^{9} - 3 x^{8} - x^{7} + 13 x^{6} - 19 x^{5} + 13 x^{4} - x^{3} - 3 x^{2} - x + 1$ |
$10$ |
[2,4] |
$5\cdot 7^{8}\cdot 151^{2}$ |
$3$ |
$15.1974534533$ |
$130.33225451034468$ |
|
|
? |
$C_2 \wr S_5$ (as 10T39) |
trivial |
trivial |
$2$ |
$5$ |
$164.131547041$ |
| 10.2.1893789011709.1 |
$x^{10} - x^{9} - 4 x^{8} - 3 x^{7} + 17 x^{6} + x^{5} - 20 x^{4} + 9 x^{3} + 11 x^{2} - 2 x - 4$ |
$10$ |
[2,4] |
$3^{3}\cdot 7^{8}\cdot 23^{3}$ |
$3$ |
$16.894026039$ |
$39.40061288118304$ |
|
|
? |
$S_5$ (as 10T13) |
trivial |
trivial |
$2$ |
$5$ |
$235.677418322$ |
| 10.2.2550163488768.1 |
$x^{10} - 3 x^{9} - x^{8} + 10 x^{7} - 2 x^{6} - 16 x^{5} + 8 x^{4} - 8 x^{3} + 8 x^{2} + 16 x - 16$ |
$10$ |
[2,4] |
$2^{14}\cdot 3^{3}\cdot 7^{8}$ |
$3$ |
$17.4043096855$ |
$32.86238283363805$ |
|
|
|
$S_5$ (as 10T13) |
trivial |
trivial |
$2$ |
$5$ |
$554.239743059$ |
| 10.2.5100326977536.1 |
$x^{10} - 2 x^{9} + 2 x^{8} - 8 x^{7} + 26 x^{6} - 20 x^{5} + 13 x^{4} - 30 x^{3} + 23 x^{2} + 20 x - 19$ |
$10$ |
[2,4] |
$2^{15}\cdot 3^{3}\cdot 7^{8}$ |
$3$ |
$18.6534772547$ |
$39.080179481705656$ |
|
|
? |
$S_{6}$ (as 10T32) |
trivial |
trivial |
$2$ |
$5$ |
$603.818540065$ |
| 10.2.5903156224000.1 |
$x^{10} - x^{9} - 4 x^{8} + 4 x^{7} + 10 x^{6} + 8 x^{5} - 6 x^{4} - 26 x^{3} - 24 x^{2} - 16 x - 4$ |
$10$ |
[2,4] |
$2^{13}\cdot 5^{3}\cdot 7^{8}$ |
$3$ |
$18.9281612761$ |
$37.79651514664337$ |
|
|
|
$S_5$ (as 10T13) |
trivial |
trivial |
$2$ |
$5$ |
$1590.24661204$ |
| 10.4.7857100934144.1 |
$x^{10} - 4 x^{9} + 2 x^{8} + 14 x^{7} - 36 x^{6} + 50 x^{5} - 26 x^{4} - 28 x^{3} + 40 x^{2} - 8 x - 4$ |
$10$ |
[4,3] |
$-\,2^{10}\cdot 7^{8}\cdot 11^{3}$ |
$3$ |
$19.4771869683$ |
$35.31640074201491$ |
|
|
? |
$S_5$ (as 10T13) |
trivial |
trivial |
$2$ |
$6$ |
$1324.88558184$ |
| 10.0.13600871940096.1 |
$x^{10} - 2 x^{9} + 2 x^{8} - 8 x^{7} + 19 x^{6} - 6 x^{5} + 6 x^{4} - 16 x^{3} + 9 x^{2} + 6 x + 2$ |
$10$ |
[0,5] |
$-\,2^{18}\cdot 3^{2}\cdot 7^{8}$ |
$3$ |
$20.5757974083$ |
$32.86238283363805$ |
|
|
? |
$S_5\times C_2$ (as 10T22) |
trivial |
trivial |
$4$ |
$4$ |
$1491.64274212$ |
| 10.0.14757890560000.1 |
$x^{10} + 3 x^{8} - 9 x^{6} - 11 x^{4} + 52 x^{2} + 4$ |
$10$ |
[0,5] |
$-\,2^{12}\cdot 5^{4}\cdot 7^{8}$ |
$3$ |
$20.7444740609$ |
$34.948759283057974$ |
|
|
? |
$S_5$ (as 10T12) |
trivial |
trivial |
$4$ |
$4$ |
$1260.45842545$ |
| 10.2.14942364192000.1 |
$x^{10} - x^{9} + x^{8} - 14 x^{7} + 33 x^{6} - 59 x^{5} + 51 x^{4} - 14 x^{3} - x^{2} - x - 1$ |
$10$ |
[2,4] |
$2^{8}\cdot 3^{4}\cdot 5^{3}\cdot 7^{8}$ |
$4$ |
$20.7702599382$ |
$31.98512542434455$ |
|
|
? |
$S_5$ (as 10T13) |
trivial |
trivial |
$2$ |
$5$ |
$644.381462651$ |
| 10.2.18447363200000.1 |
$x^{10} - x^{9} - 4 x^{8} + 11 x^{7} + 52 x^{6} + 43 x^{5} - 13 x^{4} - 26 x^{3} + 18 x^{2} + 12 x - 4$ |
$10$ |
[2,4] |
$2^{10}\cdot 5^{5}\cdot 7^{8}$ |
$3$ |
$21.2125769052$ |
$37.79651514664337$ |
|
|
|
$S_5\times C_2$ (as 10T22) |
trivial |
trivial |
$2$ |
$5$ |
$501.273175495$ |
| 10.4.19847927367751.1 |
$x^{10} - 2 x^{9} + 6 x^{8} - 6 x^{7} + 21 x^{6} - 21 x^{5} + 21 x^{4} + 18 x^{3} - 92 x^{2} + 24 x + 11$ |
$10$ |
[4,3] |
$-\,7^{8}\cdot 151^{3}$ |
$2$ |
$21.3683759622$ |
$58.28635614918686$ |
|
|
? |
$S_5$ (as 10T13) |
trivial |
trivial |
$2$ |
$6$ |
$923.928337066$ |
| 10.2.22309163036293.1 |
$x^{10} - x^{9} + 3 x^{8} - 10 x^{7} - 11 x^{6} - 20 x^{5} - 27 x^{4} - 26 x^{3} - 17 x^{2} - 9 x - 4$ |
$10$ |
[2,4] |
$7^{8}\cdot 157^{3}$ |
$2$ |
$21.6196335147$ |
$59.43308286499975$ |
|
|
? |
$S_5$ (as 10T13) |
trivial |
trivial |
$2$ |
$5$ |
$879.779946689$ |
| 10.0.23059204000000.1 |
$x^{10} - 4 x^{8} + 12 x^{6} - 11 x^{4} + 3 x^{2} + 4$ |
$10$ |
[0,5] |
$-\,2^{8}\cdot 5^{6}\cdot 7^{8}$ |
$3$ |
$21.6912425757$ |
$58.175105176502406$ |
|
|
? |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
trivial |
trivial |
$2$ |
$4$ |
$1439.90382046$ |
| 10.0.23059204000000.2 |
$x^{10} - 4 x^{8} + 5 x^{6} + 10 x^{4} - 25 x^{2} + 25$ |
$10$ |
[0,5] |
$-\,2^{8}\cdot 5^{6}\cdot 7^{8}$ |
$3$ |
$21.6912425757$ |
$58.175105176502406$ |
|
|
? |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
trivial |
trivial |
$2$ |
$4$ |
$1347.01370907$ |
| 10.4.24179327893504.1 |
$x^{10} - 4 x^{9} + 2 x^{8} - x^{6} + 8 x^{5} + 2 x^{4} - 2 x^{2} - 8 x - 4$ |
$10$ |
[4,3] |
$-\,2^{22}\cdot 7^{8}$ |
$2$ |
$21.7943751634$ |
$31.90883292885454$ |
|
|
|
$S_5$ (as 10T13) |
trivial |
trivial |
$2$ |
$6$ |
$6148.12423331$ |
| 10.0.27201743880192.1 |
$x^{10} - 8 x^{8} + 27 x^{6} - 32 x^{4} + 13 x^{2} + 2$ |
$10$ |
[0,5] |
$-\,2^{19}\cdot 3^{2}\cdot 7^{8}$ |
$3$ |
$22.0525936327$ |
$39.080179481705656$ |
|
|
? |
$S_5\times C_2$ (as 10T22) |
trivial |
trivial |
$2$ |
$4$ |
$1673.42953035$ |
| 10.2.32182583827401.1 |
$x^{10} - 3 x^{9} + 9 x^{8} - 14 x^{7} + 13 x^{6} - x^{5} + 16 x^{4} - 28 x^{3} - 16 x^{2} + 64 x - 32$ |
$10$ |
[2,4] |
$3^{4}\cdot 7^{8}\cdot 41^{3}$ |
$3$ |
$22.4265304862$ |
$52.60548000546625$ |
|
|
|
$S_5$ (as 10T13) |
trivial |
trivial |
$2$ |
$5$ |
$2043.5453458$ |
| 10.0.37780199833600.1 |
$x^{10} - 2 x^{8} - 28 x^{7} + 38 x^{6} + 112 x^{5} - 200 x^{4} + 264 x^{2} - 224 x + 64$ |
$10$ |
[0,5] |
$-\,2^{18}\cdot 5^{2}\cdot 7^{8}$ |
$3$ |
$22.7890606949$ |
$42.42515381045756$ |
|
|
|
$D_5^2 : C_2$ (as 10T21) |
trivial |
trivial |
$4$ |
$4$ |
$8199.10353937$ |
| 10.2.38305211790272.1 |
$x^{10} - 2 x^{9} - 2 x^{8} - 3 x^{7} - 8 x^{6} - 3 x^{5} - 20 x^{4} + 4 x^{3} - 5 x^{2} + 5 x - 1$ |
$10$ |
[2,4] |
$2^{6}\cdot 7^{8}\cdot 47^{3}$ |
$3$ |
$22.8205331649$ |
$65.03652926030345$ |
|
|
? |
$S_5$ (as 10T13) |
trivial |
trivial |
$2$ |
$5$ |
$1699.67690399$ |
| 10.4.38730607985664.1 |
$x^{10} - 2 x^{9} - 9 x^{8} + 18 x^{7} + 27 x^{6} - 66 x^{5} - 27 x^{4} + 102 x^{3} - 12 x^{2} - 44 x - 8$ |
$10$ |
[4,3] |
$-\,2^{10}\cdot 3^{8}\cdot 7^{8}$ |
$3$ |
$22.8457506013$ |
$28.783842083267775$ |
|
|
|
$S_5$ (as 10T13) |
trivial |
trivial |
$2$ |
$6$ |
$6018.60906706$ |
| 10.2.40489748540416.1 |
$x^{10} - 4 x^{9} + 3 x^{8} + 8 x^{7} - 14 x^{6} + 56 x^{5} - 105 x^{4} + 64 x^{3} - 81 x^{2} + 52 x - 20$ |
$10$ |
[2,4] |
$2^{10}\cdot 7^{8}\cdot 19^{3}$ |
$3$ |
$22.9474540005$ |
$58.479038843827325$ |
|
|
|
$S_5$ (as 10T13) |
trivial |
trivial |
$2$ |
$5$ |
$2354.4531703$ |
| 10.2.51876936896512.1 |
$x^{10} - 8 x^{8} - 14 x^{7} + 13 x^{6} + 42 x^{5} + 10 x^{4} - 56 x^{3} - 8 x^{2} + 16$ |
$10$ |
[2,4] |
$2^{12}\cdot 7^{8}\cdot 13^{3}$ |
$3$ |
$23.5232558667$ |
$48.37211778073476$ |
|
|
? |
$S_5$ (as 10T13) |
trivial |
trivial |
$2$ |
$5$ |
$3014.59661199$ |
| 10.2.58095911978496.1 |
$x^{10} - x^{9} + 3 x^{8} + 4 x^{7} - 4 x^{6} + 15 x^{5} + 8 x^{4} - 5 x^{3} + 18 x^{2} + 12 x + 3$ |
$10$ |
[2,4] |
$2^{9}\cdot 3^{9}\cdot 7^{8}$ |
$3$ |
$23.7911019125$ |
$48.3353524092109$ |
|
|
? |
$S_5$ (as 10T13) |
trivial |
trivial |
$2$ |
$5$ |
$3789.60025319$ |
| 10.4.59031562240000.1 |
$x^{10} - 9 x^{8} + 3 x^{6} + 73 x^{4} - 100 x^{2} + 36$ |
$10$ |
[4,3] |
$-\,2^{14}\cdot 5^{4}\cdot 7^{8}$ |
$3$ |
$23.829143229$ |
$44.03267748843359$ |
|
|
? |
$(C_2^4:A_5) : C_2$ (as 10T38) |
trivial |
$[2]$ |
$2$ |
$6$ |
$5968.37609608$ |
| 10.6.73789452800000.1 |
$x^{10} - 2 x^{9} - 9 x^{8} + 18 x^{7} + 55 x^{6} - 52 x^{5} - 230 x^{4} + 32 x^{3} + 380 x^{2} - 16 x - 176$ |
$10$ |
[6,2] |
$2^{12}\cdot 5^{5}\cdot 7^{8}$ |
$3$ |
$24.3668521963$ |
$42.42515381045756$ |
|
|
|
$D_5^2 : C_2$ (as 10T21) |
trivial |
trivial |
$2$ |
$7$ |
$3403.74873319$ |
| 10.4.86428110275584.1 |
$x^{10} - 4 x^{9} + x^{8} + 20 x^{7} - 60 x^{6} + 102 x^{5} - 99 x^{4} + 24 x^{3} + 29 x^{2} - 22 x + 4$ |
$10$ |
[4,3] |
$-\,2^{10}\cdot 7^{8}\cdot 11^{4}$ |
$3$ |
$24.7551465528$ |
$44.49587670138751$ |
|
|
|
$S_5$ (as 10T13) |
trivial |
trivial |
$2$ |
$6$ |
$4173.09471761$ |
| 10.4.92236816000000.1 |
$x^{10} - 4 x^{9} + 3 x^{8} + 8 x^{7} + 7 x^{6} - 56 x^{5} + 49 x^{4} + 64 x^{3} - 284 x^{2} + 164 x + 8$ |
$10$ |
[4,3] |
$-\,2^{10}\cdot 5^{6}\cdot 7^{8}$ |
$3$ |
$24.9166946646$ |
$34.948759283057974$ |
|
|
|
$S_5$ (as 10T13) |
trivial |
trivial |
$2$ |
$6$ |
$11370.4532602$ |
| 10.0.92236816000000.1 |
$x^{10} + 6 x^{8} - 8 x^{6} + 24 x^{4} - 22 x^{2} + 9$ |
$10$ |
[0,5] |
$-\,2^{10}\cdot 5^{6}\cdot 7^{8}$ |
$3$ |
$24.9166946646$ |
$44.85913848622377$ |
|
|
? |
$((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) |
trivial |
trivial |
$2$ |
$4$ |
$3572.89721108$ |
| 10.0.92236816000000.2 |
$x^{10} + 49$ |
$10$ |
[0,5] |
$-\,2^{10}\cdot 5^{6}\cdot 7^{8}$ |
$3$ |
$24.9166946646$ |
$31.720201021795265$ |
|
|
? |
$F_{5}\times C_2$ (as 10T5) |
trivial |
trivial |
$4$ |
$4$ |
$4807.94445939$ |
| 10.0.96717311574016.1 |
$x^{10} + 17 x^{8} + 68 x^{6} + 108 x^{4} + 52 x^{2} + 4$ |
$10$ |
[0,5] |
$-\,2^{24}\cdot 7^{8}$ |
$2$ |
$25.0351628984$ |
$31.90883292885454$ |
|
|
? |
$S_5$ (as 10T12) |
$[3]$ |
$[3]$ |
$4$ |
$4$ |
$2739.90289475$ |
| 10.2.103281621295104.1 |
$x^{10} - 4 x^{9} + 9 x^{8} - 14 x^{7} - x^{6} + 36 x^{5} - 103 x^{4} + 154 x^{3} - 156 x^{2} + 104 x - 32$ |
$10$ |
[2,4] |
$2^{13}\cdot 3^{7}\cdot 7^{8}$ |
$3$ |
$25.2001023506$ |
$38.53077092110891$ |
|
|
|
$S_5$ (as 10T13) |
trivial |
$[2]$ |
$2$ |
$5$ |
$15487.6425798$ |
| 10.0.109441143984375.1 |
$x^{10} - 5 x^{9} + 12 x^{8} - 4 x^{7} - 15 x^{6} + 3 x^{5} + 113 x^{4} - 256 x^{3} + 310 x^{2} - 201 x + 76$ |
$10$ |
[0,5] |
$-\,3^{5}\cdot 5^{7}\cdot 7^{8}$ |
$3$ |
$25.3465037725$ |
$27.47049989802381$ |
|
|
? |
$F_{5}\times C_2$ (as 10T5) |
$[2]$ |
$[2]$ |
$2$ |
$4$ |
$1895.32059162$ |
| 10.2.112212479828309.1 |
$x^{10} - x^{9} - 10 x^{8} + 20 x^{7} + 20 x^{6} - 75 x^{5} + 27 x^{4} + 69 x^{3} - 66 x^{2} + 27 x - 20$ |
$10$ |
[2,4] |
$7^{8}\cdot 269^{3}$ |
$2$ |
$25.4099678765$ |
$77.79551712672975$ |
|
|
? |
$S_5$ (as 10T13) |
trivial |
trivial |
$2$ |
$5$ |
$2494.02597273$ |
| 10.2.115296020000000.1 |
$x^{10} - x^{8} - 15 x^{6} - 25 x^{4} - 15 x^{2} - 5$ |
$10$ |
[2,4] |
$2^{8}\cdot 5^{7}\cdot 7^{8}$ |
$3$ |
$25.4789444286$ |
$65.23485151789055$ |
|
|
? |
$(C_2^4 : C_5):C_4$ (as 10T25) |
trivial |
trivial |
$2$ |
$5$ |
$3906.13807381$ |
| 10.2.115296020000000.2 |
$x^{10} - 3 x^{9} + x^{8} + 8 x^{7} - 11 x^{6} + 3 x^{5} + 13 x^{4} + 4 x^{3} - 13 x^{2} + x + 11$ |
$10$ |
[2,4] |
$2^{8}\cdot 5^{7}\cdot 7^{8}$ |
$3$ |
$25.4789444286$ |
$31.577477339614063$ |
|
|
? |
$S_5$ (as 10T13) |
trivial |
trivial |
$2$ |
$5$ |
$3219.4646147$ |
| 10.2.115296020000000.3 |
$x^{10} - 5 x^{9} + 11 x^{8} - 14 x^{7} + 31 x^{6} - 65 x^{5} + 65 x^{4} - 28 x^{3} - 123 x^{2} + 127 x - 149$ |
$10$ |
[2,4] |
$2^{8}\cdot 5^{7}\cdot 7^{8}$ |
$3$ |
$25.4789444286$ |
$31.577477339614063$ |
|
|
? |
$S_5$ (as 10T12) |
trivial |
trivial |
$2$ |
$5$ |
$1917.29576481$ |
| 10.2.115296020000000.4 |
$x^{10} - 11 x^{8} + 40 x^{6} - 60 x^{4} + 45 x^{2} - 80$ |
$10$ |
[2,4] |
$2^{8}\cdot 5^{7}\cdot 7^{8}$ |
$3$ |
$25.4789444286$ |
$65.23485151789055$ |
|
|
? |
$(C_2^4 : C_5):C_4$ (as 10T25) |
trivial |
trivial |
$2$ |
$5$ |
$6507.4496504$ |
| 10.2.115296020000000.5 |
$x^{10} + 3 x^{8} - 16 x^{6} - 18 x^{4} + 101 x^{2} - 80$ |
$10$ |
[2,4] |
$2^{8}\cdot 5^{7}\cdot 7^{8}$ |
$3$ |
$25.4789444286$ |
$44.85913848622377$ |
|
|
? |
$(C_2^4 : C_5):C_4$ (as 10T25) |
$[2]$ |
$[2]$ |
$2$ |
$5$ |
$3654.3920773$ |
| 10.2.116191823956992.1 |
$x^{10} - 2 x^{9} + 6 x^{8} - 6 x^{7} - 42 x^{5} + 35 x^{4} - 52 x^{3} + 48 x^{2} + 24 x - 24$ |
$10$ |
[2,4] |
$2^{10}\cdot 3^{9}\cdot 7^{8}$ |
$3$ |
$25.4986716743$ |
$48.3353524092109$ |
|
|
|
$S_5$ (as 10T13) |
trivial |
trivial |
$2$ |
$5$ |
$10168.5070017$ |
| 10.4.142057212022971.1 |
$x^{10} - 2 x^{9} - 9 x^{8} + 11 x^{7} + 20 x^{6} - 24 x^{5} - 6 x^{4} + 18 x^{3} + 72 x^{2} - 135 x + 27$ |
$10$ |
[4,3] |
$-\,3^{3}\cdot 7^{8}\cdot 97^{3}$ |
$3$ |
$26.016347733$ |
$80.91423388917163$ |
|
|
? |
$S_5$ (as 10T13) |
trivial |
trivial |
$2$ |
$6$ |
$6027.41699774$ |
| 10.2.143526757799488.1 |
$x^{10} - 2 x^{9} - 3 x^{8} + 7 x^{7} + 3 x^{6} - 19 x^{5} + 16 x^{4} + 35 x^{3} - 4 x^{2} - 22 x - 2$ |
$10$ |
[2,4] |
$2^{6}\cdot 7^{8}\cdot 73^{3}$ |
$3$ |
$26.0431365138$ |
$64.3319218725867$ |
|
|
? |
$S_5$ (as 10T13) |
trivial |
trivial |
$2$ |
$5$ |
$7927.44451554$ |
| 10.2.145006403507357.1 |
$x^{10} - 2 x^{9} + 6 x^{8} - 6 x^{7} + 35 x^{5} - 42 x^{4} + 18 x^{3} - 64 x^{2} - 4 x - 17$ |
$10$ |
[2,4] |
$7^{8}\cdot 293^{3}$ |
$2$ |
$26.0698611517$ |
$81.19181355141413$ |
|
|
? |
$S_5$ (as 10T13) |
trivial |
trivial |
$2$ |
$5$ |
$2787.35227672$ |
| 10.2.146823670550592.1 |
$x^{10} - x^{9} + 4 x^{8} + 13 x^{7} + 6 x^{6} - 5 x^{5} - 15 x^{4} - 50 x^{3} - 52 x^{2} - 22 x + 8$ |
$10$ |
[2,4] |
$2^{6}\cdot 3^{4}\cdot 7^{8}\cdot 17^{3}$ |
$4$ |
$26.1023499393$ |
$53.77125635922977$ |
|
|
? |
$S_5$ (as 10T13) |
trivial |
trivial |
$2$ |
$5$ |
$7236.67089285$ |
| 10.4.149423641920000.1 |
$x^{10} - 3 x^{9} - 8 x^{8} + 31 x^{7} - 2 x^{6} - 58 x^{5} - 6 x^{4} + 55 x^{3} + 29 x^{2} - 12 x - 9$ |
$10$ |
[4,3] |
$-\,2^{9}\cdot 3^{4}\cdot 5^{4}\cdot 7^{8}$ |
$4$ |
$26.1482080458$ |
$51.95998954735723$ |
|
|
? |
$S_5$ (as 10T13) |
trivial |
trivial |
$2$ |
$6$ |
$8104.62820115$ |
| 10.0.154922431942656.1 |
$x^{10} - 2 x^{9} + 2 x^{8} - 8 x^{7} + 33 x^{6} - 20 x^{5} + 6 x^{4} - 2 x^{3} + 16 x^{2} - 8 x + 2$ |
$10$ |
[0,5] |
$-\,2^{12}\cdot 3^{8}\cdot 7^{8}$ |
$3$ |
$26.2428761344$ |
$28.783842083267775$ |
|
|
? |
$S_5$ (as 10T12) |
trivial |
trivial |
$4$ |
$4$ |
$6543.88117011$ |
| 10.2.188900999168000.1 |
$x^{10} - 2 x^{9} - 5 x^{8} + 20 x^{7} - 23 x^{6} - 6 x^{5} + 55 x^{4} - 44 x^{3} + 30 x^{2} - 8 x + 2$ |
$10$ |
[2,4] |
$2^{18}\cdot 5^{3}\cdot 7^{8}$ |
$3$ |
$26.7684623874$ |
$47.620625045926396$ |
|
|
? |
$S_5$ (as 10T13) |
trivial |
trivial |
$2$ |
$5$ |
$7369.54703889$ |
| 10.2.190677486008961.1 |
$x^{10} - 3 x^{9} - x^{8} + 3 x^{7} - 30 x^{6} - 23 x^{5} + 113 x^{4} - 50 x^{3} - 69 x^{2} + 51 x - 9$ |
$10$ |
[2,4] |
$3^{3}\cdot 7^{8}\cdot 107^{3}$ |
$3$ |
$26.7935304213$ |
$84.98278281106084$ |
|
|
? |
$S_5$ (as 10T13) |
trivial |
trivial |
$2$ |
$5$ |
$4447.47004965$ |
| 10.0.193434623148032.1 |
$x^{10} - 2 x^{9} + 9 x^{8} - 8 x^{7} + 68 x^{6} - 104 x^{5} + 244 x^{4} - 72 x^{3} + 65 x^{2} + 6 x + 9$ |
$10$ |
[0,5] |
$-\,2^{25}\cdot 7^{8}$ |
$2$ |
$26.8320232248$ |
$31.90883292885454$ |
|
|
? |
$S_5\times C_2$ (as 10T22) |
trivial |
trivial |
$2$ |
$4$ |
$2634.47755686$ |
