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 |
10.0.5841576387.1 |
$x^{10} - x^{9} + 5 x^{8} - 3 x^{7} + 8 x^{6} - 4 x^{5} + 4 x^{4} - 3 x^{3} - x + 1$ |
$10$ |
[0,5] |
$-\,3^{5}\cdot 4903^{2}$ |
$2$ |
$9.47660995533$ |
$499.88321714670144$ |
|
|
|
$A_5 \wr C_2$ (as 10T40) |
trivial |
$6$ |
$4$ |
$17.459529294$ |
10.2.6381378125.1 |
$x^{10} - 4 x^{9} + 8 x^{8} - 12 x^{7} + 18 x^{6} - 21 x^{5} + 18 x^{4} - 9 x^{3} + x^{2} + 2 x - 1$ |
$10$ |
[2,4] |
$5^{5}\cdot 1429^{2}$ |
$2$ |
$9.56073867945$ |
$283.68725261144783$ |
|
|
? |
$A_5 \wr C_2$ (as 10T40) |
trivial |
$2$ |
$5$ |
$5.7939417942$ |
10.2.6652128125.1 |
$x^{10} - x^{9} - x^{8} + x^{7} - 2 x^{6} - 2 x^{3} + 3 x^{2} - x + 1$ |
$10$ |
[2,4] |
$5^{5}\cdot 1459^{2}$ |
$2$ |
$9.60054882319$ |
$287.6439187375833$ |
|
|
? |
$A_5 \wr C_2$ (as 10T40) |
trivial |
$2$ |
$5$ |
$7.21599783984$ |
10.2.8160800000.1 |
$x^{10} - 3 x^{9} + 5 x^{8} - 10 x^{7} + 13 x^{6} - 11 x^{5} + 9 x^{4} - 8 x^{3} + 3 x^{2} + x - 1$ |
$10$ |
[2,4] |
$2^{8}\cdot 5^{5}\cdot 101^{2}$ |
$3$ |
$9.79880857233$ |
$118.72157854114577$ |
|
|
|
$A_5 \wr C_2$ (as 10T40) |
trivial |
$2$ |
$5$ |
$8.83945214246$ |
10.0.8171701443.1 |
$x^{10} - x^{9} - 4 x^{8} - 4 x^{7} + 7 x^{6} + 12 x^{5} + 13 x^{4} + 5 x^{3} + 2 x^{2} - x + 1$ |
$10$ |
[0,5] |
$-\,3^{7}\cdot 1933^{2}$ |
$2$ |
$9.80011674058$ |
$353.7220856332764$ |
|
|
? |
$A_5 \wr C_2$ (as 10T40) |
trivial |
$6$ |
$4$ |
$21.9800414024$ |
10.2.8394753125.1 |
$x^{10} - 2 x^{9} + 2 x^{8} - 5 x^{7} + 6 x^{6} - 7 x^{5} + 10 x^{4} - 7 x^{3} + 5 x^{2} - 3 x + 1$ |
$10$ |
[2,4] |
$5^{5}\cdot 11^{2}\cdot 149^{2}$ |
$3$ |
$9.82654376839$ |
$310.8405279223682$ |
|
|
? |
$A_5 \wr C_2$ (as 10T40) |
trivial |
$2$ |
$5$ |
$6.60446640562$ |
10.0.12759961600.1 |
$x^{10} - 2 x^{7} + 3 x^{6} - 2 x^{5} + 3 x^{4} - 2 x^{3} + 4 x^{2} - 2 x + 1$ |
$10$ |
[0,5] |
$-\,2^{12}\cdot 5^{2}\cdot 353^{2}$ |
$3$ |
$10.2467216003$ |
$368.01862697145066$ |
|
|
? |
$A_5 \wr C_2$ (as 10T40) |
trivial |
$4$ |
$4$ |
$27.7323769466$ |
10.2.14512578125.1 |
$x^{10} - x^{9} + 4 x^{8} - 6 x^{7} + 7 x^{6} - 10 x^{5} + 8 x^{4} - 7 x^{3} + 3 x^{2} - x + 1$ |
$10$ |
[2,4] |
$5^{7}\cdot 431^{2}$ |
$2$ |
$10.3794527703$ |
$218.16907169451176$ |
|
|
? |
$A_5 \wr C_2$ (as 10T40) |
trivial |
$2$ |
$5$ |
$10.1840820121$ |
10.0.14753809152.1 |
$x^{10} - x^{9} + 3 x^{8} + 4 x^{6} + 8 x^{5} + 8 x^{4} + 12 x^{3} + 11 x^{2} + 5 x + 1$ |
$10$ |
[0,5] |
$-\,2^{8}\cdot 3^{5}\cdot 487^{2}$ |
$3$ |
$10.3965779985$ |
$240.68457778280663$ |
|
|
|
$A_5 \wr C_2$ (as 10T40) |
trivial |
$6$ |
$4$ |
$28.3168556626$ |
10.2.14974128125.1 |
$x^{10} - 3 x^{9} + 7 x^{8} - 9 x^{7} + 9 x^{6} - 7 x^{5} + 3 x^{4} + 4 x^{3} - 5 x^{2} + 1$ |
$10$ |
[2,4] |
$5^{5}\cdot 11^{2}\cdot 199^{2}$ |
$3$ |
$10.4119998812$ |
$376.9775693373212$ |
|
|
|
$A_5 \wr C_2$ (as 10T40) |
trivial |
$2$ |
$5$ |
$13.1331358873$ |
10.0.15462704547.1 |
$x^{10} - 2 x^{9} + 8 x^{8} - 11 x^{7} + 22 x^{6} - 18 x^{5} + 22 x^{4} - 8 x^{3} + 8 x^{2} - 2 x + 1$ |
$10$ |
[0,5] |
$-\,3^{7}\cdot 2659^{2}$ |
$2$ |
$10.4454834612$ |
$437.50850429461116$ |
|
|
? |
$A_5 \wr C_2$ (as 10T40) |
trivial |
$6$ |
$4$ |
$33.5800056814$ |
10.0.16139161600.1 |
$x^{10} - 4 x^{9} + 7 x^{8} - 6 x^{7} + x^{6} + 6 x^{5} - 10 x^{4} + 6 x^{3} + 2 x^{2} - 4 x + 2$ |
$10$ |
[0,5] |
$-\,2^{12}\cdot 5^{2}\cdot 397^{2}$ |
$3$ |
$10.4903045594$ |
$397.997491630025$ |
|
|
✓ |
$A_5 \wr C_2$ (as 10T40) |
trivial |
$4$ |
$4$ |
$32.4385247176$ |
10.0.16687871667.1 |
$x^{10} - 2 x^{9} - 2 x^{8} + 4 x^{7} + 6 x^{6} - 5 x^{5} - 4 x^{4} + 2 x^{3} + 2 x^{2} - 2 x + 1$ |
$10$ |
[0,5] |
$-\,3^{5}\cdot 8287^{2}$ |
$2$ |
$10.5254360065$ |
$709.2927486447319$ |
|
|
✓ |
$A_5 \wr C_2$ (as 10T40) |
trivial |
$6$ |
$4$ |
$29.333344894$ |
10.2.17243128125.1 |
$x^{10} - 3 x^{9} + 5 x^{8} - 4 x^{7} - x^{6} + 3 x^{5} - 2 x^{4} + 2 x^{2} - x - 1$ |
$10$ |
[2,4] |
$3^{8}\cdot 5^{5}\cdot 29^{2}$ |
$3$ |
$10.5599437668$ |
$91.32268540489322$ |
|
|
? |
$A_5 \wr C_2$ (as 10T40) |
trivial |
$2$ |
$5$ |
$11.4692732069$ |
10.2.17760800000.1 |
$x^{10} - x^{9} + 3 x^{8} - 2 x^{7} + 2 x^{6} + 2 x^{5} - 2 x^{4} + 2 x^{3} + x^{2} - x - 1$ |
$10$ |
[2,4] |
$2^{8}\cdot 5^{5}\cdot 149^{2}$ |
$3$ |
$10.5912264167$ |
$141.08391720633978$ |
|
|
|
$A_5 \wr C_2$ (as 10T40) |
trivial |
$2$ |
$5$ |
$13.8778531918$ |
10.2.18620253125.1 |
$x^{10} - 2 x^{9} + 3 x^{8} + x^{7} - 5 x^{6} + 3 x^{5} + x^{4} - 5 x^{3} - x^{2} + 2 x + 1$ |
$10$ |
[2,4] |
$5^{5}\cdot 2441^{2}$ |
$2$ |
$10.6413948505$ |
$405.3811233105654$ |
|
|
|
$A_5 \wr C_2$ (as 10T40) |
trivial |
$2$ |
$5$ |
$14.9224190877$ |
10.0.18801894400.1 |
$x^{10} - 2 x^{9} + x^{8} + x^{6} - 2 x^{4} - 2 x^{3} + x^{2} + 2 x + 1$ |
$10$ |
[0,5] |
$-\,2^{10}\cdot 5^{2}\cdot 857^{2}$ |
$3$ |
$10.6517302821$ |
$527.6312948562878$ |
|
|
✓ |
$A_5 \wr C_2$ (as 10T40) |
trivial |
$4$ |
$4$ |
$18.8824025796$ |
10.2.19546878125.1 |
$x^{10} - 2 x^{9} + 4 x^{8} - 4 x^{7} + x^{6} - 3 x^{4} + x + 1$ |
$10$ |
[2,4] |
$5^{5}\cdot 41^{2}\cdot 61^{2}$ |
$3$ |
$10.6932012508$ |
$411.9970723875408$ |
|
|
? |
$A_5 \wr C_2$ (as 10T40) |
trivial |
$2$ |
$5$ |
$11.7135685246$ |
10.2.20817378125.1 |
$x^{10} - x^{9} + 2 x^{8} - 3 x^{7} + 5 x^{6} - x^{5} - x^{4} - 6 x^{2} + 6 x - 1$ |
$10$ |
[2,4] |
$5^{5}\cdot 29^{2}\cdot 89^{2}$ |
$3$ |
$10.76075152$ |
$420.73664404679226$ |
|
|
|
$A_5 \wr C_2$ (as 10T40) |
trivial |
$2$ |
$5$ |
$15.4232913578$ |
10.2.22194716672.1 |
$x^{10} - 4 x^{9} + 8 x^{8} - 14 x^{7} + 19 x^{6} - 20 x^{5} + 17 x^{4} - 8 x^{3} + 3 x^{2} - 2 x + 1$ |
$10$ |
[2,4] |
$2^{15}\cdot 823^{2}$ |
$2$ |
$10.8299128184$ |
$248.39616338365155$ |
|
|
? |
$A_5 \wr C_2$ (as 10T40) |
trivial |
$2$ |
$5$ |
$11.655791259$ |
10.2.23103003125.1 |
$x^{10} - x^{9} - 2 x^{8} + x^{6} + 4 x^{5} + x^{3} - 5 x^{2} + x - 1$ |
$10$ |
[2,4] |
$5^{5}\cdot 2719^{2}$ |
$2$ |
$10.8734370287$ |
$435.6032793165447$ |
|
|
? |
$A_5 \wr C_2$ (as 10T40) |
trivial |
$2$ |
$5$ |
$13.6997389122$ |
10.0.29237507523.1 |
$x^{10} + 2 x^{8} - 3 x^{7} - 3 x^{6} - 5 x^{5} - 4 x^{4} + 4 x^{3} + 7 x^{2} + 7 x + 7$ |
$10$ |
[0,5] |
$-\,3^{5}\cdot 7^{2}\cdot 1567^{2}$ |
$3$ |
$11.1325341145$ |
$855.0771840527844$ |
|
|
? |
$A_5 \wr C_2$ (as 10T40) |
trivial |
$6$ |
$4$ |
$40.7434288504$ |
10.0.29703138048.1 |
$x^{10} - 4 x^{9} + 8 x^{8} - 10 x^{7} + 8 x^{6} - 2 x^{5} - 8 x^{3} + 16 x^{2} - 12 x + 4$ |
$10$ |
[0,5] |
$-\,2^{8}\cdot 3^{5}\cdot 691^{2}$ |
$3$ |
$11.1501377661$ |
$235.7056477582607$ |
|
|
? |
$A_5 \wr C_2$ (as 10T40) |
trivial |
$6$ |
$4$ |
$37.5575720562$ |
10.0.32338268928.1 |
$x^{10} - 4 x^{9} + 13 x^{8} - 30 x^{7} + 59 x^{6} - 84 x^{5} + 91 x^{4} - 66 x^{3} + 31 x^{2} - 8 x + 1$ |
$10$ |
[0,5] |
$-\,2^{8}\cdot 3^{5}\cdot 7^{2}\cdot 103^{2}$ |
$4$ |
$11.2453163356$ |
$226.04910512877302$ |
|
|
|
$A_5 \wr C_2$ (as 10T40) |
trivial |
$6$ |
$4$ |
$47.2292794454$ |
10.2.33028128125.1 |
$x^{10} - 3 x^{9} + 2 x^{8} + 4 x^{6} - 4 x^{5} - 5 x^{4} + 6 x^{3} - x + 1$ |
$10$ |
[2,4] |
$5^{5}\cdot 3251^{2}$ |
$2$ |
$11.2690782895$ |
$490.71535587425365$ |
|
|
✓ |
$A_5 \wr C_2$ (as 10T40) |
trivial |
$2$ |
$5$ |
$17.772344718$ |
10.0.35163750400.1 |
$x^{10} - 4 x^{9} + 10 x^{8} - 16 x^{7} + 19 x^{6} - 22 x^{5} + 26 x^{4} - 26 x^{3} + 21 x^{2} - 10 x + 2$ |
$10$ |
[0,5] |
$-\,2^{14}\cdot 5^{2}\cdot 293^{2}$ |
$3$ |
$11.3399076789$ |
$364.84080891030715$ |
|
|
? |
$A_5 \wr C_2$ (as 10T40) |
trivial |
$4$ |
$4$ |
$52.956194432$ |
10.0.42179301376.1 |
$x^{10} - 4 x^{9} + 7 x^{8} - 6 x^{7} + 3 x^{6} - 4 x^{5} + 4 x^{4} + 2 x^{3} - 4 x^{2} + 2$ |
$10$ |
[0,5] |
$-\,2^{12}\cdot 3209^{2}$ |
$2$ |
$11.5480841055$ |
$548.217808173993$ |
|
|
? |
$A_5 \wr C_2$ (as 10T40) |
trivial |
$4$ |
$4$ |
$61.8849814994$ |
10.0.42436001792.1 |
$x^{10} - x^{6} + 8 x^{4} - 12 x^{3} + 12 x^{2} - 8 x + 4$ |
$10$ |
[0,5] |
$-\,2^{17}\cdot 569^{2}$ |
$2$ |
$11.5550930187$ |
$244.69767128164497$ |
|
|
? |
$A_5 \wr C_2$ (as 10T40) |
trivial |
$2$ |
$4$ |
$26.8856580406$ |
10.0.42926115483.1 |
$x^{10} - 3 x^{9} + 2 x^{8} + 5 x^{7} - 17 x^{6} + 20 x^{5} + x^{4} - 30 x^{3} + 42 x^{2} - 27 x + 9$ |
$10$ |
[0,5] |
$-\,3^{5}\cdot 13291^{2}$ |
$2$ |
$11.5683696914$ |
$971.8496129292625$ |
|
|
? |
$A_5 \wr C_2$ (as 10T40) |
trivial |
$6$ |
$4$ |
$59.2168579652$ |
10.2.46091337728.1 |
$x^{10} - 7 x^{6} - 8 x^{5} - 10 x^{4} - 8 x^{3} - 2 x^{2} - 4 x + 2$ |
$10$ |
[2,4] |
$2^{17}\cdot 593^{2}$ |
$2$ |
$11.6509659036$ |
$251.53096343841833$ |
|
|
? |
$A_5 \wr C_2$ (as 10T40) |
trivial |
$2$ |
$5$ |
$35.6936443046$ |
10.0.46323879507.1 |
$x^{10} - 2 x^{9} - 2 x^{8} + 4 x^{7} + 6 x^{6} - 9 x^{5} - 9 x^{4} + 8 x^{3} + 9 x^{2} + 2 x + 1$ |
$10$ |
[0,5] |
$-\,3^{5}\cdot 13807^{2}$ |
$2$ |
$11.6568307903$ |
$996.8431845492029$ |
|
|
? |
$A_5 \wr C_2$ (as 10T40) |
trivial |
$6$ |
$4$ |
$68.5559066612$ |
10.0.47010848283.1 |
$x^{10} - x^{9} - 4 x^{8} + 6 x^{7} + 9 x^{6} - 9 x^{5} - 15 x^{4} + 7 x^{3} + 23 x^{2} + 9 x + 1$ |
$10$ |
[0,5] |
$-\,3^{5}\cdot 7^{2}\cdot 1987^{2}$ |
$3$ |
$11.6740032206$ |
$724.2828893594157$ |
|
|
? |
$A_5 \wr C_2$ (as 10T40) |
trivial |
$6$ |
$4$ |
$71.9608486556$ |
10.0.48194406027.1 |
$x^{10} - 5 x^{8} - 5 x^{7} + 15 x^{6} + 15 x^{5} - 19 x^{4} - 18 x^{3} + 9 x^{2} + 7 x + 1$ |
$10$ |
[0,5] |
$-\,3^{5}\cdot 14083^{2}$ |
$2$ |
$11.7030662413$ |
$1010.083817954844$ |
|
|
? |
$A_5 \wr C_2$ (as 10T40) |
trivial |
$6$ |
$4$ |
$62.8624099912$ |
10.2.51536628125.1 |
$x^{10} - x^{9} - x^{8} + 4 x^{7} - 2 x^{6} + 2 x^{5} - 2 x^{4} - 5 x^{3} + 9 x^{2} - 5 x + 1$ |
$10$ |
[2,4] |
$5^{5}\cdot 31^{2}\cdot 131^{2}$ |
$3$ |
$11.7817987493$ |
$569.1678079785006$ |
|
|
✓ |
$A_5 \wr C_2$ (as 10T40) |
trivial |
$2$ |
$5$ |
$17.1693126237$ |
10.0.55243801600.1 |
$x^{10} - 2 x^{9} + 5 x^{8} - 8 x^{7} + 11 x^{6} - 10 x^{5} + 4 x^{4} - 2 x^{3} + 5 x^{2} - 4 x + 1$ |
$10$ |
[0,5] |
$-\,2^{10}\cdot 5^{2}\cdot 13^{2}\cdot 113^{2}$ |
$4$ |
$11.8639239929$ |
$755.7146866220036$ |
|
|
? |
$A_5 \wr C_2$ (as 10T40) |
trivial |
$4$ |
$4$ |
$35.4278258798$ |
10.0.66261038067.1 |
$x^{10} - x^{9} + 6 x^{8} - 6 x^{7} + 19 x^{6} - 23 x^{5} + 31 x^{4} - 25 x^{3} + 15 x^{2} - 5 x + 1$ |
$10$ |
[0,5] |
$-\,3^{5}\cdot 7^{4}\cdot 337^{2}$ |
$3$ |
$12.0816381291$ |
$424.5174967069444$ |
|
|
? |
$A_5 \wr C_2$ (as 10T40) |
trivial |
$6$ |
$4$ |
$62.855191879$ |
10.2.66632941568.1 |
$x^{10} - 2 x^{9} - x^{8} + 2 x^{7} + x^{6} - 4 x^{5} + 4 x^{4} + 4 x^{3} - 2 x^{2} - 4 x + 2$ |
$10$ |
[2,4] |
$2^{17}\cdot 23^{2}\cdot 31^{2}$ |
$3$ |
$12.0884021269$ |
$284.4120626192804$ |
|
|
? |
$A_5 \wr C_2$ (as 10T40) |
trivial |
$2$ |
$5$ |
$46.5552958204$ |
10.2.69620000000.1 |
$x^{10} - 3 x^{9} + x^{8} + 8 x^{7} - 13 x^{6} - 5 x^{5} + 37 x^{4} - 44 x^{3} + 23 x^{2} - 3 x - 1$ |
$10$ |
[2,4] |
$2^{8}\cdot 5^{7}\cdot 59^{2}$ |
$3$ |
$12.1415295701$ |
$130.0902274415801$ |
|
|
|
$A_5 \wr C_2$ (as 10T40) |
trivial |
$2$ |
$5$ |
$35.0407886983$ |
10.2.71073003125.1 |
$x^{10} + x^{8} - 2 x^{7} + 6 x^{6} - 10 x^{5} + 12 x^{4} - 9 x^{3} + 5 x^{2} + x - 1$ |
$10$ |
[2,4] |
$5^{5}\cdot 19^{2}\cdot 251^{2}$ |
$3$ |
$12.1666346435$ |
$387.83257491845063$ |
|
|
|
$A_5 \wr C_2$ (as 10T40) |
trivial |
$2$ |
$5$ |
$31.9235021488$ |
10.0.71252957167.1 |
$x^{10} - 3 x^{9} + 6 x^{8} - 10 x^{7} + 14 x^{6} - 14 x^{5} + 10 x^{4} - 5 x^{3} + 2 x^{2} - x + 1$ |
$10$ |
[0,5] |
$-\,7^{5}\cdot 29^{2}\cdot 71^{2}$ |
$3$ |
$12.1697116831$ |
$428.20649572505755$ |
|
|
✓ |
$A_5 \wr C_2$ (as 10T40) |
trivial |
$2$ |
$4$ |
$16.5660087434$ |
10.0.72719062443.1 |
$x^{10} - 3 x^{9} - x^{8} + 13 x^{7} - 4 x^{6} - 24 x^{5} + 14 x^{4} + 13 x^{3} - 7 x^{2} - 2 x + 1$ |
$10$ |
[0,5] |
$-\,3^{5}\cdot 17299^{2}$ |
$2$ |
$12.1945232792$ |
$1158.531802064266$ |
|
|
✓ |
$A_5 \wr C_2$ (as 10T40) |
trivial |
$6$ |
$4$ |
$53.6950848242$ |
10.0.73833061923.1 |
$x^{10} - 2 x^{9} + 6 x^{8} - 8 x^{7} + 12 x^{6} - 7 x^{5} + 10 x^{4} + 4 x^{3} + 4 x^{2} + 4 x + 1$ |
$10$ |
[0,5] |
$-\,3^{5}\cdot 17431^{2}$ |
$2$ |
$12.2130767954$ |
$1164.4177827817507$ |
|
|
? |
$A_5 \wr C_2$ (as 10T40) |
trivial |
$6$ |
$4$ |
$66.771244213$ |
10.2.74145753125.1 |
$x^{10} - 2 x^{9} + x^{8} + x^{7} - x^{6} - 4 x^{5} - 2 x^{4} - 7 x^{2} - 5 x - 1$ |
$10$ |
[2,4] |
$5^{5}\cdot 4871^{2}$ |
$2$ |
$12.2182393377$ |
$642.5354425531323$ |
|
|
? |
$A_5 \wr C_2$ (as 10T40) |
trivial |
$2$ |
$5$ |
$24.1544548307$ |
10.2.75522050000.1 |
$x^{10} - 2 x^{8} - 4 x^{7} - x^{6} + 2 x^{5} + x^{4} - 4 x^{3} + 2 x + 1$ |
$10$ |
[2,4] |
$2^{4}\cdot 5^{5}\cdot 1229^{2}$ |
$3$ |
$12.2407316467$ |
$407.2610918025345$ |
|
|
|
$A_5 \wr C_2$ (as 10T40) |
trivial |
$2$ |
$5$ |
$40.8036436147$ |
10.0.77914570752.1 |
$x^{10} - 2 x^{8} - 2 x^{7} - 3 x^{6} + 4 x^{5} + 7 x^{4} + 2 x^{3} - 2 x^{2} - 4 x + 3$ |
$10$ |
[0,5] |
$-\,2^{17}\cdot 3^{2}\cdot 257^{2}$ |
$3$ |
$12.2789680192$ |
$249.5002786332379$ |
|
|
? |
$A_5 \wr C_2$ (as 10T40) |
trivial |
$2$ |
$4$ |
$49.0528735748$ |
10.0.78452312832.1 |
$x^{10} - 5 x^{9} + 13 x^{8} - 20 x^{7} + 18 x^{6} - 4 x^{5} - 8 x^{4} + 8 x^{3} + x^{2} - 3 x + 3$ |
$10$ |
[0,5] |
$-\,2^{8}\cdot 3^{5}\cdot 1123^{2}$ |
$3$ |
$12.2874163747$ |
$458.1181967760826$ |
|
|
|
$A_5 \wr C_2$ (as 10T40) |
trivial |
$6$ |
$4$ |
$104.070624941$ |
10.0.80420573952.1 |
$x^{10} - 4 x^{9} + 10 x^{8} - 14 x^{7} + 16 x^{6} - 14 x^{5} + 8 x^{4} - 12 x^{3} + 8 x^{2} + 4$ |
$10$ |
[0,5] |
$-\,2^{8}\cdot 3^{7}\cdot 379^{2}$ |
$3$ |
$12.3179012133$ |
$207.85369255151508$ |
|
|
? |
$A_5 \wr C_2$ (as 10T40) |
trivial |
$6$ |
$4$ |
$99.6440004021$ |
10.0.81271579392.1 |
$x^{10} - 2 x^{9} + 2 x^{8} - 4 x^{6} + 2 x^{5} - 4 x^{3} + 8 x^{2} - 4 x + 4$ |
$10$ |
[0,5] |
$-\,2^{8}\cdot 3^{9}\cdot 127^{2}$ |
$3$ |
$12.3308742818$ |
$158.48978429876644$ |
|
|
? |
$A_5 \wr C_2$ (as 10T40) |
trivial |
$6$ |
$4$ |
$88.1070276505$ |
10.2.81408800000.1 |
$x^{10} - 3 x^{9} - x^{8} + 8 x^{7} + x^{6} - 7 x^{5} - 7 x^{4} + 2 x^{3} + 5 x^{2} + 5 x + 1$ |
$10$ |
[2,4] |
$2^{8}\cdot 5^{5}\cdot 11^{2}\cdot 29^{2}$ |
$4$ |
$12.3329546718$ |
$181.76187219618996$ |
|
|
✓ |
$A_5 \wr C_2$ (as 10T40) |
trivial |
$2$ |
$5$ |
$36.4855682182$ |
10.0.81491689472.1 |
$x^{10} - 4 x^{9} + 8 x^{8} - 14 x^{7} + 17 x^{6} - 12 x^{5} + 17 x^{4} - 24 x^{3} + 17 x^{2} - 6 x + 1$ |
$10$ |
[0,5] |
$-\,2^{15}\cdot 19^{2}\cdot 83^{2}$ |
$3$ |
$12.3342098236$ |
$234.58875418713964$ |
|
|
? |
$A_5 \wr C_2$ (as 10T40) |
trivial |
$2$ |
$4$ |
$17.4767132602$ |