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Label Polynomial Discriminant Galois group Class group
10.2.21894529024.1 x10 + 2x6 - 4x4 - 3x2 - 4 \( 2^{18}\cdot 17^{4} \) $C_2^4 : A_5$ (as 10T34) Trivial
10.2.185409470464.1 x10 - x8 + 4x6 + 4x2 - 4 \( 2^{18}\cdot 29^{4} \) $C_2^4 : A_5$ (as 10T34) Trivial
10.2.350312464384.1 x10 + 3x8 + 4x6 - 8x4 - 3x2 - 1 \( 2^{22}\cdot 17^{4} \) $C_2^4 : A_5$ (as 10T34) Trivial
10.2.350312464384.2 x10 - x8 + 4x6 - 4x4 + 5x2 - 1 \( 2^{22}\cdot 17^{4} \) $C_2^4 : A_5$ (as 10T34) Trivial
10.2.468337659904.1 x10 - 3x9 + 4x8 + 2x7 + x6 - 21x5 + 40x4 - 20x3 - 13x2 + 9x - 2 \( 2^{12}\cdot 17^{4}\cdot 37^{2} \) $C_2^4 : A_5$ (as 10T34) Trivial
10.2.540335255625.1 x10 - 5x9 + 12x8 - 18x7 + 24x6 - 30x5 + 9x4 + 21x3 - 6x2 - 8x + 1 \( 3^{10}\cdot 5^{4}\cdot 11^{4} \) $C_2^4 : A_5$ (as 10T34) Trivial
10.2.575073488896.1 x10 - 3x9 + 4x8 + 2x7 - 19x6 + 35x5 - 40x4 + 40x3 - 45x2 + 49x - 22 \( 2^{12}\cdot 17^{4}\cdot 41^{2} \) $C_2^4 : A_5$ (as 10T34) Trivial
10.2.662309502976.1 x10 - 3x9 + 7x8 - 10x7 - 4x6 + 6x5 + 28x4 - 18x3 - 15x2 + 7x - 1 \( 2^{16}\cdot 11^{2}\cdot 17^{4} \) $C_2^4 : A_5$ (as 10T34) Trivial
10.2.755703353344.2 x10 + 3x8 - 6x7 - 11x6 - 28x5 - 11x4 - 2x3 - 4x2 - 4x - 2 \( 2^{12}\cdot 17^{4}\cdot 47^{2} \) $C_2^4 : A_5$ (as 10T34) Trivial
10.2.833432055625.1 x10 - x9 + 2x8 + 2x7 - 3x6 + 11x5 - 3x4 + 2x3 + 2x2 - x + 1 \( 5^{4}\cdot 13^{2}\cdot 53^{4} \) $C_2^4 : A_5$ (as 10T34) Trivial
10.2.896218169344.1 x10 + 3x8 + 4x6 + 4x2 - 4 \( 2^{18}\cdot 43^{4} \) $C_2^4 : A_5$ (as 10T34) Trivial
10.2.954177312400.1 x10 - 2x9 + 2x8 + x7 - 3x6 + 7x5 - 3x4 + x3 + 2x2 - 2x + 1 \( 2^{4}\cdot 5^{2}\cdot 13^{4}\cdot 17^{4} \) $C_2^4 : A_5$ (as 10T34) Trivial
10.2.1074954240000.1 x10 - x8 + 2x6 - 18x4 + 9x2 - 9 \( 2^{18}\cdot 3^{8}\cdot 5^{4} \) $C_2^4 : A_5$ (as 10T34) Trivial
10.2.1169858560000.1 x10 + x8 + 5x6 - 9x4 + 11x2 - 1 \( 2^{16}\cdot 5^{4}\cdot 13^{4} \) $C_2^4 : A_5$ (as 10T34) Trivial
10.2.1262476960000.1 x10 + 7x8 + 17x6 + 16x4 + 3x2 - 4 \( 2^{8}\cdot 5^{4}\cdot 53^{4} \) $C_2^4 : A_5$ (as 10T34) Trivial
10.2.1262476960000.2 x10 - x8 + 9x6 - 4x4 + 19x2 - 4 \( 2^{8}\cdot 5^{4}\cdot 53^{4} \) $C_2^4 : A_5$ (as 10T34) Trivial
10.2.1401249857536.1 x10 - 6x8 + 18x6 - 32x4 + 34x2 - 16 \( 2^{24}\cdot 17^{4} \) $C_2^4 : A_5$ (as 10T34) Trivial
10.2.1401249857536.2 x10 - 6x6 - 12x4 - 10x2 - 4 \( 2^{24}\cdot 17^{4} \) $C_2^4 : A_5$ (as 10T34) Trivial
10.2.1401249857536.3 x10 + 4x8 + 2x6 - 8x4 + 6x2 - 4 \( 2^{24}\cdot 17^{4} \) $C_2^4 : A_5$ (as 10T34) Trivial
10.2.1401249857536.4 x10 - 4x8 + 10x6 - 12x4 + 10x2 - 4 \( 2^{24}\cdot 17^{4} \) $C_2^4 : A_5$ (as 10T34) Trivial
10.2.1581879721984.1 x10 - x9 - 9x8 + 2x7 + 36x6 + 10x5 - 62x4 - 48x3 + 6x2 + 6x - 2 \( 2^{16}\cdot 17^{6} \) $C_2^4 : A_5$ (as 10T34) Trivial
10.2.1679616000000.1 x10 - 4x9 + 6x8 - 6x7 - 4x6 + 30x5 - 38x4 + 14x3 + 33x2 - 66x + 32 \( 2^{14}\cdot 3^{8}\cdot 5^{6} \) $C_2^4 : A_5$ (as 10T34) Trivial
10.2.1861107122176.1 x10 - x9 + x8 - 2x6 + 10x5 - 2x4 + x2 - x + 1 \( 2^{16}\cdot 73^{4} \) $C_2^4 : A_5$ (as 10T34) $[3]$
10.2.1880101684224.2 x10 - x8 + x6 + 2x4 + x2 - 1 \( 2^{10}\cdot 3^{8}\cdot 23^{4} \) $C_2^4 : A_5$ (as 10T34) Trivial
10.2.1972620250000.1 x10 - 5x9 + 14x8 - 23x7 + 19x6 - 7x5 + x4 - 17x3 + x2 + 4x + 2 \( 2^{4}\cdot 5^{6}\cdot 53^{4} \) $C_2^4 : A_5$ (as 10T34) Trivial
10.2.2418647040000.1 x10 - 3x9 - x8 + 8x7 - 2x6 - 2x5 + 2x4 + 8x3 + x2 - 3x - 1 \( 2^{16}\cdot 3^{10}\cdot 5^{4} \) $C_2^4 : A_5$ (as 10T34) Trivial
10.2.2966551527424.1 x10 - 4x8 + 8x6 - 8x4 + 12x2 - 16 \( 2^{22}\cdot 29^{4} \) $C_2^4 : A_5$ (as 10T34) Trivial
10.2.2966551527424.2 x10 - 2x8 + 2x6 - 2x4 - 9x2 - 4 \( 2^{22}\cdot 29^{4} \) $C_2^4 : A_5$ (as 10T34) Trivial
10.2.5282495463424.1 x10 - 3x9 - 3x8 + 22x7 - 24x6 - 22x5 + 82x4 - 96x3 + 66x2 - 34x + 10 \( 2^{18}\cdot 67^{4} \) $C_2^4 : A_5$ (as 10T34) $[3]$
10.2.6327518887936.1 x10 - 5x9 + 16x8 - 30x7 + 34x6 - 34x5 + 16x4 - 48x3 - 14x2 - 2x + 4 \( 2^{18}\cdot 17^{6} \) $C_2^4 : A_5$ (as 10T34) Trivial
10.2.8741371209561.1 x10 - 5x9 + 9x8 - 4x7 - 19x6 + 75x5 - 112x4 + 53x3 - 6x2 + 28x - 17 \( 3^{10}\cdot 23^{6} \) $C_2^4 : A_5$ (as 10T34) Trivial
10.2.9674588160000.1 x10 - 3x9 + 8x8 - 10x7 + 22x6 + 10x5 - 18x4 + 38x3 - 45x2 + 27x - 6 \( 2^{18}\cdot 3^{10}\cdot 5^{4} \) $C_2^4 : A_5$ (as 10T34) Trivial
10.2.9745585291264.1 x10 - x9 + 4x8 + 4x7 + 60x5 + 88x4 - 22x2 + 10x + 4 \( 2^{14}\cdot 29^{6} \) $C_2^4 : A_5$ (as 10T34) Trivial
10.2.11866206109696.2 x10 + 2x8 + 2x6 - 8x4 - 18x2 - 16 \( 2^{24}\cdot 29^{4} \) $C_2^4 : A_5$ (as 10T34) Trivial
10.2.11866206109696.3 x10 - 4x8 + 14x6 - 16x4 + 10x2 - 4 \( 2^{24}\cdot 29^{4} \) $C_2^4 : A_5$ (as 10T34) Trivial
10.2.11866206109696.4 x10 + 6x6 - 24x4 + 14x2 - 4 \( 2^{24}\cdot 29^{4} \) $C_2^4 : A_5$ (as 10T34) Trivial
10.2.11866206109696.5 x10 + 4x8 + 2x6 - 8x4 + 18x2 - 4 \( 2^{24}\cdot 29^{4} \) $C_2^4 : A_5$ (as 10T34) Trivial
10.2.17199267840000.1 x10 - 5x8 + 8x6 - 8x4 + x2 - 1 \( 2^{22}\cdot 3^{8}\cdot 5^{4} \) $C_2^4 : A_5$ (as 10T34) Trivial
10.2.17199267840000.2 x10 + 2x8 + 10x6 + 2x4 + 7x2 - 4 \( 2^{22}\cdot 3^{8}\cdot 5^{4} \) $C_2^4 : A_5$ (as 10T34) Trivial
10.2.25347992633041.2 x10 - 3x9 - x8 - 7x7 + 32x6 - 31x5 + 63x4 - 30x3 + 91x2 - 43x + 41 \( 13^{4}\cdot 31^{6} \) $C_2^4 : A_5$ (as 10T34) Trivial
10.2.26873856000000.5 x10 - 3x9 - 3x8 + 26x7 - 20x6 - 54x5 + 100x4 - 34x3 - 87x2 + 147x - 71 \( 2^{18}\cdot 3^{8}\cdot 5^{6} \) $C_2^4 : A_5$ (as 10T34) Trivial
10.2.37949591784976.1 x10 - 5x9 + 4x8 + 8x7 + 4x6 - 24x5 - 18x4 - 51x3 + 45x2 + 30x - 37 \( 2^{4}\cdot 17^{4}\cdot 73^{4} \) $C_2^4 : A_5$ (as 10T34) Trivial
10.2.38194822598416.1 x10 - 5x9 + 16x8 - 34x7 + 38x6 - 16x5 - 72x4 + 141x3 - 175x2 + 106x - 25 \( 2^{4}\cdot 11^{4}\cdot 113^{4} \) $C_2^4 : A_5$ (as 10T34) Trivial
10.2.38555257466944.1 x10 + 10x8 + 29x6 + 19x4 - 14x2 - 9 \( 2^{6}\cdot 881^{4} \) $C_2^4 : A_5$ (as 10T34) Trivial
10.2.49241109874401.1 x10 - 3x9 - 3x7 + 5x6 + 9x5 + 10x4 - 12x3 - 48x + 32 \( 3^{4}\cdot 883^{4} \) $C_2^4 : A_5$ (as 10T34) $[2]$
10.6.49241109874401.1 x10 - 8x8 + 12x6 + 23x4 - 30x2 - 1 \( 3^{4}\cdot 883^{4} \) $C_2^4 : A_5$ (as 10T34) Trivial
10.6.49241109874401.2 x10 - 2x9 - 7x8 + 9x7 + 4x6 - 9x5 + 4x4 + 9x3 - 7x2 - 2x + 1 \( 3^{4}\cdot 883^{4} \) $C_2^4 : A_5$ (as 10T34) Trivial
10.2.60466176000000.4 x10 - 3x9 + 11x8 - 4x7 + 4x6 + 52x5 + 32x3 + 108x2 + 36x - 12 \( 2^{16}\cdot 3^{10}\cdot 5^{6} \) $C_2^4 : A_5$ (as 10T34) Trivial
10.2.64000000000000.2 x10 + 20x2 - 16 \( 2^{18}\cdot 5^{12} \) $C_2^4 : A_5$ (as 10T34) $[3]$
10.2.68797071360000.2 x10 + 6x8 + 10x6 - 4x4 + 6x2 - 16 \( 2^{24}\cdot 3^{8}\cdot 5^{4} \) $C_2^4 : A_5$ (as 10T34) Trivial
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