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Label Polynomial Discriminant Galois group Class group
6.2.31213.1 x6 - 2x5 + 2x4 - 3x3 + 2x2 - 2x + 1 \( 7^{4}\cdot 13 \) $A_4\times C_2$ (as 6T6) Trivial
6.2.69629.1 x6 - 2x5 + x4 + 3x3 - 4x2 + 3x - 1 \( 7^{4}\cdot 29 \) $A_4\times C_2$ (as 6T6) Trivial
6.2.98441.1 x6 - 3x5 + 5x4 - 5x3 + x2 + x - 1 \( 7^{4}\cdot 41 \) $A_4\times C_2$ (as 6T6) Trivial
6.4.103243.1 x6 - x5 - x4 - 2x3 + 2x2 + 3x - 1 \( -\,7^{4}\cdot 43 \) $A_4\times C_2$ (as 6T6) Trivial
6.2.111537.1 x6 - 3x5 + 3x4 + x3 - 3x2 + 3x - 1 \( 3^{8}\cdot 17 \) $A_4\times C_2$ (as 6T6) Trivial
6.4.124659.1 x6 - 3x4 - 2x3 + 3x2 + 3x - 1 \( -\,3^{8}\cdot 19 \) $A_4\times C_2$ (as 6T6) Trivial
6.2.142805.1 x6 - 2x5 + x3 - 2x + 1 \( 5\cdot 13^{4} \) $A_4\times C_2$ (as 6T6) Trivial
6.4.153664.1 x6 - x4 - 2x2 + 1 \( -\,2^{6}\cdot 7^{4} \) $A_4\times C_2$ (as 6T6) Trivial
6.4.170471.1 x6 - 3x5 + x4 + 3x3 - 3x2 + x + 1 \( -\,7^{4}\cdot 71 \) $A_4\times C_2$ (as 6T6) Trivial
6.4.199283.1 x6 - 2x5 + x4 - 4x3 + 3x2 + 3x - 1 \( -\,7^{4}\cdot 83 \) $A_4\times C_2$ (as 6T6) Trivial
6.4.218491.1 x6 - 3x5 + 2x4 + x3 - 3x2 + 2x + 1 \( -\,7^{5}\cdot 13 \) $A_4\times C_2$ (as 6T6) Trivial
6.2.232897.1 x6 - 3x5 + 7x4 - 9x3 + 7x2 - 3x - 1 \( 7^{4}\cdot 97 \) $A_4\times C_2$ (as 6T6) Trivial
6.2.242757.1 x6 - 3x5 + 3x4 - 3x - 1 \( 3^{8}\cdot 37 \) $A_4\times C_2$ (as 6T6) Trivial
6.2.271313.1 x6 - x5 + 2x4 + 3x3 - 2x2 + 6x - 1 \( 7^{4}\cdot 113 \) $A_4\times C_2$ (as 6T6) Trivial
6.4.304927.1 x6 - 2x5 + 2x3 - 7x2 + 6x - 1 \( -\,7^{4}\cdot 127 \) $A_4\times C_2$ (as 6T6) Trivial
6.4.333739.1 x6 - x5 - 4x4 - 2x2 - 2x + 1 \( -\,7^{4}\cdot 139 \) $A_4\times C_2$ (as 6T6) Trivial
6.4.334611.1 x6 - 3x4 - 5x3 + 3x + 1 \( -\,3^{9}\cdot 17 \) $A_4\times C_2$ (as 6T6) Trivial
6.2.347733.1 x6 - 3x5 + 6x4 - 7x3 + 3x2 - 1 \( 3^{8}\cdot 53 \) $A_4\times C_2$ (as 6T6) Trivial
6.2.373977.1 x6 - 3x5 + 3x4 + 3x3 - 9x2 + 9x - 3 \( 3^{9}\cdot 19 \) $A_4\times C_2$ (as 6T6) Trivial
6.0.400967.1 x6 - 2x5 + 5x4 - 7x3 + 10x2 - 8x + 8 \( -\,7^{4}\cdot 167 \) $A_4\times C_2$ (as 6T6) Trivial
6.4.419904.1 x6 - 3x2 + 1 \( -\,2^{6}\cdot 3^{8} \) $A_4\times C_2$ (as 6T6) Trivial
6.6.434581.1 x6 - 2x5 - 4x4 + 5x3 + 4x2 - 2x - 1 \( 7^{4}\cdot 181 \) $A_4\times C_2$ (as 6T6) Trivial
6.0.465831.1 x6 - 3x5 + 9x4 - 13x3 + 15x2 - 9x + 3 \( -\,3^{8}\cdot 71 \) $A_4\times C_2$ (as 6T6) Trivial
6.2.472997.1 x6 - x5 + 2x4 - 4x3 - 2x2 - 8x - 1 \( 7^{4}\cdot 197 \) $A_4\times C_2$ (as 6T6) Trivial
6.2.478953.1 x6 - 2x3 + 3x2 - 3 \( 3^{8}\cdot 73 \) $A_4\times C_2$ (as 6T6) Trivial
6.4.487403.1 x6 - 2x5 - 3x4 + 6x3 - 5x2 + 3x + 1 \( -\,7^{5}\cdot 29 \) $A_4\times C_2$ (as 6T6) Trivial
6.4.506611.1 x6 - x5 - 3x4 + 4x3 - 6x2 + 3x + 1 \( -\,7^{4}\cdot 211 \) $A_4\times C_2$ (as 6T6) Trivial
6.4.535423.1 x6 - 2x5 - 2x4 + 3x2 + 6x + 1 \( -\,7^{4}\cdot 223 \) $A_4\times C_2$ (as 6T6) Trivial
6.0.573839.1 x6 - x5 + 4x4 - 3x3 + 8x2 - 4x + 8 \( -\,7^{4}\cdot 239 \) $A_4\times C_2$ (as 6T6) Trivial
6.2.583929.1 x6 - 5x3 - 3x - 1 \( 3^{8}\cdot 89 \) $A_4\times C_2$ (as 6T6) Trivial
6.0.602651.1 x6 - 3x5 + 10x4 - 15x3 + 21x2 - 14x + 7 \( -\,7^{4}\cdot 251 \) $A_4\times C_2$ (as 6T6) Trivial
6.2.674681.1 x6 - 2x5 + x4 + 3x3 - 4x2 - 4x - 8 \( 7^{4}\cdot 281 \) $A_4\times C_2$ (as 6T6) Trivial
6.4.689087.1 x6 - 2x5 - 3x4 + 13x3 - 12x2 - 4x + 8 \( -\,7^{5}\cdot 41 \) $A_4\times C_2$ (as 6T6) Trivial
6.4.702027.1 x6 - 3x5 + 3x4 - 9x2 + 6x - 1 \( -\,3^{8}\cdot 107 \) $A_4\times C_2$ (as 6T6) Trivial
6.6.703493.1 x6 - 2x5 - 5x4 + 11x3 + 2x2 - 9x + 1 \( 7^{4}\cdot 293 \) $A_4\times C_2$ (as 6T6) Trivial
6.2.715149.1 x6 - 2x3 - 6x2 - 9x - 3 \( 3^{8}\cdot 109 \) $A_4\times C_2$ (as 6T6) Trivial
6.2.722701.1 x6 - 2x5 + 4x4 - 8x3 + 2x2 - 11x + 1 \( 7^{5}\cdot 43 \) $A_4\times C_2$ (as 6T6) Trivial
6.4.728271.1 x6 - 3x5 + 3x4 - x3 - 3x2 + 3x + 1 \( -\,3^{9}\cdot 37 \) $A_4\times C_2$ (as 6T6) Trivial
6.4.737107.1 x6 - 2x5 - x4 + 8x3 - 7x2 - 7x + 7 \( -\,7^{4}\cdot 307 \) $A_4\times C_2$ (as 6T6) Trivial
6.2.809137.1 x6 - 3x5 + 3x4 - x3 - 7x2 + 7x - 7 \( 7^{4}\cdot 337 \) $A_4\times C_2$ (as 6T6) Trivial
6.4.833247.1 x6 - 3x4 - 2x3 - 6x2 - 6x - 1 \( -\,3^{8}\cdot 127 \) $A_4\times C_2$ (as 6T6) Trivial
6.2.837949.1 x6 - 2x5 + 3x4 - 9x3 + 4x2 - 9x - 1 \( 7^{4}\cdot 349 \) $A_4\times C_2$ (as 6T6) Trivial
6.4.842751.1 x6 - 2x5 - 4x4 + 12x3 - 3x2 - 16x + 13 \( -\,3^{3}\cdot 7^{4}\cdot 13 \) $A_4\times C_2$ (as 6T6) Trivial
6.4.885391.1 x6 - x5 - 3x4 + 7x3 - x2 - 3x + 1 \( -\,13^{4}\cdot 31 \) $A_4\times C_2$ (as 6T6) Trivial
6.2.905177.1 x6 - 2x5 + 2x4 - 3x3 + 2x2 + 5x - 13 \( 7^{4}\cdot 13\cdot 29 \) $A_4\times C_2$ (as 6T6) Trivial
6.6.905177.1 x6 - x5 - 7x4 + 9x3 + 7x2 - 9x - 1 \( 7^{4}\cdot 13\cdot 29 \) $A_4\times C_2$ (as 6T6) Trivial
6.2.905177.2 x6 - 3x5 + 5x4 - 5x3 - 6x2 + 8x - 8 \( 7^{4}\cdot 13\cdot 29 \) $A_4\times C_2$ (as 6T6) Trivial
6.0.909979.1 x6 - 2x5 + 7x4 - 12x3 + 21x2 - 15x + 13 \( -\,7^{4}\cdot 379 \) $A_4\times C_2$ (as 6T6) Trivial
6.4.912247.1 x6 - x5 - 3x4 + 5x3 - 3x2 - x + 1 \( -\,7\cdot 19^{4} \) $A_4\times C_2$ (as 6T6) Trivial
6.4.1006019.1 x6 - x5 - 2x4 + 8x3 - 7x2 - 7x + 7 \( -\,7^{4}\cdot 419 \) $A_4\times C_2$ (as 6T6) Trivial

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