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Label Polynomial Discriminant Galois group Class group
6.2.287296.1 x6 - 2x4 + x2 - 2x - 1 \( 2^{6}\cdot 67^{2} \) $A_6$ (as 6T15) Trivial
6.2.613089.1 x6 - 3x3 - 3x + 4 \( 3^{6}\cdot 29^{2} \) $A_6$ (as 6T15) Trivial
6.2.678976.2 x6 - 2x5 + x4 + 4x3 - 8x2 + 6x - 1 \( 2^{6}\cdot 103^{2} \) $A_6$ (as 6T15) Trivial
6.2.700569.1 x6 - x3 - 3x2 - 1 \( 3^{6}\cdot 31^{2} \) $A_6$ (as 6T15) Trivial
6.2.817216.1 x6 - x5 + 2x4 - 5x3 + 4x2 - 7x - 1 \( 2^{6}\cdot 113^{2} \) $A_6$ (as 6T15) Trivial
6.2.1002001.1 x6 - x5 + 3x3 - 5x2 + 3x - 2 \( 7^{2}\cdot 11^{2}\cdot 13^{2} \) $A_6$ (as 6T15) Trivial
6.2.1083681.1 x6 - x5 + x4 + x3 - 4x2 + 2x - 1 \( 3^{2}\cdot 347^{2} \) $A_6$ (as 6T15) Trivial
6.2.1087849.1 x6 - x5 + 2x4 - 3x2 + 2x - 4 \( 7^{2}\cdot 149^{2} \) $A_6$ (as 6T15) Trivial
6.2.1108809.1 x6 - 3x5 + 3x4 - 3x2 + 3x + 2 \( 3^{8}\cdot 13^{2} \) $A_6$ (as 6T15) Trivial
6.2.1597696.2 x6 - 3x5 - x4 + 4x3 + 2x2 - 2x - 2 \( 2^{8}\cdot 79^{2} \) $A_6$ (as 6T15) Trivial
6.2.1658944.1 x6 - 3x5 + 5x4 - 8x2 + 4x + 4 \( 2^{6}\cdot 7^{2}\cdot 23^{2} \) $A_6$ (as 6T15) Trivial
6.2.1679616.2 x6 - 3x5 + 3x4 - 6x2 + 6x - 2 \( 2^{8}\cdot 3^{8} \) $A_6$ (as 6T15) Trivial
6.2.1871424.1 x6 - 2x5 - 3x4 + 10x3 - 6x2 - 3 \( 2^{6}\cdot 3^{4}\cdot 19^{2} \) $A_6$ (as 6T15) Trivial
6.2.1871424.2 x6 - 3x5 + 5x4 - 4x3 - 4x + 4 \( 2^{6}\cdot 3^{4}\cdot 19^{2} \) $A_6$ (as 6T15) Trivial
6.2.1971216.1 x6 - 3x5 + 3x4 - 2 \( 2^{4}\cdot 3^{6}\cdot 13^{2} \) $A_6$ (as 6T15) Trivial
6.2.2286144.1 x6 + 3x4 - 4x3 - 4 \( 2^{6}\cdot 3^{6}\cdot 7^{2} \) $A_6$ (as 6T15) Trivial
6.2.2471184.1 x6 - x5 + 5x4 - 6x3 + 7x2 - x - 1 \( 2^{4}\cdot 3^{2}\cdot 131^{2} \) $A_6$ (as 6T15) Trivial
6.2.2845969.1 x6 - x5 + x4 - 5x3 - 2x2 + x - 4 \( 7^{2}\cdot 241^{2} \) $A_6$ (as 6T15) Trivial
6.2.3013696.1 x6 - 2x5 + x4 - 2x3 - x2 + 6x - 1 \( 2^{6}\cdot 7^{2}\cdot 31^{2} \) $A_6$ (as 6T15) Trivial
6.2.3083536.1 x6 - 2x5 + 2x4 - 6x3 - 3x2 - 8x - 4 \( 2^{4}\cdot 439^{2} \) $A_6$ (as 6T15) Trivial
6.2.3272481.1 x6 - 3x4 - 5x3 + 9x2 + 3x - 4 \( 3^{6}\cdot 67^{2} \) $A_6$ (as 6T15) Trivial
6.2.3370896.1 x6 - 6x4 - 2x3 + 9x2 - 4 \( 2^{4}\cdot 3^{6}\cdot 17^{2} \) $A_6$ (as 6T15) Trivial
6.2.3381921.1 x6 - x5 - x4 + 3x3 + 4x2 - x - 1 \( 3^{2}\cdot 613^{2} \) $A_6$ (as 6T15) Trivial
6.2.3674889.1 x6 + 3x4 - 2x3 - 6x2 + 3x + 2 \( 3^{6}\cdot 71^{2} \) $A_6$ (as 6T15) Trivial
6.2.3936256.1 x6 - 2x5 - 2x4 + 8x3 - 2x2 - 4x + 4 \( 2^{12}\cdot 31^{2} \) $A_6$ (as 6T15) Trivial
6.2.4322241.1 x6 - 3x4 - 7x3 + 12x + 8 \( 3^{6}\cdot 7^{2}\cdot 11^{2} \) $A_6$ (as 6T15) Trivial
6.2.4380649.1 x6 - x3 + x2 + 8x + 4 \( 7^{2}\cdot 13^{2}\cdot 23^{2} \) $A_6$ (as 6T15) Trivial
6.2.4468996.1 x6 - 2x5 + x4 - 7x3 + 8x2 + 15x - 18 \( 2^{2}\cdot 7^{2}\cdot 151^{2} \) $A_6$ (as 6T15) Trivial
6.2.4665600.1 x6 - 3x5 + 3x4 + 4x3 - 6x2 - 6x + 2 \( 2^{8}\cdot 3^{6}\cdot 5^{2} \) $A_6$ (as 6T15) Trivial
6.2.4700224.1 x6 - x5 - 7x4 + 8x3 + 7x2 - 7x + 3 \( 2^{6}\cdot 271^{2} \) $A_6$ (as 6T15) Trivial
6.2.4717584.1 x6 - 2x5 + 2x4 + 4x2 + 4x - 4 \( 2^{4}\cdot 3^{2}\cdot 181^{2} \) $A_6$ (as 6T15) Trivial
6.2.4721929.1 x6 - 2x5 - 3x4 + 7x3 + 4x2 - 8x - 3 \( 41^{2}\cdot 53^{2} \) $A_6$ (as 6T15) Trivial
6.2.4765489.2 x6 - x5 - 2x4 + 4x3 + x2 - 6x - 4 \( 37^{2}\cdot 59^{2} \) $A_6$ (as 6T15) Trivial
6.2.5125696.3 x6 - 2x5 - x4 + 4x2 - 8x + 5 \( 2^{6}\cdot 283^{2} \) $A_6$ (as 6T15) Trivial
6.2.5391684.1 x6 - 8x3 + 9x2 + 6x - 4 \( 2^{2}\cdot 3^{6}\cdot 43^{2} \) $A_6$ (as 6T15) Trivial
6.2.5645376.3 x6 - 2x3 - 6x2 + 6x + 2 \( 2^{6}\cdot 3^{6}\cdot 11^{2} \) $A_6$ (as 6T15) Trivial
6.2.5953600.1 x6 - x5 - 5x4 + 2x3 + 2x2 - 4x + 4 \( 2^{6}\cdot 5^{2}\cdot 61^{2} \) $A_6$ (as 6T15) Trivial
6.2.6235009.1 x6 - 2x5 - 2x4 + 7x3 - 9x + 4 \( 11^{2}\cdot 227^{2} \) $A_6$ (as 6T15) Trivial
6.2.6305121.1 x6 - 3x4 - 2x3 + 6x2 + 3x - 6 \( 3^{8}\cdot 31^{2} \) $A_6$ (as 6T15) Trivial
6.2.6416089.1 x6 - x5 - 3x3 - x2 + x + 2 \( 17^{2}\cdot 149^{2} \) $A_6$ (as 6T15) Trivial
6.2.6477025.1 x6 - 2x5 + 5x4 - 5x3 + 2x2 - 5 \( 5^{2}\cdot 509^{2} \) $A_6$ (as 6T15) Trivial
6.2.6477025.2 x6 - x5 + 2x4 - 3x2 + 6x - 4 \( 5^{2}\cdot 509^{2} \) $A_6$ (as 6T15) Trivial
6.2.6579225.1 x6 - 3x5 - 3x4 + 8x3 + 9x2 - 3x - 4 \( 3^{6}\cdot 5^{2}\cdot 19^{2} \) $A_6$ (as 6T15) Trivial
6.2.6718464.1 x6 - 3x4 - 12x3 - 9x2 + 1 \( 2^{10}\cdot 3^{8} \) $A_6$ (as 6T15) Trivial
6.2.6754801.1 x6 - 2x5 - 3x4 + 9x3 - 4x2 - 2x - 1 \( 23^{2}\cdot 113^{2} \) $A_6$ (as 6T15) Trivial
6.2.6801664.2 x6 - x5 - 5x4 - 2x3 + 12x2 + 10x + 2 \( 2^{8}\cdot 163^{2} \) $A_6$ (as 6T15) Trivial
6.2.6827769.1 x6 - x5 + 3x4 - 4x3 - 4x - 1 \( 3^{2}\cdot 13^{2}\cdot 67^{2} \) $A_6$ (as 6T15) Trivial
6.2.6843456.2 x6 - 2x5 + 5x4 - 6x3 + 7x2 - 2x - 1 \( 2^{6}\cdot 3^{2}\cdot 109^{2} \) $A_6$ (as 6T15) Trivial
6.2.6885376.1 x6 - 2x5 + 3x4 - 4x3 - 4x - 2 \( 2^{12}\cdot 41^{2} \) $A_6$ (as 6T15) Trivial
6.2.6953769.1 x6 - 2x5 + x4 + 3x3 - 9x2 + 9x - 6 \( 3^{4}\cdot 293^{2} \) $A_6$ (as 6T15) Trivial

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