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Label Polynomial Discriminant Galois group Class group
6.2.149504.1 x6 - 2x5 + x4 - x2 + 2x + 1 \( 2^{11}\cdot 73 \) $C_3^2:D_4$ (as 6T13) trivial
6.2.182272.1 x6 - 2x5 + x4 - 3x2 + 2x - 1 \( 2^{11}\cdot 89 \) $C_3^2:D_4$ (as 6T13) trivial
6.2.247808.1 x6 + 2x4 - 2 \( 2^{11}\cdot 11^{2} \) $D_{6}$ (as 6T3) trivial
6.4.342016.1 x6 - 4x3 - 2x2 + 4x + 2 \( -\,2^{11}\cdot 167 \) $C_3^2:D_4$ (as 6T13) trivial
6.2.444416.1 x6 - 2x5 - x4 + 4x3 - x2 - 2x - 1 \( 2^{11}\cdot 7\cdot 31 \) $C_3^2:D_4$ (as 6T13) trivial
6.2.477184.1 x6 - 2x5 + 5x4 - 4x3 + 5x2 - 2x - 1 \( 2^{11}\cdot 233 \) $C_3^2:D_4$ (as 6T13) trivial
6.2.575488.1 x6 - 2x5 + x4 + 4x3 - 7x2 + 6x - 1 \( 2^{11}\cdot 281 \) $C_3^2:D_4$ (as 6T13) trivial
6.2.673792.1 x6 - 4x4 - 4x3 + 2x2 + 4x + 2 \( 2^{11}\cdot 7\cdot 47 \) $C_3^2:D_4$ (as 6T13) trivial
6.2.739328.3 x6 - 2x4 + 4x2 - 2 \( 2^{11}\cdot 19^{2} \) $D_{6}$ (as 6T3) trivial
6.2.739328.4 x6 - 2x5 + 3x4 - 4x3 + x2 - 2x + 1 \( 2^{11}\cdot 19^{2} \) $S_3^2$ (as 6T9) trivial
6.4.800768.1 x6 - 2x5 + x4 - 4x3 + x2 + 6x - 1 \( -\,2^{11}\cdot 17\cdot 23 \) $C_3^2:D_4$ (as 6T13) trivial
6.2.870400.1 x6 - 2x5 + 3x4 - 4x3 + 3x2 - 2x - 1 \( 2^{11}\cdot 5^{2}\cdot 17 \) $C_3^2:D_4$ (as 6T13) trivial
6.2.903168.1 x6 - 2x5 + 3x4 - 3x2 + 2x + 1 \( 2^{11}\cdot 3^{2}\cdot 7^{2} \) $S_3^2$ (as 6T9) trivial
6.4.997376.1 x6 - 2x5 - x4 + 3x2 + 2x - 1 \( -\,2^{11}\cdot 487 \) $C_3^2:D_4$ (as 6T13) trivial
6.4.1030144.1 x6 - 2x5 - 3x4 + 8x3 - 5x2 + 2x + 1 \( -\,2^{11}\cdot 503 \) $C_3^2:D_4$ (as 6T13) trivial
6.2.1132544.1 x6 + 2x4 - 2x2 - 4x + 2 \( 2^{11}\cdot 7\cdot 79 \) $C_3^2:D_4$ (as 6T13) trivial
6.4.1292288.1 x6 - 2x5 - x4 + 4x3 - 3x2 - 2x + 1 \( -\,2^{11}\cdot 631 \) $C_3^2:D_4$ (as 6T13) trivial
6.4.1390592.1 x6 - 2x4 - 4x3 + 2x2 + 4x - 2 \( -\,2^{11}\cdot 7\cdot 97 \) $C_3^2:D_4$ (as 6T13) trivial
6.2.1427456.2 x6 - 2x4 - 4x3 - 6x2 - 4x - 2 \( 2^{11}\cdot 17\cdot 41 \) $C_3^2:D_4$ (as 6T13) trivial
6.2.1427456.3 x6 - 2x2 - 4x - 2 \( 2^{11}\cdot 17\cdot 41 \) $C_3^2:D_4$ (as 6T13) trivial
6.4.1456128.1 x6 - 2x5 + 3x4 - 9x2 + 2x + 1 \( -\,2^{11}\cdot 3^{2}\cdot 79 \) $C_3^2:D_4$ (as 6T13) trivial
6.2.1460224.1 x6 - 2x5 - 3x4 + 8x3 - 7x2 + 2x - 1 \( 2^{11}\cdot 23\cdot 31 \) $C_3^2:D_4$ (as 6T13) trivial
6.2.1492992.4 x6 - 2 \( 2^{11}\cdot 3^{6} \) $D_{6}$ (as 6T3) trivial
6.2.1492992.5 x6 - 4x3 + 2 \( 2^{11}\cdot 3^{6} \) $S_3^2$ (as 6T9) trivial
6.4.1816576.1 x6 - 2x5 - x4 + 4x3 - 9x2 + 6x - 1 \( -\,2^{11}\cdot 887 \) $C_3^2:D_4$ (as 6T13) trivial
6.2.1820672.1 x6 - 2x5 - x4 - 5x2 - 6x - 1 \( 2^{11}\cdot 7\cdot 127 \) $C_3^2:D_4$ (as 6T13) trivial
6.4.1882112.1 x6 - 2x4 - 4x3 - 4x2 + 8x + 2 \( -\,2^{11}\cdot 919 \) $C_3^2:D_4$ (as 6T13) trivial
6.4.1980416.1 x6 - 2x5 - 3x4 + 8x3 + x2 - 6x - 1 \( -\,2^{11}\cdot 967 \) $C_3^2:D_4$ (as 6T13) trivial
6.2.2082816.1 x6 + 2x4 - 4x3 - 2x2 - 4x - 2 \( 2^{11}\cdot 3^{2}\cdot 113 \) $C_3^2:D_4$ (as 6T13) trivial
6.4.2111488.1 x6 - 6x4 - 4x3 + 6x2 + 4x - 2 \( -\,2^{11}\cdot 1031 \) $C_3^2:D_4$ (as 6T13) trivial
6.2.2213888.1 x6 - 2x5 + 5x4 - 4x3 - x2 + 6x - 7 \( 2^{11}\cdot 23\cdot 47 \) $C_3^2:D_4$ (as 6T13) trivial
6.2.2246656.1 x6 - 2x5 + 7x4 - 8x3 + 9x2 - 6x + 1 \( 2^{11}\cdot 1097 \) $C_3^2:D_4$ (as 6T13) trivial
6.2.2246656.2 x6 - 2x5 + x4 + 8x3 - 9x2 + 2x + 1 \( 2^{11}\cdot 1097 \) $C_3^2:D_4$ (as 6T13) trivial
6.2.2246656.3 x6 - 2x4 - 4x3 + 4x2 + 2 \( 2^{11}\cdot 1097 \) $C_3^2:D_4$ (as 6T13) trivial
6.4.2308096.1 x6 + 2x4 - 4x3 - 8x2 + 2 \( -\,2^{11}\cdot 7^{2}\cdot 23 \) $C_3^2:D_4$ (as 6T13) trivial
6.4.2406400.1 x6 - 6x4 + 6x2 - 4x + 2 \( -\,2^{11}\cdot 5^{2}\cdot 47 \) $C_3^2:D_4$ (as 6T13) trivial
6.2.2443264.1 x6 - 2x5 + 7x4 - 8x3 + 3x2 - 6x + 1 \( 2^{11}\cdot 1193 \) $C_3^2:D_4$ (as 6T13) trivial
6.2.2443264.2 x6 + 2x4 - 4x3 + 8x2 - 8x + 2 \( 2^{11}\cdot 1193 \) $C_3^2:D_4$ (as 6T13) trivial
6.2.2443264.3 x6 + 4x4 - 4x3 + 2x2 - 4x + 2 \( 2^{11}\cdot 1193 \) $C_3^2:D_4$ (as 6T13) trivial
6.2.2508800.3 x6 - 2x4 - 4x2 - 2 \( 2^{11}\cdot 5^{2}\cdot 7^{2} \) $D_{6}$ (as 6T3) trivial
6.2.2639872.1 x6 + 2x4 - 8x3 + 6x2 - 4x + 2 \( 2^{11}\cdot 1289 \) $C_3^2:D_4$ (as 6T13) trivial
6.4.2701312.1 x6 - 8x2 - 8x - 2 \( -\,2^{11}\cdot 1319 \) $C_3^2:D_4$ (as 6T13) trivial
6.2.2738176.1 x6 - 2x5 - x4 + 3x2 + 2x - 7 \( 2^{11}\cdot 7\cdot 191 \) $C_3^2:D_4$ (as 6T13) trivial
6.6.2803712.1 x6 - 6x4 + 8x2 - 2 \( 2^{11}\cdot 37^{2} \) $D_{6}$ (as 6T3) trivial
6.4.2865152.1 x6 - 4x4 + 2x2 - 4x - 2 \( -\,2^{11}\cdot 1399 \) $C_3^2:D_4$ (as 6T13) trivial
6.2.2967552.1 x6 - 2x5 + x4 - 4x3 - 7x2 - 2x - 1 \( 2^{11}\cdot 3^{2}\cdot 7\cdot 23 \) $C_3^2:D_4$ (as 6T13) trivial
6.2.3196928.1 x6 - 4x3 - 2x2 - 4x + 2 \( 2^{11}\cdot 7\cdot 223 \) $C_3^2:D_4$ (as 6T13) trivial
6.4.3291136.1 x6 - 4x4 - 4x3 + 4x2 + 8x + 2 \( -\,2^{11}\cdot 1607 \) $C_3^2:D_4$ (as 6T13) trivial
6.2.3295232.1 x6 - 2x5 + 5x4 - 12x3 + 13x2 - 2x - 1 \( 2^{11}\cdot 1609 \) $C_3^2:D_4$ (as 6T13) trivial
6.2.3426304.3 x6 - 2x5 + x4 - 4x3 + 9x2 - 10x + 7 \( 2^{11}\cdot 7\cdot 239 \) $C_3^2:D_4$ (as 6T13) trivial
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