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Label Polynomial Discriminant Galois group Class group
12.2.458342033107.1 x12 - 3x11 + 2x10 + 3x9 - 6x8 + 3x7 + 4x6 - 10x5 + 8x4 - x3 - 2x2 + x - 1 \( -\,7^{8}\cdot 43^{3} \) $(C_2^2.\SL(2,3)):C_2$ (as 12T104) Trivial
12.2.458342033107.2 x12 - 4x11 + 6x10 - 4x9 + x8 - 3x7 + 5x6 - 3x5 + x4 - 4x3 + 6x2 - 4x + 1 \( -\,7^{8}\cdot 43^{3} \) $(C_2^2.\SL(2,3)):C_2$ (as 12T104) Trivial
12.6.11808520366783.1 x12 - 6x11 + 15x10 - 20x9 + 11x8 + 10x7 - 30x6 + 37x5 - 15x4 - 13x3 + 17x2 - 7x + 1 \( -\,7^{8}\cdot 127^{3} \) $(C_2^2.\SL(2,3)):C_2$ (as 12T104) Trivial
12.6.11808520366783.2 x12 - x11 - 5x10 + 6x9 + 16x8 - 6x7 - 26x6 - 3x5 + 18x4 + 6x3 - 6x2 - 2x + 1 \( -\,7^{8}\cdot 127^{3} \) $(C_2^2.\SL(2,3)):C_2$ (as 12T104) Trivial
12.6.96717311574016.1 x12 - 6x10 + 14x8 - 16x6 + 7x4 + 2x2 - 1 \( -\,2^{24}\cdot 7^{8} \) $(C_2^2.\SL(2,3)):C_2$ (as 12T104) Trivial
12.6.96717311574016.2 x12 - 6x10 + 13x8 - 12x6 + 2x4 + 4x2 - 1 \( -\,2^{24}\cdot 7^{8} \) $(C_2^2.\SL(2,3)):C_2$ (as 12T104) Trivial
12.6.96717311574016.3 x12 - 2x10 - 7x8 + 2x6 + 14x4 + 6x2 - 1 \( -\,2^{24}\cdot 7^{8} \) $(C_2^2.\SL(2,3)):C_2$ (as 12T104) Trivial
12.6.96717311574016.4 x12 - 2x10 - 4x8 + 12x6 - 17x4 + 12x2 - 1 \( -\,2^{24}\cdot 7^{8} \) $(C_2^2.\SL(2,3)):C_2$ (as 12T104) Trivial
12.2.96717311574016.5 x12 + 2x10 - 4x8 - 12x6 - 17x4 - 12x2 - 1 \( -\,2^{24}\cdot 7^{8} \) $(C_2^2.\SL(2,3)):C_2$ (as 12T104) Trivial
12.2.96717311574016.6 x12 + 2x10 - 7x8 - 2x6 + 14x4 - 6x2 - 1 \( -\,2^{24}\cdot 7^{8} \) $(C_2^2.\SL(2,3)):C_2$ (as 12T104) Trivial
12.2.96717311574016.7 x12 + 6x10 + 13x8 + 12x6 + 2x4 - 4x2 - 1 \( -\,2^{24}\cdot 7^{8} \) $(C_2^2.\SL(2,3)):C_2$ (as 12T104) Trivial
12.2.96717311574016.8 x12 + 6x10 + 14x8 + 16x6 + 7x4 - 2x2 - 1 \( -\,2^{24}\cdot 7^{8} \) $(C_2^2.\SL(2,3)):C_2$ (as 12T104) Trivial
12.4.329108238471933.1 x12 - 6x11 + 15x10 - 18x9 + 33x7 - 42x6 + 27x5 - 36x4 + 46x3 - 27x2 + 9x - 1 \( 3^{16}\cdot 197^{3} \) $(C_2^2.\SL(2,3)):C_2$ (as 12T104) Trivial
12.4.329108238471933.2 x12 - 6x10 - 8x9 + 6x8 + 39x7 + 18x6 - 24x5 - 54x4 - 37x3 - 12x2 + 3x + 1 \( 3^{16}\cdot 197^{3} \) $(C_2^2.\SL(2,3)):C_2$ (as 12T104) Trivial
12.6.722204136308736.1 x12 - 6x10 + 15x8 - 20x6 + 12x4 - 1 \( -\,2^{24}\cdot 3^{16} \) $(C_2^2.\SL(2,3)):C_2$ (as 12T104) Trivial
12.6.722204136308736.2 x12 - 6x10 + 12x8 - 8x6 - 3x4 + 6x2 - 1 \( -\,2^{24}\cdot 3^{16} \) $(C_2^2.\SL(2,3)):C_2$ (as 12T104) Trivial
12.6.722204136308736.3 x12 - 9x8 - 14x6 + 6x2 - 1 \( -\,2^{24}\cdot 3^{16} \) $(C_2^2.\SL(2,3)):C_2$ (as 12T104) Trivial
12.6.722204136308736.4 x12 - 9x8 + 4x6 + 6x2 - 1 \( -\,2^{24}\cdot 3^{16} \) $(C_2^2.\SL(2,3)):C_2$ (as 12T104) Trivial
12.2.722204136308736.9 x12 + 6x10 + 12x8 + 8x6 - 3x4 - 6x2 - 1 \( -\,2^{24}\cdot 3^{16} \) $(C_2^2.\SL(2,3)):C_2$ (as 12T104) Trivial
12.2.722204136308736.10 x12 - 9x8 - 4x6 - 6x2 - 1 \( -\,2^{24}\cdot 3^{16} \) $(C_2^2.\SL(2,3)):C_2$ (as 12T104) Trivial
12.2.722204136308736.11 x12 - 9x8 + 14x6 - 6x2 - 1 \( -\,2^{24}\cdot 3^{16} \) $(C_2^2.\SL(2,3)):C_2$ (as 12T104) Trivial
12.2.722204136308736.14 x12 + 6x10 + 15x8 + 20x6 + 12x4 - 1 \( -\,2^{24}\cdot 3^{16} \) $(C_2^2.\SL(2,3)):C_2$ (as 12T104) Trivial
12.6.847474419214843.1 x12 - 3x11 - 6x10 + 20x9 + 7x8 - 11x7 - 51x6 + 12x5 + 11x4 - 3x3 + 47x2 + 6x - 1 \( -\,7^{8}\cdot 43^{5} \) $(C_2^2.\SL(2,3)):C_2$ (as 12T104) Trivial
12.6.847474419214843.2 x12 - 4x11 + 6x10 + 8x9 - 67x8 + 136x7 - 140x6 + 2x5 + 208x4 - 108x3 - 7x2 + 9x - 1 \( -\,7^{8}\cdot 43^{5} \) $(C_2^2.\SL(2,3)):C_2$ (as 12T104) Trivial
12.6.873360422339584.1 x12 - x10 - 6x8 - 5x6 + 23x4 + 12x2 - 16 \( -\,2^{10}\cdot 31^{8} \) $(C_2^2.\SL(2,3)):C_2$ (as 12T104) Trivial
12.6.873360422339584.2 x12 - x11 - 9x10 + 3x9 + 27x8 + 6x7 - 26x6 - 23x5 - 7x4 + 11x3 + 13x2 + 6x + 1 \( -\,2^{10}\cdot 31^{8} \) $(C_2^2.\SL(2,3)):C_2$ (as 12T104) Trivial
12.8.1985813112316901.1 x12 - 2x11 - 3x10 + 13x9 - 38x8 + 40x7 + 70x6 - 160x5 + 87x4 + 3x3 - 18x2 + 7x - 1 \( 7^{8}\cdot 701^{3} \) $(C_2^2.\SL(2,3)):C_2$ (as 12T104) Trivial
12.8.1985813112316901.2 x12 - 3x11 - 6x10 + 16x9 + 11x8 - 32x7 - 11x6 + 57x5 + 2x4 - 37x3 - 5x2 + 5x + 1 \( 7^{8}\cdot 701^{3} \) $(C_2^2.\SL(2,3)):C_2$ (as 12T104) Trivial
12.2.3493441689358336.1 x12 + 4x10 - x8 - 26x6 - 53x4 - 48x2 - 16 \( -\,2^{12}\cdot 31^{8} \) $(C_2^2.\SL(2,3)):C_2$ (as 12T104) Trivial
12.2.3493441689358336.2 x12 + 6x10 + 26x8 + 64x6 + 49x4 - 14x2 - 4 \( -\,2^{12}\cdot 31^{8} \) $(C_2^2.\SL(2,3)):C_2$ (as 12T104) Trivial
12.2.3493441689358336.3 x12 + 8x10 + 19x8 + 18x6 - x4 - 12x2 - 4 \( -\,2^{12}\cdot 31^{8} \) $(C_2^2.\SL(2,3)):C_2$ (as 12T104) Trivial
12.2.3493441689358336.4 x12 + 9x10 + 10x8 - 13x6 - 5x4 + 10x2 - 4 \( -\,2^{12}\cdot 31^{8} \) $(C_2^2.\SL(2,3)):C_2$ (as 12T104) Trivial
12.2.4739148267126784.1 x12 - 7x8 + 42x6 - 98x4 - 392x2 - 49 \( -\,2^{24}\cdot 7^{10} \) $(C_2^2.\SL(2,3)):C_2$ (as 12T104) Trivial
12.6.4739148267126784.1 x12 - 21x8 - 42x6 + 98x2 - 49 \( -\,2^{24}\cdot 7^{10} \) $(C_2^2.\SL(2,3)):C_2$ (as 12T104) Trivial
12.6.4739148267126784.2 x12 - 21x8 - 28x6 + 98x2 - 49 \( -\,2^{24}\cdot 7^{10} \) $(C_2^2.\SL(2,3)):C_2$ (as 12T104) Trivial
12.6.4739148267126784.3 x12 - 35x8 - 28x6 + 147x4 + 196x2 - 49 \( -\,2^{24}\cdot 7^{10} \) $(C_2^2.\SL(2,3)):C_2$ (as 12T104) Trivial
12.2.4739148267126784.4 x12 - 35x8 + 28x6 + 147x4 - 196x2 - 49 \( -\,2^{24}\cdot 7^{10} \) $(C_2^2.\SL(2,3)):C_2$ (as 12T104) Trivial
12.6.4739148267126784.4 x12 - 7x8 - 42x6 - 98x4 + 392x2 - 49 \( -\,2^{24}\cdot 7^{10} \) $(C_2^2.\SL(2,3)):C_2$ (as 12T104) Trivial
12.2.4739148267126784.5 x12 - 21x8 + 28x6 - 98x2 - 49 \( -\,2^{24}\cdot 7^{10} \) $(C_2^2.\SL(2,3)):C_2$ (as 12T104) Trivial
12.2.4739148267126784.6 x12 - 21x8 + 42x6 - 98x2 - 49 \( -\,2^{24}\cdot 7^{10} \) $(C_2^2.\SL(2,3)):C_2$ (as 12T104) Trivial
12.6.6499837226778624.1 x12 - 6x10 + 9x8 - 12x6 + 54x4 - 54x2 - 9 \( -\,2^{24}\cdot 3^{18} \) $(C_2^2.\SL(2,3)):C_2$ (as 12T104) Trivial
12.6.6499837226778624.2 x12 - 6x10 + 24x6 + 27x4 - 9 \( -\,2^{24}\cdot 3^{18} \) $(C_2^2.\SL(2,3)):C_2$ (as 12T104) Trivial (GRH)
12.6.6499837226778624.3 x12 - 6x10 + 42x6 - 81x4 + 54x2 - 9 \( -\,2^{24}\cdot 3^{18} \) $(C_2^2.\SL(2,3)):C_2$ (as 12T104) Trivial (GRH)
12.6.6499837226778624.4 x12 - 6x10 + 9x8 + 6x6 - 54x4 + 54x2 - 9 \( -\,2^{24}\cdot 3^{18} \) $(C_2^2.\SL(2,3)):C_2$ (as 12T104) Trivial
12.2.6499837226778624.4 x12 + 6x10 - 42x6 - 81x4 - 54x2 - 9 \( -\,2^{24}\cdot 3^{18} \) $(C_2^2.\SL(2,3)):C_2$ (as 12T104) Trivial
12.2.6499837226778624.5 x12 + 6x10 + 9x8 - 6x6 - 54x4 - 54x2 - 9 \( -\,2^{24}\cdot 3^{18} \) $(C_2^2.\SL(2,3)):C_2$ (as 12T104) Trivial
12.2.6499837226778624.9 x12 + 6x10 - 24x6 + 27x4 - 9 \( -\,2^{24}\cdot 3^{18} \) $(C_2^2.\SL(2,3)):C_2$ (as 12T104) Trivial
12.2.6499837226778624.12 x12 + 6x10 + 9x8 + 12x6 + 54x4 + 54x2 - 9 \( -\,2^{24}\cdot 3^{18} \) $(C_2^2.\SL(2,3)):C_2$ (as 12T104) Trivial
12.6.13685690504052736.1 x12 - 6x10 + 16x8 - 24x6 + 17x4 - 2x2 - 1 \( -\,2^{24}\cdot 13^{8} \) $(C_2^2.\SL(2,3)):C_2$ (as 12T104) Trivial (GRH)
12.6.13685690504052736.2 x12 - 6x10 + 11x8 - 4x6 - 8x4 + 8x2 - 1 \( -\,2^{24}\cdot 13^{8} \) $(C_2^2.\SL(2,3)):C_2$ (as 12T104) Trivial
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