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Label Polynomial Discriminant Galois group Class group
12.0.73645476129.1 x12 - x11 - x10 + 2x9 - 2x7 + 3x5 - 2x4 + 2x2 - 2x + 1 \( 3^{6}\cdot 19^{2}\cdot 23^{4} \) $C_2^2\times S_4$ (as 12T48) Trivial
12.0.81462863889.1 x12 - x11 + 2x10 - 3x9 + 3x8 - 3x7 + 5x6 - 3x5 + 3x4 - 4x3 + x2 - x + 1 \( 3^{6}\cdot 11^{2}\cdot 31^{4} \) $C_2^2\times S_4$ (as 12T48) Trivial
12.0.214253265625.1 x12 - x11 + 5x9 - 7x8 + 5x7 + 7x6 - 19x5 + 27x4 - 22x3 + 13x2 - 5x + 1 \( 5^{6}\cdot 7^{2}\cdot 23^{4} \) $C_2^2\times S_4$ (as 12T48) Trivial
12.0.529074390625.1 x12 - 4x11 + 10x10 - 18x9 + 26x8 - 35x7 + 40x6 - 40x5 + 42x4 - 36x3 + 21x2 - 7x + 1 \( 5^{6}\cdot 11^{2}\cdot 23^{4} \) $C_2^2\times S_4$ (as 12T48) Trivial
12.0.741637881856.1 x12 - 2x10 + 4x6 - 2x2 + 1 \( 2^{20}\cdot 29^{4} \) $C_2^2\times S_4$ (as 12T48) Trivial
12.0.982540877824.1 x12 - x8 + 3x4 + 1 \( 2^{26}\cdot 11^{4} \) $C_2^2\times S_4$ (as 12T48) Trivial
12.4.1263657015625.1 x12 - x11 - x10 - 3x9 + x8 + 2x7 - x6 + 11x5 - 11x4 + 20x3 - 7x2 + 13x + 1 \( 5^{6}\cdot 17^{2}\cdot 23^{4} \) $C_2^2\times S_4$ (as 12T48) Trivial
12.0.1916696264704.1 x12 + 2x8 - 2x6 + 2x4 + 1 \( 2^{26}\cdot 13^{4} \) $C_2^2\times S_4$ (as 12T48) Trivial
12.0.2552632508416.1 x12 - 2x11 + 2x10 + 2x7 - 4x6 + 2x5 + 2x2 - 2x + 1 \( 2^{16}\cdot 79^{4} \) $C_2^2\times S_4$ (as 12T48) Trivial
12.0.2966551527424.3 x12 + 3x8 - 2x6 + 10x4 - 12x2 + 4 \( 2^{22}\cdot 29^{4} \) $C_2^2\times S_4$ (as 12T48) Trivial
12.0.2966551527424.4 x12 - 4x8 + 4x4 + 16 \( 2^{22}\cdot 29^{4} \) $C_2^2\times S_4$ (as 12T48) Trivial
12.0.3070625382400.1 x12 + x10 - 2x8 + x6 - 2x4 + x2 + 1 \( 2^{16}\cdot 5^{2}\cdot 37^{4} \) $C_2^2\times S_4$ (as 12T48) Trivial
12.0.3930163511296.1 x12 + 2x10 + 7x8 + 27x4 - 10x2 + 1 \( 2^{28}\cdot 11^{4} \) $C_2^2\times S_4$ (as 12T48) Trivial
12.0.3930163511296.4 x12 - 2x10 + 7x8 + 27x4 + 10x2 + 1 \( 2^{28}\cdot 11^{4} \) $C_2^2\times S_4$ (as 12T48) Trivial
12.0.4694952902656.3 x12 - 6x10 + 14x8 - 16x6 + 9x4 - 2x2 + 1 \( 2^{24}\cdot 23^{4} \) $C_2^2\times S_4$ (as 12T48) Trivial
12.0.4694952902656.6 x12 + x8 + 2x4 + 1 \( 2^{24}\cdot 23^{4} \) $C_2^2\times S_4$ (as 12T48) Trivial
12.0.4694952902656.9 x12 + 6x10 + 14x8 + 16x6 + 9x4 + 2x2 + 1 \( 2^{24}\cdot 23^{4} \) $C_2^2\times S_4$ (as 12T48) Trivial
12.0.5015306502144.2 x12 + 3x10 - 7x6 + 3x2 + 1 \( 2^{20}\cdot 3^{14} \) $C_2^2\times S_4$ (as 12T48) Trivial
12.0.5061276073984.2 x12 - x10 - 4x8 + 9x6 - 4x4 - x2 + 1 \( 2^{20}\cdot 13^{6} \) $C_2^2\times S_4$ (as 12T48) Trivial
12.0.5061276073984.3 x12 + 2x10 + 6x8 - 2x6 + x4 - 4x2 + 4 \( 2^{20}\cdot 13^{6} \) $C_2^2\times S_4$ (as 12T48) Trivial
12.0.5061276073984.4 x12 - 2x11 + 2x10 - 2x9 - 2x8 + 2x7 + 2x6 + 6x5 + x4 - 4x3 + 4 \( 2^{20}\cdot 13^{6} \) $C_2^2\times S_4$ (as 12T48) Trivial
12.4.5985973890625.1 x12 - x11 - 3x10 + 2x9 - 4x8 + 22x7 - 18x6 + x5 - 20x4 + 24x3 + 4x2 - 8x + 1 \( 5^{6}\cdot 23^{4}\cdot 37^{2} \) $C_2^2\times S_4$ (as 12T48) Trivial
12.0.7666785058816.1 x12 - 2x10 + 9x8 - 8x6 + 9x4 - 2x2 + 1 \( 2^{28}\cdot 13^{4} \) $C_2^2\times S_4$ (as 12T48) Trivial
12.0.7666785058816.3 x12 - 6x11 + 21x10 - 50x9 + 89x8 - 120x7 + 126x6 - 108x5 + 84x4 - 60x3 + 34x2 - 12x + 2 \( 2^{28}\cdot 13^{4} \) $C_2^2\times S_4$ (as 12T48) Trivial
12.0.7666785058816.5 x12 + x10 + 2x8 - 2x6 + 13x4 - 11x2 + 4 \( 2^{28}\cdot 13^{4} \) $C_2^2\times S_4$ (as 12T48) Trivial
12.0.7666785058816.6 x12 + 2x10 - x8 - 12x6 + 2x4 + 8x2 + 4 \( 2^{28}\cdot 13^{4} \) $C_2^2\times S_4$ (as 12T48) Trivial
12.0.8745694265344.2 x12 - 5x8 + 7x4 + 1 \( 2^{26}\cdot 19^{4} \) $C_2^2\times S_4$ (as 12T48) Trivial
12.0.8745694265344.3 x12 + 4x10 + 6x8 + 10x6 + 6x4 + 4x2 + 1 \( 2^{26}\cdot 19^{4} \) $C_2^2\times S_4$ (as 12T48) Trivial
12.0.10240000000000.1 x12 - x10 + 5x6 - x2 + 1 \( 2^{20}\cdot 5^{10} \) $C_2^2\times S_4$ (as 12T48) Trivial
12.0.15494111297536.1 x12 - 2x8 + x4 + 1 \( 2^{24}\cdot 31^{4} \) $C_2^2\times S_4$ (as 12T48) Trivial
12.0.15494111297536.10 x12 + 2x10 + x8 - 4x6 - 6x4 - 2x2 + 9 \( 2^{24}\cdot 31^{4} \) $C_2^2\times S_4$ (as 12T48) Trivial
12.0.15494111297536.11 x12 - 2x10 + x8 + 4x6 - 6x4 + 2x2 + 9 \( 2^{24}\cdot 31^{4} \) $C_2^2\times S_4$ (as 12T48) Trivial
12.0.20061226008576.6 x12 - 3x10 + 3x8 - 14x6 + 30x4 - 12x2 + 4 \( 2^{22}\cdot 3^{14} \) $C_2^2\times S_4$ (as 12T48) Trivial
12.4.20245104295936.2 x12 - 6x10 + 8x8 - 4x7 - 10x6 - 12x5 + 8x4 + 16x3 - 4x - 1 \( 2^{22}\cdot 13^{6} \) $C_2^2\times S_4$ (as 12T48) Trivial
12.4.20245104295936.3 x12 - 7x10 + 7x8 - 10x6 + 2x4 + 4x2 + 4 \( 2^{22}\cdot 13^{6} \) $C_2^2\times S_4$ (as 12T48) Trivial
12.0.30667140235264.4 x12 - 9x8 + 23x4 + 1 \( 2^{30}\cdot 13^{4} \) $C_2^2\times S_4$ (as 12T48) $[2]$
12.0.30667140235264.5 x12 + 2x10 - 3x8 + 8x6 - 3x4 + 2x2 + 1 \( 2^{30}\cdot 13^{4} \) $C_2^2\times S_4$ (as 12T48) Trivial
12.0.30667140235264.8 x12 + 2x10 + 11x8 + 24x6 + 30x4 + 16x2 + 4 \( 2^{30}\cdot 13^{4} \) $C_2^2\times S_4$ (as 12T48) Trivial
12.0.34982777061376.1 x12 - 6x11 + 21x10 - 50x9 + 96x8 - 150x7 + 201x6 - 222x5 + 194x4 - 126x3 + 51x2 - 10x + 1 \( 2^{28}\cdot 19^{4} \) $C_2^2\times S_4$ (as 12T48) Trivial
12.0.34982777061376.3 x12 - 2x10 + 9x8 + 16x6 + 9x4 - 2x2 + 1 \( 2^{28}\cdot 19^{4} \) $C_2^2\times S_4$ (as 12T48) Trivial
12.0.34982777061376.6 x12 + 6x10 + 17x8 + 28x6 + 20x4 + 4 \( 2^{28}\cdot 19^{4} \) $C_2^2\times S_4$ (as 12T48) Trivial
12.0.34982777061376.7 x12 + 6x10 + 15x8 + 20x6 + 7x4 - 10x2 + 9 \( 2^{28}\cdot 19^{4} \) $C_2^2\times S_4$ (as 12T48) Trivial
12.0.34982777061376.8 x12 - 6x10 + 15x8 - 20x6 + 7x4 + 10x2 + 9 \( 2^{28}\cdot 19^{4} \) $C_2^2\times S_4$ (as 12T48) Trivial
12.0.34982777061376.9 x12 - 2x10 + x8 - 8x6 + 9x4 + 14x2 + 25 \( 2^{28}\cdot 19^{4} \) $C_2^2\times S_4$ (as 12T48) Trivial
12.0.35664401793024.3 x12 + 3x8 + 15x4 + 1 \( 2^{26}\cdot 3^{12} \) $C_2^2\times S_4$ (as 12T48) Trivial
12.0.35664401793024.8 x12 + 6x10 + 9x8 - 6x6 - 3x4 + 12x2 + 4 \( 2^{26}\cdot 3^{12} \) $C_2^2\times S_4$ (as 12T48) Trivial
12.0.38982341165056.3 x12 - 4x11 + 9x10 - 4x9 - 8x8 + 30x7 - 21x6 + 4x5 + 35x4 - 34x3 + 34x2 - 12x + 4 \( 2^{16}\cdot 29^{6} \) $C_2^2\times S_4$ (as 12T48) Trivial
12.4.40960000000000.2 x12 - 7x10 + 15x8 - 10x6 + 10x4 - 12x2 + 4 \( 2^{22}\cdot 5^{10} \) $C_2^2\times S_4$ (as 12T48) Trivial
12.0.47464824438784.7 x12 + 9x8 - 28x6 + 52x4 - 24x2 + 4 \( 2^{26}\cdot 29^{4} \) $C_2^2\times S_4$ (as 12T48) $[2]$
12.0.47464824438784.13 x12 + 9x8 + 28x6 + 52x4 + 24x2 + 4 \( 2^{26}\cdot 29^{4} \) $C_2^2\times S_4$ (as 12T48) $[2]$
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