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Results (displaying all 12 matches)

Label Polynomial Discriminant Galois group Class group
12.2.530569362483.1 x12 - x11 + x10 - 3x9 + 6x8 - 7x7 + 4x6 - 6x5 + 10x4 - 11x3 + 5x2 + x - 1 \( -\,3^{4}\cdot 17^{2}\cdot 283^{3} \) 12T258 Trivial
12.2.3781117849600.1 x12 - 4x11 + 8x10 - 10x9 + 6x8 + 4x7 - 12x6 + 12x5 - 5x4 - 2x3 + 4x2 - 2x + 1 \( -\,2^{12}\cdot 5^{2}\cdot 7^{5}\cdot 13^{3} \) 12T258 Trivial
12.0.13249859088384.1 x12 - 4x9 + 9x6 - 8x3 + 3 \( 2^{12}\cdot 3^{8}\cdot 79^{3} \) 12T258 Trivial
12.0.36083978714052.1 x12 - 3x9 + 4x6 - 3x3 + 2 \( 2^{2}\cdot 3^{12}\cdot 257^{3} \) 12T258 Trivial
12.4.49174790088573.1 x12 - 4x9 + 2x6 + 5x3 - 3 \( 3^{8}\cdot 19^{3}\cdot 103^{3} \) 12T258 Trivial
12.4.1248484242794148.1 x12 - 4x9 - x6 + 5x3 + 2 \( 2^{2}\cdot 3^{6}\cdot 7537^{3} \) 12T258 Trivial
12.0.4538360265350400.1 x12 + 9x10 - 8x9 + 63x8 - 48x7 + 209x6 - 162x5 + 381x4 - 32x3 + 120x + 80 \( 2^{8}\cdot 3^{10}\cdot 5^{2}\cdot 229^{3} \) 12T258 Trivial
12.6.15466207695077376.1 x12 - 6x11 + 8x10 + 12x9 - 27x8 + 4x7 - 22x6 + 28x5 + 75x4 + 10x3 - 78x2 - 36x + 3 \( -\,2^{20}\cdot 3^{8}\cdot 131^{3} \) 12T258 Trivial
12.0.30133342996070400.1 x12 - 2x10 - 12x9 - 3x8 + 8x7 + 38x6 + 48x5 + 63x4 + 60x3 + 36x2 + 12x + 3 \( 2^{16}\cdot 3^{11}\cdot 5^{2}\cdot 47^{3} \) 12T258 Trivial
12.6.415030544459366400.1 x12 + 6x10 - 4x9 - 54x8 - 24x7 - 200x6 + 72x5 + 750x4 + 508x3 + 180x2 + 120x + 20 \( -\,2^{20}\cdot 3^{12}\cdot 5^{2}\cdot 31^{3} \) 12T258 Trivial
12.12.73351826973435923712.1 x12 - x11 - 39x10 + 101x9 + 284x8 - 1131x7 + 32x6 + 3233x5 - 2670x4 - 1469x3 + 2001x2 - 390x + 21 \( 2^{8}\cdot 3^{6}\cdot 19^{3}\cdot 103^{3}\cdot 229^{2} \) 12T258 Trivial (GRH)
12.12.421584523590712626432.1 x12 - 45x10 - 30x9 + 648x8 + 864x7 - 2898x6 - 6372x5 + 693x4 + 12232x3 + 13176x2 + 5856x + 976 \( 2^{8}\cdot 3^{10}\cdot 19^{3}\cdot 61^{2}\cdot 103^{3} \) 12T258 Trivial (GRH)


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