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Results (displaying all 10 matches)

Label Polynomial Discriminant Galois group Class group
12.0.1381408203125.1 x12 - 6x11 + 10x10 + 5x9 - 24x8 + 29x6 - 24x4 + 5x3 + 10x2 - 6x + 1 \( 5^{9}\cdot 29^{4} \) $(C_3\times C_3):C_4$ (as 12T17) Trivial
12.0.1803751953125.2 x12 - 5x11 + 16x10 - 35x9 + 61x8 - 85x7 + 106x6 - 120x5 + 126x4 - 110x3 + 75x2 - 30x + 5 \( 5^{9}\cdot 31^{4} \) $(C_3\times C_3):C_4$ (as 12T17) Trivial
12.0.20624432955392.2 x12 + 4x8 + 4x6 + 5x4 + 12x2 + 2 \( 2^{33}\cdot 7^{4} \) $(C_3\times C_3):C_4$ (as 12T17) Trivial
12.0.41085390865563648.12 x12 - 24x8 - 12x6 + 189x4 + 324x2 + 18 \( 2^{33}\cdot 3^{14} \) $(C_3\times C_3):C_4$ (as 12T17) $[2]$
12.0.41085390865563648.20 x12 + 12x10 - 8x9 + 78x8 - 72x7 + 308x6 - 288x5 + 711x4 - 592x3 + 924x2 - 816x + 526 \( 2^{33}\cdot 3^{14} \) $(C_3\times C_3):C_4$ (as 12T17) $[2]$
12.0.49519263525896192.12 x12 - 4x11 - 2x10 + 20x9 + 15x8 - 40x7 - 60x6 + 80x5 + 270x4 + 288x3 + 192x2 + 128x + 64 \( 2^{33}\cdot 7^{8} \) $(C_3\times C_3):C_4$ (as 12T17) $[3, 3]$
12.12.136772361580078125.1 x12 - 6x11 + 55x9 - 84x8 - 60x7 + 189x6 - 60x5 - 84x4 + 55x3 - 6x + 1 \( 3^{14}\cdot 5^{9}\cdot 11^{4} \) $(C_3\times C_3):C_4$ (as 12T17) Trivial (GRH)
12.0.369768517790072832.57 x12 - 12x10 + 18x8 + 124x6 + 81x4 + 144x2 + 32 \( 2^{33}\cdot 3^{16} \) $(C_3\times C_3):C_4$ (as 12T17) Trivial
12.0.369768517790072832.60 x12 - 12x10 + 54x8 - 24x7 + 124x6 - 360x5 + 783x4 - 704x3 + 468x2 - 192x + 46 \( 2^{33}\cdot 3^{16} \) $(C_3\times C_3):C_4$ (as 12T17) Trivial
12.12.867069015201489152.1 x12 - 6x11 - x10 + 60x9 - 92x8 - 58x7 + 193x6 - 58x5 - 92x4 + 60x3 - x2 - 6x + 1 \( 2^{8}\cdot 13^{4}\cdot 17^{9} \) $(C_3\times C_3):C_4$ (as 12T17) Trivial


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