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Results (displaying all 25 matches)

Label Polynomial Discriminant Galois group Class group
12.0.389136420864.1 x12 - x10 + x8 - 2x6 + 4x4 - 3x2 + 1 \( 2^{12}\cdot 3^{6}\cdot 19^{4} \) $A_4\wr C_2$ (as 12T126) Trivial
12.0.479174066176.2 x12 - 2x10 + 3x8 - 4x6 + 4x4 - 2x2 + 1 \( 2^{24}\cdot 13^{4} \) $A_4\wr C_2$ (as 12T126) Trivial
12.4.5832828765625.1 x12 - x11 - 2x10 + 2x8 + x7 - x6 + x5 + 2x4 - 2x2 - x + 1 \( 5^{6}\cdot 139^{4} \) $A_4\wr C_2$ (as 12T126) Trivial
12.0.7044820107264.1 x12 - 2x10 + 3x8 - 2x6 + 2x4 + 1 \( 2^{30}\cdot 3^{8} \) $A_4\wr C_2$ (as 12T126) Trivial
12.4.8340544000000.1 x12 - 2x11 - x8 + 2x7 - 4x6 + 2x5 - x4 - 2x + 1 \( 2^{12}\cdot 5^{6}\cdot 19^{4} \) $A_4\wr C_2$ (as 12T126) Trivial
12.0.128536820158464.3 x12 - 6x10 + 15x8 - 17x6 + 6x4 + 3x2 + 1 \( 2^{12}\cdot 3^{22} \) $A_4\wr C_2$ (as 12T126) Trivial
12.0.139931108245504.2 x12 - 4x10 + 6x8 - 6x6 + 7x4 - 2x2 + 1 \( 2^{30}\cdot 19^{4} \) $A_4\wr C_2$ (as 12T126) Trivial
12.0.406239826673664.6 x12 - 3x10 + 25x6 + 30x4 + 9x2 + 1 \( 2^{20}\cdot 3^{18} \) $A_4\wr C_2$ (as 12T126) Trivial
12.8.612593437890625.1 x12 - 5x11 + 3x10 + 29x9 - 76x8 + 51x7 + 76x6 - 174x5 + 126x4 - 55x2 + 30x - 5 \( 5^{8}\cdot 199^{4} \) $A_4\wr C_2$ (as 12T126) Trivial
12.8.657980213765625.1 x12 - 4x11 + 4x10 - x9 - 14x8 + 37x7 + 12x6 - 38x5 + 29x4 + 21x3 - 54x2 - 45x - 9 \( 3^{4}\cdot 5^{6}\cdot 151^{4} \) $A_4\wr C_2$ (as 12T126) Trivial
12.0.722204136308736.5 x12 + 3x8 - 16x6 + 18x4 - 6x2 + 1 \( 2^{24}\cdot 3^{16} \) $A_4\wr C_2$ (as 12T126) Trivial
12.12.23891266624000000.1 x12 - 12x10 + 48x8 - 80x6 + 54x4 - 13x2 + 1 \( 2^{12}\cdot 5^{6}\cdot 139^{4} \) $A_4\wr C_2$ (as 12T126) Trivial
12.12.32020222185570304.1 x12 - 4x11 - 10x10 + 36x9 + 50x8 - 108x7 - 136x6 + 104x5 + 151x4 - 8x3 - 52x2 - 16x - 1 \( 2^{24}\cdot 7^{2}\cdot 79^{4} \) $A_4\wr C_2$ (as 12T126) Trivial
12.0.32905425960566784.15 x12 - 9x10 + 36x8 - 75x6 + 54x4 + 27x2 + 9 \( 2^{20}\cdot 3^{22} \) $A_4\wr C_2$ (as 12T126) Trivial
12.0.32905425960566784.16 x12 + 45x8 + 6x6 + 81x4 + 54x2 + 9 \( 2^{20}\cdot 3^{22} \) $A_4\wr C_2$ (as 12T126) Trivial
12.0.415989582513831936.5 x12 - 6x8 - 2x6 + 63x4 + 6x2 + 1 \( 2^{30}\cdot 3^{18} \) $A_4\wr C_2$ (as 12T126) $[2]$
12.4.526486815369068544.37 x12 + 12x10 + 42x8 + 22x6 - 75x4 - 42x2 + 25 \( 2^{24}\cdot 3^{22} \) $A_4\wr C_2$ (as 12T126) Trivial
12.0.3357197463473360896.4 x12 + x10 + 3x8 + 11x6 + 13x4 + 5x2 + 1 \( 2^{12}\cdot 31^{10} \) $A_4\wr C_2$ (as 12T126) $[9]$
12.0.6428888932339941376.5 x12 - 4x10 + 13x8 + 18x6 + 29x4 + 10x2 + 1 \( 2^{20}\cdot 19^{10} \) $A_4\wr C_2$ (as 12T126) $[3]$
12.4.33695156183620386816.16 x12 - 6x10 - 57x8 - 74x6 - 12x4 + 12x2 + 1 \( 2^{30}\cdot 3^{22} \) $A_4\wr C_2$ (as 12T126) Trivial
12.4.33695156183620386816.17 x12 + 12x10 + 6x8 - 182x6 - 273x4 + 30x2 + 1 \( 2^{30}\cdot 3^{22} \) $A_4\wr C_2$ (as 12T126) Trivial (GRH)
12.8.33695156183620386816.18 x12 - 6x10 - 21x8 + 130x6 + 42x4 - 312x2 + 25 \( 2^{30}\cdot 3^{22} \) $A_4\wr C_2$ (as 12T126) Trivial
12.8.33695156183620386816.19 x12 - 6x10 - 21x8 + 130x6 - 102x4 - 24x2 + 25 \( 2^{30}\cdot 3^{22} \) $A_4\wr C_2$ (as 12T126) Trivial (GRH)
12.0.102862222917439062016.4 x12 - 4x10 - 6x8 + 18x6 + 181x4 + 10x2 + 1 \( 2^{24}\cdot 19^{10} \) $A_4\wr C_2$ (as 12T126) $[18]$ (GRH)
12.0.148024428491834392576.3 x12 + 8x10 + 18x8 + 6x6 + 19x4 - 2x2 + 1 \( 2^{30}\cdot 13^{10} \) $A_4\wr C_2$ (as 12T126) $[18]$ (GRH)


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