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Results (10 matches)

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Label Polynomial Discriminant Galois group Class group Regulator
12.0.1381408203125.1 $x^{12} - 6 x^{11} + 10 x^{10} + 5 x^{9} - 24 x^{8} + 29 x^{6} - 24 x^{4} + 5 x^{3} + 10 x^{2} - 6 x + 1$ $5^{9}\cdot 29^{4}$ $(C_3\times C_3):C_4$ (as 12T17) trivial $64.4867620531$
12.0.1803751953125.2 $x^{12} - 5 x^{11} + 16 x^{10} - 35 x^{9} + 61 x^{8} - 85 x^{7} + 106 x^{6} - 120 x^{5} + 126 x^{4} - 110 x^{3} + 75 x^{2} - 30 x + 5$ $5^{9}\cdot 31^{4}$ $(C_3\times C_3):C_4$ (as 12T17) trivial $75.4332875798$
12.0.20624432955392.2 $x^{12} + 4 x^{8} + 4 x^{6} + 5 x^{4} + 12 x^{2} + 2$ $2^{33}\cdot 7^{4}$ $(C_3\times C_3):C_4$ (as 12T17) trivial $232.384832441$
12.0.41085390865563648.12 $x^{12} - 24 x^{8} - 12 x^{6} + 189 x^{4} + 324 x^{2} + 18$ $2^{33}\cdot 3^{14}$ $(C_3\times C_3):C_4$ (as 12T17) $[2]$ $5956.74164502$
12.0.41085390865563648.20 $x^{12} + 12 x^{10} - 8 x^{9} + 78 x^{8} - 72 x^{7} + 308 x^{6} - 288 x^{5} + 711 x^{4} - 592 x^{3} + 924 x^{2} - 816 x + 526$ $2^{33}\cdot 3^{14}$ $(C_3\times C_3):C_4$ (as 12T17) $[2]$ $6058.14180821$
12.0.49519263525896192.12 $x^{12} - 4 x^{11} - 2 x^{10} + 20 x^{9} + 15 x^{8} - 40 x^{7} - 60 x^{6} + 80 x^{5} + 270 x^{4} + 288 x^{3} + 192 x^{2} + 128 x + 64$ $2^{33}\cdot 7^{8}$ $(C_3\times C_3):C_4$ (as 12T17) $[3, 3]$ $2643.94789139$
12.12.136...125.1 $x^{12} - 6 x^{11} + 55 x^{9} - 84 x^{8} - 60 x^{7} + 189 x^{6} - 60 x^{5} - 84 x^{4} + 55 x^{3} - 6 x + 1$ $3^{14}\cdot 5^{9}\cdot 11^{4}$ $(C_3\times C_3):C_4$ (as 12T17) trivial $59761.38389$
12.0.369...832.57 $x^{12} - 12 x^{10} + 18 x^{8} + 124 x^{6} + 81 x^{4} + 144 x^{2} + 32$ $2^{33}\cdot 3^{16}$ $(C_3\times C_3):C_4$ (as 12T17) trivial $50344.2311125$
12.0.369...832.60 $x^{12} - 12 x^{10} + 54 x^{8} - 24 x^{7} + 124 x^{6} - 360 x^{5} + 783 x^{4} - 704 x^{3} + 468 x^{2} - 192 x + 46$ $2^{33}\cdot 3^{16}$ $(C_3\times C_3):C_4$ (as 12T17) trivial $79964.5012412$
12.12.867...152.1 $x^{12} - 6 x^{11} - x^{10} + 60 x^{9} - 92 x^{8} - 58 x^{7} + 193 x^{6} - 58 x^{5} - 92 x^{4} + 60 x^{3} - x^{2} - 6 x + 1$ $2^{8}\cdot 13^{4}\cdot 17^{9}$ $(C_3\times C_3):C_4$ (as 12T17) trivial $159031.293256$
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