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Results (displaying all 8 matches)

Label Polynomial Discriminant Galois group Class group
12.0.71229533203125.1 x12 - 5x11 + 20x10 - 48x9 + 100x8 - 150x7 + 204x6 - 200x5 + 180x4 - 102x3 + 75x2 - 5x + 1 \( 3^{4}\cdot 5^{9}\cdot 11^{2}\cdot 61^{2} \) 12T170 Trivial
12.0.125594455078125.1 x12 - 7x9 + 19x6 - 23x3 + 11 \( 3^{12}\cdot 5^{9}\cdot 11^{2} \) 12T170 Trivial
12.4.350284500000000.1 x12 - 3x11 + x10 + x9 - x8 + 8x7 - 11x6 + 14x5 - 9x4 + 5x3 - 10x2 - 5 \( 2^{8}\cdot 3^{6}\cdot 5^{9}\cdot 31^{2} \) 12T170 Trivial
12.4.18260173718028288.1 x12 - 8x9 + 20x6 - 16x3 + 2 \( 2^{35}\cdot 3^{12} \) 12T170 Trivial
12.0.446676160500000000.1 x12 + 27x10 - 20x9 + 324x8 - 210x7 + 1968x6 - 630x5 + 5661x4 - 520x3 + 7380x2 + 3280 \( 2^{8}\cdot 3^{12}\cdot 5^{9}\cdot 41^{2} \) 12T170 Trivial
12.0.24718649512500000000.1 x12 - 45x10 - 30x9 + 855x8 + 1050x7 - 6605x6 - 8910x5 + 24885x4 + 34860x3 - 10980x2 - 14640x + 4880 \( 2^{8}\cdot 3^{12}\cdot 5^{11}\cdot 61^{2} \) 12T170 Trivial
12.12.43369837128000000000.1 x12 - 48x10 - 60x9 + 774x8 + 1830x7 - 3707x6 - 15300x5 - 6999x4 + 22920x3 + 22725x2 - 6060x - 9595 \( 2^{12}\cdot 3^{12}\cdot 5^{9}\cdot 101^{2} \) 12T170 Trivial (GRH)
12.12.720795819784500000000.1 x12 - 39x10 - 26x9 + 531x8 + 708x7 - 2653x6 - 5778x5 + 1089x4 + 12320x3 + 13176x2 + 5856x + 976 \( 2^{8}\cdot 3^{18}\cdot 5^{9}\cdot 61^{2} \) 12T170 Trivial (GRH)


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