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Label Polynomial Discriminant Galois group Class group
12.0.121765815125.1 x12 - x11 - x9 - 2x8 + 5x7 + 3x6 - 5x5 - 2x4 + x3 + x + 1 \( 5^{3}\cdot 23^{4}\cdot 59^{2} \) 12T186 Trivial
12.0.125714296125.1 x12 - 2x11 + 7x10 - 8x9 + 14x8 - 8x7 + 9x6 + x5 + 3x3 - x + 1 \( 3^{2}\cdot 5^{3}\cdot 11^{2}\cdot 31^{4} \) 12T186 Trivial
12.2.314972378176.1 x12 - x10 - 3x8 + x6 + 3x4 - x2 - 1 \( -\,2^{6}\cdot 31^{4}\cdot 73^{2} \) 12T186 Trivial
12.2.396228830787.1 x12 - 2x11 - x10 + 4x9 - 3x7 - x6 + 3x4 + x3 - 3x2 - x + 1 \( -\,3^{3}\cdot 23^{4}\cdot 229^{2} \) 12T186 Trivial
12.0.776593755125.1 x12 - x11 + 3x10 + x9 + 3x8 + 5x7 + x6 + 5x5 + 3x4 + x3 + 3x2 - x + 1 \( 5^{3}\cdot 23^{4}\cdot 149^{2} \) 12T186 Trivial
12.4.1255569610725.1 x12 - x11 + 2x10 - 3x9 - 4x8 + 3x7 - 3x6 + 3x5 + 2x4 + 8x3 - 16x2 + 8x - 1 \( 3^{3}\cdot 5^{2}\cdot 17^{2}\cdot 23^{5} \) 12T186 Trivial
12.0.1255569610725.1 x12 - 2x11 - 2x10 + 6x9 - x8 - x6 - 9x5 + 9x4 + 3x3 - 4x2 + 1 \( 3^{3}\cdot 5^{2}\cdot 17^{2}\cdot 23^{5} \) 12T186 Trivial
12.4.2287710529117.1 x12 - 5x11 + 9x10 - 3x9 - 9x8 + 4x7 + 11x6 - 3x5 - 23x4 + 28x3 - 8x2 - 2x + 1 \( 13^{3}\cdot 23^{4}\cdot 61^{2} \) 12T186 Trivial
12.0.6229262860288.2 x12 - 5x11 + 13x10 - 23x9 + 29x8 - 26x7 + 22x6 - 22x5 + 17x4 - 11x3 + 7x2 - x + 1 \( 2^{24}\cdot 13^{5} \) 12T186 Trivial
12.2.11866206109696.1 x12 - 6x10 + 11x8 - 4x6 - 8x4 + 8x2 - 4 \( -\,2^{24}\cdot 29^{4} \) 12T186 Trivial
12.0.17491388530688.2 x12 - 3x11 + 4x10 - x9 - x8 - 6x7 + 8x6 + 6x5 - x4 + x3 + 4x2 + 3x + 1 \( 2^{27}\cdot 19^{4} \) 12T186 Trivial
12.0.17748214710272.1 x12 - x10 - 3x8 + 9x6 - 6x4 - 4x2 + 8 \( 2^{15}\cdot 17^{2}\cdot 37^{4} \) 12T186 Trivial
12.0.24917051441152.2 x12 - 5x11 + 12x10 - 18x9 + 25x8 - 44x7 + 76x6 - 96x5 + 86x4 - 58x3 + 32x2 - 12x + 2 \( 2^{26}\cdot 13^{5} \) 12T186 Trivial
12.0.32487216545792.1 x12 - x10 + 5x8 + 7x6 + 4x4 + 2x2 + 2 \( 2^{15}\cdot 23^{2}\cdot 37^{4} \) 12T186 Trivial
12.0.32768000000000.2 x12 - 2x11 + 2x10 - 5x9 + 7x8 - 8x7 + 8x6 - 4x5 + 10x4 - 12x3 + 12x2 - 6x + 2 \( 2^{24}\cdot 5^{9} \) 12T186 Trivial
12.0.37559623221248.6 x12 + 2x8 - 8x6 + 4x4 + 8 \( 2^{27}\cdot 23^{4} \) 12T186 Trivial
12.0.37559623221248.7 x12 + 2x8 + 8x6 + 4x4 + 8 \( 2^{27}\cdot 23^{4} \) 12T186 Trivial
12.0.50437420832000.1 x12 - 5x11 + 10x10 - 12x9 + 7x8 + 12x7 - 21x6 + 12x5 + 7x4 - 12x3 + 10x2 - 5x + 1 \( 2^{8}\cdot 5^{3}\cdot 29^{2}\cdot 37^{4} \) 12T186 Trivial
12.4.50437420832000.1 x12 - 3x11 + 5x10 - 7x9 + 11x8 - 7x6 + 20x5 - 3x4 + 11x3 + 6x2 - 8x - 1 \( 2^{8}\cdot 5^{3}\cdot 29^{2}\cdot 37^{4} \) 12T186 Trivial
12.0.59017419849728.1 x12 + 3x10 + 5x8 + 3x6 + 4x4 - 2x2 + 2 \( 2^{15}\cdot 31^{2}\cdot 37^{4} \) 12T186 Trivial
12.0.61334280470528.7 x12 + x10 + 8x8 + 14x6 + 25x4 + 13x2 + 2 \( 2^{31}\cdot 13^{4} \) 12T186 Trivial
12.0.61334280470528.10 x12 - x10 - 2x8 - 6x6 + 5x4 + 11x2 + 8 \( 2^{31}\cdot 13^{4} \) 12T186 Trivial
12.2.62882616180736.3 x12 - 2x10 - 3x8 - 8x6 - 17x4 - 14x2 - 1 \( -\,2^{32}\cdot 11^{4} \) 12T186 Trivial
12.2.62882616180736.6 x12 - 2x10 + x8 + 16x6 - 29x4 + 10x2 - 1 \( -\,2^{32}\cdot 11^{4} \) 12T186 Trivial
12.0.69965554122752.4 x12 + 3x10 + 8x8 - 6x6 + x4 - x2 + 2 \( 2^{29}\cdot 19^{4} \) 12T186 Trivial
12.0.69965554122752.8 x12 + 3x10 + 10x8 + 14x6 + 21x4 + 7x2 + 8 \( 2^{29}\cdot 19^{4} \) 12T186 Trivial
12.4.70992858841088.1 x12 + x10 + 3x8 + x6 - 6x4 - 6x2 + 2 \( 2^{17}\cdot 17^{2}\cdot 37^{4} \) 12T186 Trivial
12.0.71328803586048.3 x12 - 3x11 + 3x10 + 5x9 - 18x8 + 24x7 - 8x6 - 24x5 + 54x4 - 58x3 + 42x2 - 18x + 4 \( 2^{27}\cdot 3^{12} \) 12T186 Trivial
12.2.80980417183744.1 x12 - 7x10 + 25x8 - 38x6 + 39x4 - 15x2 - 1 \( -\,2^{24}\cdot 13^{6} \) 12T186 Trivial
12.4.88001871392000.1 x12 - x11 + 4x8 - 3x7 + 4x6 - 13x5 - 6x4 - 2x3 + 20x2 - 9x + 1 \( 2^{8}\cdot 5^{3}\cdot 229^{4} \) 12T186 Trivial
12.4.88001871392000.2 x12 - x11 - 5x10 + 7x9 + x8 - 10x7 + 23x6 - 18x5 - 9x4 + 27x3 - 36x2 + 20x + 1 \( 2^{8}\cdot 5^{3}\cdot 229^{4} \) 12T186 Trivial
12.0.99668205764608.2 x12 - x10 + 3x8 - 10x6 + 7x4 - 9x2 + 13 \( 2^{28}\cdot 13^{5} \) 12T186 Trivial
12.2.122668560941056.2 x12 - x10 - 3x8 + 6x6 + 3x4 - x2 - 1 \( -\,2^{32}\cdot 13^{4} \) 12T186 Trivial
12.2.122668560941056.3 x12 - 7x8 - 16x6 + 7x4 - 1 \( -\,2^{32}\cdot 13^{4} \) 12T186 Trivial
12.0.123952890380288.1 x12 - 4x10 + 2x8 + 8x6 + 4x4 - 16x2 + 8 \( 2^{27}\cdot 31^{4} \) 12T186 Trivial
12.0.123952890380288.9 x12 + 4x10 + 2x8 - 8x6 + 4x4 + 16x2 + 8 \( 2^{27}\cdot 31^{4} \) 12T186 Trivial
12.0.125765232361472.1 x12 - 6x10 + 16x8 - 24x6 + 20x4 - 8x2 + 2 \( 2^{33}\cdot 11^{4} \) 12T186 Trivial
12.0.125765232361472.5 x12 + 6x10 + 16x8 + 24x6 + 20x4 + 8x2 + 2 \( 2^{33}\cdot 11^{4} \) 12T186 Trivial
12.0.129948866183168.1 x12 - 2x10 + 4x8 - 6x6 + 8x4 - 8x2 + 8 \( 2^{17}\cdot 23^{2}\cdot 37^{4} \) 12T186 Trivial
12.0.131072000000000.1 x12 - 3x10 + 3x8 - 6x6 + 15x4 + 5x2 + 5 \( 2^{26}\cdot 5^{9} \) 12T186 Trivial
12.2.155929364660224.1 x12 - 4x10 - 2x8 + 6x6 + 2x4 - 4x2 - 1 \( -\,2^{18}\cdot 29^{6} \) 12T186 Trivial
12.6.163368480538624.1 x12 - 4x11 + 5x10 + 6x9 - 20x8 + 4x7 + 9x6 + 22x5 - 26x4 - 4x3 + 11x2 - 6x + 1 \( -\,2^{22}\cdot 79^{4} \) 12T186 Trivial
12.2.189859297755136.2 x12 - 2x10 - 3x8 - 12x6 + 3x4 - 2x2 - 1 \( -\,2^{28}\cdot 29^{4} \) 12T186 Trivial
12.4.223160098592000.1 x12 - 2x11 - x9 - 5x8 + 4x7 + 9x6 + 34x5 - 3x4 - 17x3 - x2 - 5x - 1 \( 2^{8}\cdot 5^{3}\cdot 37^{4}\cdot 61^{2} \) 12T186 Trivial
12.0.223160098592000.1 x12 - x11 + 6x10 - 8x9 + 19x8 - 16x7 + 23x6 - 16x5 + 19x4 - 8x3 + 6x2 - x + 1 \( 2^{8}\cdot 5^{3}\cdot 37^{4}\cdot 61^{2} \) 12T186 Trivial
12.2.240734712102912.2 x12 - 3x11 + 9x10 - 7x9 + 3x8 + 18x7 - 18x6 + 18x5 + 3x4 - 7x3 + 9x2 - 3x + 1 \( -\,2^{24}\cdot 3^{15} \) 12T186 Trivial
12.0.245337121882112.1 x12 - x10 + 8x8 - 14x6 + 25x4 - 13x2 + 2 \( 2^{33}\cdot 13^{4} \) 12T186 Trivial
12.0.245337121882112.16 x12 + x10 - 2x8 + 6x6 + 5x4 - 11x2 + 8 \( 2^{33}\cdot 13^{4} \) 12T186 Trivial
12.6.275490914978907.1 x12 - 2x11 - 5x10 + 14x9 - 8x8 - 11x7 + 23x6 - 11x5 - 8x4 + 14x3 - 5x2 - 2x + 1 \( -\,3^{7}\cdot 31^{2}\cdot 107^{4} \) 12T186 Trivial
12.0.279862216491008.10 x12 - 3x10 + 10x8 - 14x6 + 21x4 - 7x2 + 8 \( 2^{31}\cdot 19^{4} \) 12T186 Trivial
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