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Label Polynomial Discriminant Galois group Class group
12.2.447330484375.1 x12 - 2x11 + x10 - 3x9 + 8x8 - 3x7 - 2x6 - 4x5 + 2x4 + 9x3 - 9x2 + 4x - 1 \( -\,5^{6}\cdot 31^{5} \) $(C_6\times C_2):C_2$ (as 12T13) Trivial
12.2.644204000000.1 x12 - 3x11 + 3x10 - x9 - 3x8 + 4x7 - x6 + 8x5 - 7x4 - 3x3 - 2x2 + 4x - 1 \( -\,2^{8}\cdot 5^{6}\cdot 11^{5} \) $(C_6\times C_2):C_2$ (as 12T13) Trivial
12.2.1687248699392.3 x12 - 2x11 - x10 + 10x9 - 11x8 - 14x7 + 42x6 - 20x5 - 34x4 + 56x3 - 35x2 + 10x - 1 \( -\,2^{18}\cdot 23^{5} \) $(C_6\times C_2):C_2$ (as 12T13) Trivial
12.2.7504960159744.3 x12 - 4x11 + 4x10 + 12x9 - 39x8 + 44x7 - 16x6 - 8x4 + 12x3 - 6x2 + 1 \( -\,2^{18}\cdot 31^{5} \) $(C_6\times C_2):C_2$ (as 12T13) Trivial
12.2.9904396000000.1 x12 - 4x11 + 10x10 - 17x9 + 21x8 - 10x7 - 21x6 + 50x5 - 61x4 + 49x3 - 25x2 + 7x - 1 \( -\,2^{8}\cdot 5^{6}\cdot 19^{5} \) $(C_6\times C_2):C_2$ (as 12T13) Trivial
12.2.11170692171875.1 x12 - x11 + 3x8 + 6x7 - 9x6 - 7x5 + 17x4 - 5x3 - 5x2 + 2x - 1 \( -\,5^{6}\cdot 59^{5} \) $(C_6\times C_2):C_2$ (as 12T13) Trivial
12.0.12941246631168.1 x12 - 5x11 + 12x10 - 22x9 + 37x8 - 56x7 + 69x6 - 74x5 + 89x4 - 78x3 + 32x2 - 5x + 1 \( 2^{8}\cdot 3^{6}\cdot 37^{5} \) $(C_6\times C_2):C_2$ (as 12T13) Trivial
12.2.15045919506432.1 x12 - 6x10 - 2x9 + 12x8 + 12x7 - 12x5 - 18x4 + 4x3 + 12x2 - 2 \( -\,2^{20}\cdot 3^{15} \) $(C_6\times C_2):C_2$ (as 12T13) Trivial
12.2.19218817216512.1 x12 - 2x11 - 3x10 - 4x9 + 15x8 + 30x7 - 11x6 - 54x5 - 51x4 - 26x3 - 5x2 + 2x + 1 \( -\,2^{12}\cdot 3^{6}\cdot 23^{5} \) $(C_6\times C_2):C_2$ (as 12T13) Trivial
12.2.19218817216512.2 x12 - 2x11 - x10 + 6x9 - 22x8 + 28x7 - 20x5 + 31x4 + 26x3 + 9x2 + 4x + 1 \( -\,2^{12}\cdot 3^{6}\cdot 23^{5} \) $(C_6\times C_2):C_2$ (as 12T13) Trivial
12.2.31066998319487.1 x12 - x10 - 8x9 + 15x8 - 10x7 + 9x6 - 52x5 + 58x4 - 4x3 + 15x2 - x + 1 \( -\,13^{6}\cdot 23^{5} \) $(C_6\times C_2):C_2$ (as 12T13) Trivial
12.0.61737492466944.1 x12 - 6x11 + 9x10 + 8x9 - 18x8 - 24x7 + 33x6 + 42x5 - 48x4 - 16x3 + 27x2 - 36x + 31 \( 2^{8}\cdot 3^{15}\cdot 7^{5} \) $(C_6\times C_2):C_2$ (as 12T13) Trivial
12.0.72712409055232.2 x12 - 6x11 + 24x10 - 62x9 + 126x8 - 192x7 + 244x6 - 240x5 + 200x4 - 120x3 + 56x2 - 16x + 2 \( 2^{20}\cdot 37^{5} \) $(C_6\times C_2):C_2$ (as 12T13) Trivial
12.2.107983916761088.9 x12 + 4x10 - 12x9 + 11x8 - 32x7 + 44x6 - 40x5 + 35x4 - 16x3 + 4x - 7 \( -\,2^{24}\cdot 23^{5} \) $(C_6\times C_2):C_2$ (as 12T13) Trivial
12.2.123109301551104.1 x12 - 4x11 + 8x10 - 10x9 + 4x8 - 4x7 + 16x6 - 32x5 + 44x4 - 12x3 - 16x2 - 4x - 2 \( -\,2^{20}\cdot 3^{6}\cdot 11^{5} \) $(C_6\times C_2):C_2$ (as 12T13) Trivial
12.2.123109301551104.2 x12 - 4x11 + 6x10 - 10x9 + 24x8 - 20x7 + 8x6 - 12x5 - 10x4 + 44x3 - 40x2 + 16x - 2 \( -\,2^{20}\cdot 3^{6}\cdot 11^{5} \) $(C_6\times C_2):C_2$ (as 12T13) Trivial
12.2.164916224000000.1 x12 + x10 + 2x8 + 5x6 + 14x4 + 29x2 - 11 \( -\,2^{16}\cdot 5^{6}\cdot 11^{5} \) $(C_6\times C_2):C_2$ (as 12T13) Trivial
12.2.326103923109375.1 x12 - x11 + 2x10 + 15x9 - 23x8 + 76x7 - 59x6 + 76x5 - 23x4 + 15x3 + 2x2 - x + 1 \( -\,3^{6}\cdot 5^{6}\cdot 31^{5} \) $(C_6\times C_2):C_2$ (as 12T13) Trivial
12.0.410797025187957.1 x12 - 6x10 - x9 + 48x8 - 6x7 - 87x6 + 150x4 - 145x3 + 60x2 - 12x + 1 \( 3^{15}\cdot 31^{5} \) $(C_6\times C_2):C_2$ (as 12T13) Trivial
12.2.432162447268608.1 x12 + 3x10 - 18x8 + 27x6 - 6x4 - 9x2 - 3 \( -\,2^{8}\cdot 3^{15}\cdot 7^{6} \) $(C_6\times C_2):C_2$ (as 12T13) Trivial
12.2.440049629885184.1 x12 - 5x11 + 9x10 - 8x9 - x8 + 13x7 + 4x6 - 9x5 - 15x4 - 14x3 - 7x2 - x + 1 \( -\,2^{8}\cdot 3^{6}\cdot 11^{9} \) $(C_6\times C_2):C_2$ (as 12T13) Trivial
12.2.469624716000000.1 x12 - 3x11 + 7x10 - 11x9 + 33x8 - 50x7 + 31x6 + 26x5 - 15x4 - 57x3 + 36x2 - 10x + 1 \( -\,2^{8}\cdot 3^{6}\cdot 5^{6}\cdot 11^{5} \) $(C_6\times C_2):C_2$ (as 12T13) Trivial
12.2.480317450223616.12 x12 + 6x10 - 12x9 + 19x8 - 48x7 + 80x6 - 88x5 + 96x4 - 96x3 + 58x2 - 16x + 1 \( -\,2^{24}\cdot 31^{5} \) $(C_6\times C_2):C_2$ (as 12T13) Trivial
12.2.962938848411648.4 x12 - 9x8 + 3x4 - 3 \( -\,2^{26}\cdot 3^{15} \) $(C_6\times C_2):C_2$ (as 12T13) Trivial
12.2.1313040290206527.1 x12 - 4x11 + 4x10 + 8x9 - 10x8 - 38x7 + 84x6 - 8x5 - 164x4 + 262x3 - 197x2 + 68x - 5 \( -\,3^{6}\cdot 23^{9} \) $(C_6\times C_2):C_2$ (as 12T13) Trivial
12.2.1423349843473152.1 x12 - 3x11 + x10 + 7x9 - 15x8 + 24x7 - 29x6 + 24x5 - 29x4 + 35x3 - 6x2 + 4x + 1 \( -\,2^{8}\cdot 3^{9}\cdot 7^{10} \) $(C_6\times C_2):C_2$ (as 12T13) $[3]$
12.2.1721036800000000.1 x12 - 2x11 - 7x10 + 20x9 + 14x8 - 84x7 + 58x6 + 118x5 - 192x4 - 76x3 + 314x2 - 164x - 137 \( -\,2^{18}\cdot 5^{8}\cdot 7^{5} \) $(C_6\times C_2):C_2$ (as 12T13) Trivial
12.2.1970046106958592.1 x12 - 14x9 + 44x6 - 56x3 + 16 \( -\,2^{8}\cdot 3^{13}\cdot 13^{6} \) $(C_6\times C_2):C_2$ (as 12T13) Trivial
12.2.2472487358038016.1 x12 - 2x11 + 4x10 + 12x9 - 50x8 + 40x7 + 68x6 - 196x5 + 136x4 + 136x3 - 272x2 + 152x - 28 \( -\,2^{20}\cdot 11^{9} \) $(C_6\times C_2):C_2$ (as 12T13) Trivial
12.2.4053211077702843.1 x12 + 3x10 - 12x8 - 57x6 - 87x4 - 72x2 - 48 \( -\,3^{15}\cdot 7^{10} \) $(C_6\times C_2):C_2$ (as 12T13) $[3]$
12.2.7377521301352448.3 x12 - 2x11 + 4x9 - 46x8 - 174x7 - 221x6 - 172x5 - 196x4 - 156x3 - 50x2 - 12x - 7 \( -\,2^{12}\cdot 23^{9} \) $(C_6\times C_2):C_2$ (as 12T13) Trivial
12.2.8062156800000000.1 x12 - 6x11 + 16x10 - 16x9 - 27x8 + 108x7 - 176x6 + 156x5 - 53x4 - 38x3 + 36x2 + 8x - 11 \( -\,2^{20}\cdot 3^{9}\cdot 5^{8} \) $(C_6\times C_2):C_2$ (as 12T13) Trivial
12.2.9034694121816064.1 x12 - 10x10 + 46x8 - 108x6 + 122x4 - 38x2 - 1 \( -\,2^{16}\cdot 13^{10} \) $(C_6\times C_2):C_2$ (as 12T13) $[3]$
12.12.9840053002328125.1 x12 - 3x11 - 13x10 + 35x9 + 54x8 - 121x7 - 90x6 + 137x5 + 62x4 - 53x3 - 15x2 + 6x + 1 \( 5^{6}\cdot 229^{5} \) $(C_6\times C_2):C_2$ (as 12T13) Trivial
12.2.11075850845817723.1 x12 + 18x6 - 3 \( -\,3^{23}\cdot 7^{6} \) $(C_6\times C_2):C_2$ (as 12T13) Trivial
12.2.13421772800000000.3 x12 - 4x10 + 16x8 - 36x6 + 33x4 - 16x2 - 8 \( -\,2^{35}\cdot 5^{8} \) $(C_6\times C_2):C_2$ (as 12T13) $[2]$
12.2.24679069470425088.6 x12 - 90x6 - 3 \( -\,2^{18}\cdot 3^{23} \) $(C_6\times C_2):C_2$ (as 12T13) $[2]$
12.12.42040402004000000.1 x12 - 2x11 - 18x10 + 23x9 + 111x8 - 66x7 - 249x6 + 64x5 + 191x4 - 17x3 - 43x2 + 3x + 1 \( 2^{8}\cdot 5^{6}\cdot 101^{5} \) $(C_6\times C_2):C_2$ (as 12T13) Trivial
12.0.53007346201264128.1 x12 - 4x11 + 16x10 - 46x9 + 108x8 - 180x7 + 220x6 - 196x5 + 108x4 - 76x3 + 84x2 - 68x + 46 \( 2^{20}\cdot 3^{6}\cdot 37^{5} \) $(C_6\times C_2):C_2$ (as 12T13) $[2]$
12.2.98716277881700352.11 x12 - 12 \( -\,2^{20}\cdot 3^{23} \) $(C_6\times C_2):C_2$ (as 12T13) Trivial
12.2.98716277881700352.20 x12 - 6x9 + 36x3 + 6 \( -\,2^{20}\cdot 3^{23} \) $(C_6\times C_2):C_2$ (as 12T13) Trivial
12.2.108296692370108416.7 x12 - 6x11 + 10x10 - 26x9 + 87x8 - 72x7 + 228x6 - 438x5 - 202x4 - 636x3 - 490x2 + 56x + 237 \( -\,2^{12}\cdot 31^{9} \) $(C_6\times C_2):C_2$ (as 12T13) Trivial (GRH)
12.2.158239190914433024.4 x12 + 55x8 + 1331x4 - 1331 \( -\,2^{26}\cdot 11^{9} \) $(C_6\times C_2):C_2$ (as 12T13) Trivial
12.2.184884258895036416.42 x12 - 12x10 + 18x8 + 136x6 + 153x4 + 36x2 - 4 \( -\,2^{32}\cdot 3^{16} \) $(C_6\times C_2):C_2$ (as 12T13) $[2]$
12.2.335544320000000000.2 x12 + 20x8 + 100x4 - 800 \( -\,2^{35}\cdot 5^{10} \) $(C_6\times C_2):C_2$ (as 12T13) $[2, 2]$
12.2.338362575386312704.1 x12 - 6x11 + 16x10 - 6x9 - 69x8 + 132x7 + 120x6 - 804x5 + 1163x4 - 150x3 - 1624x2 + 2082x - 927 \( -\,2^{20}\cdot 19^{9} \) $(C_6\times C_2):C_2$ (as 12T13) $[2]$
12.2.472161363286556672.16 x12 - 2x11 + 15x10 + 28x9 + 9x8 + 302x7 + 311x6 - 306x5 + 561x4 + 1796x3 + 581x2 - 26x + 211 \( -\,2^{18}\cdot 23^{9} \) $(C_6\times C_2):C_2$ (as 12T13) Trivial (GRH)
12.2.493024690386763776.5 x12 - 36x8 + 708x4 - 96 \( -\,2^{35}\cdot 3^{15} \) $(C_6\times C_2):C_2$ (as 12T13) $[2]$
12.2.493024690386763776.33 x12 - 12x10 + 42x8 - 60x6 + 33x4 - 6 \( -\,2^{35}\cdot 3^{15} \) $(C_6\times C_2):C_2$ (as 12T13) $[2]$
12.2.578220423796228096.4 x12 - 6x10 + 15x8 + 6x6 - 115x4 + 306x2 - 324 \( -\,2^{22}\cdot 13^{10} \) $(C_6\times C_2):C_2$ (as 12T13) $[6]$
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