Learn more about

Further refine search

Results (displaying matches 1-50 of 178) Next

Label Polynomial Discriminant Galois group Class group
12.0.83276107776.1 x12 - 2x11 - 2x10 + 4x9 + 2x8 - 2x7 - x6 - 2x5 + 2x4 + 4x3 - 2x2 - 2x + 1 \( 2^{12}\cdot 3^{6}\cdot 167^{2} \) $C_2\times S_3\wr C_2$ (as 12T77) Trivial
12.0.90225140625.1 x12 - 4x10 - x9 + 8x8 + x7 - 6x6 + x4 - x3 + x + 1 \( 3^{6}\cdot 5^{6}\cdot 89^{2} \) $C_2\times S_3\wr C_2$ (as 12T77) Trivial
12.0.102195302400.1 x12 - 2x11 - 2x10 + 6x9 - 2x8 - 2x7 + 5x6 - 10x5 + 10x4 - 8x3 + 6x2 - 2x + 1 \( 2^{12}\cdot 3^{6}\cdot 5^{2}\cdot 37^{2} \) $C_2\times S_3\wr C_2$ (as 12T77) Trivial
12.0.157856825344.1 x12 - 4x11 + 8x10 - 12x9 + 17x8 - 20x7 + 16x6 - 8x5 + 6x4 - 8x3 + 8x2 - 4x + 1 \( 2^{24}\cdot 97^{2} \) $C_2\times S_3\wr C_2$ (as 12T77) Trivial
12.0.240837525504.1 x12 - 2x11 + 3x10 - 4x9 + 2x8 + 6x7 - 11x6 + 6x5 + 2x4 - 4x3 + 3x2 - 2x + 1 \( 2^{16}\cdot 3^{6}\cdot 71^{2} \) $C_2\times S_3\wr C_2$ (as 12T77) Trivial
12.0.270533136384.1 x12 - 2x11 + x10 + 3x8 - 8x7 + 15x6 - 22x5 + 24x4 - 18x3 + 10x2 - 4x + 1 \( 2^{12}\cdot 3^{6}\cdot 7^{2}\cdot 43^{2} \) $C_2\times S_3\wr C_2$ (as 12T77) Trivial
12.0.2229025112064.1 x12 - 6x11 + 15x10 - 18x9 + 12x8 - 18x7 + 29x6 - 18x5 + 12x4 - 18x3 + 15x2 - 6x + 1 \( 2^{22}\cdot 3^{12} \) $C_2\times S_3\wr C_2$ (as 12T77) Trivial
12.0.2272037699584.1 x12 - 4x11 + 8x10 - 12x9 + 13x8 - 8x7 + 16x4 - 32x3 + 32x2 - 16x + 4 \( 2^{32}\cdot 23^{2} \) $C_2\times S_3\wr C_2$ (as 12T77) Trivial
12.0.3131031158784.1 x12 - 4x11 + 12x10 - 28x9 + 57x8 - 88x7 + 104x6 - 88x5 + 57x4 - 28x3 + 12x2 - 4x + 1 \( 2^{32}\cdot 3^{6} \) $C_2\times S_3\wr C_2$ (as 12T77) Trivial
12.4.15241216000000.1 x12 - 2x11 - x10 + 4x9 + 6x8 - 6x7 - 16x6 + 6x5 + 6x4 - 4x3 - x2 + 2x + 1 \( 2^{18}\cdot 5^{6}\cdot 61^{2} \) $C_2\times S_3\wr C_2$ (as 12T77) Trivial
12.4.18939904000000.1 x12 - 2x11 - x10 + 2x9 - 4x8 + 22x7 - 31x6 + 22x5 - 16x4 + 10x3 - 9x2 + 6x - 1 \( 2^{22}\cdot 5^{6}\cdot 17^{2} \) $C_2\times S_3\wr C_2$ (as 12T77) Trivial
12.0.20061226008576.10 x12 - 9x8 - 12x7 + 8x6 + 81x4 - 108x3 + 108x2 - 48x + 16 \( 2^{22}\cdot 3^{14} \) $C_2\times S_3\wr C_2$ (as 12T77) Trivial
12.0.35664401793024.6 x12 + 6x10 - 4x9 - 12x8 + 24x7 + 16x6 - 36x5 - 12x4 + 24x3 + 6x2 - 12x + 3 \( 2^{26}\cdot 3^{12} \) $C_2\times S_3\wr C_2$ (as 12T77) Trivial
12.8.58003456000000.1 x12 - 4x11 + 2x10 + 4x9 + 12x8 - 26x7 - 22x6 + 72x5 - 32x4 - 32x3 + 27x2 - 2x - 1 \( 2^{18}\cdot 5^{6}\cdot 7^{2}\cdot 17^{2} \) $C_2\times S_3\wr C_2$ (as 12T77) Trivial
12.0.58891012706304.1 x12 - 5x10 - 2x9 + 15x8 + 2x7 - 30x6 + 4x5 + 60x4 - 16x3 - 80x2 + 64 \( 2^{12}\cdot 3^{6}\cdot 4441^{2} \) $C_2\times S_3\wr C_2$ (as 12T77) Trivial
12.0.63403380965376.2 x12 + 6x10 + 13x8 + 16x6 + 24x4 + 40x2 + 36 \( 2^{30}\cdot 3^{10} \) $C_2\times S_3\wr C_2$ (as 12T77) Trivial
12.0.74906393903104.1 x12 + 12x10 + 50x8 + 90x6 + 69x4 + 18x2 + 1 \( 2^{24}\cdot 2113^{2} \) $C_2\times S_3\wr C_2$ (as 12T77) Trivial
12.0.126324651851776.1 x12 + 6x10 - 16x9 + 18x8 - 20x7 + 24x6 - 20x5 + 17x4 - 12x3 + 6x2 - 4x + 2 \( 2^{30}\cdot 7^{6} \) $C_2\times S_3\wr C_2$ (as 12T77) Trivial
12.8.144769024000000.1 x12 - 2x11 - 7x10 + 22x9 + 10x8 - 70x7 + 11x6 + 82x5 - 18x4 - 38x3 + x2 + 6x + 1 \( 2^{22}\cdot 5^{6}\cdot 47^{2} \) $C_2\times S_3\wr C_2$ (as 12T77) Trivial
12.0.171567427640625.1 x12 - 2x11 + 8x10 - 8x9 + 30x8 - 29x7 + 64x6 - 26x5 + 48x4 - 26x3 + 23x2 - 5x + 1 \( 3^{6}\cdot 5^{6}\cdot 3881^{2} \) $C_2\times S_3\wr C_2$ (as 12T77) $[2]$
12.0.211495213265625.1 x12 - 2x11 + 4x10 - 3x9 - 3x8 + 11x7 - 27x6 + 22x5 - 12x4 - 24x3 + 64x2 - 64x + 64 \( 3^{6}\cdot 5^{6}\cdot 31^{2}\cdot 139^{2} \) $C_2\times S_3\wr C_2$ (as 12T77) Trivial
12.0.253613523861504.2 x12 - 4x11 + 4x10 + 4x9 - 23x8 + 8x7 + 56x6 + 8x5 - 23x4 + 4x3 + 4x2 - 4x + 1 \( 2^{32}\cdot 3^{10} \) $C_2\times S_3\wr C_2$ (as 12T77) Trivial
12.0.253613523861504.4 x12 - 4x11 + 4x10 - 8x9 + 28x8 - 24x7 + 16x6 - 24x5 - 15x4 - 12x3 + 36x2 + 24 \( 2^{32}\cdot 3^{10} \) $C_2\times S_3\wr C_2$ (as 12T77) $[2]$
12.0.320979616137216.19 x12 + 6x10 - 8x9 + 27x8 - 36x7 + 62x6 - 108x5 + 105x4 - 76x3 + 180x2 + 48x + 16 \( 2^{26}\cdot 3^{14} \) $C_2\times S_3\wr C_2$ (as 12T77) Trivial
12.0.320979616137216.20 x12 - 2x11 + 5x10 - 6x9 + 11x8 - 16x7 + 18x6 - 28x5 + 26x4 - 40x3 + 28x2 - 24x + 36 \( 2^{26}\cdot 3^{14} \) $C_2\times S_3\wr C_2$ (as 12T77) Trivial
12.0.386869246296064.1 x12 - 4x9 - 4x7 + 36x6 - 28x5 + 71x4 - 36x3 + 32x2 - 8x + 4 \( 2^{26}\cdot 7^{8} \) $C_2\times S_3\wr C_2$ (as 12T77) $[2]$
12.0.397718263265625.1 x12 - 4x11 + 9x10 - 19x9 + 33x8 - 51x7 + 77x6 - 102x5 + 132x4 - 152x3 + 144x2 - 128x + 64 \( 3^{6}\cdot 5^{6}\cdot 19^{2}\cdot 311^{2} \) $C_2\times S_3\wr C_2$ (as 12T77) Trivial
12.0.404961208827904.1 x12 - 8x9 + 9x8 - 12x7 + 32x6 - 28x5 + 18x4 - 24x3 + 8x2 + 4x + 1 \( 2^{24}\cdot 17^{6} \) $C_2\times S_3\wr C_2$ (as 12T77) Trivial
12.0.489494783471841.1 x12 - 3x11 + 7x10 - 11x9 + 18x8 - 22x7 + 33x6 - 44x5 + 72x4 - 88x3 + 112x2 - 96x + 64 \( 3^{6}\cdot 7^{6}\cdot 2389^{2} \) $C_2\times S_3\wr C_2$ (as 12T77) Trivial
12.0.570630428688384.1 x12 + 9x8 - 24x7 + 32x6 - 24x5 + 9x4 + 1 \( 2^{30}\cdot 3^{12} \) $C_2\times S_3\wr C_2$ (as 12T77) $[2]$
12.0.570630428688384.18 x12 - 6x8 + 16x6 + 57x4 + 48x2 + 16 \( 2^{30}\cdot 3^{12} \) $C_2\times S_3\wr C_2$ (as 12T77) $[2]$
12.0.905287744000000.1 x12 + x10 - 2x9 + x8 + 4x7 + 8x6 + 8x5 + 4x4 - 16x3 + 16x2 + 64 \( 2^{12}\cdot 5^{6}\cdot 3761^{2} \) $C_2\times S_3\wr C_2$ (as 12T77) Trivial
12.0.1184787066781696.1 x12 - 4x11 + 11x10 - 38x9 + 83x8 - 128x7 + 195x6 - 234x5 + 206x4 - 144x3 + 92x2 - 40x + 8 \( 2^{22}\cdot 7^{10} \) $C_2\times S_3\wr C_2$ (as 12T77) $[3]$
12.0.1283918464548864.2 x12 - 6x11 + 27x10 - 78x9 + 171x8 - 276x7 + 334x6 - 276x5 + 171x4 - 78x3 + 27x2 - 6x + 1 \( 2^{28}\cdot 3^{14} \) $C_2\times S_3\wr C_2$ (as 12T77) Trivial
12.0.1283918464548864.3 x12 - 2x11 + 3x10 - 6x9 + 28x8 - 62x7 + 85x6 - 62x5 + 28x4 - 6x3 + 3x2 - 2x + 1 \( 2^{28}\cdot 3^{14} \) $C_2\times S_3\wr C_2$ (as 12T77) Trivial
12.0.1283918464548864.27 x12 + 6x10 - 8x9 + 45x8 - 12x7 - 46x6 + 108x5 + 9x4 - 76x3 + 108x2 - 48x + 16 \( 2^{28}\cdot 3^{14} \) $C_2\times S_3\wr C_2$ (as 12T77) Trivial
12.0.1619844835311616.2 x12 - 4x11 + 8x10 - 8x9 - 9x8 + 16x7 + 40x6 - 152x5 + 259x4 - 100x3 + 32x2 - 24x + 9 \( 2^{26}\cdot 17^{6} \) $C_2\times S_3\wr C_2$ (as 12T77) Trivial
12.0.1624959306694656.19 x12 - 4x9 - 9x8 + 24x7 + 8x6 - 36x5 + 33x4 - 92x3 + 180x2 - 96x + 16 \( 2^{22}\cdot 3^{18} \) $C_2\times S_3\wr C_2$ (as 12T77) Trivial
12.0.1624959306694656.36 x12 - 12x9 + 18x8 - 36x7 + 72x6 - 108x5 + 225x4 - 468x3 + 648x2 - 432x + 144 \( 2^{22}\cdot 3^{18} \) $C_2\times S_3\wr C_2$ (as 12T77) Trivial
12.0.1624959306694656.37 x12 - 12x10 - 8x9 + 45x8 + 48x7 - 46x6 - 36x5 + 129x4 + 356x3 + 612x2 + 576x + 208 \( 2^{22}\cdot 3^{18} \) $C_2\times S_3\wr C_2$ (as 12T77) Trivial
12.0.1725239296000000.1 x12 - 2x11 - x10 + 2x9 + 7x8 - 4x7 - 12x6 - 8x5 + 28x4 + 16x3 - 16x2 - 64x + 64 \( 2^{18}\cdot 5^{6}\cdot 11^{2}\cdot 59^{2} \) $C_2\times S_3\wr C_2$ (as 12T77) Trivial
12.0.1828652958613504.3 x12 + 7x10 - 5x8 - 7x6 + 24x4 - 8x2 + 4 \( 2^{18}\cdot 17^{8} \) $C_2\times S_3\wr C_2$ (as 12T77) $[2]$
12.0.1876076347807809.1 x12 - 4x11 + 5x10 + x9 - 9x8 + 13x7 - 17x6 + 26x5 - 36x4 + 8x3 + 80x2 - 128x + 64 \( 3^{8}\cdot 7^{6}\cdot 1559^{2} \) $C_2\times S_3\wr C_2$ (as 12T77) Trivial
12.0.2282521714753536.35 x12 - 4x11 + 4x10 + 4x9 - x8 - 32x7 + 52x6 - 16x5 - 20x4 - 24x3 + 132x2 - 144x + 54 \( 2^{32}\cdot 3^{12} \) $C_2\times S_3\wr C_2$ (as 12T77) $[2]$
12.0.2359428132863025.1 x12 - 4x11 + 7x10 - 9x9 + 9x8 - x7 - 9x6 - 2x5 + 36x4 - 72x3 + 112x2 - 128x + 64 \( 3^{6}\cdot 5^{2}\cdot 7^{6}\cdot 1049^{2} \) $C_2\times S_3\wr C_2$ (as 12T77) Trivial
12.0.2392095758811136.1 x12 - 4x11 + 9x10 - 18x9 + 34x8 - 56x7 + 82x6 - 112x5 + 136x4 - 144x3 + 144x2 - 128x + 64 \( 2^{16}\cdot 7^{6}\cdot 557^{2} \) $C_2\times S_3\wr C_2$ (as 12T77) $[3]$
12.0.2888816545234944.1 x12 - 6x11 + 9x10 + 10x9 - 12x8 - 78x7 + 189x6 - 186x5 + 114x4 - 62x3 + 27x2 - 6x + 1 \( 2^{26}\cdot 3^{16} \) $C_2\times S_3\wr C_2$ (as 12T77) $[3]$
12.0.2888816545234944.22 x12 - 6x11 + 27x10 - 74x9 + 162x8 - 270x7 + 379x6 - 486x5 + 444x4 - 366x3 + 261x2 - 90x + 75 \( 2^{26}\cdot 3^{16} \) $C_2\times S_3\wr C_2$ (as 12T77) Trivial
12.0.4673045849702400.1 x12 - 4x11 + 6x10 - 4x9 - x8 + 12x7 - 26x6 + 24x5 - 4x4 - 32x3 + 96x2 - 128x + 64 \( 2^{18}\cdot 3^{6}\cdot 5^{2}\cdot 23^{2}\cdot 43^{2} \) $C_2\times S_3\wr C_2$ (as 12T77) Trivial
12.0.4794789147181056.1 x12 - 4x11 + 6x10 - 4x9 + 3x8 - 12x7 + 26x6 - 24x5 + 12x4 - 32x3 + 96x2 - 128x + 64 \( 2^{18}\cdot 3^{6}\cdot 5009^{2} \) $C_2\times S_3\wr C_2$ (as 12T77) Trivial
Next

Download all search results for