## Results (displaying matches 1-50 of 85) Next

Label Polynomial Discriminant Galois group Class group
12.0.2111929749504.1 x12 - 6x11 + 15x10 - 20x9 + 10x8 + 14x7 - 21x6 - 4x5 + 17x4 - 4x3 - 4x2 + 2x + 1 $$2^{12}\cdot 3^{6}\cdot 29^{4}$$ $C_2\times S_3^2$ (as 12T37) Trivial
12.0.8745694265344.1 x12 - 4x9 + 7x8 + 8x6 - 16x5 + 11x4 - 8x3 + 8x2 - 4x + 1 $$2^{26}\cdot 19^{4}$$ $C_2\times S_3^2$ (as 12T37) Trivial
12.4.26873856000000.1 x12 - 2x9 - 7x6 - 2x3 + 1 $$2^{18}\cdot 3^{8}\cdot 5^{6}$$ $C_2\times S_3^2$ (as 12T37) Trivial
12.4.30576476160000.1 x12 - 2x10 - 9x8 + 11x4 + 2x2 + 1 $$2^{26}\cdot 3^{6}\cdot 5^{4}$$ $C_2\times S_3^2$ (as 12T37) Trivial
12.0.35664401793024.1 x12 - 4x11 + 16x10 - 36x9 + 73x8 - 104x7 + 134x6 - 132x5 + 119x4 - 88x3 + 58x2 - 36x + 17 $$2^{26}\cdot 3^{12}$$ $C_2\times S_3^2$ (as 12T37) Trivial
12.0.35664401793024.5 x12 - 4x9 + 6x6 - 4x3 + 2 $$2^{26}\cdot 3^{12}$$ $C_2\times S_3^2$ (as 12T37) Trivial
12.0.116304318664704.1 x12 - 6x11 + 16x10 - 14x9 + 2x7 + 18x6 - 2x5 + 14x3 + 16x2 + 6x + 1 $$2^{12}\cdot 3^{6}\cdot 79^{4}$$ $C_2\times S_3^2$ (as 12T37) Trivial
12.4.320979616137216.2 x12 - 12x9 + 26x6 + 60x3 - 2 $$2^{26}\cdot 3^{14}$$ $C_2\times S_3^2$ (as 12T37) Trivial
12.0.320979616137216.15 x12 + 2x10 + 7x8 - 24x6 + 3x4 + 6x2 + 9 $$2^{26}\cdot 3^{14}$$ $C_2\times S_3^2$ (as 12T37) $[2]$
12.0.406239826673664.12 x12 - 12x10 - 8x9 + 45x8 + 60x7 - 34x6 - 108x5 + 9x4 + 200x3 + 216x2 + 96x + 16 $$2^{20}\cdot 3^{18}$$ $C_2\times S_3^2$ (as 12T37) Trivial
12.0.722204136308736.10 x12 - 4x9 + 8x6 - 12x3 + 9 $$2^{24}\cdot 3^{16}$$ $C_2\times S_3^2$ (as 12T37) Trivial
12.0.1624959306694656.31 x12 - 6x10 + 27x8 - 36x7 - 26x6 + 108x5 - 3x4 - 324x3 + 522x2 - 360x + 100 $$2^{22}\cdot 3^{18}$$ $C_2\times S_3^2$ (as 12T37) Trivial
12.0.1624959306694656.34 x12 - 12x10 - 12x9 + 54x8 + 108x7 - 40x6 - 324x5 - 327x4 + 180x3 + 612x2 + 432x + 112 $$2^{22}\cdot 3^{18}$$ $C_2\times S_3^2$ (as 12T37) Trivial
12.4.1776132919332864.2 x12 - 2x10 - 10x9 + 3x8 + 21x6 - 34x4 + 23x2 + 10x + 1 $$2^{12}\cdot 3^{6}\cdot 29^{6}$$ $C_2\times S_3^2$ (as 12T37) Trivial
12.0.2888816545234944.17 x12 - 4x9 + 8x6 - 24x3 + 36 $$2^{26}\cdot 3^{16}$$ $C_2\times S_3^2$ (as 12T37) Trivial
12.4.3157195629789184.13 x12 - 4x11 + 10x10 - 4x9 - 21x8 + 92x7 - 194x6 + 240x5 - 207x4 + 52x3 + 104x2 - 88x + 17 $$2^{26}\cdot 19^{6}$$ $C_2\times S_3^2$ (as 12T37) Trivial
12.4.6499837226778624.15 x12 - 4x9 - 12x6 - 4x3 + 1 $$2^{24}\cdot 3^{18}$$ $C_2\times S_3^2$ (as 12T37) Trivial
12.4.6499837226778624.23 x12 - 4x9 - 4x6 + 4x3 + 1 $$2^{24}\cdot 3^{18}$$ $C_2\times S_3^2$ (as 12T37) Trivial
12.4.6499837226778624.24 x12 - 8x9 + 2x6 + 8x3 + 1 $$2^{24}\cdot 3^{18}$$ $C_2\times S_3^2$ (as 12T37) Trivial
12.0.6499837226778624.36 x12 - 4x9 + 28x6 + 48x3 + 24 $$2^{24}\cdot 3^{18}$$ $C_2\times S_3^2$ (as 12T37) $[2]$
12.0.6985704159275625.1 x12 - 6x11 + 31x10 - 100x9 + 274x8 - 562x7 + 975x6 - 1312x5 + 1460x4 - 1222x3 + 790x2 - 329x + 79 $$3^{6}\cdot 5^{4}\cdot 7^{6}\cdot 19^{4}$$ $C_2\times S_3^2$ (as 12T37) Trivial
12.0.19343350710140625.1 x12 + 25x10 + 183x8 + 436x6 + 391x4 + 114x2 + 9 $$3^{6}\cdot 5^{6}\cdot 7^{4}\cdot 29^{4}$$ $C_2\times S_3^2$ (as 12T37) $[2]$
12.4.25999348907114496.6 x12 - 8x9 + 14x6 - 4x3 - 2 $$2^{26}\cdot 3^{18}$$ $C_2\times S_3^2$ (as 12T37) Trivial
12.0.25999348907114496.7 x12 + 20x6 + 4 $$2^{26}\cdot 3^{18}$$ $C_2\times S_3^2$ (as 12T37) $[2]$
12.0.25999348907114496.13 x12 - 8x9 + 22x6 - 12x3 + 6 $$2^{26}\cdot 3^{18}$$ $C_2\times S_3^2$ (as 12T37) $[2]$
12.4.25999348907114496.18 x12 - 16x6 + 16 $$2^{26}\cdot 3^{18}$$ $C_2\times S_3^2$ (as 12T37) Trivial
12.0.25999348907114496.22 x12 + 16x6 + 16 $$2^{26}\cdot 3^{18}$$ $C_2\times S_3^2$ (as 12T37) $[2]$
12.0.32905425960566784.34 x12 + 81x8 - 108x7 - 450x6 + 972x5 + 81x4 - 1800x3 + 1944x2 - 864x + 144 $$2^{20}\cdot 3^{22}$$ $C_2\times S_3^2$ (as 12T37) Trivial
12.0.32905425960566784.38 x12 + 18x10 + 135x8 + 462x6 + 513x4 - 324x2 + 144 $$2^{20}\cdot 3^{22}$$ $C_2\times S_3^2$ (as 12T37) Trivial
12.0.58498535041007616.48 x12 - 12x9 + 72x6 - 108x3 + 81 $$2^{24}\cdot 3^{20}$$ $C_2\times S_3^2$ (as 12T37) Trivial
12.0.58498535041007616.51 x12 + 144x6 - 648x3 + 729 $$2^{24}\cdot 3^{20}$$ $C_2\times S_3^2$ (as 12T37) Trivial
12.0.131621703842267136.39 x12 + 18x10 - 12x9 + 81x8 - 144x7 - 432x6 + 324x5 + 837x4 - 72x3 - 324x2 + 36 $$2^{22}\cdot 3^{22}$$ $C_2\times S_3^2$ (as 12T37) Trivial
12.0.131621703842267136.89 x12 - 18x10 - 12x9 + 135x8 + 180x7 - 414x6 - 972x5 - 27x4 + 1728x3 + 2106x2 + 1080x + 252 $$2^{22}\cdot 3^{22}$$ $C_2\times S_3^2$ (as 12T37) Trivial
12.0.233994140164030464.70 x12 - 12x9 + 54x6 - 108x3 + 162 $$2^{26}\cdot 3^{20}$$ $C_2\times S_3^2$ (as 12T37) Trivial
12.0.233994140164030464.73 x12 - 12x9 + 72x6 - 648x3 + 2916 $$2^{26}\cdot 3^{20}$$ $C_2\times S_3^2$ (as 12T37) Trivial
12.0.233994140164030464.79 x12 - 12x9 + 72x6 + 216x3 + 324 $$2^{26}\cdot 3^{20}$$ $C_2\times S_3^2$ (as 12T37) Trivial
12.0.328460078808039424.12 x12 - 4x11 + 6x10 + 20x9 - 36x8 - 32x7 + 210x6 + 124x5 - 385x4 - 228x3 + 896x2 + 1256x + 508 $$2^{22}\cdot 23^{8}$$ $C_2\times S_3^2$ (as 12T37) $[6]$
12.0.524546382716993536.8 x12 - 2x11 - 2x10 + 4x9 - 51x8 + 142x7 - 76x6 - 96x5 + 1033x4 - 2982x3 + 3286x2 - 900x + 100 $$2^{20}\cdot 29^{8}$$ $C_2\times S_3^2$ (as 12T37) $[3]$ (GRH)
12.4.526486815369068544.4 x12 - 12x9 - 36x6 + 144x3 - 72 $$2^{24}\cdot 3^{22}$$ $C_2\times S_3^2$ (as 12T37) Trivial
12.0.526486815369068544.18 x12 + 12x6 + 9 $$2^{24}\cdot 3^{22}$$ $C_2\times S_3^2$ (as 12T37) $[2]$
12.0.526486815369068544.19 x12 + 30x6 + 9 $$2^{24}\cdot 3^{22}$$ $C_2\times S_3^2$ (as 12T37) $[2]$
12.4.526486815369068544.26 x12 - 18x6 + 9 $$2^{24}\cdot 3^{22}$$ $C_2\times S_3^2$ (as 12T37) Trivial
12.4.526486815369068544.27 x12 - 12x6 + 9 $$2^{24}\cdot 3^{22}$$ $C_2\times S_3^2$ (as 12T37) Trivial
12.0.526486815369068544.88 x12 - 12x9 + 60x6 - 144x3 + 216 $$2^{24}\cdot 3^{22}$$ $C_2\times S_3^2$ (as 12T37) $[2]$
12.4.578220423796228096.4 x12 - 6x11 + 13x10 - 10x9 - 12x8 + 42x7 - 19x6 - 66x5 + 146x4 - 146x3 + 39x2 + 18x + 1 $$2^{22}\cdot 13^{10}$$ $C_2\times S_3^2$ (as 12T37) $[3]$
12.4.1313840315232157696.3 x12 - 4x11 + 2x10 + 12x9 - 26x8 - 100x7 + 294x6 - 652x5 + 921x4 - 344x3 + 516x2 + 192x - 28 $$2^{24}\cdot 23^{8}$$ $C_2\times S_3^2$ (as 12T37) Trivial (GRH)
12.4.1740631100058763264.8 x12 - 4x10 + 3x8 - 120x6 - 149x4 - 148x2 + 25 $$2^{26}\cdot 11^{10}$$ $C_2\times S_3^2$ (as 12T37) Trivial
12.0.1740631100058763264.11 x12 + 4x10 + 3x8 + 120x6 - 149x4 + 148x2 + 25 $$2^{26}\cdot 11^{10}$$ $C_2\times S_3^2$ (as 12T37) $[2]$
12.4.2105947261476274176.4 x12 - 12x9 + 18x6 + 36x3 - 18 $$2^{26}\cdot 3^{22}$$ $C_2\times S_3^2$ (as 12T37) $[3]$
12.0.2105947261476274176.40 x12 - 12x9 + 72x6 - 72x3 + 36 $$2^{26}\cdot 3^{22}$$ $C_2\times S_3^2$ (as 12T37) $[2]$
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