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Label Polynomial Discriminant Galois group Class group
12.0.48944365800625.1 x12 + 2x10 - 3x9 + 9x8 - 7x7 + 20x6 - 8x5 + 19x4 - 2x3 + 13x2 + 5 \( 5^{4}\cdot 23^{8} \) $C_4^2:C_3:C_2^2$ (as 12T112) Trivial
12.0.506105245349089.1 x12 - 2x11 + 13x10 - 24x9 + 86x8 - 130x7 + 306x6 - 378x5 + 592x4 - 452x3 + 514x2 - 196x + 245 \( 23^{6}\cdot 43^{4} \) $C_4^2:C_3:C_2^2$ (as 12T112) Trivial
12.0.899086312013824.1 x12 - 6x11 + 28x10 - 80x9 + 186x8 - 312x7 + 422x6 - 416x5 + 302x4 - 164x3 + 64x2 - 16x + 2 \( 2^{22}\cdot 11^{8} \) $C_4^2:C_3:C_2^2$ (as 12T112) Trivial
12.0.899086312013824.5 x12 - 4x10 + 13x8 - 22x6 + 21x4 - 12x2 + 4 \( 2^{22}\cdot 11^{8} \) $C_4^2:C_3:C_2^2$ (as 12T112) Trivial
12.0.899086312013824.8 x12 - 10x8 + 26x4 + 22x2 + 9 \( 2^{22}\cdot 11^{8} \) $C_4^2:C_3:C_2^2$ (as 12T112) Trivial
12.0.1113034787454976.1 x12 - 4x11 + 11x10 - 24x9 + 38x8 - 44x7 + 43x6 - 22x5 + 2x3 - 3x2 + 2x + 1 \( 2^{16}\cdot 19^{8} \) $C_4^2:C_3:C_2^2$ (as 12T112) $[2]$
12.0.1677721600000000.3 x12 - 7x8 + 13x4 + 1 \( 2^{32}\cdot 5^{8} \) $C_4^2:C_3:C_2^2$ (as 12T112) Trivial
12.0.2483630085505024.12 x12 + 4x10 + 3x8 - 4x6 - 21x4 + 24x2 + 1 \( 2^{24}\cdot 23^{6} \) $C_4^2:C_3:C_2^2$ (as 12T112) $[2]$
12.0.2483630085505024.31 x12 - 16x10 + 118x8 - 460x6 + 1035x4 - 1058x2 + 529 \( 2^{24}\cdot 23^{6} \) $C_4^2:C_3:C_2^2$ (as 12T112) Trivial
12.0.2483630085505024.34 x12 - 4x10 + 26x8 + 48x6 + 259x4 - 782x2 + 529 \( 2^{24}\cdot 23^{6} \) $C_4^2:C_3:C_2^2$ (as 12T112) $[2]$
12.0.3596345248055296.13 x12 + 27x8 - 22x6 - 54x4 + 44x2 + 36 \( 2^{24}\cdot 11^{8} \) $C_4^2:C_3:C_2^2$ (as 12T112) Trivial
12.0.3596345248055296.14 x12 - 4x11 + 18x10 - 40x9 + 84x8 - 112x7 + 154x6 - 152x5 + 176x4 - 128x3 + 112x2 - 44x + 38 \( 2^{24}\cdot 11^{8} \) $C_4^2:C_3:C_2^2$ (as 12T112) Trivial
12.0.5135673858195456.15 x12 - 3x8 + 9x4 + 9 \( 2^{30}\cdot 3^{14} \) $C_4^2:C_3:C_2^2$ (as 12T112) $[2]$
12.0.5182746699759616.22 x12 + x10 + 6x8 - 10x6 - 13x4 + 3x2 + 16 \( 2^{30}\cdot 13^{6} \) $C_4^2:C_3:C_2^2$ (as 12T112) $[2]$
12.0.6710886400000000.5 x12 + 9x10 + 34x8 + 64x6 + 66x4 + 34x2 + 4 \( 2^{34}\cdot 5^{8} \) $C_4^2:C_3:C_2^2$ (as 12T112) Trivial
12.0.6710886400000000.7 x12 + 8x8 + 28x4 + 16 \( 2^{34}\cdot 5^{8} \) $C_4^2:C_3:C_2^2$ (as 12T112) Trivial
12.0.7608796557869056.2 x12 + 4x10 + 15x8 + 20x6 - 15x4 + 1 \( 2^{32}\cdot 11^{6} \) $C_4^2:C_3:C_2^2$ (as 12T112) $[2]$
12.0.7608796557869056.18 x12 - 10x8 - 44x4 + 484 \( 2^{32}\cdot 11^{6} \) $C_4^2:C_3:C_2^2$ (as 12T112) Trivial
12.0.7608796557869056.19 x12 - 6x8 + 20x4 + 484 \( 2^{32}\cdot 11^{6} \) $C_4^2:C_3:C_2^2$ (as 12T112) $[2]$
12.0.9979479338254336.7 x12 + 7x10 + 16x8 + 20x6 + 9x4 + 7x2 + 4 \( 2^{24}\cdot 29^{6} \) $C_4^2:C_3:C_2^2$ (as 12T112) $[2]$
12.0.10485760000000000.9 x12 + 3x10 + 10x8 + 10x6 - 5x4 - 7x2 + 4 \( 2^{30}\cdot 5^{10} \) $C_4^2:C_3:C_2^2$ (as 12T112) $[2]$
12.4.10761436540174336.1 x12 - 6x11 + 8x10 + 20x8 - 36x7 - 22x6 - 16x5 + 72x4 + 48x3 - 60x - 34 \( 2^{22}\cdot 37^{6} \) $C_4^2:C_3:C_2^2$ (as 12T112) $[2]$
12.4.10761436540174336.2 x12 - 6x11 + 14x10 + 4x9 - 80x8 + 140x7 + 6x6 - 244x5 + 198x4 + 124x3 - 144x2 - 52x + 38 \( 2^{22}\cdot 37^{6} \) $C_4^2:C_3:C_2^2$ (as 12T112) Trivial
12.0.13685690504052736.3 x12 - 4x11 + 6x10 - 12x9 + 23x8 + 16x7 + 44x6 + 16x5 + 23x4 - 12x3 + 6x2 - 4x + 1 \( 2^{24}\cdot 13^{8} \) $C_4^2:C_3:C_2^2$ (as 12T112) $[2]$
12.0.14385380992221184.19 x12 + 2x10 + 6x8 + 44x6 + 68x4 + 32x2 + 64 \( 2^{26}\cdot 11^{8} \) $C_4^2:C_3:C_2^2$ (as 12T112) $[2]$
12.0.14889840956932096.2 x12 + 8x10 + 37x8 + 82x6 + 48x4 + 10x2 + 1 \( 2^{24}\cdot 31^{6} \) $C_4^2:C_3:C_2^2$ (as 12T112) $[2]$
12.0.14889840956932096.47 x12 - 4x10 + 33x8 - 182x6 + 652x4 - 3782x2 + 8649 \( 2^{24}\cdot 31^{6} \) $C_4^2:C_3:C_2^2$ (as 12T112) $[2]$
12.0.14889840956932096.48 x12 - 6x10 + 19x8 - 186x6 + 744x4 - 1922x2 + 8649 \( 2^{24}\cdot 31^{6} \) $C_4^2:C_3:C_2^2$ (as 12T112) Trivial
12.0.20542695432781824.6 x12 - 9x10 + 33x8 - 26x6 - 3x4 + 9x2 + 1 \( 2^{32}\cdot 3^{14} \) $C_4^2:C_3:C_2^2$ (as 12T112) $[2]$
12.0.20542695432781824.8 x12 - 3x8 + 20x6 + 3x4 + 12x2 + 1 \( 2^{32}\cdot 3^{14} \) $C_4^2:C_3:C_2^2$ (as 12T112) $[2]$
12.0.20542695432781824.42 x12 - 6x8 + 36 \( 2^{32}\cdot 3^{14} \) $C_4^2:C_3:C_2^2$ (as 12T112) $[2]$
12.0.20730986799038464.71 x12 + 9x8 - 91x4 + 169 \( 2^{32}\cdot 13^{6} \) $C_4^2:C_3:C_2^2$ (as 12T112) Trivial
12.0.20730986799038464.73 x12 + 9x8 + 69x4 + 169 \( 2^{32}\cdot 13^{6} \) $C_4^2:C_3:C_2^2$ (as 12T112) $[2]$
12.0.26843545600000000.7 x12 + 6x10 + 24x8 + 96x6 + 136x4 + 176x2 + 64 \( 2^{36}\cdot 5^{8} \) $C_4^2:C_3:C_2^2$ (as 12T112) Trivial
12.0.30435186231476224.6 x12 + 10x10 + 51x8 + 128x6 + 137x4 + 18x2 + 1 \( 2^{34}\cdot 11^{6} \) $C_4^2:C_3:C_2^2$ (as 12T112) $[2]$
12.0.30435186231476224.13 x12 + 8x10 + 10x8 - 28x6 - 40x4 + 56x2 + 4 \( 2^{34}\cdot 11^{6} \) $C_4^2:C_3:C_2^2$ (as 12T112) $[2]$
12.0.30435186231476224.28 x12 - 6x10 + 49x8 - 132x6 + 363x4 - 242x2 + 121 \( 2^{34}\cdot 11^{6} \) $C_4^2:C_3:C_2^2$ (as 12T112) Trivial
12.0.30435186231476224.34 x12 + 14x10 + 69x8 + 140x6 + 67x4 + 66x2 + 121 \( 2^{34}\cdot 11^{6} \) $C_4^2:C_3:C_2^2$ (as 12T112) $[2]$
12.0.30435186231476224.40 x12 + 10x10 + 59x8 + 176x6 + 209x4 + 242x2 + 121 \( 2^{34}\cdot 11^{6} \) $C_4^2:C_3:C_2^2$ (as 12T112) Trivial
12.0.30435186231476224.42 x12 + 6x10 + 29x8 + 16x6 + 243x4 + 286x2 + 121 \( 2^{34}\cdot 11^{6} \) $C_4^2:C_3:C_2^2$ (as 12T112) $[2]$
12.0.32784148919812096.1 x12 - 2x11 + 2x10 + 7x9 - 10x8 + 14x7 + 6x6 - 4x5 + 45x4 - 56x3 + 68x2 - 9x + 2 \( 2^{16}\cdot 29^{8} \) $C_4^2:C_3:C_2^2$ (as 12T112) Trivial
12.0.50515130076626944.37 x12 + 17x8 + 133x4 + 361 \( 2^{30}\cdot 19^{6} \) $C_4^2:C_3:C_2^2$ (as 12T112) $[2]$
12.0.50515130076626944.38 x12 + 17x8 + 229x4 + 361 \( 2^{30}\cdot 19^{6} \) $C_4^2:C_3:C_2^2$ (as 12T112) $[2]$
12.0.54742762016210944.47 x12 - 2x10 + 13x8 + 26x6 - 91x4 + 468x2 + 676 \( 2^{26}\cdot 13^{8} \) $C_4^2:C_3:C_2^2$ (as 12T112) Trivial
12.0.82170781731127296.8 x12 + 6x10 + 15x8 + 40x6 + 33x4 + 6x2 + 1 \( 2^{34}\cdot 3^{14} \) $C_4^2:C_3:C_2^2$ (as 12T112) $[2]$
12.0.82170781731127296.12 x12 + 6x8 - 4x6 + 48x4 - 24x2 + 4 \( 2^{34}\cdot 3^{14} \) $C_4^2:C_3:C_2^2$ (as 12T112) $[2]$
12.0.82170781731127296.19 x12 - 18x8 + 16x6 + 87x4 + 24x2 + 4 \( 2^{34}\cdot 3^{14} \) $C_4^2:C_3:C_2^2$ (as 12T112) $[2]$
12.0.82170781731127296.34 x12 + 6x10 + 21x8 + 72x6 + 207x4 + 270x2 + 9 \( 2^{34}\cdot 3^{14} \) $C_4^2:C_3:C_2^2$ (as 12T112) $[2]$
12.0.82170781731127296.37 x12 + 3x10 + 8x6 - 42x4 + 18x2 + 16 \( 2^{34}\cdot 3^{14} \) $C_4^2:C_3:C_2^2$ (as 12T112) $[2]$ (GRH)
12.0.82170781731127296.62 x12 - 6x10 + 21x8 - 60x6 + 135x4 - 162x2 + 81 \( 2^{34}\cdot 3^{14} \) $C_4^2:C_3:C_2^2$ (as 12T112) $[2]$
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