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Label Polynomial Discriminant Galois group Class group
12.0.1157018619904.2 x12 - 5x10 + 11x8 - 13x6 + 9x4 - 3x2 + 1 \( 2^{12}\cdot 7^{10} \) $A_4 \times C_2$ (as 12T7) Trivial
12.0.1511207993344.2 x12 - 2x11 + 2x10 + 2x9 + 3x8 - 4x6 + 3x4 + 2x3 + 2x2 - 2x + 1 \( 2^{18}\cdot 7^{8} \) $A_4 \times C_2$ (as 12T7) Trivial
12.0.1586874322944.5 x12 + 6x10 + 15x8 + 19x6 + 12x4 + 3x2 + 1 \( 2^{12}\cdot 3^{18} \) $A_4 \times C_2$ (as 12T7) Trivial
12.0.8067775586689.1 x12 - 5x11 + 18x10 - 48x9 + 100x8 - 178x7 + 267x6 - 336x5 + 364x4 - 329x3 + 245x2 - 147x + 49 \( 7^{10}\cdot 13^{4} \) $A_4 \times C_2$ (as 12T7) $[2]$
12.0.11284439629824.2 x12 - 4x9 + 15x8 - 12x7 + 8x6 - 12x5 + 15x4 - 4x3 + 1 \( 2^{18}\cdot 3^{16} \) $A_4 \times C_2$ (as 12T7) Trivial
12.4.12745792515625.1 x12 - 3x11 + 8x10 - 15x9 + 18x8 - 19x7 - 8x6 + 18x5 - 7x4 + 15x3 - 15x2 + x + 1 \( 5^{6}\cdot 13^{8} \) $A_4 \times C_2$ (as 12T7) Trivial
12.0.17213603549184.2 x12 - x10 + 3x8 + 5x4 - 2x2 + 1 \( 2^{12}\cdot 3^{6}\cdot 7^{8} \) $A_4 \times C_2$ (as 12T7) Trivial
12.4.27825593350009.1 x12 - 3x11 + 2x10 - 3x9 + 8x8 - 3x7 - 28x6 + 24x5 + x4 + 45x3 - 61x2 + 3x + 1 \( 7^{8}\cdot 13^{6} \) $A_4 \times C_2$ (as 12T7) Trivial
12.0.32357746661769.1 x12 - 6x11 + 12x10 - 3x9 - 18x8 - 3x7 + 67x6 - 39x5 - 39x4 - 12x3 + 36x2 + 12x + 1 \( 3^{18}\cdot 17^{4} \) $A_4 \times C_2$ (as 12T7) $[2]$
12.4.74049191673856.3 x12 - 2x11 - 2x10 + 16x9 - 13x8 - 28x7 + 50x6 - 62x4 + 26x3 + 12x2 - 54x - 27 \( 2^{18}\cdot 7^{10} \) $A_4 \times C_2$ (as 12T7) Trivial
12.4.86161557405625.1 x12 - 5x10 + 18x8 - 20x6 - 7x4 - 15x2 + 1 \( 5^{4}\cdot 13^{10} \) $A_4 \times C_2$ (as 12T7) Trivial (GRH)
12.0.96717311574016.3 x12 + 4x10 - x8 - x4 + 4x2 + 1 \( 2^{24}\cdot 7^{8} \) $A_4 \times C_2$ (as 12T7) Trivial
12.4.96717311574016.4 x12 - 4x10 - x8 - x4 - 4x2 + 1 \( 2^{24}\cdot 7^{8} \) $A_4 \times C_2$ (as 12T7) Trivial
12.4.101559956668416.2 x12 - 6x10 - 16x9 + 3x8 + 42x7 + 28x6 - 6x5 - 24x4 - 36x3 - 36x2 - 18x - 3 \( 2^{18}\cdot 3^{18} \) $A_4 \times C_2$ (as 12T7) Trivial
12.0.213838914125824.1 x12 - 6x11 + 18x10 - 34x9 + 53x8 - 76x7 + 80x6 - 34x5 - 10x4 - 8x3 + 32x2 + 8x + 1 \( 2^{18}\cdot 13^{8} \) $A_4 \times C_2$ (as 12T7) $[3]$
12.0.371667309755625.1 x12 - x11 + 2x10 + 7x9 - x8 + 9x6 - x4 + 7x3 + 2x2 - x + 1 \( 3^{6}\cdot 5^{4}\cdot 13^{8} \) $A_4 \times C_2$ (as 12T7) $[2]$
12.4.564668382613504.3 x12 + 6x10 + 2x8 - 19x6 + 2x4 + 6x2 + 1 \( 2^{12}\cdot 13^{10} \) $A_4 \times C_2$ (as 12T7) Trivial
12.4.722204136308736.9 x12 - 6x10 + 21x8 - 44x6 + 54x4 - 36x2 + 9 \( 2^{24}\cdot 3^{16} \) $A_4 \times C_2$ (as 12T7) Trivial
12.0.722204136308736.14 x12 + 6x10 + 21x8 + 44x6 + 54x4 + 36x2 + 9 \( 2^{24}\cdot 3^{16} \) $A_4 \times C_2$ (as 12T7) $[3]$
12.4.1039043198361249.1 x12 - 3x11 + 3x10 - 7x9 + 18x8 - 18x7 - 31x6 + 12x5 + 72x4 + 60x3 - 108x2 - 27x + 9 \( 3^{16}\cdot 17^{6} \) $A_4 \times C_2$ (as 12T7) Trivial
12.4.1101670627147776.3 x12 - 2x11 - 6x10 - 2x9 - 13x8 - 48x7 + 28x6 + 48x5 - 13x4 + 2x3 - 6x2 + 2x + 1 \( 2^{18}\cdot 3^{6}\cdot 7^{8} \) $A_4 \times C_2$ (as 12T7) Trivial
12.0.1363454074150441.3 x12 - x11 + 14x10 - 13x9 + 83x8 - 70x7 + 232x6 - 119x5 + 244x4 - 97x3 + 70x2 - 8x + 1 \( 7^{10}\cdot 13^{6} \) $A_4 \times C_2$ (as 12T7) $[2, 2]$
12.0.1998099208210609.1 x12 - 3x11 + 13x10 - 23x9 + 36x8 - 26x7 + 19x6 + 8x5 + 16x4 - 4x3 + 34x2 + 5x + 1 \( 7^{6}\cdot 19^{8} \) $A_4 \times C_2$ (as 12T7) $[4]$
12.0.2025170913606201.1 x12 - 6x10 + 33x8 - 87x6 + 360x4 + 219x2 + 289 \( 3^{16}\cdot 19^{6} \) $A_4 \times C_2$ (as 12T7) $[4]$
12.4.2154038935140625.3 x12 - x11 - 10x10 + 6x9 + 32x8 - 12x7 - 41x6 - 16x5 - 24x4 - 19x3 + 9x2 + 9x + 1 \( 5^{6}\cdot 13^{10} \) $A_4 \times C_2$ (as 12T7) $[2]$
12.4.2572632521265625.1 x12 - x11 - 7x10 + 2x9 + 7x8 - 2x7 - 127x6 - 77x5 + 98x4 + 28x3 + 49 \( 5^{6}\cdot 7^{8}\cdot 13^{4} \) $A_4 \times C_2$ (as 12T7) Trivial
12.4.3429038075724121.1 x12 - 3x11 - 2x10 + x9 + 36x8 - 23x7 - 116x6 - 10x5 + 319x4 + 209x3 - 473x2 - 247x + 169 \( 7^{8}\cdot 29^{6} \) $A_4 \times C_2$ (as 12T7) Trivial
12.0.3493441689358336.14 x12 - 6x11 + 13x10 - 10x9 - 21x8 + 78x7 - 73x6 - 30x5 + 169x4 - 210x3 - 101x2 + 190x + 202 \( 2^{12}\cdot 31^{8} \) $A_4 \times C_2$ (as 12T7) $[4]$
12.0.4452139149819904.5 x12 + 10x10 + 21x8 + 66x6 + 110x4 + 116x2 + 49 \( 2^{18}\cdot 19^{8} \) $A_4 \times C_2$ (as 12T7) Trivial
12.0.4739148267126784.13 x12 - 7x8 + 14x6 + 98x4 + 294x2 + 49 \( 2^{24}\cdot 7^{10} \) $A_4 \times C_2$ (as 12T7) $[4]$
12.4.4739148267126784.22 x12 - 7x8 - 14x6 + 98x4 - 294x2 + 49 \( 2^{24}\cdot 7^{10} \) $A_4 \times C_2$ (as 12T7) Trivial
12.4.5881408402696281.3 x12 - 13x10 + 22x8 - 104x6 + x4 - 195x2 + 1 \( 3^{6}\cdot 7^{10}\cdot 13^{4} \) $A_4 \times C_2$ (as 12T7) $[2]$
12.0.6499837226778624.43 x12 + 12x10 + 54x8 + 132x6 + 189x4 + 162x2 + 81 \( 2^{24}\cdot 3^{18} \) $A_4 \times C_2$ (as 12T7) $[2]$
12.4.6499837226778624.45 x12 - 12x10 + 54x8 - 132x6 + 189x4 - 162x2 + 81 \( 2^{24}\cdot 3^{18} \) $A_4 \times C_2$ (as 12T7) Trivial
12.0.9291682743890625.2 x12 - 2x11 - 4x10 + x9 + 19x8 - 3x7 + 41x6 + 36x5 + 121x4 - 13x3 + 176x2 - 16x + 64 \( 3^{6}\cdot 5^{6}\cdot 13^{8} \) $A_4 \times C_2$ (as 12T7) $[2, 2]$
12.0.9351388785251241.3 x12 + 24x8 + 13x6 + 144x4 + 156x2 + 361 \( 3^{18}\cdot 17^{6} \) $A_4 \times C_2$ (as 12T7) $[2, 2]$
12.0.9845005879332009.3 x12 + 18x10 - 32x9 + 267x8 - 324x7 + 1168x6 - 384x5 + 2799x4 - 228x3 + 4545x2 + 2052x + 3249 \( 3^{18}\cdot 71^{4} \) $A_4 \times C_2$ (as 12T7) $[4]$
12.4.13685690504052736.12 x12 - 2x10 - 6x8 - 30x6 - 7x4 - 28x2 + 25 \( 2^{24}\cdot 13^{8} \) $A_4 \times C_2$ (as 12T7) Trivial
12.0.13685690504052736.17 x12 + 2x10 - 6x8 + 30x6 - 7x4 + 28x2 + 25 \( 2^{24}\cdot 13^{8} \) $A_4 \times C_2$ (as 12T7) Trivial
12.0.20284857552156561.2 x12 - 6x11 + 17x10 - 30x9 + 94x8 - 262x7 + 374x6 - 265x5 + 566x4 - 969x3 + 580x2 - 100x + 1000 \( 3^{6}\cdot 7^{8}\cdot 13^{6} \) $A_4 \times C_2$ (as 12T7) $[2, 4]$
12.0.25112847391952896.2 x12 + 2x10 + 8x8 + 12x6 + 22x4 - 11x2 + 49 \( 2^{12}\cdot 19^{10} \) $A_4 \times C_2$ (as 12T7) Trivial
12.0.33045608803078144.1 x12 + 18x10 + 114x8 + 260x6 + 1859x4 - 4394x2 + 28561 \( 2^{12}\cdot 7^{10}\cdot 13^{4} \) $A_4 \times C_2$ (as 12T7) $[2, 4]$
12.0.36138776487264256.2 x12 - 2x11 - 4x10 + 14x9 - 15x8 + 90x7 + 50x6 - 644x5 + 1098x4 - 1152x3 + 822x2 - 230x + 25 \( 2^{18}\cdot 13^{10} \) $A_4 \times C_2$ (as 12T7) $[2]$
12.12.52206766144000000.1 x12 - 15x10 + 76x8 - 148x6 + 99x4 - 19x2 + 1 \( 2^{12}\cdot 5^{6}\cdot 13^{8} \) $A_4 \times C_2$ (as 12T7) Trivial (GRH)
12.12.113973630361636864.1 x12 - 15x10 + 74x8 - 136x6 + 92x4 - 18x2 + 1 \( 2^{12}\cdot 7^{8}\cdot 13^{6} \) $A_4 \times C_2$ (as 12T7) Trivial
12.0.209824841467085056.5 x12 + 2x10 + 12x8 + 26x6 + 115x4 + 36x2 + 64 \( 2^{8}\cdot 31^{10} \) $A_4 \times C_2$ (as 12T7) $[18]$
12.0.219708209445758929.3 x12 - 5x11 + 33x10 - 107x9 + 337x8 - 651x7 + 1205x6 + 1204x5 + 1632x4 - 1608x3 + 44000x2 + 119712x + 118336 \( 7^{10}\cdot 167^{4} \) $A_4 \times C_2$ (as 12T7) $[16]$
12.0.223580268118933504.10 x12 - 6x11 + 17x10 - 24x9 - 7x8 + 90x7 - 85x6 - 60x5 + 331x4 - 234x3 + 215x2 + 36x + 4 \( 2^{18}\cdot 31^{8} \) $A_4 \times C_2$ (as 12T7) $[2]$
12.4.223580268118933504.33 x12 - 6x11 + 23x10 - 60x9 + 95x8 - 86x7 - 63x6 + 304x5 - 467x4 + 414x3 - 75x2 - 80x + 46 \( 2^{18}\cdot 31^{8} \) $A_4 \times C_2$ (as 12T7) Trivial
12.4.284936905588473856.24 x12 - 8x10 + 23x8 - 56x6 + 207x4 - 648x2 + 729 \( 2^{24}\cdot 19^{8} \) $A_4 \times C_2$ (as 12T7) Trivial
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