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Label Polynomial Discriminant Galois group Class group
12.0.2247651966910464.1 x12 - 2x11 + 2x10 - 2x9 + 9x8 - 32x7 + 48x6 - 62x5 + 61x4 + 22x3 - 28x2 + 9 \( 2^{16}\cdot 3^{6}\cdot 19^{6} \) $C_2\times C_4^2:C_3:C_2$ (as 12T97) $[2]$
12.0.2483630085505024.2 x12 + 4x10 + 15x8 + 36x6 + 64x4 + 54x2 + 49 \( 2^{24}\cdot 23^{6} \) $C_2\times C_4^2:C_3:C_2$ (as 12T97) $[2]$
12.0.2483630085505024.19 x12 + 2x10 + 8x8 - 6x6 + 5x4 - 34x2 + 25 \( 2^{24}\cdot 23^{6} \) $C_2\times C_4^2:C_3:C_2$ (as 12T97) $[2]$
12.0.2483630085505024.25 x12 - 4x10 + 15x8 - 36x6 + 64x4 - 54x2 + 49 \( 2^{24}\cdot 23^{6} \) $C_2\times C_4^2:C_3:C_2$ (as 12T97) $[2]$
12.0.7608796557869056.1 x12 + 4x10 + x8 - 8x6 + 23x4 - 8x2 + 1 \( 2^{32}\cdot 11^{6} \) $C_2\times C_4^2:C_3:C_2$ (as 12T97) $[2]$
12.0.7608796557869056.3 x12 - 4x10 + x8 + 8x6 + 23x4 + 8x2 + 1 \( 2^{32}\cdot 11^{6} \) $C_2\times C_4^2:C_3:C_2$ (as 12T97) $[2]$
12.0.7608796557869056.10 x12 - 4x10 + 5x8 + 12x6 - 25x4 - 4x2 + 49 \( 2^{32}\cdot 11^{6} \) $C_2\times C_4^2:C_3:C_2$ (as 12T97) $[2]$
12.0.14889840956932096.9 x12 - 4x10 + 3x8 + 58x6 + 82x4 - 28x2 + 9 \( 2^{24}\cdot 31^{6} \) $C_2\times C_4^2:C_3:C_2$ (as 12T97) $[2]$
12.0.14889840956932096.12 x12 + 11x8 + 6x6 + 38x4 + 2x2 + 9 \( 2^{24}\cdot 31^{6} \) $C_2\times C_4^2:C_3:C_2$ (as 12T97) $[2]$
12.0.14889840956932096.13 x12 + 4x10 + 3x8 - 58x6 + 82x4 + 28x2 + 9 \( 2^{24}\cdot 31^{6} \) $C_2\times C_4^2:C_3:C_2$ (as 12T97) $[2]$
12.0.20542695432781824.3 x12 + 3x8 - 4x6 + 21x4 + 1 \( 2^{32}\cdot 3^{14} \) $C_2\times C_4^2:C_3:C_2$ (as 12T97) $[2]$
12.0.20542695432781824.10 x12 + 6x8 + 8x6 + 48x4 - 24x2 + 4 \( 2^{32}\cdot 3^{14} \) $C_2\times C_4^2:C_3:C_2$ (as 12T97) $[2]$
12.0.20542695432781824.18 x12 + 6x8 - 8x6 + 48x4 + 24x2 + 4 \( 2^{32}\cdot 3^{14} \) $C_2\times C_4^2:C_3:C_2$ (as 12T97) $[2]$
12.0.46221064723759104.31 x12 - 6x10 + 9x8 + 33x4 - 78x2 + 49 \( 2^{30}\cdot 3^{16} \) $C_2\times C_4^2:C_3:C_2$ (as 12T97) $[2]$
12.0.54742762016210944.42 x12 - 10x10 + 65x8 - 260x6 + 676x4 - 1040x2 + 676 \( 2^{26}\cdot 13^{8} \) $C_2\times C_4^2:C_3:C_2$ (as 12T97) $[4]$
12.0.57541523968884736.6 x12 - 24x8 + 148x4 + 16 \( 2^{28}\cdot 11^{8} \) $C_2\times C_4^2:C_3:C_2$ (as 12T97) $[8]$
12.0.82170781731127296.46 x12 - 3x10 + 30x8 - 84x6 + 162x4 - 126x2 + 36 \( 2^{34}\cdot 3^{14} \) $C_2\times C_4^2:C_3:C_2$ (as 12T97) $[4]$
12.0.82170781731127296.58 x12 + 3x10 + 8x6 + 72x4 + 120x2 + 64 \( 2^{34}\cdot 3^{14} \) $C_2\times C_4^2:C_3:C_2$ (as 12T97) $[4]$
12.0.82170781731127296.59 x12 - 6x10 + 16x6 + 168x4 + 144x2 + 64 \( 2^{34}\cdot 3^{14} \) $C_2\times C_4^2:C_3:C_2$ (as 12T97) $[4]$
12.0.131621703842267136.55 x12 + 6x10 + 15x8 + 20x6 + 51x4 + 78x2 + 49 \( 2^{22}\cdot 3^{22} \) $C_2\times C_4^2:C_3:C_2$ (as 12T97) $[2]$
12.0.131621703842267136.80 x12 - 3x11 + 9x10 - 16x9 + 15x8 - 3x7 - 19x6 - 24x5 + 123x4 - 239x3 + 243x2 - 150x + 184 \( 2^{22}\cdot 3^{22} \) $C_2\times C_4^2:C_3:C_2$ (as 12T97) $[4]$
12.0.184884258895036416.25 x12 - 3x8 + 16 \( 2^{32}\cdot 3^{16} \) $C_2\times C_4^2:C_3:C_2$ (as 12T97) $[4]$
12.0.202060520306507776.15 x12 - 4x10 + 21x8 - 40x6 + 51x4 - 32x2 + 9 \( 2^{32}\cdot 19^{6} \) $C_2\times C_4^2:C_3:C_2$ (as 12T97) $[2]$
12.0.202060520306507776.16 x12 + 4x10 + 21x8 + 40x6 + 51x4 + 32x2 + 9 \( 2^{32}\cdot 19^{6} \) $C_2\times C_4^2:C_3:C_2$ (as 12T97) $[2]$
12.0.202060520306507776.24 x12 - 4x10 + 10x8 + 80x4 - 40x2 + 36 \( 2^{32}\cdot 19^{6} \) $C_2\times C_4^2:C_3:C_2$ (as 12T97) $[2]$
12.0.218971048064843776.3 x12 - 4x10 - 8x9 + 55x8 - 8x7 - 88x6 + 8x5 + 55x4 + 8x3 - 4x2 + 1 \( 2^{28}\cdot 13^{8} \) $C_2\times C_4^2:C_3:C_2$ (as 12T97) $[2, 4]$
12.0.218971048064843776.8 x12 - 2x11 + 5x10 - 18x9 + 57x8 - 124x7 + 228x6 - 348x5 + 417x4 - 214x3 + 13x2 + 10x + 1 \( 2^{28}\cdot 13^{8} \) $C_2\times C_4^2:C_3:C_2$ (as 12T97) $[4]$
12.0.218971048064843776.16 x12 - 2x11 + x10 + 20x9 - 26x8 - 16x7 + 92x6 - 112x5 + 160x4 - 176x3 + 120x2 - 32x + 16 \( 2^{28}\cdot 13^{8} \) $C_2\times C_4^2:C_3:C_2$ (as 12T97) $[4]$
12.0.218971048064843776.59 x12 + 10x10 + 65x8 + 260x6 + 676x4 + 1040x2 + 676 \( 2^{28}\cdot 13^{8} \) $C_2\times C_4^2:C_3:C_2$ (as 12T97) $[2, 4]$
12.0.328460078808039424.4 x12 + 4x8 + 36x4 + 16 \( 2^{22}\cdot 23^{8} \) $C_2\times C_4^2:C_3:C_2$ (as 12T97) $[4]$
12.0.328460078808039424.5 x12 - 14x10 + 54x8 + 28x6 - 20x4 + 16x2 + 16 \( 2^{22}\cdot 23^{8} \) $C_2\times C_4^2:C_3:C_2$ (as 12T97) $[4]$
12.0.328683126924509184.9 x12 + 3x10 + 18x8 + 8x6 + 120x4 - 72x2 + 16 \( 2^{36}\cdot 3^{14} \) $C_2\times C_4^2:C_3:C_2$ (as 12T97) $[2]$
12.0.328683126924509184.23 x12 + 6x10 - 16x6 + 168x4 - 144x2 + 64 \( 2^{36}\cdot 3^{14} \) $C_2\times C_4^2:C_3:C_2$ (as 12T97) $[2]$
12.0.328683126924509184.24 x12 - 3x10 - 8x6 + 72x4 - 120x2 + 64 \( 2^{36}\cdot 3^{14} \) $C_2\times C_4^2:C_3:C_2$ (as 12T97) $[2]$
12.0.415989582513831936.43 x12 + 117x4 + 36 \( 2^{30}\cdot 3^{18} \) $C_2\times C_4^2:C_3:C_2$ (as 12T97) $[2, 2]$
12.0.415989582513831936.95 x12 + 36x4 + 144 \( 2^{30}\cdot 3^{18} \) $C_2\times C_4^2:C_3:C_2$ (as 12T97) $[2, 2]$
12.0.429496729600000000.6 x12 - 12x10 + 56x8 - 128x6 + 146x4 - 72x2 + 16 \( 2^{40}\cdot 5^{8} \) $C_2\times C_4^2:C_3:C_2$ (as 12T97) Trivial
12.0.429496729600000000.13 x12 + 6x10 + 34x8 + 96x6 + 96x4 - 64x2 + 64 \( 2^{40}\cdot 5^{8} \) $C_2\times C_4^2:C_3:C_2$ (as 12T97) Trivial
12.0.526486815369068544.5 x12 - 6x10 + 24x8 - 56x6 + 60x4 - 24x2 + 4 \( 2^{24}\cdot 3^{22} \) $C_2\times C_4^2:C_3:C_2$ (as 12T97) $[2]$
12.0.526486815369068544.10 x12 + 6x10 + 24x8 + 56x6 + 60x4 + 24x2 + 4 \( 2^{24}\cdot 3^{22} \) $C_2\times C_4^2:C_3:C_2$ (as 12T97) $[2]$
12.0.638686677648277504.7 x12 - 8x10 + 20x8 + 104x6 + 133x4 + 8x2 + 4 \( 2^{30}\cdot 29^{6} \) $C_2\times C_4^2:C_3:C_2$ (as 12T97) $[2, 2]$
12.0.638686677648277504.18 x12 - 10x10 + 37x8 - 16x6 + 77x4 - 26x2 + 49 \( 2^{30}\cdot 29^{6} \) $C_2\times C_4^2:C_3:C_2$ (as 12T97) $[2, 2]$
12.0.638686677648277504.19 x12 + 10x10 + 37x8 + 16x6 + 77x4 + 26x2 + 49 \( 2^{30}\cdot 29^{6} \) $C_2\times C_4^2:C_3:C_2$ (as 12T97) $[2, 2]$
12.0.808242081226031104.28 x12 - x10 + 4x8 - 20x6 + 58x4 - 42x2 + 16 \( 2^{34}\cdot 19^{6} \) $C_2\times C_4^2:C_3:C_2$ (as 12T97) $[4]$
12.0.808242081226031104.30 x12 + 7x10 + 52x8 + 124x6 + 74x4 - 26x2 + 16 \( 2^{34}\cdot 19^{6} \) $C_2\times C_4^2:C_3:C_2$ (as 12T97) $[4]$
12.0.808242081226031104.45 x12 + 6x10 + 20x8 - 8x6 + 26x4 + 12x2 + 64 \( 2^{34}\cdot 19^{6} \) $C_2\times C_4^2:C_3:C_2$ (as 12T97) $[4]$
12.0.875884192259375104.23 x12 - 4x11 + 10x10 - 24x9 + 123x8 - 236x7 + 352x6 - 240x5 + 208x4 - 80x3 + 224x2 + 56x + 62 \( 2^{30}\cdot 13^{8} \) $C_2\times C_4^2:C_3:C_2$ (as 12T97) $[2, 4]$
12.0.875884192259375104.35 x12 - 2x11 - x10 - 10x9 + 41x8 + 44x7 - 130x6 + 252x5 + 51x4 - 674x3 + 783x2 - 394x + 83 \( 2^{30}\cdot 13^{8} \) $C_2\times C_4^2:C_3:C_2$ (as 12T97) $[4]$
12.0.875884192259375104.54 x12 + 16x10 + 104x8 + 364x6 + 793x4 + 988x2 + 676 \( 2^{30}\cdot 13^{8} \) $C_2\times C_4^2:C_3:C_2$ (as 12T97) $[4]$
12.0.875884192259375104.77 x12 - 2x10 + 13x8 + 104x6 + 325x4 + 390x2 + 169 \( 2^{30}\cdot 13^{8} \) $C_2\times C_4^2:C_3:C_2$ (as 12T97) $[4]$
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