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Label Polynomial Discriminant Galois group Class group Regulator
12.0.41223887921.1 x12 - 2x11 + 2x10 - x9 + 2x8 - 5x7 + 8x6 - 7x5 + 4x4 - 3x3 + 4x2 - 3x + 1 $37^{2}\cdot 41\cdot 857^{2}$ 12T293 trivial $1.16313281573$
12.0.41479432225.1 x12 - 4x11 + 8x10 - 11x9 + 12x8 - 9x7 + 3x6 + 2x5 - 3x4 + 2x3 - x + 1 $5^{2}\cdot 7^{2}\cdot 11^{2}\cdot 23^{4}$ $C_2^2\times C_2^2:S_4$ (as 12T139) trivial $1.16804069437$
12.0.42058512657.1 x12 + 2x10 - x9 + x8 - 5x7 + 6x6 - 10x5 + 13x4 - 10x3 + 7x2 - 4x + 1 $3^{6}\cdot 7^{2}\cdot 73\cdot 127^{2}$ 12T260 trivial $3.53470566706$
12.0.42194001221.1 x12 - 3x11 + 7x10 - 12x9 + 17x8 - 21x7 + 24x6 - 24x5 + 22x4 - 17x3 + 10x2 - 4x + 1 $41\cdot 1029121981$ $S_{12}$ (as 12T301) trivial $1.18014639216$
12.0.42553255797.1 x12 - x9 + 5x8 - 2x7 - x6 - 7x5 + 8x4 - 4x3 + 5x2 - 4x + 1 $3^{6}\cdot 13^{3}\cdot 163^{2}$ $C_3^4:D_4$ (as 12T167) trivial $3.5586949501$
12.0.42925852301.1 x12 - x11 - 2x10 + 3x9 + x8 - x7 - x6 - 2x5 + 3x4 + 2x3 - 2x2 - x + 1 $79\cdot 543365219$ $S_{12}$ (as 12T301) trivial $1.19267939797$
12.0.44223092609.1 x12 - x11 + x9 - 2x8 + x7 + 3x4 - x3 - 2x2 + 1 $89\cdot 22291^{2}$ 12T293 trivial $1.21605234252$
12.0.44533203125.1 x12 - 2x11 + 7x10 - 7x9 + 14x8 - 6x7 + 13x6 - 2x5 + 10x4 - 2x3 + 5x2 - x + 1 $5^{9}\cdot 151^{2}$ $C_3\times C_3^2:(C_3:C_4)$ (as 12T131) trivial $6.10223070288$
12.0.45425463296.1 x12 - 2x11 + 2x9 - 2x8 + 3x6 - 2x4 - 2x3 + 2x + 1 $2^{12}\cdot 89\cdot 353^{2}$ 12T260 trivial $2.47334952808$
12.0.45539379833.1 x12 - x11 - x9 + 3x8 - 2x7 + x6 - 2x5 + 3x4 - x3 - x + 1 $17\cdot 73^{2}\cdot 709^{2}$ 12T293 trivial $1.24111898861$
12.0.46060985097.1 x12 - 5x11 + 12x10 - 19x9 + 24x8 - 27x7 + 28x6 - 24x5 + 15x4 - 5x3 + x2 - x + 1 $3^{6}\cdot 337\cdot 433^{2}$ 12T260 trivial $3.73838590524$
12.0.46110822453.1 x12 - 2x11 + x10 + x9 + x8 - 5x7 + 6x6 - 4x5 + 4x4 - 5x3 + 5x2 - 3x + 1 $3^{6}\cdot 63252157$ $S_6\wr C_2$ (as 12T299) trivial $3.74818062756$
12.0.46574387721.1 x12 - x11 - x10 + x9 + 2x8 - 3x6 + 2x4 + x3 - x2 - x + 1 $3^{6}\cdot 7993^{2}$ $S_6\times C_2$ (as 12T219) trivial $3.77072282107$
12.0.46580196393.1 x12 - 3x10 - x9 + 5x8 + x7 - 7x6 - x5 + 8x4 + 2x3 - 4x2 - x + 1 $3^{6}\cdot 157\cdot 406981$ $S_6\wr C_2$ (as 12T299) trivial $3.77092097525$
12.0.46716936381.1 x12 - 4x11 + 9x10 - 15x9 + 23x8 - 33x7 + 44x6 - 50x5 + 45x4 - 29x3 + 13x2 - 4x + 1 $3^{6}\cdot 23^{4}\cdot 229$ 12T193 trivial $3.77207610108$
12.0.46779109213.1 x12 - 4x11 + 8x10 - 10x9 + 8x8 - 3x7 - 2x6 + 4x5 - 2x4 - x3 + 2x2 - x + 1 $31^{4}\cdot 37^{3}$ $C_4^2.(C_4\times S_3)$ (as 12T150) trivial $1.25722954293$
12.0.46911328256.1 x12 - 2x9 + 4x8 - 4x7 + x6 + 4x4 - 8x3 + 8x2 - 4x + 1 $2^{12}\cdot 13^{4}\cdot 401$ 12T208 trivial $2.52000020832$
12.0.47724987301.1 x12 - 3x11 + 7x10 - 11x9 + 16x8 - 19x7 + 20x6 - 18x5 + 15x4 - 11x3 + 6x2 - 3x + 1 $61\cdot 83^{2}\cdot 337^{2}$ 12T293 trivial $1.27712868376$
12.0.47738317081.1 x12 - 3x11 + x10 + 7x9 - 8x8 - 4x7 + 13x6 - 4x5 - 8x4 + 7x3 + x2 - 3x + 1 $7^{10}\cdot 13^{2}$ $C_2^2 \times A_4$ (as 12T25) trivial $8.9159604909$
12.0.48737056617.1 x12 - 2x11 + 5x10 - 10x9 + 16x8 - 22x7 + 30x6 - 31x5 + 28x4 - 27x3 + 19x2 - 7x + 1 $3^{9}\cdot 19^{5}$ $C_3\times C_3:D_4$ (as 12T42) trivial $3.8758756969$
12.0.50551744653.1 x12 - 4x11 + 11x10 - 21x9 + 32x8 - 40x7 + 45x6 - 46x5 + 40x4 - 26x3 + 12x2 - 4x + 1 $3^{6}\cdot 37^{5}$ $C_3\times C_3:D_4$ (as 12T42) trivial $3.95685086216$
12.0.51067940737.1 x12 - 3x11 + 6x10 - 10x9 + 15x8 - 18x7 + 20x6 - 19x5 + 16x4 - 12x3 + 7x2 - 3x + 1 $11^{2}\cdot 31^{4}\cdot 457$ 12T250 trivial $1.32924669226$
12.0.51514924901.1 x12 - 2x11 - x10 + 2x9 + 4x8 - x7 - 7x6 + x5 + 4x4 - 2x3 - x2 + 2x + 1 $11^{2}\cdot 31^{4}\cdot 461$ 12T250 trivial $1.33838343414$
12.0.53440955929.1 x12 - x11 + x10 - 3x9 + 4x8 - 2x7 + x6 - 2x5 + 4x4 - 3x3 + x2 - x + 1 $19^{2}\cdot 23^{6}$ $C_2\times S_4$ (as 12T21) trivial $1.36801263468$
12.0.54507773961.1 x12 - x11 - 2x10 + 5x9 - x8 - 4x7 + 5x6 - 4x5 - x4 + 5x3 - 2x2 - x + 1 $3^{6}\cdot 8647^{2}$ $S_6\times C_2$ (as 12T219) trivial $4.14786100391$
12.0.55358453125.1 x12 - 4x11 + 11x10 - 22x9 + 35x8 - 45x7 + 49x6 - 44x5 + 33x4 - 21x3 + 11x2 - 4x + 1 $5^{6}\cdot 61\cdot 241^{2}$ 12T260 trivial $1.40064596697$
12.0.56689952000.1 x12 - 5x11 + 13x10 - 25x9 + 39x8 - 50x7 + 53x6 - 48x5 + 37x4 - 23x3 + 12x2 - 4x + 1 $2^{8}\cdot 5^{3}\cdot 11^{6}$ $(C_6\times C_2):C_2$ (as 12T15) trivial $1.4199505274$
12.0.58300115053.1 x12 - x11 + 4x10 - 4x9 + 9x8 - 6x7 + 11x6 - 6x5 + 8x4 - 3x3 + 4x2 - x + 1 $23^{4}\cdot 208333$ 12T294 trivial $1.44906493339$
12.0.59081901957.1 x12 - 3x11 + 5x10 - 6x9 + 5x8 - 2x7 - x6 + 4x5 - 4x4 + 2x3 - x + 1 $3^{6}\cdot 13^{3}\cdot 37\cdot 997$ 12T274 trivial $4.38856707636$
12.0.59182215273.1 x12 - 5x11 + 14x10 - 31x9 + 53x8 - 72x7 + 81x6 - 72x5 + 53x4 - 31x3 + 14x2 - 5x + 1 $3^{6}\cdot 433^{3}$ $S_3\wr C_2$ (as 12T35) trivial $4.35580546019$
12.0.59767578125.1 x12 - 5x11 + 13x10 - 21x9 + 24x8 - 21x7 + 18x6 - 17x5 + 15x4 - 9x3 + 4x2 - 2x + 1 $5^{9}\cdot 71\cdot 431$ 12T264 trivial $7.40729189233$
12.0.60454515625.1 x12 - x11 - 2x10 + 2x9 + 4x8 - 3x7 - 5x6 + 3x5 + 5x4 - x3 - 3x2 + 1 $5^{6}\cdot 7^{2}\cdot 281^{2}$ 12T236 trivial $1.47630310859$
12.0.63518590021.1 x12 - 2x11 + 3x10 - 2x9 + 2x8 - 4x7 + 4x6 - 2x5 - x4 + 2x2 - x + 1 $23^{4}\cdot 61^{3}$ $C_4^2.(C_4\times S_3)$ (as 12T150) trivial $1.51948050623$
12.0.63568613376.1 x12 - 4x11 + 9x10 - 14x9 + 16x8 - 14x7 + 10x6 - 6x5 + 6x4 - 6x3 + 6x2 - 4x + 1 $2^{12}\cdot 3^{6}\cdot 61\cdot 349$ 12T261 trivial $9.18542221354$
12.0.63853279857.1 x12 - 4x11 + 9x10 - 13x9 + 17x8 - 21x7 + 25x6 - 27x5 + 26x4 - 20x3 + 12x2 - 5x + 1 $3^{6}\cdot 23^{4}\cdot 313$ 12T193 trivial $4.5780204292$
12.0.63995902381.1 x12 - x11 + 2x9 - x8 - 4x7 + 5x6 - x5 - x4 - x3 + 4x2 - 3x + 1 $73^{2}\cdot 229^{3}$ $C_3^3.(C_3\times S_4)$ (as 12T231) trivial $1.54183330651$
12.0.66468114161.1 x12 - x11 - 2x10 + 4x9 + x8 - 5x7 + x6 + 5x5 + x4 - 4x3 - 2x2 + x + 1 $23^{6}\cdot 449$ $C_2^4:C_3.D_4$ (as 12T135) trivial $1.56137956029$
12.0.66699927001.1 x12 - x9 + x7 - x4 - x3 + x + 1 $47\cdot 1117\cdot 1270499$ $S_{12}$ (as 12T301) trivial $1.58972306672$
12.0.67030763409.1 x12 - x11 - 2x10 + 6x8 - x7 - 5x6 - x5 + 6x4 - 2x2 - x + 1 $3^{6}\cdot 43^{2}\cdot 223^{2}$ $S_6\times C_2$ (as 12T219) trivial $4.81968495903$
12.0.69637938597.1 x12 - 2x11 + 3x10 - 2x9 + 4x6 - 11x5 + 17x4 - 16x3 + 11x2 - 5x + 1 $3^{6}\cdot 19^{4}\cdot 733$ 12T208 trivial $4.89240598709$
12.0.70127513856.1 x12 + x10 - 3x8 - 3x6 + 2x4 + 2x2 + 1 $2^{8}\cdot 3^{6}\cdot 613^{2}$ 12T236 trivial $4.86613553287$
12.0.70516271401.1 x12 - 3x11 + 4x10 - x9 - 3x8 + 4x7 - 3x6 + 4x5 - 3x4 - x3 + 4x2 - 3x + 1 $37^{2}\cdot 7177^{2}$ 12T285 trivial $1.65463443861$
12.0.71939651121.1 x12 - x11 - 3x10 + x9 + 5x8 + 3x7 - 3x6 - 7x5 - 2x4 + 3x3 + 2x2 + x + 1 $3^{6}\cdot 13^{3}\cdot 44917$ 12T274 trivial $4.93206182745$
12.0.72509192309.1 x12 - x10 - x9 + x7 + x6 + x5 - 2x3 - x2 + x + 1 $72509192309$ $S_{12}$ (as 12T301) trivial $1.66307418431$
12.0.73358639104.1 x12 - 2x11 + 2x10 - 2x9 + 6x8 - 10x7 + 10x6 - 12x5 + 17x4 - 14x3 + 8x2 - 4x + 1 $2^{18}\cdot 23^{4}$ $C_2 \times S_4$ (as 12T23) trivial $3.42242551816$
12.0.73645476129.1 x12 - x11 - x10 + 2x9 - 2x7 + 3x5 - 2x4 + 2x2 - 2x + 1 $3^{6}\cdot 19^{2}\cdot 23^{4}$ $C_2^2\times S_4$ (as 12T48) trivial $4.99030501888$
12.0.74733890625.1 x12 - 6x11 + 21x10 - 50x9 + 93x8 - 138x7 + 164x6 - 153x5 + 111x4 - 61x3 + 24x2 - 6x + 1 $3^{14}\cdot 5^{6}$ $D_6$ (as 12T3) trivial $5.15894342496$
12.0.74880094208.1 x12 - 2x11 + 2x10 - 2x9 + 5x8 - 10x7 + 14x6 - 16x5 + 17x4 - 14x3 + 9x2 - 4x + 1 $2^{12}\cdot 17^{3}\cdot 61^{2}$ $C_3^4:D_4$ (as 12T167) trivial $3.38131432466$
12.0.74948100349.1 x12 - x11 - x10 + 2x9 + 2x8 - 5x7 + 3x6 + 2x4 - 6x3 + 7x2 - 4x + 1 $79^{2}\cdot 229^{3}$ $C_3^3.(C_3\times S_4)$ (as 12T231) trivial $1.67713762237$
12.0.75794375168.1 x12 - 4x11 + 9x10 - 12x9 + 14x8 - 19x7 + 30x6 - 39x5 + 37x4 - 26x3 + 14x2 - 5x + 1 $2^{9}\cdot 23^{6}$ $(C_6\times C_2):C_2$ (as 12T15) trivial $1.74341488875$
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