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Label Polynomial Discriminant Galois group Class group Regulator
12.0.85282689024.1 x12 + x10 - 4x9 + x8 - 4x7 + 6x6 - 4x5 + 5x4 - 4x3 + 4x2 - 2x + 1 $2^{12}\cdot 3^{6}\cdot 13^{4}$ $C_6\times S_3$ (as 12T18) trivial $11.0477502166$
12.0.110075314176.1 x12 - 4x11 + 8x10 - 12x9 + 13x8 - 8x7 + 4x5 - 2x4 + 1 $2^{24}\cdot 3^{8}$ $C_6\times S_3$ (as 12T18) trivial $8.96709342474$
12.0.114709561344.1 x12 + x10 - 6x8 - 3x6 + 14x4 - 7x2 + 1 $2^{16}\cdot 3^{6}\cdot 7^{4}$ $C_6\times S_3$ (as 12T18) trivial $14.8955560096$
12.0.139314069504.1 x12 - 2x11 + x10 - 2x9 + 3x8 + 2x7 - 6x5 + x4 + 4x3 - 2x2 + 1 $2^{18}\cdot 3^{12}$ $C_6\times S_3$ (as 12T18) trivial $9.21040313178$
12.0.153664000000.1 x12 + x10 - 4x9 + 4x8 - 6x7 + 12x6 - 12x5 + 12x4 - 16x3 + 14x2 - 6x + 1 $2^{12}\cdot 5^{6}\cdot 7^{4}$ $C_6\times S_3$ (as 12T18) trivial $5.58654010372$
12.0.389136420864.4 x12 + 5x10 + 8x8 + 3x6 - 3x4 - 2x2 + 1 $2^{12}\cdot 3^{6}\cdot 19^{4}$ $C_6\times S_3$ (as 12T18) trivial $28.426094453226167$
12.0.419904000000.1 x12 - 6x11 + 19x10 - 40x9 + 62x8 - 74x7 + 67x6 - 44x5 + 21x4 - 8x3 + 4x2 - 2x + 1 $2^{12}\cdot 3^{8}\cdot 5^{6}$ $C_6\times S_3$ (as 12T18) trivial $9.16575696339$
12.0.458838245376.1 x12 - 6x11 + 17x10 - 28x9 + 24x8 - 20x6 + 18x5 - 6x4 - 4x3 + 8x2 - 4x + 1 $2^{18}\cdot 3^{6}\cdot 7^{4}$ $C_6\times S_3$ (as 12T18) trivial $16.1633727166$
12.0.479174066176.4 x12 - 4x10 + 9x8 - 12x6 + 10x4 - 4x2 + 1 $2^{24}\cdot 13^{4}$ $C_6\times S_3$ (as 12T18) trivial $21.3861572475$
12.0.941480149401.1 x12 + x10 - 4x9 - 2x8 - 3x7 + 9x6 + 4x5 + 12x4 - 7x3 - 2x2 - x + 1 $3^{12}\cdot 11^{6}$ $C_6\times S_3$ (as 12T18) trivial $27.6923649209$
12.0.1075850221824.1 x12 - 4x11 + 3x10 + 4x9 - 6x7 - 17x6 + 30x5 + 6x4 - 34x3 + 25x2 - 8x + 1 $2^{8}\cdot 3^{6}\cdot 7^{8}$ $C_6\times S_3$ (as 12T18) trivial $34.1004536528$
12.0.1364523024384.1 x12 - 6x11 + 18x10 - 32x9 + 29x8 - 30x6 + 28x5 + x4 - 14x3 + 8x2 + 1 $2^{16}\cdot 3^{6}\cdot 13^{4}$ $C_6\times S_3$ (as 12T18) trivial $64.44491888451752$
12.0.1484437640625.1 x12 - 3x11 + 6x10 - 9x9 + 13x8 - 27x7 + 59x6 - 90x5 + 94x4 - 72x3 + 43x2 - 18x + 4 $3^{6}\cdot 5^{6}\cdot 19^{4}$ $C_6\times S_3$ (as 12T18) trivial $46.217209413645904$
12.0.1484437640625.2 x12 - x11 - 7x10 + 2x9 + 14x8 + 2x7 + 11x6 + 10x5 - 13x4 - 4x3 + 3x2 + 1 $3^{6}\cdot 5^{6}\cdot 19^{4}$ $C_6\times S_3$ (as 12T18) trivial $27.28365870679269$
12.0.1586874322944.3 x12 - 2x9 + 5x6 - 4x3 + 1 $2^{12}\cdot 3^{18}$ $C_6\times S_3$ (as 12T18) trivial $67.1236758169$
12.0.1827904000000.1 x12 - 3x10 - 8x9 + x8 + 24x7 + 14x6 - 8x5 + 5x4 + 8x3 - 4x2 - 2x + 1 $2^{12}\cdot 5^{6}\cdot 13^{4}$ $C_6\times S_3$ (as 12T18) trivial $18.262093981439413$
12.0.2186423566336.3 x12 - 7x8 - 4x7 - 4x5 + 10x4 + 16x3 + 8x2 + 12x + 9 $2^{24}\cdot 19^{4}$ $C_6\times S_3$ (as 12T18) trivial $52.5302311898$
12.0.3341233033216.1 x12 - 6x11 + 16x10 - 18x9 - 11x8 + 68x7 - 89x6 + 20x5 + 86x4 - 102x3 + 27x2 + 8x + 1 $2^{12}\cdot 13^{8}$ $C_6\times S_3$ (as 12T18) trivial $30.5801887371$
12.0.5596214759424.1 x12 - 2x10 + 9x8 - 9x6 + 20x4 - 7x2 + 1 $2^{12}\cdot 3^{6}\cdot 37^{4}$ $C_6\times S_3$ (as 12T18) trivial $123.785869620809$
12.0.5596214759424.2 x12 - 2x11 - 2x10 + 17x8 - 10x7 - 8x6 - 20x5 + 31x4 - 2x3 - 3x2 - 2x + 1 $2^{12}\cdot 3^{6}\cdot 37^{4}$ $C_6\times S_3$ (as 12T18) trivial $91.03461538825627$
12.0.6053445140625.2 x12 - x9 + 2x6 + x3 + 1 $3^{18}\cdot 5^{6}$ $C_6\times S_3$ (as 12T18) trivial $106.294858375$
12.0.7001316000000.2 x12 - 3x11 + 3x10 + 8x9 - 7x8 - 17x7 + 14x6 + 47x5 + 35x4 + 2x3 - 7x2 - x + 1 $2^{8}\cdot 3^{6}\cdot 5^{6}\cdot 7^{4}$ $C_6\times S_3$ (as 12T18) trivial $97.69001154462018$
12.0.7341411926016.1 x12 - 6x10 + 16x8 - 22x6 + 16x4 - 8x2 + 4 $2^{22}\cdot 3^{6}\cdot 7^{4}$ $C_6\times S_3$ (as 12T18) trivial $86.14899363665334$
12.0.7341411926016.2 x12 - 6x10 + 16x8 - 26x6 + 28x4 - 16x2 + 4 $2^{22}\cdot 3^{6}\cdot 7^{4}$ $C_6\times S_3$ (as 12T18) trivial $78.0394201828844$
12.0.8916100448256.2 x12 - 4x11 + 4x10 + 12x9 - 37x8 + 32x7 + 22x6 - 80x5 + 88x4 - 48x3 + 10x2 + 1 $2^{24}\cdot 3^{12}$ $C_6\times S_3$ (as 12T18) $[2]$ $20.761295793$
12.0.9834496000000.1 x12 - 2x11 - x10 - 2x9 + 9x8 + 2x7 - 4x6 - 8x5 + 2x4 + 8x3 + 7x2 - 2x + 1 $2^{18}\cdot 5^{6}\cdot 7^{4}$ $C_6\times S_3$ (as 12T18) trivial $32.887557010620306$
12.0.10519481390625.2 x12 - x11 + 2x10 + 7x9 - 11x8 + 16x7 + 15x6 - 38x5 + 67x4 - 39x3 + 16x2 - 5x + 1 $3^{6}\cdot 5^{6}\cdot 31^{4}$ $C_6\times S_3$ (as 12T18) trivial $78.05359391890256$
12.0.11177126654841.1 x12 - x11 + 8x10 - x9 + 23x8 + 2x7 + 41x6 - 14x5 + 8x4 - 40x3 - 48x2 + 64 $3^{6}\cdot 7^{6}\cdot 19^{4}$ $C_6\times S_3$ (as 12T18) trivial $58.233702693092496$
12.0.12060860765625.1 x12 + 6x10 - 3x9 + 3x8 - 9x7 - 9x6 + 9x5 + 3x4 + 3x3 + 6x2 + 1 $3^{8}\cdot 5^{6}\cdot 7^{6}$ $C_6\times S_3$ (as 12T18) trivial $42.05225160280841$
12.0.12381017456889.1 x12 - 2x11 + 5x10 - 11x9 + 18x8 - 43x7 + 54x6 - 60x5 + 172x4 - 261x3 + 191x2 - 106x + 43 $3^{6}\cdot 19^{8}$ $C_6\times S_3$ (as 12T18) trivial $74.2276877668$
12.0.13763268972544.2 x12 + 3x10 - 10x9 + 4x8 - 30x7 + 41x6 - 40x5 + 92x4 - 80x3 + 128x2 - 64x + 64 $2^{12}\cdot 7^{6}\cdot 13^{4}$ $C_6\times S_3$ (as 12T18) trivial $62.145765179685824$
12.0.17093056640625.2 x12 - 3x11 + 4x10 - 5x9 + 15x8 - 18x7 - 6x6 + 33x5 - 10x4 - 15x3 + 14x2 + 8x + 1 $3^{6}\cdot 5^{10}\cdot 7^{4}$ $C_6\times S_3$ (as 12T18) trivial $91.15100587250942$
12.0.21347865140625.1 x12 - 3x11 + 3x10 + 4x9 - 16x8 - 10x7 + 32x6 + 61x5 + 44x4 + 4x3 - 10x2 - 2x + 1 $3^{6}\cdot 5^{6}\cdot 37^{4}$ $C_6\times S_3$ (as 12T18) trivial $71.67111211927603$
12.0.24904730935296.2 x12 - 2x11 + 3x10 - 6x9 + 5x8 - 2x7 + 2x6 + 2x5 + 5x4 - 12x3 + 16x2 - 12x + 9 $2^{18}\cdot 3^{6}\cdot 19^{4}$ $C_6\times S_3$ (as 12T18) trivial $300.56279584783476$
12.0.24904730935296.3 x12 + 10x10 + 32x8 + 24x6 - 48x4 - 64x2 + 64 $2^{18}\cdot 3^{6}\cdot 19^{4}$ $C_6\times S_3$ (as 12T18) trivial $128.71140864739934$
12.0.24904730935296.4 x12 - 10x10 + 32x8 - 24x6 - 48x4 + 64x2 + 64 $2^{18}\cdot 3^{6}\cdot 19^{4}$ $C_6\times S_3$ (as 12T18) trivial $74.34391887043572$
12.0.25389989167104.5 x12 - 2x9 + 2x6 - 4x3 + 4 $2^{16}\cdot 3^{18}$ $C_6\times S_3$ (as 12T18) trivial $357.058513593$
12.0.26873856000000.1 x12 - 2x11 + 5x10 - 2x9 + 11x8 + 10x7 + 32x6 + 26x5 + 25x4 + 8x3 + 6x2 + 1 $2^{18}\cdot 3^{8}\cdot 5^{6}$ $C_6\times S_3$ (as 12T18) trivial $54.654739827257714$
12.0.27572864474169.1 x12 - 2x9 + 29x6 - 28x3 + 7 $3^{14}\cdot 7^{8}$ $C_6\times S_3$ (as 12T18) trivial $180.416018313$
12.0.29365647704064.1 x12 - 2x10 + x8 + 2x6 + 22x4 + 1 $2^{24}\cdot 3^{6}\cdot 7^{4}$ $C_6\times S_3$ (as 12T18) $[2]$ $107.78321771793813$
12.0.29365647704064.2 x12 - 4x11 + 10x10 - 16x9 + 20x8 - 20x7 + 18x6 - 20x5 + 7x4 + 4x3 + 4x2 - 4x + 1 $2^{24}\cdot 3^{6}\cdot 7^{4}$ $C_6\times S_3$ (as 12T18) $[2]$ $29.848139323999433$
12.0.31443203915776.1 x12 + 6x8 - 16x6 + 21x4 + 4x2 + 1 $2^{24}\cdot 37^{4}$ $C_6\times S_3$ (as 12T18) trivial $213.51678526536452$
12.0.34012224000000.2 x12 - 2x11 + 2x10 + 4x9 - 11x8 + 16x7 - 4x6 - 14x5 + 31x4 - 20x3 + 9x2 - 4x + 1 $2^{12}\cdot 3^{12}\cdot 5^{6}$ $C_6\times S_3$ (as 12T18) $[2]$ $158.3481109354468$
12.0.41343459692544.1 x12 - 2x11 - x10 + 6x9 - 3x8 - 4x7 - 10x6 + 14x5 + 23x4 - 64x3 + 84x2 - 60x + 25 $2^{12}\cdot 3^{6}\cdot 61^{4}$ $C_6\times S_3$ (as 12T18) trivial $312.3168359232439$
12.0.44121902874624.1 x12 - 6x11 + 18x10 - 32x9 + 44x8 - 64x7 + 104x6 - 116x5 + 68x4 - 8x3 + 8x2 - 8x + 4 $2^{16}\cdot 3^{6}\cdot 31^{4}$ $C_6\times S_3$ (as 12T18) trivial $471.20242897812045$
12.0.45579633110361.3 x12 - 3x9 + 2x6 + 3x3 + 1 $3^{18}\cdot 7^{6}$ $C_6\times S_3$ (as 12T18) trivial $299.205502115$
12.0.47038089498624.3 x12 - 13x6 + 49 $2^{12}\cdot 3^{14}\cdot 7^{4}$ $C_6\times S_3$ (as 12T18) trivial $272.5550622157524$
12.0.47608675209216.2 x12 + 2x10 + 7x8 + 8x6 + 11x4 - 5x2 + 1 $2^{12}\cdot 3^{8}\cdot 11^{6}$ $C_6\times S_3$ (as 12T18) trivial $275.14971313898474$
12.0.52502704515625.1 x12 - 3x11 + 7x10 - 11x9 + 16x8 - 10x7 + 23x6 + 10x5 + 16x4 + 11x3 + 7x2 + 3x + 1 $5^{6}\cdot 7^{6}\cdot 13^{4}$ $C_6\times S_3$ (as 12T18) trivial $65.5584674436965$
12.0.57357962838016.1 x12 - 4x11 + 8x10 - 4x9 - 6x8 + 20x7 - 24x6 + 28x5 + 9x4 - 40x3 + 32x2 - 32x + 16 $2^{24}\cdot 43^{4}$ $C_6\times S_3$ (as 12T18) trivial $1543.7983017050199$
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