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Results (displaying all 10 matches)

Label Polynomial Discriminant Galois group Class group
12.2.3312785542573367.1 x12 - x11 + 8x10 - 17x9 + 34x8 - 64x7 + 86x6 - 86x5 + 42x4 - 8x3 - 9x2 + 2x + 1 \( -\,7^{4}\cdot 23^{5}\cdot 463^{2} \) 12T254 Trivial
12.2.4051084127240192.1 x12 - 2x11 + 8x10 - 8x9 + 27x8 - 14x7 + 42x6 + 18x5 + 46x4 + 46x3 + 12x2 - 1 \( -\,2^{18}\cdot 7^{4}\cdot 23^{5} \) 12T254 Trivial
12.4.9253861191881728.1 x12 - 3x11 - 2x10 + 20x9 - 40x7 + 16x6 + 40x5 - 61x4 - 81x3 - 6x2 + 20x + 4 \( 2^{10}\cdot 19^{4}\cdot 37^{5} \) 12T254 Trivial
12.4.17986672243167589.1 x12 - 4x10 - 8x9 - 36x8 - 51x7 - 17x6 - 45x5 - 79x4 - 27x3 - 17x2 - 26x - 4 \( 13^{4}\cdot 229^{5} \) 12T254 Trivial
12.0.180026528033608704.1 x12 - 3x11 + 2x9 + 30x6 - 54x5 + 135x4 - 157x3 + 210x2 - 108x + 88 \( 2^{10}\cdot 3^{21}\cdot 7^{5} \) 12T254 Trivial
12.0.592247116280430592.1 x12 - 6x11 + 24x10 - 62x9 + 145x8 - 268x7 + 472x6 - 620x5 + 707x4 - 526x3 + 336x2 - 118x + 31 \( 2^{16}\cdot 19^{4}\cdot 37^{5} \) 12T254 Trivial
12.8.2368988465121722368.1 x12 - 2x11 - 10x10 + 22x9 + 37x8 - 138x7 - 20x6 + 362x5 + 31x4 - 384x3 - 178x2 + 16x + 13 \( 2^{18}\cdot 19^{4}\cdot 37^{5} \) 12T254 Trivial
12.8.8892960605398340608.1 x12 - 3x11 - 12x10 + 34x9 + 70x8 - 176x7 - 394x6 + 156x5 + 845x4 + 473x3 - 198x2 - 136x + 38 \( 2^{10}\cdot 19^{4}\cdot 31^{2}\cdot 37^{5} \) 12T254 Trivial
12.12.2425844188284643704832.1 x12 - 42x10 - 52x9 + 493x8 + 896x7 - 1796x6 - 3684x5 + 2715x4 + 5224x3 - 2618x2 - 2584x + 1373 \( 2^{28}\cdot 19^{4}\cdot 37^{5} \) 12T254 Trivial (GRH)
12.12.2949554635302645006336.1 x12 - 42x10 - 8x9 + 549x8 + 36x7 - 2940x6 - 108x5 + 6939x4 + 860x3 - 6570x2 - 1668x + 1187 \( 2^{24}\cdot 3^{21}\cdot 7^{5} \) 12T254 Trivial


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