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Results (displaying all 4 matches)

Label Polynomial Discriminant Galois group Class group
20.0.428717762000000000000000.1 x20 - 3x19 + 2x18 + 6x17 - 14x16 + 7x15 + 10x14 - 12x13 - 11x12 + 14x11 + 30x10 - 56x9 + 16x8 + 38x7 + 8x6 - 106x5 + 111x4 - 25x3 - 40x2 + 25 \( 2^{16}\cdot 5^{15}\cdot 11^{8} \) $C_5:F_5$ (as 20T27) Trivial
20.0.2555356991291046142578125.1 x20 - 5x19 + 15x18 - 45x17 + 120x16 - 275x15 + 595x14 - 1160x13 + 2010x12 - 3225x11 + 4830x10 - 6490x9 + 7495x8 - 7250x7 + 5800x6 - 3800x5 + 2005x4 - 825x3 + 250x2 - 50x + 5 \( 5^{23}\cdot 11^{8} \) $C_5:F_5$ (as 20T27) Trivial
20.20.4669942026995164342224597930908203125.1 x20 - 5x19 - 75x18 + 515x17 + 1095x16 - 15246x15 + 20785x14 + 128000x13 - 442755x12 + 134935x11 + 1404121x10 - 2101065x9 - 301350x8 + 2772445x7 - 1487715x6 - 957916x5 + 1069270x4 - 110925x3 - 172410x2 + 65070x - 6759 \( 3^{10}\cdot 5^{31}\cdot 19^{8} \) $C_5:F_5$ (as 20T27) Trivial (GRH)
20.20.185632718133053856685340709503173828125.1 x20 - 6x19 - 83x18 + 486x17 + 2769x16 - 15396x15 - 49362x14 + 247119x13 + 530238x12 - 2205189x11 - 3537582x10 + 11214798x9 + 14146635x8 - 31935498x7 - 31272909x6 + 47209428x5 + 32146026x4 - 30429375x3 - 8641610x2 + 6935985x - 727355 \( 3^{16}\cdot 5^{15}\cdot 7^{10}\cdot 29^{8} \) $C_5:F_5$ (as 20T27) Trivial (GRH)


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