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Label Polynomial Discriminant Galois group Class group
20.0.342...125.1 x20 - 5x19 - 20x18 + 120x17 + 220x16 - 1859x15 - 1355x14 + 26665x13 + 44790x12 - 52935x11 + 313441x10 + 2491990x9 + 5882110x8 + 12523855x7 + 39422120x6 + 98052526x5 + 177521795x4 + 287303870x3 + 382849660x2 + 310166920x + 105820496 \( 5^{27}\cdot 11^{16} \) $C_5:C_4$ (as 20T2) $[5, 5, 5]$ (GRH)
20.20.414...125.1 x20 - 90x18 - 165x17 + 2655x16 + 8844x15 - 23405x14 - 124135x13 + 25635x12 + 705485x11 + 462661x10 - 1893595x9 - 2174625x8 + 2297075x7 + 3851885x6 - 700216x5 - 2796615x4 - 556105x3 + 551050x2 + 127380x - 33329 \( 5^{27}\cdot 11^{18} \) $C_5:C_4$ (as 20T2) $[5]$ (GRH)
20.20.111...001.1 x20 - 3x19 - 119x18 + 177x17 + 5889x16 - 1381x15 - 152812x14 - 117981x13 + 2164979x12 + 3491841x11 - 15663089x10 - 38883595x9 + 42546574x8 + 187263905x7 + 52059719x6 - 314665312x5 - 318011368x4 + 4965810x3 + 106222904x2 + 21505161x - 6072119 \( 401^{15} \) $C_5:C_4$ (as 20T2) trivial (GRH)
20.0.658...049.1 x20 - 3x19 + 282x18 - 224x17 + 30751x16 + 31501x15 + 1741913x14 + 4226052x13 + 59459057x12 + 181083914x11 + 1332452796x10 + 3629444756x9 + 18834291180x8 + 40625770060x7 + 156097776357x6 + 265083906914x5 + 993121367567x4 + 784430792742x3 + 3703527579233x2 + 1482365904611x + 5214568583503 \( 3^{10}\cdot 401^{15} \) $C_5:C_4$ (as 20T2) $[2, 2, 2, 2, 2, 2, 2, 82, 5002]$ (GRH)
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