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Label Polynomial Discriminant Galois group Class group
20.4.493...664.2 x20 - 2x19 + 14x17 - 36x16 - 24x15 + 76x14 - 174x13 - 197x12 + 210x11 + 34x10 - 176x9 + 19x8 - 58x7 - 100x6 + 16x5 + 13x4 - 2x3 + 10x2 + 4x - 1 \( 2^{30}\cdot 11^{16} \) $C_2^4:C_5$ (as 20T23) trivial (GRH)
20.4.359...241.1 x20 - 4x19 + 3x18 - 21x17 + 27x16 - 77x15 + 60x14 - 106x13 + 71x12 - 162x11 + 205x10 - 413x9 + 548x8 - 703x7 + 696x6 - 572x5 + 386x4 - 205x3 + 86x2 - 20x + 1 \( 11^{16}\cdot 23^{8} \) $C_2^4:C_5$ (as 20T23) $[2]$
20.20.386...584.1 x20 - 90x18 + 3201x16 - 57910x14 + 572604x12 - 3106616x10 + 8975251x8 - 13405134x6 + 10063119x4 - 3369434x2 + 326041 \( 2^{30}\cdot 11^{16}\cdot 23^{8} \) $C_2^4:C_5$ (as 20T23) trivial (GRH)
20.20.144...000.1 x20 - 10x19 - 20x18 + 390x17 - 300x16 - 5210x15 + 9890x14 + 26870x13 - 82520x12 - 22800x11 + 257912x10 - 177160x9 - 222825x8 + 304530x7 - 17950x6 - 112348x5 + 38430x4 + 6000x3 - 3100x2 + 250x - 5 \( 2^{30}\cdot 5^{32}\cdot 7^{8} \) $C_2^4:C_5$ (as 20T23) trivial (GRH)
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