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Label Polynomial Discriminant Galois group Class group
30.0.457...771.1 x30 + 6x28 - x27 + 14x26 - x25 + 8x24 + 13x23 - 39x22 + 37x21 - 93x20 + 30x19 + 10x18 - 13x17 + 349x16 + 77x15 + 721x14 + 575x13 + 1026x12 + 1233x11 + 1137x10 + 993x9 + 501x8 - 41x7 - 253x6 - 186x5 - 58x4 + 6x3 + 14x2 + 6x + 1 \( -\,3^{20}\cdot 11^{27} \) $C_{15}\times S_3$ (as 30T15) trivial (GRH)
30.0.107...171.1 x30 - x29 - 4x28 + 2x27 + 14x26 - 18x25 - 22x24 + 80x23 + 2x22 - 292x21 + 107x20 + 966x19 - 524x18 - 1689x17 + 1837x16 + 1003x15 - 6747x14 + 4493x13 + 13850x12 - 15662x11 - 11779x10 + 28372x9 - 4752x8 - 31522x7 + 29972x6 + 5164x5 - 25670x4 + 15150x3 + 3000x2 - 8125x + 3125 \( -\,11^{27}\cdot 31^{10} \) $C_{15}\times S_3$ (as 30T15) trivial (GRH)
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