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Label Polynomial Discriminant Galois group Class group
19.1.714...419.1 x19 + 19x15 - 19x14 - 19x13 + 171x12 + 19x11 - 266x10 + 19x9 + 475x8 + 741x7 + 437x6 + 38x5 - 38x4 - 19x3 + 1 \( -\,19^{21} \) $C_{19}:C_{6}$ (as 19T4) trivial
19.1.158...459.1 x19 - 171x16 - 950x15 + 570x14 + 8683x13 + 45277x12 + 196973x11 + 941507x10 + 5016304x9 + 7072465x8 - 53817785x7 - 342335673x6 - 1023131209x5 - 1426640821x4 + 157805450x3 + 1883060322x2 - 656755330x - 2423978601 \( -\,19^{33} \) $C_{19}:C_{6}$ (as 19T4) trivial (GRH)
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