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Label Polynomial Discriminant Galois group Class group
17.1.544...000.1 x17 - 5x16 + 40x15 - 140x14 + 610x13 - 1622x12 + 4870x11 - 10220x10 + 22720x9 - 38080x8 + 63500x7 - 84100x6 + 102200x5 - 102400x4 + 83000x3 - 55864x2 + 24080x - 9400 \( 2^{16}\cdot 3^{20}\cdot 5^{22} \) $\PSL(2,16):C_4$ (as 17T8) trivial (GRH)
17.1.205...000.1 x17 - 5x16 + 40x15 - 140x14 + 610x13 - 1622x12 + 4870x11 - 10220x10 + 22720x9 - 38080x8 + 63500x7 - 84100x6 + 102200x5 - 102400x4 + 83000x3 - 55288x2 + 23360x - 5800 \( 2^{16}\cdot 3^{30}\cdot 5^{16} \) $\PSL(2,16):C_4$ (as 17T8) trivial (GRH)
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