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Degree Signature Class number Class group structure CM field
Ramified prime count Ramified Unramified primes Galois group Is Galois
Discriminant Root discriminant Regulator Intermediate field $p$-adic completions
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Results (38 matches)

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Label Polynomial Discriminant Galois group Class group Regulator
2.0.3.1 x2 - x + 1 $-\,3$ $C_2$ (as 2T1) trivial $1$
2.0.4.1 x2 + 1 $-\,2^{2}$ $C_2$ (as 2T1) trivial $1$
2.0.7.1 x2 - x + 2 $-\,7$ $C_2$ (as 2T1) trivial $1$
2.0.8.1 x2 + 2 $-\,2^{3}$ $C_2$ (as 2T1) trivial $1$
2.0.11.1 x2 - x + 3 $-\,11$ $C_2$ (as 2T1) trivial $1$
2.0.15.1 x2 - x + 4 $-\,3\cdot 5$ $C_2$ (as 2T1) $[2]$ $1$
2.0.19.1 x2 - x + 5 $-\,19$ $C_2$ (as 2T1) trivial $1$
2.0.20.1 x2 + 5 $-\,2^{2}\cdot 5$ $C_2$ (as 2T1) $[2]$ $1$
2.0.23.1 x2 - x + 6 $-\,23$ $C_2$ (as 2T1) $[3]$ $1$
2.0.24.1 x2 + 6 $-\,2^{3}\cdot 3$ $C_2$ (as 2T1) $[2]$ $1$
2.0.31.1 x2 - x + 8 $-\,31$ $C_2$ (as 2T1) $[3]$ $1$
2.0.35.1 x2 - x + 9 $-\,5\cdot 7$ $C_2$ (as 2T1) $[2]$ $1$
2.0.39.1 x2 - x + 10 $-\,3\cdot 13$ $C_2$ (as 2T1) $[4]$ $1$
2.0.40.1 x2 + 10 $-\,2^{3}\cdot 5$ $C_2$ (as 2T1) $[2]$ $1$
2.0.43.1 x2 - x + 11 $-\,43$ $C_2$ (as 2T1) trivial $1$
2.0.47.1 x2 - x + 12 $-\,47$ $C_2$ (as 2T1) $[5]$ $1$
2.0.51.1 x2 - x + 13 $-\,3\cdot 17$ $C_2$ (as 2T1) $[2]$ $1$
2.0.52.1 x2 + 13 $-\,2^{2}\cdot 13$ $C_2$ (as 2T1) $[2]$ $1$
2.0.55.1 x2 - x + 14 $-\,5\cdot 11$ $C_2$ (as 2T1) $[4]$ $1$
2.0.56.1 x2 + 14 $-\,2^{3}\cdot 7$ $C_2$ (as 2T1) $[4]$ $1$
2.0.59.1 x2 - x + 15 $-\,59$ $C_2$ (as 2T1) $[3]$ $1$
2.0.67.1 x2 - x + 17 $-\,67$ $C_2$ (as 2T1) trivial $1$
2.0.68.1 x2 + 17 $-\,2^{2}\cdot 17$ $C_2$ (as 2T1) $[4]$ $1$
2.0.71.1 x2 - x + 18 $-\,71$ $C_2$ (as 2T1) $[7]$ $1$
2.0.79.1 x2 - x + 20 $-\,79$ $C_2$ (as 2T1) $[5]$ $1$
2.0.83.1 x2 - x + 21 $-\,83$ $C_2$ (as 2T1) $[3]$ $1$
2.0.84.1 x2 + 21 $-\,2^{2}\cdot 3\cdot 7$ $C_2$ (as 2T1) $[2, 2]$ $1$
2.0.87.1 x2 - x + 22 $-\,3\cdot 29$ $C_2$ (as 2T1) $[6]$ $1$
2.0.88.1 x2 + 22 $-\,2^{3}\cdot 11$ $C_2$ (as 2T1) $[2]$ $1$
2.0.91.1 x2 - x + 23 $-\,7\cdot 13$ $C_2$ (as 2T1) $[2]$ $1$
2.0.95.1 x2 - x + 24 $-\,5\cdot 19$ $C_2$ (as 2T1) $[8]$ $1$
3.1.23.1 x3 - x2 + 1 $-\,23$ $S_3$ (as 3T2) trivial $0.281199574323$
3.1.31.1 x3 + x - 1 $-\,31$ $S_3$ (as 3T2) trivial $0.38224508584$
3.1.44.1 x3 - x2 + x + 1 $-\,2^{2}\cdot 11$ $S_3$ (as 3T2) trivial $0.609377863436$
3.1.59.1 x3 + 2x - 1 $-\,59$ $S_3$ (as 3T2) trivial $0.790985720639$
3.1.76.1 x3 - 2x - 2 $-\,2^{2}\cdot 19$ $S_3$ (as 3T2) trivial $1.01859181978$
3.1.83.1 x3 - x2 + x - 2 $-\,83$ $S_3$ (as 3T2) trivial $1.04069259944$
3.1.87.1 x3 - x2 + 2x + 1 $-\,3\cdot 29$ $S_3$ (as 3T2) trivial $0.934844845546$
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