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Degree Signature Class number Class group structure CM field
Ramified prime count Ramified Unramified primes Galois group Galois
Discriminant Root discriminant Galois root discriminant Regulator Intermediate field
$p$-adic completions Minimal sibling Monogenic Index Ines. \(p\)
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Results (38 matches)

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