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Note: Search results may be incomplete due to uncomputed quantities: Class number (201181 objects)

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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 (6 matches)

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Label Polynomial Discriminant Galois group Class group Regulator
2.0.53482797368.1 $x^{2} + 13370699342$ $-\,2^{3}\cdot 7\cdot 11\cdot 13\cdot 17\cdot 19\cdot 23\cdot 29\cdot 31$ $C_2$ (as 2T1) $[2, 2, 2, 2, 2, 2, 4, 392]$ $1$
2.0.114605994360.1 $x^{2} + 28651498590$ $-\,2^{3}\cdot 3\cdot 5\cdot 11\cdot 13\cdot 17\cdot 19\cdot 23\cdot 29\cdot 31$ $C_2$ (as 2T1) $[2, 2, 2, 2, 2, 2, 2, 2, 446]$ $1$
2.0.160448392104.1 $x^{2} + 40112098026$ $-\,2^{3}\cdot 3\cdot 7\cdot 11\cdot 13\cdot 17\cdot 19\cdot 23\cdot 29\cdot 31$ $C_2$ (as 2T1) $[2, 2, 2, 2, 2, 2, 2, 2, 562]$ $1$
2.0.267413986840.1 $x^{2} + 66853496710$ $-\,2^{3}\cdot 5\cdot 7\cdot 11\cdot 13\cdot 17\cdot 19\cdot 23\cdot 29\cdot 31$ $C_2$ (as 2T1) $[2, 2, 2, 2, 2, 2, 2, 2, 498]$ $1$
2.0.401120980260.1 $x^{2} + 100280245065$ $-\,2^{2}\cdot 3\cdot 5\cdot 7\cdot 11\cdot 13\cdot 17\cdot 19\cdot 23\cdot 29\cdot 31$ $C_2$ (as 2T1) $[2, 2, 2, 2, 2, 2, 2, 2, 2, 378]$ $1$
2.0.802241960520.1 $x^{2} + 200560490130$ $-\,2^{3}\cdot 3\cdot 5\cdot 7\cdot 11\cdot 13\cdot 17\cdot 19\cdot 23\cdot 29\cdot 31$ $C_2$ (as 2T1) $[2, 2, 2, 2, 2, 2, 2, 2, 2, 516]$ $1$
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