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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 (9 matches)

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Label	Polynomial	Degree	Signature	Discriminant	Ram. prime count	Root discriminant	Galois root discriminant	CM field	Galois	Monogenic	Galois group	Class group	Unit group torsion	Unit group rank	Regulator
2.0.3.1	$x^{2} - x + 1$	$2$	[0,1]	$-\,3$	$1$	$1.73205080757$	$1.7320508075688772$	✓	✓	✓	$C_2$ (as 2T1)	trivial	$6$	0	$1$
2.0.4.1	$x^{2} + 1$	$2$	[0,1]	$-\,2^{2}$	$1$	$2.0$	$2.0$	✓	✓	✓	$C_2$ (as 2T1)	trivial	$4$	0	$1$
2.0.7.1	$x^{2} - x + 2$	$2$	[0,1]	$-\,7$	$1$	$2.64575131106$	$2.6457513110645907$	✓	✓	✓	$C_2$ (as 2T1)	trivial	$2$	0	$1$
2.0.8.1	$x^{2} + 2$	$2$	[0,1]	$-\,2^{3}$	$1$	$2.82842712475$	$2.8284271247461903$	✓	✓	✓	$C_2$ (as 2T1)	trivial	$2$	0	$1$
2.0.11.1	$x^{2} - x + 3$	$2$	[0,1]	$-\,11$	$1$	$3.31662479036$	$3.3166247903554$	✓	✓	✓	$C_2$ (as 2T1)	trivial	$2$	0	$1$
2.0.19.1	$x^{2} - x + 5$	$2$	[0,1]	$-\,19$	$1$	$4.35889894354$	$4.358898943540674$	✓	✓	✓	$C_2$ (as 2T1)	trivial	$2$	0	$1$
2.0.43.1	$x^{2} - x + 11$	$2$	[0,1]	$-\,43$	$1$	$6.5574385243$	$6.557438524302$	✓	✓	✓	$C_2$ (as 2T1)	trivial	$2$	0	$1$
2.0.67.1	$x^{2} - x + 17$	$2$	[0,1]	$-\,67$	$1$	$8.18535277187$	$8.18535277187245$	✓	✓	✓	$C_2$ (as 2T1)	trivial	$2$	0	$1$
2.0.163.1	$x^{2} - x + 41$	$2$	[0,1]	$-\,163$	$1$	$12.7671453348$	$12.767145334803704$	✓	✓	✓	$C_2$ (as 2T1)	trivial	$2$	0	$1$

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