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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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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
23.13.425...343.1	$x^{23} - 7 x^{22} + 2 x^{21} + 88 x^{20} - 150 x^{19} - 422 x^{18} + 1148 x^{17} + 862 x^{16} - 4167 x^{15} - 105 x^{14} + 8563 x^{13} - 2935 x^{12} - 10393 x^{11} + 5920 x^{10} + 7285 x^{9} - 5405 x^{8} - 2661 x^{7} + 2503 x^{6} + 356 x^{5} - 537 x^{4} + 19 x^{3} + 39 x^{2} - 2 x - 1$	$23$	[13,5]	$-\,13\cdot 1289\cdot 4057217\cdot 26391289\cdot 32505503\cdot 7288751994309941$	$6$	$64.5556967352$	$6.519999859779894e+20$			✓	$S_{23}$ (as 23T7)	trivial	$2$	$17$	$4090939159600$
23.13.291...844.1	$x^{23} - 7 x^{22} + 2 x^{21} + 88 x^{20} - 150 x^{19} - 422 x^{18} + 1148 x^{17} + 862 x^{16} - 4167 x^{15} - 105 x^{14} + 8563 x^{13} - 2935 x^{12} - 10393 x^{11} + 5920 x^{10} + 7285 x^{9} - 5405 x^{8} - 2661 x^{7} + 2503 x^{6} + 354 x^{5} - 537 x^{4} + 19 x^{3} + 39 x^{2} - 3 x - 1$	$23$	[13,5]	$-\,2^{2}\cdot 773\cdot 2479717146827\cdot 380221505923121334124604891$	$4$	$70.19244352$				✓	$S_{23}$ (as 23T7)	trivial	$2$	$17$	$21282525078200$

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