Number field search results

Results (displaying both matches)

 

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
23.9.955...636.1	$x^{23} - x^{22} - 4 x^{21} - 3 x^{20} + 10 x^{19} + 17 x^{18} - 2 x^{17} - 26 x^{16} - 21 x^{15} + 15 x^{14} + 19 x^{13} - 7 x^{12} - 18 x^{11} + 15 x^{10} + 35 x^{9} - 33 x^{7} - 24 x^{6} + 12 x^{5} + 16 x^{4} + 3 x^{3} - 5 x^{2} - 2 x + 1$	$23$	[9,7]	$-\,2^{2}\cdot 19\cdot 432841815513398891\cdot 290448827022730856621$	$4$	$54.7356280457$	$9.774762512599196e+19$			✓	$S_{23}$ (as 23T7)	trivial	$2$	$15$	$973481536934$
23.9.300...043.1	$x^{23} - 2 x^{22} - 4 x^{21} + 6 x^{20} + 10 x^{19} - 7 x^{18} - 14 x^{17} + 11 x^{16} + 12 x^{15} - 31 x^{14} - 36 x^{13} + 41 x^{12} + 89 x^{11} + 5 x^{10} - 105 x^{9} - 65 x^{8} + 56 x^{7} + 68 x^{6} - 7 x^{5} - 34 x^{4} - 4 x^{3} + 9 x^{2} + x - 1$	$23$	[9,7]	$-\,508621\cdot 158113511\cdot 1092887040821\cdot 341802543194293$	$4$	$57.5308249537$	$1.7332328753273392e+20$			✓	$S_{23}$ (as 23T7)	trivial	$2$	$15$	$394956948058$