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
23.11.110...432.1	$x^{23} - 7 x^{22} + 2 x^{21} + 88 x^{20} - 150 x^{19} - 422 x^{18} + 1148 x^{17} + 862 x^{16} - 4167 x^{15} - 105 x^{14} + 8563 x^{13} - 2935 x^{12} - 10393 x^{11} + 5920 x^{10} + 7285 x^{9} - 5405 x^{8} - 2661 x^{7} + 2503 x^{6} + 354 x^{5} - 537 x^{4} + 18 x^{3} + 39 x^{2} - 2 x - 1$	$23$	[11,6]	$2^{10}\cdot 22483\cdot 2527336563667297\cdot 19007452217635529293$	$4$	$67.2959220635$				✓	$S_{23}$ (as 23T7)	trivial	$2$	$16$	$11886760766000$
23.11.148...953.1	$x^{23} - 7 x^{22} + 2 x^{21} + 88 x^{20} - 150 x^{19} - 422 x^{18} + 1148 x^{17} + 862 x^{16} - 4167 x^{15} - 105 x^{14} + 8563 x^{13} - 2935 x^{12} - 10393 x^{11} + 5920 x^{10} + 7285 x^{9} - 5405 x^{8} - 2661 x^{7} + 2503 x^{6} + 354 x^{5} - 537 x^{4} + 21 x^{3} + 39 x^{2} - 2 x - 1$	$23$	[11,6]	$53\cdot 317\cdot 438479\cdot 20\!\cdots\!07$	$4$	$68.1694891784$	$1.219791088446639e+21$			✓	$S_{23}$ (as 23T7)	trivial	$2$	$16$	$5355593277510$