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
17.7.559...952.1	$x^{17} - x^{16} - 3 x^{15} + 2 x^{14} - 2 x^{13} + x^{12} + 9 x^{11} + 5 x^{10} + 4 x^{9} - 9 x^{8} - 16 x^{7} - 12 x^{6} - 2 x^{5} + 12 x^{4} + 13 x^{3} + 3 x^{2} - 2 x - 1$	$17$	[7,5]	$-\,2^{14}\cdot 30853\cdot 1417858217\cdot 781313923903$	$4$	$56.220239145$				✓	$S_{17}$ (as 17T10)	trivial	$2$	$11$	$706019732.849$
17.7.686...544.1	$x^{17} - 14 x^{15} - x^{14} + 76 x^{13} + 11 x^{12} - 207 x^{11} - 49 x^{10} + 312 x^{9} + 104 x^{8} - 281 x^{7} - 98 x^{6} + 156 x^{5} + 39 x^{4} - 50 x^{3} - 3 x^{2} + 7 x - 1$	$17$	[7,5]	$-\,2^{14}\cdot 487\cdot 19170871\cdot 61763909\cdot 72708437$	$5$	$56.9000138714$	$12950161673547.693$			✓	$S_{17}$ (as 17T10)	trivial	$2$	$11$	$1122395862.53$