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
17.15.266...248.1	$x^{17} - 3 x^{16} - 12 x^{15} + 38 x^{14} + 57 x^{13} - 190 x^{12} - 136 x^{11} + 476 x^{10} + 169 x^{9} - 630 x^{8} - 101 x^{7} + 433 x^{6} + 24 x^{5} - 146 x^{4} - 2 x^{3} + 21 x^{2} - 1$	$17$	[15,1]	$-\,2^{3}\cdot 332663926322744609459470031$	$2$	$41.0431725363$				✓	$S_{17}$ (as 17T10)	trivial	$2$	$15$	$218458644.371$
17.15.393...332.1	$x^{17} - 3 x^{16} - 13 x^{15} + 41 x^{14} + 67 x^{13} - 222 x^{12} - 175 x^{11} + 605 x^{10} + 247 x^{9} - 872 x^{8} - 187 x^{7} + 640 x^{6} + 68 x^{5} - 210 x^{4} - 6 x^{3} + 26 x^{2} - 1$	$17$	[15,1]	$-\,2^{2}\cdot 23\cdot 47\cdot 1443727\cdot 6300992077700317559$	$5$	$48.089013115$	$198330656156836.97$			✓	$S_{17}$ (as 17T10)	trivial	$2$	$15$	$1367665506.96$