Number field search results

Note: Search results may be incomplete due to uncomputed quantities: Class number (201181 objects)

Results (8 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
11.7.610429790897.1	$x^{11} - x^{10} - 4 x^{9} + x^{8} + 5 x^{7} + 7 x^{6} - 7 x^{5} - 5 x^{4} + 7 x^{3} - 3 x^{2} - x + 1$	$11$	[7,2]	$610429790897$	$1$	$11.7874924921$	$781300.0645699449$			?	$S_{11}$ (as 11T8)	trivial	$2$	$8$	$49.9574794147$
11.7.808524990121.1	$x^{11} - 2 x^{10} - x^{9} + 4 x^{8} - x^{7} - 5 x^{6} - x^{5} + 8 x^{4} + 3 x^{3} - 5 x^{2} - x + 1$	$11$	[7,2]	$43\cdot 547\cdot 34374601$	$3$	$12.0925414904$	$899180.1766726177$			✓	$S_{11}$ (as 11T8)	trivial	$2$	$8$	$59.1581764769$
11.7.835929782249.1	$x^{11} - x^{10} - x^{9} - 3 x^{7} + 4 x^{6} + 2 x^{5} + x^{4} + 4 x^{3} - 6 x^{2} - 3 x + 1$	$11$	[7,2]	$56509\cdot 14792861$	$2$	$12.1292407976$	$914291.956788968$			✓	$S_{11}$ (as 11T8)	trivial	$2$	$8$	$60.09604192925153$
11.7.1135258109569.1	$x^{11} - 2 x^{10} - x^{9} + 5 x^{8} - 3 x^{7} - 2 x^{6} - 3 x^{5} + 3 x^{4} + 11 x^{3} - 5 x^{2} - 4 x + 1$	$11$	[7,2]	$71\cdot 73\cdot 219034943$	$3$	$12.4714713129$	$1065484.9175699297$			?	$S_{11}$ (as 11T8)	trivial	$2$	$8$	$72.38649544528622$
11.7.1619043113033.1	$x^{11} - x^{10} - x^{9} + x^{8} + 3 x^{6} - 7 x^{5} - 7 x^{4} + 8 x^{3} + 5 x^{2} - 2 x - 1$	$11$	[7,2]	$1619043113033$	$1$	$12.8804958805$	$1272416.2499092033$			?	$S_{11}$ (as 11T8)	trivial	$2$	$8$	$91.94897355015553$
11.7.1792166448977.1	$x^{11} - x^{10} - x^{9} + x^{8} - 3 x^{7} - 5 x^{6} + 11 x^{5} + 11 x^{4} - 9 x^{3} - 8 x^{2} + x + 1$	$11$	[7,2]	$1792166448977$	$1$	$13.0000039928$	$1338718.2111919594$			✓	$S_{11}$ (as 11T8)	trivial	$2$	$8$	$98.96130237811647$
11.7.2308712232653.1	$x^{11} - 2 x^{10} - x^{9} + 3 x^{8} - 3 x^{7} + 4 x^{6} + x^{5} - 6 x^{4} + 6 x^{3} + 2 x^{2} - 3 x - 1$	$11$	[7,2]	$349\cdot 6615221297$	$2$	$13.3027892087$	$1519444.7119434783$			✓	$S_{11}$ (as 11T8)	trivial	$2$	$8$	$116.6813224133741$
11.7.630...384.1	$x^{11} - 3 x^{10} - 36 x^{9} + 60 x^{8} + 213 x^{7} - 9 x^{6} - 114 x^{5} - 180 x^{4} - 108 x^{3} + 6 x^{2} + 36 x + 54$	$11$	[7,2]	$2^{12}\cdot 3^{14}\cdot 7^{2}\cdot 23^{2}\cdot 137^{8}$	$5$	$777.788029448$	$12681.160459728126$				$A_{11}$ (as 11T7)	trivial	$2$	$8$	$21261383857900$