Global number field search results

Further refine search

Degree	Signature	Galois group	Class number	Class group
Regulator	Num. ramified primes	Ramified primes		Unramified primes
CM field	Discriminant		Root discriminant

Results (displaying matches 1-50 of 244008)

Label	Polynomial	Discriminant	Galois group	Class group
6.2.33856.1	x^6 + x^4 - 1	\( 2^{6}\cdot 23^{2} \)	$S_4$ (as 6T7)	Trivial
6.2.52441.1	x^6 - x^4 - x^3 - x^2 + 1	\( 229^{2} \)	$S_4$ (as 6T7)	Trivial
6.2.61504.1	x^6 + x^2 - 1	\( 2^{6}\cdot 31^{2} \)	$S_4$ (as 6T7)	Trivial
6.2.66049.1	x^6 - x^5 - x^4 + x^3 - x^2 - x + 1	\( 257^{2} \)	$S_4$ (as 6T7)	Trivial
6.2.80089.1	x^6 + x^4 - x^3 - x^2 - 1	\( 283^{2} \)	$S_4$ (as 6T7)	Trivial
6.2.87616.1	x^6 - x^4 - 2x^3 - x^2 + 1	\( 2^{6}\cdot 37^{2} \)	$S_4$ (as 6T7)	Trivial
6.2.109561.1	x^6 - x^5 - 2x^3 - x - 1	\( 331^{2} \)	$S_4$ (as 6T7)	Trivial
6.2.110224.1	x^6 + 2x^4 + 2x^2 - 1	\( 2^{4}\cdot 83^{2} \)	$S_4$ (as 6T7)	Trivial
6.2.116281.1	x^6 - 2x^5 + 6x^3 - 7x^2 + 2x - 1	\( 11^{2}\cdot 31^{2} \)	$S_4$ (as 6T7)	Trivial
6.2.118336.1	x^6 - 2x^5 + 3x^4 - 6x^3 + 3x^2 - 2x + 1	\( 2^{6}\cdot 43^{2} \)	$S_4$ (as 6T7)	Trivial
6.2.123904.1	x^6 + x^4 + x^2 - 1	\( 2^{10}\cdot 11^{2} \)	$S_4$ (as 6T7)	Trivial
6.2.179776.1	x^6 - x^5 + x^4 - x^2 - x - 1	\( 2^{6}\cdot 53^{2} \)	$S_4$ (as 6T7)	Trivial
6.2.190969.1	x^6 - 2x^5 + 3x^4 - 2x^3 - 10x - 1	\( 19^{2}\cdot 23^{2} \)	$S_4$ (as 6T7)	Trivial
6.2.207936.1	x^6 - 2x^5 + x^4 + 2x^3 - x^2 - 2x - 1	\( 2^{6}\cdot 3^{2}\cdot 19^{2} \)	$S_4$ (as 6T7)	Trivial
6.2.215296.1	x^6 - x^5 - 3x^4 + 2x^3 - 2x + 2	\( 2^{8}\cdot 29^{2} \)	$S_4$ (as 6T7)	Trivial
6.2.222784.1	x^6 + 2x^2 - 1	\( 2^{6}\cdot 59^{2} \)	$S_4$ (as 6T7)	Trivial
6.2.222784.2	x^6 + x^4 - 2x^2 - 4	\( 2^{6}\cdot 59^{2} \)	$S_4$ (as 6T7)	Trivial
6.2.238144.1	x^6 - x^5 - x^4 + 4x^3 - x^2 - x + 1	\( 2^{6}\cdot 61^{2} \)	$S_4$ (as 6T7)	Trivial
6.2.241081.1	x^6 + x^4 + x^2 - 4	\( 491^{2} \)	$S_4$ (as 6T7)	Trivial
6.2.316969.1	x^6 - x^5 + 2x^4 - 2x^3 - 2x^2 - x - 1	\( 563^{2} \)	$S_4$ (as 6T7)	Trivial
6.2.356409.1	x^6 - x^5 + x^4 + x^3 - x^2 - x - 1	\( 3^{2}\cdot 199^{2} \)	$S_4$ (as 6T7)	Trivial
6.2.369664.1	x^6 - x^4 + 3x^2 - 1	\( 2^{10}\cdot 19^{2} \)	$S_4$ (as 6T7)	Trivial
6.2.379456.1	x^6 - 2x^5 + 3x^4 - 8x^3 + 9x^2 - 4x - 1	\( 2^{6}\cdot 7^{2}\cdot 11^{2} \)	$S_4$ (as 6T7)	Trivial
6.2.399424.1	x^6 - x^5 - x^4 - x^2 - x + 1	\( 2^{6}\cdot 79^{2} \)	$S_4$ (as 6T7)	Trivial
6.2.413449.1	x^6 + x^4 - 5x^3 + x^2 + 1	\( 643^{2} \)	$S_4$ (as 6T7)	Trivial
6.2.484416.1	x^6 + x^4 + 2x^2 - 1	\( 2^{6}\cdot 3^{2}\cdot 29^{2} \)	$S_4$ (as 6T7)	Trivial
6.2.485809.1	x^6 - 3x^5 - x^4 + 5x^3 - x^2 - 3x + 1	\( 17^{2}\cdot 41^{2} \)	$S_4$ (as 6T7)	Trivial
6.2.506944.1	x^6 - x^5 + x^4 - 6x^3 - x^2 - x - 1	\( 2^{6}\cdot 89^{2} \)	$S_4$ (as 6T7)	Trivial
6.2.514089.1	x^6 - 2x^5 + x^4 - 4x^2 + 3	\( 3^{2}\cdot 239^{2} \)	$S_4$ (as 6T7)	Trivial
6.2.529984.1	x^6 + x^4 - 2x^3 - x^2 - 1	\( 2^{6}\cdot 7^{2}\cdot 13^{2} \)	$S_4$ (as 6T7)	Trivial
6.2.534361.1	x^6 - 2x^5 + x^4 - 3x^3 - x^2 - 2x - 1	\( 17^{2}\cdot 43^{2} \)	$S_4$ (as 6T7)	Trivial
6.2.547600.1	x^6 - 3x^5 + x^4 + 3x^3 - 4	\( 2^{4}\cdot 5^{2}\cdot 37^{2} \)	$S_4$ (as 6T7)	Trivial
6.2.553536.1	x^6 - 4x^4 + 9x^2 - 9	\( 2^{6}\cdot 3^{2}\cdot 31^{2} \)	$S_4$ (as 6T7)	Trivial
6.2.553536.2	x^6 + x^4 - 6x^2 - 9	\( 2^{6}\cdot 3^{2}\cdot 31^{2} \)	$S_4$ (as 6T7)	Trivial
6.2.561001.1	x^6 - 2x^5 + x^4 + 3x^3 - x^2 - 2x - 1	\( 7^{2}\cdot 107^{2} \)	$S_4$ (as 6T7)	Trivial
6.2.564001.1	x^6 - x^4 + 6x^2 - 1	\( 751^{2} \)	$S_4$ (as 6T7)	Trivial
6.2.579121.1	x^6 - x^4 - 6x^2 - 1	\( 761^{2} \)	$S_4$ (as 6T7)	Trivial
6.2.620944.1	x^6 - 2x^5 + 2x^3 - 8x + 8	\( 2^{4}\cdot 197^{2} \)	$S_4$ (as 6T7)	Trivial
6.2.646416.1	x^6 - 2x^5 + 4x^4 - 10x^3 + 8x^2 - 8x + 8	\( 2^{4}\cdot 3^{2}\cdot 67^{2} \)	$S_4$ (as 6T7)	Trivial
6.2.648025.1	x^6 - x^5 - 3x^4 + 9x^3 + 7x^2 - 21x - 19	\( 5^{2}\cdot 7^{2}\cdot 23^{2} \)	$S_4$ (as 6T7)	Trivial
6.2.652864.1	x^6 - 2x^5 - x^4 + 2x^3 - x^2 - 2x + 1	\( 2^{6}\cdot 101^{2} \)	$S_4$ (as 6T7)	Trivial
6.2.692224.1	x^6 - x^4 + 5x^2 - 1	\( 2^{12}\cdot 13^{2} \)	$S_4$ (as 6T7)	Trivial
6.2.712336.1	x^6 - x^5 + 3x^4 - 2x^3 - 3x^2 - x - 1	\( 2^{4}\cdot 211^{2} \)	$S_4$ (as 6T7)	Trivial
6.2.732736.1	x^6 - 3x^4 + 2x^2 - 4	\( 2^{6}\cdot 107^{2} \)	$S_4$ (as 6T7)	Trivial
6.2.732736.2	x^6 - 2x^4 + 4x^2 - 1	\( 2^{6}\cdot 107^{2} \)	$S_4$ (as 6T7)	Trivial
6.2.746496.1	x^6 + 3x^4 + 3x^2 - 1	\( 2^{10}\cdot 3^{6} \)	$S_4$ (as 6T7)	Trivial
6.2.795664.1	x^6 - x^5 - 2x^4 + 6x^3 - 4x^2 - 4x + 8	\( 2^{4}\cdot 223^{2} \)	$S_4$ (as 6T7)	Trivial
6.2.846400.1	x^6 + 4x^4 - 5x^2 - 25	\( 2^{6}\cdot 5^{2}\cdot 23^{2} \)	$S_4$ (as 6T7)	Trivial
6.2.846400.2	x^6 - 7x^4 + 20x^2 - 25	\( 2^{6}\cdot 5^{2}\cdot 23^{2} \)	$S_4$ (as 6T7)	Trivial
6.2.848241.1	x^6 - 2x^5 + x^4 - x^3 - x^2 - 2x - 1	\( 3^{2}\cdot 307^{2} \)	$S_4$ (as 6T7)	Trivial

There are too many search results for downloading.