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 56886)

Label	Polynomial	Discriminant	Galois group	Class group
7.3.3884841.1	x^7 - 2x^6 + 4x^4 - 5x^3 + 2x - 1	\( 3^{6}\cdot 73^{2} \)	$A_7$ (as 7T6)	Trivial
7.3.4959529.1	x^7 - x^4 - x^3 + 3x^2 - 1	\( 17^{2}\cdot 131^{2} \)	$A_7$ (as 7T6)	Trivial
7.3.12313081.1	x^7 - x^6 - 2x^5 - 2x^4 + 4x^3 + 2x^2 - 1	\( 11^{4}\cdot 29^{2} \)	$A_7$ (as 7T6)	Trivial
7.3.16711744.1	x^7 - 2x^6 + 2x^4 - 2x^3 - 2x^2 + 2x + 2	\( 2^{6}\cdot 7^{2}\cdot 73^{2} \)	$A_7$ (as 7T6)	Trivial
7.3.16769025.1	x^7 - x^6 + x^5 - 4x^4 - 7x^2 - 6x + 1	\( 3^{4}\cdot 5^{2}\cdot 7^{2}\cdot 13^{2} \)	$A_7$ (as 7T6)	Trivial
7.3.17774656.1	x^7 - x^6 + 4x^5 - 2x^3 + 2x^2 - 3x + 1	\( 2^{6}\cdot 17^{2}\cdot 31^{2} \)	$A_7$ (as 7T6)	Trivial
7.3.18429849.1	x^7 - 3x^6 + 3x^5 - x^4 - 6x^3 + 6x^2 + 2x - 3	\( 3^{8}\cdot 53^{2} \)	$A_7$ (as 7T6)	Trivial
7.3.23580736.1	x^7 + x^5 - 2x^4 - 9x^3 - 8x^2 - 6x - 2	\( 2^{6}\cdot 607^{2} \)	$A_7$ (as 7T6)	Trivial
7.3.23882769.1	x^7 - x^6 - 3x^5 - x^4 + 4x^3 + 6x^2 - 3	\( 3^{6}\cdot 181^{2} \)	$A_7$ (as 7T6)	Trivial
7.3.24950025.1	x^7 - 2x^6 + 8x^4 - 16x^3 + 12x^2 - x - 1	\( 3^{6}\cdot 5^{2}\cdot 37^{2} \)	$A_7$ (as 7T6)	Trivial
7.3.27154521.1	x^7 - 3x^5 - 4x^4 - 3x^3 - 6x^2 - 3x + 3	\( 3^{6}\cdot 193^{2} \)	$A_7$ (as 7T6)	Trivial
7.3.30382144.1	x^7 - 3x^6 - x^5 + 5x^4 + 4x^3 - 4x^2 - 5x - 1	\( 2^{6}\cdot 13^{2}\cdot 53^{2} \)	$A_7$ (as 7T6)	Trivial
7.3.30647296.1	x^7 - 2x^6 - 2x^5 + 4x^4 + 3x^3 - 6x^2 + 4	\( 2^{10}\cdot 173^{2} \)	$A_7$ (as 7T6)	Trivial
7.3.34105600.1	x^7 - x^6 - 4x^3 + 4x^2 - 3x + 1	\( 2^{8}\cdot 5^{2}\cdot 73^{2} \)	$A_7$ (as 7T6)	Trivial
7.3.34386496.1	x^7 - 2x^6 - x^4 - 7x^3 + x^2 + 4	\( 2^{6}\cdot 733^{2} \)	$A_7$ (as 7T6)	Trivial
7.3.35450116.1	x^7 - x^6 - x^5 + x^4 + 3x^3 - 6x^2 + 2	\( 2^{2}\cdot 13^{2}\cdot 229^{2} \)	$A_7$ (as 7T6)	Trivial
7.3.35521600.1	x^7 - 2x^6 + 6x^4 - 10x^3 + 4x^2 + 8x - 8	\( 2^{6}\cdot 5^{2}\cdot 149^{2} \)	$A_7$ (as 7T6)	Trivial
7.3.36096064.1	x^7 - x^6 - 2x^5 + 5x^4 - 5x^3 + x^2 - 1	\( 2^{6}\cdot 751^{2} \)	$A_7$ (as 7T6)	Trivial
7.3.37258816.1	x^7 - x^6 + 3x^5 - 5x^4 + x^3 - x^2 - 5x - 1	\( 2^{6}\cdot 7^{2}\cdot 109^{2} \)	$A_7$ (as 7T6)	Trivial
7.3.37945600.1	x^7 - 3x^6 - x^5 + 5x^4 + 2x^3 - 2x^2 + 4x + 4	\( 2^{8}\cdot 5^{2}\cdot 7^{2}\cdot 11^{2} \)	$A_7$ (as 7T6)	Trivial
7.3.44622400.1	x^7 - 2x^6 - 3x^5 + 2x^4 + 6x^3 - 6x^2 - x + 2	\( 2^{6}\cdot 5^{2}\cdot 167^{2} \)	$A_7$ (as 7T6)	Trivial
7.3.44836416.1	x^7 - x^6 - 3x^5 + 7x^4 + 11x^3 - 3x^2 - 7x + 1	\( 2^{6}\cdot 3^{6}\cdot 31^{2} \)	$A_7$ (as 7T6)	Trivial
7.3.49420900.1	x^7 - x^5 - 6x^4 - 2x^3 + x^2 - 4x + 1	\( 2^{2}\cdot 5^{2}\cdot 19^{2}\cdot 37^{2} \)	$A_7$ (as 7T6)	Trivial
7.3.50808384.1	x^7 - 2x^6 + 2x + 2	\( 2^{6}\cdot 3^{8}\cdot 11^{2} \)	$A_7$ (as 7T6)	Trivial
7.3.52186176.1	x^7 - 3x^6 + x^5 + 5x^4 - 9x^3 + 5x^2 - x - 1	\( 2^{6}\cdot 3^{2}\cdot 7^{2}\cdot 43^{2} \)	$A_7$ (as 7T6)	Trivial
7.3.54597321.1	x^7 - x^6 - 2x^5 - 3x^3 - 4x^2 - x + 1	\( 3^{4}\cdot 821^{2} \)	$A_7$ (as 7T6)	Trivial
7.3.56776225.1	x^7 - 3x^6 + 9x^5 - 13x^4 + 10x^3 - 5x^2 - x + 1	\( 5^{2}\cdot 11^{2}\cdot 137^{2} \)	$A_7$ (as 7T6)	Trivial
7.3.60264169.1	x^7 - 2x^6 + 2x^5 + x^4 - 4x^3 + 2x^2 - 9x - 7	\( 7^{2}\cdot 1109^{2} \)	$A_7$ (as 7T6)	Trivial
7.3.60886809.1	x^7 - 3x^6 + 6x^5 - 9x^4 + 6x^3 - 3x^2 - 2x + 3	\( 3^{6}\cdot 17^{4} \)	$A_7$ (as 7T6)	Trivial
7.3.61089856.1	x^7 - 3x^6 + 4x^5 + 2x^4 - 6x^3 + 2x^2 - 3x - 1	\( 2^{6}\cdot 977^{2} \)	$A_7$ (as 7T6)	Trivial
7.3.64770304.1	x^7 - x^5 - x^4 - 4x^3 - 2x^2 - 2x - 2	\( 2^{8}\cdot 503^{2} \)	$A_7$ (as 7T6)	Trivial
7.3.66699889.1	x^7 - 3x^6 - x^5 + 13x^4 - 10x^3 - 11x^2 + 13x + 2	\( 8167^{2} \)	$A_7$ (as 7T6)	Trivial
7.3.68145025.1	x^7 - x^5 - 6x^4 + 10x^3 + 2x^2 - 7x + 2	\( 5^{2}\cdot 13^{2}\cdot 127^{2} \)	$A_7$ (as 7T6)	Trivial
7.3.68823616.1	x^7 - 3x^6 + x^5 + 5x^4 - 6x^3 - 2x^2 + 4x + 2	\( 2^{6}\cdot 17^{2}\cdot 61^{2} \)	$A_7$ (as 7T6)	Trivial
7.3.74097664.1	x^7 - 2x^6 + 2x^4 - 3x^3 + 2x^2 - 2	\( 2^{10}\cdot 269^{2} \)	$A_7$ (as 7T6)	Trivial
7.3.75186241.1	x^7 - x^6 + x^5 + 5x^4 + 6x^3 + 11x^2 - 3x - 1	\( 13^{2}\cdot 23^{2}\cdot 29^{2} \)	$A_7$ (as 7T6)	Trivial
7.3.76370121.1	x^7 - 3x^5 - 3x^4 - 4x^3 + 6x^2 - 7x + 2	\( 3^{4}\cdot 971^{2} \)	$A_7$ (as 7T6)	Trivial
7.3.77951241.1	x^7 - 2x^6 + 6x^5 - 2x^4 - 2x^3 + 18x^2 - 15x + 3	\( 3^{8}\cdot 109^{2} \)	$A_7$ (as 7T6)	Trivial
7.3.78730129.1	x^7 - 2x^5 - 4x^4 - 7x^3 + 6x + 1	\( 19^{2}\cdot 467^{2} \)	$A_7$ (as 7T6)	Trivial
7.3.83612736.1	x^7 - 2x^6 + 6x^5 - 2x^4 - 3x^3 - 8x + 2	\( 2^{6}\cdot 3^{4}\cdot 127^{2} \)	$A_7$ (as 7T6)	Trivial
7.3.84437721.1	x^7 - 3x^6 + 2x^5 + 6x^4 - 7x^3 - 4x^2 + 5x - 1	\( 3^{4}\cdot 1021^{2} \)	$A_7$ (as 7T6)	Trivial
7.3.85655025.1	x^7 - 2x^6 - 3x^5 + 2x^4 + 9x^3 + 2x^2 - 7x - 5	\( 3^{2}\cdot 5^{2}\cdot 617^{2} \)	$A_7$ (as 7T6)	Trivial
7.3.87011584.1	x^7 - 2x^6 - 3x^5 - 5x^3 - 10x^2 - 8x - 2	\( 2^{8}\cdot 11^{2}\cdot 53^{2} \)	$A_7$ (as 7T6)	Trivial
7.3.87778161.1	x^7 - 3x^5 - 2x^4 + 3x^2 - 3x - 3	\( 3^{6}\cdot 347^{2} \)	$A_7$ (as 7T6)	Trivial
7.3.88811776.1	x^7 - 2x^6 + 4x^4 - 11x^3 + 4x^2 + 4x - 2	\( 2^{8}\cdot 19^{2}\cdot 31^{2} \)	$A_7$ (as 7T6)	Trivial
7.3.91623184.1	x^7 - 4x^5 - x^4 + 2x^3 + 13x^2 - 13x + 3	\( 2^{4}\cdot 2393^{2} \)	$A_7$ (as 7T6)	Trivial
7.3.92294449.1	x^7 - 3x^6 - x^5 + 4x^4 + 5x^3 - 9x^2 + x + 1	\( 13^{2}\cdot 739^{2} \)	$A_7$ (as 7T6)	Trivial
7.3.92833225.1	x^7 - 2x^6 - x^5 - 4x^4 - 2x^3 + x^2 + 3x - 1	\( 5^{2}\cdot 41^{2}\cdot 47^{2} \)	$A_7$ (as 7T6)	Trivial
7.3.94167616.1	x^7 - 2x^6 - 2x^5 - 5x^3 - 2x^2 - x - 2	\( 2^{6}\cdot 1213^{2} \)	$A_7$ (as 7T6)	Trivial
7.3.95531076.1	x^7 - 2x^6 + x^4 + x^3 - 4x + 2	\( 2^{2}\cdot 3^{6}\cdot 181^{2} \)	$A_7$ (as 7T6)	Trivial