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 2101)

Label	Polynomial	Discriminant	Galois group	Class group
7.1.357911.1	x^7 - x^6 - x^5 + x^4 - x^3 - x^2 + 2x + 1	\( -\,71^{3} \)	$D_{7}$ (as 7T2)	Trivial
7.1.3442951.1	x^7 - x^6 + x^5 + 3x^3 - x^2 + 3x + 1	\( -\,151^{3} \)	$D_{7}$ (as 7T2)	Trivial
7.1.9938375.1	x^7 - x^6 + x^5 + 4x^4 - 6x^3 + x^2 + 4x + 1	\( -\,5^{3}\cdot 43^{3} \)	$D_{7}$ (as 7T2)	Trivial
7.1.11089567.1	x^7 + x^5 - 4x^4 - x^3 + 5x + 1	\( -\,223^{3} \)	$D_{7}$ (as 7T2)	Trivial
7.1.15813251.1	x^7 + 4x^5 - 2x^4 + 2x^3 - 3x + 2	\( -\,251^{3} \)	$D_{7}$ (as 7T2)	Trivial
7.1.23639903.1	x^7 - 2x^5 - x^4 - 2x^3 + 6x + 5	\( -\,7^{3}\cdot 41^{3} \)	$D_{7}$ (as 7T2)	Trivial
7.1.40353607.1	x^7 + 7x^3 - 7x^2 + 7x + 1	\( -\,7^{9} \)	$D_{7}$ (as 7T2)	Trivial
7.1.59776471.1	x^7 - 2x^6 + 6x^5 - 8x^4 + 14x^3 - 10x^2 + 9x - 1	\( -\,17^{3}\cdot 23^{3} \)	$D_{7}$ (as 7T2)	Trivial
7.1.65939264.1	x^7 - x^6 - 3x^5 + 5x^4 - 6x^2 + 8x - 8	\( -\,2^{6}\cdot 101^{3} \)	$D_{7}$ (as 7T2)	Trivial
7.1.80062991.1	x^7 - x^6 - x^5 - x^4 + 2x^3 - 5x^2 + 9x + 7	\( -\,431^{3} \)	$D_{7}$ (as 7T2)	Trivial
7.1.89314623.1	x^7 - x^6 - 3x^5 + 6x^4 - 15x^2 + 20x - 17	\( -\,3^{3}\cdot 149^{3} \)	$D_{7}$ (as 7T2)	Trivial
7.1.99252847.1	x^7 - 3x^6 + 7x^5 - 7x^4 + 8x^3 - 9x^2 + 11x + 1	\( -\,463^{3} \)	$D_{7}$ (as 7T2)	Trivial
7.1.101847563.1	x^7 - 2x^6 + x^5 - x^4 - 5x^2 - 6x - 4	\( -\,467^{3} \)	$D_{7}$ (as 7T2)	Trivial
7.1.115501303.1	x^7 - 2x^6 + 3x^5 - 2x^4 + 2x^3 - 7x^2 + 9x + 5	\( -\,487^{3} \)	$D_{7}$ (as 7T2)	Trivial
7.1.127263527.1	x^7 - x^6 + 5x^5 - x^4 + 10x^3 + 8x + 1	\( -\,503^{3} \)	$D_{7}$ (as 7T2)	Trivial
7.1.133432831.1	x^7 - x^5 - 3x^4 - 3x^3 + 2x^2 + 14x - 7	\( -\,7^{3}\cdot 73^{3} \)	$D_{7}$ (as 7T2)	Trivial
7.1.153130375.1	x^7 - 2x^6 + 4x^5 - 7x^4 + 5x^3 - 11x^2 + 20x - 15	\( -\,5^{3}\cdot 107^{3} \)	$D_{7}$ (as 7T2)	Trivial
7.1.153990656.1	x^7 - 2x^6 + 2x^5 - x^3 - 6x^2 - 6x - 4	\( -\,2^{9}\cdot 67^{3} \)	$D_{7}$ (as 7T2)	Trivial
7.7.192100033.1	x^7 - 2x^6 - 7x^5 + 10x^4 + 13x^3 - 10x^2 - x + 1	\( 577^{3} \)	$D_{7}$ (as 7T2)	Trivial
7.1.202262003.1	x^7 - 3x^6 + 9x^5 - 11x^4 + 7x^3 + 3x^2 - 6x - 4	\( -\,587^{3} \)	$D_{7}$ (as 7T2)	Trivial
7.1.211708736.1	x^7 - 2x^6 - 2x^4 + x^3 - 4x^2 - 6x - 4	\( -\,2^{6}\cdot 149^{3} \)	$D_{7}$ (as 7T2)	Trivial
7.1.331373888.1	x^7 - x^6 + 3x^5 + 3x^4 - 4x^3 + 14x^2 + 8x + 8	\( -\,2^{6}\cdot 173^{3} \)	$D_{7}$ (as 7T2)	Trivial
7.1.347428927.1	x^7 - 3x^6 + 8x^5 - 6x^4 + 10x^2 - 4x - 5	\( -\,19^{3}\cdot 37^{3} \)	$D_{7}$ (as 7T2)	Trivial
7.1.410172407.1	x^7 - 2x^6 + 5x^5 - 12x^4 + 10x^3 - 11x^2 + 13x + 1	\( -\,743^{3} \)	$D_{7}$ (as 7T2)	Trivial
7.1.525557943.1	x^7 - 3x^6 + 6x^5 - 11x^4 + 12x^3 - 21x^2 + 18x - 27	\( -\,3^{3}\cdot 269^{3} \)	$D_{7}$ (as 7T2)	Trivial
7.1.533411731.1	x^7 - x^6 - 3x^5 + 11x^4 - 9x^3 - 19x^2 + 38x - 36	\( -\,811^{3} \)	$D_{7}$ (as 7T2)	Trivial
7.1.565609283.1	x^7 - 2x^6 + 3x^5 + x^4 - 2x^3 - 7x^2 - 6x - 4	\( -\,827^{3} \)	$D_{7}$ (as 7T2)	Trivial
7.1.573856191.1	x^7 - 2x^6 + 8x^5 + 4x^4 + 11x^3 + 28x^2 + 22x + 9	\( -\,3^{3}\cdot 277^{3} \)	$D_{7}$ (as 7T2)	Trivial
7.1.633839779.1	x^7 - 3x^6 - 2x^5 + 13x^4 - 11x^3 - 6x^2 + 28x - 32	\( -\,859^{3} \)	$D_{7}$ (as 7T2)	Trivial
7.1.642735647.1	x^7 - x^6 - 4x^5 + 6x^4 + 10x^3 - 24x^2 + 16x + 1	\( -\,863^{3} \)	$D_{7}$ (as 7T2)	Trivial
7.1.726572699.1	x^7 - 2x^6 - x^5 - 3x^4 + 2x^3 - 3x^2 - 6x - 4	\( -\,29^{3}\cdot 31^{3} \)	$D_{7}$ (as 7T2)	Trivial
7.1.817400375.1	x^7 - x^6 + 6x^5 + 6x^3 - 2x^2 - 10x - 5	\( -\,5^{3}\cdot 11^{3}\cdot 17^{3} \)	$D_{7}$ (as 7T2)	Trivial
7.7.1027243729.1	x^7 - x^6 - 9x^5 + 2x^4 + 21x^3 + x^2 - 13x - 1	\( 1009^{3} \)	$D_{7}$ (as 7T2)	Trivial
7.1.1095912791.1	x^7 - x^6 + 4x^5 - 9x^4 + 26x^3 - 30x^2 + 21x + 1	\( -\,1031^{3} \)	$D_{7}$ (as 7T2)	Trivial
7.1.1312932375.1	x^7 - 3x^6 + 3x^5 + 14x^4 - 12x^3 - 3x^2 + 36x + 45	\( -\,3^{3}\cdot 5^{3}\cdot 73^{3} \)	$D_{7}$ (as 7T2)	Trivial
7.1.1375036928.1	x^7 - 3x^6 + 7x^5 - 5x^4 + 6x^3 + 18x^2 - 16x + 32	\( -\,2^{9}\cdot 139^{3} \)	$D_{7}$ (as 7T2)	Trivial
7.1.1573037747.1	x^7 - 2x^6 - 2x^5 + 14x^4 - 12x^3 - 26x^2 + 37x - 14	\( -\,1163^{3} \)	$D_{7}$ (as 7T2)	Trivial
7.1.1605723211.1	x^7 - 3x^6 + 3x^5 + 13x^4 + 7x^3 + 13x^2 + 26x + 12	\( -\,1171^{3} \)	$D_{7}$ (as 7T2)	Trivial
7.1.1655595487.1	x^7 - 3x^6 + 2x^5 + 6x^4 + 3x^3 - 16x^2 - 7x - 7	\( -\,7^{3}\cdot 13^{6} \)	$D_{7}$ (as 7T2)	Trivial
7.1.1775956931.1	x^7 - x^6 + 5x^5 + 5x^4 + x^3 + 7x^2 + 14x - 4	\( -\,7^{3}\cdot 173^{3} \)	$D_{7}$ (as 7T2)	Trivial
7.1.1829276567.1	x^7 - 2x^6 + 8x^5 - 4x^4 + 5x^3 + 5x^2 - 9x - 5	\( -\,1223^{3} \)	$D_{7}$ (as 7T2)	Trivial
7.1.2253243231.1	x^7 - x^6 + x^5 + x^4 - 22x^3 - 8x^2 + 72x - 21	\( -\,3^{3}\cdot 19^{3}\cdot 23^{3} \)	$D_{7}$ (as 7T2)	Trivial
7.1.2379270375.1	x^7 - 6x^5 - 22x^4 - 15x^3 + 6x^2 - 18x - 27	\( -\,3^{3}\cdot 5^{3}\cdot 89^{3} \)	$D_{7}$ (as 7T2)	Trivial
7.1.2471326208.1	x^7 - 2x^6 - 2x^5 - 4x^4 + 3x^3 - 2x^2 - 6x - 4	\( -\,2^{9}\cdot 13^{6} \)	$D_{7}$ (as 7T2)	Trivial
7.1.2537716544.1	x^7 - 2x^6 + 4x^5 + 2x^4 - 3x^3 - 8x^2 - 6x - 4	\( -\,2^{6}\cdot 11^{3}\cdot 31^{3} \)	$D_{7}$ (as 7T2)	Trivial
7.1.2720547136.1	x^7 - 2x^6 - 4x^5 + 6x^4 - 11x^3 + 12x^2 + 66x + 4	\( -\,2^{6}\cdot 349^{3} \)	$D_{7}$ (as 7T2)	Trivial
7.1.2761677827.1	x^7 - 2x^6 + 6x^4 + 12x^3 - 4x^2 - 7x - 10	\( -\,23^{3}\cdot 61^{3} \)	$D_{7}$ (as 7T2)	Trivial
7.1.3080271375.1	x^7 - x^6 - 5x^5 - 6x^4 + 12x^3 + 45x^2 - 18x + 27	\( -\,3^{3}\cdot 5^{3}\cdot 97^{3} \)	$D_{7}$ (as 7T2)	Trivial
7.1.3235225239.1	x^7 - x^6 + 2x^5 + 16x^4 - 36x^3 + 78x^2 - 72x + 63	\( -\,3^{3}\cdot 17^{3}\cdot 29^{3} \)	$D_{7}$ (as 7T2)	Trivial
7.1.3261545587.1	x^7 - x^5 - x^4 + 4x^3 - 31x^2 + 48x - 36	\( -\,1483^{3} \)	$D_{7}$ (as 7T2)	Trivial