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 all 19 matches)

Label	Polynomial	Discriminant	Galois group	Class group
11.5.132326332471.1	x^11 - 2x^10 + 2x^7 + x^6 - 3x^5 + 2x^2 + x - 1	\( -\,211441\cdot 625831 \)	$S_{11}$ (as 11T8)	Trivial
11.5.145065457639.1	x^11 - x^10 - 4x^9 + 7x^8 + 4x^7 - 9x^6 - 5x^5 + 2x^4 + 8x^3 + 2x^2 - 3x - 1	\( -\,2389\cdot 2617\cdot 23203 \)	$S_{11}$ (as 11T8)	Trivial
11.5.157519649831.1	x^11 - x^10 - x^9 - x^7 + x^6 + 2x^4 + 3x^3 - 2x - 1	\( -\,19457\cdot 8095783 \)	$S_{11}$ (as 11T8)	Trivial
11.5.167050542839.1	x^11 - 2x^10 + 2x^9 - 3x^7 + x^6 - x^5 + 2x + 1	\( -\,2089\cdot 79966751 \)	$S_{11}$ (as 11T8)	Trivial
11.5.167720394923.1	x^11 - 2x^10 - 3x^9 + 9x^8 - x^7 - 13x^6 + 9x^5 + 7x^4 - 5x^3 - 1	\( -\,167720394923 \)	$S_{11}$ (as 11T8)	Trivial
11.5.200601609583.1	x^11 + x^9 - 2x^7 - x^6 - 3x^5 + x^4 + x^3 + x^2 + x - 1	\( -\,200601609583 \)	$S_{11}$ (as 11T8)	Trivial
11.5.234360387559.1	x^11 + x^9 - 2x^8 - x^7 - x^5 - x^3 + 2x^2 + x - 1	\( -\,71\cdot 3300850529 \)	$S_{11}$ (as 11T8)	Trivial
11.5.236131740703.1	x^11 - x^10 - 2x^9 + 2x^8 - x^7 + 2x^5 - x^4 + x^3 + x^2 - 1	\( -\,372881\cdot 633263 \)	$S_{11}$ (as 11T8)	Trivial
11.5.248686333151.1	x^11 - 2x^9 - x^7 - x^6 + 2x^3 + x + 1	\( -\,2381\cdot 104446171 \)	$S_{11}$ (as 11T8)	Trivial
11.5.987614208000000000.1	x^11 - x^10 + 9x^9 - 45x^8 - 180x^6 + 120x^5 + 720x^4 + 285x^3 + 455x^2 - 35x - 105	\( -\,2^{19}\cdot 3^{9}\cdot 5^{9}\cdot 7^{2} \)	$S_{11}$ (as 11T8)	Trivial
11.5.1959920395776000000.1	x^11 - 5x^10 + 10x^9 + 8x^8 - 115x^7 + 47x^6 + 425x^5 + 65x^4 - 184x^3 - 1020x^2 - 960x - 240	\( -\,2^{15}\cdot 3^{13}\cdot 5^{6}\cdot 7^{4} \)	$S_{11}$ (as 11T8)	Trivial (GRH)
11.5.5203225702563840000.1	x^11 - x^10 - 18x^9 + 90x^7 - 114x^6 - 390x^5 + 678x^4 - 405x^3 - 1035x^2 + 1080x + 270	\( -\,2^{23}\cdot 3^{10}\cdot 5^{4}\cdot 7^{5} \)	$S_{11}$ (as 11T8)	Trivial (GRH)
11.5.6377292000000000000.1	x^11 - x^10 - 20x^9 + 30x^8 + 90x^7 - 90x^6 - 30x^5 - 1110x^4 + 2280x^3 - 1000x^2 + 328x - 568	\( -\,2^{14}\cdot 3^{13}\cdot 5^{12} \)	$S_{11}$ (as 11T8)	Trivial (GRH)
11.5.9678619238400000000.1	x^11 - 4x^10 + 6x^9 - 8x^8 - 31x^7 + 168x^6 + 106x^5 - 748x^4 - 396x^3 + 1008x^2 + 882x + 168	\( -\,2^{19}\cdot 3^{9}\cdot 5^{8}\cdot 7^{4} \)	$S_{11}$ (as 11T8)	Trivial (GRH)
11.5.84728860944300000000.1	x^11 - x^10 + 10x^9 - 405x^3 + 405x^2 + 324x - 324	\( -\,2^{8}\cdot 3^{25}\cdot 5^{8} \)	$S_{11}$ (as 11T8)	Trivial (GRH)
11.5.245092128659280000000.1	x^11 - 4x^10 - 2x^9 + 36x^8 - 30x^7 - 264x^6 - 16x^5 + 1078x^4 + 2261x^3 - 1220x^2 - 5185x - 1382	\( -\,2^{10}\cdot 3^{12}\cdot 5^{7}\cdot 7^{8} \)	$S_{11}$ (as 11T8)	Trivial (GRH)
11.5.287988303052800000000.1	x^11 - 2x^10 - 20x^9 + 105x^8 - 255x^7 - 444x^6 + 4878x^5 - 12735x^4 + 14040x^3 - 3040x^2 - 6016x - 1048	\( -\,2^{20}\cdot 3^{15}\cdot 5^{8}\cdot 7^{2} \)	$S_{11}$ (as 11T8)	Trivial (GRH)
11.5.9415610700088824000000.1	x^11 - 2x^10 - 14x^9 + 63x^8 + 108x^7 - 351x^6 - 1119x^5 - 957x^4 + 375x^3 + 812x^2 + 203x - 91	\( -\,2^{9}\cdot 3^{14}\cdot 5^{6}\cdot 7^{5}\cdot 11^{4} \)	$S_{11}$ (as 11T8)	Trivial (GRH)
11.5.46778003011555200000000.1	x^11 - 3x^10 - 50x^9 + 142x^8 + 299x^7 - 1207x^6 + 1430x^5 - 3722x^4 + 10566x^3 - 12480x^2 + 4650x + 630	\( -\,2^{13}\cdot 3^{7}\cdot 5^{8}\cdot 7^{3}\cdot 11^{7} \)	$S_{11}$ (as 11T8)	Trivial (GRH)