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 798)

Label	Polynomial	Discriminant	Galois group	Class group
11.1.5781612911.1	x^11 - 2x^10 + 2x^9 - 3x^8 + 6x^7 - 8x^6 + 7x^5 - 7x^4 + 7x^3 - 6x^2 + 3x - 1	\( -\,239\cdot 24190849 \)	$S_{11}$ (as 11T8)	Trivial
11.1.5807103943.1	x^11 - x^10 - x^9 + 3x^8 - 4x^6 + 2x^5 + 2x^4 - 3x^3 + x - 1	\( -\,269\cdot 359\cdot 60133 \)	$S_{11}$ (as 11T8)	Trivial
11.1.5901091967.1	x^11 - 2x^10 + x^9 + 3x^8 - 5x^7 + 2x^6 + 4x^5 - 6x^4 + 2x^3 + 3x^2 - 3x + 1	\( -\,5901091967 \)	$S_{11}$ (as 11T8)	Trivial
11.1.5939843699.1	x^11 + x^9 - 2x^8 - 2x^7 - x^6 + 3x^4 + x^3 + x^2 - 1	\( -\,12917\cdot 459847 \)	$S_{11}$ (as 11T8)	Trivial
11.1.5960386319.1	x^11 - x^10 + x^9 - 2x^7 + x^6 - 2x^5 + x^3 + x + 1	\( -\,64661\cdot 92179 \)	$S_{11}$ (as 11T8)	Trivial
11.1.5999947987.1	x^11 - 2x^10 + x^9 + 3x^8 - 5x^7 + x^6 + 5x^5 - 5x^4 + x^3 + 2x^2 - 2x + 1	\( -\,11^{2}\cdot 49586347 \)	$S_{11}$ (as 11T8)	Trivial
11.1.6046447999.1	x^11 + 3x^9 - 2x^8 + 4x^7 - 5x^6 + 5x^5 - 6x^4 + 4x^3 - 4x^2 + 2x - 1	\( -\,163\cdot 37094773 \)	$S_{11}$ (as 11T8)	Trivial
11.1.6205948139.1	x^11 - x^9 - x^8 + 2x^7 + 2x^6 - x^5 - 2x^4 + 2x^2 - 1	\( -\,6205948139 \)	$S_{11}$ (as 11T8)	Trivial
11.1.6477690799.1	x^11 - x^10 + 3x^9 - 4x^8 + 6x^7 - 7x^6 + 8x^5 - 8x^4 + 6x^3 - 5x^2 + 3x - 1	\( -\,1609\cdot 4025911 \)	$S_{11}$ (as 11T8)	Trivial
11.1.6660072199.1	x^11 - x^9 - x^8 - x^5 + x^4 + 3x^3 + x^2 - x - 1	\( -\,11^{2}\cdot 181\cdot 304099 \)	$S_{11}$ (as 11T8)	Trivial
11.1.9824914719.1	x^11 - x^10 - x^9 + 4x^8 - 3x^7 - x^6 + 5x^5 - 5x^4 + x^3 + 2x^2 - 2x + 1	\( -\,3^{2}\cdot 131\cdot 8333261 \)	$S_{11}$ (as 11T8)	Trivial
11.1.12696946299.1	x^11 - 2x^10 + 3x^9 - 3x^8 + 3x^7 - 3x^6 + 5x^5 - 9x^4 + 11x^3 - 8x^2 + 4x - 1	\( -\,3^{2}\cdot 15731\cdot 89681 \)	$S_{11}$ (as 11T8)	Trivial
11.1.26277078939.1	x^11 - x^10 + x^8 - 4x^7 + 2x^6 + x^5 - 3x^4 + 5x^3 - 3x^2 + x - 1	\( -\,3\cdot 23\cdot 107\cdot 227\cdot 15679 \)	$S_{11}$ (as 11T8)	Trivial
11.1.129891985607.1	x^11 - x^10 + 5x^9 - 4x^8 + 10x^7 - 6x^6 + 11x^5 - 7x^4 + 9x^3 - 4x^2 + 2x + 1	\( -\,167^{5} \)	$D_{11}$ (as 11T2)	Trivial
11.1.275311670611.1	x^11 - x - 1	\( -\,275311670611 \)	$S_{11}$ (as 11T8)	Trivial
11.1.1461660310351.1	x^11 + x^9 - x^8 + 3x^7 + 3x^6 - 6x^5 + 3x^4 + 5x^3 - 6x^2 + 5x + 1	\( -\,271^{5} \)	$D_{11}$ (as 11T2)	Trivial
11.1.20765311670611.1	x^11 + 2x - 1	\( -\,58451\cdot 355260161 \)	$S_{11}$ (as 11T8)	Trivial
11.1.34522712143931.1	x^11 - 11x^8 + 44x^5 + 33x^4 + 44x^3 - 11	\( -\,11^{13} \)	$F_{11}$ (as 11T4)	Trivial
11.1.37013238967296.1	x^11 + 4x - 4	\( -\,2^{10}\cdot 3\cdot 59\cdot 97\cdot 397\cdot 5303 \)	$S_{11}$ (as 11T8)	Trivial
11.1.53339349076992.1	x^11 - 3x^10 + 11x^9 - 21x^8 + 36x^7 - 38x^6 + 32x^5 - 2x^4 - 17x^3 + 37x^2 - 23x + 15	\( -\,2^{10}\cdot 3^{5}\cdot 11^{8} \)	$F_{11}$ (as 11T4)	Trivial
11.1.72100355223951.1	x^11 - 3x^10 + 8x^8 + 3x^7 - 42x^6 + 61x^5 - 21x^4 - 33x^3 + 45x^2 + 9x - 27	\( -\,3^{5}\cdot 197^{5} \)	$D_{11}$ (as 11T2)	Trivial
11.1.73029787676416.1	x^11 - 4x - 8	\( -\,2^{8}\cdot 16651\cdot 17132461 \)	$S_{11}$ (as 11T8)	Trivial
11.1.77265229938688.1	x^11 - 4x^10 + 6x^9 + 2x^8 - 14x^7 + 10x^6 + 7x^5 - 16x^4 + 2x^3 + 8x^2 - x - 8	\( -\,2^{15}\cdot 11^{9} \)	$F_{11}$ (as 11T4)	Trivial
11.1.93851287159343.1	x^11 - 5x^10 + 13x^9 - 22x^8 + 32x^7 - 44x^6 + 47x^5 - 30x^4 + 11x^3 + 6x^2 - 21x + 17	\( -\,7^{5}\cdot 89^{5} \)	$D_{11}$ (as 11T2)	Trivial
11.1.118098000000000.1	x^11 - 2x^10 + 4x^9 - 10x^8 + 8x^7 - 16x^6 + 12x^5 - 12x^4 + 15x^3 - 14x^2 + 4x - 8	\( -\,2^{10}\cdot 3^{10}\cdot 5^{9} \)	$S_{11}$ (as 11T8)	Trivial
11.1.124287391407299.1	x^11 - x^10 - 4x^9 - 15x^8 - 7x^7 + 14x^6 + 15x^5 - 35x^4 + 16x^3 - x^2 + 3x - 2	\( -\,659^{5} \)	$D_{11}$ (as 11T2)	Trivial
11.1.139234453205859.1	x^11 - 3	\( -\,3^{10}\cdot 11^{9} \)	$F_{11}$ (as 11T4)	Trivial
11.1.210239150705664.1	x^11 - 4x^6 - 8x^3 + 4x - 2	\( -\,2^{10}\cdot 3\cdot 13327\cdot 5135231 \)	$S_{11}$ (as 11T8)	Trivial
11.1.236196000000000.1	x^11 - x^10 + x^9 - 5x^8 + 8x^7 - 8x^6 + 8x^5 - 14x^4 + 5x^3 - 7x^2 + x - 1	\( -\,2^{11}\cdot 3^{10}\cdot 5^{9} \)	$S_{11}$ (as 11T8)	Trivial
11.1.251199150705664.1	x^11 - 4x - 4	\( -\,2^{10}\cdot 7\cdot 53\cdot 661217441 \)	$S_{11}$ (as 11T8)	Trivial
11.1.265446387748607.1	x^11 - x^10 - 2x^9 + 4x^8 - 3x^7 + x^6 + 20x^5 - 48x^4 + 35x^3 + 7x^2 - 26x + 13	\( -\,13^{5}\cdot 59^{5} \)	$D_{11}$ (as 11T2)	Trivial
11.1.271679150705664.1	x^11 - 2x - 2	\( -\,2^{10}\cdot 3\cdot 13\cdot 149\cdot 45656801 \)	$S_{11}$ (as 11T8)	Trivial
11.1.292149150705664.1	x^11 - x - 2	\( -\,2^{11}\cdot 7\cdot 20378707499 \)	$S_{11}$ (as 11T8)	Trivial
11.1.292159140940039.1	x^11 - x - 4	\( -\,19\cdot 397\cdot 38732485873 \)	$S_{11}$ (as 11T8)	Trivial
11.1.292159150705664.1	x^11 - 2	\( -\,2^{10}\cdot 11^{11} \)	$F_{11}$ (as 11T4)	Trivial
11.1.312639150705664.1	x^11 + 2x - 2	\( -\,2^{10}\cdot 305311670611 \)	$S_{11}$ (as 11T8)	Trivial
11.1.374079150705664.1	x^11 - 4x^6 + 8x^3 + 4x - 2	\( -\,2^{10}\cdot 29\cdot 1613\cdot 1949\cdot 4007 \)	$S_{11}$ (as 11T8)	Trivial
11.1.415728505588199.1	x^11 - 2x^10 + x^9 - 5x^8 + 18x^7 - 17x^6 + 17x^4 - 13x^3 - 5x^2 + 17x - 1	\( -\,839^{5} \)	$D_{11}$ (as 11T2)	Trivial
11.1.489776025600000.1	x^11 - x^10 - 5x^9 + x^8 + 11x^7 + 13x^6 - 8x^5 - 40x^4 + 16x^3 + 16x^2 + 32x - 32	\( -\,2^{15}\cdot 3^{14}\cdot 5^{5} \)	$S_{11}$ (as 11T8)	Trivial
11.1.501292001353351.1	x^11 - 2x^10 + x^9 + 11x^8 - 8x^7 - 5x^6 + 33x^5 - 16x^4 - 28x^3 + 29x^2 - 12x + 9	\( -\,13^{5}\cdot 67^{5} \)	$D_{11}$ (as 11T2)	Trivial
11.1.524740246980399.1	x^11 - 4x^10 + 2x^9 + 13x^8 - 36x^7 + 69x^6 - 82x^5 + 103x^4 - 74x^3 + 50x^2 - 18x + 3	\( -\,3^{5}\cdot 293^{5} \)	$D_{11}$ (as 11T2)	Trivial
11.1.845536520469607.1	x^11 - 2x^10 - x^9 - 13x^8 + 6x^7 + 18x^6 + 81x^5 + 99x^4 + 122x^3 + 68x^2 + 43x + 1	\( -\,967^{5} \)	$D_{11}$ (as 11T2)	Trivial
11.1.891598970659375.1	x^11 + 11x^9 + 44x^7 + 77x^5 + 55x^3 + 11x - 1	\( -\,5^{5}\cdot 11^{11} \)	$F_{11}$ (as 11T4)	Trivial
11.1.1168796602822656.1	x^11 + 4x - 8	\( -\,2^{12}\cdot 3\cdot 379\cdot 250968103 \)	$S_{11}$ (as 11T8)	Trivial
11.1.1278110063526912.1	x^11 - x^10 - 6x^9 + 2x^8 + 16x^7 - 6x^6 + 5x^5 - 29x^4 + 39x^3 - 45x^2 + 21x - 9	\( -\,2^{10}\cdot 3^{9}\cdot 7^{8}\cdot 11 \)	$S_{11}$ (as 11T8)	Trivial
11.1.1442319106405376.1	x^11 - x^10 - x^9 + 3x^8 + 27x^7 + 51x^6 + 29x^5 - 31x^4 - 48x^3 - 22x^2 + 16x - 8	\( -\,2^{10}\cdot 269^{5} \)	$D_{11}$ (as 11T2)	Trivial
11.1.1692662195786551.1	x^11 - 3x^10 + 6x^9 - 11x^8 + 22x^7 - 19x^6 + 19x^5 - 37x^4 + 60x^3 - 46x^2 + 22x - 11	\( -\,11^{5}\cdot 101^{5} \)	$D_{11}$ (as 11T2)	Trivial
11.1.1771755311670611.1	x^11 + 3x - 1	\( -\,1771755311670611 \)	$S_{11}$ (as 11T8)	Trivial
11.1.2063629150705664.1	x^11 + 3x - 2	\( -\,2^{11}\cdot 19\cdot 79\cdot 179\cdot 3750317 \)	$S_{11}$ (as 11T8)	Trivial
11.1.2164483503590607.1	x^11 - 4x^10 - x^9 + 7x^8 + 30x^7 - 91x^5 - 95x^4 + 28x^3 + 200x^2 + 177x - 9	\( -\,3^{5}\cdot 389^{5} \)	$D_{11}$ (as 11T2)	Trivial