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 16 matches)

Label	Polynomial	Discriminant	Galois group	Class group
14.2.508017475013049.1	x^14 - x^11 - x^10 - 4x^9 + x^7 - 4x^5 - x^4 - x^3 + 1	\( 3^{2}\cdot 2741^{4} \)	14T50	Trivial
14.2.2647140367335424.1	x^14 - 3x^12 + x^10 + x^8 - x^6 + 7x^4 - x^2 - 1	\( 2^{18}\cdot 317^{4} \)	14T50	Trivial
14.2.7729847623880704.1	x^14 - 5x^13 + 7x^12 + x^11 - x^10 - 9x^9 - 23x^8 + 61x^7 - 38x^6 + 22x^5 - 24x^4 + 10x^3 - 4x^2 + 2x - 2	\( 2^{12}\cdot 7^{2}\cdot 443^{4} \)	14T50	Trivial
14.2.12332107608300529.1	x^14 - 2x^13 + 5x^12 - 4x^11 - 2x^10 + 11x^9 - 18x^8 + 11x^7 + 13x^6 - 25x^5 + 29x^4 - 24x^3 + 12x^2 - 5x - 1	\( 7^{6}\cdot 569^{4} \)	14T50	Trivial
14.6.47899656265729801.1	x^14 - x^13 - 11x^12 + 18x^11 + 40x^10 - 96x^9 - 34x^8 + 206x^7 - 83x^6 - 157x^5 + 138x^4 - 6x^3 - 20x^2 + 7x - 1	\( 13^{4}\cdot 109^{6} \)	14T50	Trivial
14.6.66054033183883264.1	x^14 + 2x^10 - 5x^8 + 2x^6 - 4x^4 + 4x^2 - 1	\( 2^{14}\cdot 13^{4}\cdot 109^{4} \)	14T50	Trivial
14.6.449152684508839936.1	x^14 - 7x^13 + 23x^12 - 47x^11 + 54x^10 - 6x^9 - 81x^8 + 129x^7 - 78x^6 - 26x^5 + 71x^4 - 43x^3 + x^2 + 9x - 4	\( 2^{20}\cdot 809^{4} \)	14T50	Trivial
14.6.1190527631142424576.2	x^14 - 2x^13 - 4x^12 + 2x^11 + 9x^10 + 8x^9 - 3x^8 - 6x^7 - 3x^6 + 8x^5 + 9x^4 + 2x^3 - 4x^2 - 2x + 1	\( 2^{12}\cdot 4129^{4} \)	14T50	Trivial
14.10.14953489656814350625.1	x^14 - 5x^13 - 4x^12 + 47x^11 - 20x^10 - 119x^9 + 17x^8 + 191x^7 + 17x^6 - 119x^5 - 20x^4 + 47x^3 - 4x^2 - 5x + 1	\( 5^{4}\cdot 12437^{4} \)	14T50	Trivial
14.10.16230381662628806656.1	x^14 - 9x^12 + 20x^10 + 17x^8 - 71x^6 + x^4 + 26x^2 - 1	\( 2^{16}\cdot 3967^{4} \)	14T50	Trivial
14.2.18855420054128889856.1	x^14 - 5x^13 + 6x^12 + 14x^11 - 52x^10 + 44x^9 + 72x^8 - 210x^7 + 144x^6 + 176x^5 - 416x^4 + 224x^3 + 192x^2 - 320x + 128	\( 2^{12}\cdot 8237^{4} \)	14T50	Trivial
14.2.28745771808565755904.1	x^14 - 5x^13 + 12x^12 - 19x^11 + 30x^10 - 23x^9 - 83x^8 + 304x^7 - 470x^6 + 402x^5 - 152x^4 - 26x^3 + 50x - 22	\( 2^{26}\cdot 809^{4} \)	14T50	$[2]$
14.6.1839729395748208377856.1	x^14 - 58x^10 + 56x^8 + 335x^6 + 252x^4 + 16x^2 - 16	\( 2^{32}\cdot 809^{4} \)	14T50	Trivial
14.6.1839729395748208377856.2	x^14 - x^12 - 19x^10 - 21x^8 + 25x^6 + 23x^4 - 15x^2 - 1	\( 2^{32}\cdot 809^{4} \)	14T50	Trivial
14.14.6620494548366593622016.1	x^14 - 16x^12 + 97x^10 - 277x^8 + 379x^6 - 230x^4 + 51x^2 - 1	\( 2^{24}\cdot 4457^{4} \)	14T50	Trivial (GRH)
14.14.7358917582992833511424.1	x^14 - 18x^12 + 114x^10 - 316x^8 + 415x^6 - 254x^4 + 64x^2 - 4	\( 2^{34}\cdot 809^{4} \)	14T50	Trivial (GRH)