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
14.4.1524052425039147.1	x^14 - 6x^13 + 20x^12 - 46x^11 + 79x^10 - 108x^9 + 113x^8 - 92x^7 + 46x^6 - 5x^5 - 21x^4 + 19x^3 - 10x^2 + 1	\( -\,3^{3}\cdot 2741^{4} \)	14T43	Trivial
14.2.3329851404800000.1	x^14 - 3x^13 + 4x^12 - 5x^11 + 5x^10 + 2x^9 - 9x^8 + 7x^7 - 3x^6 + 2x^5 - 7x^4 + 5x^3 - 4x^2 + x - 1	\( 2^{12}\cdot 5^{5}\cdot 127^{4} \)	14T43	Trivial
14.4.3808955502493696.1	x^14 - 2x^13 + x^12 + 8x^11 - 16x^10 + 10x^9 + 18x^8 - 32x^7 + 18x^6 + 10x^5 - 16x^4 + 8x^3 + x^2 - 2x + 1	\( -\,2^{16}\cdot 491^{4} \)	14T43	Trivial
14.0.17976985715755339.1	x^14 - x^13 + x^12 - 3x^11 - 11x^10 - 11x^9 + 20x^7 + 60x^6 + 92x^5 + 96x^4 + 66x^3 + 30x^2 + 8x + 1	\( -\,7^{3}\cdot 13^{5}\cdot 109^{4} \)	14T43	Trivial
14.2.19807340395045073.1	x^14 - 3x^13 + 2x^12 - 2x^11 + 7x^10 - 5x^9 + 9x^8 - 30x^7 + 34x^6 - 18x^5 + 18x^4 + 8x^3 - 55x^2 + 46x - 13	\( 13^{4}\cdot 17^{3}\cdot 109^{4} \)	14T43	Trivial
14.0.26443151683158016.1	x^14 - 2x^13 - x^12 + 4x^11 + 3x^10 - 2x^9 + 3x^8 - 4x^7 + 15x^6 + 10x^5 - 3x^4 - 8x^3 - 3x^2 + 2x + 1	\( -\,2^{16}\cdot 797^{4} \)	14T43	Trivial
14.6.125838900010287373.1	x^14 - 6x^13 + 11x^12 - 27x^10 + 45x^9 - 29x^8 - 28x^7 + 78x^6 - 31x^5 - 72x^4 + 55x^3 + 17x^2 - 20x - 1	\( 7^{4}\cdot 13^{5}\cdot 109^{4} \)	14T43	Trivial
14.6.159781013894463488.1	x^14 - 4x^13 + x^12 + 14x^11 - 8x^10 - 26x^9 + 70x^7 - 50x^6 + 10x^4 - 12x^3 + 5x^2 + 2x - 1	\( 2^{19}\cdot 743^{4} \)	14T43	Trivial
14.8.19048442098278793216.1	x^14 + 4x^12 - 50x^10 + 72x^8 + 73x^6 - 104x^4 - 16x^2 + 4	\( -\,2^{16}\cdot 4129^{4} \)	14T43	Trivial
14.8.19048442098278793216.2	x^14 + 4x^12 - 18x^10 - 20x^8 + 105x^6 - 76x^4 - 16x^2 + 16	\( -\,2^{16}\cdot 4129^{4} \)	14T43	Trivial
14.6.57491543617131511808.1	x^14 + 10x^12 - 10x^10 - 146x^8 - 15x^6 + 154x^4 - 36x^2 - 2	\( 2^{27}\cdot 809^{4} \)	14T43	Trivial
14.6.57491543617131511808.2	x^14 - 2x^13 + 3x^12 - 12x^11 + 11x^10 + 10x^9 + 19x^8 - 80x^7 - 69x^6 + 362x^5 - 135x^4 - 244x^3 + 177x^2 - 34x + 1	\( 2^{27}\cdot 809^{4} \)	14T43	Trivial
14.0.413780909272912101376.1	x^14 + 17x^12 + 106x^10 + 304x^8 + 419x^6 + 259x^4 + 59x^2 + 1	\( -\,2^{20}\cdot 4457^{4} \)	14T43	$[2, 4]$
14.0.459932348937052094464.1	x^14 + 19x^12 + 120x^10 + 344x^8 + 472x^6 + 284x^4 + 60x^2 + 4	\( -\,2^{30}\cdot 809^{4} \)	14T43	$[18]$
14.14.1714445270973235712000.1	x^14 - 27x^12 - 12x^11 + 248x^10 + 154x^9 - 1008x^8 - 698x^7 + 1858x^6 + 1328x^5 - 1406x^4 - 954x^3 + 317x^2 + 138x - 28	\( 2^{12}\cdot 5^{3}\cdot 7607^{4} \)	14T43	Trivial
14.14.3679458791496416755712.1	x^14 - 20x^12 + 136x^10 - 428x^8 + 684x^6 - 560x^4 + 220x^2 - 32	\( 2^{33}\cdot 809^{4} \)	14T43	Trivial