Global number field search results

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Degree	Signature	Galois group	Class number	Class group
Regulator	Num. ramified primes	Ramified primes		Unramified primes
CM field	Discriminant		Root discriminant

Results (displaying all 8 matches)

Label	Polynomial	Discriminant	Galois group	Class group
14.2.5712803040866857.1	x^14 - 3x^13 + 8x^12 - 15x^11 + 24x^10 - 26x^9 + 23x^8 - 22x^7 + 23x^6 - 22x^5 + 9x^4 - 7x^3 + 3x^2 - 6x - 1	\( 13^{5}\cdot 109^{5} \)	$C_2\times \PSL(2,7)$ (as 14T17)	Trivial
14.2.5712803040866857.2	x^14 - 3x^13 + 8x^12 - 13x^11 + 15x^10 - 14x^9 - x^7 - 14x^5 + 15x^4 - 13x^3 + 8x^2 - 3x + 1	\( 13^{5}\cdot 109^{5} \)	$C_2\times \PSL(2,7)$ (as 14T17)	Trivial
14.4.3356573985781317632.1	x^14 - 4x^13 + 10x^11 + 16x^10 - 28x^9 - 76x^8 + 38x^7 + 164x^6 + 48x^5 - 188x^4 - 244x^3 + 150x^2 + 124x - 34	\( -\,2^{20}\cdot 317^{5} \)	$C_2\times \PSL(2,7)$ (as 14T17)	Trivial
14.4.3356573985781317632.2	x^14 - 4x^13 - 2x^12 + 22x^11 - 8x^10 - 66x^9 + 150x^8 - 190x^7 + 138x^6 - 40x^5 - 22x^4 + 52x^3 - 44x^2 + 16x - 2	\( -\,2^{20}\cdot 317^{5} \)	$C_2\times \PSL(2,7)$ (as 14T17)	Trivial
14.14.19662754355948284297216.1	x^14 - 6x^13 - 15x^12 + 104x^11 + 104x^10 - 598x^9 - 502x^8 + 1280x^7 + 1280x^6 - 672x^5 - 908x^4 - 8x^3 + 152x^2 + 8x - 8	\( 2^{14}\cdot 4129^{5} \)	$C_2\times \PSL(2,7)$ (as 14T17)	Trivial
14.14.19662754355948284297216.2	x^14 - 30x^12 - 14x^11 + 261x^10 + 108x^9 - 890x^8 - 150x^7 + 1283x^6 - 78x^5 - 660x^4 + 76x^3 + 120x^2 - 12x - 4	\( 2^{14}\cdot 4129^{5} \)	$C_2\times \PSL(2,7)$ (as 14T17)	Trivial (GRH)
14.0.93021317572518786105344.1	x^14 - 2x^13 + 10x^12 - 24x^11 + 62x^10 - 92x^9 + 242x^8 - 328x^7 + 526x^6 - 84x^5 + 640x^4 - 104x^3 + 688x^2 + 232x + 356	\( -\,2^{28}\cdot 809^{5} \)	$C_2\times \PSL(2,7)$ (as 14T17)	$[2, 32]$
14.0.93021317572518786105344.2	x^14 - 6x^13 + 32x^12 - 144x^11 + 567x^10 - 1958x^9 + 5542x^8 - 13788x^7 + 29425x^6 - 51950x^5 + 73504x^4 - 79680x^3 + 67601x^2 - 35622x + 17902	\( -\,2^{28}\cdot 809^{5} \)	$C_2\times \PSL(2,7)$ (as 14T17)	$[2, 32]$