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
14.6.241138019157065371648.1	x^14 - 5x^12 - 14x^11 - 29x^10 - 26x^9 + 7x^8 + 250x^7 + 877x^6 + 1766x^5 + 2427x^4 + 2404x^3 + 1535x^2 + 516x + 67	\( 2^{12}\cdot 73^{9} \)	$C_2\times F_8:C_3$ (as 14T18)	Trivial
14.6.412907567049769472000.1	x^14 - 2x^13 - 3x^12 - 10x^11 + 13x^10 + 12x^9 - 165x^8 + 94x^7 - 35x^6 - 360x^5 + 205x^4 + 464x^3 + 109x^2 - 42x - 13	\( 2^{12}\cdot 5^{3}\cdot 73^{8} \)	$C_2\times F_8:C_3$ (as 14T18)	Trivial
14.8.845634697317927878656.1	x^14 - 6x^13 + 12x^12 - 26x^11 + 110x^10 - 234x^9 + 248x^8 - 342x^7 + 538x^6 - 356x^5 + 186x^4 - 256x^3 + 64x^2 + 48x - 10	\( -\,2^{20}\cdot 73^{8} \)	$C_2\times F_8:C_3$ (as 14T18)	Trivial
14.8.845634697317927878656.2	x^14 - x^12 - 27x^10 + 51x^8 + 67x^6 - 115x^4 - 41x^2 + 1	\( -\,2^{20}\cdot 73^{8} \)	$C_2\times F_8:C_3$ (as 14T18)	Trivial
14.14.6606521072796311552000.1	x^14 - 2x^13 - 21x^12 + 38x^11 + 175x^10 - 278x^9 - 733x^8 + 974x^7 + 1599x^6 - 1640x^5 - 1661x^4 + 1150x^3 + 597x^2 - 258x - 47	\( 2^{16}\cdot 5^{3}\cdot 73^{8} \)	$C_2\times F_8:C_3$ (as 14T18)	Trivial
14.14.15432833226052183785472.1	x^14 - 23x^12 + 189x^10 - 723x^8 + 1363x^6 - 1241x^4 + 511x^2 - 73	\( 2^{18}\cdot 73^{9} \)	$C_2\times F_8:C_3$ (as 14T18)	Trivial (GRH)
14.0.22657064019154950467584.1	x^14 - 2x^13 + 22x^12 - 54x^11 + 240x^10 - 648x^9 + 1498x^8 - 4160x^7 + 6684x^6 - 13264x^5 + 20352x^4 - 22164x^3 + 30700x^2 - 15156x + 14300	\( -\,2^{12}\cdot 19^{3}\cdot 73^{8} \)	$C_2\times F_8:C_3$ (as 14T18)	$[18]$
14.0.54120620628347384233984.1	x^14 + 22x^12 + 188x^10 + 780x^8 + 1584x^6 + 1352x^4 + 288x^2 + 16	\( -\,2^{26}\cdot 73^{8} \)	$C_2\times F_8:C_3$ (as 14T18)	$[48]$