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
14.0.1336413785513566222733246057152512.1	x^14 - 2x^13 + 271x^12 - 466x^11 + 33450x^10 - 47544x^9 + 2428667x^8 - 2706408x^7 + 111457382x^6 - 90555574x^5 + 3215339330x^4 - 1691924612x^3 + 53691865357x^2 - 13804563006x + 398209394731	\( -\,2^{21}\cdot 3^{7}\cdot 7^{7}\cdot 29^{12} \)	$C_{14}$ (as 14T1)	$[2, 2, 2, 2, 1075858]$ (GRH)
14.0.38755999779893420459264135657422848.1	x^14 + 1218x^12 + 511560x^10 + 92387736x^8 + 7038656352x^6 + 204662469312x^4 + 2069364967488x^2 + 6685640664192	\( -\,2^{21}\cdot 3^{7}\cdot 7^{7}\cdot 29^{13} \)	$C_{14}$ (as 14T1)	$[2, 2, 2, 2, 2, 663438]$ (GRH)
14.0.54806201791415627934647550207852544.1	x^14 + 924x^12 + 260876x^10 + 25565848x^8 + 883847888x^6 + 7575839040x^4 + 22222461184x^2 + 17460505216	\( -\,2^{21}\cdot 7^{25}\cdot 11^{7} \)	$C_{14}$ (as 14T1)	$[2, 10796132]$ (GRH)
14.0.74811057150444048927662152674983936.1	x^14 + 966x^12 + 285131x^10 + 29212967x^8 + 1055840093x^6 + 9461424210x^4 + 29015034244x^2 + 23833778129	\( -\,2^{14}\cdot 7^{25}\cdot 23^{7} \)	$C_{14}$ (as 14T1)	$[2, 7198024]$ (GRH)
14.0.30168560751294850704919637896198242304.1	x^14 + 889x^12 + 161798x^10 + 11282299x^8 + 360423714x^6 + 5186808270x^4 + 26879619977x^2 + 37756975921	\( -\,2^{14}\cdot 7^{7}\cdot 127^{13} \)	$C_{14}$ (as 14T1)	$[2, 12413528]$ (GRH)
14.0.474489902930063357496193840307474416087.2	x^14 - 812x^11 - 12586x^10 + 111244x^9 + 4778620x^8 + 14868764x^7 - 194794943x^6 - 607090988x^5 + 9763306924x^4 - 4870385744x^3 - 61788068160x^2 + 140686678272x + 1192124954624	\( -\,7^{25}\cdot 29^{12} \)	$C_{14}$ (as 14T1)	$[7, 4200679]$ (GRH)
14.0.13760207184971837367389621368916758066523.3	x^14 - 3451x^11 + 7308x^10 - 116928x^9 + 872291x^8 + 25631157x^7 - 22304016x^6 + 952727923x^5 + 661193736x^4 - 17074022049x^3 + 220567618782x^2 - 301664396124x + 157023868437	\( -\,7^{25}\cdot 29^{13} \)	$C_{14}$ (as 14T1)	$[11598916]$ (GRH)
14.0.53588606915566584613059849086223224055607.6	x^14 - 7224x^11 + 57190x^10 - 156520x^9 + 13355972x^8 - 137092600x^7 + 292188225x^6 - 6638516472x^5 + 89548734100x^4 - 104675735920x^3 - 330830535168x^2 - 18134414520320x + 89621816934400	\( -\,7^{25}\cdot 43^{12} \)	$C_{14}$ (as 14T1)	$[7, 4529959]$ (GRH)