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 5 matches)

Label	Polynomial	Discriminant	Galois group	Class group
14.2.282346132215490560000000000.1	x^14 - 3x^13 - 5x^12 + 31x^11 - 50x^10 + 127x^9 - 55x^8 + 1003x^7 - 5194x^6 + 13043x^5 + 6647x^4 - 129703x^3 + 382419x^2 - 490216x + 319344	\( 2^{20}\cdot 3^{14}\cdot 5^{10}\cdot 7^{8} \)	14T62	Trivial (GRH)
14.6.27210071794374475776000000000000.1	x^14 - 6x^13 - 9x^12 + 404x^11 + 756x^10 - 744x^9 - 31226x^8 - 178104x^7 - 129651x^6 + 191106x^5 - 447273x^4 - 2482812x^3 + 1375542x^2 + 2905308x - 1000188	\( 2^{28}\cdot 3^{14}\cdot 5^{12}\cdot 7^{2}\cdot 11^{6} \)	14T62	Trivial (GRH)
14.2.93006752349548411550542007639356276736.1	x^14 - 52416x^5 - 1053696x - 5061888	\( 2^{16}\cdot 3^{12}\cdot 7^{14}\cdot 13^{14} \)	14T62	Trivial (GRH)
14.14.12082462805952683578833887544607885354840529275474033703346853825890523525763932307253207072895617326779140942034887593472026784080351332996854475050975704479877705399512513606726026903633577245444000000000000.1	x^14 - 2900730x^12 - 287910000x^11 + 3313325898225x^10 + 597401557200000x^9 - 1855964346085631250x^8 - 447630993322011000000x^7 + 517062546566176619531250x^6 + 144716607884926457572500000x^5 - 63938673030863212150078125000x^4 - 18637303238230533691855781250000x^3 + 2587399700316109318860370458984375x^2 + 773043792817583070706838466796875000x + 40095511130962225240189804491943359375	\( 2^{14}\cdot 3^{22}\cdot 5^{12}\cdot 7^{14}\cdot 19^{6}\cdot 197^{6}\cdot 199^{6}\cdot 2593^{6}\cdot 34963^{6}\cdot 560233^{6}\cdot 1072255949^{2}\cdot 6488895781911832501^{2} \)	14T62	n/a
14.10.103318334065426770765470197661413735479481944901632942974418171604331965573259563498841619061291062477630041009194956313095225461332708654891833432491165229458866561911760649155550195068503373410096128256000000.1	x^14 - 75054x^12 - 1377936x^11 + 2221160193x^10 + 73963665216x^9 - 32146732228590x^8 - 1435876427859264x^7 + 229281249311034354x^6 + 12030481855773499104x^5 - 708298583106976109136x^4 - 40091843709134882829360x^3 + 666759835809172158276111x^2 + 43071240857705358819374952x + 414212142950309582401202559	\( 2^{14}\cdot 3^{22}\cdot 5^{6}\cdot 7^{14}\cdot 23^{2}\cdot 211^{2}\cdot 68389^{6}\cdot 119737^{2}\cdot 67580323^{6}\cdot 332926921^{6}\cdot 65049457057236257^{2} \)	14T62	n/a