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 12 matches)

Label	Polynomial	Discriminant	Galois group	Class group
15.5.9527712342331717571.1	x^15 - 2x^14 - 8x^13 + 17x^12 + 27x^11 - 63x^10 - 46x^9 + 131x^8 + 31x^7 - 154x^6 + 7x^5 + 95x^4 - 10x^3 - 31x^2 + 2x + 4	\( -\,23^{4}\cdot 32411^{3} \)	15T91	Trivial
15.5.34046877842531000000.1	x^15 - 3x^14 - 5x^13 + 25x^12 - 16x^11 - 46x^10 + 94x^9 - 29x^8 - 96x^7 + 107x^6 + 51x^5 - 191x^4 + 173x^3 - 78x^2 + 15x - 1	\( -\,2^{6}\cdot 5^{6}\cdot 32411^{3} \)	15T91	Trivial
15.3.3194005925718134055936.1	x^15 - 6x^13 - 4x^12 + 9x^11 + 12x^10 - 50x^9 - 108x^8 - 72x^7 - 16x^6 - 243x^5 - 810x^4 - 1080x^3 - 720x^2 - 240x - 32	\( 2^{10}\cdot 3^{16}\cdot 11^{3}\cdot 379^{3} \)	15T91	Trivial
15.3.16295544285146337272832.1	x^15 - 6x^13 - 4x^12 + 9x^11 + 12x^10 - 77x^9 - 162x^8 - 27x^7 + 192x^6 - 27x^5 - 714x^4 - 1064x^3 - 720x^2 - 240x - 32	\( 2^{10}\cdot 3^{16}\cdot 7177^{3} \)	15T91	Trivial
15.7.39876401007276214551552.1	x^15 - 4x^14 - 6x^13 + 63x^12 - 113x^11 - 102x^10 + 732x^9 - 1232x^8 + 734x^7 + 453x^6 - 804x^5 + 183x^4 - 46x^3 + 218x^2 - 53x + 3	\( 2^{10}\cdot 3^{8}\cdot 331^{3}\cdot 547^{3} \)	15T91	Trivial
15.9.327750627860810056940544.1	x^15 - 21x^13 - 22x^12 + 216x^11 + 438x^10 - 1155x^9 - 3384x^8 + 1827x^7 + 10638x^6 + 3987x^5 - 11112x^4 - 8556x^3 + 4320x^2 + 3744x - 608	\( -\,2^{10}\cdot 3^{20}\cdot 13^{3}\cdot 347^{3} \)	15T91	Trivial (GRH)
15.7.2142947516807204898849792.1	x^15 - 3x^13 - 2x^12 - 54x^11 - 72x^10 - 51x^9 - 54x^8 + 207x^7 + 640x^6 + 891x^5 + 1098x^4 + 1128x^3 + 720x^2 + 240x + 32	\( 2^{10}\cdot 3^{16}\cdot 36497^{3} \)	15T91	Trivial (GRH)
15.9.4798596942510120043666504704.1	x^15 - 36x^13 - 26x^12 + 495x^11 + 840x^10 - 3406x^9 - 9972x^8 + 10698x^7 + 49848x^6 + 9009x^5 - 81840x^4 - 69036x^3 + 52272x^2 + 34848x - 3872	\( -\,2^{10}\cdot 3^{20}\cdot 11^{4}\cdot 13^{3}\cdot 347^{3} \)	15T91	Trivial (GRH)
15.11.29334808557573827860354802688.1	x^15 - 33x^13 - 22x^12 + 63x^11 + 84x^10 + 4618x^9 + 9180x^8 - 13401x^7 - 50696x^6 - 93123x^5 - 160026x^4 - 186376x^3 - 121680x^2 - 40560x - 5408	\( 2^{10}\cdot 3^{20}\cdot 13^{2}\cdot 36497^{3} \)	15T91	Trivial (GRH)
15.15.33483554950112576544528000000.1	x^15 - 4x^14 - 82x^13 + 287x^12 + 2665x^11 - 7850x^10 - 44075x^9 + 105974x^8 + 393788x^7 - 760334x^6 - 1873870x^5 + 2794499x^4 + 4273937x^3 - 4193489x^2 - 3310349x + 236871	\( 2^{10}\cdot 3^{16}\cdot 5^{6}\cdot 36497^{3} \)	15T91	Trivial (GRH)
15.11.110920318379317587571477873524.1	x^15 - 33x^13 - 64x^12 - 90x^11 + 1248x^10 + 5806x^9 - 10512x^8 - 31521x^7 + 41392x^6 + 28314x^5 - 35190x^4 + 28312x^3 - 17136x^2 + 816x + 544	\( 2^{2}\cdot 3^{20}\cdot 17^{2}\cdot 31^{3}\cdot 9739^{3} \)	15T91	Trivial (GRH)
15.15.416762576016182015933206397952.1	x^15 - 96x^13 - 46x^12 + 3483x^11 + 2268x^10 - 63251x^9 - 42696x^8 + 626151x^7 + 391884x^6 - 3388707x^5 - 1845144x^4 + 9263884x^3 + 4127760x^2 - 9751392x - 3146976	\( 2^{10}\cdot 3^{20}\cdot 7^{4}\cdot 36497^{3} \)	15T91	Trivial (GRH)