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
15.5.28122063322027324931072.1	x^15 - 5x^14 + 10x^13 + 2x^12 - 43x^11 + 71x^10 - 52x^9 + 24x^8 - 12x^7 - 76x^6 + 160x^5 - 80x^4 - 96x^3 + 96x^2 - 32	\( -\,2^{10}\cdot 11^{12}\cdot 43\cdot 197\cdot 1033 \)	15T81	Trivial
15.5.36495998433430934447104.1	x^15 - 6x^13 - 12x^12 + 10x^11 + 40x^10 + 39x^9 - 6x^8 - 18x^7 - 56x^6 - 143x^5 - 182x^4 - 56x^3 + 80x^2 + 80x + 32	\( -\,2^{10}\cdot 11^{12}\cdot 11356201 \)	15T81	Trivial
15.9.46113809309420128201728.1	x^15 - 3x^13 - 2x^12 - 36x^11 - 48x^10 + 65x^9 + 162x^8 + 351x^7 + 672x^6 + 405x^5 - 522x^4 - 1032x^3 - 720x^2 - 240x - 32	\( -\,2^{10}\cdot 3^{15}\cdot 11^{12} \)	15T81	Trivial (GRH)
15.11.46113809309420128201728.1	x^15 - 18x^13 - 12x^12 + 90x^11 + 120x^10 + 13x^9 - 54x^8 - 522x^7 - 1304x^6 - 1053x^5 + 234x^4 + 984x^3 + 720x^2 + 240x + 32	\( 2^{10}\cdot 3^{15}\cdot 11^{12} \)	15T81	Trivial (GRH)
15.13.150447757952202123896219.1	x^15 - 20x^13 - 9x^12 + 160x^11 + 144x^10 - 612x^9 - 864x^8 + 944x^7 + 2269x^6 + 320x^5 - 2024x^4 - 1777x^3 - 560x^2 - 60x - 1	\( -\,11^{13}\cdot 23\cdot 109\cdot 1738307 \)	15T81	Trivial (GRH)
15.7.522874251292437641653529.1	x^15 - 5x^14 + 14x^13 - 25x^12 - 39x^11 + 325x^10 - 886x^9 + 1475x^8 - 714x^7 - 3448x^6 + 9908x^5 - 13758x^4 + 11749x^3 - 6069x^2 + 1604x - 131	\( 11^{12}\cdot 23\cdot 38281\cdot 189223 \)	15T81	Trivial (GRH)
15.9.1060617614116662948639744.1	x^15 - 15x^13 - 4x^12 + 90x^11 + 48x^10 - 290x^9 - 216x^8 + 585x^7 + 536x^6 - 783x^5 - 948x^4 + 428x^3 + 936x^2 + 336x + 32	\( -\,2^{10}\cdot 3^{15}\cdot 11^{12}\cdot 23 \)	15T81	Trivial (GRH)
15.7.1060617614116662948639744.1	x^15 - 15x^13 - 6x^12 + 90x^11 + 72x^10 - 282x^9 - 324x^8 + 513x^7 + 768x^6 - 567x^5 - 1206x^4 + 164x^3 + 1080x^2 + 480x - 32	\( 2^{10}\cdot 3^{15}\cdot 11^{12}\cdot 23 \)	15T81	Trivial (GRH)
15.11.1982893800305065512674304.1	x^15 - 15x^13 - 2x^12 + 90x^11 + 24x^10 - 330x^9 - 108x^8 + 945x^7 + 64x^6 - 1863x^5 + 750x^4 + 1492x^3 - 1368x^2 + 384x - 32	\( 2^{10}\cdot 3^{15}\cdot 11^{12}\cdot 43 \)	15T81	Trivial (GRH)
15.13.5579770926439835512409088.1	x^15 - 33x^13 - 22x^12 + 396x^11 + 528x^10 - 1903x^9 - 4158x^8 + 1683x^7 + 11264x^6 + 9207x^5 - 3630x^4 - 11000x^3 - 7920x^2 - 2640x - 352	\( -\,2^{10}\cdot 3^{15}\cdot 11^{14} \)	15T81	Trivial (GRH)
15.15.8975872169832325718143676224512.1	x^15 - 63x^13 - 42x^12 + 1548x^11 + 2064x^10 - 17807x^9 - 36990x^8 + 82503x^7 + 280288x^6 + 45441x^5 - 674082x^4 - 1046952x^3 - 712080x^2 - 237360x - 31648	\( 2^{10}\cdot 3^{15}\cdot 11^{12}\cdot 23^{2}\cdot 43^{2}\cdot 199 \)	15T81	Trivial (GRH)
15.15.464387904272354847090911272369152.1	x^15 - 78x^13 - 52x^12 + 2394x^11 + 3192x^10 - 35035x^9 - 72198x^8 + 219006x^7 + 701672x^6 - 63045x^5 - 2268102x^4 - 3393512x^3 - 2297520x^2 - 765840x - 102112	\( 2^{10}\cdot 3^{15}\cdot 11^{12}\cdot 23\cdot 43\cdot 3191^{2} \)	15T81	Trivial (GRH)