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 24 matches)

Label	Polynomial	Discriminant	Galois group	Class group
15.1.57477829056511319.1	x^15 - 2x^14 + 3x^13 - 3x^12 - 3x^11 + 6x^10 - 14x^9 + 4x^8 - 9x^7 - 7x^6 + 7x^5 - 15x^4 + 4x^3 - 4x^2 + 2x - 1	\( -\,1609^{3}\cdot 13798511 \)	15T93	Trivial
15.1.1088145913333210475.1	x^15 - x^14 + 6x^13 - 8x^12 + 25x^11 - 40x^10 + 61x^9 - 74x^8 + 78x^7 - 83x^6 + 82x^5 - 36x^4 - 14x^3 + 35x^2 - 20x + 5	\( -\,5^{2}\cdot 17^{4}\cdot 43\cdot 2297^{3} \)	15T93	Trivial
15.5.2375619759167837184.1	x^15 - 5x^14 + 7x^13 - 2x^12 + 11x^11 - 42x^10 + 54x^9 - 28x^8 + 39x^7 - 96x^6 + 36x^5 + 3x^4 + 7x^3 + 54x^2 + 19x + 1	\( -\,2^{10}\cdot 3^{9}\cdot 4903^{3} \)	15T93	Trivial
15.9.3534005780678716416.1	x^15 - 4x^13 - 2x^12 + 5x^11 - 19x^10 - 47x^9 + 51x^8 + 90x^7 - 72x^6 - 62x^5 + 57x^4 + 19x^3 - 15x^2 - 2x + 1	\( -\,2^{10}\cdot 3^{5}\cdot 61^{3}\cdot 397^{3} \)	15T93	Trivial
15.3.4475148976045136896.1	x^15 + 5x^13 - 10x^12 + 9x^11 - 36x^10 + 41x^9 - 30x^8 + 58x^7 - 24x^6 - 49x^5 + 74x^4 - 72x^3 + 80x^2 - 80x + 32	\( 2^{10}\cdot 13^{3}\cdot 347^{3}\cdot 47609 \)	15T93	Trivial
15.3.61205001051376438272.1	x^15 - 3x^13 - 2x^12 - 9x^11 - 12x^10 + 23x^9 + 54x^8 + 36x^7 + 8x^6 - 243x^5 - 810x^4 - 1080x^3 - 720x^2 - 240x - 32	\( 2^{10}\cdot 3^{15}\cdot 1609^{3} \)	15T93	Trivial
15.3.61205001051376438272.2	x^15 - 15x^13 - 4x^12 + 90x^11 + 48x^10 - 270x^9 - 216x^8 + 405x^7 + 456x^6 - 243x^5 - 468x^4 + 216x^2 - 32	\( 2^{10}\cdot 3^{15}\cdot 1609^{3} \)	15T93	Trivial
15.5.81054473740791453091.1	x^15 - 5x^14 + 9x^13 - 8x^12 + 14x^11 - 37x^10 + 67x^9 - 149x^8 + 274x^7 - 274x^6 + 183x^5 - 117x^4 - 51x^3 + 171x^2 - 70x - 7	\( -\,7^{3}\cdot 53\cdot 1217^{3}\cdot 2473633 \)	15T93	Trivial
15.3.911137003994932702208.1	x^15 - x^13 + 10x^11 - 7x^10 - 2x^9 - 2x^8 + 36x^7 - 68x^6 + 32x^5 + 8x^4 - 112x^3 + 64x^2 - 32	\( 2^{10}\cdot 13^{3}\cdot 347^{3}\cdot 751\cdot 12907 \)	15T93	Trivial
15.7.1348768015888107230208.1	x^15 - 15x^13 - 10x^12 + 72x^11 + 96x^10 - 103x^9 - 270x^8 - 99x^7 + 176x^6 + 459x^5 + 906x^4 + 1096x^3 + 720x^2 + 240x + 32	\( 2^{10}\cdot 3^{15}\cdot 13^{3}\cdot 347^{3} \)	15T93	Trivial (GRH)
15.7.1731826804433353307136.1	x^15 - 6x^13 - 6x^12 + 27x^11 + 12x^10 - 88x^9 + 54x^8 - 72x^7 + 408x^6 - 297x^5 - 474x^4 + 616x^3 - 72x^2 - 144x + 32	\( 2^{10}\cdot 3^{15}\cdot 4903^{3} \)	15T93	Trivial (GRH)
15.9.70458445469175544329419.1	x^15 - 20x^13 - 2x^12 + 160x^11 + 32x^10 - 639x^9 - 192x^8 + 1268x^7 + 508x^6 - 976x^5 - 480x^4 - 60x^3 - 64x^2 - 16x - 1	\( -\,13^{4}\cdot 23\cdot 347^{3}\cdot 2567103551 \)	15T93	Trivial (GRH)
15.9.82869195291086460173443.1	x^15 - 20x^13 - 3x^12 + 160x^11 + 48x^10 - 637x^9 - 288x^8 + 1244x^7 + 764x^6 - 880x^5 - 736x^4 - 187x^3 - 64x^2 - 20x - 1	\( -\,4903^{3}\cdot 38569\cdot 18229261 \)	15T93	Trivial (GRH)
15.5.174837402604040846224384.1	x^15 - 5x^14 + 10x^13 - 10x^12 + 5x^11 - x^10 - 24x^9 + 72x^8 - 72x^7 + 48x^5 - 24x^4 + 32x^3 - 32x^2 + 32	\( -\,2^{10}\cdot 17\cdot 61^{3}\cdot 397^{3}\cdot 647\cdot 1093 \)	15T93	Trivial
15.5.192426600214722443506688.1	x^15 - 2x^13 - 4x^12 - 3x^11 - 12x^10 - 6x^9 + 36x^8 + 72x^7 + 48x^6 - x^5 - 10x^4 - 40x^3 - 80x^2 - 80x - 32	\( -\,2^{10}\cdot 61^{3}\cdot 149\cdot 397^{3}\cdot 88801 \)	15T93	Trivial
15.9.208679507343297525648384.1	x^15 - 15x^13 - 10x^12 + 90x^11 + 120x^10 - 254x^9 - 540x^8 + 261x^7 + 1120x^6 + 189x^5 - 1050x^4 - 512x^3 + 360x^2 + 240x + 32	\( -\,2^{10}\cdot 3^{15}\cdot 61^{3}\cdot 397^{3} \)	15T93	Trivial (GRH)
15.7.208679507343297525648384.1	x^15 + 9x^13 - 6x^12 - 9x^11 + 12x^10 - 139x^9 + 270x^8 - 180x^7 + 40x^6 + 243x^5 - 810x^4 + 1080x^3 - 720x^2 + 240x - 32	\( 2^{10}\cdot 3^{15}\cdot 61^{3}\cdot 397^{3} \)	15T93	Trivial
15.7.1043397536716487628241920.1	x^15 - 15x^13 - 10x^12 + 90x^11 + 120x^10 - 250x^9 - 540x^8 + 225x^7 + 1128x^6 + 297x^5 - 1098x^4 - 684x^3 + 432x^2 + 432x + 32	\( 2^{10}\cdot 3^{15}\cdot 5\cdot 61^{3}\cdot 397^{3} \)	15T93	Trivial (GRH)
15.13.1057726077414501790899011.1	x^15 - 20x^13 - 10x^12 + 160x^11 + 160x^10 - 607x^9 - 960x^8 + 884x^7 + 2520x^6 + 560x^5 - 2240x^4 - 2100x^3 - 640x^2 - 48x - 1	\( -\,61^{3}\cdot 107\cdot 397^{3}\cdot 601\cdot 1158121 \)	15T93	Trivial (GRH)
15.11.2539789649549279880118272.1	x^15 - 6x^13 - 2x^12 - 27x^11 + 24x^10 + 107x^9 + 144x^8 + 249x^7 - 934x^6 - 819x^5 + 1164x^4 + 404x^3 - 360x^2 - 48x + 32	\( 2^{15}\cdot 3^{13}\cdot 36497^{3} \)	15T93	Trivial (GRH)
15.11.5216987683582438141209600.1	x^15 - 15x^13 - 10x^12 + 36x^11 + 48x^10 + 313x^9 + 594x^8 - 981x^7 - 3584x^6 - 2457x^5 + 2418x^4 + 5128x^3 + 3600x^2 + 1200x + 160	\( 2^{10}\cdot 3^{15}\cdot 5^{2}\cdot 61^{3}\cdot 397^{3} \)	15T93	Trivial (GRH)
15.13.27476431554422437828264699.1	x^15 - 20x^13 - 10x^12 + 160x^11 + 160x^10 - 609x^9 - 960x^8 + 908x^7 + 2525x^6 + 464x^5 - 2280x^4 - 1973x^3 - 560x^2 - 44x - 1	\( -\,13\cdot 59\cdot 1451\cdot 36497^{3}\cdot 507839 \)	15T93	Trivial (GRH)
15.15.428215667734040018945816133.1	x^15 - 39x^13 - 34x^12 + 531x^11 + 789x^10 - 2982x^9 - 5922x^8 + 6669x^7 + 18631x^6 - 2295x^5 - 23463x^4 - 7569x^3 + 7290x^2 + 2151x - 831	\( 3^{23}\cdot 19^{3}\cdot 37\cdot 2617^{3} \)	15T93	Trivial (GRH)
15.15.260535738879584930879430478848.1	x^15 - 51x^13 - 34x^12 + 999x^11 + 1332x^10 - 8871x^9 - 18630x^8 + 28404x^7 + 106104x^6 + 43011x^5 - 171126x^4 - 284616x^3 - 195120x^2 - 65040x - 8672	\( 2^{10}\cdot 3^{15}\cdot 17\cdot 61^{3}\cdot 271^{2}\cdot 397^{3} \)	15T93	Trivial (GRH)