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 16 matches)

Label	Polynomial	Discriminant	Galois group	Class group
15.1.761385642563101523968.1	x^15 - 5x^14 + 10x^13 - 8x^12 - 3x^11 + 11x^10 + 8x^9 - 46x^8 + 48x^7 - 32x^5 + 16x^4 + 16x^3 - 16x^2 + 32	\( -\,2^{18}\cdot 7\cdot 11\cdot 13^{9}\cdot 3557 \)	15T87	Trivial
15.1.9870558611889268633600.1	x^15 - 5x^13 - 10x^12 - 2x^11 - 20x^10 - 28x^9 + 4x^8 + 35x^7 + 4x^6 + 25x^5 + 34x^4 - 2x^3 - 20x^2 - 20	\( -\,2^{12}\cdot 5^{2}\cdot 13^{10}\cdot 699211 \)	15T87	Trivial
15.3.16634358650114795180032.1	x^15 - 2x^14 + 2x^13 - 9x^12 + 10x^11 - 8x^10 + 6x^9 - 8x^8 + 78x^7 - 46x^6 - 52x^5 + 12x^4 + 13x^3 - 24x^2 + 1	\( 2^{12}\cdot 13^{10}\cdot 167\cdot 419\cdot 421 \)	15T87	Trivial
15.3.1417915468893277522022400.1	x^15 - 15x^13 - 10x^12 - 18x^11 - 60x^10 - 184x^9 + 36x^8 + 183x^7 + 108x^6 - 945x^5 - 678x^4 - 262x^3 - 180x^2 - 20	\( 2^{12}\cdot 3^{15}\cdot 5^{2}\cdot 7\cdot 13^{10} \)	15T87	Trivial (GRH)
15.11.13931818106500000000000000.1	x^15 - 5x^14 - 15x^13 + 55x^12 - 5x^11 - 367x^10 + 365x^9 + 1255x^8 - 1015x^7 - 1825x^6 + 913x^5 + 1105x^4 - 285x^3 - 215x^2 + 35x + 5	\( 2^{14}\cdot 5^{15}\cdot 7^{6}\cdot 37^{2}\cdot 173 \)	15T87	Trivial (GRH)
15.5.56665935234850614192046080.1	x^15 - 15x^13 - 30x^12 + 54x^11 + 216x^10 + 238x^9 + 132x^8 + 161x^7 - 648x^6 - 2463x^5 - 3206x^4 - 1288x^3 + 720x^2 + 720x + 288	\( -\,2^{16}\cdot 3^{4}\cdot 5\cdot 53^{9}\cdot 647 \)	15T87	Trivial (GRH)
15.5.1294934099725229745485840384.1	x^15 - 5x^14 + 10x^13 - 15x^12 + 25x^11 - 31x^10 - 40x^9 + 175x^8 - 180x^7 - 64x^6 + 248x^5 - 124x^4 - 80x^3 + 80x^2 - 16	\( -\,2^{16}\cdot 37\cdot 53^{9}\cdot 161839 \)	15T87	Trivial (GRH)
15.13.3102998587031864529297801216.1	x^15 - 15x^13 - 3x^12 + 90x^11 + 36x^10 - 278x^9 - 162x^8 + 477x^7 + 338x^6 - 459x^5 - 327x^4 + 232x^3 + 126x^2 - 48x - 12	\( -\,2^{16}\cdot 3^{15}\cdot 53^{9} \)	15T87	Trivial (GRH)
15.9.50068967077842268536000000000.1	x^15 - 17x^13 - 89x^12 - 6x^11 + 2412x^10 - 250x^9 - 18072x^8 + 10091x^7 + 32534x^6 - 1671x^5 - 39915x^4 + 21349x^3 - 5292x^2 - 28493x + 43	\( -\,2^{12}\cdot 3^{16}\cdot 5^{9}\cdot 23\cdot 43^{6} \)	15T87	Trivial (GRH)
15.11.133377494418846899377180737536.1	x^15 - 20x^13 - 18x^12 + 160x^11 + 288x^10 - 525x^9 - 1728x^8 - 100x^7 + 4286x^6 + 4496x^5 - 2032x^4 - 6975x^3 - 5152x^2 - 1540x - 144	\( 2^{15}\cdot 53^{9}\cdot 109\cdot 11316791 \)	15T87	Trivial (GRH)
15.7.233416994199210500000000000000.1	x^15 - 20x^13 - 30x^12 + 140x^11 + 500x^10 - 1200x^9 - 2200x^8 + 5300x^7 + 20400x^6 - 12600x^5 - 29000x^4 + 110500x^3 + 8000x^2 - 39500x + 500	\( 2^{14}\cdot 5^{15}\cdot 7^{6}\cdot 3968023429 \)	15T87	Trivial (GRH)
15.9.395638255629389500000000000000.1	x^15 - 20x^13 - 20x^12 + 160x^11 + 320x^10 - 500x^9 - 1920x^8 - 400x^7 + 4720x^6 + 5696x^5 - 1920x^4 - 8560x^3 - 6400x^2 - 1600x - 16	\( -\,2^{14}\cdot 5^{15}\cdot 7^{6}\cdot 13\cdot 517364567 \)	15T87	Trivial (GRH)
15.7.1722345634229351422033015574528.1	x^15 - 20x^13 - 23x^12 + 160x^11 + 368x^10 - 455x^9 - 2208x^8 - 940x^7 + 5251x^6 + 7856x^5 - 792x^4 - 10957x^3 - 10192x^2 - 3532x - 289	\( 2^{12}\cdot 23\cdot 53^{9}\cdot 5540509427 \)	15T87	Trivial (GRH)
15.13.1726328604054922875000000000000.1	x^15 - 45x^13 - 75x^12 + 450x^11 + 1320x^10 + 1230x^9 - 90x^8 - 15165x^7 - 30560x^6 + 41355x^5 + 89985x^4 - 65975x^3 - 74970x^2 + 62925x - 9587	\( -\,2^{12}\cdot 3^{19}\cdot 5^{15}\cdot 7^{6}\cdot 101 \)	15T87	Trivial (GRH)
15.15.4973877463168144125000000000000.1	x^15 - 75x^13 - 35x^12 + 2070x^11 + 1860x^10 - 25260x^9 - 32760x^8 + 125715x^7 + 216410x^6 - 163251x^5 - 484425x^4 - 219405x^3 + 84420x^2 + 81765x + 15101	\( 2^{12}\cdot 3^{20}\cdot 5^{15}\cdot 7^{6}\cdot 97 \)	15T87	Trivial (GRH)
15.15.4973877463168144125000000000000.2	x^15 - 60x^13 - 20x^12 + 1350x^11 + 900x^10 - 14180x^9 - 14760x^8 + 68520x^7 + 104340x^6 - 111204x^5 - 281160x^4 - 83720x^3 + 136080x^2 + 105840x + 21168	\( 2^{12}\cdot 3^{20}\cdot 5^{15}\cdot 7^{6}\cdot 97 \)	15T87	Trivial (GRH)