Global number field search results

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Degree	Signature	Galois group	Class number	Class group
Regulator	Num. ramified primes	Ramified primes		Unramified primes
CM field	Discriminant		Root discriminant

Results (displaying all 13 matches)

Label	Polynomial	Discriminant	Galois group	Class group
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)
15.13.1057726077414501790899011.1	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)
15.13.5579770926439835512409088.1	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)
15.13.26481902053660782883834643.1	x^15 - 20x^13 - 14x^12 + 160x^11 + 224x^10 - 589x^9 - 1344x^8 + 668x^7 + 3521x^6 + 1424x^5 - 3080x^4 - 3241x^3 - 1008x^2 - 92x - 1	\( -\,401^{6}\cdot 6369171443 \)	15T86	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)
15.13.28457938438833256126762239.1	x^15 - 15x^13 - 17x^12 + 90x^11 + 204x^10 - 264x^9 - 918x^8 + 351x^7 + 1885x^6 - 81x^5 - 1671x^4 - 209x^3 + 441x^2 + 141x + 9	\( -\,3^{17}\cdot 53\cdot 401^{6} \)	15T86	Trivial (GRH)
15.13.1717569172270763261125085952.1	x^15 - 45x^13 - 30x^12 + 711x^11 + 948x^10 - 4436x^9 - 9504x^8 + 6300x^7 + 32288x^6 + 24948x^5 - 14184x^4 - 36384x^3 - 25920x^2 - 8640x - 1152	\( -\,2^{8}\cdot 3^{15}\cdot 881^{6} \)	15T90	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)
15.13.8064956293708945042260364032.1	x^15 - 46x^13 - 14x^12 + 744x^11 + 183x^10 - 5430x^9 + 2554x^8 + 27217x^7 - 28396x^6 - 115050x^5 + 36504x^4 + 215190x^3 + 47709x^2 - 118098x - 55404	\( -\,2^{8}\cdot 3^{3}\cdot 11^{6}\cdot 19^{4}\cdot 131^{6} \)	15T90	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)
15.13.3156517111211631327358745693227094922340642951.1	x^15 - 2x^14 - 23x^13 + 42x^12 + 182x^11 - 300x^10 - 614x^9 + 885x^8 + 918x^7 - 1113x^6 - 525x^5 + 508x^4 + 60x^3 - 65x^2 + x + 1	\( -\,13\cdot 17\cdot 23585458327\cdot 605580042504858452463228408656453 \)	15T104	Trivial (GRH)
15.13.6860105516825270659892317939580770575828595679.1	x^15 - 2x^14 - 23x^13 + 42x^12 + 182x^11 - 300x^10 - 614x^9 + 885x^8 + 918x^7 - 1112x^6 - 525x^5 + 508x^4 + 60x^3 - 66x^2 + x + 1	\( -\,277\cdot 140891\cdot 1754444023\cdot 100190895611918899269402449839 \)	15T104	Trivial (GRH)
15.13.77174683442309589098663731731426228356468718082330624000.1	x^15 - 1628x^13 - 5920x^12 + 1105179x^11 + 7903120x^10 - 388843381x^9 - 4223348520x^8 + 69563456700x^7 + 1121721226000x^6 - 4146108150000x^5 - 145380612000000x^4 - 422827275000000x^3 + 6657280500000000x^2 + 53977950000000000x + 119951000000000000	\( -\,2^{15}\cdot 5^{3}\cdot 7^{10}\cdot 13^{4}\cdot 1973^{2}\cdot 9227^{4}\cdot 9097717^{2} \)	15T101	Trivial (GRH)