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 16 matches)

Label	Polynomial	Discriminant	Galois group	Class group
15.1.136592086331204099072.1	x^15 - 5x^14 + 10x^13 - 10x^12 + 5x^11 - x^10 - 4x^9 + 12x^8 - 12x^7 - 12x^6 + 32x^5 - 16x^4 - 32x^3 + 32x^2 - 32	\( -\,2^{10}\cdot 47^{6}\cdot 179\cdot 257\cdot 269 \)	15T86	Trivial
15.1.147076517543279746048.1	x^15 - 2x^13 - 4x^12 + 2x^11 + 8x^10 + 7x^9 - 6x^8 - 12x^7 - 8x^6 + x^5 + 10x^4 + 40x^3 + 80x^2 + 80x + 32	\( -\,2^{10}\cdot 11\cdot 47^{6}\cdot 1211333 \)	15T86	Trivial
15.9.356254943672084924883.1	x^15 - x^14 - x^13 - 10x^12 - x^11 + 10x^10 + 56x^9 + 63x^8 - 50x^7 - 211x^6 - 184x^5 + 188x^4 + 219x^3 + 25x^2 - 18x - 3	\( -\,3\cdot 13^{4}\cdot 401^{6} \)	15T86	Trivial
15.3.4942829159689735530997.1	x^15 + 8x^13 - 5x^12 + 32x^11 - 32x^10 + 74x^9 - 96x^8 + 48x^7 - 138x^6 - 928x^5 - 32x^4 + 69x^3 - 32x^2 + 8x - 1	\( 11^{2}\cdot 47^{6}\cdot 2939\cdot 1289447 \)	15T86	Trivial (GRH)
15.11.6220372723292065649664.1	x^15 - 5x^14 - 6x^13 + 68x^12 - 58x^11 - 251x^10 + 376x^9 + 413x^8 - 851x^7 - 378x^6 + 989x^5 + 238x^4 - 605x^3 - 123x^2 + 152x + 39	\( 2^{10}\cdot 3\cdot 401^{6}\cdot 487 \)	15T86	Trivial
15.3.6744644812614709711861.1	x^15 - 20x^13 - x^12 + 160x^11 + 16x^10 - 640x^9 - 96x^8 + 1280x^7 + 249x^6 - 1024x^5 - 200x^4 - 5x^3 - 112x^2 + 20x - 1	\( 47^{6}\cdot 625708329109 \)	15T86	Trivial (GRH)
15.9.12274698536106109012992.1	x^15 - 4x^14 - 5x^13 + 43x^12 - 64x^11 - 63x^10 + 340x^9 - 375x^8 - 161x^7 + 842x^6 - 821x^5 + 86x^4 + 384x^3 - 294x^2 + 117x - 27	\( -\,2^{10}\cdot 3\cdot 31^{2}\cdot 401^{6} \)	15T86	Trivial
15.5.27934199478110364632064.1	x^15 + 4x^13 - 19x^12 + 15x^11 - 95x^10 + 119x^9 - 195x^8 + 703x^7 - 390x^6 + 615x^5 - 946x^4 - 186x^3 - 384x^2 - 146x + 157	\( -\,2^{10}\cdot 3^{8}\cdot 401^{6} \)	15T86	Trivial
15.7.83802598434331093896192.1	x^15 - 9x^13 - 6x^12 - 36x^11 - 48x^10 + 119x^9 + 270x^8 + 261x^7 + 256x^6 - 27x^5 - 714x^4 - 1064x^3 - 720x^2 - 240x - 32	\( 2^{10}\cdot 3^{9}\cdot 401^{6} \)	15T86	Trivial
15.11.6788010473180818605591552.1	x^15 - 18x^13 - 12x^12 + 81x^11 + 108x^10 + 117x^9 + 162x^8 - 783x^7 - 2352x^6 - 1647x^5 + 1374x^4 + 3064x^3 + 2160x^2 + 720x + 96	\( 2^{10}\cdot 3^{13}\cdot 401^{6} \)	15T86	Trivial (GRH)
15.5.24061138260758138083042304.1	x^15 - 10x^13 - 9x^12 + 128x^11 + 93x^10 - 642x^9 - 542x^8 + 1428x^7 + 1012x^6 - 2264x^5 - 408x^4 + 752x^3 + 1344x^2 - 864	\( -\,2^{10}\cdot 13\cdot 401^{6}\cdot 434717 \)	15T86	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)
15.13.28457938438833256126762239.1	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)
15.7.44499179768629810858877952.1	x^15 - 15x^13 - 4x^12 + 90x^11 + 48x^10 - 306x^9 - 216x^8 + 729x^7 + 656x^6 - 1215x^5 - 1668x^4 + 620x^3 + 2016x^2 + 1056x + 96	\( 2^{10}\cdot 3^{11}\cdot 59\cdot 401^{6} \)	15T86	Trivial (GRH)
15.15.401095849317140421258328161.1	x^15 - 48x^13 - 4x^12 + 720x^11 - 111x^10 - 4259x^9 + 1809x^8 + 10989x^7 - 7125x^6 - 11826x^5 + 10260x^4 + 3483x^3 - 4617x^2 + 486x + 243	\( 3^{19}\cdot 83\cdot 401^{6} \)	15T86	Trivial (GRH)
15.15.914235065331822156454227288032256.1	x^15 - 63x^13 - 42x^12 + 1539x^11 + 2052x^10 - 17460x^9 - 36288x^8 + 78435x^7 + 268296x^6 + 52785x^5 - 614658x^4 - 961448x^3 - 654480x^2 - 218160x - 29088	\( 2^{10}\cdot 3^{17}\cdot 101^{2}\cdot 163\cdot 401^{6} \)	15T86	Trivial (GRH)