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
15.3.3499598836464091136.1	x^15 - 3x^14 + x^13 - x^12 + 6x^11 - 14x^9 + 42x^8 - 17x^7 - 17x^6 + 51x^5 - 15x^4 - 2x^3 - 8x^2 - 10x + 2	\( 2^{20}\cdot 17^{6}\cdot 37^{2}\cdot 101 \)	15T90	Trivial
15.3.18906525196850561024.1	x^15 - 4x^14 - 2x^13 + 24x^12 - 10x^11 - 56x^10 + 42x^9 + 64x^8 - 60x^7 - 60x^6 + 80x^5 + 28x^4 - 86x^3 + 44x^2 - 4	\( 2^{22}\cdot 17^{6}\cdot 43^{2}\cdot 101 \)	15T90	Trivial
15.1.1002615413373296181248.1	x^15 - 2x^14 + 2x^12 + 4x^11 + 8x^10 - 16x^9 - 40x^8 + 24x^7 + 80x^6 - 16x^5 - 80x^4 + 4x^3 + 40x^2 - 8	\( -\,2^{22}\cdot 17^{6}\cdot 47\cdot 210709 \)	15T90	Trivial
15.1.2289096080337479401472.1	x^15 - 5x^14 + 12x^13 - 14x^12 + 14x^11 - 24x^10 + 54x^9 - 42x^8 + 36x^7 - 20x^6 + 44x^5 - 64x^4 + 22x^3 - 14x^2 - 8	\( -\,2^{23}\cdot 11\cdot 17^{6}\cdot 1027751 \)	15T90	Trivial
15.9.349046216993499621221376.1	x^15 - 15x^13 - x^12 + 79x^11 + 25x^10 - 219x^9 - 173x^8 + 611x^7 + 265x^6 - 1279x^5 + 531x^4 + 434x^3 - 303x^2 + 44x + 4	\( -\,2^{10}\cdot 3^{6}\cdot 881^{6} \)	15T90	Trivial
15.9.3141415952941496590992384.1	x^15 - 15x^13 - 4x^12 + 90x^11 + 48x^10 - 279x^9 - 216x^8 + 486x^7 + 480x^6 - 486x^5 - 612x^4 + 211x^3 + 432x^2 + 96x - 16	\( -\,2^{10}\cdot 3^{8}\cdot 881^{6} \)	15T90	Trivial (GRH)
15.5.309750028898725271546642432.1	x^15 - 5x^13 - 10x^12 - x^11 - 4x^10 + 14x^9 + 108x^8 + 216x^7 + 144x^6 - 4x^5 - 40x^4 - 160x^3 - 320x^2 - 320x - 128	\( -\,2^{14}\cdot 881^{6}\cdot 40433 \)	15T90	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)
15.13.8064956293708945042260364032.1	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)
15.5.17352936577734560129127436288.1	x^15 - 5x^14 + 10x^13 - 10x^12 + 5x^11 - x^10 - 18x^9 + 54x^8 - 54x^7 + 16x^6 + 4x^5 - 2x^4 + 20x^3 - 20x^2 + 8	\( -\,2^{12}\cdot 47\cdot 263\cdot 733\cdot 881^{6} \)	15T90	Trivial (GRH)
15.11.126641586691841137969338115072.1	x^15 - 20x^13 - 39x^12 + 160x^11 + 624x^10 - 173x^9 - 3744x^8 - 4324x^7 + 7911x^6 + 21392x^5 + 6600x^4 - 26128x^3 - 33168x^2 - 15040x - 2304	\( 2^{10}\cdot 881^{6}\cdot 3769\cdot 70177 \)	15T90	Trivial (GRH)
15.11.164886640537993273068008251392.1	x^15 - 15x^13 - 7x^12 + 90x^11 + 84x^10 - 291x^9 - 378x^8 + 594x^7 + 822x^6 - 810x^5 - 963x^4 + 523x^3 + 594x^2 + 132x + 8	\( 2^{13}\cdot 3^{16}\cdot 881^{6} \)	15T90	Trivial (GRH)
15.7.479201799063542949853898980608.1	x^15 + 15x^13 - 10x^12 - 9x^11 + 12x^10 - 760x^9 + 1512x^8 - 2628x^7 + 4544x^6 - 1404x^5 - 7800x^4 + 12640x^3 - 8640x^2 + 2880x - 384	\( 2^{8}\cdot 3^{17}\cdot 31\cdot 881^{6} \)	15T90	Trivial (GRH)
15.7.879395416202630789696044007424.1	x^15 - 15x^13 - 2x^12 + 90x^11 + 24x^10 - 330x^9 - 108x^8 + 945x^7 + 160x^6 - 1863x^5 + 174x^4 + 2036x^3 - 504x^2 - 1248x + 384	\( 2^{17}\cdot 3^{15}\cdot 881^{6} \)	15T90	Trivial (GRH)
15.15.381900142815177541506122976482304.1	x^15 - 90x^13 - 155x^12 + 2268x^11 + 5082x^10 - 22357x^9 - 52092x^8 + 92664x^7 + 192551x^6 - 169416x^5 - 258588x^4 + 114678x^3 + 102240x^2 - 22536x - 1372	\( 2^{10}\cdot 3^{20}\cdot 11^{6}\cdot 29\cdot 113^{6} \)	15T90	Trivial (GRH)
15.15.596718973148714908603317150753600.1	x^15 - 90x^13 - 47x^12 + 2943x^11 + 3150x^10 - 41059x^9 - 67689x^8 + 208050x^7 + 505457x^6 - 128169x^5 - 1147200x^4 - 1017822x^3 - 210555x^2 + 90450x + 31060	\( 2^{6}\cdot 3^{20}\cdot 5^{2}\cdot 11^{6}\cdot 29\cdot 113^{6} \)	15T90	Trivial (GRH)