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 20 matches)

Label	Polynomial	Discriminant	Galois group	Class group
16.4.278674794952523776.1	x^16 - 6x^12 - 5x^8 + 10x^4 + 1	\( 2^{24}\cdot 359^{4} \)	16T1535	Trivial
16.4.384165447630585856.1	x^16 - 4x^14 + 2x^12 + 12x^10 - 25x^8 + 20x^6 - 2x^4 - 4x^2 + 1	\( 2^{24}\cdot 389^{4} \)	16T1535	Trivial
16.0.589754796014043136.1	x^16 + 7x^12 + 8x^8 + 11x^4 + 1	\( 2^{24}\cdot 433^{4} \)	16T1535	Trivial
16.0.1114699179810095104.2	x^16 - x^12 + 4x^8 + 3x^4 + 1	\( 2^{26}\cdot 359^{4} \)	16T1535	Trivial
16.0.1171041731378937856.1	x^16 + x^8 + x^4 + 1	\( 2^{28}\cdot 257^{4} \)	16T1535	Trivial
16.0.1783463924356612096.1	x^16 - 7x^14 + 23x^12 - 48x^10 + 68x^8 - 64x^6 + 40x^4 - 16x^2 + 4	\( 2^{24}\cdot 571^{4} \)	16T1535	Trivial
16.4.9436076736224690176.1	x^16 - 6x^12 + 13x^8 - 20x^4 + 16	\( 2^{28}\cdot 433^{4} \)	16T1535	Trivial
16.4.27548985049130991616.3	x^16 - 8x^12 - 10x^10 + 5x^8 + 26x^6 + 32x^4 + 14x^2 + 1	\( 2^{32}\cdot 283^{4} \)	16T1535	Trivial
16.0.408284614371353641216.1	x^16 + 13x^12 + 47x^8 + 50x^4 + 1	\( 2^{8}\cdot 35537^{4} \)	16T1535	Trivial
16.0.408284614371353641216.2	x^16 - x^15 + 3x^14 - 4x^13 + 9x^12 - 34x^11 + 32x^10 - 58x^9 + 78x^8 - 107x^7 + 170x^6 - 112x^5 + 142x^4 - 42x^3 + 19x^2 - 10x + 2	\( 2^{8}\cdot 35537^{4} \)	16T1535	Trivial
16.0.454903162973425656064.1	x^16 - x^15 + 2x^14 + 10x^13 - 10x^12 + 9x^11 + 47x^10 - 70x^9 + 6x^8 - 48x^7 + 167x^6 - 79x^5 - 8x^4 - 104x^3 + 154x^2 - 85x + 25	\( 2^{8}\cdot 23^{6}\cdot 331^{4} \)	16T1535	Trivial
16.8.454903162973425656064.1	x^16 - 2x^15 - 10x^14 + 20x^13 + 21x^12 - 6x^11 - 78x^10 - 149x^9 + 262x^8 + 354x^7 - 385x^6 - 424x^5 + 278x^4 + 273x^3 - 102x^2 - 53x + 1	\( 2^{8}\cdot 23^{6}\cdot 331^{4} \)	16T1535	Trivial
16.8.104520861279066532151296.1	x^16 - 4x^15 + 10x^13 + 5x^12 - 6x^11 - 18x^10 - 18x^9 - 88x^8 - 2x^7 + 1331x^6 - 2686x^5 + 1982x^4 - 460x^3 - 91x^2 + 44x - 3	\( 2^{16}\cdot 35537^{4} \)	16T1535	Trivial
16.8.104520861279066532151296.2	x^16 - 8x^15 + 20x^14 - 112x^12 + 308x^11 - 266x^10 - 540x^9 + 1424x^8 - 784x^7 - 1032x^6 + 2004x^5 - 914x^4 - 574x^3 + 879x^2 - 406x + 73	\( 2^{16}\cdot 35537^{4} \)	16T1535	Trivial
16.0.116455209721196967952384.1	x^16 - 4x^15 + 4x^14 - 12x^13 + 13x^12 + 54x^11 + 58x^10 + 62x^9 - 301x^8 - 270x^7 + 678x^6 + 194x^5 - 489x^4 + 22x^3 + 130x^2 - 32x + 5	\( 2^{16}\cdot 23^{6}\cdot 331^{4} \)	16T1535	$[2]$
16.8.116455209721196967952384.1	x^16 - 6x^15 + x^14 + 60x^13 - 115x^12 - 116x^11 + 463x^10 + 168x^9 - 1018x^8 - 354x^7 + 1255x^6 + 830x^5 - 1063x^4 - 884x^3 + 618x^2 + 296x - 131	\( 2^{16}\cdot 23^{6}\cdot 331^{4} \)	16T1535	Trivial (GRH)
16.0.13307764731675384304522756096.1	x^16 - 3x^15 - x^14 + 82x^13 - 1159x^12 + 1969x^11 - 2915x^10 - 22812x^9 + 649004x^8 - 338442x^7 + 12864832x^6 + 23813486x^5 + 150009831x^4 + 374059157x^3 + 1998258043x^2 - 2105620954x + 16042861628	\( 2^{24}\cdot 257^{4}\cdot 653^{4} \)	16T1535	$[2]$ (GRH)
16.0.13307764731675384304522756096.2	x^16 - 3x^15 + 18x^14 + 115x^13 + 114x^12 + 6557x^11 - 10932x^10 + 42281x^9 + 487271x^8 - 889884x^7 + 2560152x^6 - 5037856x^5 - 108688217x^4 - 98379265x^3 + 418620720x^2 - 450986573x + 11398824137	\( 2^{24}\cdot 257^{4}\cdot 653^{4} \)	16T1535	$[2]$ (GRH)
16.0.13307764731675384304522756096.3	x^16 - 3x^15 + 56x^14 + 69x^13 + 1678x^12 + 5781x^11 + 37474x^10 + 139787x^9 + 660655x^8 + 3059488x^7 + 3335124x^6 + 34822900x^5 - 58200277x^4 - 258867117x^3 - 157364690x^2 - 4407745227x + 10994598253	\( 2^{24}\cdot 257^{4}\cdot 653^{4} \)	16T1535	$[2]$ (GRH)
16.0.13307764731675384304522756096.4	x^16 - 6x^15 + 105x^14 - 408x^13 + 4652x^12 - 10890x^11 + 126961x^10 - 161292x^9 + 2575242x^8 - 1143834x^7 + 38538631x^6 + 6656512x^5 + 412202236x^4 + 148490330x^3 + 2954375151x^2 + 439070820x + 10083216917	\( 2^{24}\cdot 257^{4}\cdot 653^{4} \)	16T1535	$[2]$ (GRH)