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 12 matches)

Label	Polynomial	Discriminant	Galois group	Class group
16.0.1501445753139111328125.4	x^16 - 7x^15 + 33x^14 - 106x^13 + 271x^12 - 557x^11 + 961x^10 - 1413x^9 + 1760x^8 - 1877x^7 + 1656x^6 - 1190x^5 + 693x^4 - 248x^3 + 41x^2 + 20x + 11	\( 3^{6}\cdot 5^{11}\cdot 59^{6} \)	16T937	Trivial
16.0.1501445753139111328125.5	x^16 - 2x^15 + 5x^14 - 4x^13 + 14x^12 - 13x^11 + 57x^10 - 61x^9 + 88x^8 - 31x^7 + 154x^6 - 71x^5 + 53x^4 + 12x^3 + 12x^2 + 18x + 9	\( 3^{6}\cdot 5^{11}\cdot 59^{6} \)	16T937	Trivial
16.4.5226532666677246533203125.1	x^16 - 4x^15 + 8x^14 - 13x^13 + 64x^12 - 283x^11 + 576x^10 - 589x^9 - 105x^8 + 766x^7 - 531x^6 - 275x^5 + 547x^4 + 139x^3 - 79x^2 + 34x - 11	\( 3^{6}\cdot 5^{11}\cdot 59^{8} \)	16T937	Trivial (GRH)
16.4.5226532666677246533203125.2	x^16 - 4x^15 + 4x^14 + 6x^13 + 23x^12 - 81x^11 - 70x^10 + 212x^9 + 467x^8 - 798x^7 - 1506x^6 + 1633x^5 + 889x^4 + 3560x^3 - 8885x^2 + 3325x + 1225	\( 3^{6}\cdot 5^{11}\cdot 59^{8} \)	16T937	Trivial (GRH)
16.4.9500208482000000000000000.1	x^16 + 10x^14 + 10x^12 - 405x^10 - 2360x^8 - 3625x^6 + 3390x^4 + 12915x^2 + 8405	\( 2^{16}\cdot 5^{15}\cdot 41^{6} \)	16T937	Trivial (GRH)
16.4.9500208482000000000000000.2	x^16 - 5x^14 - 65x^12 + 330x^10 + 640x^8 - 2080x^6 - 4980x^4 - 3075x^2 + 8405	\( 2^{16}\cdot 5^{15}\cdot 41^{6} \)	16T937	Trivial (GRH)
16.0.3245499096990365116593765338925510950912.1	x^16 + 1040x^14 + 413632x^12 + 81233056x^10 + 8399650146x^8 + 453293070296x^6 + 12271932633428x^4 + 147376666008656x^2 + 526630603644098	\( 2^{67}\cdot 17^{6}\cdot 977^{4} \)	16T937	$[2, 2, 2, 2, 2, 17397908]$ (GRH)
16.16.3245499096990365116593765338925510950912.1	x^16 - 960x^14 + 360652x^12 - 68042280x^10 + 6889778086x^8 - 372528575880x^6 + 10181246855308x^4 - 123532592678512x^2 + 526630603644098	\( 2^{67}\cdot 17^{6}\cdot 977^{4} \)	16T937	$[2, 2]$ (GRH)
16.8.3245499096990365116593765338925510950912.1	x^16 + 272x^14 - 81140x^12 - 9455408x^10 + 1098627660x^8 + 105806192448x^6 - 1502825730064x^4 - 142557119271712x^2 + 2106522414576392	\( 2^{67}\cdot 17^{6}\cdot 977^{4} \)	16T937	$[2, 2, 2]$ (GRH)
16.0.3245499096990365116593765338925510950912.2	x^16 + 1080x^14 + 445108x^12 + 89721256x^10 + 9481842342x^8 + 527214969352x^6 + 14588368338164x^4 + 174011003239136x^2 + 526630603644098	\( 2^{67}\cdot 17^{6}\cdot 977^{4} \)	16T937	$[2, 2, 2, 2, 2, 13352508]$ (GRH)
16.16.3245499096990365116593765338925510950912.2	x^16 - 1136x^14 + 517764x^12 - 122203072x^10 + 16124860236x^8 - 1193982821024x^6 + 46480812563696x^4 - 775693364293408x^2 + 2106522414576392	\( 2^{67}\cdot 17^{6}\cdot 977^{4} \)	16T937	$[2, 2]$ (GRH)
16.8.3245499096990365116593765338925510950912.2	x^16 + 776x^14 + 100792x^12 - 34006720x^10 - 5052241000x^8 + 454984179136x^6 + 20442712327776x^4 - 961880064552192x^2 + 8426089658305568	\( 2^{67}\cdot 17^{6}\cdot 977^{4} \)	16T937	$[2, 2, 2]$ (GRH)