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 4 matches)

Label	Polynomial	Discriminant	Galois group	Class group
21.3.10367263422675536780303271503.1	x^21 - 6x^20 - x^19 + 72x^18 - 100x^17 - 299x^16 + 733x^15 + 386x^14 - 2195x^13 + 634x^12 + 3126x^11 - 2357x^10 - 2090x^9 + 2868x^8 + 87x^7 - 1535x^6 + 673x^5 + 170x^4 - 243x^3 + 89x^2 - 15x + 1	\( -\,11^{4}\cdot 103^{4}\cdot 184607^{3} \)	21T130	Trivial (GRH)
21.3.143926122875821803405026699823.1	x^21 - 12x^19 - 4x^18 + 72x^17 + 21x^16 - 261x^15 - 72x^14 + 678x^13 + 58x^12 - 1062x^11 - 285x^10 + 513x^9 + 1188x^8 - 768x^7 - 2702x^6 + 792x^5 + 1485x^4 - 865x^3 - 342x^2 + 183x - 47	\( -\,3^{28}\cdot 184607^{3} \)	21T130	Trivial (GRH)
21.9.5249831164096086007511385454857.1	x^21 - 12x^19 - 12x^18 + 63x^17 + 63x^16 - 167x^15 - 18x^14 + 249x^13 + 133x^12 - 180x^11 - 1605x^10 - 24x^9 + 2187x^8 + 498x^7 + 232x^6 - 1215x^5 - 1710x^4 + 929x^3 + 765x^2 - 321x - 173	\( 3^{28}\cdot 71^{3}\cdot 8623^{3} \)	21T130	Trivial (GRH)
21.9.29357028753446882924668961925905914281.1	x^21 - 63x^19 - 4x^18 + 1683x^17 + 216x^16 - 24877x^15 - 5346x^14 + 221076x^13 + 76086x^12 - 1185372x^11 - 647136x^10 + 3493272x^9 + 3080592x^8 - 3545727x^7 - 6328004x^6 - 4869576x^5 - 126336x^4 + 2790672x^3 + 1272384x^2 - 282752	\( 3^{28}\cdot 47^{4}\cdot 59^{3}\cdot 10859^{3} \)	21T130	Trivial (GRH)