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
22.0.1371422143339955182918013386604257876419.1	x^22 - x^11 + 3	\( -\,3^{10}\cdot 11^{33} \)	22T11	Trivial (GRH)
22.0.22085756220567549162579756126980406366726963.1	x^22 - 33x^20 + 495x^18 - 4356x^16 + 24552x^14 - 91179x^12 - 81x^11 + 222156x^10 + 594x^9 - 343035x^8 + 3564x^7 + 313632x^6 - 31185x^5 - 147015x^4 + 53460x^3 + 29403x^2 - 18711x + 3159	\( -\,3^{21}\cdot 11^{32} \)	22T11	Trivial (GRH)
22.22.39113793049554550639626744281864455524059155087546195005633.1	x^22 - 66x^20 + 1881x^18 - 30294x^16 + 302940x^14 - 1945944x^12 - 130x^11 + 8027019x^10 + 4290x^9 - 20640906x^8 - 51480x^7 + 30961359x^6 + 270270x^5 - 23816430x^4 - 579150x^3 + 7144929x^2 + 347490x - 561087	\( 3^{10}\cdot 11^{32}\cdot 73^{11} \)	22T11	Trivial (GRH)
22.22.199123215915132850596583390027485698365466594244243490410993.1	x^22 - 330x^20 + 42669x^18 - 2784870x^16 + 100074348x^14 - 2070767160x^12 - 62767890x^11 + 25255546767x^10 + 2424565242x^9 - 180180897930x^8 - 34101623160x^7 + 712727063631x^6 + 211943243358x^5 - 1357714398150x^4 - 577327236750x^3 + 841782926853x^2 + 648146044458x + 122440026897	\( 3^{21}\cdot 11^{33}\cdot 31^{10} \)	22T11	Trivial (GRH)