Number field search results

Note: Search results may be incomplete. Given $p$-adic completions contain an unramified field and completions are only searched for ramified primes.

Results (unique match)

  Download displayed columns for results to

Label	Polynomial	Degree	Signature	Discriminant	Ram. prime count	Root discriminant	Galois root discriminant	CM field	Galois	Monogenic	Galois group	Class group	Narrow class group	Unit group torsion	Unit group rank	Regulator
23.3.121...973.1	$x^{23} - 3 x^{21} - 6 x^{20} + x^{19} + 17 x^{18} + 18 x^{17} - 10 x^{16} - 43 x^{15} - 25 x^{14} + 33 x^{13} + 60 x^{12} + 11 x^{11} - 54 x^{10} - 47 x^{9} + 12 x^{8} + 44 x^{7} + 15 x^{6} - 17 x^{5} - 16 x^{4} + 6 x^{2} + x - 1$	$23$	(3, 10)	$7\cdot 41\cdot 599\cdot 7069315563547560848845133621$	$4$	$27.445087043$	$3.4861257098334132e+16$			?	$S_{23}$ (as 23T7)	trivial	trivial	$2$	$12$	$53774282.4892$

  Download displayed columns for results to