Group GAP4(64,162)

Name: (C2 x (C4 : C4)) : C2
Maximal quotients:GAP4(32,30) GAP4(32,40) GAP4(32,43)
Real polynomial:

x^64-384*x^62+67824*x^60-7342848*x^58+547863768*x^56-30027106944*x^54+125805\
1825296*x^52-41393611243008*x^50+1090236714223356*x^48-23308570582358400*x^4\
6+408681879648954480*x^44-5921254294760459520*x^42+71278257310955451432*x^40\
-715503846314854182528*x^38+6002391467500381327248*x^36-42117102959025351269\
376*x^34+247079234321618141995686*x^32-1209902744401590173286528*x^30+493122\
8139035209114085712*x^28-16658236733780980412626176*x^26+4637747755737868073\
3183592*x^24-105624750930842113644735360*x^22+194912690806327226897697840*x^\
20-287829899404701762116021760*x^18+334629848891036619980305596*x^16-2996228\
76771666672186090624*x^14+200360276863366164939230544*x^12-95630986958268538\
507039488*x^10+30316131153006054962571288*x^8-5613560537739239578852224*x^6+\
458565527333191887719856*x^4-6324368483118064048128*x^2+6339532360476154401

Common denominator of the automorphisms:

6122473113019469485478371955759944084723038910130390734307794590834200936448\
00

Complex polynomial:

x^64-880*x^56+206448*x^48+634816*x^40+17650784*x^32+2539264*x^24+3303168*x^1\
6-56320*x^8+256

Common denominator of the automorphisms:

1082667302912

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Sat, 16 Jun 2018 12:23:16 +0200
Copyleft © 2002-2008 the PARI group.