Group GAP4(64,90)

Name: C2 x (((C4 x C2) : C2) : C2)
Maximal quotients:GAP4(32,6) GAP4(32,22)
Real polynomial:

x^64-320*x^62+47232*x^60-4281600*x^58+267763776*x^56-12301370880*x^54+431602\
831360*x^52-11868595558400*x^50+260455895627520*x^48-4620106865152000*x^46+6\
6849231668928512*x^44-793936159230935040*x^42+7770686518906548224*x^40-62811\
184728341708800*x^38+419484896766519017472*x^36-2312244440507096104960*x^34+\
10492859752947967877120*x^32-39045921595739229388800*x^30+118499551539949477\
560320*x^28-291255550834355077120000*x^26+574722154050435237543936*x^24-9007\
89806661833295134720*x^22+1106895238285361982472192*x^20-1049457803032231359\
283200*x^18+752610966747074968682496*x^16-398057543825254074286080*x^14+1501\
96408299862055976960*x^12-38632686311195436646400*x^10+634688425903374991360\
0*x^8-604472746860085248000*x^6+28751714945335296000*x^4-494795331993600000*\
x^2+849346560000

Common denominator of the automorphisms:

67397131181897981446936135883785130933366689697691751473689395200000

Complex polynomial:

x^64+128*x^60-1216*x^56+924672*x^52+30095104*x^48+281714688*x^44+952217600*x\
^40+6935478272*x^36+51664150528*x^32+55483826176*x^28+60941926400*x^24+14423\
7920256*x^20+123269545984*x^16+30299652096*x^12-318767104*x^8+268435456*x^4+\
16777216

Common denominator of the automorphisms:

81577231244579460612096

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.