Group GAP4(64,69)

Name: (C4 x C4 x C2) : C2
Maximal quotients:GAP4(32,24) GAP4(32,25) GAP4(32,28) GAP4(32,30) GAP4(32,31) GAP4(32,33)
Real polynomial:
x^64-32*x^63+400*x^62-1984*x^61-4488*x^60+104384*x^59-401752*x^58-860024*x^5\
7+11713920*x^56-23802496*x^55-109016696*x^54+608090064*x^53-196949948*x^52-5\
810902424*x^51+13465965792*x^50+22158891560*x^49-135044073812*x^48+690948862\
08*x^47+685544065224*x^46-1294043122120*x^45-1610676968728*x^44+745316667024\
0*x^43-1985136805872*x^42-24208656013880*x^41+29868995421722*x^40+4314451421\
0376*x^39-115927825337352*x^38-10283031615056*x^37+261282844732164*x^36-1661\
15934749576*x^35-360830696495828*x^34+501708969584928*x^33+239458057164880*x\
^32-815030853776480*x^31+137395304044184*x^30+839741567685296*x^29-533362895\
378076*x^28-529156631737672*x^27+658772485189296*x^26+133590654301120*x^25-4\
87060697689308*x^24+88733066259072*x^23+230431783990120*x^22-112053131095544\
*x^21-65053651893040*x^20+58937062364760*x^19+6646501456864*x^18-18392544143\
776*x^17+2300396685277*x^16+3489778634264*x^15-1066559161544*x^14-3624256150\
96*x^13+195840558620*x^12+11247414184*x^11-18627674660*x^10+1355978512*x^9+8\
71870524*x^8-129741288*x^7-16301352*x^6+3292448*x^5+132072*x^4-27720*x^3-884\
*x^2+32*x+1
Common denominator of the automorphisms:
3254216076256401947658315403839275660208689572919497623730874572409025
Complex polynomial:
x^64+256*x^60+28384*x^56+379904*x^52+13957568*x^48+56233984*x^44-1965568*x^4\
0+2285551616*x^36+12467127808*x^32+9142206464*x^28-31449088*x^24+3598974976*\
x^20+3573137408*x^16+389021696*x^12+116260864*x^8+4194304*x^4+65536
Common denominator of the automorphisms:
22892602661374011637760

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Tue, 27 May 2014 19:57:28 +0200
Copyleft © 2002-2008 the PARI group.