Group GAP4(64,163)

Name: ((C8 x C2) : C2) : C2
Maximal quotients:GAP4(32,30) GAP4(32,42) GAP4(32,43)
Real polynomial:
x^64-720*x^62+211680*x^60-35347200*x^58+3860030400*x^56-298116864000*x^54+17\
107329024000*x^52-754335152640000*x^50+26179121825280000*x^48-72784786498560\
0000*x^46+16428448997222400000*x^44-304084593054720000000*x^42+4650783492676\
608000000*x^40-59104125866373120000000*x^38+626572950428344320000000*x^36-55\
54672445472768000000000*x^34+41226249484850688000000000*x^32-256132904365670\
400000000000*x^30+1330253820402057216000000000*x^28-575987775111069696000000\
0000*x^26+20706824629733621760000000000*x^24-61452948924923904000000000000*x\
^22+149408623547921203200000000000*x^20-294621354437640192000000000000*x^18+\
465111510723330048000000000000*x^16-577938047875153920000000000000*x^14+5527\
17391233024000000000000000*x^12-394746358608691200000000000000*x^10+20191883\
1132672000000000000000*x^8-69650155044864000000000000000*x^6+147776109281280\
00000000000000*x^4-1651129712640000000000000000*x^2+687970713600000000000000\
00
Common denominator of the automorphisms:
7443118580768237265335856439471918003454969509953845061049218760704000000000\
00000000
Complex polynomial:
x^64-3456*x^56+118914048*x^48+53339848704*x^40+6856297021440*x^32+1228950114\
14016*x^24+631245235027968*x^16-42268920643584*x^8+28179280429056
Common denominator of the automorphisms:
50200404289324924796928

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.