Group GAP4(64,182)
Name: C8 : Q8
Maximal quotients:GAP4(32,35) GAP4(32,43) GAP4(32,44)
Real polynomial:
x^64-432*x^62+75816*x^60-7181136*x^58+415521810*x^56-15869736000*x^54+421500\
929904*x^52-8074346219136*x^50+114510252742785*x^48-1225594885419360*x^46+10\
043508655864944*x^44-63720838279211616*x^42+315720717791341842*x^40-12299804\
12388607920*x^38+3787168000764331512*x^36-9250159109738792400*x^34+179622649\
08894725604*x^32-27750477329216377200*x^30+34084512006878983608*x^28-3320947\
1134492413840*x^26+25573378141098689202*x^24-15484163701848422688*x^22+73217\
17810125544176*x^20-2680376014412140320*x^18+751301768245412385*x^16-1589273\
56631253888*x^14+24889208409901296*x^12-2811276123192000*x^10+22082532622821\
0*x^8-11449050290928*x^6+362625577704*x^4-6198727824*x^2+43046721
Common denominator of the automorphisms:
6928007507610330108274120541733575312414370050060707529531980406784
Complex polynomial:
x^64+432*x^62+75816*x^60+7181136*x^58+415521810*x^56+15869736000*x^54+421500\
929904*x^52+8074346219136*x^50+114510252742785*x^48+1225594885419360*x^46+10\
043508655864944*x^44+63720838279211616*x^42+315720717791341842*x^40+12299804\
12388607920*x^38+3787168000764331512*x^36+9250159109738792400*x^34+179622649\
08894725604*x^32+27750477329216377200*x^30+34084512006878983608*x^28+3320947\
1134492413840*x^26+25573378141098689202*x^24+15484163701848422688*x^22+73217\
17810125544176*x^20+2680376014412140320*x^18+751301768245412385*x^16+1589273\
56631253888*x^14+24889208409901296*x^12+2811276123192000*x^10+22082532622821\
0*x^8+11449050290928*x^6+362625577704*x^4+6198727824*x^2+43046721
Common denominator of the automorphisms:
6928007507610330108274120541733575312414370050060707529531980406784
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.