Group GAP4(64,206)

Name: (C4 x C2 x C2 x C2) : C2
Maximal quotients:GAP4(32,46) GAP4(32,48)
Real polynomial:

x^64-256*x^62+31232*x^60-2416640*x^58+133155618*x^56-5560712640*x^54+1829078\
67520*x^52-4861686568960*x^50+106299574342961*x^48-1936277931812032*x^46+296\
49235353693056*x^44-384056141211781120*x^42+4225581719546135312*x^40-3957874\
0988397087232*x^38+315775118019119916032*x^36-2143945822226366808064*x^34+12\
355835096108973559808*x^32-60192395530981761089536*x^30+24638929140952066844\
2624*x^28-840621177157946871644160*x^26+2365214203133867429597184*x^24-54133\
67921364747155800064*x^22+9901263266766787278798848*x^20-1414365272060874432\
7610368*x^18+15312776019764206478884864*x^16-12078485484391766981345280*x^14\
+6587486129554453967142912*x^12-2318550936684256819150848*x^10+4816262931796\
96023601152*x^8-52833025622406321930240*x^6+2432689213282971549696*x^4-14987\
717360725524480*x^2+9936153436225536

Common denominator of the automorphisms:

603249919540509831846685223823731589120000

Complex polynomial:

x^64-49*x^56+1345*x^48-51646*x^40+1112734*x^32-51646*x^24+1345*x^16-49*x^8+1

Common denominator of the automorphisms:

17445681792

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Sat, 16 Jun 2018 12:23:16 +0200
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