Group GAP4(64,53)

Name: QD64
Maximal quotient:GAP4(32,18)
Real polynomial:

x^64-576*x^62+134880*x^60-17229568*x^58+1364535584*x^56-72392676096*x^54+271\
2042924800*x^52-74506745216000*x^50+1543470526284352*x^48-24623238181549056*\
x^46+307453229279180800*x^44-3043160034430185472*x^42+24119715384794260480*x\
^40-154320544427889819648*x^38+802139994699523629056*x^36-340395512885182500\
0448*x^34+11835036269018873156096*x^32-33789631401629346791424*x^30+79290962\
004105730457600*x^28-152853612530612458225664*x^26+241573206173499869396992*\
x^24-311802463689866571153408*x^22+326733322659908900356096*x^20-27561797598\
9275730116608*x^18+184990220766711989796864*x^16-97239041515532033458176*x^1\
4+39180896510583139991552*x^12-11751492152416750534656*x^10+2517100130663726\
579712*x^8-361960617690110361600*x^6+31550040382799609856*x^4-13564598577958\
74816*x^2+14624633760251904

Common denominator of the automorphisms:

6936110838207416902223777089695151434687493367757292235169519201104421835017\
6407809032647957789409820876223418385327246085475907571221564046650805161801\
1355531339099845689344

Complex polynomial:

x^64-288*x^56+49736*x^48-4168768*x^40+369771784*x^32+24583552*x^24+22994656*\
x^16-28928*x^8+16

Common denominator of the automorphisms:

116430726613382272000

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