Group GAP4(64,125)

Name: ((C4 x C4) : C2) : C2
Maximal quotient:GAP4(32,25)
Real polynomial:

x^64-240*x^62+25020*x^60-1522800*x^58+61429680*x^56-1763928000*x^54+37725744\
600*x^52-619811956800*x^50+7996474602900*x^48-82330392816000*x^46+6846716038\
50000*x^44-4641061329288000*x^42+25819357514256000*x^40-118489916089440000*x\
^38+450205627885020000*x^36-1419643509985440000*x^34+3720019683619980000*x^3\
2-8102294040398400000*x^30+14655883709665800000*x^28-21975050979108000000*x^\
26+27228405556490400000*x^24-27756785469744000000*x^22+23140131104196000000*\
x^20-15651905311224000000*x^18+8500839224724000000*x^16-3657103324560000000*\
x^14+1223987748660000000*x^12-311082729120000000*x^10+58069573920000000*x^8-\
7589764800000000*x^6+645602400000000*x^4-31492800000000*x^2+656100000000

Common denominator of the automorphisms:

44549604539990082929451382383234787137359315524995272420400000000

Complex polynomial:

x^64+718*x^48+5683*x^32+33358*x^16+1

Common denominator of the automorphisms:

2323607728

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