Group GAP4(64,115)
Name: C8 x D8
Maximal quotients:GAP4(32,25) GAP4(32,36) GAP4(32,38)
Real polynomial:
x^64-192*x^62+17568*x^60-1019520*x^58+42131664*x^56-1319649408*x^54+32558936\
256*x^52-649220292864*x^50+10651270437604*x^48-145631916818496*x^46+16747671\
06344160*x^44-16305282203096448*x^42+134988990063460848*x^40-952864836182130\
816*x^38+5741713084407687360*x^36-29529083957486185728*x^34+1294231946564077\
91430*x^32-482079318744553224768*x^30+1519746738000609058272*x^28-4032131653\
988452296576*x^26+8938360957567337028720*x^24-16404443247484323596160*x^22+2\
4642236470250743606080*x^20-29870492218828701841152*x^18+2870522305879176981\
7060*x^16-21388589119569647688384*x^14+12011557436792742317472*x^12-48992776\
07738318798976*x^10+1380164803348739560272*x^8-249649458796474480512*x^6+257\
02925761931049792*x^4-1137198629544585984*x^2+718936593618049
Common denominator of the automorphisms:
232497485484203921943475200
Complex polynomial:
x^64+4868*x^48+5638*x^32+4868*x^16+1
Common denominator of the automorphisms:
539648
Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Sat, 16 Jun 2018 12:23:16 +0200
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