Group GAP4(64,195)

Name: C2 x ((C4 x C4) : C2)
Maximal quotients:GAP4(32,24) GAP4(32,45) GAP4(32,48)
Real polynomial:
x^64-128*x^62+7808*x^60-302080*x^58+8322281*x^56-173778416*x^54+2858261168*x\
^52-37992792448*x^50+415488690656*x^48-3786321949696*x^46+29016825623552*x^4\
4-188216668217344*x^42+1037814686605191*x^40-4876918752926256*x^38+195512700\
27561200*x^36-66839161950432640*x^34+194508950960568383*x^32-480309121184927\
680*x^30+1001731202348525760*x^28-1753455659346559488*x^26+25550370699758982\
31*x^24-3067123041624462928*x^22+2993475297741845648*x^20-233613271200727564\
8*x^18+1427192797229065376*x^16-664076713410221056*x^14+226951593582154752*x\
^12-54199474204336128*x^10+8416690003135641*x^8-759089912924560*x^6+32250048\
409552*x^4-356127231104*x^2+200477281
Common denominator of the automorphisms:
1336318282779869025
Complex polynomial:
x^64+11*x^56+75*x^48+514*x^40+2159*x^32-206*x^24-30*x^16-4*x^8+1
Common denominator of the automorphisms:
2150012161

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