# Group GAP4(64,1)

Name: C64
Maximal quotient:GAP4(32,1)
Real polynomial:
```x^64-64*x^62+1952*x^60-37760*x^58+520144*x^56-5430656*x^54+44662464*x^52-296\
854272*x^50+1623421800*x^48-7398867840*x^46+28362326720*x^44-92043777280*x^4\
2+254005423840*x^40-597659820800*x^38+1200442440064*x^36-2057901325824*x^34+\
3006465218196*x^32-3732682723968*x^30+3922021702720*x^28-3467892873984*x^26+\
2561511781920*x^24-1565841089280*x^22+782920544640*x^20-315492902400*x^18+10\
0563362640*x^16-24754058496*x^14+4559958144*x^12-602516992*x^10+53796160*x^8\
-2968064*x^6+87296*x^4-1024*x^2+2```
Common denominator of the automorphisms:
`1`
Complex polynomial:
```x^64+64*x^62+1952*x^60+37760*x^58+520144*x^56+5430656*x^54+44662464*x^52+296\
854272*x^50+1623421800*x^48+7398867840*x^46+28362326720*x^44+92043777280*x^4\
2+254005423840*x^40+597659820800*x^38+1200442440064*x^36+2057901325824*x^34+\
3006465218196*x^32+3732682723968*x^30+3922021702720*x^28+3467892873984*x^26+\
2561511781920*x^24+1565841089280*x^22+782920544640*x^20+315492902400*x^18+10\
0563362640*x^16+24754058496*x^14+4559958144*x^12+602516992*x^10+53796160*x^8\
+2968064*x^6+87296*x^4+1024*x^2+2```
Common denominator of the automorphisms:
`1`

Database of Galois polynomials by Bill Allombert and Igor Schein.