# Group GAP4(64,27)

Name: C16 : C4
Maximal quotients:GAP4(32,3) GAP4(32,17)
Real polynomial:
```x^64-132*x^62+8310*x^60-332064*x^58+9456516*x^56-204283952*x^54+3479065784*x\
^52-47926002880*x^50+543679051408*x^48-5144455697472*x^46+40978986613216*x^4\
4-276593361907712*x^42+1588907611565120*x^40-7789186324590336*x^38+326230109\
54210176*x^36-116706467815977984*x^34+356063441684617472*x^32-92376472074330\
3168*x^30+2029183248627891712*x^28-3751909557439178752*x^26+5794557014776587\
264*x^24-7402217667094700032*x^22+7724490295061264384*x^20-64815793479705804\
80*x^18+4285693051880476672*x^16-2175371498935353344*x^14+818963641919856640\
*x^12-218331318472572928*x^10+38677051266711552*x^8-4162725686673408*x^6+238\
900025720832*x^4-5889534590976*x^2+27433959424```
Common denominator of the automorphisms:
`3535313010688`
Complex polynomial:
```x^64+132*x^62+8310*x^60+332064*x^58+9456516*x^56+204283952*x^54+3479065784*x\
^52+47926002880*x^50+543679051408*x^48+5144455697472*x^46+40978986613216*x^4\
4+276593361907712*x^42+1588907611565120*x^40+7789186324590336*x^38+326230109\
54210176*x^36+116706467815977984*x^34+356063441684617472*x^32+92376472074330\
3168*x^30+2029183248627891712*x^28+3751909557439178752*x^26+5794557014776587\
264*x^24+7402217667094700032*x^22+7724490295061264384*x^20+64815793479705804\
80*x^18+4285693051880476672*x^16+2175371498935353344*x^14+818963641919856640\
*x^12+218331318472572928*x^10+38677051266711552*x^8+4162725686673408*x^6+238\
900025720832*x^4+5889534590976*x^2+27433959424```
Common denominator of the automorphisms:
`3535313010688`

Database of Galois polynomials by Bill Allombert and Igor Schein.