# Group GAP4(60,10)

Name: C6 x D10
Maximal quotients:GAP4(12,5) GAP4(20,4) GAP4(30,2)
Real polynomial:
```x^60-792*x^58+197160*x^56-23734624*x^54+1639150992*x^52-71555549760*x^50+209\
8194524928*x^48-43021635045120*x^46+634304227885056*x^44-6863869437130240*x^\
42+55380132608596992*x^40-337345844120549376*x^38+1566773440026714112*x^36-5\
590059423906078720*x^34+15405793776325951488*x^32-32915440982009610240*x^30+\
54633067392582549504*x^28-70485125460939767808*x^26+70617828819293962240*x^2\
4-54796955075621683200*x^22+32778311802342604800*x^20-15006401847302815744*x\
^18+5204155368204140544*x^16-1347896619697176576*x^14+255807689827811328*x^1\
2-34671382033858560*x^10+3239190649110528*x^8-198112077414400*x^6+7315403046\
912*x^4-141733920768*x^2+1073741824```
Common denominator of the automorphisms:
```7637343333907851138931540092688088121693620136990718954272962401442311490764\
8```
Complex polynomial:
```x^60+8*x^57+16*x^54+252*x^51+1807*x^48+3505*x^45+7054*x^42+13036*x^39+13951*\
x^36+12557*x^33+24507*x^30+12557*x^27+13951*x^24+13036*x^21+7054*x^18+3505*x\
^15+1807*x^12+252*x^9+16*x^6+8*x^3+1```
Common denominator of the automorphisms:
`45652166458004735695`

Database of Galois polynomials by Bill Allombert and Igor Schein.