# Group GAP4(48,30)

Name: A4 : C4
Maximal quotients:GAP4(12,1) GAP4(24,12)
Real polynomial:
```x^48-240*x^46+19960*x^44-793136*x^42+17743070*x^40-246646640*x^38+2263740728\
*x^36-14249414960*x^34+63000084095*x^32-198478203872*x^30+449103167440*x^28-\
732493021280*x^26+862167976772*x^24-732493021280*x^22+449103167440*x^20-1984\
78203872*x^18+63000084095*x^16-14249414960*x^14+2263740728*x^12-246646640*x^\
10+17743070*x^8-793136*x^6+19960*x^4-240*x^2+1```
Common denominator of the automorphisms:
`494351889804450922177805690732544`
Complex polynomial:
```x^48-6*x^47+18*x^46-34*x^45+45*x^44+54*x^43-520*x^42+1596*x^41-3414*x^40+716\
6*x^39-8286*x^38-10548*x^37+70770*x^36-183384*x^35+401802*x^34-534202*x^33+1\
21443*x^32+529890*x^31+277614*x^30-658980*x^29-389478*x^28+150624*x^27+40215\
0*x^26-162102*x^25+126883*x^24-162102*x^23+402150*x^22+150624*x^21-389478*x^\
20-658980*x^19+277614*x^18+529890*x^17+121443*x^16-534202*x^15+401802*x^14-1\
83384*x^13+70770*x^12-10548*x^11-8286*x^10+7166*x^9-3414*x^8+1596*x^7-520*x^\
6+54*x^5+45*x^4-34*x^3+18*x^2-6*x+1```
Common denominator of the automorphisms:
`565476913708554171150`

Database of Galois polynomials by Bill Allombert and Igor Schein.