# Group GAP4(56,13)

Name: C14 x C2 x C2
Maximal quotients:GAP4(8,5) GAP4(28,4)
Real polynomial:
```x^56-160*x^54+11790*x^52-531920*x^50+16478155*x^48-372614656*x^46+6383085164\
*x^44-84860458528*x^42+889844377865*x^40-7439942823712*x^38+49946929190482*x\
^36-270316094108080*x^34+1181224107485451*x^32-4165179217632000*x^30+1182132\
7956790632*x^28-26884313605867456*x^26+48682798762216059*x^24-69610299670769\
376*x^22+77770118031887570*x^20-67001411760910896*x^18+43786876446625017*x^1\
6-21257454993724160*x^14+7461172538781804*x^12-1826934167329824*x^10+2976583\
95698811*x^8-30287533952352*x^6+1752432618126*x^4-48522298448*x^2+419143729```
Common denominator of the automorphisms:
`283240850894353777388686515626787522241498665545641325713774826487808`
Complex polynomial:
```x^56+79*x^52+2677*x^48+50920*x^44+597746*x^40+4488121*x^36+21642005*x^32+657\
01076*x^28+120160770*x^24+122920642*x^20+62483534*x^16+13033696*x^12+800956*\
x^8+7385*x^4+1```
Common denominator of the automorphisms:
`1860824505363724621907762698492068045341627`

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Tue, 27 May 2014 19:57:28 +0200
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