# Group GAP4(60,7)

Name: C15 : C4
Maximal quotients:GAP4(12,1) GAP4(20,3)
Real polynomial:
```x^60-600*x^58+163800*x^56-27010000*x^54+3012060000*x^52-241033698000*x^50+14\
333493182000*x^48-647218475340000*x^46+22483086716700000*x^44-60511907001900\
0000*x^42+12648611761960896000*x^40-205009126964267400000*x^38+2563271090357\
788700000*x^36-24516467913484470000000*x^34+177375068070954930000000*x^32-95\
7979852041461772000000*x^30+3809158872280797048000000*x^28-11010482610151418\
460000000*x^26+22912589036265879500000000*x^24-34119084838369845000000000*x^\
22+36236568960726019272000000*x^20-27366953008697592400000000*x^18+146203489\
40145307200000000*x^16-5472318962726550000000000*x^14+1412175982968782500000\
000*x^12-244879562342952000000000*x^10+27391554291168000000000*x^8-184995838\
6560000000000*x^6+67613875200000000000*x^4-1119744000000000000*x^2+597196800\
0000000```
Common denominator of the automorphisms:
```8984561837259839535705588786689539089305604103898505325157061398155247200399\
73723053356505162752000000000000```
Complex polynomial:
```x^60+658800*x^50+13901909760*x^40+55911666944000*x^30+7449475354214400*x^20+\
33917952000000000*x^10+1280000000000000```
Common denominator of the automorphisms:
`2379427183513483366574080000000000`

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Sat, 16 Jun 2018 12:23:16 +0200
Copyleft © 2002-2008 the PARI group.