# Group GAP4(60,8)

Name: S3 x D10
Maximal quotients:GAP4(12,4) GAP4(20,4)
Real polynomial:
```x^60-528*x^58+109008*x^56-12070360*x^54+824591520*x^52-37634634288*x^50+1207\
211467536*x^48-28173134110464*x^46+490314101219712*x^44-6481043267536960*x^4\
2+65971500839480832*x^40-522612032938882560*x^38+3247444441482729472*x^36-15\
918929317862083584*x^34+61792093925436496896*x^32-190321948861195066368*x^30\
+465354126681203036160*x^28-902325370450640670720*x^26+138394333420574428364\
8*x^24-1672024972969043017728*x^22+1581762305639140540416*x^20-1162184925156\
259348480*x^18+656041030164637286400*x^16-280467008032555008000*x^14+8910308\
1707642880000*x^12-20509350351667200000*x^10+3303252099072000000*x^8-3539944\
65280000000*x^6+23300505600000000*x^4-811008000000000*x^2+10240000000000```
Common denominator of the automorphisms:
```1756947329741735197496942560334616988288756507766494576383371291058178003057\
851265164650496000000000```
Complex polynomial:
```x^60-96*x^54+10674*x^48+130950*x^42+1459053*x^36+6704127*x^30+13131477*x^24+\
10606950*x^18+7781346*x^12-629856*x^6+59049```
Common denominator of the automorphisms:
`140193195936750`

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.