# Group GAP4(64,59)

Name: C4 x (C4 : C4)
Maximal quotients:GAP4(32,21) GAP4(32,23) GAP4(32,24) GAP4(32,25) GAP4(32,26)
Real polynomial:
```x^64-256*x^62+31232*x^60-2416640*x^58+133156785*x^56-5560974048*x^54+1829355\
76768*x^52-4863535246336*x^50+106386674871840*x^48-1939360169236480*x^46+297\
34297717796864*x^44-385932606833229824*x^42+4259228157225325103*x^40-4007475\
1953766407520*x^38+321832545515258576320*x^36-2205509787404158471168*x^34+12\
877662128128380526943*x^32-63880895305288628875136*x^30+26808352652631471657\
8560*x^28-946334679207511775907840*x^26+2789177618485500000816623*x^24-67998\
83219260899525999008*x^22+13553544234458298259305536*x^20-217687981694530069\
68243200*x^18+27669697635677722746382880*x^16-27208443504069737514698752*x^1\
4+20105211225116924889649152*x^12-10743861219927816262057984*x^10+3938428769\
832139009354865*x^8-918107895487164804075040*x^6+122212694444971504667968*x^\
4-8216446606140287075328*x^2+212076336855379403521```
Common denominator of the automorphisms:
`180975105596652671420371496875`
Complex polynomial:
```x^64+256*x^62+31232*x^60+2416640*x^58+133156785*x^56+5560974048*x^54+1829355\
76768*x^52+4863535246336*x^50+106386674871840*x^48+1939360169236480*x^46+297\
34297717796864*x^44+385932606833229824*x^42+4259228157225325103*x^40+4007475\
1953766407520*x^38+321832545515258576320*x^36+2205509787404158471168*x^34+12\
877662128128380526943*x^32+63880895305288628875136*x^30+26808352652631471657\
8560*x^28+946334679207511775907840*x^26+2789177618485500000816623*x^24+67998\
83219260899525999008*x^22+13553544234458298259305536*x^20+217687981694530069\
68243200*x^18+27669697635677722746382880*x^16+27208443504069737514698752*x^1\
4+20105211225116924889649152*x^12+10743861219927816262057984*x^10+3938428769\
832139009354865*x^8+918107895487164804075040*x^6+122212694444971504667968*x^\
4+8216446606140287075328*x^2+212076336855379403521```
Common denominator of the automorphisms:
`180975105596652671420371496875`

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.