Group GAP4(80,36)

Name: C2 x C4 x D10
Maximal quotients:GAP4(16,10) GAP4(40,5) GAP4(40,13)
Real polynomial:

x^80-528*x^78+103944*x^76-11055648*x^74+737331016*x^72-33399145008*x^70+1080\
786277152*x^68-25888300651584*x^66+471361189460976*x^64-6658424163101952*x^6\
2+74149160316085728*x^60-659247822488324736*x^58+4726820975368560384*x^56-27\
553088599896923136*x^54+131424406178958623232*x^52-515666984580499401216*x^5\
0+1671430263522906646272*x^48-4490435692224181260288*x^46+100249088348541965\
55264*x^44-18631556918550106232832*x^42+28857811489421858491392*x^40-3726311\
3837100212465664*x^38+40099635339416786221056*x^36-35923485537793450082304*x\
^34+26742884216366506340352*x^32-16501343506575980838912*x^30+84111619954533\
51886848*x^28-3526795340786806161408*x^26+1210066169694351458304*x^24-337534\
885114022264832*x^22+75928740163671785472*x^20-13636452686032797696*x^18+193\
0695432032157696*x^16-212076958937776128*x^14+17707602364858368*x^12-1094423\
183622144*x^10+48321725464576*x^8-1449085894656*x^6+27248295936*x^4-27682406\
4*x^2+1048576

Common denominator of the automorphisms:

3380593635068183265541492150047490710267923743713879391818296945219865324709\
4784

Complex polynomial:

x^80-116*x^70+12970*x^60-56144*x^50+222739*x^40-56144*x^30+12970*x^20-116*x^\
10+1

Common denominator of the automorphisms:

122714545536

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.