Group GAP4(72,12)

Name: C3 x (C3 : C8)
Maximal quotients:GAP4(24,1) GAP4(24,2) GAP4(36,6)
Real polynomial:
x^72-336*x^70+51912*x^68-4918080*x^66+321432804*x^64-15457163904*x^62+569529\
468288*x^60-16529941802304*x^58+385518906005940*x^56-7332939101317248*x^54+1\
15043823590324832*x^52-1501630874248176000*x^50+16416197459602715376*x^48-15\
1076803969371022848*x^46+1174841721501784031808*x^44-7740645519910486362624*\
x^42+43284201604268069219040*x^40-205585220786358537605376*x^38+829396672012\
401714587520*x^36-2839825112360074387444224*x^34+8239184762440283606828160*x\
^32-20206317669400079552899584*x^30+41751040893564759501298176*x^28-72372861\
576886559083444224*x^26+104687800437117036227876928*x^24-1255371433868832200\
51963904*x^22+123796671043753140127285248*x^20-99410689645951988388593664*x^\
18+64223775634050921181741056*x^16-32883662532333115231174656*x^14+130932215\
37144473659637760*x^12-3955371837161698190426112*x^10+8768491640630694924779\
52*x^8-136001238220112293527552*x^6+13702434358008427315200*x^4-785333551264\
960610304*x^2+18698417887260966912
Common denominator of the automorphisms:
1181388235302691640493639772998492960905764103425698623716710998243708138858\
32611499434531685420310482622995250133138959842162729546065884323006906368
Complex polynomial:
x^72+336*x^70+51912*x^68+4918080*x^66+321432804*x^64+15457163904*x^62+569529\
468288*x^60+16529941802304*x^58+385518906005940*x^56+7332939101317248*x^54+1\
15043823590324832*x^52+1501630874248176000*x^50+16416197459602715376*x^48+15\
1076803969371022848*x^46+1174841721501784031808*x^44+7740645519910486362624*\
x^42+43284201604268069219040*x^40+205585220786358537605376*x^38+829396672012\
401714587520*x^36+2839825112360074387444224*x^34+8239184762440283606828160*x\
^32+20206317669400079552899584*x^30+41751040893564759501298176*x^28+72372861\
576886559083444224*x^26+104687800437117036227876928*x^24+1255371433868832200\
51963904*x^22+123796671043753140127285248*x^20+99410689645951988388593664*x^\
18+64223775634050921181741056*x^16+32883662532333115231174656*x^14+130932215\
37144473659637760*x^12+3955371837161698190426112*x^10+8768491640630694924779\
52*x^8+136001238220112293527552*x^6+13702434358008427315200*x^4+785333551264\
960610304*x^2+18698417887260966912
Common denominator of the automorphisms:
1181388235302691640493639772998492960905764103425698623716710998243708138858\
32611499434531685420310482622995250133138959842162729546065884323006906368

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Tue, 27 May 2014 19:57:28 +0200
Copyleft © 2002-2008 the PARI group.