Group GAP4(120,17)

Name: C12 x D10
Maximal quotients:GAP4(24,9) GAP4(40,5) GAP4(60,10)
Real polynomial:
x^120-1584*x^118+905112*x^116-274823840*x^114+51847533144*x^112-662283366960\
0*x^110+605584099223840*x^108-41226520399731648*x^106+2151279330810885648*x^\
104-87991640762655634496*x^102+2871275970752105471424*x^100-7582316846550440\
1973632*x^98+1639666829230371541130752*x^96-29326463692415017756466688*x^94+\
437527939674959704304418048*x^92-5484981121955862280057747456*x^90+581466398\
38104909582503212032*x^88-524143676938099104195176973312*x^86+40367996822523\
05103224559449600*x^84-26674691880559757241805311707136*x^82+151780175241938\
028416197003705344*x^80-746029094766861036796274050576384*x^78+3176234630559\
385422889124107966464*x^76-11741346846148844049787135351062528*x^74+37762786\
165623066300963638781583360*x^72-105856556972523244131636858849951744*x^70+2\
59019183735711560463987972211646464*x^68-55392815032555692683974056370775654\
4*x^66+1036402901232330405489282252451676160*x^64-16978770724250247670462365\
79402678272*x^62+2436905434430757950897091806100357120*x^60-3065362001813305\
700610785502002675712*x^58+3379822261444797625551884592451682304*x^56-326613\
5813171233193693104661436039168*x^54+2765420890215131786057251190374662144*x\
^52-2050359615666181077961655760689037312*x^50+13301175326849634167029449487\
89182464*x^48-754191092297978307691917945043156992*x^46+37327658165114755009\
5101106744459264*x^44-161006984631092203808997731660201984*x^42+604089634633\
48484951617494866460672*x^40-19671536073210477320700392166653952*x^38+554544\
3655596921407838253538607104*x^36-1349269316884049206905798421118976*x^34+28\
2373347677522133919469578223616*x^32-50625689141804236137901447970816*x^30+7\
739600120719671923124096466944*x^28-1003484555161059251394258665472*x^26+109\
645903501672178512058908672*x^24-10021354246510760024598380544*x^22+75942528\
2884779046430834688*x^20-47217523715585010980356096*x^18+2378309030135886369\
521664*x^16-95544253250416825860096*x^14+3001757095933157310464*x^12-7188917\
5853106462720*x^10+1267508353362296832*x^8-15649548714115072*x^6+12520259164\
5696*x^4-566935683072*x^2+1073741824
Common denominator of the automorphisms:
3057837577801064676211143861667669063888648432201042300616555603578695357538\
3526070904381783358190322465534614685206327058330984497322338069460069063193\
9735152880165645661400186636767344109663289393761447225025305811480743834708\
66696894383910813696
Complex polynomial:
x^120-1188*x^105+1401730*x^90-11423808*x^75+93840339*x^60+11423808*x^45+1401\
730*x^30+1188*x^15+1
Common denominator of the automorphisms:
5653122195338930952

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.