Group GAP4(81,12)

Name: C3 x ((C3 x C3) : C3)
Maximal quotients:GAP4(27,3) GAP4(27,5)
Real polynomial:
x^81-360*x^79-72*x^78+54855*x^77+10368*x^76-4808238*x^75-492615*x^74+2758031\
10*x^73-454470*x^72-11127438936*x^71+1092416517*x^70+330751001496*x^69-58503\
243816*x^68-7480104115185*x^67+1754042465280*x^66+131776999035552*x^65-35729\
876557584*x^64-1840849323588095*x^63+531385351389288*x^62+20672450502779862*\
x^61-5991177099303081*x^60-188620054026265134*x^59+52395736102671870*x^58+14\
09963783687525136*x^57-360846361407513573*x^56-8690333202921938688*x^55+1977\
526424636476768*x^54+44380656011350295370*x^53-8689615686565259040*x^52-1884\
75980654020195488*x^51+30810433576816919520*x^50+667342622645652978630*x^49-\
88753312370227053504*x^48-1973412032605105787532*x^47+209827000288949051322*\
x^46+4878376661370764324028*x^45-414338375682246019788*x^44-1008377592207342\
4301472*x^43+703668494916946557138*x^42+17419958689577762137392*x^41-1068751\
524062847993264*x^40-25117974857611397307138*x^39+1498538709239396458464*x^3\
8+30162418955837820386928*x^37-1939280717611233229168*x^36-30063077668697452\
018398*x^35+2238453821759507535888*x^34+24753676744854363966060*x^33-2203486\
357026778384050*x^32-16731690175122273714204*x^31+1782713884424053425132*x^3\
0+9208301560227031944816*x^29-1154691212484765268746*x^28-408412014121402049\
3760*x^27+587020753934569587168*x^26+1441664389830960640485*x^25-23008926008\
2591767648*x^24-399069471633743809656*x^23+68242973471535068136*x^22+8515553\
2853366489091*x^21-14993286485556384000*x^20-13731611051060835750*x^19+23796\
24083059875901*x^18+1632863804476112190*x^17-264452933928992526*x^16-1384544\
93009696136*x^15+19748041114193433*x^14+7949527525053432*x^13-93736223781002\
4*x^12-283580675282493*x^11+26418827046816*x^10+5429115055472*x^9-4134427522\
56*x^8-45803036979*x^7+2786889672*x^6+145609758*x^5-7181397*x^4-142230*x^3+6\
966*x^2-1
Common denominator of the automorphisms:
6364955489609191722145806726988109703084662625214111217432694158263838582647\
2812813512763678019150769134209736093860813982632127533966411999190588503539\
4176297270108117215494996056179517026823516437389017914770356978883347881034\
0011563904742094955782820542282760772211611581583486843882299965603512566665\
4197602018993741709683831172275992600295376822015621958758486651828817988172\
55781397808967363986545052732041213195059200

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.