Group GAP4(81,5)

Name: C27 x C3
Maximal quotients:GAP4(27,1) GAP4(27,2)
Real polynomial:
x^81-135*x^79+8586*x^77-342405*x^75+9614538*x^73-202366998*x^71+3319056027*x\
^69-43536415410*x^67+465183117045*x^65-4103274577506*x^63+30177021789117*x^6\
1-186414843966102*x^59+972630301380417*x^57-4303819278833949*x^55-8034394*x^\
54+16198612516641501*x^53+380262627*x^52-51963461898465996*x^51-8198983539*x\
^50+142255025455293234*x^49+106837465392*x^48-332559452352382542*x^47-941597\
412021*x^46+663984647120306547*x^45+5955584559219*x^44-1131853353874977132*x\
^43-28012810978440*x^42+1646039486669966136*x^41+100273434739560*x^40-203988\
2573072737827*x^39-277495673657652*x^38+2150774044247597076*x^37+60035985993\
9351*x^36-1925347131473717511*x^35-1023632465550786*x^34+1459490196677185638\
*x^33+1383362408035755*x^32-933741879671714652*x^31-1487343895124751*x^30+50\
2085664109799028*x^29+1274574135021102*x^28-225734552958937646*x^27-87039396\
3146571*x^26+84309497914764132*x^25+472505030109774*x^24-25948284040944108*x\
^23-202886468787438*x^22+6514956917888211*x^21+68348782303767*x^20-131755696\
6359879*x^19-17851003234092*x^18+211188260950875*x^17+3554351187336*x^16-262\
76199891525*x^15-527144304132*x^14+2468972648367*x^13+56390455368*x^12-16878\
0426165*x^11-4160476710*x^10+7961432388*x^9+198893799*x^8-239189301*x^7-5668\
299*x^6+4002453*x^5+88452*x^4-28692*x^3-729*x^2+54*x+1
Common denominator of the automorphisms:
1153864277375244746226682838778840058323294820085806956640281251583865890797\
8046249979710117105811407151786774598683248661173369717880365437023803518645\
6056121107318084852535579826705253237530420029464092627990412551955808557272\
8320508342217936606284768505386574255807065958244233275166804718847150051550\
4934300638527485154771709148038843841036025983280823854135296052152394431049\
36308722881794130289253921

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Thu, 19 Dec 2013 12:12:28 +0100
Copyleft © 2002-2008 the PARI group.