Group GAP4(81,13)

Name: C3 x (C9 : C3)
Maximal quotients:GAP4(27,4) GAP4(27,5)
Real polynomial:
x^81-297*x^79-17*x^78+37503*x^77+912*x^76-2709736*x^75+113040*x^74+127063011\
*x^73-14459848*x^72-4148464050*x^71+745256235*x^70+98635146735*x^69-23120752\
041*x^68-1762006659480*x^67+488257674213*x^66+24201562418262*x^65-7471658668\
467*x^64-260205622597478*x^63+86166315592893*x^62+2221594930708179*x^61-7697\
23141195852*x^60-15240288740719536*x^59+5435934302203440*x^58+84823190883831\
738*x^57-30827024593606710*x^56-386098750145137482*x^55+142069953391885828*x\
^54+1446666955890114213*x^53-536919551252817273*x^52-4485116282839444014*x^5\
1+1675004397934711122*x^50+11551531566849039669*x^49-4333025405815765668*x^4\
8-24786202302935802180*x^47+9320634474033625014*x^46+44389428785287692899*x^\
45-16693364903907397185*x^44-66407909058087849672*x^43+24894201791074463187*\
x^42+82985113423057666500*x^41-30877225914957904563*x^40-8653755425503602021\
7*x^39+31788221775086991906*x^38+75169947766916949081*x^37-27083066990267920\
605*x^36-54245976758340031467*x^35+19023784242006712068*x^34+324092454234648\
94087*x^33-10967547007787990499*x^32-15962417973183899481*x^31+5163019767695\
591237*x^30+6448772956542266088*x^29-1973407952774199252*x^28-21247907332015\
12641*x^27+608694144661176732*x^26+567347982017646075*x^25-15053152767999062\
6*x^24-121916645268049494*x^23+29637264141592584*x^22+20926859323723579*x^21\
-4608102344352516*x^20-2845959425054163*x^19+560205894855173*x^18+3038332557\
54618*x^17-52551943188483*x^16-25184731323940*x^15+3734810002161*x^14+159810\
8213799*x^13-195750681819*x^12-76143175857*x^11+7253342874*x^10+2647527786*x\
^9-176284107*x^8-64214550*x^7+2369345*x^6+1004463*x^5-7356*x^4-8658*x^3-171*\
x^2+27*x+1
Common denominator of the automorphisms:
9079697496292226935003356408988125810273779776271738585278669402842038821270\
8317017395474534835360612173071083680155272930436699930964204423004235047905\
8488785847279931223204212047276357539654907566125905789686966299859285887398\
2637118067148868240812535578060262110728254374832280547631693381972884213085\
8591665911329900816467504899280616384096905397824198817813998147654607475173\
4546161315860971844249856649572421419250207962153516831758568870038485354652\
83066948396679383053912108415713193236023754445456274781078460358189664079

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.