Group GAP4(81,11)

Name: C9 x C3 x C3
Maximal quotients:GAP4(27,2) GAP4(27,5)
Real polynomial:
x^81-255*x^79+16*x^78+29646*x^77-3312*x^76-2089515*x^75+311328*x^74+10015200\
3*x^73-17687152*x^72-3471137865*x^71+681764016*x^70+90316186046*x^69-1897339\
3488*x^68-1808310810660*x^67+396109676448*x^66+28341484105725*x^65-636374243\
1360*x^64-352001215888237*x^63+80085205939644*x^62+3496142587283424*x^61-799\
551974441945*x^60-27963674184436164*x^59+6391088623580337*x^58+1811313464649\
41584*x^57-41175671862039372*x^56-954610199090120106*x^55+214901776345040595\
*x^54+4110175452041955297*x^53-912353350754629089*x^52-14509570346359873465*\
x^51+3162319221905026875*x^50+42127543425194177190*x^49-8979777662220897708*\
x^48-100863003592178721225*x^47+20957601648402108564*x^46+199541986854950527\
507*x^45-40315932445811255937*x^44-326637100211675592297*x^43+64073865847301\
592587*x^42+442684884460196407338*x^41-84266522545970852766*x^40-49663760284\
5968426172*x^39+91774835697179581884*x^38+460725053199177175551*x^37-8275151\
2067598785636*x^36-352731137348260331919*x^35+61689602166021394050*x^34+2222\
11042633919117360*x^33-37921636712292812901*x^32-114730912893845179866*x^31+\
19144864830342801277*x^30+48304400959623346794*x^29-7893871708356117882*x^28\
-16480728439462781880*x^27+2639074423658304303*x^26+4522688043386393712*x^25\
-708940905912524749*x^24-989459894273585796*x^23+151371235540474161*x^22+170\
787509448050144*x^21-25365934931436972*x^20-22973543853370722*x^19+328824735\
7232397*x^18+2372953858555428*x^17-324375661641552*x^16-184784485713698*x^15\
+23884285929543*x^14+10594865666712*x^13-1281387522593*x^12-433461137382*x^1\
1+48499857399*x^10+12124610090*x^9-1237071285*x^8-218510502*x^7+19863880*x^6\
+2333106*x^5-180510*x^4-13030*x^3+765*x^2+30*x-1
Common denominator of the automorphisms:
8167432004306931397491821982719996003276270770027612671702235336991721900191\
8050392463757919399549580397832507102359771614700849961105199084885659421413\
8381793495765495887334353847949601192826506981924408412832207905112773839395\
4816165290763715173601873383312996914438828595425205025251511050574624436325\
6418865769356134424717116371510303332918135910683590783607863493798088744823\
1753686942380846497834668969985910561176114530262751868

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.