Group GAP4(108,25)

Name: C2 x (((C3 x C3) : C3) : C2)
Maximal quotients:GAP4(36,12) GAP4(54,5)
Real polynomial:
x^108-396*x^106+74844*x^104-8996796*x^102+773384040*x^100-50681722896*x^98+2\
635817887170*x^96-111824382543264*x^94+3947905130447808*x^92-117739708964397\
804*x^90+3000931803168928776*x^88-65972516341615502688*x^86+1260241896790531\
009503*x^84-21044228629332703110156*x^82+308691745265559520602252*x^80-39936\
09115475298239144904*x^78+45715930011588504648242736*x^76-464270060671608927\
297233952*x^74+4191587439132534641022729372*x^72-336966713918481191878558762\
56*x^70+241493709061444141698044218272*x^68-1544098317772660369272878432184*\
x^66+8812049601638338539505039593936*x^64-44889629311497473695588086055296*x\
^62+204067880398146784971717192030255*x^60-827404386710177657841152575025124\
*x^58+2989479467475236581735755122302068*x^56-961377785882887916760952366402\
6156*x^54+27476749367363466208811031547427208*x^52-6966680622840597368986862\
3296115472*x^50+156370385281733695889859017168406882*x^48-309948250391670940\
973811848357320896*x^46+541032784883205498385741189411013664*x^44-8290921138\
90775809440704057770409052*x^42+1111523851716523512080589311347622952*x^40-1\
298690061347236729032560271838921632*x^38+1316841229840890737089783172158294\
353*x^36-1153462004101631328804427157847683460*x^34+868438105617980815277681\
073588351012*x^32-558954985339934321648453430951490128*x^30+3057400235082546\
86005465330150287072*x^28-141213506068602501333923327924856384*x^26+54688946\
610276779374063178829084384*x^24-17622017979253360048073214357023232*x^22+46\
83483637235187187638384659319552*x^20-1016506559475916542147488403986688*x^1\
8+178058651068214574330144662249472*x^16-24811107038008753783047666610176*x^\
14+2699483096370989952329542099200*x^12-223612081243964382994874035200*x^10+\
13595486709121446897142373376*x^8-572725849886669064651448320*x^6+1508488702\
9061609772085248*x^4-197532664133222617694208*x^2+479317228027796537344
Common denominator of the automorphisms:
9548331044490415829008450960473744963892238695082622918700736394615010458180\
2459090696812358327979801811728872911153814853673666529903515446012217979163\
4040853511685936382546147840678949727196077222243226972850074479748626666024\
7765882541842759434912716222596562903309327340992483857124071003546092250422\
7937472129808634329323272570640377702577634093375037057138256576157180739190\
7840
Complex polynomial:
x^108+72*x^102+4644*x^96+49932*x^90+655020*x^84-7905276*x^78+9033174*x^72-23\
4521568*x^66+1412847684*x^60+1198371942*x^54+2023699140*x^48+507862224*x^42+\
562426173*x^36-520415604*x^30+428958180*x^24-162950454*x^18+94933296*x^12+26\
2440*x^6+729
Common denominator of the automorphisms:
95539107517975092648364397520368094684

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.