Group GAP4(108,4)

Name: D108
Maximal quotients:GAP4(36,4) GAP4(54,1)
Real polynomial:
x^108-544*x^106+136630*x^104-21205526*x^102+2294958767*x^100-185178622548*x^\
98+11626218852837*x^96-585027834117760*x^94+24111492651671931*x^92-827459585\
207127016*x^90+23952123804053567175*x^88-590847140851114764638*x^86+12523834\
738793982334293*x^84-229643577612948977367052*x^82+3662758513477479129022082\
*x^80-51042815777231849730261504*x^78+623721647641624561669667039*x^76-67020\
47084076223780950455450*x^74+63463813567689416961571879012*x^72-530429345696\
595985993471091962*x^70+3916986748312773127167087915975*x^68-255690922037621\
65450032895780024*x^66+147542944554445112318419451241413*x^64-75223978688175\
8000104590647344508*x^62+3385499407774625664792896433975338*x^60-13431215113\
068548996118061005128714*x^58+46885654887900378800756607245722663*x^56-14368\
7098159051079437845106429548644*x^54+385562368135534328631135442812758980*x^\
52-903143993583866602118858436072400618*x^50+1840579598210044086328037226268\
632975*x^48-3251863198722975161305150318284003024*x^46+496215456982943600673\
4953946937471558*x^44-6515245023539863550628622412212610248*x^42+73333631385\
86335246377388234193612212*x^40-7050823865178000513401115387691732162*x^38+5\
771256618174103642397391639891821043*x^36-4008563068830257581351846308150208\
494*x^34+2355111391224403062202764611493794570*x^32-116657014482054398301660\
2223643924360*x^30+485431639763159592029971780567806949*x^28-168993558328113\
407147833741521644344*x^26+48976871875142436990801599605061926*x^24-11744979\
841027736432688887680860506*x^22+2312878549413398134847548406641468*x^20-370\
433513652588687351533460832184*x^18+47660898034092660942877024369076*x^16-48\
47677656171141352709397623162*x^14+381564899504563372966351594136*x^12-22574\
345349577079995589163040*x^10+962949364643877061327098153*x^8-27791890151833\
349789113276*x^6+487011964210755919624486*x^4-4143626715749671829012*x^2+816\
4836523760689249
Common denominator of the automorphisms:
3276191733436830147171910757100207663707870200453159081308657837097616920954\
9861222315045845113264875997291228698372897576911173246577362374562254133352\
4220897020907476964443297447924901132418714484725798500611994059170907080500\
5526995266458475758730596132915633035248027201862566567152522570547707202079\
0749050511909399096414147852438601869978275214478815349993171459169772603553\
7660119659396533149681468277973975312053059873176093406738347887408566794047\
4613430080270405749672892404316761740761236596776006613006459558247907932721\
7678391284307539401536390228112579008949662474070949063900708724309863806708\
74123415526161613632283125521943947629394414662161139378311934117567204
Complex polynomial:
x^108-216*x^102+730944*x^96+83152584*x^90-642273948*x^84-545602209912*x^78+5\
5639313396784*x^72+776995440399144*x^66-112445395913760210*x^60+571195924164\
8164344*x^54+78964154293053189024*x^48-6583827276505691571240*x^42+861367865\
86590685807860*x^36-11653030062850067166888*x^30-1544318049503379099647376*x\
^24-26002914004838872879238088*x^18+179375828810962814265762297*x^12+2235964\
8590566142493007872*x^6+3308997488893940176257024
Common denominator of the automorphisms:
1089495781040043520392279884735163774304089691344083896421354220112584200167\
748891323671696632703187930478767800669064742830080000000

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.