Group GAP4(108,38)

Name: C3 x S3 x S3
Maximal quotients:GAP4(36,10) GAP4(36,12)
Real polynomial:
x^108-612*x^106+160596*x^104-24059940*x^102+2326831848*x^100-156490830936*x^\
98+7702995040860*x^96-287977686608568*x^94+8406920069305920*x^92-19577293571\
6646704*x^90+3697966331704311984*x^88-57417814262396287584*x^86+740736178849\
043734608*x^84-8009549827143866228160*x^82+73112913666658633546944*x^80-5667\
51787397502396620864*x^78+3749209605720063263593536*x^76-2125283236488259511\
5426176*x^74+103590438437999707175873280*x^72-435421423880861206840925568*x^\
70+1582182348795621696524076288*x^68-4980460890141335140029476096*x^66+13605\
765571933139778590784768*x^64-32305224363257648227771722240*x^62+66752486090\
870994168117612544*x^60-120158432673179208459518570496*x^58+1885736260163874\
03091450407936*x^56-258163370768356170769531041792*x^54+30841687812966364089\
9306777600*x^52-321547292618070922326129770496*x^50+292504107580620069041263\
107072*x^48-232055879278810110744741359616*x^46+1604303486823637922671420416\
00*x^44-96544997161494430627433144320*x^42+50498897604884979891600998400*x^4\
0-22915604531058906811701657600*x^38+9000725792644991935386185728*x^36-30514\
72705502865616474816512*x^34+889977407332692234522378240*x^32-22241666730781\
2129886191616*x^30+47407060070423562257301504*x^28-8570511596254779565572096\
*x^26+1305624774992996446683136*x^24-166302112663996447948800*x^22+175463305\
73342375804928*x^20-1516174042498673737728*x^18+105799595646996381696*x^16-5\
857100819942473728*x^14+251387642962903040*x^12-8110706831130624*x^10+188412\
026683392*x^8-2958169735168*x^6+28436594688*x^4-141557760*x^2+262144
Common denominator of the automorphisms:
1248880915236719277116211052972405450215001595895780982684829798420453645682\
7272627242925080880115057429249664617863918482166392976713652148507432342033\
8838794655651778405327822521213273367988893667415547776489255068768257673717\
9669716323762180022147825584220140516887006574196312165186054429246023688306\
5357477953696523442798700078689157120
Complex polynomial:
x^108-24*x^105+198*x^102-3536*x^99+60921*x^96-351504*x^93+812720*x^90-769750\
8*x^87+63899064*x^84-196572784*x^81+380929515*x^78-1267215516*x^75+324557434\
4*x^72-3820750608*x^69+5528650566*x^66-12853231848*x^63+8815543446*x^60+5949\
745416*x^57-1057217511*x^54-6211352016*x^51-198677679*x^48+2981282868*x^45-1\
255846398*x^42-124305168*x^39+511417805*x^36-16797780*x^33-29679231*x^30-146\
53264*x^27+923265*x^24+1344072*x^21-182851*x^18-34416*x^15+14292*x^12+1324*x\
^9+9*x^6+12*x^3+1
Common denominator of the automorphisms:
29387037982299564160741688940391518669270410142297243857284532089740

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.