Group GAP4(96,4)

Name: C16 x S3
Maximal quotients:GAP4(32,16) GAP4(48,4)
Real polynomial:
x^96-288*x^94+39744*x^92-3500928*x^90+221248800*x^88-10690258176*x^86+410980\
677120*x^84-12917985629184*x^82+338558713412544*x^80-7508249542665216*x^78+1\
42512133687953408*x^76-2335992821974020096*x^74+33305638128459992064*x^72-41\
5444080928062873600*x^70+4555173086444477988864*x^68-44071680839794390499328\
*x^66+377417637801762143712768*x^64-2867911656878840233623552*x^62+193742971\
78776845565100032*x^60-116526914687874465908785152*x^58+62459182177037241927\
8929920*x^56-2985276315520098052008837120*x^54+12725246489605073514424958976\
*x^52-48366801724424577288813674496*x^50+163819461407226359269147213824*x^48\
-493954193161767726530203484160*x^46+1324035756213187527593919774720*x^44-31\
49247805951956489296890822656*x^42+6631486803438148496725907079168*x^40-1232\
8172358815145065154481225728*x^38+20165990994720465042032100900864*x^36-2891\
0715460332945647250431803392*x^34+36158014551780273423277426802688*x^32-3923\
7946974727105225368312741888*x^30+36713283724536815999894843031552*x^28-2940\
0820747804500674818414215168*x^26+19979325210081954071947065163776*x^24-1140\
5335193361479927201330626560*x^22+5404761317732634652449813037056*x^20-20962\
79609586980594736596779008*x^18+654278826578561041928112046080*x^16-16098138\
8429623750644769751040*x^14+30441356320153386936302567424*x^12-4285195959062\
853385967370240*x^10+430914893726320280073142272*x^8-29276526693861565636018\
176*x^6+1237580239697377883062272*x^4-28131711507080398503936*x^2+2412768466\
74567757824
Common denominator of the automorphisms:
1562095586627411342904958288681805750004812765687485475755942801557550784901\
6804283686621645444158625037653785239347405401038475195995064545402814631951\
15813076992
Complex polynomial:
x^96+61632034178*x^64-127070847*x^32+65536
Common denominator of the automorphisms:
27462889492458176512

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.