Group GAP4(128,42)

Name: C16 x C8
Maximal quotients:GAP4(64,2) GAP4(64,26)
Real polynomial:
x^128-128*x^126+8000*x^124-325376*x^122+9683872*x^120-224854784*x^118+424090\
8672*x^116-66793059840*x^114+896279371727*x^112-10403870354064*x^110+1057139\
02999464*x^108-949207352645472*x^106+7589567406328180*x^104-5438090030084432\
0*x^102+351022577173515920*x^100-2050220348501962560*x^98+108757781063427411\
31*x^96-52563377694753956896*x^94+232075265330265482704*x^92-938162217356144\
976832*x^90+3479017699819450157096*x^88-11853739559973348528576*x^86+3715729\
0045887382975712*x^84-107271409802261951726464*x^82+285455113054653455018990\
*x^80-700611033753397031955040*x^78+1586674044328698567830896*x^76-331646821\
2938617677408320*x^74+6398379896381293932766648*x^72-11392635670500629010141\
120*x^70+18716256312630402638050272*x^68-28357115597352921577326976*x^66+395\
99331813493261416491951*x^64-50927964798684710128036800*x^62+602629966446101\
47839553120*x^60-65535203288568294339441792*x^58+65410572110417669255358000*\
x^56-59827598901641985293382272*x^54+50057737713554651893332288*x^52-3823750\
0524579571959479552*x^50+26605809066306033480584814*x^48-1682008599603544040\
4501664*x^46+9633918927215483546008592*x^44-4983156958960919458215872*x^42+2\
319327075063663596357832*x^40-967397547259422482185024*x^38+3599430000985387\
73144992*x^36-118845249011167196733568*x^34+34615456334308663277938*x^32-883\
3822246485306199616*x^30+1959855671100432163488*x^28-374598064516176360320*x\
^26+61035655954814587600*x^24-8372809506188053376*x^22+952775403508313536*x^\
20-88345128190764800*x^18+6530693239425604*x^16-374548844020800*x^14+1609830\
7508128*x^12-495431216512*x^10+10254008016*x^8-130166400*x^6+872256*x^4-2304\
*x^2+1
Common denominator of the automorphisms:
1
Complex polynomial:
x^128+128*x^126+8000*x^124+325376*x^122+9683872*x^120+224854784*x^118+424090\
8672*x^116+66793059840*x^114+896279371727*x^112+10403870354064*x^110+1057139\
02999464*x^108+949207352645472*x^106+7589567406328180*x^104+5438090030084432\
0*x^102+351022577173515920*x^100+2050220348501962560*x^98+108757781063427411\
31*x^96+52563377694753956896*x^94+232075265330265482704*x^92+938162217356144\
976832*x^90+3479017699819450157096*x^88+11853739559973348528576*x^86+3715729\
0045887382975712*x^84+107271409802261951726464*x^82+285455113054653455018990\
*x^80+700611033753397031955040*x^78+1586674044328698567830896*x^76+331646821\
2938617677408320*x^74+6398379896381293932766648*x^72+11392635670500629010141\
120*x^70+18716256312630402638050272*x^68+28357115597352921577326976*x^66+395\
99331813493261416491951*x^64+50927964798684710128036800*x^62+602629966446101\
47839553120*x^60+65535203288568294339441792*x^58+65410572110417669255358000*\
x^56+59827598901641985293382272*x^54+50057737713554651893332288*x^52+3823750\
0524579571959479552*x^50+26605809066306033480584814*x^48+1682008599603544040\
4501664*x^46+9633918927215483546008592*x^44+4983156958960919458215872*x^42+2\
319327075063663596357832*x^40+967397547259422482185024*x^38+3599430000985387\
73144992*x^36+118845249011167196733568*x^34+34615456334308663277938*x^32+883\
3822246485306199616*x^30+1959855671100432163488*x^28+374598064516176360320*x\
^26+61035655954814587600*x^24+8372809506188053376*x^22+952775403508313536*x^\
20+88345128190764800*x^18+6530693239425604*x^16+374548844020800*x^14+1609830\
7508128*x^12+495431216512*x^10+10254008016*x^8+130166400*x^6+872256*x^4+2304\
*x^2+1
Common denominator of the automorphisms:
1

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Sat, 16 Jun 2018 12:23:16 +0200
Copyleft © 2002-2008 the PARI group.