Group GAP4(128,1)

Name: C128
Maximal quotient:GAP4(64,1)
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+896279371728*x^112-10403870354176*x^110+1057139\
03005568*x^108-949207352861184*x^106+7589567411885760*x^104-5438090041212057\
6*x^102+351022578975981312*x^100-2050220372780067840*x^98+108757783837317661\
20*x^96-52563380423759251200*x^94+232075288719446148480*x^92-938162393606568\
399360*x^90+3479018876291024480960*x^88-11853746558470887150080*x^86+3715732\
7333800250886400*x^84-107271588476710289515520*x^82+285455885682015121379040\
*x^80-700614057285567210530304*x^78+1586684776793784565024512*x^76-331650283\
3782387979699200*x^74+6398481538604449952262528*x^72-11392907567170305871113\
216*x^70+18716919574636931073971712*x^68-28358591813118010632861696*x^66+396\
02330364022221879875220*x^64-50933523453823795412968704*x^62+602723985301506\
86561904768*x^60-65549705313896599210182144*x^58+65430955847748235805815872*\
x^56-59853681024967201152929280*x^54+50088080436683078859556608*x^52-3826954\
4603308419802807296*x^50+26636472806280008101385760*x^48-1684661694728558964\
8647680*x^46+9654622669125462506284800*x^44-4997687028723768826782720*x^42+2\
328467820200846839751040*x^40-972532744180273378851840*x^38+3625082286101443\
18840320*x^36-119979082755130507417600*x^34+35056388242514695136080*x^32-898\
3708896040965532160*x^30+2004058138347600003328*x^28-385807983853013904384*x\
^26+63455260502140444800*x^24-8811900326334974976*x^22+1018793280972662272*x\
^20-96423772545357824*x^18+7317875594960192*x^16-433973348848640*x^14+194539\
77707008*x^12-630784833536*x^10+13914371328*x^8-190654464*x^6+1397760*x^4-40\
96*x^2+2
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+896279371728*x^112+10403870354176*x^110+1057139\
03005568*x^108+949207352861184*x^106+7589567411885760*x^104+5438090041212057\
6*x^102+351022578975981312*x^100+2050220372780067840*x^98+108757783837317661\
20*x^96+52563380423759251200*x^94+232075288719446148480*x^92+938162393606568\
399360*x^90+3479018876291024480960*x^88+11853746558470887150080*x^86+3715732\
7333800250886400*x^84+107271588476710289515520*x^82+285455885682015121379040\
*x^80+700614057285567210530304*x^78+1586684776793784565024512*x^76+331650283\
3782387979699200*x^74+6398481538604449952262528*x^72+11392907567170305871113\
216*x^70+18716919574636931073971712*x^68+28358591813118010632861696*x^66+396\
02330364022221879875220*x^64+50933523453823795412968704*x^62+602723985301506\
86561904768*x^60+65549705313896599210182144*x^58+65430955847748235805815872*\
x^56+59853681024967201152929280*x^54+50088080436683078859556608*x^52+3826954\
4603308419802807296*x^50+26636472806280008101385760*x^48+1684661694728558964\
8647680*x^46+9654622669125462506284800*x^44+4997687028723768826782720*x^42+2\
328467820200846839751040*x^40+972532744180273378851840*x^38+3625082286101443\
18840320*x^36+119979082755130507417600*x^34+35056388242514695136080*x^32+898\
3708896040965532160*x^30+2004058138347600003328*x^28+385807983853013904384*x\
^26+63455260502140444800*x^24+8811900326334974976*x^22+1018793280972662272*x\
^20+96423772545357824*x^18+7317875594960192*x^16+433973348848640*x^14+194539\
77707008*x^12+630784833536*x^10+13914371328*x^8+190654464*x^6+1397760*x^4+40\
96*x^2+2
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
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