Group GAP4(64,190)

Name: (C2 x D16) : C2
Maximal quotient:GAP4(32,39)
Real polynomial:
x^64-384*x^62+70272*x^60-8156160*x^58+674107520*x^56-42229082112*x^54+208381\
9788288*x^52-83104987889664*x^50+2727063784822016*x^48-74581512653611008*x^4\
6+1715705533631913984*x^44-33417842622472323072*x^42+553577488970394714112*x\
^40-7820531319504378789888*x^38+94341160351026139889664*x^36-971717201246496\
680312832*x^34+8534274161122845609869312*x^32-63745248735843138816442368*x^3\
0+403350842474276082951389184*x^28-2150604214914734515134922752*x^26+9595912\
476561071183532916736*x^24-35520360910687988330407133184*x^22+10789689041951\
9162341688082432*x^20-265333910539938313704132575232*x^18+519334527012072129\
192538406912*x^16-791734497558854416718182219776*x^14+9139405439963644902896\
31461376*x^12-768659266084017835614287167488*x^10+44535047347133970226192423\
3216*x^8-162497137724609479937234042880*x^6+31580103037251501496782028800*x^\
4-2174215514482835957219328000*x^2+29436678673827585064960000
Common denominator of the automorphisms:
1386112569986851052909996827026288880750794483397149327360000
Complex polynomial:
x^64-8*x^56+184*x^48-128*x^40+18736*x^32-65024*x^24+297856*x^16+8704*x^8+256
Common denominator of the automorphisms:
16139409408

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Thu, 19 Dec 2013 12:12:28 +0100
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