Group GAP4(64,21)

Name: (C8 x C2) : C4
Maximal quotients:GAP4(32,2) GAP4(32,9) GAP4(32,10) GAP4(32,13) GAP4(32,14)
Real polynomial:
x^64-384*x^62+70272*x^60-8156160*x^58+674106624*x^56-42228781056*x^54+208377\
1920384*x^52-83100197486592*x^50+2726725232007711*x^48-74563541405623008*x^4\
6+1714961516161082400*x^44-33393217890107817216*x^42+552914899670015894592*x\
^40-7805868579975881899008*x^38+94072221884755643839488*x^36-967608883767826\
886713344*x^34+8481875553398888450040897*x^32-63187050753617276960452800*x^3\
0+398391805916895931938476352*x^28-2113990625445387349227194880*x^26+9372481\
916947837836246933120*x^24-34402107039535774834370979840*x^22+10335405106288\
2282039389583360*x^20-250557556616593192757752971264*x^18+481537224792893932\
422166471968*x^16-717492102675848739303720348672*x^14+8055262683048166851983\
28394752*x^12-656194459009276485503626125312*x^10+36788744168498845203521548\
4928*x^8-130812990121802892223210291200*x^6+25489015227613615251662733312*x^\
4-1971409806121551430310166528*x^2+35804212463401828700684544
Common denominator of the automorphisms:
73746219816009239255354117474301783121920
Complex polynomial:
x^64+384*x^62+70272*x^60+8156160*x^58+674106624*x^56+42228781056*x^54+208377\
1920384*x^52+83100197486592*x^50+2726725232007711*x^48+74563541405623008*x^4\
6+1714961516161082400*x^44+33393217890107817216*x^42+552914899670015894592*x\
^40+7805868579975881899008*x^38+94072221884755643839488*x^36+967608883767826\
886713344*x^34+8481875553398888450040897*x^32+63187050753617276960452800*x^3\
0+398391805916895931938476352*x^28+2113990625445387349227194880*x^26+9372481\
916947837836246933120*x^24+34402107039535774834370979840*x^22+10335405106288\
2282039389583360*x^20+250557556616593192757752971264*x^18+481537224792893932\
422166471968*x^16+717492102675848739303720348672*x^14+8055262683048166851983\
28394752*x^12+656194459009276485503626125312*x^10+36788744168498845203521548\
4928*x^8+130812990121802892223210291200*x^6+25489015227613615251662733312*x^\
4+1971409806121551430310166528*x^2+35804212463401828700684544
Common denominator of the automorphisms:
73746219816009239255354117474301783121920

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Tue, 27 May 2014 19:57:28 +0200
Copyleft © 2002-2008 the PARI group.