Group GAP4(40,7)

Name: C2 x (C5 : C4)
Maximal quotients:GAP4(8,2) GAP4(20,1) GAP4(20,4)
Real polynomial:

x^40-440*x^38+89540*x^36-11180400*x^34+958253450*x^32-59751209408*x^30+28030\
34676640*x^28-100909248359040*x^26+2818363772527875*x^24-61337293285983000*x\
^22+1039053762411330424*x^20-13615190158516413280*x^18+136395289801594577930\
*x^16-1025891977558698175200*x^14+5642794232165239271100*x^12-21856197286660\
770766832*x^10+56432005089863364854145*x^8-89464077344560751858520*x^6+76448\
702529906713584600*x^4-27799372526645865032800*x^2+1597880894442593779216

Common denominator of the automorphisms:

1022338879535970848332800

Complex polynomial:

x^40+440*x^38+89540*x^36+11180400*x^34+958253450*x^32+59751209408*x^30+28030\
34676640*x^28+100909248359040*x^26+2818363772527875*x^24+61337293285983000*x\
^22+1039053762411330424*x^20+13615190158516413280*x^18+136395289801594577930\
*x^16+1025891977558698175200*x^14+5642794232165239271100*x^12+21856197286660\
770766832*x^10+56432005089863364854145*x^8+89464077344560751858520*x^6+76448\
702529906713584600*x^4+27799372526645865032800*x^2+1597880894442593779216

Common denominator of the automorphisms:

1022338879535970848332800

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Sat, 16 Jun 2018 12:23:16 +0200
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