Group GAP4(56,8)

Name: C28 x C2
Maximal quotients:GAP4(8,2) GAP4(28,2) GAP4(28,4)
Real polynomial:

x^56-55*x^54+1430*x^52-23376*x^50+269549*x^48-2331763*x^46+15712291*x^44-845\
28927*x^42+369192453*x^40-1324227269*x^38+3930683234*x^36-9701434336*x^34+19\
956910557*x^32-34226159987*x^30+48854176735*x^28-57830355571*x^26+5645092978\
5*x^24-45083792745*x^22+29150001375*x^20-15051260895*x^18+6096849825*x^16-18\
93097305*x^14+436964685*x^12-71911785*x^10+7953825*x^8-540981*x^6+19530*x^4-\
280*x^2+1

Common denominator of the automorphisms:

Complex polynomial:

x^56-x^54+x^52-x^50+x^48-x^46+x^44-x^42+x^40-x^38+x^36-x^34+x^32-x^30+x^28-x\
^26+x^24-x^22+x^20-x^18+x^16-x^14+x^12-x^10+x^8-x^6+x^4-x^2+1

Common denominator of the automorphisms:

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.