Group GAP4(20,3)
Name: C5 : C4
Maximal quotient:GAP4(4,1)
Real polynomial:
x^20-5*x^19-35*x^18+215*x^17+120*x^16-2121*x^15+1735*x^14+7145*x^13-11480*x^\
12-5515*x^11+19881*x^10-5515*x^9-11480*x^8+7145*x^7+1735*x^6-2121*x^5+120*x^\
4+215*x^3-35*x^2-5*x+1
Common denominator of the automorphisms:
14865
Complex polynomial:
x^20-2*x^19+10*x^17-15*x^16+40*x^14-64*x^13+46*x^12+8*x^11-32*x^10+8*x^9+46*\
x^8-64*x^7+40*x^6-15*x^4+10*x^3-2*x+1
Common denominator of the automorphisms:
8
Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Sat, 16 Jun 2018 12:23:16 +0200
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