Group GAP4(32,4)

Name: C8 : C4
Maximal quotients:GAP4(16,2) GAP4(16,6)
Real polynomial:

x^32-80*x^30+2720*x^28-52000*x^26+622600*x^24-4914400*x^22+26190400*x^20-949\
32800*x^18+233232600*x^16-384536000*x^14+420208000*x^12-300336000*x^10+13752\
4000*x^8-38800000*x^6+6240000*x^4-480000*x^2+10000

Common denominator of the automorphisms:

7250304000

Complex polynomial:

x^32+80*x^30+2720*x^28+52000*x^26+622600*x^24+4914400*x^22+26190400*x^20+949\
32800*x^18+233232600*x^16+384536000*x^14+420208000*x^12+300336000*x^10+13752\
4000*x^8+38800000*x^6+6240000*x^4+480000*x^2+10000

Common denominator of the automorphisms:

7250304000

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