Group GAP4(40,12)

Name: C2 x (C5 : C4)
Maximal quotients:GAP4(8,2) GAP4(20,3)
Real polynomial:

x^40-100*x^38+4130*x^36-93600*x^34+1313555*x^32-12187768*x^30+77707870*x^28-\
348502180*x^26+1114977605*x^24-2565933440*x^22+4266270820*x^20-5131866880*x^\
18+4459910420*x^16-2788017440*x^14+1243325920*x^12-390008576*x^10+84067520*x\
^8-11980800*x^6+1057280*x^4-51200*x^2+1024

Common denominator of the automorphisms:

8123243876375519232

Complex polynomial:

x^40-25*x^30+620*x^20-125*x^10+25

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
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