Group GAP4(40,4)

Name: C5 : Q8
Maximal quotients:GAP4(8,4) GAP4(20,4)
Real polynomial:
```x^40-3208*x^38+3985940*x^36-2626845136*x^34+1046251706500*x^32-2711872974216\
80*x^30+47930556309623648*x^28-5953041236304674528*x^26+52950153720536570675\
2*x^24-34103894926403287090176*x^22+1599375423082234433025312*x^20-547026474\
61950872492642304*x^18+1362310026946560176182853632*x^16-2456699190524481379\
0691080192*x^14+317270669827201774872970354688*x^12-287932814743618536655747\
2440320*x^10+17818139840685492084520167424000*x^8-71757122943156976977349606\
375424*x^6+174648825184862965512941990051840*x^4-225462145349312029523347245\
105152*x^2+112731072674656014761673622552576```
Common denominator of the automorphisms:
`3324154481246925227265758117522316977508724567965696`
Complex polynomial:
```x^40+3208*x^38+3985940*x^36+2626845136*x^34+1046251706500*x^32+2711872974216\
80*x^30+47930556309623648*x^28+5953041236304674528*x^26+52950153720536570675\
2*x^24+34103894926403287090176*x^22+1599375423082234433025312*x^20+547026474\
61950872492642304*x^18+1362310026946560176182853632*x^16+2456699190524481379\
0691080192*x^14+317270669827201774872970354688*x^12+287932814743618536655747\
2440320*x^10+17818139840685492084520167424000*x^8+71757122943156976977349606\
375424*x^6+174648825184862965512941990051840*x^4+225462145349312029523347245\
105152*x^2+112731072674656014761673622552576```
Common denominator of the automorphisms:
`3324154481246925227265758117522316977508724567965696`

Database of Galois polynomials by Bill Allombert and Igor Schein.