Group GAP4(64,227)

Name: (C2 x C2 x D8) : C2
Maximal quotients:GAP4(32,46) GAP4(32,48) GAP4(32,49)
Real polynomial:
x^64-200*x^62+15680*x^60-670000*x^58+17941156*x^56-325356200*x^54+4197399040\
*x^52-39846939800*x^50+285237043370*x^48-1567948880000*x^46+6711479442240*x^\
44-22611811375000*x^42+60463799699664*x^40-129139153187000*x^38+221341507686\
720*x^36-305433344923200*x^34+339972384213619*x^32-305433344923200*x^30+2213\
41507686720*x^28-129139153187000*x^26+60463799699664*x^24-22611811375000*x^2\
2+6711479442240*x^20-1567948880000*x^18+285237043370*x^16-39846939800*x^14+4\
197399040*x^12-325356200*x^10+17941156*x^8-670000*x^6+15680*x^4-200*x^2+1
Common denominator of the automorphisms:
14210440162573132716417697625340480
Complex polynomial:
x^64-153*x^56+10449*x^48-1958094*x^40+166058910*x^32-158605614*x^24+68555889\
*x^16-81310473*x^8+43046721
Common denominator of the automorphisms:
421722871282944

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Tue, 27 May 2014 19:57:28 +0200
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