Group GAP4(32,7)
Name: (C8 : C2) : C2
Maximal quotient:GAP4(16,3)
Real polynomial:
x^32-64*x^30+1856*x^28-32256*x^26+374400*x^24-3061760*x^22+18135040*x^20-787\
57888*x^18+251040272*x^16-582107648*x^14+962943488*x^12-1099345920*x^10+8203\
19232*x^8-363675648*x^6+78462976*x^4-4325376*x^2+16384
Common denominator of the automorphisms:
458752
Complex polynomial:
x^32-12*x^28+68*x^24-244*x^20+630*x^16-244*x^12+68*x^8-12*x^4+1
Common denominator of the automorphisms:
256
Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Sat, 16 Jun 2018 12:23:16 +0200
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