Group GAP4(64,46)

Name: C16 : C4
Maximal quotient:GAP4(32,13)
Real polynomial:

x^64-144*x^62+9264*x^60-356064*x^58+9222096*x^56-171990240*x^54+2408162688*x\
^52-26042884224*x^50+221954351136*x^48-1512852473664*x^46+8336924661888*x^44\
-37442360196864*x^42+137834226190656*x^40-417499358048640*x^38+1042809111038\
592*x^36-2149208854555392*x^34+3651754335416352*x^32-5103239843407104*x^30+5\
842719251230464*x^28-5450246526666240*x^26+4112757638472960*x^24-24883142242\
36032*x^22+1194325542291456*x^20-449200031311872*x^18+130552165200384*x^16-2\
8860585845760*x^14+4766136256512*x^12-575470448640*x^10+49413141504*x^8-2899\
556352*x^6+108988416*x^4-2322432*x^2+20736

Common denominator of the automorphisms:

370994564915219396477387845096418804354869369622167375280556754914349056

Complex polynomial:

x^64+144*x^62+9264*x^60+356064*x^58+9222096*x^56+171990240*x^54+2408162688*x\
^52+26042884224*x^50+221954351136*x^48+1512852473664*x^46+8336924661888*x^44\
+37442360196864*x^42+137834226190656*x^40+417499358048640*x^38+1042809111038\
592*x^36+2149208854555392*x^34+3651754335416352*x^32+5103239843407104*x^30+5\
842719251230464*x^28+5450246526666240*x^26+4112757638472960*x^24+24883142242\
36032*x^22+1194325542291456*x^20+449200031311872*x^18+130552165200384*x^16+2\
8860585845760*x^14+4766136256512*x^12+575470448640*x^10+49413141504*x^8+2899\
556352*x^6+108988416*x^4+2322432*x^2+20736

Common denominator of the automorphisms:

370994564915219396477387845096418804354869369622167375280556754914349056

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Sat, 16 Jun 2018 12:23:16 +0200
Copyleft © 2002-2008 the PARI group.