Group GAP4(64,44)

Name: C4 : C16
Maximal quotients:GAP4(32,12) GAP4(32,16) GAP4(32,17)
Real polynomial:
x^64-124*x^62+7318*x^60-273536*x^58+7270148*x^56-146232144*x^54+2313143864*x\
^52-29521214656*x^50+309439727248*x^48-2698025883584*x^46+19746906176480*x^4\
4-122102465595904*x^42+640614635271232*x^40-2859144041150720*x^38+1086694538\
2671232*x^36-35162642290820096*x^34+96707484356286720*x^32-22541177295019827\
2*x^30+443373271440145920*x^28-731692455412824064*x^26+1005561039712150528*x\
^24-1139988777705709568*x^22+1053533388729300992*x^20-781950699547009024*x^1\
8+457417814864891904*x^16-205856657586454528*x^14+69055890387361792*x^12-165\
43332252745728*x^10+2662639930589184*x^8-261883075362816*x^6+13281181532160*\
x^4-234438131712*x^2+18939904
Common denominator of the automorphisms:
3535313010688
Complex polynomial:
x^64+124*x^62+7318*x^60+273536*x^58+7270148*x^56+146232144*x^54+2313143864*x\
^52+29521214656*x^50+309439727248*x^48+2698025883584*x^46+19746906176480*x^4\
4+122102465595904*x^42+640614635271232*x^40+2859144041150720*x^38+1086694538\
2671232*x^36+35162642290820096*x^34+96707484356286720*x^32+22541177295019827\
2*x^30+443373271440145920*x^28+731692455412824064*x^26+1005561039712150528*x\
^24+1139988777705709568*x^22+1053533388729300992*x^20+781950699547009024*x^1\
8+457417814864891904*x^16+205856657586454528*x^14+69055890387361792*x^12+165\
43332252745728*x^10+2662639930589184*x^8+261883075362816*x^6+13281181532160*\
x^4+234438131712*x^2+18939904
Common denominator of the automorphisms:
3535313010688

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