Group GAP4(64,12)

Name: (C4 : C8) : C2
Maximal quotients:GAP4(32,7) GAP4(32,9)
Real polynomial:
x^64-320*x^62+47648*x^60-4389760*x^58+280695520*x^56-13247106304*x^54+479070\
198144*x^52-13607429869056*x^50+308720555499968*x^48-5660317509215232*x^46+8\
4546282330169856*x^44-1034293211200886784*x^42+10396649507170157056*x^40-860\
04145515400204288*x^38+585600807339510093824*x^36-3278898053946732994560*x^3\
4+15068632808022962914816*x^32-56683957762535680360448*x^30+1739314873677597\
18998016*x^28-433483638948798314741760*x^26+872910720981632076226560*x^24-14\
11046452914283671388160*x^22+1815916918362725927649280*x^20-1840702299417913\
691078656*x^18+1449035276238692090494976*x^16-869321335671630754217984*x^14+\
387333487467898132103168*x^12-123610143688901983207424*x^10+2679099163765822\
8097024*x^8-3626583205742174535680*x^6+264208210104005689344*x^4-75188255177\
91838208*x^2+54624111002976256
Common denominator of the automorphisms:
1874714993664804691084642241315070276454083257269994773801905625630076670406\
90388044112461824
Complex polynomial:
x^64-1056*x^56+172480*x^48+110850560*x^40+2134394368*x^32+24473444352*x^24+1\
8444566528*x^16+14008844288*x^8+65536
Common denominator of the automorphisms:
739403231242747904

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Thu, 19 Dec 2013 12:12:28 +0100
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