Group GAP4(64,52)

Name: D64
Maximal quotient:GAP4(32,18)
Real polynomial:
x^64-576*x^62+134880*x^60-17229568*x^58+1382088480*x^56-75577054464*x^54+296\
9862249216*x^52-86941179270144*x^50+1945330280503872*x^48-33896468351325184*\
x^46+466318350049179648*x^44-5116339415170019328*x^42+45095471687795811328*x\
^40-320891434066583568384*x^38+1849105860896401711104*x^36-86408339336770904\
06400*x^34+32742335858580518392320*x^32-100459323515448118837248*x^30+248865\
292547579095023616*x^28-495639886604594960400384*x^26+7889075104011907933470\
72*x^24-995770672033041930256384*x^22+986776684842672254877696*x^20-75806911\
2213707214028800*x^18+444375705692905835986944*x^16-194879389608939091918848\
*x^14+62371623416848057368576*x^12-14111208180267505156096*x^10+216187859194\
1835227136*x^8-210775673633928904704*x^6+11831463850836754432*x^4-3125113980\
99812352*x^2+1958525559373824
Common denominator of the automorphisms:
3736320775666181766732653920282888949233035446133054329436193904918445218492\
8065183775410068288591423960606608309230763163400183366071578073640043587225\
52472022353941949841408
Complex polynomial:
x^64-32*x^60+752*x^56-10912*x^52+211552*x^48-2379936*x^44+6958384*x^40+12491\
232*x^36+46611718*x^32+12491232*x^28+6958384*x^24-2379936*x^20+211552*x^16-1\
0912*x^12+752*x^8-32*x^4+1
Common denominator of the automorphisms:
2601157036887500

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