Group GAP4(96,184)

Name: C3 x ((C2 x Q8) : C2)
Maximal quotients:GAP4(32,44) GAP4(48,45)
Real polynomial:
x^96-240*x^94+26208*x^92-1740720*x^90+79267476*x^88-2643580440*x^86+67332045\
600*x^84-1348244738280*x^82+21679303863186*x^80-284491753590240*x^78+3085644\
537728784*x^76-27943657450122960*x^74+213043590924273996*x^72-13767344991410\
37480*x^70+7583472537864127920*x^68-35772217449300759600*x^66+14506377499791\
4640463*x^64-507324038403191554440*x^62+1534064074296426931968*x^60-40190189\
95056327771240*x^58+9136754850399674510934*x^56-18044371764592309365480*x^54\
+30979108187525307888864*x^52-46248471493834061566440*x^50+60031609027857830\
371752*x^48-67717308355706754599760*x^46+66323609249013353265984*x^44-563276\
15869764350223360*x^42+41410678134314218687866*x^40-26296656386832308559960*\
x^38+14385920719363387757424*x^36-6758483370792739754040*x^34+27165072987500\
34663135*x^32-930074674587259740840*x^30+269864613747861946992*x^28-65963069\
136027612720*x^26+13488106684033779030*x^24-2288433258253302840*x^22+3190485\
81095472240*x^20-36131493839712840*x^18+3277583391255759*x^16-23409612122508\
0*x^14+12883299715872*x^12-531285557760*x^10+15812938746*x^8-322120800*x^6+4\
140720*x^4-29160*x^2+81
Common denominator of the automorphisms:
9000547084633416627576122498814614529622154925712645339075254262193167163296\
566631167860792385104764297666524126625884939977008791006460654294344756
Complex polynomial:
x^96+21616*x^72+467251392*x^48+1383424*x^24+4096
Common denominator of the automorphisms:
11662594744320

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