Group GAP4(96,138)

Name: C2 x ((C3 x D8) : C2)
Maximal quotients:GAP4(32,39) GAP4(48,15) GAP4(48,43)
Real polynomial:
x^96-414*x^94+61653*x^92-5022018*x^90+264164904*x^88-9806742522*x^86+2715100\
96699*x^84-5819908999680*x^82+99222963939987*x^80-1372926607979274*x^78+1566\
0702211370940*x^76-149103716642943552*x^74+1196833010269987661*x^72-81662685\
60152268360*x^70+47690676181456442736*x^68-239750063665036917318*x^66+104256\
7807328197434651*x^64-3937747238621050448628*x^62+12962406241553292257195*x^\
60-37296330910256085253722*x^58+94018665729747646560744*x^56-208040722768735\
634438046*x^54+404663824197299600605653*x^52-692617011027988546302030*x^50+1\
043775369591597151209709*x^48-1385234022055977092604060*x^46+161865529678919\
8402422612*x^44-1664325782149885075504368*x^42+1504298651675962344971904*x^4\
0-1193482589128194728119104*x^38+829593999459410704460480*x^36-5040316465434\
94457424384*x^34+266897358676018543270656*x^32-122752032596498901666816*x^30\
+48835252409811397361664*x^28-16724518011191845601280*x^26+49022280100658694\
59456*x^24-1221457646738993577984*x^22+256584945031101480960*x^20-4498805909\
0264850432*x^18+6502676164770988032*x^16-762827112406056960*x^14+71174742789\
062656*x^12-5141557423374336*x^10+276996978376704*x^8-10531935092736*x^6+258\
591424512*x^4-3472883712*x^2+16777216
Common denominator of the automorphisms:
4781419891990137016367753031093263965776863992047501802162448710975474288697\
8764200618958446876258312289119886743961600
Complex polynomial:
x^96+38412*x^72+76838*x^48+38412*x^24+1
Common denominator of the automorphisms:
439040

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