Group GAP4(96,182)
Name: C3 x ((C8 x C2) : C2)
Maximal quotients:GAP4(32,42) GAP4(48,45)
Real polynomial:
x^96-240*x^94+26148*x^92-1724976*x^90+77549229*x^88-2535049680*x^86+62780200\
692*x^84-1211607026112*x^82+18602448951946*x^80-230823929961672*x^78+2343544\
655230128*x^76-19664897976110784*x^74+137504328904498419*x^72-80676038007797\
5896*x^70+3994990086414757560*x^68-16780286815328890200*x^66+600424462595983\
51506*x^64-183693800674544255280*x^62+482038835101287278748*x^60-10879080856\
67398663944*x^58+2116464127928538265860*x^56-3555912553241798355552*x^54+516\
7265764978917108636*x^52-6501716631819415075824*x^50+7088954763170753690175*\
x^48-6700283350091858054232*x^46+5489941976959979154732*x^44-389801779957655\
5116408*x^42+2396523969490202815521*x^40-1274246084062711958784*x^38+5849607\
62095326224268*x^36-231338772578204810112*x^34+78599396208510238610*x^32-228\
64647688328425872*x^30+5671480641296660268*x^28-1193618181396712704*x^26+211\
883832226709142*x^24-31500321452761416*x^22+3888894786497868*x^20-3946247542\
40400*x^18+32507680149509*x^16-2140841724000*x^14+110575585056*x^12-43704778\
08*x^10+127931658*x^8-2648808*x^6+36168*x^4-288*x^2+1
Common denominator of the automorphisms:
8967344591976840613171392873213795966586258572567802672531596754960328834557\
01580586194012365783981625129839251357613801776
Complex polynomial:
x^96+1620*x^84+2622670*x^72+2805840*x^60+5617299*x^48-2805840*x^36+2622670*x\
^24-1620*x^12+1
Common denominator of the automorphisms:
16864169462289864
Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Sat, 16 Jun 2018 12:23:16 +0200
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