Group GAP4(64,96)

Name: C2 x (Q8 : C4)
Maximal quotients:GAP4(32,10) GAP4(32,22) GAP4(32,40) GAP4(32,41)
Real polynomial:

x^64-576*x^62+158112*x^60-27527040*x^58+3412664928*x^56-320674878720*x^54+23\
735481840000*x^52-1419847378859520*x^50+69883260823816551*x^48-2866494964539\
071952*x^46+98894687572210486536*x^44-2888499783413511364320*x^42+7174144284\
3629163559332*x^40-1519266863466351142833312*x^38+27465025871547704414311632\
*x^36-423771053960239888840317504*x^34+5572458680838141624251148063*x^32-622\
76362218489966932549735136*x^30+589077591611206176606110136624*x^28-46900364\
15799351711876784887360*x^26+31204195814747400423567725289384*x^24-171931417\
928305039090684785668544*x^22+775760205271303083268726319609568*x^20-2826923\
694788309316937723755462528*x^18+8178893865160954783287960334507389*x^16-183\
93528779696706256119330752366160*x^14+31308050160861511007152241206490952*x^\
12-38971237739094533285100072905734368*x^10+33867387790244888824306223817019\
812*x^8-19205638287832973122000055180336160*x^6+6356802921541011428053256270\
318736*x^4-973024153785259728577520309363520*x^2+284677270358935098305255826\
60036

Common denominator of the automorphisms:

45106072560313679838110913250237671234576969595726800000000

Complex polynomial:

x^64+38636062911*x^48+319231825290048108609*x^32+978939294630665297988629424\
96*x^16+536244416051020384369997005056

Common denominator of the automorphisms:

12148026906410348657494842961926505421119488

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Sat, 16 Jun 2018 12:23:16 +0200
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