Group GAP4(64,201)

Name: (C4 x Q8) : C2
Maximal quotients:GAP4(32,45) GAP4(32,49) GAP4(32,50)
Real polynomial:

x^64-192*x^62+17564*x^60-1018800*x^58+42070095*x^56-1316321496*x^54+32431314\
772*x^52-645525654384*x^50+10567387279355*x^48-144100167804720*x^46+16518762\
67810264*x^44-16021888794179808*x^42+132057728148875301*x^40-927389681603800\
920*x^38+5555052898033232300*x^36-28374319812945160656*x^34+1233932214887769\
79222*x^32-455553653162199342144*x^30+1421805247821030879360*x^28-3730223446\
475864601600*x^26+8167064335921487617371*x^24-14786683941098442154392*x^22+2\
1889183557460764252924*x^20-26124247180063107193680*x^18+2470032341722726055\
6085*x^16-18095053767415044600816*x^14+9978697327710692384172*x^12-398401718\
5172480113584*x^10+1089599610287017991430*x^8-187625709414345137040*x^6+1764\
2990708174570544*x^4-683034073058294208*x^2+6965985734675361

Common denominator of the automorphisms:

959946741693670058963044925130000

Complex polynomial:

x^64-4*x^60+9*x^56-44*x^52+176*x^48-632*x^44+2151*x^40-6952*x^36+21247*x^32-\
62568*x^28+174231*x^24-460728*x^20+1154736*x^16-2598156*x^12+4782969*x^8-191\
31876*x^4+43046721

Common denominator of the automorphisms:

68559436368675

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