Group GAP4(64,71)
Name: (C4 x C4 x C2) : C2
Maximal quotients:GAP4(32,22) GAP4(32,25) GAP4(32,28) GAP4(32,31) GAP4(32,34)
Real polynomial:
x^64-128*x^62+7808*x^60-302080*x^58+8322335*x^56-173784464*x^54+2858581712*x\
^52-38003485312*x^50+415740590065*x^48-3790779103840*x^46+29078334976736*x^4\
4-188895259052288*x^42+1043901066412543*x^40-4921814734397360*x^38+198257574\
05652080*x^36-68236848762222976*x^34+200451074544208913*x^32-501409363159450\
688*x^30+1064216725845138240*x^28-1907244338241953280*x^26+28679098472978328\
48*x^24-3589289610723650304*x^22+3701192282762045184*x^20-310495722780257280\
0*x^18+2085453079229729280*x^16-1098749028057563136*x^14+442177603424698368*\
x^12-131183220765360128*x^10+27320397899530240*x^8-3721945816760320*x^6+2971\
46562117632*x^4-11297395572736*x^2+107206475776
Common denominator of the automorphisms:
1478122905600000
Complex polynomial:
x^64+4*x^60+10*x^56+12*x^52-29*x^48+164*x^44+772*x^40+2208*x^36+3573*x^32-22\
08*x^28+772*x^24-164*x^20-29*x^16-12*x^12+10*x^8-4*x^4+1
Common denominator of the automorphisms:
575700
Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Sat, 16 Jun 2018 12:23:16 +0200
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