Group GAP4(64,244)

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

x^64-1680*x^62+1078560*x^60-378730800*x^58+84254196600*x^56-12864140226000*x\
^54+1417895069724000*x^52-116814450599910000*x^50+7377317493952297500*x^48-3\
63950639613360450000*x^46+14228459105390680500000*x^44-445671831585036057750\
000*x^42+11278718942147979580125000*x^40-232080377187622667366250000*x^38+39\
00808780191285782557500000*x^36-53724657675655083208218750000*x^34+607420617\
811519651303352343750*x^32-5641089055943783736862968750000*x^30+430064168016\
08925752696437500000*x^28-268662046641821690309855156250000*x^26+13709353366\
17425760451431328125000*x^24-5688027415775866714040102343750000*x^22+1906749\
6019945138375552195312500000*x^20-51211509882597201327937769531250000*x^18+1\
08996578920001061088020272460937500*x^16-18121755324966882459845255859375000\
0*x^14+230960166040764924014516835937500000*x^12-220020453368550877806735644\
531250000*x^10+151308431958022165387602685546875000*x^8-71415340819139288037\
229980468750000*x^6+21354750258913564471309570312500000*x^4-3492599341411096\
992971191406250000*x^2+218287458838193562060699462890625

Common denominator of the automorphisms:

1415245574698515737996632692371458875000000000000000

Complex polynomial:

x^64+50400*x^56+686677500*x^48-2239123500000*x^40+2325233777343750*x^32-1133\
55627187500000*x^24+1759879327148437500*x^16+6539215429687500000*x^8+6568408\
355712890625

Common denominator of the automorphisms:

2740031408452500000000000000

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