Group GAP4(64,113)

Name: (C4 : C8) : C2
Maximal quotients:GAP4(32,24) GAP4(32,37)
Real polynomial:

x^64-208*x^62+19216*x^60-1056080*x^58+39038480*x^56-1039588864*x^54+20836521\
792*x^52-323940405504*x^50+3992090734400*x^48-39628389849600*x^46+3207185782\
11840*x^44-2135486610437120*x^42+11777392861347840*x^40-54058891669401600*x^\
38+207163732992512000*x^36-663892694206791680*x^34+1779542098156298240*x^32-\
3984894392567726080*x^30+7434536464080896000*x^28-11506757143460249600*x^26+\
14684501887573360640*x^24-15324703825547755520*x^22+12937280871598653440*x^2\
0-8711199937803059200*x^18+4592914158845952000*x^16-1850460690651807744*x^14\
+551144816012951552*x^12-115771864676040704*x^10+15956730152222720*x^8-12718\
01388728320*x^6+43866816249856*x^4-62881005568*x^2+16777216

Common denominator of the automorphisms:

2684882851752548728594240777070879807587599792091628329223273776262496712852\
1544259341884850176000

Complex polynomial:

x^64+288*x^60+41472*x^56+300192*x^52+1101700*x^48+2205408*x^44+3073536*x^40+\
3734112*x^36+4046598*x^32+3734112*x^28+3073536*x^24+2205408*x^20+1101700*x^1\
6+300192*x^12+41472*x^8+288*x^4+1

Common denominator of the automorphisms:

1000617610667097896960

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