Group GAP4(64,112)

Name: (C8 x C4) : C2
Maximal quotients:GAP4(32,24) GAP4(32,36) GAP4(32,37)
Real polynomial:

x^64-540*x^62+119430*x^60-14954200*x^58+1215355500*x^56-69138586000*x^54+288\
7357898000*x^52-91454181400000*x^50+2249357082790000*x^48-43724227694600000*\
x^46+680855123217000000*x^44-8582071173732000000*x^42+88277743989898000000*x\
^40-745647135423320000000*x^38+5195921361566120000000*x^36-29969465226176000\
000000*x^34+143383352540656100000000*x^32-569570285790048000000000*x^30+1878\
323798503216000000000*x^28-5135981194688960000000000*x^26+116155254183926400\
00000000*x^24-21645632820876800000000000*x^22+33060233051916800000000000*x^2\
0-41090609521920000000000000*x^18+41171988225792000000000000*x^16-3285151348\
7360000000000000*x^14+20539960627200000000000000*x^12-9848306483200000000000\
000*x^10+3514710016000000000000000*x^8-894025728000000000000000*x^6+15137177\
6000000000000000*x^4-15073280000000000000000*x^2+655360000000000000000

Common denominator of the automorphisms:

1450643200778351254689314798812250841492411748458233248308470322243381596061\
696000000000000000

Complex polynomial:

x^64+80*x^60+3200*x^56+77280*x^52+1229936*x^48+13023040*x^44+92147200*x^40+4\
07088000*x^36+917023840*x^32+126109440*x^28-51200*x^24-19863040*x^20-964864*\
x^16-107520*x^12+204800*x^8+10240*x^4+256

Common denominator of the automorphisms:

2963391242138604114760826880

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