Group GAP4(64,225)

Name: (C4 : Q8) : C2
Maximal quotients:GAP4(32,47) GAP4(32,49) GAP4(32,50)
Real polynomial:

x^64-1248*x^62+675792*x^60-211406832*x^58+42967927548*x^56-6052220761392*x^5\
4+615260975033952*x^52-46396078428799008*x^50+2645523340027094826*x^48-11562\
7738523761236240*x^46+3911210739975962133360*x^44-103073092915057510124880*x\
^42+2125462169746150138109232*x^40-34381803918135952814268096*x^38+436723263\
886394336432643504*x^36-4354730647390337305382136144*x^34+340395940850709902\
94589345011*x^32-208087817248993860921437392464*x^30+99163113275611263669152\
4704304*x^28-3669032633186656791318314812176*x^26+10489263239415891708683726\
578992*x^24-23035748582710594639782100019520*x^22+38591029045586334418175587\
284720*x^20-48904215260537225893611287195280*x^18+46405739509327761684523856\
206506*x^16-32562909507239433076295114643888*x^14+16627017038744241604738826\
420832*x^12-6045106351378816001668670878752*x^10+151731838211316534608100025\
3308*x^8-251044856920563524430732358992*x^6+25418247695509942580333946192*x^\
4-1374912149965170264400865328*x^2+28644003124274380508351361

Common denominator of the automorphisms:

2292323749105149329329914648779051709500865959526655966149216296815955070387\
47134098780866448013407851520

Complex polynomial:

x^64-1215808*x^56+388901503936*x^48+7199302812111872*x^40+754614804991363824\
64*x^32+1686479879554078687232*x^24+21341309747952142237696*x^16-15629215038\
850685206528*x^8+3011361496339065143296

Common denominator of the automorphisms:

776245207561208213450163423805440000

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