Group GAP4(64,136)

Name: ((C4 x C4) : C2) : C2
Maximal quotient:GAP4(32,27)
Real polynomial:
x^64-480*x^62+96048*x^60-10890240*x^58+796854336*x^56-40511681280*x^54+15014\
02823424*x^52-41951205964800*x^50+905785707616128*x^48-15395458139873280*x^4\
6+208928253334477824*x^44-2288577826369290240*x^42+20404023892108443648*x^40\
-148995036557301104640*x^38+895187446937997336576*x^36-443898388178716852224\
0*x^34+18199322933142531944448*x^32-61728464824802090680320*x^30+17311742755\
2459597348864*x^28-400780786984297121710080*x^26+763796976065251595255808*x^\
24-1193499150339087893790720*x^22+1520958991438117285134336*x^20-15698121711\
82475638210560*x^18+1300587014953286317375488*x^16-855086294002551069081600*\
x^14+439504995875302687113216*x^12-173109774870561486274560*x^10+50820465820\
293604048896*x^8-10677152615684710072320*x^6+1504699318324797898752*x^4-1263\
56835688576450560*x^2+4738381338321616896
Common denominator of the automorphisms:
3110893663040432820381291521285382119532634092763681419922055009434337280
Complex polynomial:
x^64+840*x^56+12348*x^48+778680*x^40+7004070*x^32+7008120*x^24+1000188*x^16+\
612360*x^8+6561
Common denominator of the automorphisms:
92231073792

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