Group GAP4(64,228)

Name: (C4 x D8) : C2
Maximal quotients:GAP4(32,46) GAP4(32,48) GAP4(32,50)
Real polynomial:
x^64-288*x^62+35532*x^60-2498904*x^58+112738343*x^56-3483664128*x^54+7684893\
5436*x^52-1244692913472*x^50+15096189524137*x^48-139048265751192*x^46+982539\
637875504*x^44-5365326484692864*x^42+22763250577048520*x^40-7533925426610352\
0*x^38+195120403624923840*x^36-396338498287139520*x^34+632306162758893616*x^\
32-792676996574279040*x^30+780481614499695360*x^28-602714034128828160*x^26+3\
64212009232776320*x^24-171690447510171648*x^22+62882536824032256*x^20-177981\
78016152576*x^18+3864624518179072*x^16-637282771697664*x^14+78693309886464*x\
^12-7134544134144*x^10+461776252928*x^8-20471021568*x^6+582156288*x^4-943718\
4*x^2+65536
Common denominator of the automorphisms:
10569040016839087409579490801482918924828711374357065414871849697280
Complex polynomial:
x^64+158*x^56+739*x^48+1100*x^40+1045*x^32+1100*x^24+739*x^16+158*x^8+1
Common denominator of the automorphisms:
693528

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Thu, 19 Dec 2013 12:12:28 +0100
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