Group GAP4(64,151)

Name: (C2 x Q16) : C2
Maximal quotients:GAP4(32,28) GAP4(32,44)
Real polynomial:

x^64-240*x^62+26160*x^60-1730000*x^58+78242040*x^56-2585307600*x^54+65074106\
000*x^52-1283876804400*x^50+20263760651100*x^48-259714739414000*x^46+2733128\
395326000*x^44-23808809983314000*x^42+172678730404477000*x^40-10467037299261\
30000*x^38+5313875207565450000*x^36-22607001590397310000*x^34+80521606443952\
623750*x^32-239533921243804050000*x^30+592762988280166250000*x^28-1213390565\
377336950000*x^26+2039172932163257325000*x^24-2786246716720189750000*x^22+30\
57260009933838750000*x^20-2652184237230890250000*x^18+1783207888577431937500\
*x^16-905749475433881250000*x^14+336023845685156250000*x^12-8694565837005375\
0000*x^10+14667217040986875000*x^8-1442162099193750000*x^6+65226353118750000\
*x^4-514791956250000*x^2+903687890625

Common denominator of the automorphisms:

4423280188469767977250925871194392695183609865639605046165169806416577588508\
1600000000

Complex polynomial:

x^64+20*x^60+1250*x^56-18340*x^52+113841*x^48-436240*x^44+1251600*x^40-30316\
80*x^36+6460000*x^32-12126720*x^28+20025600*x^24-27919360*x^20+29143296*x^16\
-18780160*x^12+5120000*x^8+327680*x^4+65536

Common denominator of the automorphisms:

5596269503934627840

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