Group GAP4(64,251)

Name: C2 x C2 x QD16
Maximal quotients:GAP4(32,40) GAP4(32,46)
Real polynomial:

x^64-252*x^62+23436*x^60-1167696*x^58+36257151*x^56-761105376*x^54+113690670\
12*x^52-125218589148*x^50+1043859729969*x^48-6718670249328*x^46+339044414634\
00*x^44-135746058346416*x^42+435198517554402*x^40-1125096691463784*x^38+2357\
858427716016*x^36-4020743879877744*x^34+5592756098176830*x^32-63537361214934\
24*x^30+5896174707696816*x^28-4464720703230984*x^26+2752325343478530*x^24-13\
76178701128560*x^22+555138193202856*x^20-179356677090480*x^18+45964838687409\
*x^16-9225780776748*x^14+1426136987556*x^12-166006736928*x^10+14105233647*x^\
8-836133840*x^6+32201388*x^4-708588*x^2+6561

Common denominator of the automorphisms:

251413452183183141609742687338043975840526133504

Complex polynomial:

x^64-10*x^56-269*x^48-3386*x^40+134625*x^32-55768*x^24+17200*x^16-2432*x^8+2\
56

Common denominator of the automorphisms:

1186842638170112

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