Group GAP4(64,236)

Name: (C4 x D8) : C2
Maximal quotients:GAP4(32,48) GAP4(32,49)
Real polynomial:
x^64-276*x^62+32904*x^60-2245092*x^58+98319349*x^56-2946861564*x^54+63026892\
648*x^52-990298132140*x^50+11671358850934*x^48-104738772437124*x^46+72344532\
1885128*x^44-3875844133231008*x^42+16195293242258956*x^40-52991282052104100*\
x^38+136164471572150208*x^36-275319461546873208*x^34+438577326586767841*x^32\
-550638923093746416*x^30+544657886288600832*x^28-423930256416832800*x^26+259\
124691876143296*x^24-124027012263392256*x^22+46300500600648192*x^20-13406562\
871951872*x^18+2987867865839104*x^16-507032643655680*x^14+64539538071552*x^1\
2-6035172483072*x^10+402716053504*x^8-18391793664*x^6+539099136*x^4-9043968*\
x^2+65536
Common denominator of the automorphisms:
2525975311294661294547240456564898504991315336088945308317930708173057976305\
254400
Complex polynomial:
x^64+58*x^56+1189*x^48+10420*x^40+39070*x^32+47050*x^24-2276*x^16+1048*x^8+1
Common denominator of the automorphisms:
120295592385384

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