Group GAP4(64,250)
Name: C2 x C2 x D16
Maximal quotients:GAP4(32,39) GAP4(32,46)
Real polynomial:
x^64-288*x^62+34752*x^60-2356992*x^58+101678920*x^56-2992145472*x^54+6283965\
2608*x^52-971634131712*x^50+11308901741608*x^48-100684197259776*x^46+6937435\
50912768*x^44-3730744087220736*x^42+15751653623570560*x^40-52419503939970816\
*x^38+137802060743016960*x^36-286352088777289728*x^34+469953079905660208*x^3\
2-607663460122343424*x^30+616501404038743040*x^28-487825174169782272*x^26+29\
8645378229240320*x^24-140001050186394624*x^22+49619104673843200*x^20-1309177\
8703540224*x^18+2524050611716736*x^16-347548927555584*x^14+33191457857536*x^\
12-2114045632512*x^10+85113688576*x^8-2014912512*x^6+25550848*x^4-147456*x^2\
+256
Common denominator of the automorphisms:
8143204905253916583893218798629734678638796026229007928272118849536000
Complex polynomial:
x^64-4*x^60+14*x^56-88*x^52+73*x^48+848*x^44+1582*x^40+3468*x^36+6708*x^32+3\
468*x^28+1582*x^24+848*x^20+73*x^16-88*x^12+14*x^8-4*x^4+1
Common denominator of the automorphisms:
2290974400
Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Sat, 16 Jun 2018 12:23:16 +0200
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