Group GAP4(64,240)

Name: (C4 x D8) : C2
Maximal quotients:GAP4(32,48) GAP4(32,49)
Real polynomial:
x^64-360*x^62+55404*x^60-4857840*x^58+273063024*x^56-10497603240*x^54+287506\
210104*x^52-5768560388520*x^50+86506883462466*x^48-983949045842880*x^46+8580\
621170581092*x^44-57820790806574760*x^42+302730546951065376*x^40-12360648360\
79802520*x^38+3945079639516828932*x^36-9855804559072086720*x^34+192862674982\
01299347*x^32-29567413677216260160*x^30+35505716755651460388*x^28-3337375057\
4154668040*x^26+24521174303036295456*x^24-14050452165997666680*x^22+62552728\
33353616068*x^20-2151896563258378560*x^18+567571662397239426*x^16-1135425741\
27239160*x^14+16976954200431096*x^12-1859618921156280*x^10+145116886537584*x\
^8-7744966042320*x^6+264995614476*x^4-5165606520*x^2+43046721
Common denominator of the automorphisms:
9264432937662527316770656629666222470887135375134532821600
Complex polynomial:
x^64+28*x^60+708*x^56+2384*x^52+9920*x^48+21120*x^44+75712*x^40+185344*x^36+\
255744*x^32+741376*x^28+1211392*x^24+1351680*x^20+2539520*x^16+2441216*x^12+\
2899968*x^8+458752*x^4+65536
Common denominator of the automorphisms:
351172952064

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