Group GAP4(64,163)

Name: ((C8 x C2) : C2) : C2
Maximal quotients:GAP4(32,30) GAP4(32,42) GAP4(32,43)
Real polynomial:
x^64-360*x^62+52920*x^60-4418400*x^58+241251900*x^56-9316152000*x^54+2673020\
16000*x^52-5893243380000*x^50+102262194630000*x^48-1421577861300000*x^46+160\
43407223850000*x^44-148478805202500000*x^42+1135445188641750000*x^40-7214859\
114547500000*x^38+38242977931417500000*x^36-169515150313500000000*x^34+62906\
2644727335937500*x^32-1954138979840625000000*x^30+5074515611274937500000*x^2\
8-10986094953748125000000*x^26+19747566823705312500000*x^24-2930304952856250\
0000000*x^22+35621791731815625000000*x^20-35121602349000000000000*x^18+27722\
806377609375000000*x^16-17223896022890625000000*x^14+8236130941406250000000*\
x^12-2941089560156250000000*x^10+752206262695312500000*x^8-12973352343750000\
0000*x^6+13762722656250000000*x^4-768867187500000000*x^2+16018066406250000
Common denominator of the automorphisms:
346597217990469060155370106896009203207444842436995592948478588867187500000
Complex polynomial:
x^64-216*x^56+464508*x^48+13022424*x^40+104618790*x^32+117201816*x^24+376251\
48*x^16-157464*x^8+6561
Common denominator of the automorphisms:
46752769769472

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