Group GAP4(64,179)
Name: C8 : Q8
Maximal quotients:GAP4(32,35) GAP4(32,40)
Real polynomial:
x^64-216*x^62+20688*x^60-1173096*x^58+44418632*x^56-1201340712*x^54+24230792\
112*x^52-375454349592*x^50+4565402636572*x^48-44251566465336*x^46+3459115543\
18608*x^44-2199711081561096*x^42+11453197081173752*x^40-49053141700388424*x^\
38+173365203122805360*x^36-506559998786091000*x^34+1224564033284754118*x^32-\
2448074856514907784*x^30+4040748078352612464*x^28-5490950272570217784*x^26+6\
116874870299815928*x^24-5553438803110654584*x^22+4077420978435412752*x^20-23\
96973800763840072*x^18+1113902309524088860*x^16-402563308589927784*x^14+1107\
73187798222256*x^12-22568214739102296*x^10+3276194045414216*x^8-320577739097\
112*x^6+19369277602512*x^4-615797660328*x^2+6975757441
Common denominator of the automorphisms:
2623388230455705774626576725049544945934320014776056104708332052050082775553\
07550945933359738242694835863552
Complex polynomial:
x^64+216*x^62+20688*x^60+1173096*x^58+44418632*x^56+1201340712*x^54+24230792\
112*x^52+375454349592*x^50+4565402636572*x^48+44251566465336*x^46+3459115543\
18608*x^44+2199711081561096*x^42+11453197081173752*x^40+49053141700388424*x^\
38+173365203122805360*x^36+506559998786091000*x^34+1224564033284754118*x^32+\
2448074856514907784*x^30+4040748078352612464*x^28+5490950272570217784*x^26+6\
116874870299815928*x^24+5553438803110654584*x^22+4077420978435412752*x^20+23\
96973800763840072*x^18+1113902309524088860*x^16+402563308589927784*x^14+1107\
73187798222256*x^12+22568214739102296*x^10+3276194045414216*x^8+320577739097\
112*x^6+19369277602512*x^4+615797660328*x^2+6975757441
Common denominator of the automorphisms:
2623388230455705774626576725049544945934320014776056104708332052050082775553\
07550945933359738242694835863552
Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Sat, 16 Jun 2018 12:23:16 +0200
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