Group GAP4(64,3)

Name: C8 : C8
Maximal quotients:GAP4(32,3) GAP4(32,4)
Real polynomial:
x^64-144*x^62+9632*x^60-398000*x^58+11397384*x^56-240548656*x^54+3884991584*\
x^52-49212024272*x^50+497218039548*x^48-4053838170064*x^46+26883516260640*x^\
44-145769937997808*x^42+648234143919736*x^40-2367106404158704*x^38+709561762\
8496096*x^36-17430242760066704*x^34+34981422844365030*x^32-57109909567479216\
*x^30+75418480142557920*x^28-80001245310887184*x^26+67590995712590520*x^24-4\
5024971182546320*x^22+23363233021051680*x^20-9306475950585968*x^18+279517203\
6966460*x^16-618766516366832*x^14+97983525424736*x^12-10648178150480*x^10+74\
6218069576*x^8-30383681104*x^6+587583392*x^4-3469104*x^2+6241
Common denominator of the automorphisms:
114243509637691099384639065621044658516093080264871507590600196096
Complex polynomial:
x^64+144*x^62+9632*x^60+398000*x^58+11397384*x^56+240548656*x^54+3884991584*\
x^52+49212024272*x^50+497218039548*x^48+4053838170064*x^46+26883516260640*x^\
44+145769937997808*x^42+648234143919736*x^40+2367106404158704*x^38+709561762\
8496096*x^36+17430242760066704*x^34+34981422844365030*x^32+57109909567479216\
*x^30+75418480142557920*x^28+80001245310887184*x^26+67590995712590520*x^24+4\
5024971182546320*x^22+23363233021051680*x^20+9306475950585968*x^18+279517203\
6966460*x^16+618766516366832*x^14+97983525424736*x^12+10648178150480*x^10+74\
6218069576*x^8+30383681104*x^6+587583392*x^4+3469104*x^2+6241
Common denominator of the automorphisms:
114243509637691099384639065621044658516093080264871507590600196096

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