Group GAP4(64,81)

Name: (C2 x C2 x C2) . (C2 x C2 x C2)
Maximal quotients:GAP4(32,29) GAP4(32,30) GAP4(32,31) GAP4(32,32) GAP4(32,33)
Real polynomial:
x^64-512*x^62+117120*x^60-15979520*x^58+1464873536*x^56-96319143936*x^54+473\
2514428928*x^52-178641874808832*x^50+5283859654123264*x^48-12424935685832704\
0*x^46+2348305409246535680*x^44-35971569195620237312*x^42+449466623045651427\
328*x^40-4603556599184673996800*x^38+38789250210380905709568*x^36-2695309519\
57415881605120*x^34+1546522248347226055008256*x^32-7328786563246358129541120\
*x^30+28654558793675711581782016*x^28-92220705474513032682930176*x^26+243376\
984172465948318236672*x^24-523770106750386525360357376*x^22+9122382316858672\
84883046400*x^20-1272839854822640056119853056*x^18+1403893685189028428836241\
408*x^16-1202775905320948362987438080*x^14+782243402953406202238730240*x^12-\
374640984989719149840171008*x^10+126870979963872283247771648*x^8-28733106113\
787855527477248*x^6+4013108262795309505052672*x^4-302741287237519748890624*x\
^2+9264295768348401074176
Common denominator of the automorphisms:
1328726711171523506307838179046570718256196293625088633443186176364674190555\
8144549144744848501162312141196167648339809566230350944874356187095616402227\
200
Complex polynomial:
x^64+512*x^62+117120*x^60+15979520*x^58+1464873536*x^56+96319143936*x^54+473\
2514428928*x^52+178641874808832*x^50+5283859654123264*x^48+12424935685832704\
0*x^46+2348305409246535680*x^44+35971569195620237312*x^42+449466623045651427\
328*x^40+4603556599184673996800*x^38+38789250210380905709568*x^36+2695309519\
57415881605120*x^34+1546522248347226055008256*x^32+7328786563246358129541120\
*x^30+28654558793675711581782016*x^28+92220705474513032682930176*x^26+243376\
984172465948318236672*x^24+523770106750386525360357376*x^22+9122382316858672\
84883046400*x^20+1272839854822640056119853056*x^18+1403893685189028428836241\
408*x^16+1202775905320948362987438080*x^14+782243402953406202238730240*x^12+\
374640984989719149840171008*x^10+126870979963872283247771648*x^8+28733106113\
787855527477248*x^6+4013108262795309505052672*x^4+302741287237519748890624*x\
^2+9264295768348401074176
Common denominator of the automorphisms:
1328726711171523506307838179046570718256196293625088633443186176364674190555\
8144549144744848501162312141196167648339809566230350944874356187095616402227\
200

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Tue, 27 May 2014 19:57:28 +0200
Copyleft © 2002-2008 the PARI group.