Usage: include the file to load the stuff and run some examples. Currently,
julia> include("NCMPoly.jl")
**** starting buchberge on ****
2-element Vector{NCMPoly{AbstractAlgebra.GFElem{Int64}}}:
u*x*y*x*y*x*y + u*x*y*x*y + u + v
y*x*y*x*y*x*t + y*x*y*x*t + t + s
obstruction (1, 2): 1, x*t; u*x, 1
g[i] = u*x*y*x*y*x*y + u*x*y*x*y + u + v
g[j] = y*x*y*x*y*x*t + y*x*y*x*t + t + s
S = u*x*s + v*x*t
Sp = u*x*s + v*x*t
obstruction (1, 2): 1, x*y*x*t; u*x*y*x, 1
g[i] = u*x*y*x*y*x*y + u*x*y*x*y + u + v
g[j] = y*x*y*x*y*x*t + y*x*y*x*t + t + s
S = u*x*y*x*s + v*x*y*x*t
Sp = u*x*y*x*s + v*x*y*x*t
obstruction (1, 2): 1, x*y*x*y*x*t; u*x*y*x*y*x, 1
g[i] = u*x*y*x*y*x*y + u*x*y*x*y + u + v
g[j] = y*x*y*x*y*x*t + y*x*y*x*t + t + s
S = u*x*y*x*y*x*s + v*x*y*x*y*x*t
Sp = u*x*y*x*y*x*s + v*x*y*x*y*x*t
done!
5-element Vector{NCMPoly{AbstractAlgebra.GFElem{Int64}}}:
u*x*y*x*y*x*y + u*x*y*x*y + u + v
y*x*y*x*y*x*t + y*x*y*x*t + t + s
u*x*s + v*x*t
u*x*y*x*s + v*x*y*x*t
u*x*y*x*y*x*s + v*x*y*x*y*x*t
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