OK, one more time I feel stupid and one more time thanks to answer. But now 
look at this

R = PolynomialRing(RR, 'c', 20)
c = R.gens()
c=vector([c[i] for i in (0..2)])
Z1=matrix([[1, 2],[3,4]])*vector([c[1],c[2]])
show(Z1)<--- correct display
But c and c[1] is not recognized. So I do not know how to call the c's.
solve(Z1[0]==0,c)

solve(Z1[0]==0,c[1])


On Sunday, June 6, 2021 at 12:14:15 PM UTC+2 slelievre wrote:

> 2021-06-06 10:47:24 UTC+2, Cyrille Piatecki:
> >
> > [c[i] for i in range(0..2)] <-- this doesn't work
>
> You are mixing two different options:
>
> - range:
>   [c[i] for i in range(2)]
>   [c[i] for i in range(0, 2)]
>
> - ellipsis:
>   [c[i] for i in (0 .. 2)]
>
>

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