Hi!
I should add that the bug occurs for sage 4.0.
Is it still there in 4.0.1?
It seems that the problem is in maxima. Looking at the code, solve
does the following:
sage: E=(z^3-1)^3
sage: e = E==0
sage: m=e._maxima_()
sage: m.solve(z).str()
'[z=(sqrt(3)*%i-1)/2,z=-(sqrt(3)*%i+1)/2,z=1]'
sage: P.get('multiplicities')
'[1,1,3]'
So, there is where the wrong answer comes from. Note that the
multiplicities are fine when solving (z^4-1)^3.
Cheers,
Simon
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