Hi!

Working on #10771 (making gcd and lcm work nicer), I got trouble with
the multiplication of symbolic expressions. The problem seems to boil
down to examples of the following type:

Without the patch
sage: x = -sqrt(2)-1/5*I
sage: x*x
1/25*(5*sqrt(2) + I)^2

With the patch
sage: x = -sqrt(2)-1/5*I
sage: x*x
1/25*(-5*sqrt(2) - I)^2

In another multiplication example, the patch even results in a
segmentation fault:
sage: F(x) = 1/sqrt(2*pi*1^2)*exp(-1/(2*1^2)*(x-0)^2)
sage: G(x) = 1/sqrt(2*pi*n(1)^2)*exp(-1/(2*n(1)^2)*(x-n(0))^2)
sage: (F-G)**2
/mnt/local/king/SAGE/sage-4.6.2.alpha4/local/bin/sage-sage: Zeile 300:
19386 Speicherzugriffsfehler  sage-ipython "$@" -i

The first example seems to indicate that my gcd/lcm patch changes a
sign when pulling a common factor out of a list of symbolic
coefficients. The second example is totally obscure to me.

I could trac down the code up to a call to new_Expression_from_GEx.
But I have not been able to locate the definition of that function.

To symbolists:
Please tell me whether (and how) gcd or lcm occur in
new_Expression_from_GEx, or at least show me the code!

What gcd/lcm would be computed in the two examples above, and what is
the expected result?

Best regards,
Simon

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