...and for the sum I see

-1.11097e-5 -1.11106e-5 -1.11097e-5 -1.11097e-5 -1.11097e-5

Which clearly shows that we aren't perfect, but on the other hand, we do not get
zero as you seem to.

Note, that sorting is not the greatest thing to do.  For example if you have,
just three numbers

    small, +huge, and -huge

then you will actually want to add +/-huge and get zero before you look at
the small number.

Morten
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