On a plane, **27181** parallel lines are drawn.
Then another **31415** parallel lines are drawn, *not one of which is parallel* to the *previously drawn* set of 27181 lines.

Then, to make it even worse, *some* more number of lines are drawn(all parallel to each other) through the *points of intersection* of the *previously drawn 58596* lines.

If the number of **parallelopipeds** formed is **N**,

What is \(N\) \(mod\) \(1000\) ?

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