This program is Linux executable. In order to use, you need to allow executing file as a program (right-click -> properties -> permissions -> enable 
"allow executing file as a program".

This program can compute characteristic numbers of rational curves of any degree in any dimensional projective spaces. It can also 
compute characteristic numbers of rational curves with one node/cusp , with or without conditions on the node/cusp, and
also characteristic numbers of elliptic curves with fixed j-invariant, and of elliptic curves with generic j-invariant 
in projective spaces of dimension up to 5.

Command :

	<type of curve> <dim> <degree> <constraint> <possible constraint on the node/cusp - a non-positive number>

	type of curves : rational, nodal, cuspidal, fixJ, elliptic.


Examples:

elliptic 3 3 0 12 0: 
	Gives 1500, number of elliptic cubics in P^3 that are tangent to 0 planes, pass through 12 lines and 0 points.
nodal 3 3 1 7 1 -1: 
	Gives 1584, number of nodal plane cubics in P^3 that are tangent to 1 planes, pass through 7 lines and 1 point, and the node lies on a hyperplane (the last -1).
cuspidal 3 3 10 0 0 0:
	Gives 960, number of cuspidal plane cubics in P^3 that are tangent to 10 planes, with no condition on the node (the last 0)
fixJ 4 4 3 3 2 3:        
	Gives 658368, number of elliptic curves in P^4 of degree 4 with fixed j-invariant that are tangent to 3 planes, and pass through 3 planes, 2 lines and 3 points.