The files here are used to compute the 18 space conics that contain 
a fixed point (which we will take to be the origin) and meet six 
general lines.  The equation is precomputed by maple and stored in 
a Singular library.  We have a perl script (conic.pl) which runs
the computation.  We'll use different directories for each run of
the computation, sc.01, sc.02, ....  The output is stored in 
sc.xx/output.  We'll later write a perl file to pull the different 
outputs together.


Formulation:

A space conic passing through the origin is determined by a plane,
which we take to be orthogonal to the vector
  V = <u,v,1>
and the projection of the conic to the (x,y)-plane, which has
equation
  x^2 + a*x*y + b*y^2 + c*x + d*y = 0
(no constant term, as it passes throught the origin.)

Files:
README        This file
conic.pl      The perl script
summary.pl    A perl script that reads the output and summarizes it (originally
               used when there were 20 subdirectories, each computing and keeping
               separate running totals, so it may not be so useful in general).
LIBS/
 conics.lib            Singular procedure for the equation of conic as above to meet a line
 conics.maple          The MAPLE file that computed this equation
 MathRandomMTPerl.pm   Perl library for random numbers

output/      Directory to store the output
tempfiles/   Temporary file to store the files created during the computations
