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solve - integer solution

• To: mathgroup at smc.vnet.net
• Subject: [mg34145] solve - integer solution
• From: "Chris Krook" <c.krook at student.tue.nl>
• Date: Mon, 6 May 2002 05:20:15 -0400 (EDT)
• Organization: Eindhoven University of Technology, The Netherlands
• Sender: owner-wri-mathgroup at wolfram.com

Hello,
I need to find an instance from the integers that satisfies the following
equation:

{12 c[1, 0] + 12 c[2, 0] + 25 c[3, 0] - 50 c[3, 1] + 25 c[4, 0] - 50 c[4,
1],
  12 c[1, 1] + 12 c[2, 1] + 10 c[3, 0] + 15 c[3, 1] + 10 c[4, 0] + 15 c[4,
1],
   c[1, 0] + 2 c[2, 0], c[1, 1] + 2 c[2, 1], c[3, 0] - 5 c[4, 1],
  c[3, 1] + c[4, 0] - c[4, 1]}=={0,0,0,0,0,0}

Using Solve doesn't give (explicit) integer solutions; Furthermore, since I
only need an arbitrary integer-instance is there an easier way to obtain
one? (if not, how can I adjust solve?)
(this is small example; my actual problem involves much larger lists)

Thanks in advance,
Chris

• Follow-Ups:
  • Re: solve - integer solution
    • From: Daniel Lichtblau <danl@wolfram.com>