[sage-support] Re: newbie -- defining a multivariate polynomial

2010-03-08 Thread lesshaste
Sorry I should have said a system of multivariate polynomials. Raphael On Mar 8, 3:59 pm, lesshaste wrote: > I am having problems simply defining a multivariate polynomial. I have > a slightly modified excerpt from a very helpful python script I was > given that looks like > > #!

[sage-support] newbie -- defining a multivariate polynomial

2010-03-08 Thread lesshaste
I am having problems simply defining a multivariate polynomial. I have a slightly modified excerpt from a very helpful python script I was given that looks like #!/opt/sage-4.3.3-linux-32bit-ubuntu_9.10-i686-Linux/sage -python import sys from sage.all import * from polybori.blocks import declare

[sage-support] Re: Solving multivariate polynomial systems over GF(2)

2009-08-03 Thread lesshaste
Hi, On Aug 3, 7:39 pm, Martin Albrecht wrote: > > The problem in my case is really one of scale. I have put a larger > > example at the bottom of this message.  When I try to find the > > groebner basis in sage 4.1 (which seems to use polybori-0.5rc.p8) the > > memory usage goes over 1.6GB and t

[sage-support] Re: Solving multivariate polynomial systems over GF(2)

2009-08-02 Thread lesshaste
On Aug 2, 2:59 am, john_perry_usm wrote: > Raphael, > > > Also, I read back in April that there was a plan to implement > > Faugere's F4 algorithm. As the systems I want to solve are very large, > > I would be particularly interested in that or any related tools that > > are in development. (An

[sage-support] Re: Solving multivariate polynomial systems over GF(2)

2009-08-01 Thread lesshaste
Thanks very much for the reply. > Finally, for solving you should use a lexicographical term ordering: > > sage: R. = > BooleanPolynomialRing(order='lex') > sage: I=(a111 * b111 * c111 + a112 * b112 * c112 - 1 , a111 * b211 * c111 + > : a112 * b212 * c112 - 0 , a121 * b111 * c111 + a122 * b11

[sage-support] Solving multivariate polynomial systems over GF(2)

2009-07-27 Thread lesshaste
I am new to sage and am attempting to solve systems of multivariate polys over GF(2). My first attempt with a small example is R.=GF(2)[] I=(a111 * b111 * c111 + a112 * b112 * c112 - 1 , a111 * b211 * c111 + a112 * b212 * c112 - 0 , a121 * b111 * c111 + a122 * b112 * c112 , a121 * b211 * c111 +