---------- Forwarded message ----------
From: "Stavros Garoufalidis" <stav...@math.gatech.edu>
Date: Jan 15, 2014 12:36 PM
Subject: factoring polynomials modulo primes in Mathematica/Sage?
To: <wst...@uw.edu>
Cc: "stavros" <stav...@math.gatech.edu>

Dear William,

I would like to ask you a Sage question: suppose we have a Mathematica
object in sage:

sage: mpoly
4096 - 8192*x + 63488*x^2 + 36864*x^3 + 216576*x^4 + 78080*x^5 + 215424*x^6
-
 9472*x^7 + 106672*x^8 - 29200*x^9 + 34736*x^10 - 13528*x^11 + 3447*x^12 -
 893*x^13 + 561*x^14 - 124*x^15 + 8*x^16 + x^17

I would like to factor it (using Mathematica) inside Sage, modulo 7.
I know the command:

sage: mpoly.Factor()

which factors over Q. Mathematica has an option Factor[mpoly,Modulus->7].
How can I access this option in Sage?

Thank you very much,

Stavros

 -----------------------------------------------------------------------
| Stavros Garoufalidis            | Phone:     (404) 894-6614           |
| School of Mathematics           | FAX:       (404) 894-4409           |
| Georgia Institute of Technology | e-mail:    stav...@math.gatech.edu  |
| Atlanta, GA  30332-0160, USA    | http://www.math.gatech.edu/~stavros |
 -----------------------------------------------------------------------

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