Hi, I need to create a random multivariate polynomial. I do it as follows:
F = GF(10007)['x,y'].random_element(4,9) Now, sage creates a polynomial in x and y of degree 2 in every variable, since 4 = 2+2. Furthermore 9 restricts the polynomial to 9 coefficients. I could not find any documentation for "random_element(..,..)" but thats my guess after tinkering around with the values. So far everything is perfect. The problem is now, that most of the time the created polynomial has only 6 or 7 coefficients. Since the probability to choose 0 in the field GF(bigPrime) is quite low, I would expect the polynomial to have 9 coefficients in most cases. If I increase this second parameter of the random_element function, the average number of coefficients increases up to the maximum possible number of coefficients, which is 9. Unfortunately, the computation time for creating the polynomial increases nearly linearly with the second parameter of the "random_element" function. So I am wondering if my understanding of the parameters of "random_elment" is wrong or if this function really produces such results, which I do not regard as random behaviour. Cheers, Steffen --~--~---------~--~----~------------~-------~--~----~ To post to this group, send email to sage-devel@googlegroups.com To unsubscribe from this group, send email to [EMAIL PROTECTED] For more options, visit this group at http://groups.google.com/group/sage-devel URLs: http://sage.scipy.org/sage/ and http://modular.math.washington.edu/sage/ -~----------~----~----~----~------~----~------~--~---
