# Matthias Steiner's profile - activity

 2024-02-12 18:15:41 +0200 marked best answer Implement Weight Orders I am having trouble implementing weight orders in SageMath. Suppose we are given the polynomial ring $K[x, y, z]$, and weight vectors $w_1 = (1, 2, 3), w_2 = (4, 5, 6)$. For exponent vectors $a, b$, I would like to implement a term order that decides $a > b$ according to: $w_1 a > w_1 b$ $w_1 a = w_1 b$ and $w_2 a > w_2 b$ $w_1 a = w_1 b$ and $w_2 a = w_2 b$ and $a >_{LEX} b$, i.e. in case of two ties $>$ defaults to the standard lexicographic term order. How can I implement such a term order in SageMath? 2024-02-12 18:15:41 +0200 received badge ● Scholar (source) 2024-02-12 18:15:40 +0200 received badge ● Supporter (source) 2024-02-05 19:04:12 +0200 asked a question Implement Weight Orders Implement Weight Orders I am having trouble implementing weight orders in SageMath. Suppose we are given the polynomial 2022-05-05 14:22:09 +0200 received badge ● Good Question (source) 2022-05-05 12:59:16 +0200 commented question Order of coefficients of univariate polynomial: Bug or Feature? If the inconsistency is not changed, then it should at least be mentioned in the documentation. It took me quite a while 2022-05-05 11:54:18 +0200 received badge ● Nice Question (source) 2022-05-05 11:53:45 +0200 received badge ● Student (source) 2022-05-05 11:53:35 +0200 asked a question Order of coefficients of univariate polynomial: Bug or Feature? Order of coefficients of univariate polynomial: Bug or Feature? I obsevered the following behaviour in SageMath 9.3 and