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| <command>
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| <title>BBSGens.Wmat</title>
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| <short_description>This function computes the weight matrix with respect to the arrow grading. </short_description>
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| <syntax>BBSGens.WMat(OO:LIST,BO:LIST,N:INTEGER):MATRIX</syntax>
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| <description>
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| This command computes the degree of the indeterminates from <tt>K[c_{ij}]</tt> with respect to the arrow grading. The coloumns of <ref>BBSGens.Wmat</ref><tt>(OO,BO,N)</tt> give the degrees of <tt>{c_{11},..c_{1Nu},...,c_{MuNu}}</tt> with respect to the arrow grading, where Mu is the number of elements in <tt>OO</tt> and <tt>Nu</tt> is the number of elements from <tt>BO</tt>.
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| <itemize>
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| <item>@param <em>OO</em> A list of terms representing an order ideal.</item>
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| <item>@param <em>BO</em> A list of terms representing the border.</item>
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| <item>@param <em>N</em> The number of elements of the polynomial ring <tt>K[x_1,...x_n]</tt>.</item>
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| <item>@return Returns the weight matrix with respect to the arrow grading.</item>
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| </itemize>
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| <example>
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| Use R::=QQ[x[1..2]];
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| OO:=BB.Box([1,1]);
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| BO:=BB.Border(OO);
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| N:=Len(Indets());
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| ----------------------
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| W:=BBSGen.Wmat(OO,BO,N);
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| W;
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| Mat([
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| [0, 2, 1, 2, 0, 2, 1, 2, -1, 1, 0, 1, -1, 1, 0, 1],
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| [2, 0, 2, 1, 1, -1, 1, 0, 2, 0, 2, 1, 1, -1, 1, 0]])
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| </example>
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| </description>
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| <type>bbsmingensys</type>
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| <key>Wmat</key>
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| <key>BBSGen.Wmat</key>
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| <key>bbsmingensys.Wmat</key>
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| <wiki-category>Package_bbsmingensys</wiki-category>
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| </command>
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