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<h5>5.1-1 MaxDegreeNP</h5>

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<div class="example"><pre>

<span class="<5.1-2 ScalarMulNP
;  Rationals  generatorsgt;
<span class="GAPprompt">gap></span> <<pArithmeticwithpolynomials performed using the<strong=pkg></strong> functions <code class="code">AddNP</code>, <code class="code">MulNP</code> and <code class="code">BimulNP</code>. We find it convenient to add here a function which multiplies a polynomial by an element of the underlying field of the algebra.</p>
<spanclass=""gap></span> span ="APinput"ord: NCMonomialLeftLengthLexicographicOrdering  ;</span>
span=GAPpromptgap&;/> spanclass=GAPinputu: [ [ [112 21,[1 ],[,2-]];/>
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<span class="GAPprompt">gap></span> <span classGAPprompt"gapgt;/> < =GAPinput>x=[ 1 ] [5 ; PrintNP( x;
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</pre></div>

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</pre>

<p<aid"X79B2E02082C8799E" name""></a></p>

<h5>5.1-4 LowestLeadMonomialPosNP</h5>

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>   ofpolynomials,  function  at all the leadingmonomialsandreturnsthepositionof the smallest lead monomial with respect to the monomial ordering currently being used. In the example, since <code ="code>L4 issorted,the fourth polynomial least..


<div class="example"><pre>

<span class="GAPprompt">gap></span> <span class="GAPinput">LowestLeadMonomialPosNP( L4 );</span>
4

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