<?xml version="1.0" encoding="UTF-8"?>
<Worksheet>
<Version major="2020" minor="2"/>
<Label-Scheme value="2" prefix=""/>
<View-Properties presentation="false" autoexpanding_sections="true" UserProfileName="Maple Default Profile" NumericFormat-ApplyInteger="true" NumericFormat-ApplyRational="true" NumericFormat-ApplyExponent="false" editable="true">
</View-Properties>
<MapleNet-Properties prettyprint="3" warnlevel="3" compactdisplay="false" preplot="" helpbrowser="standard" displayprecision="-1" echo="1" unitattributes="&quot;fontweight&quot; = &quot;bold&quot;" imaginaryunit="I" longdelim="true" elisiontermsthreshold="10000" elisiondigitsafter="100" elisiondigitsbefore="100" plotdevice="inline" errorbreak="1" plotoptions="" plotdriver="opengl" quiet="false" elisiontermsbefore="100" elisiontermsafter="100" historytimestamp="false" screenwidth="79" indentamount="4" plotoutput="terminal" screenpixelheight="1440" rtablesize="[10, 10]" useclientjvm="true" labelwidth="20" postplot="" typesetting="extended" ansi="false" ansicolor="[]" elisiondigitsthreshold="10000" showassumed="1" ansilprint="false" trailingsemicolon="true" errorcursor="false" labelling="true" screenheight="25" prompt="&gt; " verboseproc="1" latexwidth="8.0" ShowLabels="true"/>
<Styles>
<Font name="Heading 1" background="[255,255,255]" bold="true" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="18" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Warning" background="[255,255,255]" bold="false" executable="false" family="Courier New" foreground="[0,0,255]" italic="false" opaque="false" readonly="true" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="2D Output" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,255]" italic="false" opaque="false" readonly="true" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Heading 4" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="true" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Line Printed Output" background="[255,255,255]" bold="false" executable="false" family="Courier New" foreground="[0,0,255]" italic="false" opaque="false" readonly="true" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Heading 2" background="[255,255,255]" bold="true" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="16" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Maple Output" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="2D Inert Output" background="[255,255,255]" bold="false" executable="true" family="Times New Roman" foreground="[144,144,144]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Heading 3" background="[255,255,255]" bold="true" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="true" opaque="false" readonly="false" size="14" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Diagnostic" background="[255,255,255]" bold="false" executable="false" family="Courier New" foreground="[40,120,40]" italic="false" opaque="false" readonly="true" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Ordered List 1" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Maple Input" background="[255,255,255]" bold="true" executable="true" family="Courier New" foreground="[120,0,14]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Text Output" background="[255,255,255]" bold="false" executable="false" family="Courier New" foreground="[0,0,255]" italic="false" opaque="false" readonly="true" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Ordered List 2" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Ordered List 3" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Ordered List 4" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Ordered List 5" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Annotation Title" background="[255,255,255]" bold="true" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="18" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Header and Footer" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="10" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="HyperlinkError" background="[255,255,255]" bold="false" executable="false" family="Courier New" foreground="[255,0,255]" italic="false" opaque="false" readonly="true" size="12" subscript="false" superscript="false" underline="true" placeholder="false"/>
<Font name="Atomic Variable" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[175,0,175]" italic="true" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="HyperlinkWarning" background="[255,255,255]" bold="false" executable="false" family="Courier New" foreground="[0,0,255]" italic="false" opaque="false" readonly="true" size="12" subscript="false" superscript="false" underline="true" placeholder="false"/>
<Font name="Dictionary Hyperlink" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[147,0,15]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="true" placeholder="false"/>
<Font name="2D Math" background="[255,255,255]" bold="false" executable="true" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Bullet Item" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Maple Plot" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Annotation Text" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="List Item" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Dash Item" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="2D Input" background="[255,255,255]" bold="false" executable="true" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Error" background="[255,255,255]" bold="false" executable="false" family="Courier New" foreground="[255,0,255]" italic="false" opaque="false" readonly="true" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Title" background="[255,255,255]" bold="true" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="18" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Text" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Normal" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Caption Reference" background="[255,255,255]" bold="true" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Code" background="[255,255,255]" bold="false" executable="false" family="Courier New" foreground="[255,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Maple Input Placeholder" background="[255,255,255]" bold="true" executable="true" family="Courier New" foreground="[200,0,200]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="true"/>
<Font name="Equation Label" background="[255,255,255]" bold="true" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Author" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Hyperlink" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,128,128]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="true" placeholder="false"/>
<Font name="Caption Text" background="[255,255,255]" bold="true" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Layout name="Heading 1" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="8" spacebelow="4" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Warning" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Heading 4" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Line Printed Output" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="any" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Heading 2" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="8" spacebelow="2" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Maple Output" alignment="centred" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.3" spaceabove="0" spacebelow="0" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Heading 3" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Diagnostic" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="any" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Ordered List 1" alignment="left" bullet="numeric" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="3" spacebelow="3" linebreak="space" pagebreak-before="false" initial="-1" bulletsuffix="."/>
<Layout name="Text Output" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="newline" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Ordered List 2" alignment="left" bullet="alphabetic" firstindent="0" leftmargin="36" rightmargin="0" linespacing="0.0" spaceabove="3" spacebelow="3" linebreak="space" pagebreak-before="false" initial="-1" bulletsuffix="."/>
<Layout name="Ordered List 3" alignment="left" bullet="roman" firstindent="0" leftmargin="72" rightmargin="0" linespacing="0.0" spaceabove="3" spacebelow="3" linebreak="space" pagebreak-before="false" initial="-1" bulletsuffix="."/>
<Layout name="Ordered List 4" alignment="left" bullet="ALPHABETIC" firstindent="0" leftmargin="108" rightmargin="0" linespacing="0.0" spaceabove="3" spacebelow="3" linebreak="space" pagebreak-before="false" initial="-1" bulletsuffix="."/>
<Layout name="Ordered List 5" alignment="left" bullet="ROMAN" firstindent="0" leftmargin="144" rightmargin="0" linespacing="0.0" spaceabove="3" spacebelow="3" linebreak="space" pagebreak-before="false" initial="-1" bulletsuffix="."/>
<Layout name="Annotation Title" alignment="centred" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="12" spacebelow="12" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="HyperlinkError" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="HyperlinkWarning" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Bullet Item" alignment="left" bullet="dot" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="3" spacebelow="3" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Maple Plot" alignment="centred" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="List Item" alignment="left" bullet="indent" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="3" spacebelow="3" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Dash Item" alignment="left" bullet="dash" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="3" spacebelow="3" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Error" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Title" alignment="centred" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="12" spacebelow="12" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Normal" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Author" alignment="centred" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="8" spacebelow="8" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Pencil-style name="Pencil 1" pen-color="[0,0,0]" pen-height="1.0" pen-width="1.0" pen-opacity="1.0"/>
<Pencil-style name="Pencil 2" pen-color="[0,0,255]" pen-height="1.0" pen-width="1.0" pen-opacity="1.0"/>
<Pencil-style name="Pencil 3" pen-color="[0,0,0]" pen-height="3.0" pen-width="3.0" pen-opacity="1.0"/>
<Pencil-style name="Pencil 4" pen-color="[0,0,255]" pen-height="3.0" pen-width="3.0" pen-opacity="1.0"/>
<Pencil-style name="Pencil 5" pen-color="[255,0,0]" pen-height="5.0" pen-width="5.0" pen-opacity="1.0"/>
<Highlighter-style name="Highlighter 5" pen-color="[255,255,0]" pen-height="48.0" pen-width="48.0" pen-opacity="0.8"/>
<Highlighter-style name="Highlighter 3" pen-color="[51,255,0]" pen-height="24.0" pen-width="24.0" pen-opacity="0.8"/>
<Highlighter-style name="Highlighter 4" pen-color="[0,255,255]" pen-height="32.0" pen-width="32.0" pen-opacity="0.8"/>
<Highlighter-style name="Highlighter 1" pen-color="[255,153,255]" pen-height="12.0" pen-width="8.0" pen-opacity="0.8"/>
<Highlighter-style name="Highlighter 2" pen-color="[255,204,0]" pen-height="14.0" pen-width="14.0" pen-opacity="0.8"/>
</Styles>
<Startup-Code startupcode=""/>
<Task-table>
    <Task-category name="&lt;default&gt;"/>
</Task-table>
<Task/>
<Group hide-input="false" labelreference="L1" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal">with(LinearAlgebra):
with (VectorCalculus):
Jacobi := (f,x) -&gt; Jacobian(f,convert(x,list)):</Text-field>
</Input>
</Group>
<Group hide-input="false" labelreference="L5" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal">uG = uM;
Mext = dM;
wP = y;</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEjdUdGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSSNtb0dGJDYtUSkmZXF1YWxzO0YnL0YzUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGPS8lKXN0cmV0Y2h5R0Y9LyUqc3ltbWV0cmljR0Y9LyUobGFyZ2VvcEdGPS8lLm1vdmFibGVsaW1pdHNHRj0vJSdhY2NlbnRHRj0vJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZMLUYsNiVRI3VNRidGL0YyRjk=">L0kjdUdHNiJJI3VNR0Yk</Equation></Text-field>
</Output>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVElTWV4dEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RKSZlcXVhbHM7RicvRjNRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y9LyUpc3RyZXRjaHlHRj0vJSpzeW1tZXRyaWNHRj0vJShsYXJnZW9wR0Y9LyUubW92YWJsZWxpbWl0c0dGPS8lJ2FjY2VudEdGPS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRkwtRiw2JVEjZE1GJ0YvRjJGOQ==">L0klTWV4dEc2IkkjZE1HRiQ=</Equation></Text-field>
</Output>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEjd1BGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSSNtb0dGJDYtUSkmZXF1YWxzO0YnL0YzUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGPS8lKXN0cmV0Y2h5R0Y9LyUqc3ltbWV0cmljR0Y9LyUobGFyZ2VvcEdGPS8lLm1vdmFibGVsaW1pdHNHRj0vJSdhY2NlbnRHRj0vJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZMLUYsNiVRInlGJ0YvRjJGOQ==">L0kjd1BHNiJJInlHRiQ=</Equation></Text-field>
</Output>
</Group>
<Group hide-input="false" labelreference="L2" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal">iG_p := 1/LG * (uG-RG*iG-kG*wG);
pGP_p := wG-wP;
wG_p := 1/JG*(kG*iG-(dcG+dvG*wG)-((wG-wP)*dGP+pGP*cGP));
wP_p := 1/JP*(((wG-wP)*dGP+pGP*cGP)-(dcP+dvP*wP+dqP*wP^2+Mext));</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSVpR19wR0YoKiZJI0xHR0YoISIiLCgqJkkjUkdHRigiIiJJI2lHR0YoRjRGMComSSNrR0dGKEY0SSN3R0dGKEY0RjBJI3VHR0YoRjRGNDcjRi4=</Equation></Text-field>
</Output>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSZwR1BfcEdGKCwmSSN3R0dGKCIiIkkjd1BHRighIiI3I0Yu</Equation></Text-field>
</Output>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSV3R19wR0YoKiZJI0pHR0YoISIiLCwqJkkja0dHRigiIiJJI2lHR0YoRjRGNComSSRkdkdHRihGNEkjd0dHRihGNEYwSSRkY0dHRihGMComLCZGOEY0SSN3UEdGKEYwRjRJJGRHUEdGKEY0RjAqJkkkcEdQR0YoRjRJJGNHUEdGKEY0RjBGNDcjRi4=</Equation></Text-field>
</Output>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSV3UF9wR0YoKiZJI0pQR0YoISIiLC4qJiwmSSN3R0dGKCIiIkkjd1BHRihGMEY1SSRkR1BHRihGNUY1KiZJJHBHUEdGKEY1SSRjR1BHRihGNUY1KiZJJGRxUEdGKEY1RjYiIiNGMComSSRkdlBHRihGNUY2RjVGMEklTWV4dEdGKEYwSSRkY1BHRihGMEY1NyNGLg==</Equation></Text-field>
</Output>
</Group>
<Group hide-input="false" labelreference="L3" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal">fM := &lt;iG_p,pGP_p,wG_p,wP_p&gt;;
hM := &lt;wP&gt;</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="[encoded data, 4148 characters]">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</Equation></Text-field>
</Output>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSNoTUdGKC1JJ1JUQUJMRUdGKDYlIjV3NXhKSCg0XCQqbyQtSSdNQVRSSVhHRig2JDcjNyMtSSNtaUc2JEYmL0krbW9kdWxlbmFtZUdGKEYkNiNRI3dQRig3I1EieEYoJkknVmVjdG9yR0YlNiNJJ2NvbHVtbkdGKDcjLUZANiMvSSQlaWRHRihGMQ==</Equation></Text-field>
</Output>
</Group>
<Group hide-input="false" labelreference="L12" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal">xM := &lt;iG, pGP, wG, wP&gt;;
uM := &lt;uG, Mext&gt;</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSN4TUdGKC1JJ1JUQUJMRUdGKDYlIjVPaTo5SCg0XCQqbyQtSSdNQVRSSVhHRig2JDcmNyMtSSNtaUc2JEYmL0krbW9kdWxlbmFtZUdGKEYkNiNRI2lHRig3Iy1GODYjUSRwR1BGKDcjLUY4NiNRI3dHRig3Iy1GODYjUSN3UEYoNyZRI3gxRihRI3gyRihRI3gzRihRI3g0RigmSSdWZWN0b3JHRiU2I0knY29sdW1uR0YoNyMtRk82Iy9JJCVpZEdGKEYx</Equation></Text-field>
</Output>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSN1TUdGKC1JJ1JUQUJMRUdGKDYlIjV3dzo5SCg0XCQqbyQtSSdNQVRSSVhHRig2JDckNyMtSSNtaUc2JEYmL0krbW9kdWxlbmFtZUdGKEYkNiNRI3VHRig3Iy1GODYjUSVNZXh0Rig3JFEieEYoUSJ5RigmSSdWZWN0b3JHRiU2I0knY29sdW1uR0YoNyMtRkU2Iy9JJCVpZEdGKEYx</Equation></Text-field>
</Output>
</Group>
<Group hide-input="false" labelreference="L4" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal">A :=simplify(eval(solve({fM[1]=0, fM[2] = 0, fM[3]=0, fM[4] = 0}, {iG, pGP, wG, wP})))</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">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</Equation></Text-field>
</Output>
</Group>
<Group hide-input="false" labelreference="L6" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal">A_v := convert(A,Vector)</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="[encoded data, 4572 characters]">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</Equation></Text-field>
</Output>
</Group>
<Group hide-input="false" labelreference="L7" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal">simplify(&lt;allvalues(A_v[1])[1], allvalues(A_v[2])[1], allvalues(A_v[3])[1], allvalues(A_v[4])[1]&gt;)</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="[encoded data, 6116 characters]">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</Equation></Text-field>
</Output>
</Group>
<Group hide-input="false" labelreference="L8" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal">simplify(&lt;allvalues(A_v[1])[2], allvalues(A_v[2])[2], allvalues(A_v[3])[2], allvalues(A_v[4])[2]&gt;)</Text-field>
</Input>
<Input><Text-field prompt="&gt; " style="Maple Input" spaceabove="0" linebreak="space" rightmargin="0" linespacing="0.0" initial="0" firstindent="0" leftmargin="0" bulletsuffix="" alignment="left" bullet="none" spacebelow="0" pagebreak-before="false"></Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="[encoded data, 6108 characters]">LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyNYLCUhR0YoRihbZ2whIiUhISEjJSIlIiItSSVtcm93RzYkRiYvSSttb2R1bGVuYW1lR0YoRiQ2JS1JI21pR0YwNiNRI2lHRigtSSNtb0dGMDYjUSkmZXF1YWxzO0YoLUkmbWZyYWNHRjA2JC1GLzYnLUYvNiUtRjU2I1Eja0dGKC1GOTYjUTEmSW52aXNpYmxlVGltZXM7RigtSSZtc3FydEdGMDYjLUYvNictRi82JS1JKG1mZW5jZWRHRjA2Iy1GLzYlLUYvNiUtRlE2Iy1GLzYoLUY5NiNRKiZ1bWludXMwO0YoLUYvNiUtSSNtbkdGMDYjUSI0RihGRi1GNTYjUSRkY0dGKC1GOTYjUSgmbWludXM7RigtRi82JUZqbkZGLUY1NiNRJGRjUEYoRmFvLUYvNiVGam5GRi1GNTYjUSVNZXh0RihGRi1GNTYjUSRkcVBGKC1GOTYjUScmcGx1cztGKC1JJW1zdXBHRjA2JC1GUTYjLUYvNiUtRjU2I1EkZHZHRihGYXAtRjU2I1EkZHZQRigtRltvNiNRIjJGKEZGLUZlcDYkLUY1NiNRI1JHRihGYXFGYXAtRi82KUZhcUZGRkNGRi1GUTYjLUYvNiUtRi82J0ZhcUZGLUY1NiNRI3VHRihGRkZecEZhcC1GLzYlRkNGRkZncEZGRmZxRmFwLUZlcDYkRkNGam5GYXAtRi82JUZbckZGRmZxRmFwLUZlcDYkRkMtRltvNiNRIjNGKC1GLzYnRmFxRkZGZHFGRkZecC1GLzYlLUY1NiNRJHBHUEYoRjgtRj02JC1GLzYpLUYvNiUtRlE2Iy1GLzYlLUYvNiVGZnFGRkZbcUZhcC1GZXA2JEZDRmFxRkZGSUZhcC1GLzYlLUZRNiMtRi82KEZlbi1GLzYnRmFxRkZGXm9GRkZecEZhcC1GZXA2JEZbcUZhcUZhcC1GLzYlRltxRkZGXnFGRkZkcUZhcC1GLzYlLUZRNiMtRi82JS1GLzYlLUZRNiMtRi82JS1GLzYlRmFxRkZGW3FGYXBGXnFGRkZidEZhcC1GLzYpRmFxRkZGYXJGRkZecEZGRkNGRkZmcUZhcEZmci1GLzYpRmFxRkZGZHFGRkZecEZGLUY1NiNRJGNHUEYoLUYvNiUtRjU2I1Ejd0dGKEY4LUY9NiQtRi82KEZlbkZJRmFwLUYvNiUtRlE2Iy1GLzYmRmVuRltxRmFvRl5xRkZGZnFGYW9GYnQtRi82J0ZhcUZGRmZxRkZGXnAtRi82JS1GNTYjUSN3UEYoRjhGanY3Iy1JJ01hdHJpeEdGJTYjL0kkJWlkR0YoIjUnPiNcRkkoNFwkKm8k</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L9" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal"></Text-field>
</Input>
</Group>
<Group hide-input="false" labelreference="L10" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal">f_R:=&lt;(-kG*sqrt(((-4*dcG - 4*dcP - 4*Mext)*dqP + (dvG + dvP)^2)*RG^2 + 2*kG*(2*uG*dqP + kG*(dvG + dvP))*RG + kG^4) + (2*uG*dqP + kG*(dvG + dvP))*RG + kG^3)/(2*RG^2*dqP)

,((-RG*dvG - kG^2)*sqrt(((-4*dcG - 4*dcP - 4*Mext)*dqP + (dvG + dvP)^2)*RG^2 + 2*kG*(2*uG*dqP + kG*(dvG + dvP))*RG + kG^4) + (-2*dcG*dqP + dvG^2 + dvG*dvP)*RG^2 + ((2*dvG + dvP)*kG^2 + 2*uG*dqP*kG)*RG + kG^4)/(2*RG^2*dqP*cGP)

,(sqrt(((-4*dcG - 4*dcP - 4*Mext)*dqP + (dvG + dvP)^2)*RG^2 + 2*kG*(2*uG*dqP + kG*(dvG + dvP))*RG + kG^4) + (-dvG - dvP)*RG - kG^2)/(2*RG*dqP)

,(sqrt(((-4*dcG - 4*dcP - 4*Mext)*dqP + (dvG + dvP)^2)*RG^2 + 2*kG*(2*uG*dqP + kG*(dvG + dvP))*RG + kG^4) + (-dvG - dvP)*RG - kG^2)/(2*RG*dqP)&gt;</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="[encoded data, 5704 characters]">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</Equation></Text-field>
</Output>
</Group>
<Group hide-input="false" labelreference="L11" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal">A_l := eval(Jacobi(fM,xM), {iG = iGR, pGP = pGPR, wG = wGR, wP = wPR, uG = uGR, Mext = MextR})</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="[encoded data, 4184 characters]">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</Equation></Text-field>
</Output>
</Group>
<Group hide-input="false" labelreference="L13" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal">B_l := eval(Jacobi(fM,uM), {iG = iGR, pGP = pGPR, wG = wGR, wP = wPR, uG = uGR, Mext = MextR})</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSRCX2xHRihYLCUhR0YoRihbZ2whIiUhISEjKSIlIiMtSSZtZnJhY0c2JEYmL0krbW9kdWxlbmFtZUdGKEYkNiQtSSNtbkdGMjYjUSIxRigtSSNtaUdGMjYjUSNMR0YoLUY3NiNRIjBGKEY+Rj5GPkY+Rj4tSSVtcm93R0YyNiQtSSNtb0dGMjYjUSomdW1pbnVzMDtGKC1GMTYkRjYtRjs2I1EjSlBGKDcjLUknTWF0cml4R0YlNiMvSSQlaWRHRigiNUdvVDpJKDRcJCpvJA==</Equation></Text-field>
</Output>
</Group>
<Group hide-input="false" labelreference="L14" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal">C_l := eval(Jacobi(hM,xM), {iG = iGR, pGP = pGPR, wG = wGR, wP = wPR, uG = uGR, Mext = MextR})</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSRDX2xHRigtSSdSVEFCTEVHRig2JSI1Y0B4SkgoNFwkKm8kLUknTUFUUklYR0YoNiM3IzcmLUkjbW5HNiRGJi9JK21vZHVsZW5hbWVHRihGJDYjUSIwRihGN0Y3LUY4NiNRIjFGKEknTWF0cml4R0YlNyMtRkE2Iy9JJCVpZEdGKEYx</Equation></Text-field>
</Output>
</Group>
<Group hide-input="false" labelreference="L15" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal">D_l := eval(Jacobi(hM,uM), {iG = iGR, pGP = pGPR, wG = wGR, wP = wPR, uG = uGR, Mext = MextR})</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSREX2xHRigtSSdSVEFCTEVHRig2JSI1UyxMd0goNFwkKm8kLUknTUFUUklYR0YoNiM3IzckLUkjbW5HNiRGJi9JK21vZHVsZW5hbWVHRihGJDYjUSIwRihGN0knTWF0cml4R0YlNyMtRj42Iy9JJCVpZEdGKEYx</Equation></Text-field>
</Output>
</Group>
<Group hide-input="false" labelreference="L16" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal">fred := eval(&lt;fM[2],fM[3],fM[4]&gt;,iG = 1/RG * uG - kG/RG * wG);
hred := hM</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSVmcmVkR0YoLUknUlRBQkxFR0YoNiUiNTsmcDwkSCg0XCQqbyQtSSdNQVRSSVhHRig2JDclNyMtSSVtcm93RzYkRiYvSSttb2R1bGVuYW1lR0YoRiQ2JS1JI21pR0Y5NiNRI3dHRigtSSNtb0dGOTYjUSgmbWludXM7RigtRj42I1Ejd1BGKDcjLUkmbWZyYWNHRjk2JC1GODYrLUY4NiUtRj42I1Eja0dGKC1GQjYjUTEmSW52aXNpYmxlVGltZXM7RigtSShtZmVuY2VkR0Y5NiMtRjg2JS1GSjYkLUY+NiNRI3VHRigtRj42I1EjUkdGKEZBLUZKNiQtRjg2JUZQRlNGPUZqbkZBLUY4NiUtRj42I1EkZHZHRihGU0Y9RkEtRj42I1EkZGNHRihGQS1GODYlLUZXNiNGN0ZTLUY+NiNRJGRHUEYoRkEtRjg2JS1GPjYjUSRwR1BGKEZTLUY+NiNRJGNHUEYoLUY+NiNRI0pHRig3Iy1GSjYkLUY4Ni1GaW8tRkI2I1EnJnBsdXM7RihGYHBGQS1GODYlLUY+NiNRJGRxUEYoRlMtSSVtc3VwR0Y5NiRGRS1JI21uR0Y5NiNRIjJGKEZBLUY4NiUtRj42I1EkZHZQRihGU0ZFRkEtRj42I1ElTWV4dEYoRkEtRj42I1EkZGNQRigtRj42I1EjSlBGKDclUSJ4RihRInlGKFEiekYoJkknVmVjdG9yR0YlNiNJJ2NvbHVtbkdGKDcjLUZhczYjL0kkJWlkR0YoRjE=</Equation></Text-field>
</Output>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="LUkqbWNvbXBsZXRlRzYjL0krbW9kdWxlbmFtZUc2IkksVHlwZXNldHRpbmdHSShfc3lzbGliR0YnNiQtSSVtcm93R0YkNiYtSSNtaUdGJDYlUSVocmVkRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEpJkFzc2lnbjtGJy9GNlEnbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRkAvJSlzdHJldGNoeUdGQC8lKnN5bW1ldHJpY0dGQC8lKGxhcmdlb3BHRkAvJS5tb3ZhYmxlbGltaXRzR0ZALyUnYWNjZW50R0ZALyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTy1JKG1hY3Rpb25HRiQ2JS1GLDYnLUYsNictSShtZmVuY2VkR0YkNiQtRiw2Ji1GLzYlUSN3UEYnRjJGNS8lK2ZvcmVncm91bmRHUShbMCwwLDBdRicvJSlyZWFkb25seUdGQEY8RjwtSSVtc3ViR0YkNiUtRi82JVEiZUYnRjJGNS1GLzYlUSJ4RidGMkY1LyUvc3Vic2NyaXB0c2hpZnRHUSIwRidGW29GXm9GPEZbb0Zeb0Y8L0krbXNlbWFudGljc0dGJFEnVmVjdG9yRicvJSthY3Rpb250eXBlR1EucnRhYmxlYWRkcmVzc0YnLyUpcnRhYmxlaWRHUTUzNjg5MzQ5MDk3MjkzMTc3MTA3NkYnRjwtRlo2KC1GLDYmLUknbXRhYmxlR0YkNjUtSSRtdHJHRiQ2Ji1JJG10ZEdGJDYoLUYvNidGam5GMkZbb0Zeb0Y1LyUpcm93YWxpZ25HUSFGJy8lLGNvbHVtbmFsaWduR0ZmcS8lK2dyb3VwYWxpZ25HRmZxLyUocm93c3BhbkdRIjFGJy8lK2NvbHVtbnNwYW5HRl1yRmRxRmdxRmlxLyUmYWxpZ25HUSVheGlzRicvRmVxUSliYXNlbGluZUYnL0ZocVEnY2VudGVyRicvRmpxUSd8ZnJsZWZ0fGhyRicvJS9hbGlnbm1lbnRzY29wZUdGNC8lLGNvbHVtbndpZHRoR1ElYXV0b0YnLyUmd2lkdGhHRl1zLyUrcm93c3BhY2luZ0dRJjEuMGV4RicvJS5jb2x1bW5zcGFjaW5nR1EmMC44ZW1GJy8lKXJvd2xpbmVzR1Elbm9uZUYnLyUsY29sdW1ubGluZXNHRmhzLyUmZnJhbWVHRmhzLyUtZnJhbWVzcGFjaW5nR1EsMC40ZW1+MC41ZXhGJy8lKmVxdWFscm93c0dGQC8lLWVxdWFsY29sdW1uc0dGQC8lLWRpc3BsYXlzdHlsZUdGQC8lJXNpZGVHUSZyaWdodEYnLyUwbWlubGFiZWxzcGFjaW5nR0Zlc0Zbb0Zeb0Y8RltvRl5vRjwvJSVvcGVuR1EiW0YnLyUmY2xvc2VHUSJdRic=">LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSVocmVkR0YoLUknUlRBQkxFR0YoNiUiNXc1eEpIKDRcJCpvJC1JJ01BVFJJWEdGKDYkNyM3Iy1JI21pRzYkRiYvSSttb2R1bGVuYW1lR0YoRiQ2I1Ejd1BGKDcjUSJ4RigmSSdWZWN0b3JHRiU2I0knY29sdW1uR0YoNyMtRkA2Iy9JJCVpZEdGKEYx</Equation></Text-field>
</Output>
</Group>
<Group hide-input="false" labelreference="L20" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal">xMred := &lt;pGP,wG,wP&gt;;
uMred := uM</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSZ4TXJlZEdGKC1JJ1JUQUJMRUdGKDYlIjVHJ1slPkgoNFwkKm8kLUknTUFUUklYR0YoNiQ3JTcjLUkjbWlHNiRGJi9JK21vZHVsZW5hbWVHRihGJDYjUSRwR1BGKDcjLUY4NiNRI3dHRig3Iy1GODYjUSN3UEYoNyVRInhGKFEieUYoUSJ6RigmSSdWZWN0b3JHRiU2I0knY29sdW1uR0YoNyMtRko2Iy9JJCVpZEdGKEYx</Equation></Text-field>
</Output>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSZ1TXJlZEdGKC1JJ1JUQUJMRUdGKDYlIjV3dzo5SCg0XCQqbyQtSSdNQVRSSVhHRig2JDckNyMtSSNtaUc2JEYmL0krbW9kdWxlbmFtZUdGKEYkNiNRI3VHRig3Iy1GODYjUSVNZXh0Rig3JFEieEYoUSJ5RigmSSdWZWN0b3JHRiU2I0knY29sdW1uR0YoNyMtRkU2Iy9JJCVpZEdGKEYx</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L21" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal"></Text-field>
</Input>
</Group>
<Group labelreference="L22" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal"></Text-field>
</Input>
</Group>
<Group labelreference="L23" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal"></Text-field>
</Input>
</Group>
<Group hide-input="false" labelreference="L17" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal">A2 :=simplify(eval(solve({fred[1]=0, fred[2] = 0, fred[3]=0}, {pGP, wG, wP})))</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSNBMkdGKDwlL0kkcEdQR0YoKigsKiooSSNSR0dGKCIiIkkkZHZHR0YoRjUtSSdSb290T2ZHRiU2IywuKihGNEY1SSRkcVBHRihGNUkjX1pHRiUiIiNGNSomLCgqJkY0RjVGNkY1RjUqJkY0RjVJJGR2UEdGKEY1RjUqJEkja0dHRihGPkY1RjVGPUY1RjUqJkklTWV4dEdGKEY1RjRGNUY1KiZJJGRjR0dGKEY1RjRGNUY1KiZGNEY1SSRkY1BHRihGNUY1KiZGRUY1SSN1R0dGKEY1ISIiRjVGTiomRkVGPkY3RjVGTkZIRk5GTEY1RjVGNEZOSSRjR1BHRihGTi9JI3dHR0YoRjcvSSN3UEdGKEY3NyNGLg==</Equation></Text-field>
</Output>
</Group>
<Group hide-input="false" labelreference="L18" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal">A_v2 := convert(A2,Vector):
simplify(&lt;allvalues(A_v2[1])[1], allvalues(A_v2[2])[1], allvalues(A_v2[3])[1]&gt;)</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="[encoded data, 5508 characters]">LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyNYLCUhR0YoRihbZ2whIiUhISEjJCIkIiItSSVtcm93RzYkRiYvSSttb2R1bGVuYW1lR0YoRiQ2JS1JI21pR0YwNiNRJHBHUEYoLUkjbW9HRjA2I1EpJmVxdWFscztGKC1JJm1mcmFjR0YwNiQtRi82KS1GLzYlLUkobWZlbmNlZEdGMDYjLUYvNiYtRjk2I1EqJnVtaW51czA7RigtRi82JS1GNTYjUSNSR0YoLUY5NiNRMSZJbnZpc2libGVUaW1lcztGKC1GNTYjUSRkdkdGKC1GOTYjUSgmbWludXM7RigtSSVtc3VwR0YwNiQtRjU2I1Eja0dGKC1JI21uR0YwNiNRIjJGKEZQLUkmbXNxcnRHRjA2Iy1GLzYnLUYvNiUtRkQ2Iy1GLzYlLUYvNiUtRkQ2Iy1GLzYoRkgtRi82JS1Gam42I1EiNEYoRlAtRjU2I1EkZGNHRihGVi1GLzYlRmBwRlAtRjU2I1EkZGNQRihGVi1GLzYlRmBwRlAtRjU2I1ElTWV4dEYoRlAtRjU2I1EkZHFQRigtRjk2I1EnJnBsdXM7RigtRlo2JC1GRDYjLUYvNiVGU0ZjcS1GNTYjUSRkdlBGKEZpbkZQLUZaNiRGTUZpbkZjcS1GLzYpRmluRlBGZm5GUC1GRDYjLUYvNiUtRi82J0ZpbkZQLUY1NiNRI3VHRihGUEZgcUZjcS1GLzYlRmZuRlBGaHFGUEZNRmNxLUZaNiRGZm5GYHBGY3EtRi82JS1GRDYjLUYvNihGSC1GLzYnRmluRlBGY3BGUEZgcUZjcS1GWjYkRlNGaW5GY3EtRi82JUZTRlBGXHJGUEZfckZjcS1GLzYlLUZENiMtRi82JS1GLzYlLUZENiMtRi82JS1GLzYlRmluRlBGU0ZjcUZcckZQRllGY3EtRi82KUZpbkZQRmlyRlBGYHFGUEZmbkZQRk1GY3FGXnMtRi82KUZpbkZQRl9yRlBGYHFGUC1GNTYjUSRjR1BGKC1GLzYlLUY1NiNRI3dHRihGOC1GPTYkLUYvNidGXW9GY3EtRi82JS1GRDYjLUYvNiZGSEZTRlZGXHJGUEZNRlZGWS1GLzYnRmluRlBGTUZQRmBxLUYvNiUtRjU2I1Ejd1BGKEY4RmZ1NyMtSSdNYXRyaXhHRiU2Iy9JJCVpZEdGKCI1a0ovN0koNFwkKm8k</Equation></Text-field>
</Output>
</Group>
<Group hide-input="false" labelreference="L19" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal">A_l2 := eval(Jacobi(fred,xMred), {pGP = pGPR, wG = wGR, wP = wPR, uG = uGR, Mext = MextR})</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">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</Equation></Text-field>
</Output>
</Group>
<Group hide-input="false" labelreference="L24" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal">B_l2 := eval(Jacobi(fred,uMred), {pGP = pGPR, wG = wGR, wP = wPR, uG = uGR, Mext = MextR})</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSVCX2wyR0YoWCwlIUdGKEYoW2dsISIlISEhIyciJCIjLUkjbW5HNiRGJi9JK21vZHVsZW5hbWVHRihGJDYjUSIwRigtSSZtZnJhY0dGMjYkLUkjbWlHRjI2I1Eja0dGKC1JJW1yb3dHRjI2JS1GOzYjUSNKR0YoLUkjbW9HRjI2I1ExJkludmlzaWJsZVRpbWVzO0YoLUY7NiNRI1JHRihGMEYwRjAtRj82JC1GRTYjUSomdW1pbnVzMDtGKC1GODYkLUYxNiNRIjFGKC1GOzYjUSNKUEYoNyMtSSdNYXRyaXhHRiU2Iy9JJCVpZEdGKCI1IWU6JFxIKDRcJCpvJA==</Equation></Text-field>
</Output>
</Group>
<Group hide-input="false" labelreference="L25" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal">C_l2 := eval(Jacobi(hred,xMred), {pGP = pGPR, wG = wGR, wP = wPR, uG = uGR, Mext = MextR})</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSVDX2wyR0YoLUknUlRBQkxFR0YoNiUiNTNIIlsnSCg0XCQqbyQtSSdNQVRSSVhHRig2IzcjNyUtSSNtbkc2JEYmL0krbW9kdWxlbmFtZUdGKEYkNiNRIjBGKEY3LUY4NiNRIjFGKEknTWF0cml4R0YlNyMtRkE2Iy9JJCVpZEdGKEYx</Equation></Text-field>
</Output>
</Group>
<Group hide-input="false" labelreference="L26" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal">D_l2 := eval(Jacobi(hred,uMred), {pGP = pGPR, wG = wGR, wP = wPR, uG = uGR, Mext = MextR})</Text-field>
</Input>
<Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSVEX2wyR0YoLUknUlRBQkxFR0YoNiUiNXdLXEZJKDRcJCpvJC1JJ01BVFJJWEdGKDYjNyM3JC1JI21uRzYkRiYvSSttb2R1bGVuYW1lR0YoRiQ2I1EiMEYoRjdJJ01hdHJpeEdGJTcjLUY+NiMvSSQlaWRHRihGMQ==</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L27" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
<Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal"></Text-field>
</Input>
</Group><RTable handle="36893490972918094412">TTdSMApJQVJUQUJMRV9TQVZFLzM2ODkzNDkwOTcyOTE4MDk0NDEyWColKWFueXRoaW5nRzYiLyUnY29vcmRzRyUqY2FydGVzaWFuR1tnbCEjJSEhISIlIiUqJiUjTEdHISIieik2JyUjUkdHJSNpR0clI2tHRyUjdUdHJSN3R0dbW1tbW1tbX1tbXFtzRitcW1tbW1xbW1tbW1tzRitbW19bW1tbW1tbW1tvIiIiRjMsJkYyRjMlI3dQR0YrKiYlI0pHR0YrLCwqJkYwRjNGL0YzRjMqJiUkZHZHR0YzRjJGM0YrJSRkY0dHRisqJkY0RjMlJGRHUEdGM0YrKiYlJHBHUEdGMyUkY0dQR0YzRitGMyomJSNKUEdGKywuRj1GM0Y/RjMqJiUkZHFQR0YzRjUiIiNGKyomJSRkdlBHRjNGNUYzRislJU1leHRHRislJGRjUEdGK0YzRiU=</RTable><RTable handle="36893490972931771076">TTdSMApJQVJUQUJMRV9TQVZFLzM2ODkzNDkwOTcyOTMxNzcxMDc2WColKWFueXRoaW5nRzYiLyUnY29vcmRzRyUqY2FydGVzaWFuR1tnbCEjJSEhISIiIiIlI3dQR0Yl</RTable><RTable handle="36893490972914156236">TTdSMApJQVJUQUJMRV9TQVZFLzM2ODkzNDkwOTcyOTE0MTU2MjM2WColKWFueXRoaW5nRzYiLyUnY29vcmRzRyUqY2FydGVzaWFuR1tnbCEjJSEhISIlIiUlI2lHRyUkcEdQRyUjd0dHJSN3UEdGJQ==</RTable><RTable handle="36893490972914157676">TTdSMApJQVJUQUJMRV9TQVZFLzM2ODkzNDkwOTcyOTE0MTU3Njc2WColKWFueXRoaW5nRzYiLyUnY29vcmRzRyUqY2FydGVzaWFuR1tnbCEjJSEhISIjIiMlI3VHRyUlTWV4dEdGJQ==</RTable><RTable handle="36893490972964420412">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</RTable><RTable handle="36893490972931769516">TTdSMApJQVJUQUJMRV9TQVZFLzM2ODkzNDkwOTcyOTMxNzY5NTE2WColKWFueXRoaW5nRzYiLyUnY29vcmRzRyUqY2FydGVzaWFuR1tnbCEjJSEhISIkIiQsJiUjd0dHIiIiJSN3UEchIiIqJiUjSkdHRi0sLComJSNrR0dGKywmKiYlI1JHR0YtJSN1R0dGK0YrKihGMkYrRjVGLUYqRitGLUYrRisqJiUkZHZHR0YrRipGK0YtJSRkY0dHRi0qJkYpRislJGRHUEdGK0YtKiYlJHBHUEdGKyUkY0dQR0YrRi1GKyomJSNKUEdGLSwuRjtGK0Y9RisqJiUkZHFQR0YrRiwiIiNGLSomJSRkdlBHRitGLEYrRi0lJU1leHRHRi0lJGRjUEdGLUYrRiU=</RTable><RTable handle="36893490972919448628">TTdSMApJQVJUQUJMRV9TQVZFLzM2ODkzNDkwOTcyOTE5NDQ4NjI4WColKWFueXRoaW5nRzYiLyUnY29vcmRzRyUqY2FydGVzaWFuR1tnbCEjJSEhISIkIiQlJHBHUEclI3dHRyUjd1BHRiU=</RTable>
</Worksheet>