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ruhla.mw

ruhla.mw 121 KB
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  1. <?xml version="1.0" encoding="UTF-8"?>
    2. 

  2. <Worksheet>
    3. 

  3. <Version major="2020" minor="2"/>
    4. 

  4. <Label-Scheme value="2" prefix=""/>
    5. 

  5. <View-Properties presentation="false" autoexpanding_sections="true" UserProfileName="Maple Default Profile" NumericFormat-ApplyInteger="true" NumericFormat-ApplyRational="true" NumericFormat-ApplyExponent="false" editable="true">
    6. 

  6. </View-Properties>
    7. 

  7. <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"/>
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  11. <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"/>
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  13. <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"/>
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  15. <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"/>
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  20. <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"/>
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  35. <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"/>
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  42. <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"/>
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  46. <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"/>
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    48. 

  48. <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"/>
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  51. <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=""/>
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  55. <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=""/>
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  59. <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=""/>
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  61. <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="."/>
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  62. <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="."/>
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  63. <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="."/>
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  64. <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=""/>
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  65. <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=""/>
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  66. <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=""/>
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  67. <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=""/>
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  68. <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=""/>
    69. 

  69. <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=""/>
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  70. <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=""/>
    71. 

  71. <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=""/>
    72. 

  72. <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=""/>
    73. 

  73. <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=""/>
    74. 

  74. <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=""/>
    75. 

  75. <Pencil-style name="Pencil 1" pen-color="[0,0,0]" pen-height="1.0" pen-width="1.0" pen-opacity="1.0"/>
    76. 

  76. <Pencil-style name="Pencil 2" pen-color="[0,0,255]" pen-height="1.0" pen-width="1.0" pen-opacity="1.0"/>
    77. 

  77. <Pencil-style name="Pencil 3" pen-color="[0,0,0]" pen-height="3.0" pen-width="3.0" pen-opacity="1.0"/>
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  78. <Pencil-style name="Pencil 4" pen-color="[0,0,255]" pen-height="3.0" pen-width="3.0" pen-opacity="1.0"/>
    79. 

  79. <Pencil-style name="Pencil 5" pen-color="[255,0,0]" pen-height="5.0" pen-width="5.0" pen-opacity="1.0"/>
    80. 

  80. <Highlighter-style name="Highlighter 5" pen-color="[255,255,0]" pen-height="48.0" pen-width="48.0" pen-opacity="0.8"/>
    81. 

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    82. 

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    83. 

  83. <Highlighter-style name="Highlighter 1" pen-color="[255,153,255]" pen-height="12.0" pen-width="8.0" pen-opacity="0.8"/>
    84. 

  84. <Highlighter-style name="Highlighter 2" pen-color="[255,204,0]" pen-height="14.0" pen-width="14.0" pen-opacity="0.8"/>
    85. 

  85. </Styles>
    86. 

  86. <Startup-Code startupcode=""/>
    87. 

  87. <Task-table>
    88. 

  88.     <Task-category name="&lt;default&gt;"/>
    89. 

  89. </Task-table>
    90. 

  90. <Task/>
    91. 

  91. <Group hide-input="false" labelreference="L1" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
    92. 

  92. <Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal">with(LinearAlgebra):
    93. 

  93. with (VectorCalculus):
    94. 

  94. Jacobi := (f,x) -&gt; Jacobian(f,convert(x,list)):</Text-field>
    95. 

  95. </Input>
    96. 

  96. </Group>
    97. 

  97. <Group hide-input="false" labelreference="L5" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
    98. 

  98. <Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal">uG = uM;
    99. 

  99. Mext = dM;
    100. 

  100. wP = y;</Text-field>
    101. 

  101. </Input>
    102. 

  102. <Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEjdUdGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSSNtb0dGJDYtUSkmZXF1YWxzO0YnL0YzUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGPS8lKXN0cmV0Y2h5R0Y9LyUqc3ltbWV0cmljR0Y9LyUobGFyZ2VvcEdGPS8lLm1vdmFibGVsaW1pdHNHRj0vJSdhY2NlbnRHRj0vJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZMLUYsNiVRI3VNRidGL0YyRjk=">L0kjdUdHNiJJI3VNR0Yk</Equation></Text-field>
    103. 

  103. </Output>
    104. 

  104. <Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVElTWV4dEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RKSZlcXVhbHM7RicvRjNRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y9LyUpc3RyZXRjaHlHRj0vJSpzeW1tZXRyaWNHRj0vJShsYXJnZW9wR0Y9LyUubW92YWJsZWxpbWl0c0dGPS8lJ2FjY2VudEdGPS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRkwtRiw2JVEjZE1GJ0YvRjJGOQ==">L0klTWV4dEc2IkkjZE1HRiQ=</Equation></Text-field>
    105. 

  105. </Output>
    106. 

  106. <Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEjd1BGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSSNtb0dGJDYtUSkmZXF1YWxzO0YnL0YzUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGPS8lKXN0cmV0Y2h5R0Y9LyUqc3ltbWV0cmljR0Y9LyUobGFyZ2VvcEdGPS8lLm1vdmFibGVsaW1pdHNHRj0vJSdhY2NlbnRHRj0vJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZMLUYsNiVRInlGJ0YvRjJGOQ==">L0kjd1BHNiJJInlHRiQ=</Equation></Text-field>
    107. 

  107. </Output>
    108. 

  108. </Group>
    109. 

  109. <Group hide-input="false" labelreference="L2" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
    110. 

  110. <Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal">iG_p := 1/LG * (uG-RG*iG-kG*wG);
    111. 

  111. pGP_p := wG-wP;
    112. 

  112. wG_p := 1/JG*(kG*iG-(dcG+dvG*wG)-((wG-wP)*dGP+pGP*cGP));
    113. 

  113. wP_p := 1/JP*(((wG-wP)*dGP+pGP*cGP)-(dcP+dvP*wP+dqP*wP^2+Mext));</Text-field>
    114. 

  114. </Input>
    115. 

  115. <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>
    116. 

  116. </Output>
    117. 

  117. <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>
    118. 

  118. </Output>
    119. 

  119. <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>
    120. 

  120. </Output>
    121. 

  121. <Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEld1BfcEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RKSZBc3NpZ247RicvRjNRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y9LyUpc3RyZXRjaHlHRj0vJSpzeW1tZXRyaWNHRj0vJShsYXJnZW9wR0Y9LyUubW92YWJsZWxpbWl0c0dGPS8lJ2FjY2VudEdGPS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRkwtSSZtZnJhY0dGJDYoLUYjNi4tRiM2Ji1JKG1mZW5jZWRHRiQ2JC1GIzYmLUYsNiVRI3dHRidGL0YyLUY2Ni1RKCZtaW51cztGJ0Y5RjtGPkZARkJGREZGRkgvRktRLDAuMjIyMjIyMmVtRicvRk5GXG8tRiw2JVEjd1BGJ0YvRjJGOUY5LUY2Ni1RMSZJbnZpc2libGVUaW1lcztGJ0Y5RjtGPkZARkJGREZGRkgvRktRJjAuMGVtRicvRk5GZW8tRiw2JVEkZEdQRidGL0YyRjktRjY2LVEnJnBsdXM7RidGOUY7Rj5GQEZCRkRGRkZIRltvRl1vLUYjNiYtRiw2JVEkcEdQRidGL0YyRmFvLUYsNiVRJGNHUEYnRi9GMkY5RmhuLUYjNiYtRiw2JVEkZHFQRidGL0YyRmFvLUklbXN1cEdGJDYlRl5vLUkjbW5HRiQ2JFEiMkYnRjkvJTFzdXBlcnNjcmlwdHNoaWZ0R1EiMEYnRjlGaG4tRiM2Ji1GLDYlUSRkdlBGJ0YvRjJGYW9GXm9GOUZobi1GLDYlUSVNZXh0RidGL0YyRmhuLUYsNiVRJGRjUEYnRi9GMkY5LUYsNiVRI0pQRidGL0YyLyUubGluZXRoaWNrbmVzc0dRIjFGJy8lK2Rlbm9tYWxpZ25HUSdjZW50ZXJGJy8lKW51bWFsaWduR0Znci8lKWJldmVsbGVkR0Y9Rjk=">LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSV3UF9wR0YoKiZJI0pQR0YoISIiLC4qJiwmSSN3R0dGKCIiIkkjd1BHRihGMEY1SSRkR1BHRihGNUY1KiZJJHBHUEdGKEY1SSRjR1BHRihGNUY1KiZJJGRxUEdGKEY1RjYiIiNGMComSSRkdlBHRihGNUY2RjVGMEklTWV4dEdGKEYwSSRkY1BHRihGMEY1NyNGLg==</Equation></Text-field>
    122. 

  122. </Output>
    123. 

  123. </Group>
    124. 

  124. <Group hide-input="false" labelreference="L3" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
    125. 

  125. <Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal">fM := &lt;iG_p,pGP_p,wG_p,wP_p&gt;;
    126. 

  126. hM := &lt;wP&gt;</Text-field>
    127. 

  127. </Input>
    128. 

  128. <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>
    129. 

  129. </Output>
    130. 

  130. <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>
    131. 

  131. </Output>
    132. 

  132. </Group>
    133. 

  133. <Group hide-input="false" labelreference="L12" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
    134. 

  134. <Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal">xM := &lt;iG, pGP, wG, wP&gt;;
    135. 

  135. uM := &lt;uG, Mext&gt;</Text-field>
    136. 

  136. </Input>
    137. 

  137. <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>
    138. 

  138. </Output>
    139. 

  139. <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>
    140. 

  140. </Output>
    141. 

  141. </Group>
    142. 

  142. <Group hide-input="false" labelreference="L4" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
    143. 

  143. <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>
    144. 

  144. </Input>
    145. 

  145. <Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEiQUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RKSZBc3NpZ247RicvRjNRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y9LyUpc3RyZXRjaHlHRj0vJSpzeW1tZXRyaWNHRj0vJShsYXJnZW9wR0Y9LyUubW92YWJsZWxpbWl0c0dGPS8lJ2FjY2VudEdGPS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRkwtSShtZmVuY2VkR0YkNiYtRiM2LC1GIzYmLUYsNiVRI2lHRidGL0YyLUY2Ni1RKSZlcXVhbHM7RidGOUY7Rj5GQEZCRkRGRkZIRkpGTS1JJm1mcmFjR0YkNigtRiM2Jy1GNjYtUSomdW1pbnVzMDtGJ0Y5RjtGPkZARkJGREZGRkgvRktRLDAuMjIyMjIyMmVtRicvRk5GX28tRiM2Ji1GLDYlUSNrR0YnRi9GMi1GNjYtUTEmSW52aXNpYmxlVGltZXM7RidGOUY7Rj5GQEZCRkRGRkZIL0ZLUSYwLjBlbUYnL0ZORmpvLUYjNiYtRiw2JVEnUm9vdE9mRidGL0YyLUY2Ni1RMCZBcHBseUZ1bmN0aW9uO0YnRjlGO0Y+RkBGQkZERkZGSEZpb0ZbcC1GUDYkLUYjNi4tRiM2KC1GLDYlUSNSR0YnRi9GMkZmby1GLDYlUSRkcVBGJ0YvRjJGZm8tSSVtc3VwR0YkNiUtRiw2JVEjX1pGJ0YvRjItSSNtbkdGJDYkUSIyRidGOS8lMXN1cGVyc2NyaXB0c2hpZnRHUSIwRidGOS1GNjYtUScmcGx1cztGJ0Y5RjtGPkZARkJGREZGRkhGXm9GYG8tRiM2Ji1GUDYkLUYjNigtRiM2JkZqcEZmby1GLDYlUSRkdkdGJ0YvRjJGOUZdci1GIzYmRmpwRmZvLUYsNiVRJGR2UEYnRi9GMkY5Rl1yLUZhcTYlRmNvRmZxRmpxRjlGOUZmb0ZjcUY5Rl1yLUYjNiYtRiw2JVElTWV4dEYnRi9GMkZmb0ZqcEY5Rl1yLUYjNiYtRiw2JVEkZGNHRidGL0YyRmZvRmpwRjlGXXItRiM2JkZqcEZmby1GLDYlUSRkY1BGJ0YvRjJGOS1GNjYtUSgmbWludXM7RidGOUY7Rj5GQEZCRkRGRkZIRl5vRmBvLUYjNiZGY29GZm8tRiw2JVEjdUdGJ0YvRjJGOUY5RjlGOUY5Rl1yRmZ0RjlGanAvJS5saW5ldGhpY2tuZXNzR1EiMUYnLyUrZGVub21hbGlnbkdRJ2NlbnRlckYnLyUpbnVtYWxpZ25HRl51LyUpYmV2ZWxsZWRHRj1GOS1GNjYtUSIsRidGOUY7L0Y/RjFGQEZCRkRGRkZIRmlvL0ZOUSwwLjMzMzMzMzNlbUYnLUYjNiYtRiw2JVEkcEdQRidGL0YyRlktRmduNigtRiM2K0Zbby1GIzYoRmpwRmZvRmhyRmZvRlxwRjlGYXQtRiM2JkZgc0Zmb0ZccEY5RmF0RmdzRl1yRmR0RjktRiM2JkZqcEZmby1GLDYlUSRjR1BGJ0YvRjJGOUZpdEZcdUZfdUZhdUY5RmN1LUYjNiYtRiw2JVEjd0dGJ0YvRjJGWUZccEY5RmN1LUYjNiYtRiw2JVEjd1BGJ0YvRjJGWUZccEY5LyUrZm9yZWdyb3VuZEdRKFswLDAsMF1GJy8lKXJlYWRvbmx5R0Y9RjlGOS8lJW9wZW5HUScmbGN1YjtGJy8lJmNsb3NlR1EnJnJjdWI7RidGOQ==">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</Equation></Text-field>
    146. 

  146. </Output>
    147. 

  147. </Group>
    148. 

  148. <Group hide-input="false" labelreference="L6" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
    149. 

  149. <Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal">A_v := convert(A,Vector)</Text-field>
    150. 

  150. </Input>
    151. 

  151. <Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="LUkqbWNvbXBsZXRlRzYjL0krbW9kdWxlbmFtZUc2IkksVHlwZXNldHRpbmdHSShfc3lzbGliR0YnNiQtSSVtcm93R0YkNiYtSSNtaUdGJDYlUSRBX3ZGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSSNtb0dGJDYtUSkmQXNzaWduO0YnL0Y2USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGQC8lKXN0cmV0Y2h5R0ZALyUqc3ltbWV0cmljR0ZALyUobGFyZ2VvcEdGQC8lLm1vdmFibGVsaW1pdHNHRkAvJSdhY2NlbnRHRkAvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZPLUkobWZlbmNlZEdGJDYoLUYsNiYtSSdtdGFibGVHRiQ2OC1JJG10ckdGJDYmLUkkbXRkR0YkNigtRiw2Ji1GLzYlUSNpR0YnRjJGNS1GOTYtUSkmZXF1YWxzO0YnRjxGPkZBRkNGRUZHRklGS0ZNRlAtSSZtZnJhY0dGJDYoLUYsNictRjk2LVEqJnVtaW51czA7RidGPEY+RkFGQ0ZFRkdGSUZLL0ZOUSwwLjIyMjIyMjJlbUYnL0ZRRltwLUYsNiYtRi82JVEja0dGJ0YyRjUtRjk2LVExJkludmlzaWJsZVRpbWVzO0YnRjxGPkZBRkNGRUZHRklGSy9GTlEmMC4wZW1GJy9GUUZmcC1GLDYmLUYvNiVRJ1Jvb3RPZkYnRjJGNS1GOTYtUTAmQXBwbHlGdW5jdGlvbjtGJ0Y8Rj5GQUZDRkVGR0ZJRktGZXBGZ3AtRlM2JC1GLDYuLUYsNigtRi82JVEjUkdGJ0YyRjVGYnAtRi82JVEkZHFQRidGMkY1RmJwLUklbXN1cEdGJDYlLUYvNiVRI19aRidGMkY1LUkjbW5HRiQ2JFEiMkYnRjwvJTFzdXBlcnNjcmlwdHNoaWZ0R1EiMEYnRjwtRjk2LVEnJnBsdXM7RidGPEY+RkFGQ0ZFRkdGSUZLRmpvRlxwLUYsNiYtRlM2JC1GLDYoLUYsNiZGZnFGYnAtRi82JVEkZHZHRidGMkY1RjxGaXItRiw2JkZmcUZicC1GLzYlUSRkdlBGJ0YyRjVGPEZpci1GXXI2JUZfcEZickZmckY8RjxGYnBGX3JGPEZpci1GLDYmLUYvNiVRJU1leHRGJ0YyRjVGYnBGZnFGPEZpci1GLDYmLUYvNiVRJGRjR0YnRjJGNUZicEZmcUY8RmlyLUYsNiZGZnFGYnAtRi82JVEkZGNQRidGMkY1RjwtRjk2LVEoJm1pbnVzO0YnRjxGPkZBRkNGRUZHRklGS0Zqb0ZccC1GLDYmRl9wRmJwLUYvNiVRI3VHRidGMkY1RjxGPEY8RjxGPEZpckZidUY8RmZxLyUubGluZXRoaWNrbmVzc0dRIjFGJy8lK2Rlbm9tYWxpZ25HUSdjZW50ZXJGJy8lKW51bWFsaWduR0ZqdS8lKWJldmVsbGVkR0ZARjwvJSlyb3dhbGlnbkdRIUYnLyUsY29sdW1uYWxpZ25HRmF2LyUrZ3JvdXBhbGlnbkdGYXYvJShyb3dzcGFuR0ZndS8lK2NvbHVtbnNwYW5HRmd1Rl92RmJ2RmR2LUZlbjYmLUZobjYoLUYsNiYtRi82JVEkcEdQRidGMkY1Rl9vLUZjbzYoLUYsNitGZ28tRiw2KEZmcUZicEZkc0ZicEZocEY8Rl11LUYsNiZGXHRGYnBGaHBGPEZddUZjdEZpckZgdUY8LUYsNiZGZnFGYnAtRi82JVEkY0dQRidGMkY1RjxGZXVGaHVGW3ZGXXZGPEZfdkZidkZkdkZmdkZodkZfdkZidkZkdi1GZW42Ji1GaG42KC1GLDYmLUYvNiVRI3dHRidGMkY1Rl9vRmhwRjxGX3ZGYnZGZHZGZnZGaHZGX3ZGYnZGZHYtRmVuNiYtRmhuNigtRiw2Ji1GLzYlUSN3UEYnRjJGNUZfb0ZocEY8Rl92RmJ2RmR2RmZ2Rmh2Rl92RmJ2RmR2LyUmYWxpZ25HUSVheGlzRicvRmB2USliYXNlbGluZUYnL0ZjdkZqdS9GZXZRJ3xmcmxlZnR8aHJGJy8lL2FsaWdubWVudHNjb3BlR0Y0LyUsY29sdW1ud2lkdGhHUSVhdXRvRicvJSZ3aWR0aEdGXnovJStyb3dzcGFjaW5nR1EmMS4wZXhGJy8lLmNvbHVtbnNwYWNpbmdHUSYwLjhlbUYnLyUpcm93bGluZXNHUSVub25lRicvJSxjb2x1bW5saW5lc0dGaXovJSZmcmFtZUdGaXovJS1mcmFtZXNwYWNpbmdHUSwwLjRlbX4wLjVleEYnLyUqZXF1YWxyb3dzR0ZALyUtZXF1YWxjb2x1bW5zR0ZALyUtZGlzcGxheXN0eWxlR0ZALyUlc2lkZUdRJnJpZ2h0RicvJTBtaW5sYWJlbHNwYWNpbmdHRmZ6LyUrZm9yZWdyb3VuZEdRKFswLDAsMF1GJy8lKXJlYWRvbmx5R0ZARjxGPC9JK21zZW1hbnRpY3NHRiRRKkNvbFZlY3RvckYnLyUlb3BlbkdRJyZsc3FiO0YnLyUmY2xvc2VHUScmcnNxYjtGJ0ZhXGxGPC1GUzYoLUYsNiYtRlg2OC1GZW42Ji1GaG42KC1GLDYoLUYvNidGXm9GMkZcXGxGX1xsRjUtRjk2L1EiPUYnRlxcbEZfXGxGPEY+RkFGQ0ZFRkdGSUZLRk1GUC1GY282KS1GLDYmLUYsNiktRjk2L0Zpb0ZcXGxGX1xsRjxGPkZBRkNGRUZHRklGS0Zqb0ZccC1GLDYoLUYvNidGYXBGMkZcXGxGX1xsRjVGYnAtRiw2KC1GLzYnRlxxRjJGXFxsRl9cbEY1Rl1xLUZTNiYtRiw2Ji1GLDYwLUYsNiotRi82J0ZocUYyRlxcbEZfXGxGNUZicC1GLzYnRltyRjJGXFxsRl9cbEY1RmJwLUZdcjYlLUYvNidGYXJGMkZcXGxGX1xsRjUtRmNyNiZGZXJGXFxsRl9cbEY8RmZyRlxcbEZfXGxGPC1GOTYvUSIrRidGXFxsRl9cbEY8Rj5GQUZDRkVGR0ZJRktGam9GXHAtRiw2KC1GUzYmLUYsNiotRiw2KEZjX2xGYnAtRi82J0Zmc0YyRlxcbEZfXGxGNUZcXGxGX1xsRjxGXWBsLUYsNihGY19sRmJwLUYvNidGW3RGMkZcXGxGX1xsRjVGXFxsRl9cbEY8Rl1gbC1GLDYmLUZdcjYlRmVebEZbYGxGZnJGXFxsRl9cbEY8RlxcbEZfXGxGPEZcXGxGX1xsRjxGYnBGaV9sRlxcbEZfXGxGPEZdYGwtRiw2KC1GLzYnRmJ0RjJGXFxsRl9cbEY1RmJwRmNfbEZcXGxGX1xsRjxGXWBsLUYsNigtRi82J0ZndEYyRlxcbEZfXGxGNUZicEZjX2xGXFxsRl9cbEY8Rl1gbC1GLDYoRmNfbEZicC1GLzYnRlx1RjJGXFxsRl9cbEY1RlxcbEZfXGxGPC1GOTYvRl91RlxcbEZfXGxGPEY+RkFGQ0ZFRkdGSUZLRmpvRlxwLUYsNihGZV5sRmJwLUYvNidGZHVGMkZcXGxGX1xsRjVGXFxsRl9cbEY8RlxcbEZfXGxGPEZcXGxGX1xsRjxGXFxsRl9cbEY8RlxcbEZfXGxGPEZcXGxGX1xsRjxGXWBsRmJibEZcXGxGX1xsRjxGXFxsRl9cbEY8LUYsNiZGY19sRlxcbEZfXGxGPEZldUZodUZbdkZddkZcXGxGXFxsRl9cbEY8Rl92RmJ2RmR2RmZ2Rmh2Rl92RmJ2RmR2LUZlbjYmLUZobjYoLUYsNigtRi82J0Zid0YyRlxcbEZfXGxGNUZoXWwtRmNvNiktRiw2Ji1GLDYtRmFebC1GLDYqRmNfbEZicEZoYGxGYnBGZ15sRlxcbEZfXGxGPEZeYmwtRiw2KEZgYWxGYnBGZ15sRlxcbEZfXGxGPEZeYmxGZmFsRl1gbEZgYmxGXFxsRl9cbEY8RlxcbEZfXGxGPC1GLDYoRmNfbEZicC1GLzYnRl94RjJGXFxsRl9cbEY1RlxcbEZfXGxGPEZldUZodUZbdkZddkZcXGxGXFxsRl9cbEY8Rl92RmJ2RmR2RmZ2Rmh2Rl92RmJ2RmR2LUZlbjYmLUZobjYoLUYsNigtRi82J0ZoeEYyRlxcbEZfXGxGNUZoXWxGZ15sRlxcbEZfXGxGPEZfdkZidkZkdkZmdkZodkZfdkZidkZkdi1GZW42Ji1GaG42KC1GLDYoLUYvNidGYXlGMkZcXGxGX1xsRjVGaF1sRmdebEZcXGxGX1xsRjxGX3ZGYnZGZHZGZnZGaHZGX3ZGYnZGZHZGYnlGZXlGZ3lGaHlGanlGXHpGX3pGYXpGZHpGZ3pGanpGXFtsRl5bbEZhW2xGY1tsRmVbbEZnW2xGaltsRlxcbEZfXGxGPEZcXGxGX1xsRjwvRmVcbFEiW0YnL0ZoXGxRIl1GJw==">LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSRBX3ZHRihYKiUhR0YoRihbZ2whIyUhISEiJSIlLUklbXJvd0c2JEYmL0krbW9kdWxlbmFtZUdGKEYkNiUtSSNtaUdGMjYjUSNpR0YoLUkjbW9HRjI2I1EpJmVxdWFscztGKC1JJm1mcmFjR0YyNiQtRjE2Ji1GOzYjUSomdW1pbnVzMDtGKC1GMTYlLUY3NiNRI2tHRigtRjs2I1ExJkludmlzaWJsZVRpbWVzO0YoLUYxNiUtRjc2JFEnUm9vdE9mRigvSSpmb250c3R5bGVHRihRJ25vcm1hbEYoLUY7NiNRMCZBcHBseUZ1bmN0aW9uO0YoLUkobWZlbmNlZEdGMjYjLUYxNi0tRjE2Jy1GNzYjUSNSR0YoRkstRjc2I1EkZHFQRihGSy1JJW1zdXBHRjI2JC1GNzYjUSNfWkYoLUkjbW5HRjI2I1EiMkYoLUY7NiNRJyZwbHVzO0YoLUYxNiUtRlo2Iy1GMTYnLUYxNiVGam5GSy1GNzYjUSRkdkdGKEZqby1GMTYlRmpuRkstRjc2I1EkZHZQRihGam8tRmFvNiRGSEZmb0ZLRmNvRmpvLUYxNiUtRjc2I1ElTWV4dEYoRktGam5Gam8tRjE2JS1GNzYjUSRkY0dGKEZLRmpuRmpvLUYxNiVGam5GSy1GNzYjUSRkY1BGKC1GOzYjUSgmbWludXM7RigtRjE2JUZIRkstRjc2I1EjdUdGKEZqb0ZjckZqbi1GMTYlLUY3NiNRJHBHUEYoRjotRj82JC1GMTYqRkMtRjE2J0ZqbkZLRmVwRktGTkZeci1GMTYlRl1xRktGTkZeckZkcUZqb0Zhci1GMTYlRmpuRkstRjc2I1EkY0dQRigtRjE2JS1GNzYjUSN3R0YoRjpGTi1GMTYlLUY3NiNRI3dQRihGOkZONyMtJkknVmVjdG9yR0YlNiNJJ2NvbHVtbkdGKDYjL0kkJWlkR0YoIjUlMyRHa0goNFwkKm8k</Equation></Text-field>
    152. 

  152. </Output>
    153. 

  153. </Group>
    154. 

  154. <Group hide-input="false" labelreference="L7" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
    155. 

  155. <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>
    156. 

  156. </Input>
    157. 

  157. <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>
    158. 

  158. </Output>
    159. 

  159. </Group>
    160. 

  160. <Group hide-input="false" labelreference="L8" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
    161. 

  161. <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>
    162. 

  162. </Input>
    163. 

  163. <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>
    164. 

  164. </Input>
    165. 

  165. <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>
    166. 

  166. </Output>
    167. 

  167. </Group>
    168. 

  168. <Group labelreference="L9" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
    169. 

  169. <Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal"></Text-field>
    170. 

  170. </Input>
    171. 

  171. </Group>
    172. 

  172. <Group hide-input="false" labelreference="L10" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
    173. 

  173. <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)
    174. 

  174. 

  175. ,((-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)
    176. 

  176. 

  177. ,(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)
    178. 

  178. 

  179. ,(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>
    180. 

  180. </Input>
    181. 

  181. <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>
    182. 

  182. </Output>
    183. 

  183. </Group>
    184. 

  184. <Group hide-input="false" labelreference="L11" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
    185. 

  185. <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>
    186. 

  186. </Input>
    187. 

  187. <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>
    188. 

  188. </Output>
    189. 

  189. </Group>
    190. 

  190. <Group hide-input="false" labelreference="L13" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
    191. 

  191. <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>
    192. 

  192. </Input>
    193. 

  193. <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>
    194. 

  194. </Output>
    195. 

  195. </Group>
    196. 

  196. <Group hide-input="false" labelreference="L14" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
    197. 

  197. <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>
    198. 

  198. </Input>
    199. 

  199. <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>
    200. 

  200. </Output>
    201. 

  201. </Group>
    202. 

  202. <Group hide-input="false" labelreference="L15" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
    203. 

  203. <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>
    204. 

  204. </Input>
    205. 

  205. <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>
    206. 

  206. </Output>
    207. 

  207. </Group>
    208. 

  208. <Group hide-input="false" labelreference="L16" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
    209. 

  209. <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);
    210. 

  210. hred := hM</Text-field>
    211. 

  211. </Input>
    212. 

  212. <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>
    213. 

  213. </Output>
    214. 

  214. <Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSVocmVkR0YoLUknUlRBQkxFR0YoNiUiNXc1eEpIKDRcJCpvJC1JJ01BVFJJWEdGKDYkNyM3Iy1JI21pRzYkRiYvSSttb2R1bGVuYW1lR0YoRiQ2I1Ejd1BGKDcjUSJ4RigmSSdWZWN0b3JHRiU2I0knY29sdW1uR0YoNyMtRkA2Iy9JJCVpZEdGKEYx</Equation></Text-field>
    215. 

  215. </Output>
    216. 

  216. </Group>
    217. 

  217. <Group hide-input="false" labelreference="L20" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
    218. 

  218. <Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal">xMred := &lt;pGP,wG,wP&gt;;
    219. 

  219. uMred := uM</Text-field>
    220. 

  220. </Input>
    221. 

  221. <Output><Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="LUkqbWNvbXBsZXRlRzYjL0krbW9kdWxlbmFtZUc2IkksVHlwZXNldHRpbmdHSShfc3lzbGliR0YnNiQtSSVtcm93R0YkNiYtSSNtaUdGJDYlUSZ4TXJlZEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RKSZBc3NpZ247RicvRjZRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZALyUpc3RyZXRjaHlHRkAvJSpzeW1tZXRyaWNHRkAvJShsYXJnZW9wR0ZALyUubW92YWJsZWxpbWl0c0dGQC8lJ2FjY2VudEdGQC8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRk8tSShtYWN0aW9uR0YkNiUtRiw2Ky1GLDYnLUkobWZlbmNlZEdGJDYkLUYsNiYtRi82JVEkcEdQRidGMkY1LyUrZm9yZWdyb3VuZEdRKFswLDAsMF1GJy8lKXJlYWRvbmx5R0ZARjxGPC1JJW1zdWJHRiQ2JS1GLzYlUSJlRidGMkY1LUYvNiVRInhGJ0YyRjUvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJ0Zbb0Zeb0Y8LUY5Ni1RIitGJ0Y8Rj5GQUZDRkVGR0ZJRksvRk5RLDAuMjIyMjIyMmVtRicvRlFGYHAtRiw2Jy1GWjYkLUYsNiYtRi82JVEjd0dGJ0YyRjVGW29GXm9GPEY8LUZhbzYlRmNvLUYvNiVRInlGJ0YyRjVGaW9GW29GXm9GPEZccC1GLDYnLUZaNiQtRiw2Ji1GLzYlUSN3UEYnRjJGNUZbb0Zeb0Y8RjwtRmFvNiVGY28tRi82JVEiekYnRjJGNUZpb0Zbb0Zeb0Y8RltvRl5vRjwvSSttc2VtYW50aWNzR0YkUSdWZWN0b3JGJy8lK2FjdGlvbnR5cGVHUS5ydGFibGVhZGRyZXNzRicvJSlydGFibGVpZEdRNTM2ODkzNDkwOTcyOTE5NDQ4NjI4RidGPC1GWjYoLUYsNiYtSSdtdGFibGVHRiQ2Ny1JJG10ckdGJDYmLUkkbXRkR0YkNigtRi82J0ZqbkYyRltvRl5vRjUvJSlyb3dhbGlnbkdRIUYnLyUsY29sdW1uYWxpZ25HRmhzLyUrZ3JvdXBhbGlnbkdGaHMvJShyb3dzcGFuR1EiMUYnLyUrY29sdW1uc3BhbkdGX3RGZnNGaXNGW3QtRl9zNiYtRmJzNigtRi82J0ZqcEYyRltvRl5vRjVGZnNGaXNGW3RGXXRGYHRGZnNGaXNGW3QtRl9zNiYtRmJzNigtRi82J0ZocUYyRltvRl5vRjVGZnNGaXNGW3RGXXRGYHRGZnNGaXNGW3QvJSZhbGlnbkdRJWF4aXNGJy9GZ3NRKWJhc2VsaW5lRicvRmpzUSdjZW50ZXJGJy9GXHRRJ3xmcmxlZnR8aHJGJy8lL2FsaWdubWVudHNjb3BlR0Y0LyUsY29sdW1ud2lkdGhHUSVhdXRvRicvJSZ3aWR0aEdGW3YvJStyb3dzcGFjaW5nR1EmMS4wZXhGJy8lLmNvbHVtbnNwYWNpbmdHUSYwLjhlbUYnLyUpcm93bGluZXNHUSVub25lRicvJSxjb2x1bW5saW5lc0dGZnYvJSZmcmFtZUdGZnYvJS1mcmFtZXNwYWNpbmdHUSwwLjRlbX4wLjVleEYnLyUqZXF1YWxyb3dzR0ZALyUtZXF1YWxjb2x1bW5zR0ZALyUtZGlzcGxheXN0eWxlR0ZALyUlc2lkZUdRJnJpZ2h0RicvJTBtaW5sYWJlbHNwYWNpbmdHRmN2RltvRl5vRjxGW29GXm9GPC8lJW9wZW5HUSJbRicvJSZjbG9zZUdRIl1GJw==">LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSZ4TXJlZEdGKC1JJ1JUQUJMRUdGKDYlIjVHJ1slPkgoNFwkKm8kLUknTUFUUklYR0YoNiQ3JTcjLUkjbWlHNiRGJi9JK21vZHVsZW5hbWVHRihGJDYjUSRwR1BGKDcjLUY4NiNRI3dHRig3Iy1GODYjUSN3UEYoNyVRInhGKFEieUYoUSJ6RigmSSdWZWN0b3JHRiU2I0knY29sdW1uR0YoNyMtRko2Iy9JJCVpZEdGKEYx</Equation></Text-field>
    222. 

  222. </Output>
    223. 

  223. <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>
    224. 

  224. </Output>
    225. 

  225. </Group>
    226. 

  226. <Group labelreference="L21" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
    227. 

  227. <Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal"></Text-field>
    228. 

  228. </Input>
    229. 

  229. </Group>
    230. 

  230. <Group labelreference="L22" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
    231. 

  231. <Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal"></Text-field>
    232. 

  232. </Input>
    233. 

  233. </Group>
    234. 

  234. <Group labelreference="L23" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
    235. 

  235. <Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal"></Text-field>
    236. 

  236. </Input>
    237. 

  237. </Group>
    238. 

  238. <Group hide-input="false" labelreference="L17" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
    239. 

  239. <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>
    240. 

  240. </Input>
    241. 

  241. <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>
    242. 

  242. </Output>
    243. 

  243. </Group>
    244. 

  244. <Group hide-input="false" labelreference="L18" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
    245. 

  245. <Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal">A_v2 := convert(A2,Vector):
    246. 

  246. simplify(&lt;allvalues(A_v2[1])[1], allvalues(A_v2[2])[1], allvalues(A_v2[3])[1]&gt;)</Text-field>
    247. 

  247. </Input>
    248. 

  248. <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>
    249. 

  249. </Output>
    250. 

  250. </Group>
    251. 

  251. <Group hide-input="false" labelreference="L19" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
    252. 

  252. <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>
    253. 

  253. </Input>
    254. 

  254. <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>
    255. 

  255. </Output>
    256. 

  256. </Group>
    257. 

  257. <Group hide-input="false" labelreference="L24" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
    258. 

  258. <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>
    259. 

  259. </Input>
    260. 

  260. <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>
    261. 

  261. </Output>
    262. 

  262. </Group>
    263. 

  263. <Group hide-input="false" labelreference="L25" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
    264. 

  264. <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>
    265. 

  265. </Input>
    266. 

  266. <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>
    267. 

  267. </Output>
    268. 

  268. </Group>
    269. 

  269. <Group hide-input="false" labelreference="L26" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
    270. 

  270. <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>
    271. 

  271. </Input>
    272. 

  272. <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>
    273. 

  273. </Output>
    274. 

  274. </Group>
    275. 

  275. <Group labelreference="L27" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
    276. 

  276. <Input><Text-field prompt="&gt; " style="Maple Input" layout="Normal"></Text-field>
    277. 

  277. </Input>
    278. 

  278. </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>
    279. 

  279. </Worksheet>
    280.