<table cellspacing="0" cellpadding="0" border="0" ><tr><td valign="top" style="font: inherit;"><p class="MsoNormal">SCI LAB</p>

<p class="MsoNormal"><span class="apple-style-span"><span style="font-size:8.5pt;
line-height:115%;font-family:"Arial","sans-serif";color:#232323"><a href="mailto:dev@lists.scilab.org" target="_self"><span style="text-decoration:
none;text-underline:none">dev@lists.scilab.org</span></a></span><o:p></o:p></span></p>

<p class="MsoNormal" style="margin-bottom:6.0pt;line-height:14.4pt"><span style="font-family:"Arial","sans-serif";mso-fareast-font-family:"Times New Roman";
color:black">This inquiry is from India. I have a small size inverse problem of
the kind: Ax = b, the SVD analysis of which is given below: I have not used any
Matlab routine or advanced software. I have been working out details on excel
spreadsheet. Can I have any advantage in tackling the problems of the kind with
any SCILAB tools? <o:p></o:p></span></p>

<p class="MsoNormal" style="margin-bottom:6.0pt;line-height:14.4pt"><span style="font-family:"Arial","sans-serif";mso-fareast-font-family:"Times New Roman";
color:black">Given the structure and dynamics of the problem as illustrated
below, to what extent the tools may help to make a regularized solution to
approach reality? <o:p></o:p></span></p>

<p class="MsoNormal" style="margin-bottom:6.0pt;line-height:14.4pt"><span style="font-family:"Arial","sans-serif";mso-fareast-font-family:"Times New Roman";
color:black">Can the error in the solution be minimized by any routine? Any publications
available in this regard? </span><span style="font-size:10.0pt;font-family:
"Arial","sans-serif";mso-fareast-font-family:"Times New Roman";color:black"><o:p></o:p></span></p>

<div align="center">

<table class="MsoNormalTable" border="0" cellspacing="0" cellpadding="0" style="border-collapse:collapse;mso-yfti-tbllook:1184;mso-padding-alt:0in 0in 0in 0in">
 <tbody><tr style="mso-yfti-irow:0;mso-yfti-firstrow:yes;height:15.0pt">
  <td nowrap="" colspan="7" valign="bottom" style="border:solid windowtext 1.0pt;
  border-top:none;background:#DAEEF3;padding:0in 5.4pt 0in 5.4pt;height:15.0pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><b><span style="font-size:10.0pt;
  mso-fareast-font-family:"Times New Roman";color:black">A</span></b><span style="mso-fareast-font-family:"Times New Roman""><o:p></o:p></span></p>
  </td>
  <td nowrap="" valign="bottom" style="border:solid #7030A0 1.0pt;border-left:none;
  background:yellow;padding:0in 5.4pt 0in 5.4pt;height:15.0pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><b><span style="font-size:10.0pt;
  mso-fareast-font-family:"Times New Roman";color:black">x</span></b><span style="mso-fareast-font-family:"Times New Roman""><o:p></o:p></span></p>
  </td>
  <td nowrap="" valign="bottom" style="border:solid #7030A0 1.0pt;border-left:none;
  background:#FCD5B4;padding:0in 5.4pt 0in 5.4pt;height:15.0pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">b</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
 </tr>
 <tr style="mso-yfti-irow:1;height:15.0pt">
  <td nowrap="" valign="bottom" style="border:solid windowtext 1.0pt;border-top:
  none;background:#DAEEF3;padding:0in 5.4pt 0in 5.4pt;height:15.0pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="font-size:10.0pt;
  mso-fareast-font-family:"Times New Roman";color:darkblue">2.65</span><span style="mso-fareast-font-family:"Times New Roman""><o:p></o:p></span></p>
  </td>
  <td nowrap="" valign="bottom" style="border-top:none;border-left:none;border-bottom:
  solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;background:#DAEEF3;
  padding:0in 5.4pt 0in 5.4pt;height:15.0pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="font-size:10.0pt;
  mso-fareast-font-family:"Times New Roman";color:black">2.71</span><span style="mso-fareast-font-family:"Times New Roman""><o:p></o:p></span></p>
  </td>
  <td nowrap="" valign="bottom" style="border-top:none;border-left:none;border-bottom:
  solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;background:#DAEEF3;
  padding:0in 5.4pt 0in 5.4pt;height:15.0pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="font-size:10.0pt;
  mso-fareast-font-family:"Times New Roman";color:black">2.12</span><span style="mso-fareast-font-family:"Times New Roman""><o:p></o:p></span></p>
  </td>
  <td nowrap="" valign="bottom" style="border-top:none;border-left:none;border-bottom:
  solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;background:#DAEEF3;
  padding:0in 5.4pt 0in 5.4pt;height:15.0pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="font-size:10.0pt;
  mso-fareast-font-family:"Times New Roman";color:black">2.53</span><span style="mso-fareast-font-family:"Times New Roman""><o:p></o:p></span></p>
  </td>
  <td nowrap="" valign="bottom" style="border-top:none;border-left:none;border-bottom:
  solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;background:#DAEEF3;
  padding:0in 5.4pt 0in 5.4pt;height:15.0pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="font-size:10.0pt;
  mso-fareast-font-family:"Times New Roman";color:black">2.42</span><span style="mso-fareast-font-family:"Times New Roman""><o:p></o:p></span></p>
  </td>
  <td nowrap="" valign="bottom" style="border-top:none;border-left:none;border-bottom:
  solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;background:#DAEEF3;
  padding:0in 5.4pt 0in 5.4pt;height:15.0pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="font-size:10.0pt;
  mso-fareast-font-family:"Times New Roman";color:black">2.77</span><span style="mso-fareast-font-family:"Times New Roman""><o:p></o:p></span></p>
  </td>
  <td nowrap="" valign="bottom" style="border:none;border-bottom:solid windowtext 1.0pt;
  background:#DAEEF3;padding:0in 5.4pt 0in 5.4pt;height:15.0pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="font-size:10.0pt;
  mso-fareast-font-family:"Times New Roman";color:black">1.09</span><span style="mso-fareast-font-family:"Times New Roman""><o:p></o:p></span></p>
  </td>
  <td nowrap="" valign="bottom" style="border:solid #7030A0 1.0pt;border-top:none;
  background:yellow;padding:0in 5.4pt 0in 5.4pt;height:15.0pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><b><span style="font-size:10.0pt;
  mso-fareast-font-family:"Times New Roman";color:black">0.30</span></b><span style="mso-fareast-font-family:"Times New Roman""><o:p></o:p></span></p>
  </td>
  <td nowrap="" valign="bottom" style="border-top:none;border-left:none;border-bottom:
  solid #7030A0 1.0pt;border-right:solid #7030A0 1.0pt;background:#FCD5B4;
  padding:0in 5.4pt 0in 5.4pt;height:15.0pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">2.265</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
 </tr>
 <tr style="mso-yfti-irow:2;height:15.0pt">
  <td nowrap="" valign="bottom" style="border:solid windowtext 1.0pt;border-top:
  none;background:#DAEEF3;padding:0in 5.4pt 0in 5.4pt;height:15.0pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="font-size:10.0pt;
  mso-fareast-font-family:"Times New Roman";color:darkblue">5</span><span style="mso-fareast-font-family:"Times New Roman""><o:p></o:p></span></p>
  </td>
  <td nowrap="" valign="bottom" style="border-top:none;border-left:none;border-bottom:
  solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;background:#DAEEF3;
  padding:0in 5.4pt 0in 5.4pt;height:15.0pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="font-size:10.0pt;
  mso-fareast-font-family:"Times New Roman";color:black">0</span><span style="mso-fareast-font-family:"Times New Roman""><o:p></o:p></span></p>
  </td>
  <td nowrap="" valign="bottom" style="border-top:none;border-left:none;border-bottom:
  solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;background:#DAEEF3;
  padding:0in 5.4pt 0in 5.4pt;height:15.0pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="font-size:10.0pt;
  mso-fareast-font-family:"Times New Roman";color:black">180</span><span style="mso-fareast-font-family:"Times New Roman""><o:p></o:p></span></p>
  </td>
  <td nowrap="" valign="bottom" style="border-top:none;border-left:none;border-bottom:
  solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;background:#DAEEF3;
  padding:0in 5.4pt 0in 5.4pt;height:15.0pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="font-size:10.0pt;
  mso-fareast-font-family:"Times New Roman";color:black">12</span><span style="mso-fareast-font-family:"Times New Roman""><o:p></o:p></span></p>
  </td>
  <td nowrap="" valign="bottom" style="border-top:none;border-left:none;border-bottom:
  solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;background:#DAEEF3;
  padding:0in 5.4pt 0in 5.4pt;height:15.0pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="font-size:10.0pt;
  mso-fareast-font-family:"Times New Roman";color:black">44</span><span style="mso-fareast-font-family:"Times New Roman""><o:p></o:p></span></p>
  </td>
  <td nowrap="" valign="bottom" style="border-top:none;border-left:none;border-bottom:
  solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;background:#DAEEF3;
  padding:0in 5.4pt 0in 5.4pt;height:15.0pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="font-size:10.0pt;
  mso-fareast-font-family:"Times New Roman";color:black">2.04</span><span style="mso-fareast-font-family:"Times New Roman""><o:p></o:p></span></p>
  </td>
  <td nowrap="" valign="bottom" style="border:none;border-bottom:solid windowtext 1.0pt;
  background:#DAEEF3;padding:0in 5.4pt 0in 5.4pt;height:15.0pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="font-size:10.0pt;
  mso-fareast-font-family:"Times New Roman";color:black">0</span><span style="mso-fareast-font-family:"Times New Roman""><o:p></o:p></span></p>
  </td>
  <td nowrap="" valign="bottom" style="border:solid #7030A0 1.0pt;border-top:none;
  background:yellow;padding:0in 5.4pt 0in 5.4pt;height:15.0pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><b><span style="font-size:10.0pt;
  mso-fareast-font-family:"Times New Roman";color:black">0.05</span></b><span style="mso-fareast-font-family:"Times New Roman""><o:p></o:p></span></p>
  </td>
  <td nowrap="" valign="bottom" style="border-top:none;border-left:none;border-bottom:
  solid #7030A0 1.0pt;border-right:solid #7030A0 1.0pt;background:#FCD5B4;
  padding:0in 5.4pt 0in 5.4pt;height:15.0pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">22.784</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
 </tr>
 <tr style="mso-yfti-irow:3;height:15.0pt">
  <td nowrap="" valign="bottom" style="border:solid windowtext 1.0pt;border-top:
  none;background:#DAEEF3;padding:0in 5.4pt 0in 5.4pt;height:15.0pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="font-size:10.0pt;
  mso-fareast-font-family:"Times New Roman";color:darkblue">3</span><span style="mso-fareast-font-family:"Times New Roman""><o:p></o:p></span></p>
  </td>
  <td nowrap="" valign="bottom" style="border-top:none;border-left:none;border-bottom:
  solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;background:#DAEEF3;
  padding:0in 5.4pt 0in 5.4pt;height:15.0pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="font-size:10.0pt;
  mso-fareast-font-family:"Times New Roman";color:black">0</span><span style="mso-fareast-font-family:"Times New Roman""><o:p></o:p></span></p>
  </td>
  <td nowrap="" valign="bottom" style="border-top:none;border-left:none;border-bottom:
  solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;background:#DAEEF3;
  padding:0in 5.4pt 0in 5.4pt;height:15.0pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="font-size:10.0pt;
  mso-fareast-font-family:"Times New Roman";color:black">12</span><span style="mso-fareast-font-family:"Times New Roman""><o:p></o:p></span></p>
  </td>
  <td nowrap="" valign="bottom" style="border-top:none;border-left:none;border-bottom:
  solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;background:#DAEEF3;
  padding:0in 5.4pt 0in 5.4pt;height:15.0pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="font-size:10.0pt;
  mso-fareast-font-family:"Times New Roman";color:black">3.5</span><span style="mso-fareast-font-family:"Times New Roman""><o:p></o:p></span></p>
  </td>
  <td nowrap="" valign="bottom" style="border-top:none;border-left:none;border-bottom:
  solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;background:#DAEEF3;
  padding:0in 5.4pt 0in 5.4pt;height:15.0pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="font-size:10.0pt;
  mso-fareast-font-family:"Times New Roman";color:black">14</span><span style="mso-fareast-font-family:"Times New Roman""><o:p></o:p></span></p>
  </td>
  <td nowrap="" valign="bottom" style="border-top:none;border-left:none;border-bottom:
  solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;background:#DAEEF3;
  padding:0in 5.4pt 0in 5.4pt;height:15.0pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="font-size:10.0pt;
  mso-fareast-font-family:"Times New Roman";color:black">16</span><span style="mso-fareast-font-family:"Times New Roman""><o:p></o:p></span></p>
  </td>
  <td nowrap="" valign="bottom" style="border:none;border-bottom:solid windowtext 1.0pt;
  background:#DAEEF3;padding:0in 5.4pt 0in 5.4pt;height:15.0pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="font-size:10.0pt;
  mso-fareast-font-family:"Times New Roman";color:black">0</span><span style="mso-fareast-font-family:"Times New Roman""><o:p></o:p></span></p>
  </td>
  <td nowrap="" valign="bottom" style="border:solid #7030A0 1.0pt;border-top:none;
  background:yellow;padding:0in 5.4pt 0in 5.4pt;height:15.0pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><b><span style="font-size:10.0pt;
  mso-fareast-font-family:"Times New Roman";color:black">0.07</span></b><span style="mso-fareast-font-family:"Times New Roman""><o:p></o:p></span></p>
  </td>
  <td nowrap="" valign="bottom" style="border-top:none;border-left:none;border-bottom:
  solid #7030A0 1.0pt;border-right:solid #7030A0 1.0pt;background:#FCD5B4;
  padding:0in 5.4pt 0in 5.4pt;height:15.0pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">6.000</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
 </tr>
 <tr style="mso-yfti-irow:4;height:15.0pt">
  <td nowrap="" valign="bottom" style="border:solid windowtext 1.0pt;border-top:
  none;background:#DAEEF3;padding:0in 5.4pt 0in 5.4pt;height:15.0pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="font-size:10.0pt;
  mso-fareast-font-family:"Times New Roman";color:darkblue">-0.06</span><span style="mso-fareast-font-family:"Times New Roman""><o:p></o:p></span></p>
  </td>
  <td nowrap="" valign="bottom" style="border-top:none;border-left:none;border-bottom:
  solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;background:#DAEEF3;
  padding:0in 5.4pt 0in 5.4pt;height:15.0pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="font-size:10.0pt;
  mso-fareast-font-family:"Times New Roman";color:black">0</span><span style="mso-fareast-font-family:"Times New Roman""><o:p></o:p></span></p>
  </td>
  <td nowrap="" valign="bottom" style="border-top:none;border-left:none;border-bottom:
  solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;background:#DAEEF3;
  padding:0in 5.4pt 0in 5.4pt;height:15.0pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="font-size:10.0pt;
  mso-fareast-font-family:"Times New Roman";color:black">0.44</span><span style="mso-fareast-font-family:"Times New Roman""><o:p></o:p></span></p>
  </td>
  <td nowrap="" valign="bottom" style="border-top:none;border-left:none;border-bottom:
  solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;background:#DAEEF3;
  padding:0in 5.4pt 0in 5.4pt;height:15.0pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="font-size:10.0pt;
  mso-fareast-font-family:"Times New Roman";color:black">0.3</span><span style="mso-fareast-font-family:"Times New Roman""><o:p></o:p></span></p>
  </td>
  <td nowrap="" valign="bottom" style="border-top:none;border-left:none;border-bottom:
  solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;background:#DAEEF3;
  padding:0in 5.4pt 0in 5.4pt;height:15.0pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="font-size:10.0pt;
  mso-fareast-font-family:"Times New Roman";color:black">0.37</span><span style="mso-fareast-font-family:"Times New Roman""><o:p></o:p></span></p>
  </td>
  <td nowrap="" valign="bottom" style="border-top:none;border-left:none;border-bottom:
  solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;background:#DAEEF3;
  padding:0in 5.4pt 0in 5.4pt;height:15.0pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="font-size:10.0pt;
  mso-fareast-font-family:"Times New Roman";color:black">0.52</span><span style="mso-fareast-font-family:"Times New Roman""><o:p></o:p></span></p>
  </td>
  <td nowrap="" valign="bottom" style="border:none;border-bottom:solid windowtext 1.0pt;
  background:#DAEEF3;padding:0in 5.4pt 0in 5.4pt;height:15.0pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="font-size:10.0pt;
  mso-fareast-font-family:"Times New Roman";color:black">1</span><span style="mso-fareast-font-family:"Times New Roman""><o:p></o:p></span></p>
  </td>
  <td nowrap="" valign="bottom" style="border:solid #7030A0 1.0pt;border-top:none;
  background:yellow;padding:0in 5.4pt 0in 5.4pt;height:15.0pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><b><span style="font-size:10.0pt;
  mso-fareast-font-family:"Times New Roman";color:black">0.12</span></b><span style="mso-fareast-font-family:"Times New Roman""><o:p></o:p></span></p>
  </td>
  <td nowrap="" valign="bottom" style="border-top:none;border-left:none;border-bottom:
  solid #7030A0 1.0pt;border-right:solid #7030A0 1.0pt;background:#FCD5B4;
  padding:0in 5.4pt 0in 5.4pt;height:15.0pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">0.360</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
 </tr>
 <tr style="mso-yfti-irow:5;height:15.0pt">
  <td nowrap="" valign="bottom" style="border:solid windowtext 1.0pt;border-top:
  none;background:#DAEEF3;padding:0in 5.4pt 0in 5.4pt;height:15.0pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="font-size:10.0pt;
  mso-fareast-font-family:"Times New Roman";color:darkblue">2</span><span style="mso-fareast-font-family:"Times New Roman""><o:p></o:p></span></p>
  </td>
  <td nowrap="" valign="bottom" style="border-top:none;border-left:none;border-bottom:
  solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;background:#DAEEF3;
  padding:0in 5.4pt 0in 5.4pt;height:15.0pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="font-size:10.0pt;
  mso-fareast-font-family:"Times New Roman";color:black">5.5</span><span style="mso-fareast-font-family:"Times New Roman""><o:p></o:p></span></p>
  </td>
  <td nowrap="" valign="bottom" style="border-top:none;border-left:none;border-bottom:
  solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;background:#DAEEF3;
  padding:0in 5.4pt 0in 5.4pt;height:15.0pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="font-size:10.0pt;
  mso-fareast-font-family:"Times New Roman";color:black">2.04</span><span style="mso-fareast-font-family:"Times New Roman""><o:p></o:p></span></p>
  </td>
  <td nowrap="" valign="bottom" style="border-top:none;border-left:none;border-bottom:
  solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;background:#DAEEF3;
  padding:0in 5.4pt 0in 5.4pt;height:15.0pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="font-size:10.0pt;
  mso-fareast-font-family:"Times New Roman";color:black">3.45</span><span style="mso-fareast-font-family:"Times New Roman""><o:p></o:p></span></p>
  </td>
  <td nowrap="" valign="bottom" style="border-top:none;border-left:none;border-bottom:
  solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;background:#DAEEF3;
  padding:0in 5.4pt 0in 5.4pt;height:15.0pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="font-size:10.0pt;
  mso-fareast-font-family:"Times New Roman";color:black">1.83</span><span style="mso-fareast-font-family:"Times New Roman""><o:p></o:p></span></p>
  </td>
  <td nowrap="" valign="bottom" style="border-top:none;border-left:none;border-bottom:
  solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;background:#DAEEF3;
  padding:0in 5.4pt 0in 5.4pt;height:15.0pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="font-size:10.0pt;
  mso-fareast-font-family:"Times New Roman";color:black">6.37</span><span style="mso-fareast-font-family:"Times New Roman""><o:p></o:p></span></p>
  </td>
  <td nowrap="" valign="bottom" style="border:none;border-bottom:solid windowtext 1.0pt;
  background:#DAEEF3;padding:0in 5.4pt 0in 5.4pt;height:15.0pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="font-size:10.0pt;
  mso-fareast-font-family:"Times New Roman";color:black">0.8</span><span style="mso-fareast-font-family:"Times New Roman""><o:p></o:p></span></p>
  </td>
  <td nowrap="" valign="bottom" style="border:solid #7030A0 1.0pt;border-top:none;
  background:yellow;padding:0in 5.4pt 0in 5.4pt;height:15.0pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><b><span style="font-size:10.0pt;
  mso-fareast-font-family:"Times New Roman";color:black">0.16</span></b><span style="mso-fareast-font-family:"Times New Roman""><o:p></o:p></span></p>
  </td>
  <td nowrap="" valign="bottom" style="border-top:none;border-left:none;border-bottom:
  solid #7030A0 1.0pt;border-right:solid #7030A0 1.0pt;background:#FCD5B4;
  padding:0in 5.4pt 0in 5.4pt;height:15.0pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">2.522</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
 </tr>
 <tr style="mso-yfti-irow:6;height:15.0pt">
  <td nowrap="" valign="bottom" style="border:solid windowtext 1.0pt;border-top:
  none;background:#DAEEF3;padding:0in 5.4pt 0in 5.4pt;height:15.0pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="font-size:10.0pt;
  mso-fareast-font-family:"Times New Roman";color:darkblue">52</span><span style="mso-fareast-font-family:"Times New Roman""><o:p></o:p></span></p>
  </td>
  <td nowrap="" valign="bottom" style="border-top:none;border-left:none;border-bottom:
  solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;background:#DAEEF3;
  padding:0in 5.4pt 0in 5.4pt;height:15.0pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="font-size:10.0pt;
  mso-fareast-font-family:"Times New Roman";color:black">47</span><span style="mso-fareast-font-family:"Times New Roman""><o:p></o:p></span></p>
  </td>
  <td nowrap="" valign="bottom" style="border-top:none;border-left:none;border-bottom:
  solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;background:#DAEEF3;
  padding:0in 5.4pt 0in 5.4pt;height:15.0pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="font-size:10.0pt;
  mso-fareast-font-family:"Times New Roman";color:black">120</span><span style="mso-fareast-font-family:"Times New Roman""><o:p></o:p></span></p>
  </td>
  <td nowrap="" valign="bottom" style="border-top:none;border-left:none;border-bottom:
  solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;background:#DAEEF3;
  padding:0in 5.4pt 0in 5.4pt;height:15.0pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="font-size:10.0pt;
  mso-fareast-font-family:"Times New Roman";color:black">87</span><span style="mso-fareast-font-family:"Times New Roman""><o:p></o:p></span></p>
  </td>
  <td nowrap="" valign="bottom" style="border-top:none;border-left:none;border-bottom:
  solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;background:#DAEEF3;
  padding:0in 5.4pt 0in 5.4pt;height:15.0pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="font-size:10.0pt;
  mso-fareast-font-family:"Times New Roman";color:black">77</span><span style="mso-fareast-font-family:"Times New Roman""><o:p></o:p></span></p>
  </td>
  <td nowrap="" valign="bottom" style="border-top:none;border-left:none;border-bottom:
  solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;background:#DAEEF3;
  padding:0in 5.4pt 0in 5.4pt;height:15.0pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="font-size:10.0pt;
  mso-fareast-font-family:"Times New Roman";color:black">100</span><span style="mso-fareast-font-family:"Times New Roman""><o:p></o:p></span></p>
  </td>
  <td nowrap="" valign="bottom" style="border:none;border-bottom:solid windowtext 1.0pt;
  background:#DAEEF3;padding:0in 5.4pt 0in 5.4pt;height:15.0pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="font-size:10.0pt;
  mso-fareast-font-family:"Times New Roman";color:black">189</span><span style="mso-fareast-font-family:"Times New Roman""><o:p></o:p></span></p>
  </td>
  <td nowrap="" valign="bottom" style="border:solid #7030A0 1.0pt;border-top:none;
  background:yellow;padding:0in 5.4pt 0in 5.4pt;height:15.0pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><b><span style="font-size:10.0pt;
  mso-fareast-font-family:"Times New Roman";color:black">0.10</span></b><span style="mso-fareast-font-family:"Times New Roman""><o:p></o:p></span></p>
  </td>
  <td nowrap="" valign="bottom" style="border-top:none;border-left:none;border-bottom:
  solid #7030A0 1.0pt;border-right:solid #7030A0 1.0pt;background:#FCD5B4;
  padding:0in 5.4pt 0in 5.4pt;height:15.0pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">96.910</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
 </tr>
 <tr style="mso-yfti-irow:7;mso-yfti-lastrow:yes;height:15.0pt">
  <td nowrap="" valign="bottom" style="border:solid windowtext 1.0pt;border-top:
  none;background:#DAEEF3;padding:0in 5.4pt 0in 5.4pt;height:15.0pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="font-size:10.0pt;
  mso-fareast-font-family:"Times New Roman";color:darkblue">1</span><span style="mso-fareast-font-family:"Times New Roman""><o:p></o:p></span></p>
  </td>
  <td nowrap="" valign="bottom" style="border-top:none;border-left:none;border-bottom:
  solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;background:#DAEEF3;
  padding:0in 5.4pt 0in 5.4pt;height:15.0pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="font-size:10.0pt;
  mso-fareast-font-family:"Times New Roman";color:black">1</span><span style="mso-fareast-font-family:"Times New Roman""><o:p></o:p></span></p>
  </td>
  <td nowrap="" valign="bottom" style="border-top:none;border-left:none;border-bottom:
  solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;background:#DAEEF3;
  padding:0in 5.4pt 0in 5.4pt;height:15.0pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="font-size:10.0pt;
  mso-fareast-font-family:"Times New Roman";color:black">1</span><span style="mso-fareast-font-family:"Times New Roman""><o:p></o:p></span></p>
  </td>
  <td nowrap="" valign="bottom" style="border-top:none;border-left:none;border-bottom:
  solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;background:#DAEEF3;
  padding:0in 5.4pt 0in 5.4pt;height:15.0pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="font-size:10.0pt;
  mso-fareast-font-family:"Times New Roman";color:black">1</span><span style="mso-fareast-font-family:"Times New Roman""><o:p></o:p></span></p>
  </td>
  <td nowrap="" valign="bottom" style="border-top:none;border-left:none;border-bottom:
  solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;background:#DAEEF3;
  padding:0in 5.4pt 0in 5.4pt;height:15.0pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="font-size:10.0pt;
  mso-fareast-font-family:"Times New Roman";color:black">1</span><span style="mso-fareast-font-family:"Times New Roman""><o:p></o:p></span></p>
  </td>
  <td nowrap="" valign="bottom" style="border-top:none;border-left:none;border-bottom:
  solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;background:#DAEEF3;
  padding:0in 5.4pt 0in 5.4pt;height:15.0pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="font-size:10.0pt;
  mso-fareast-font-family:"Times New Roman";color:black">1</span><span style="mso-fareast-font-family:"Times New Roman""><o:p></o:p></span></p>
  </td>
  <td nowrap="" valign="bottom" style="border:none;border-bottom:solid windowtext 1.0pt;
  background:#DAEEF3;padding:0in 5.4pt 0in 5.4pt;height:15.0pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="font-size:10.0pt;
  mso-fareast-font-family:"Times New Roman";color:black">1</span><span style="mso-fareast-font-family:"Times New Roman""><o:p></o:p></span></p>
  </td>
  <td nowrap="" valign="bottom" style="border:solid #7030A0 1.0pt;border-top:none;
  background:yellow;padding:0in 5.4pt 0in 5.4pt;height:15.0pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><b><span style="font-size:10.0pt;
  mso-fareast-font-family:"Times New Roman";color:black">0.20</span></b><span style="mso-fareast-font-family:"Times New Roman""><o:p></o:p></span></p>
  </td>
  <td nowrap="" valign="bottom" style="border-top:none;border-left:none;border-bottom:
  solid #7030A0 1.0pt;border-right:solid #7030A0 1.0pt;background:#FCD5B4;
  padding:0in 5.4pt 0in 5.4pt;height:15.0pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">1.000</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
 </tr>
</tbody></table>

</div>

<p class="MsoNormal" style="margin-bottom:6.0pt;line-height:14.4pt"><span style="font-family:"Arial","sans-serif";mso-fareast-font-family:"Times New Roman";
color:black"> </span><span style="font-size:10.0pt;font-family:"Arial","sans-serif";
mso-fareast-font-family:"Times New Roman";color:black"><o:p></o:p></span></p>

<p class="MsoNormal" style="margin-bottom:6.0pt;line-height:14.4pt"><span style="font-family:"Arial","sans-serif";mso-fareast-font-family:"Times New Roman";
color:black">Can the inverse problem help me to retrieve the vector x with
precision with any numerical linear algebra tools? I have <b>x</b>^T =
[0.30, 0.05, 0.07, 0.12, 0.16, 0.10, 0.20]. Is there any mathematics that can
help me to retrieve these elements <b>x</b>₁₁, <b>x</b>₂₁…<b>x</b>₅₁ with
precision? Data vector <b>b</b> has the maximum error defined as
1.5%. Kernel of the problem <b>A</b> is assumed to be precise but
that too shall in have the same error of 1.5% at least.</span><span style="font-size:10.0pt;font-family:"Arial","sans-serif";mso-fareast-font-family:
"Times New Roman";color:black"><o:p></o:p></span></p>

<p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
text-align:center;line-height:14.4pt"><b><span style="font-family:"Arial","sans-serif";
mso-fareast-font-family:"Times New Roman";color:black">Singular Value
Decomposition</span></b><span style="font-size:10.0pt;font-family:"Arial","sans-serif";
mso-fareast-font-family:"Times New Roman";color:black"><o:p></o:p></span></p>

<div align="center">

<table class="MsoNormalTable" border="0" cellspacing="0" cellpadding="0" width="452" style="width:339.25pt;margin-left:5.4pt;border-collapse:collapse;mso-yfti-tbllook:
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 <tbody><tr style="mso-yfti-irow:0;mso-yfti-firstrow:yes;height:15.0pt">
  <td width="70" nowrap="" valign="bottom" style="width:52.8pt;padding:0in 5.4pt 0in 5.4pt;
  height:15.0pt">
  <p class="MsoNormal" align="left" style="margin:0in;margin-bottom:.0001pt;
  text-align:left;text-indent:18.05pt;line-height:normal"><b><span style="font-size:9.0pt;mso-fareast-font-family:"Times New Roman";color:black">U:</span></b><span style="mso-fareast-font-family:"Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="71" nowrap="" valign="bottom" style="width:53.1pt;padding:0in 5.4pt 0in 5.4pt;
  height:15.0pt"></td>
  <td width="60" nowrap="" valign="bottom" style="width:45.1pt;padding:0in 5.4pt 0in 5.4pt;
  height:15.0pt"></td>
  <td width="56" nowrap="" valign="bottom" style="width:41.85pt;padding:0in 5.4pt 0in 5.4pt;
  height:15.0pt"></td>
  <td width="65" nowrap="" valign="bottom" style="width:48.8pt;padding:0in 5.4pt 0in 5.4pt;
  height:15.0pt"></td>
  <td width="65" nowrap="" valign="bottom" style="width:48.8pt;padding:0in 5.4pt 0in 5.4pt;
  height:15.0pt"></td>
  <td width="65" nowrap="" valign="bottom" style="width:48.8pt;padding:0in 5.4pt 0in 5.4pt;
  height:15.0pt"></td>
 </tr>
 <tr style="mso-yfti-irow:1;height:15.0pt">
  <td width="70" nowrap="" valign="bottom" style="width:52.8pt;border:solid windowtext 1.0pt;
  padding:0in 5.4pt 0in 5.4pt;height:15.0pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="font-size:10.0pt;
  mso-fareast-font-family:"Times New Roman";color:darkblue">-0.017</span><span style="mso-fareast-font-family:"Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="71" nowrap="" valign="bottom" style="width:53.1pt;border:solid windowtext 1.0pt;
  border-left:none;padding:0in 5.4pt 0in 5.4pt;height:15.0pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">0.005</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="60" nowrap="" valign="bottom" style="width:45.1pt;border:solid windowtext 1.0pt;
  border-left:none;padding:0in 5.4pt 0in 5.4pt;height:15.0pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">-0.136</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="56" nowrap="" valign="bottom" style="width:41.85pt;border:solid windowtext 1.0pt;
  border-left:none;padding:0in 5.4pt 0in 5.4pt;height:15.0pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">0.404</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="65" nowrap="" valign="bottom" style="width:48.8pt;border:solid windowtext 1.0pt;
  border-left:none;padding:0in 5.4pt 0in 5.4pt;height:15.0pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">0.833</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="65" nowrap="" valign="bottom" style="width:48.8pt;border:solid windowtext 1.0pt;
  border-left:none;padding:0in 5.4pt 0in 5.4pt;height:15.0pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">-0.064</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="65" nowrap="" valign="bottom" style="width:48.8pt;border:solid windowtext 1.0pt;
  border-left:none;padding:0in 5.4pt 0in 5.4pt;height:15.0pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">-0.346</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
 </tr>
 <tr style="mso-yfti-irow:2;height:15.0pt">
  <td width="70" nowrap="" valign="bottom" style="width:52.8pt;border:solid windowtext 1.0pt;
  border-top:none;padding:0in 5.4pt 0in 5.4pt;height:15.0pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="font-size:10.0pt;
  mso-fareast-font-family:"Times New Roman";color:darkblue">-0.424</span><span style="mso-fareast-font-family:"Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="71" nowrap="" valign="bottom" style="width:53.1pt;border-top:none;
  border-left:none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  padding:0in 5.4pt 0in 5.4pt;height:15.0pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">-0.904</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="60" nowrap="" valign="bottom" style="width:45.1pt;border-top:none;
  border-left:none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  padding:0in 5.4pt 0in 5.4pt;height:15.0pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">0.049</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="56" nowrap="" valign="bottom" style="width:41.85pt;border-top:none;
  border-left:none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  padding:0in 5.4pt 0in 5.4pt;height:15.0pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">0.018</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="65" nowrap="" valign="bottom" style="width:48.8pt;border-top:none;
  border-left:none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  padding:0in 5.4pt 0in 5.4pt;height:15.0pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">-0.004</span><span style="mso-fareast-font-family:
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  </td>
  <td width="65" nowrap="" valign="bottom" style="width:48.8pt;border-top:none;
  border-left:none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  padding:0in 5.4pt 0in 5.4pt;height:15.0pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
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  </td>
  <td width="65" nowrap="" valign="bottom" style="width:48.8pt;border-top:none;
  border-left:none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  padding:0in 5.4pt 0in 5.4pt;height:15.0pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
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  </td>
 </tr>
 <tr style="mso-yfti-irow:3;height:15.0pt">
  <td width="70" nowrap="" valign="bottom" style="width:52.8pt;border:solid windowtext 1.0pt;
  border-top:none;padding:0in 5.4pt 0in 5.4pt;height:15.0pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="font-size:10.0pt;
  mso-fareast-font-family:"Times New Roman";color:darkblue">-0.059</span><span style="mso-fareast-font-family:"Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="71" nowrap="" valign="bottom" style="width:53.1pt;border-top:none;
  border-left:none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  padding:0in 5.4pt 0in 5.4pt;height:15.0pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
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  "Times New Roman";color:black">-0.03</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="60" nowrap="" valign="bottom" style="width:45.1pt;border-top:none;
  border-left:none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  padding:0in 5.4pt 0in 5.4pt;height:15.0pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
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  <td width="60" nowrap="" valign="bottom" style="width:45.1pt;border-top:none;
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  padding:0in 5.4pt 0in 5.4pt;height:15.0pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
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  <td width="56" nowrap="" valign="bottom" style="width:41.85pt;border-top:none;
  border-left:none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
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  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
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  "Times New Roman";color:black">0</span><span style="mso-fareast-font-family:
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  border-left:none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  padding:0in 5.4pt 0in 5.4pt;height:15.0pt">
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  "Times New Roman";color:black">0</span><span style="mso-fareast-font-family:
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 <tr style="mso-yfti-irow:12;height:15.0pt">
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  mso-fareast-font-family:"Times New Roman";color:darkblue">0</span><span style="mso-fareast-font-family:"Times New Roman""><o:p></o:p></span></p>
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  border-left:none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
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  border-left:none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
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  "Times New Roman";color:black">0</span><span style="mso-fareast-font-family:
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  border-left:none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
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  "Times New Roman";color:black">0</span><span style="mso-fareast-font-family:
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  mso-fareast-font-family:"Times New Roman";color:darkblue">0</span><span style="mso-fareast-font-family:"Times New Roman""><o:p></o:p></span></p>
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  border-left:none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  padding:0in 5.4pt 0in 5.4pt;height:15.0pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
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  border-left:none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
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  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
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  <td width="65" nowrap="" valign="bottom" style="width:48.8pt;border-top:none;
  border-left:none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  padding:0in 5.4pt 0in 5.4pt;height:15.0pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
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  "Times New Roman";color:black">0</span><span style="mso-fareast-font-family:
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  border-left:none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  padding:0in 5.4pt 0in 5.4pt;height:15.0pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
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  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="font-size:10.0pt;
  mso-fareast-font-family:"Times New Roman";color:darkblue">0</span><span style="mso-fareast-font-family:"Times New Roman""><o:p></o:p></span></p>
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  <td width="71" nowrap="" valign="bottom" style="width:53.1pt;border-top:none;
  border-left:none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  padding:0in 5.4pt 0in 5.4pt;height:15.0pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
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  "Times New Roman";color:black">0</span><span style="mso-fareast-font-family:
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  padding:0in 5.4pt 0in 5.4pt;height:15.0pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
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  <td width="56" nowrap="" valign="bottom" style="width:41.85pt;border-top:none;
  border-left:none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  padding:0in 5.4pt 0in 5.4pt;height:15.0pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
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  <td width="65" nowrap="" valign="bottom" style="width:48.8pt;border-top:none;
  border-left:none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
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  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
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  <td width="65" nowrap="" valign="bottom" style="width:48.8pt;border-top:none;
  border-left:none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  padding:0in 5.4pt 0in 5.4pt;height:15.0pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">0.112</span><span style="mso-fareast-font-family:
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  <td width="65" nowrap="" valign="bottom" style="width:48.8pt;border-top:none;
  border-left:none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  padding:0in 5.4pt 0in 5.4pt;height:15.0pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
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  "Times New Roman";color:black">0</span><span style="mso-fareast-font-family:
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  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
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  mso-fareast-font-family:"Times New Roman";color:darkblue">0</span><span style="mso-fareast-font-family:"Times New Roman""><o:p></o:p></span></p>
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  <td width="71" nowrap="" valign="bottom" style="width:53.1pt;border-top:none;
  border-left:none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  padding:0in 5.4pt 0in 5.4pt;height:15.0pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
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  "Times New Roman";color:black">0</span><span style="mso-fareast-font-family:
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  <td width="60" nowrap="" valign="bottom" style="width:45.1pt;border-top:none;
  border-left:none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  padding:0in 5.4pt 0in 5.4pt;height:15.0pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
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  "Times New Roman";color:black">0</span><span style="mso-fareast-font-family:
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  <td width="56" nowrap="" valign="bottom" style="width:41.85pt;border-top:none;
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  padding:0in 5.4pt 0in 5.4pt;height:15.0pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
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  <td width="65" nowrap="" valign="bottom" style="width:48.8pt;border-top:none;
  border-left:none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  padding:0in 5.4pt 0in 5.4pt;height:15.0pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
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  "Times New Roman";color:black">0</span><span style="mso-fareast-font-family:
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  <td width="65" nowrap="" valign="bottom" style="width:48.8pt;border-top:none;
  border-left:none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  padding:0in 5.4pt 0in 5.4pt;height:15.0pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">0</span><span style="mso-fareast-font-family:
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  <td width="65" nowrap="" valign="bottom" style="width:48.8pt;border-top:none;
  border-left:none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  padding:0in 5.4pt 0in 5.4pt;height:15.0pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">0.073</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
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 <tr style="mso-yfti-irow:16;height:15.0pt">
  <td width="70" nowrap="" valign="bottom" style="width:52.8pt;padding:0in 5.4pt 0in 5.4pt;
  height:15.0pt">
  <p class="MsoNormal" align="left" style="margin:0in;margin-bottom:.0001pt;
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  border-left:none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  padding:0in 5.4pt 0in 5.4pt;height:15.0pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">-0.466</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="65" nowrap="" valign="bottom" style="width:48.8pt;border-top:none;
  border-left:none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  padding:0in 5.4pt 0in 5.4pt;height:15.0pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">-0.113</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
 </tr>
 <tr style="mso-yfti-irow:22;height:15.0pt">
  <td width="70" nowrap="" valign="bottom" style="width:52.8pt;border:solid windowtext 1.0pt;
  border-top:none;padding:0in 5.4pt 0in 5.4pt;height:15.0pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="font-size:10.0pt;
  mso-fareast-font-family:"Times New Roman";color:darkblue">-0.589</span><span style="mso-fareast-font-family:"Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="71" nowrap="" valign="bottom" style="width:53.1pt;border-top:none;
  border-left:none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  padding:0in 5.4pt 0in 5.4pt;height:15.0pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">0.4</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="60" nowrap="" valign="bottom" style="width:45.1pt;border-top:none;
  border-left:none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  padding:0in 5.4pt 0in 5.4pt;height:15.0pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">-0.131</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="56" nowrap="" valign="bottom" style="width:41.85pt;border-top:none;
  border-left:none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  padding:0in 5.4pt 0in 5.4pt;height:15.0pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">0.063</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="65" nowrap="" valign="bottom" style="width:48.8pt;border-top:none;
  border-left:none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  padding:0in 5.4pt 0in 5.4pt;height:15.0pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">0.601</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="65" nowrap="" valign="bottom" style="width:48.8pt;border-top:none;
  border-left:none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  padding:0in 5.4pt 0in 5.4pt;height:15.0pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">-0.331</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="65" nowrap="" valign="bottom" style="width:48.8pt;border-top:none;
  border-left:none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  padding:0in 5.4pt 0in 5.4pt;height:15.0pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">0.047</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
 </tr>
 <tr style="mso-yfti-irow:23;mso-yfti-lastrow:yes;height:15.0pt">
  <td width="70" nowrap="" valign="bottom" style="width:52.8pt;border:solid windowtext 1.0pt;
  border-top:none;padding:0in 5.4pt 0in 5.4pt;height:15.0pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="font-size:10.0pt;
  mso-fareast-font-family:"Times New Roman";color:darkblue">0.244</span><span style="mso-fareast-font-family:"Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="71" nowrap="" valign="bottom" style="width:53.1pt;border-top:none;
  border-left:none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  padding:0in 5.4pt 0in 5.4pt;height:15.0pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">0.354</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="60" nowrap="" valign="bottom" style="width:45.1pt;border-top:none;
  border-left:none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  padding:0in 5.4pt 0in 5.4pt;height:15.0pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">0.025</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="56" nowrap="" valign="bottom" style="width:41.85pt;border-top:none;
  border-left:none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  padding:0in 5.4pt 0in 5.4pt;height:15.0pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">-0.879</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="65" nowrap="" valign="bottom" style="width:48.8pt;border-top:none;
  border-left:none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  padding:0in 5.4pt 0in 5.4pt;height:15.0pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">0.107</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="65" nowrap="" valign="bottom" style="width:48.8pt;border-top:none;
  border-left:none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  padding:0in 5.4pt 0in 5.4pt;height:15.0pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">0.034</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="65" nowrap="" valign="bottom" style="width:48.8pt;border-top:none;
  border-left:none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  padding:0in 5.4pt 0in 5.4pt;height:15.0pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">0.172</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
 </tr>
</tbody></table>

</div>

<p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
text-align:center;line-height:14.4pt"><span style="font-family:"Arial","sans-serif";
mso-fareast-font-family:"Times New Roman";color:black"> </span><span style="font-size:10.0pt;font-family:"Arial","sans-serif";mso-fareast-font-family:
"Times New Roman";color:black"><o:p></o:p></span></p>

<p class="MsoNormal" style="margin-bottom:6.0pt;line-height:12.0pt"><span style="font-family:"Arial","sans-serif";mso-fareast-font-family:"Times New Roman";
color:black"> U^T*b and singular values: Discrete Picard condition not
satisfied. </span><span style="font-size:10.0pt;font-family:"Arial","sans-serif";
mso-fareast-font-family:"Times New Roman";color:black"><o:p></o:p></span></p>

<p class="MsoNormal" style="margin-bottom:6.0pt;line-height:12.0pt"><span style="font-family:"Arial","sans-serif";mso-fareast-font-family:"Times New Roman";
color:black"> </span><span style="font-size:10.0pt;font-family:"Arial","sans-serif";
mso-fareast-font-family:"Times New Roman";color:black"><o:p></o:p></span></p>

<table class="MsoNormalTable" border="0" cellspacing="0" cellpadding="0" width="100%" style="width:100.0%;border-collapse:collapse;mso-yfti-tbllook:1184;mso-padding-alt:
 0in 0in 0in 0in">
 <tbody><tr style="mso-yfti-irow:0;mso-yfti-firstrow:yes;height:15.0pt">
  <td width="69%" nowrap="" colspan="7" valign="bottom" style="width:69.12%;
  border:solid windowtext 1.0pt;padding:0in 0in 0in 0in;height:15.0pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">U^transpose</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="9%" nowrap="" valign="bottom" style="width:9.04%;border:solid windowtext 1.0pt;
  border-left:none;padding:0in 0in 0in 0in;height:15.0pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">b</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="10%" nowrap="" valign="bottom" style="width:10.3%;border:solid windowtext 1.0pt;
  border-left:none;padding:0in 0in 0in 0in;height:15.0pt">
  <p class="MsoNormal" align="left" style="margin:0in;margin-bottom:.0001pt;
  text-align:left;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">U^T*b</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="11%" nowrap="" valign="bottom" style="width:11.54%;border:solid windowtext 1.0pt;
  border-left:none;padding:0in 0in 0in 0in;height:15.0pt">
  <p class="MsoNormal" align="left" style="margin:0in;margin-bottom:.0001pt;
  text-align:left;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">Sing value</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
 </tr>
 <tr style="mso-yfti-irow:1;height:15.75pt">
  <td width="9%" nowrap="" valign="bottom" style="width:9.86%;border:solid windowtext 1.0pt;
  border-top:none;background:yellow;padding:0in 0in 0in 0in;height:15.75pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">-0.01772</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="9%" nowrap="" valign="bottom" style="width:9.88%;border-top:none;
  border-left:none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  background:yellow;padding:0in 0in 0in 0in;height:15.75pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">-0.61485</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="9%" nowrap="" valign="bottom" style="width:9.88%;border-top:none;
  border-left:none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  background:yellow;padding:0in 0in 0in 0in;height:15.75pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">-0.07008</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="9%" nowrap="" valign="bottom" style="width:9.88%;border-top:none;
  border-left:none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  background:yellow;padding:0in 0in 0in 0in;height:15.75pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">-0.0042</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="9%" nowrap="" valign="bottom" style="width:9.88%;border-top:none;
  border-left:none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  background:yellow;padding:0in 0in 0in 0in;height:15.75pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">-0.01969</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="9%" nowrap="" valign="bottom" style="width:9.88%;border-top:none;
  border-left:none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  background:yellow;padding:0in 0in 0in 0in;height:15.75pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">-0.78502</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="9%" nowrap="" valign="bottom" style="width:9.88%;border-top:none;
  border-left:none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  background:yellow;padding:0in 0in 0in 0in;height:15.75pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">-0.00829</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="9%" nowrap="" valign="bottom" style="width:9.04%;border-top:none;
  border-left:none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  background:#FDE9D9;padding:0in 0in 0in 0in;height:15.75pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">2.3153</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="10%" nowrap="" valign="bottom" style="width:10.3%;border-top:none;
  border-left:none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  padding:0in 0in 0in 0in;height:15.75pt">
  <p class="MsoNormal" align="right" style="margin:0in;margin-bottom:.0001pt;
  text-align:right;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">-95.5104</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="11%" nowrap="" valign="bottom" style="width:11.54%;border-top:none;
  border-left:none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  background:yellow;padding:0in 0in 0in 0in;height:15.75pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:red">298.505</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
 </tr>
 <tr style="mso-yfti-irow:2;height:15.75pt">
  <td width="9%" nowrap="" valign="bottom" style="width:9.86%;border:solid windowtext 1.0pt;
  border-top:none;background:yellow;padding:0in 0in 0in 0in;height:15.75pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">0.00266</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="9%" nowrap="" valign="bottom" style="width:9.88%;border-top:none;
  border-left:none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  background:yellow;padding:0in 0in 0in 0in;height:15.75pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">-0.78646</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="9%" nowrap="" valign="bottom" style="width:9.88%;border-top:none;
  border-left:none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  background:yellow;padding:0in 0in 0in 0in;height:15.75pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">-0.01828</span><span style="mso-fareast-font-family:
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  "Times New Roman";color:black">2.3254</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="10%" nowrap="" valign="bottom" style="width:10.3%;border-top:none;
  border-left:none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  padding:0in 0in 0in 0in;height:15.75pt">
  <p class="MsoNormal" align="right" style="margin:0in;margin-bottom:.0001pt;
  text-align:right;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">0.376967</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="11%" nowrap="" valign="bottom" style="width:11.54%;border-top:none;
  border-left:none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  background:yellow;padding:0in 0in 0in 0in;height:15.75pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:red">1.79652</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
 </tr>
 <tr style="mso-yfti-irow:6;height:15.75pt">
  <td width="9%" nowrap="" valign="bottom" style="width:9.86%;border:solid windowtext 1.0pt;
  border-top:none;background:yellow;padding:0in 0in 0in 0in;height:15.75pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">0.31991</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="9%" nowrap="" valign="bottom" style="width:9.88%;border-top:none;
  border-left:none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  background:yellow;padding:0in 0in 0in 0in;height:15.75pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">-0.00003</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="9%" nowrap="" valign="bottom" style="width:9.88%;border-top:none;
  border-left:none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  background:yellow;padding:0in 0in 0in 0in;height:15.75pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">-0.0076</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="9%" nowrap="" valign="bottom" style="width:9.88%;border-top:none;
  border-left:none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  background:yellow;padding:0in 0in 0in 0in;height:15.75pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">0.58797</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="9%" nowrap="" valign="bottom" style="width:9.88%;border-top:none;
  border-left:none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  background:yellow;padding:0in 0in 0in 0in;height:15.75pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">-0.03808</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="9%" nowrap="" valign="bottom" style="width:9.88%;border-top:none;
  border-left:none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  background:yellow;padding:0in 0in 0in 0in;height:15.75pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">-0.00088</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="9%" nowrap="" valign="bottom" style="width:9.88%;border-top:none;
  border-left:none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  background:yellow;padding:0in 0in 0in 0in;height:15.75pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">-0.74192</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="9%" nowrap="" valign="bottom" style="width:9.04%;border-top:none;
  border-left:none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  background:#FDE9D9;padding:0in 0in 0in 0in;height:15.75pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">80.705</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="10%" nowrap="" valign="bottom" style="width:10.3%;border-top:none;
  border-left:none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  padding:0in 0in 0in 0in;height:15.75pt">
  <p class="MsoNormal" align="right" style="margin:0in;margin-bottom:.0001pt;
  text-align:right;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">-0.00964</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="11%" nowrap="" valign="bottom" style="width:11.54%;border-top:none;
  border-left:none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  background:yellow;padding:0in 0in 0in 0in;height:15.75pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:red">0.05186</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
 </tr>
 <tr style="mso-yfti-irow:7;mso-yfti-lastrow:yes;height:15.75pt">
  <td width="9%" nowrap="" valign="bottom" style="width:9.86%;border:solid windowtext 1.0pt;
  border-top:none;background:yellow;padding:0in 0in 0in 0in;height:15.75pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">-0.08879</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="9%" nowrap="" valign="bottom" style="width:9.88%;border-top:none;
  border-left:none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  background:yellow;padding:0in 0in 0in 0in;height:15.75pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">-0.00156</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="9%" nowrap="" valign="bottom" style="width:9.88%;border-top:none;
  border-left:none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  background:yellow;padding:0in 0in 0in 0in;height:15.75pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">-0.00661</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="9%" nowrap="" valign="bottom" style="width:9.88%;border-top:none;
  border-left:none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  background:yellow;padding:0in 0in 0in 0in;height:15.75pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">0.79897</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="9%" nowrap="" valign="bottom" style="width:9.88%;border-top:none;
  border-left:none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  background:yellow;padding:0in 0in 0in 0in;height:15.75pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">0.00568</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="9%" nowrap="" valign="bottom" style="width:9.88%;border-top:none;
  border-left:none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  background:yellow;padding:0in 0in 0in 0in;height:15.75pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">-0.00688</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="9%" nowrap="" valign="bottom" style="width:9.88%;border-top:none;
  border-left:none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  background:yellow;padding:0in 0in 0in 0in;height:15.75pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">0.59468</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="9%" nowrap="" valign="bottom" style="width:9.04%;border-top:none;
  border-left:none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  background:#FDE9D9;padding:0in 0in 0in 0in;height:15.75pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">1</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="10%" nowrap="" valign="bottom" style="width:10.3%;border-top:none;
  border-left:none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  padding:0in 0in 0in 0in;height:15.75pt">
  <p class="MsoNormal" align="right" style="margin:0in;margin-bottom:.0001pt;
  text-align:right;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">0.000829</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="11%" nowrap="" valign="bottom" style="width:11.54%;border-top:none;
  border-left:none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  background:yellow;padding:0in 0in 0in 0in;height:15.75pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:red">0.01536</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
 </tr>
</tbody></table>

<p class="MsoNormal" style="margin-bottom:6.0pt;line-height:12.0pt"><span style="font-family:"Arial","sans-serif";mso-fareast-font-family:"Times New Roman";
color:black"> </span><span style="font-size:10.0pt;font-family:"Arial","sans-serif";
mso-fareast-font-family:"Times New Roman";color:black"><o:p></o:p></span></p>

<p class="MsoNormal" style="margin-bottom:6.0pt;line-height:12.0pt"><span style="font-family:"Arial","sans-serif";mso-fareast-font-family:"Times New Roman";
color:black">Z = U^T*b/S. value</span><span style="font-size:10.0pt;font-family:
"Arial","sans-serif";mso-fareast-font-family:"Times New Roman";color:black"><o:p></o:p></span></p>

<table class="MsoNormalTable" border="0" cellspacing="0" cellpadding="0" width="64" style="width:48.0pt;margin-left:4.65pt;border-collapse:collapse;mso-yfti-tbllook:
 1184;mso-padding-alt:0in 0in 0in 0in">
 <tbody><tr style="mso-yfti-irow:0;mso-yfti-firstrow:yes;height:15.0pt">
  <td width="77" nowrap="" valign="bottom" style="width:.8in;border:solid windowtext 1.0pt;
  padding:0in 5.4pt 0in 5.4pt;height:15.0pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="font-size:14.0pt;
  mso-fareast-font-family:"Times New Roman";color:black">Z</span><span style="mso-fareast-font-family:"Times New Roman""><o:p></o:p></span></p>
  </td>
 </tr>
 <tr style="mso-yfti-irow:1;height:15.75pt">
  <td width="77" nowrap="" valign="bottom" style="width:.8in;border:solid windowtext 1.0pt;
  border-top:none;padding:0in 5.4pt 0in 5.4pt;height:15.75pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="font-size:14.0pt;
  mso-fareast-font-family:"Times New Roman";color:black">-0.320</span><span style="mso-fareast-font-family:"Times New Roman""><o:p></o:p></span></p>
  </td>
 </tr>
 <tr style="mso-yfti-irow:2;height:15.75pt">
  <td width="77" nowrap="" valign="bottom" style="width:.8in;border:solid windowtext 1.0pt;
  border-top:none;padding:0in 5.4pt 0in 5.4pt;height:15.75pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="font-size:14.0pt;
  mso-fareast-font-family:"Times New Roman";color:black">0.048</span><span style="mso-fareast-font-family:"Times New Roman""><o:p></o:p></span></p>
  </td>
 </tr>
 <tr style="mso-yfti-irow:3;height:15.75pt">
  <td width="77" nowrap="" valign="bottom" style="width:.8in;border:solid windowtext 1.0pt;
  border-top:none;padding:0in 5.4pt 0in 5.4pt;height:15.75pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="font-size:14.0pt;
  mso-fareast-font-family:"Times New Roman";color:black">-0.042</span><span style="mso-fareast-font-family:"Times New Roman""><o:p></o:p></span></p>
  </td>
 </tr>
 <tr style="mso-yfti-irow:4;height:15.75pt">
  <td width="77" nowrap="" valign="bottom" style="width:.8in;border:solid windowtext 1.0pt;
  border-top:none;padding:0in 5.4pt 0in 5.4pt;height:15.75pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="font-size:14.0pt;
  mso-fareast-font-family:"Times New Roman";color:black">0.122</span><span style="mso-fareast-font-family:"Times New Roman""><o:p></o:p></span></p>
  </td>
 </tr>
 <tr style="mso-yfti-irow:5;height:15.75pt">
  <td width="77" nowrap="" valign="bottom" style="width:.8in;border:solid windowtext 1.0pt;
  border-top:none;padding:0in 5.4pt 0in 5.4pt;height:15.75pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="font-size:14.0pt;
  mso-fareast-font-family:"Times New Roman";color:black">0.210</span><span style="mso-fareast-font-family:"Times New Roman""><o:p></o:p></span></p>
  </td>
 </tr>
 <tr style="mso-yfti-irow:6;height:15.75pt">
  <td width="77" nowrap="" valign="bottom" style="width:.8in;border:solid windowtext 1.0pt;
  border-top:none;padding:0in 5.4pt 0in 5.4pt;height:15.75pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="font-size:14.0pt;
  mso-fareast-font-family:"Times New Roman";color:black">-0.186</span><span style="mso-fareast-font-family:"Times New Roman""><o:p></o:p></span></p>
  </td>
 </tr>
 <tr style="mso-yfti-irow:7;mso-yfti-lastrow:yes;height:15.75pt">
  <td width="77" nowrap="" valign="bottom" style="width:.8in;border:solid windowtext 1.0pt;
  border-top:none;padding:0in 5.4pt 0in 5.4pt;height:15.75pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="font-size:14.0pt;
  mso-fareast-font-family:"Times New Roman";color:black">0.054</span><span style="mso-fareast-font-family:"Times New Roman""><o:p></o:p></span></p>
  </td>
 </tr>
</tbody></table>

<p class="MsoNormal" style="margin-bottom:6.0pt;line-height:12.0pt"><span style="font-family:"Arial","sans-serif";mso-fareast-font-family:"Times New Roman";
color:black"> </span><span style="font-size:10.0pt;font-family:"Arial","sans-serif";
mso-fareast-font-family:"Times New Roman";color:black"><o:p></o:p></span></p>

<p class="MsoNormal" style="margin-bottom:6.0pt;line-height:12.0pt"><span style="font-family:"Arial","sans-serif";mso-fareast-font-family:"Times New Roman";
color:black">Computing the errors – (norm) </span><b><span style="font-family:"Arial","sans-serif";mso-fareast-font-family:"Times New Roman";
color:red">ZV</span></b><span style="font-size:10.0pt;font-family:"Arial","sans-serif";
mso-fareast-font-family:"Times New Roman";color:black"><o:p></o:p></span></p>

<div align="center">

<table class="MsoNormalTable" border="0" cellspacing="0" cellpadding="0" width="100%" style="width:100.0%;border-collapse:collapse;mso-yfti-tbllook:1184;mso-padding-alt:
 0in 0in 0in 0in">
 <tbody><tr style="mso-yfti-irow:0;mso-yfti-firstrow:yes;height:15.75pt">
  <td width="11%" nowrap="" valign="bottom" style="width:11.0%;border:solid windowtext 1.0pt;
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  <td width="11%" nowrap="" valign="bottom" style="width:11.0%;border-top:none;
  border-left:none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  padding:0in 1.45pt 0in 1.45pt;height:15.75pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">0.08508</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="11%" nowrap="" valign="bottom" style="width:11.0%;border-top:none;
  border-left:none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  padding:0in 1.45pt 0in 1.45pt;height:15.75pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">0.17523</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="11%" nowrap="" valign="bottom" style="width:11.0%;border-top:none;
  border-left:none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  padding:0in 1.45pt 0in 1.45pt;height:15.75pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">-0.69364</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="11%" nowrap="" valign="bottom" style="width:11.0%;border-top:none;
  border-left:none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  background:#FDE9D9;padding:0in 1.45pt 0in 1.45pt;height:15.75pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">-0.19</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
 </tr>
 <tr style="mso-yfti-irow:5;height:15.75pt">
  <td width="11%" nowrap="" valign="bottom" style="width:11.0%;border:solid windowtext 1.0pt;
  border-top:none;background:yellow;padding:0in 1.45pt 0in 1.45pt;height:15.75pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">0.210</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="11%" nowrap="" valign="bottom" style="width:11.0%;border-top:none;
  border-left:none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  padding:0in 1.45pt 0in 1.45pt;height:15.75pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">-0.29671</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="11%" nowrap="" valign="bottom" style="width:11.0%;border-top:none;
  border-left:none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  padding:0in 1.45pt 0in 1.45pt;height:15.75pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">0.06539</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="11%" nowrap="" valign="bottom" style="width:11.0%;border-top:none;
  border-left:none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  padding:0in 1.45pt 0in 1.45pt;height:15.75pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">-0.45265</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="11%" nowrap="" valign="bottom" style="width:11.0%;border-top:none;
  border-left:none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  padding:0in 1.45pt 0in 1.45pt;height:15.75pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">-0.58171</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="11%" nowrap="" valign="bottom" style="width:11.0%;border-top:none;
  border-left:none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  padding:0in 1.45pt 0in 1.45pt;height:15.75pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">0.51325</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="11%" nowrap="" valign="bottom" style="width:11.0%;border-top:none;
  border-left:none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  padding:0in 1.45pt 0in 1.45pt;height:15.75pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">0.0942</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="11%" nowrap="" valign="bottom" style="width:11.0%;border-top:none;
  border-left:none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  padding:0in 1.45pt 0in 1.45pt;height:15.75pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">-0.30352</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="11%" nowrap="" valign="bottom" style="width:11.0%;border-top:none;
  border-left:none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  background:#FDE9D9;padding:0in 1.45pt 0in 1.45pt;height:15.75pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">0.05</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
 </tr>
 <tr style="mso-yfti-irow:6;height:15.75pt">
  <td width="11%" nowrap="" valign="bottom" style="width:11.0%;border:solid windowtext 1.0pt;
  border-top:none;background:yellow;padding:0in 1.45pt 0in 1.45pt;height:15.75pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">-0.186</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="11%" nowrap="" valign="bottom" style="width:11.0%;border-top:none;
  border-left:none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  padding:0in 1.45pt 0in 1.45pt;height:15.75pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">-0.27156</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="11%" nowrap="" valign="bottom" style="width:11.0%;border-top:none;
  border-left:none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  padding:0in 1.45pt 0in 1.45pt;height:15.75pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">0.30847</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="11%" nowrap="" valign="bottom" style="width:11.0%;border-top:none;
  border-left:none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  padding:0in 1.45pt 0in 1.45pt;height:15.75pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">-0.71201</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="11%" nowrap="" valign="bottom" style="width:11.0%;border-top:none;
  border-left:none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  padding:0in 1.45pt 0in 1.45pt;height:15.75pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">0.1642</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="11%" nowrap="" valign="bottom" style="width:11.0%;border-top:none;
  border-left:none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  padding:0in 1.45pt 0in 1.45pt;height:15.75pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">-0.4824</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="11%" nowrap="" valign="bottom" style="width:11.0%;border-top:none;
  border-left:none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  padding:0in 1.45pt 0in 1.45pt;height:15.75pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">-0.04129</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="11%" nowrap="" valign="bottom" style="width:11.0%;border-top:none;
  border-left:none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  padding:0in 1.45pt 0in 1.45pt;height:15.75pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">0.25052</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="11%" nowrap="" valign="bottom" style="width:11.0%;border-top:none;
  border-left:none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  background:#FDE9D9;padding:0in 1.45pt 0in 1.45pt;height:15.75pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">0.02</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
 </tr>
 <tr style="mso-yfti-irow:7;mso-yfti-lastrow:yes;height:15.75pt">
  <td width="11%" nowrap="" valign="bottom" style="width:11.0%;border:solid windowtext 1.0pt;
  border-top:none;background:yellow;padding:0in 1.45pt 0in 1.45pt;height:15.75pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">0.054</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="11%" nowrap="" valign="bottom" style="width:11.0%;border-top:none;
  border-left:none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  padding:0in 1.45pt 0in 1.45pt;height:15.75pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">-0.4972</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="11%" nowrap="" valign="bottom" style="width:11.0%;border-top:none;
  border-left:none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  padding:0in 1.45pt 0in 1.45pt;height:15.75pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">0.60089</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="11%" nowrap="" valign="bottom" style="width:11.0%;border-top:none;
  border-left:none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  padding:0in 1.45pt 0in 1.45pt;height:15.75pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">0.52539</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="11%" nowrap="" valign="bottom" style="width:11.0%;border-top:none;
  border-left:none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  padding:0in 1.45pt 0in 1.45pt;height:15.75pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">-0.28152</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="11%" nowrap="" valign="bottom" style="width:11.0%;border-top:none;
  border-left:none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  padding:0in 1.45pt 0in 1.45pt;height:15.75pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">-0.13823</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="11%" nowrap="" valign="bottom" style="width:11.0%;border-top:none;
  border-left:none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  padding:0in 1.45pt 0in 1.45pt;height:15.75pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">-0.03466</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="11%" nowrap="" valign="bottom" style="width:11.0%;border-top:none;
  border-left:none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  padding:0in 1.45pt 0in 1.45pt;height:15.75pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">0.12701</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="11%" nowrap="" valign="bottom" style="width:11.0%;border-top:none;
  border-left:none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  background:#FDE9D9;padding:0in 1.45pt 0in 1.45pt;height:15.75pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">0.21</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
 </tr>
</tbody></table>

</div>

<p class="MsoNormal" style="margin-bottom:6.0pt;line-height:12.0pt"><span style="font-family:"Arial","sans-serif";mso-fareast-font-family:"Times New Roman";
color:black">error is computed as below:</span><span style="font-size:10.0pt;
font-family:"Arial","sans-serif";mso-fareast-font-family:"Times New Roman";
color:black"><o:p></o:p></span></p>

<p class="MsoNormal" align="left" style="margin:0in;margin-bottom:.0001pt;
text-align:left;line-height:14.4pt"><span style="font-family:"Arial","sans-serif";
mso-fareast-font-family:"Times New Roman";color:black">solution error that can
be arrived at by comparing the inverse solution with the prior <b>x </b>used
for deriving <b>b</b> of <b>Ax = b.</b></span><span style="font-size:10.0pt;font-family:"Arial","sans-serif";mso-fareast-font-family:
"Times New Roman";color:black"><o:p></o:p></span></p>

<p class="MsoNormal" align="left" style="margin:0in;margin-bottom:.0001pt;
text-align:left;line-height:14.4pt"><span style="font-size:10.0pt;font-family:
"Arial","sans-serif";mso-fareast-font-family:"Times New Roman";color:black"> <o:p></o:p></span></p>

<div align="center">

<table class="MsoNormalTable" border="0" cellspacing="0" cellpadding="0" width="100%" style="width:100.0%;border-collapse:collapse;mso-yfti-tbllook:1184;mso-padding-alt:
 0in 0in 0in 0in">
 <tbody><tr style="mso-yfti-irow:0;mso-yfti-firstrow:yes;height:15.75pt">
  <td width="56" nowrap="" style="width:42.3pt;border:solid windowtext 1.0pt;
  background:yellow;padding:0in 1.45pt 0in 1.45pt;height:15.75pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">b</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="63" nowrap="" style="width:47.35pt;border:solid windowtext 1.0pt;
  border-left:none;padding:0in 1.45pt 0in 1.45pt;height:15.75pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">U^T*b</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="68" nowrap="" style="width:50.85pt;border:solid windowtext 1.0pt;
  border-left:none;padding:0in 1.45pt 0in 1.45pt;height:15.75pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">Sing</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">values</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="52" nowrap="" style="width:38.9pt;border:solid windowtext 1.0pt;
  border-left:none;padding:0in 1.45pt 0in 1.45pt;height:15.75pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">Z</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="48" nowrap="" style="width:.5in;border:solid windowtext 1.0pt;
  border-left:none;padding:0in 1.45pt 0in 1.45pt;height:15.75pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">v</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="55" nowrap="" style="width:41.35pt;border:solid windowtext 1.0pt;
  border-left:none;padding:0in 1.45pt 0in 1.45pt;height:15.75pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">Error</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">Norm</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="63" nowrap="" style="width:46.9pt;border:solid windowtext 1.0pt;
  border-left:none;padding:0in 1.45pt 0in 1.45pt;height:15.75pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><b><span style="mso-fareast-font-family:
  "Times New Roman";color:red">Vz = x</span></b><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="128" nowrap="" style="width:96.15pt;border:solid windowtext 1.0pt;
  border-left:none;padding:0in 1.45pt 0in 1.45pt;height:15.75pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">Prior used for</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">getting b</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="52" nowrap="" style="width:38.9pt;border:solid windowtext 1.0pt;
  border-left:none;padding:0in 1.45pt 0in 1.45pt;height:15.75pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">Diff</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="72" nowrap="" style="width:54.15pt;border:solid windowtext 1.0pt;
  border-left:none;padding:0in 1.45pt 0in 1.45pt;height:15.75pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">% error</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
 </tr>
 <tr style="mso-yfti-irow:1;height:15.75pt">
  <td width="56" nowrap="" style="width:42.3pt;border:solid windowtext 1.0pt;
  border-top:none;background:yellow;padding:0in 1.45pt 0in 1.45pt;height:15.75pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">2.31</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="63" nowrap="" style="width:47.35pt;border-top:none;border-left:none;
  border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  padding:0in 1.45pt 0in 1.45pt;height:15.75pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">-95.51</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="68" nowrap="" style="width:50.85pt;border-top:none;border-left:none;
  border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  padding:0in 1.45pt 0in 1.45pt;height:15.75pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">298.51</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="52" nowrap="" style="width:38.9pt;border-top:none;border-left:none;
  border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  padding:0in 1.45pt 0in 1.45pt;height:15.75pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">-0.32</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="48" nowrap="" rowspan="7" style="width:.5in;border-top:none;border-left:
  none;border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  padding:0in 1.45pt 0in 1.45pt;height:15.75pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">V</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="55" nowrap="" style="width:41.35pt;border-top:none;border-left:none;
  border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  padding:0in 1.45pt 0in 1.45pt;height:15.75pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">-0.82</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="63" nowrap="" style="width:46.9pt;border-top:none;border-left:none;
  border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  padding:0in 1.45pt 0in 1.45pt;height:15.75pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">0.31</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="128" nowrap="" style="width:96.15pt;border-top:none;border-left:none;
  border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  background:yellow;padding:0in 1.45pt 0in 1.45pt;height:15.75pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">0.35</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="52" nowrap="" style="width:38.9pt;border-top:none;border-left:none;
  border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  padding:0in 1.45pt 0in 1.45pt;height:15.75pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">0.04</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="72" nowrap="" style="width:54.15pt;border-top:none;border-left:none;
  border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  padding:0in 1.45pt 0in 1.45pt;height:15.75pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">10.57</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
 </tr>
 <tr style="mso-yfti-irow:2;height:15.75pt">
  <td width="56" nowrap="" style="width:42.3pt;border:solid windowtext 1.0pt;
  border-top:none;background:yellow;padding:0in 1.45pt 0in 1.45pt;height:15.75pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">51.33</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="63" nowrap="" style="width:47.35pt;border-top:none;border-left:none;
  border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  padding:0in 1.45pt 0in 1.45pt;height:15.75pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">9.35</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="68" nowrap="" style="width:50.85pt;border-top:none;border-left:none;
  border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  padding:0in 1.45pt 0in 1.45pt;height:15.75pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">194.18</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="52" nowrap="" style="width:38.9pt;border-top:none;border-left:none;
  border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  padding:0in 1.45pt 0in 1.45pt;height:15.75pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">0.05</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="55" nowrap="" style="width:41.35pt;border-top:none;border-left:none;
  border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  padding:0in 1.45pt 0in 1.45pt;height:15.75pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">1.08</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="63" nowrap="" style="width:46.9pt;border-top:none;border-left:none;
  border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  padding:0in 1.45pt 0in 1.45pt;height:15.75pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">0.01</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="128" nowrap="" style="width:96.15pt;border-top:none;border-left:none;
  border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  background:yellow;padding:0in 1.45pt 0in 1.45pt;height:15.75pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">0.05</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="52" nowrap="" style="width:38.9pt;border-top:none;border-left:none;
  border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  padding:0in 1.45pt 0in 1.45pt;height:15.75pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">0.04</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="72" nowrap="" style="width:54.15pt;border-top:none;border-left:none;
  border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  padding:0in 1.45pt 0in 1.45pt;height:15.75pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">72.88</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
 </tr>
 <tr style="mso-yfti-irow:3;height:15.75pt">
  <td width="56" nowrap="" style="width:42.3pt;border:solid windowtext 1.0pt;
  border-top:none;background:yellow;padding:0in 1.45pt 0in 1.45pt;height:15.75pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">7.08</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="63" nowrap="" style="width:47.35pt;border-top:none;border-left:none;
  border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  padding:0in 1.45pt 0in 1.45pt;height:15.75pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">-0.72</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="68" nowrap="" style="width:50.85pt;border-top:none;border-left:none;
  border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  padding:0in 1.45pt 0in 1.45pt;height:15.75pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">17.17</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="52" nowrap="" style="width:38.9pt;border-top:none;border-left:none;
  border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  padding:0in 1.45pt 0in 1.45pt;height:15.75pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">-0.04</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="55" nowrap="" style="width:41.35pt;border-top:none;border-left:none;
  border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  padding:0in 1.45pt 0in 1.45pt;height:15.75pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">-0.80</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="63" nowrap="" style="width:46.9pt;border-top:none;border-left:none;
  border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  padding:0in 1.45pt 0in 1.45pt;height:15.75pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">0.22</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="128" nowrap="" style="width:96.15pt;border-top:none;border-left:none;
  border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  background:yellow;padding:0in 1.45pt 0in 1.45pt;height:15.75pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">0.20</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="52" nowrap="" style="width:38.9pt;border-top:none;border-left:none;
  border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  padding:0in 1.45pt 0in 1.45pt;height:15.75pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">-0.02</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="72" nowrap="" style="width:54.15pt;border-top:none;border-left:none;
  border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  padding:0in 1.45pt 0in 1.45pt;height:15.75pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">-10.59</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
 </tr>
 <tr style="mso-yfti-irow:4;height:15.75pt">
  <td width="56" nowrap="" style="width:42.3pt;border:solid windowtext 1.0pt;
  border-top:none;background:yellow;padding:0in 1.45pt 0in 1.45pt;height:15.75pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">0.35</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="63" nowrap="" style="width:47.35pt;border-top:none;border-left:none;
  border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  padding:0in 1.45pt 0in 1.45pt;height:15.75pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">0.43</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="68" nowrap="" style="width:50.85pt;border-top:none;border-left:none;
  border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  padding:0in 1.45pt 0in 1.45pt;height:15.75pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">3.53</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="52" nowrap="" style="width:38.9pt;border-top:none;border-left:none;
  border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  padding:0in 1.45pt 0in 1.45pt;height:15.75pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">0.12</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="55" nowrap="" style="width:41.35pt;border-top:none;border-left:none;
  border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  padding:0in 1.45pt 0in 1.45pt;height:15.75pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">-0.19</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="63" nowrap="" style="width:46.9pt;border-top:none;border-left:none;
  border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  padding:0in 1.45pt 0in 1.45pt;height:15.75pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">0.15</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="128" nowrap="" style="width:96.15pt;border-top:none;border-left:none;
  border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  background:yellow;padding:0in 1.45pt 0in 1.45pt;height:15.75pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">0.09</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="52" nowrap="" style="width:38.9pt;border-top:none;border-left:none;
  border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  padding:0in 1.45pt 0in 1.45pt;height:15.75pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">-0.06</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="72" nowrap="" style="width:54.15pt;border-top:none;border-left:none;
  border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  padding:0in 1.45pt 0in 1.45pt;height:15.75pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">-65.74</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
 </tr>
 <tr style="mso-yfti-irow:5;height:15.75pt">
  <td width="56" nowrap="" style="width:42.3pt;border:solid windowtext 1.0pt;
  border-top:none;background:yellow;padding:0in 1.45pt 0in 1.45pt;height:15.75pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">2.32</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="63" nowrap="" style="width:47.35pt;border-top:none;border-left:none;
  border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  padding:0in 1.45pt 0in 1.45pt;height:15.75pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">0.38</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="68" nowrap="" style="width:50.85pt;border-top:none;border-left:none;
  border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  padding:0in 1.45pt 0in 1.45pt;height:15.75pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">1.80</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="52" nowrap="" style="width:38.9pt;border-top:none;border-left:none;
  border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  padding:0in 1.45pt 0in 1.45pt;height:15.75pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">0.21</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="55" nowrap="" style="width:41.35pt;border-top:none;border-left:none;
  border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  padding:0in 1.45pt 0in 1.45pt;height:15.75pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">0.05</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="63" nowrap="" style="width:46.9pt;border-top:none;border-left:none;
  border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  padding:0in 1.45pt 0in 1.45pt;height:15.75pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">0.14</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="128" nowrap="" style="width:96.15pt;border-top:none;border-left:none;
  border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  background:yellow;padding:0in 1.45pt 0in 1.45pt;height:15.75pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">0.11</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="52" nowrap="" style="width:38.9pt;border-top:none;border-left:none;
  border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  padding:0in 1.45pt 0in 1.45pt;height:15.75pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">-0.03</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="72" nowrap="" style="width:54.15pt;border-top:none;border-left:none;
  border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  padding:0in 1.45pt 0in 1.45pt;height:15.75pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">-24.18</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
 </tr>
 <tr style="mso-yfti-irow:6;height:15.75pt">
  <td width="56" nowrap="" style="width:42.3pt;border:solid windowtext 1.0pt;
  border-top:none;background:yellow;padding:0in 1.45pt 0in 1.45pt;height:15.75pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">80.70</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="63" nowrap="" style="width:47.35pt;border-top:none;border-left:none;
  border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  padding:0in 1.45pt 0in 1.45pt;height:15.75pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">-0.01</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="68" nowrap="" style="width:50.85pt;border-top:none;border-left:none;
  border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  padding:0in 1.45pt 0in 1.45pt;height:15.75pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">0.05</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="52" nowrap="" style="width:38.9pt;border-top:none;border-left:none;
  border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  padding:0in 1.45pt 0in 1.45pt;height:15.75pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">-0.19</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="55" nowrap="" style="width:41.35pt;border-top:none;border-left:none;
  border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  padding:0in 1.45pt 0in 1.45pt;height:15.75pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">0.02</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="63" nowrap="" style="width:46.9pt;border-top:none;border-left:none;
  border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  padding:0in 1.45pt 0in 1.45pt;height:15.75pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">0.06</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="128" nowrap="" style="width:96.15pt;border-top:none;border-left:none;
  border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  background:yellow;padding:0in 1.45pt 0in 1.45pt;height:15.75pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">0.08</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="52" nowrap="" style="width:38.9pt;border-top:none;border-left:none;
  border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  padding:0in 1.45pt 0in 1.45pt;height:15.75pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">0.02</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="72" nowrap="" style="width:54.15pt;border-top:none;border-left:none;
  border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  padding:0in 1.45pt 0in 1.45pt;height:15.75pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">28.10</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
 </tr>
 <tr style="mso-yfti-irow:7;mso-yfti-lastrow:yes;height:15.75pt">
  <td width="56" nowrap="" style="width:42.3pt;border:solid windowtext 1.0pt;
  border-top:none;background:yellow;padding:0in 1.45pt 0in 1.45pt;height:15.75pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">1.00</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="63" nowrap="" style="width:47.35pt;border-top:none;border-left:none;
  border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  padding:0in 1.45pt 0in 1.45pt;height:15.75pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">0.00</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="68" nowrap="" style="width:50.85pt;border-top:none;border-left:none;
  border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  padding:0in 1.45pt 0in 1.45pt;height:15.75pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">0.02</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="52" nowrap="" style="width:38.9pt;border-top:none;border-left:none;
  border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  padding:0in 1.45pt 0in 1.45pt;height:15.75pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">0.00</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="55" nowrap="" style="width:41.35pt;border-top:none;border-left:none;
  border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  padding:0in 1.45pt 0in 1.45pt;height:15.75pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">0.09</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="63" nowrap="" style="width:46.9pt;border-top:none;border-left:none;
  border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  padding:0in 1.45pt 0in 1.45pt;height:15.75pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">0.11</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="128" nowrap="" style="width:96.15pt;border-top:none;border-left:none;
  border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  background:yellow;padding:0in 1.45pt 0in 1.45pt;height:15.75pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">0.12</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="52" nowrap="" style="width:38.9pt;border-top:none;border-left:none;
  border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  padding:0in 1.45pt 0in 1.45pt;height:15.75pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">0.01</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
  <td width="72" nowrap="" style="width:54.15pt;border-top:none;border-left:none;
  border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt;
  padding:0in 1.45pt 0in 1.45pt;height:15.75pt">
  <p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
  text-align:center;line-height:normal"><span style="mso-fareast-font-family:
  "Times New Roman";color:black">9.05</span><span style="mso-fareast-font-family:
  "Times New Roman""><o:p></o:p></span></p>
  </td>
 </tr>
</tbody></table>

</div>

<p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
text-align:center;line-height:14.4pt"><span style="font-size:10.0pt;font-family:
"Arial","sans-serif";mso-fareast-font-family:"Times New Roman";color:black"> <o:p></o:p></span></p>

<p class="MsoNormal" align="center" style="margin:0in;margin-bottom:.0001pt;
text-align:center;line-height:14.4pt"><span style="font-size:10.0pt;font-family:
"Arial","sans-serif";mso-fareast-font-family:"Times New Roman";color:black"> <o:p></o:p></span></p>

<p class="MsoNormal" style="margin:0in;margin-bottom:.0001pt;line-height:14.4pt"><span style="font-family:"Arial","sans-serif";mso-fareast-font-family:"Times New Roman";
color:black">Can this method work for some reasonably good solution? 
Regularization can work when discrete Picard condition is not satisfied with
any SCILAB tools?</span><span style="font-size:10.0pt;font-family:"Arial","sans-serif";
mso-fareast-font-family:"Times New Roman";color:black"><o:p></o:p></span></p>

<p class="MsoNormal" style="margin:0in;margin-bottom:.0001pt;line-height:14.4pt"><span style="font-family:"Arial","sans-serif";mso-fareast-font-family:"Times New Roman";
color:black"> </span><span style="font-size:10.0pt;font-family:"Arial","sans-serif";
mso-fareast-font-family:"Times New Roman";color:black"><o:p></o:p></span></p>

<p class="MsoNormal" style="margin:0in;margin-bottom:.0001pt;line-height:14.4pt"><span style="font-family:"Arial","sans-serif";mso-fareast-font-family:"Times New Roman";
color:black">Is there any MATLAB regularization tools which can help given the
above structure and dynamics evident from SVD?</span><span style="font-size:
10.0pt;font-family:"Arial","sans-serif";mso-fareast-font-family:"Times New Roman";
color:black"><o:p></o:p></span></p>

<p class="MsoNormal" style="margin:0in;margin-bottom:.0001pt;line-height:14.4pt"><span style="font-family:"Arial","sans-serif";mso-fareast-font-family:"Times New Roman";
color:black"> </span><span style="font-size:10.0pt;font-family:"Arial","sans-serif";
mso-fareast-font-family:"Times New Roman";color:black"><o:p></o:p></span></p>

<p class="MsoNormal" style="margin:0in;margin-bottom:.0001pt;line-height:14.4pt"><span style="font-family:"Arial","sans-serif";mso-fareast-font-family:"Times New Roman";
color:black">Small values have undergone severe modification. Can such errors
be minimized? Last but not the least, is there anything wrong in the error
estimated above?<o:p></o:p></span></p>

<p class="MsoNormal" style="margin:0in;margin-bottom:.0001pt;line-height:14.4pt"><span style="font-family:"Arial","sans-serif";mso-fareast-font-family:"Times New Roman";
color:black"> </span><span style="font-size:10.0pt;font-family:"Arial","sans-serif";
mso-fareast-font-family:"Times New Roman";color:black"><o:p></o:p></span></p>

<p class="MsoNormal" style="margin:0in;margin-bottom:.0001pt;line-height:14.4pt"><span style="font-family:"Arial","sans-serif";mso-fareast-font-family:"Times New Roman";
color:black">hari </span><span style="font-size:10.0pt;font-family:"Arial","sans-serif";
mso-fareast-font-family:"Times New Roman";color:black"> <o:p></o:p></span></p>

<p class="MsoNormal"><o:p> </o:p></p><br><div><font color="#ff0000" size="3"><strong>Aum <font color="#000000">Namah</font> Sivaya</strong></font></div></td></tr></table><br>