<div dir="ltr"><div class="gmail_extra"><div class="gmail_quote">On Sun, Aug 12, 2018 at 4:01 AM, Dave Horsfall <span dir="ltr"><<a href="mailto:dave@horsfall.org" target="_blank">dave@horsfall.org</a>></span> wrote:<br><blockquote class="gmail_quote" style="margin:0px 0px 0px 0.8ex;border-left:1px solid rgb(204,204,204);padding-left:1ex">I know that I should know the answer to this, but for some reason my brain <br>
appears to be in neutral (call it early senility, as I turn 66 soon).<br>
<br>
I picked up a a pack of 12 dice from one of those discount stores for the <br>
princely sum of AU$2 (so we can safely assume that they are not exactly <br>
casino-quality[*], but at least the pattern of dots is correct).<br>
<br>
So, the obvious question is: how unpredictable (not "random") would their <br>
sum be, modulo N, given that each individual source is numbered 1-6? </blockquote><div><br>Ignoring the quality of the dice for now. </div><div><br></div><div>With twelve common dice the numbers will range from 6 to 72.</div><div>With 12 and 72 being quite rare.</div><div><br></div><div>The number 13 is has twelve  ways of happening  a single 2 and 11 ones.</div><div><br>The number 14 has ways with  a pair of 2s and 12 ways with a single 3.<br><br>There are a lot of ways the dice can roll. 6^12 but a short list of sum values (66)</div><div>so a value of 6 would be uncommon <br></div><div><br></div><div>.....<br>The value 33 would be very common compared to 6 or 72.<br><span style="font-size:small;background-color:rgb(255,255,255);text-decoration-style:initial;text-decoration-color:initial;float:none;display:inline">Now what is N?</span><br>Mod N of all the possible sum values is fixed.  The integer sum value can be safely scaled </div><div>so it 6=0 or 6 & 72 are equal distant +/- from zero or any value (pi?).  The extreme 6&72 <br>uncommon but the middle values near 33 very common and thus very predictable..<br><br>Two dice is easy... snake eyes 1 in 36  boxcars 1 in 36.  <br>Sums of 6,7,8 account for almost 45% if the rolls and 5,6,7,8,9 two thirds.<br><a href="https://wizardofodds.com/gambling/dice/">https://wizardofodds.com/gambling/dice/</a><br><br><br><a href="https://wizardofodds.com/gambling/dice/2/">https://wizardofodds.com/gambling/dice/2/</a>  <-- no table for 12 but set two aside and use the table for 10.</div><div><br></div><div><div class="gmail-box gmail-desk-50percent" style="margin:0px 0px 20px;padding:0px;border:1px solid rgb(204,204,204);font-variant-numeric:inherit;font-variant-east-asian:inherit;font-stretch:inherit;line-height:inherit;font-family:"Open Sans",Helvetica,Arial,sans-serif;vertical-align:baseline;overflow:hidden;width:408.102px;border-radius:5px;color:rgb(17,17,17);text-align:left;background-color:rgb(244,244,244);text-decoration-style:initial;text-decoration-color:initial"><h3 class="gmail-box-title" style="margin:0px;padding:9px 15px;border-width:0px 0px 1px;border-top-style:initial;border-right-style:initial;border-bottom-style:solid;border-left-style:initial;border-top-color:initial;border-right-color:initial;border-bottom-color:rgb(204,204,204);border-left-color:initial;font-style:inherit;font-variant:inherit;font-weight:600;font-stretch:inherit;font-size:18px;line-height:25px;font-family:inherit;vertical-align:baseline;color:rgb(51,51,51);background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial;background-color:initial;opacity:1">10 Dice</h3><div class="gmail-box-content" style="margin:0px;padding:7px 10px 1px;border:0px;font:inherit;vertical-align:baseline;color:rgb(51,51,51);background:rgb(250,250,250)"><table class="gmail-data" cellspacing="0" cellpadding="0" border="0" style="margin:0px;padding:0px;border:0px;font:inherit;vertical-align:baseline;border-collapse:collapse;width:388px;color:rgb(51,51,51);opacity:1;min-width:0px"><tbody style="margin:0px;padding:0px;border:0px;font:inherit;vertical-align:baseline"><tr style="margin:0px;padding:0px;border:0px;font:inherit;vertical-align:baseline"><th class="gmail-data-heading" style="margin:0px;padding:6px;border:0px;font-style:inherit;font-variant:inherit;font-weight:600;font-stretch:inherit;font-size:inherit;line-height:inherit;font-family:inherit;vertical-align:bottom;text-transform:uppercase;text-align:right">TOTAL</th><th class="gmail-data-heading" style="margin:0px;padding:6px;border:0px;font-style:inherit;font-variant:inherit;font-weight:600;font-stretch:inherit;font-size:inherit;line-height:inherit;font-family:inherit;vertical-align:bottom;text-transform:uppercase;text-align:right">COMBINATIONS</th><th class="gmail-data-heading" style="margin:0px;padding:6px;border:0px;font-style:inherit;font-variant:inherit;font-weight:600;font-stretch:inherit;font-size:inherit;line-height:inherit;font-family:inherit;vertical-align:bottom;text-transform:uppercase;text-align:right">PROBABILITY</th></tr><tr style="margin:0px;padding:0px;border:0px;font:inherit;vertical-align:baseline"><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">10</td><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">1</td><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">0.000000016538172</td></tr><tr style="margin:0px;padding:0px;border:0px;font:inherit;vertical-align:baseline"><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">11</td><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">10</td><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">0.000000165381717</td></tr><tr style="margin:0px;padding:0px;border:0px;font:inherit;vertical-align:baseline"><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">12</td><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">55</td><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">0.000000909599443</td></tr><tr style="margin:0px;padding:0px;border:0px;font:inherit;vertical-align:baseline"><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">13</td><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">220</td><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">0.000003638397771</td></tr><tr style="margin:0px;padding:0px;border:0px;font:inherit;vertical-align:baseline"><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">14</td><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">715</td><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">0.000011824792757</td></tr><tr style="margin:0px;padding:0px;border:0px;font:inherit;vertical-align:baseline"><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">15</td><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">2002</td><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">0.000033109419719</td></tr><tr style="margin:0px;padding:0px;border:0px;font:inherit;vertical-align:baseline"><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">16</td><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">4995</td><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">0.000082608167581</td></tr><tr style="margin:0px;padding:0px;border:0px;font:inherit;vertical-align:baseline"><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">17</td><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">11340</td><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">0.000187542866941</td></tr><tr style="margin:0px;padding:0px;border:0px;font:inherit;vertical-align:baseline"><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">18</td><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">23760</td><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">0.000392946959305</td></tr><tr style="margin:0px;padding:0px;border:0px;font:inherit;vertical-align:baseline"><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">19</td><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">46420</td><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">0.000767701929753</td></tr><tr style="margin:0px;padding:0px;border:0px;font:inherit;vertical-align:baseline"><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">20</td><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">85228</td><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">0.001409515296618</td></tr><tr style="margin:0px;padding:0px;border:0px;font:inherit;vertical-align:baseline"><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">21</td><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">147940</td><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">0.002446657119511</td></tr><tr style="margin:0px;padding:0px;border:0px;font:inherit;vertical-align:baseline"><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">22</td><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">243925</td><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">0.004034073528976</td></tr><tr style="margin:0px;padding:0px;border:0px;font:inherit;vertical-align:baseline"><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">23</td><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">383470</td><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">0.006341892697167</td></tr><tr style="margin:0px;padding:0px;border:0px;font:inherit;vertical-align:baseline"><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">24</td><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">576565</td><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">0.009535330959246</td></tr><tr style="margin:0px;padding:0px;border:0px;font:inherit;vertical-align:baseline"><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">25</td><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">831204</td><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">0.013746594459686</td></tr><tr style="margin:0px;padding:0px;border:0px;font:inherit;vertical-align:baseline"><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">26</td><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">1151370</td><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">0.019041554736321</td></tr><tr style="margin:0px;padding:0px;border:0px;font:inherit;vertical-align:baseline"><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">27</td><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">1535040</td><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">0.025386755067825</td></tr><tr style="margin:0px;padding:0px;border:0px;font:inherit;vertical-align:baseline"><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">28</td><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">1972630</td><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">0.032623693616742</td></tr><tr style="margin:0px;padding:0px;border:0px;font:inherit;vertical-align:baseline"><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">29</td><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">2446300</td><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">0.040457329400159</td></tr><tr style="margin:0px;padding:0px;border:0px;font:inherit;vertical-align:baseline"><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">30</td><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">2930455</td><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">0.048464367913724</td></tr><tr style="margin:0px;padding:0px;border:0px;font:inherit;vertical-align:baseline"><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">31</td><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">3393610</td><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">0.056124104821843</td></tr><tr style="margin:0px;padding:0px;border:0px;font:inherit;vertical-align:baseline"><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">32</td><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">3801535</td><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">0.062870438507638</td></tr><tr style="margin:0px;padding:0px;border:0px;font:inherit;vertical-align:baseline"><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">33</td><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">4121260</td><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">0.068158105450558</td></tr><tr style="margin:0px;padding:0px;border:0px;font:inherit;vertical-align:baseline"><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">34</td><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">4325310</td><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">0.071532719383478</td></tr><tr style="margin:0px;padding:0px;border:0px;font:inherit;vertical-align:baseline"><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">35</td><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">4395456</td><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">0.072692805974699</td></tr><tr style="margin:0px;padding:0px;border:0px;font:inherit;vertical-align:baseline"><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">36</td><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">4325310</td><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">0.071532719383478</td></tr><tr style="margin:0px;padding:0px;border:0px;font:inherit;vertical-align:baseline"><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">37</td><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">4121260</td><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">0.068158105450558</td></tr><tr style="margin:0px;padding:0px;border:0px;font:inherit;vertical-align:baseline"><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">38</td><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">3801535</td><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">0.062870438507638</td></tr><tr style="margin:0px;padding:0px;border:0px;font:inherit;vertical-align:baseline"><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">39</td><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">3393610</td><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">0.056124104821843</td></tr><tr style="margin:0px;padding:0px;border:0px;font:inherit;vertical-align:baseline"><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">40</td><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">2930455</td><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">0.048464367913724</td></tr><tr style="margin:0px;padding:0px;border:0px;font:inherit;vertical-align:baseline"><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">41</td><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">2446300</td><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">0.040457329400159</td></tr><tr style="margin:0px;padding:0px;border:0px;font:inherit;vertical-align:baseline"><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">42</td><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">1972630</td><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">0.032623693616742</td></tr><tr style="margin:0px;padding:0px;border:0px;font:inherit;vertical-align:baseline"><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">43</td><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">1535040</td><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">0.025386755067825</td></tr><tr style="margin:0px;padding:0px;border:0px;font:inherit;vertical-align:baseline"><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">44</td><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">1151370</td><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">0.019041554736321</td></tr><tr style="margin:0px;padding:0px;border:0px;font:inherit;vertical-align:baseline"><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">45</td><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">831204</td><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">0.013746594459686</td></tr><tr style="margin:0px;padding:0px;border:0px;font:inherit;vertical-align:baseline"><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">46</td><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">576565</td><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">0.009535330959246</td></tr><tr style="margin:0px;padding:0px;border:0px;font:inherit;vertical-align:baseline"><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">47</td><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">383470</td><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">0.006341892697167</td></tr><tr style="margin:0px;padding:0px;border:0px;font:inherit;vertical-align:baseline"><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">48</td><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">243925</td><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">0.004034073528976</td></tr><tr style="margin:0px;padding:0px;border:0px;font:inherit;vertical-align:baseline"><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">49</td><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">147940</td><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">0.002446657119511</td></tr><tr style="margin:0px;padding:0px;border:0px;font:inherit;vertical-align:baseline"><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">50</td><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">85228</td><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">0.001409515296618</td></tr><tr style="margin:0px;padding:0px;border:0px;font:inherit;vertical-align:baseline"><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">51</td><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">46420</td><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">0.000767701929753</td></tr><tr style="margin:0px;padding:0px;border:0px;font:inherit;vertical-align:baseline"><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">52</td><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">23760</td><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">0.000392946959305</td></tr><tr style="margin:0px;padding:0px;border:0px;font:inherit;vertical-align:baseline"><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">53</td><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">11340</td><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">0.000187542866941</td></tr><tr style="margin:0px;padding:0px;border:0px;font:inherit;vertical-align:baseline"><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">54</td><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">4995</td><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">0.000082608167581</td></tr><tr style="margin:0px;padding:0px;border:0px;font:inherit;vertical-align:baseline"><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">55</td><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">2002</td><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">0.000033109419719</td></tr><tr style="margin:0px;padding:0px;border:0px;font:inherit;vertical-align:baseline"><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">56</td><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">715</td><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">0.000011824792757</td></tr><tr style="margin:0px;padding:0px;border:0px;font:inherit;vertical-align:baseline"><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">57</td><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">220</td><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">0.000003638397771</td></tr><tr style="margin:0px;padding:0px;border:0px;font:inherit;vertical-align:baseline"><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">58</td><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">55</td><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">0.000000909599443</td></tr><tr style="margin:0px;padding:0px;border:0px;font:inherit;vertical-align:baseline"><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">59</td><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">10</td><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">0.000000165381717</td></tr><tr style="margin:0px;padding:0px;border:0px;font:inherit;vertical-align:baseline"><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">60</td><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">1</td><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">0.000000016538172</td></tr><tr style="margin:0px;padding:0px;border:0px;font:inherit;vertical-align:baseline"><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">Total</td><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">60466176</td><td style="margin:0px;padding:6px;border-width:1px 0px 0px;border-top-style:solid;border-right-style:initial;border-bottom-style:initial;border-left-style:initial;border-top-color:rgb(204,204,204);border-right-color:initial;border-bottom-color:initial;border-left-color:initial;font:inherit;vertical-align:top;text-align:right">1.000000000000000</td></tr></tbody></table></div></div><br class="gmail-Apple-interchange-newline"><br></div><div><br><br><br></div></div><br><br clear="all"><div><br></div>-- <br><div class="gmail_signature"><div dir="ltr">  T o m    M i t c h e l l</div></div>
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