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<!DOCTYPE html>
<html>
<head>
<meta charset="utf-8"/>
<title>Gaussian Quadrature Weights and Abscissae </title>
<style>
a { text-decoration: none; }
.anchors { font-size: 75%; margin: 0.5em; }
.tbl { margin-left: 2em; }
.tbl td { border: 1px solid grey; padding-left: 5px; padding-right: 5px;}
.tbl thead { font-weight: bold; text-align: center;}
.footer { font-size: 85%; margin-top: 1em;}
img { margin-left: 2em; }
</style>
<!-- referral tracking, see https://github.com/Pomax/bezierinfo/blob/gh-pages/referrer/logger.php -->
<script src="referrer.js"></script>
</head>
<body>
<h1>Gaussian Quadrature Weights and Abscissae</h1>
<p>This page is a tabulation of weights and abscissae for use in performing
<a href="http://mathworld.wolfram.com/Legendre-GaussQuadrature.html">Legendre-Gauss quadrature</a>
integral approximation, which tries to solve the following function</p>
<p><a href="http://mathworld.wolfram.com/Legendre-GaussQuadrature.html"><img src="images/gq.gif"/></a>
</p>
<p>by picking approximate values for <i>n</i>, <i>w<sub>i</sub></i> and <i>x<sub>i</sub></i>.
While only defined for the interval [-1,1], this is actually a universal function, because we can
convert the limits of integration for any interval [a,b] to the Legendre-Gauss interval [-1,1]:</p>
<p><a href="http://mathworld.wolfram.com/Legendre-GaussQuadrature.html"><img src="images/trans.gif"/></a></p>
<p>The summation function is called the Legendre-Gauss quadrature rule because the abscissae
<i>x<sub>i</sub></i> in the Gauss quadrature function for [-1,1] are defined as the roots of the
<a href="http://mathworld.wolfram.com/LegendrePolynomial.html">Legendre polynomial</a> for n:</p>
<p><a href="http://mathworld.wolfram.com/Legendre-GaussQuadrature.html"><img src="images/lp.gif"/></a></p>
<p>with the weights <i>w<sub>i</sub></i> coming from the following function:</p>
<p><a href="http://mathworld.wolfram.com/Legendre-GaussQuadrature.html"><img src="images/wi.gif"/></a></p>
<p>(The procedure is explained in more detail
<a href="http://mathworld.wolfram.com/Legendre-GaussQuadrature.html">here</a>, with a very accessible
video lecture on the theory behind the Gauss quadrature rule
<a href="http://www.youtube.com/watch?v=unWguclP-Ds&feature=BFa&list=PLC8FC40C714F5E60F&index=1">here</a>)</p>
<p>The tables provided here give the values for <i>x<sub>i</sub></i> and <i>w<sub>i</sub></i> for
n=2 through n=64, with an internal decimal precision of 256, limited to 16 decimals due to floating
point number limits in PHP. These tables were made using the numbers that are generated by the
following series of Mathematica instructions:</p>
<pre> symboliclegendre[n_, x_] := Solve[LegendreP[n, x] == 0];
legendreprime[n_, a_] := D[LegendreP[n, x], x] /. x -> a;
weights[n_, x_] := 2/((1 - x^2) legendreprime[n, x]^2);
(*how many terms should be generated*)
h = 64;
(* what numerical precision is desired? *)
precision = 256;
str = OpenWrite["lgvalues.txt"];
Write[str, "abcissae"];
Do[Write[str]; Write[str, n]; Write[str];
nlist = symboliclegendre[n, x];
xnlist = x /. nlist;
Do[Write[str, N[Part[xnlist, i], precision]], {i, Length[xnlist]}];, {n, 2, h}];
Write[str, "weights"];
Do[Write[str]; Write[str, n]; Write[str];
slist := symboliclegendre[n, x];
xslist = x /. slist;
Do[Write[str, N[weights[n, Part[xslist, i]], precision]], {i, Length[xslist]}];, {n, 2, h}];
Close[str];</pre>
<p>If you need higher precision than is presented on this web page you can either download the
abscissae and weights files below, or you can run this program in Mathematica yourself, with
higher precision and/or higher <i>h</i> values.</p>
<ul>
<li><a href="lgvalues-abscissa.php">abscissae</a> (607KB, easily converted to not-PHP)</li>
<li><a href="lgvalues-weights.php">weights</a> (615KB, easily converted to not-PHP)</li>
</ul>
<h2>Weights and Abscissae Tables for n=2 to n=64</h2>
<div id="n2">
<a name="n2"></a>
<table><tr><td nowrap="nowrap" style="padding-right: 3em;"><h2>n = 2</h2></td><td><div class='anchors'> jump to n = <a href='#n2'>2</a>, <a href='#n3'>3</a>, <a href='#n4'>4</a>, <a href='#n5'>5</a>, <a href='#n6'>6</a>, <a href='#n7'>7</a>, <a href='#n8'>8</a>, <a href='#n9'>9</a>, <a href='#n10'>10</a>, <a href='#n11'>11</a>, <a href='#n12'>12</a>, <a href='#n13'>13</a>, <a href='#n14'>14</a>, <a href='#n15'>15</a>, <a href='#n16'>16</a>, <a href='#n17'>17</a>, <a href='#n18'>18</a>, <a href='#n19'>19</a>, <a href='#n20'>20</a>, <a href='#n21'>21</a>, <a href='#n22'>22</a>, <a href='#n23'>23</a>, <a href='#n24'>24</a>, <a href='#n25'>25</a>, <a href='#n26'>26</a>, <a href='#n27'>27</a>, <a href='#n28'>28</a>, <a href='#n29'>29</a>, <a href='#n30'>30</a>, <a href='#n31'>31</a>, <a href='#n32'>32</a>, <a href='#n33'>33</a>, <a href='#n34'>34</a>, <a href='#n35'>35</a>, <a href='#n36'>36</a>, <a href='#n37'>37</a>, <a href='#n38'>38</a>, <a href='#n39'>39</a>, <a href='#n40'>40</a>, <a href='#n41'>41</a>, <a href='#n42'>42</a>, <a href='#n43'>43</a>, <a href='#n44'>44</a>, <a href='#n45'>45</a>, <a href='#n46'>46</a>, <a href='#n47'>47</a>, <a href='#n48'>48</a>, <a href='#n49'>49</a>, <a href='#n50'>50</a>, <a href='#n51'>51</a>, <a href='#n52'>52</a>, <a href='#n53'>53</a>, <a href='#n54'>54</a>, <a href='#n55'>55</a>, <a href='#n56'>56</a>, <a href='#n57'>57</a>, <a href='#n58'>58</a>, <a href='#n59'>59</a>, <a href='#n60'>60</a>, <a href='#n61'>61</a>, <a href='#n62'>62</a>, <a href='#n63'>63</a>, <a href='#n64'>64</a></div>
</td></tr></table>
<table class="tbl">
<thead><tr><td><i>i</i></td><td>weight - w<sub>i</sub></td><td>abscissa - <i>x</i><sub>i</sub></td></tr></thead>
<tbody>
<tr><td>1</td><td>1.0000000000000000</td><td>-0.5773502691896257</td></tr>
<tr><td>2</td><td>1.0000000000000000</td><td>0.5773502691896257</td></tr>
</tbody>
</table>
</div>
<div id="n3">
<a name="n3"></a>
<table><tr><td nowrap="nowrap" style="padding-right: 3em;"><h2>n = 3</h2></td><td><div class='anchors'> jump to n = <a href='#n2'>2</a>, <a href='#n3'>3</a>, <a href='#n4'>4</a>, <a href='#n5'>5</a>, <a href='#n6'>6</a>, <a href='#n7'>7</a>, <a href='#n8'>8</a>, <a href='#n9'>9</a>, <a href='#n10'>10</a>, <a href='#n11'>11</a>, <a href='#n12'>12</a>, <a href='#n13'>13</a>, <a href='#n14'>14</a>, <a href='#n15'>15</a>, <a href='#n16'>16</a>, <a href='#n17'>17</a>, <a href='#n18'>18</a>, <a href='#n19'>19</a>, <a href='#n20'>20</a>, <a href='#n21'>21</a>, <a href='#n22'>22</a>, <a href='#n23'>23</a>, <a href='#n24'>24</a>, <a href='#n25'>25</a>, <a href='#n26'>26</a>, <a href='#n27'>27</a>, <a href='#n28'>28</a>, <a href='#n29'>29</a>, <a href='#n30'>30</a>, <a href='#n31'>31</a>, <a href='#n32'>32</a>, <a href='#n33'>33</a>, <a href='#n34'>34</a>, <a href='#n35'>35</a>, <a href='#n36'>36</a>, <a href='#n37'>37</a>, <a href='#n38'>38</a>, <a href='#n39'>39</a>, <a href='#n40'>40</a>, <a href='#n41'>41</a>, <a href='#n42'>42</a>, <a href='#n43'>43</a>, <a href='#n44'>44</a>, <a href='#n45'>45</a>, <a href='#n46'>46</a>, <a href='#n47'>47</a>, <a href='#n48'>48</a>, <a href='#n49'>49</a>, <a href='#n50'>50</a>, <a href='#n51'>51</a>, <a href='#n52'>52</a>, <a href='#n53'>53</a>, <a href='#n54'>54</a>, <a href='#n55'>55</a>, <a href='#n56'>56</a>, <a href='#n57'>57</a>, <a href='#n58'>58</a>, <a href='#n59'>59</a>, <a href='#n60'>60</a>, <a href='#n61'>61</a>, <a href='#n62'>62</a>, <a href='#n63'>63</a>, <a href='#n64'>64</a></div>
</td></tr></table>
<table class="tbl">
<thead><tr><td><i>i</i></td><td>weight - w<sub>i</sub></td><td>abscissa - <i>x</i><sub>i</sub></td></tr></thead>
<tbody>
<tr><td>1</td><td>0.8888888888888888</td><td>0.0000000000000000</td></tr>
<tr><td>2</td><td>0.5555555555555556</td><td>-0.7745966692414834</td></tr>
<tr><td>3</td><td>0.5555555555555556</td><td>0.7745966692414834</td></tr>
</tbody>
</table>
</div>
<div id="n4">
<a name="n4"></a>
<table><tr><td nowrap="nowrap" style="padding-right: 3em;"><h2>n = 4</h2></td><td><div class='anchors'> jump to n = <a href='#n2'>2</a>, <a href='#n3'>3</a>, <a href='#n4'>4</a>, <a href='#n5'>5</a>, <a href='#n6'>6</a>, <a href='#n7'>7</a>, <a href='#n8'>8</a>, <a href='#n9'>9</a>, <a href='#n10'>10</a>, <a href='#n11'>11</a>, <a href='#n12'>12</a>, <a href='#n13'>13</a>, <a href='#n14'>14</a>, <a href='#n15'>15</a>, <a href='#n16'>16</a>, <a href='#n17'>17</a>, <a href='#n18'>18</a>, <a href='#n19'>19</a>, <a href='#n20'>20</a>, <a href='#n21'>21</a>, <a href='#n22'>22</a>, <a href='#n23'>23</a>, <a href='#n24'>24</a>, <a href='#n25'>25</a>, <a href='#n26'>26</a>, <a href='#n27'>27</a>, <a href='#n28'>28</a>, <a href='#n29'>29</a>, <a href='#n30'>30</a>, <a href='#n31'>31</a>, <a href='#n32'>32</a>, <a href='#n33'>33</a>, <a href='#n34'>34</a>, <a href='#n35'>35</a>, <a href='#n36'>36</a>, <a href='#n37'>37</a>, <a href='#n38'>38</a>, <a href='#n39'>39</a>, <a href='#n40'>40</a>, <a href='#n41'>41</a>, <a href='#n42'>42</a>, <a href='#n43'>43</a>, <a href='#n44'>44</a>, <a href='#n45'>45</a>, <a href='#n46'>46</a>, <a href='#n47'>47</a>, <a href='#n48'>48</a>, <a href='#n49'>49</a>, <a href='#n50'>50</a>, <a href='#n51'>51</a>, <a href='#n52'>52</a>, <a href='#n53'>53</a>, <a href='#n54'>54</a>, <a href='#n55'>55</a>, <a href='#n56'>56</a>, <a href='#n57'>57</a>, <a href='#n58'>58</a>, <a href='#n59'>59</a>, <a href='#n60'>60</a>, <a href='#n61'>61</a>, <a href='#n62'>62</a>, <a href='#n63'>63</a>, <a href='#n64'>64</a></div>
</td></tr></table>
<table class="tbl">
<thead><tr><td><i>i</i></td><td>weight - w<sub>i</sub></td><td>abscissa - <i>x</i><sub>i</sub></td></tr></thead>
<tbody>
<tr><td>1</td><td>0.6521451548625461</td><td>-0.3399810435848563</td></tr>
<tr><td>2</td><td>0.6521451548625461</td><td>0.3399810435848563</td></tr>
<tr><td>3</td><td>0.3478548451374538</td><td>-0.8611363115940526</td></tr>
<tr><td>4</td><td>0.3478548451374538</td><td>0.8611363115940526</td></tr>
</tbody>
</table>
</div>
<div id="n5">
<a name="n5"></a>
<table><tr><td nowrap="nowrap" style="padding-right: 3em;"><h2>n = 5</h2></td><td><div class='anchors'> jump to n = <a href='#n2'>2</a>, <a href='#n3'>3</a>, <a href='#n4'>4</a>, <a href='#n5'>5</a>, <a href='#n6'>6</a>, <a href='#n7'>7</a>, <a href='#n8'>8</a>, <a href='#n9'>9</a>, <a href='#n10'>10</a>, <a href='#n11'>11</a>, <a href='#n12'>12</a>, <a href='#n13'>13</a>, <a href='#n14'>14</a>, <a href='#n15'>15</a>, <a href='#n16'>16</a>, <a href='#n17'>17</a>, <a href='#n18'>18</a>, <a href='#n19'>19</a>, <a href='#n20'>20</a>, <a href='#n21'>21</a>, <a href='#n22'>22</a>, <a href='#n23'>23</a>, <a href='#n24'>24</a>, <a href='#n25'>25</a>, <a href='#n26'>26</a>, <a href='#n27'>27</a>, <a href='#n28'>28</a>, <a href='#n29'>29</a>, <a href='#n30'>30</a>, <a href='#n31'>31</a>, <a href='#n32'>32</a>, <a href='#n33'>33</a>, <a href='#n34'>34</a>, <a href='#n35'>35</a>, <a href='#n36'>36</a>, <a href='#n37'>37</a>, <a href='#n38'>38</a>, <a href='#n39'>39</a>, <a href='#n40'>40</a>, <a href='#n41'>41</a>, <a href='#n42'>42</a>, <a href='#n43'>43</a>, <a href='#n44'>44</a>, <a href='#n45'>45</a>, <a href='#n46'>46</a>, <a href='#n47'>47</a>, <a href='#n48'>48</a>, <a href='#n49'>49</a>, <a href='#n50'>50</a>, <a href='#n51'>51</a>, <a href='#n52'>52</a>, <a href='#n53'>53</a>, <a href='#n54'>54</a>, <a href='#n55'>55</a>, <a href='#n56'>56</a>, <a href='#n57'>57</a>, <a href='#n58'>58</a>, <a href='#n59'>59</a>, <a href='#n60'>60</a>, <a href='#n61'>61</a>, <a href='#n62'>62</a>, <a href='#n63'>63</a>, <a href='#n64'>64</a></div>
</td></tr></table>
<table class="tbl">
<thead><tr><td><i>i</i></td><td>weight - w<sub>i</sub></td><td>abscissa - <i>x</i><sub>i</sub></td></tr></thead>
<tbody>
<tr><td>1</td><td>0.5688888888888889</td><td>0.0000000000000000</td></tr>
<tr><td>2</td><td>0.4786286704993665</td><td>-0.5384693101056831</td></tr>
<tr><td>3</td><td>0.4786286704993665</td><td>0.5384693101056831</td></tr>
<tr><td>4</td><td>0.2369268850561891</td><td>-0.9061798459386640</td></tr>
<tr><td>5</td><td>0.2369268850561891</td><td>0.9061798459386640</td></tr>
</tbody>
</table>
</div>
<div id="n6">
<a name="n6"></a>
<table><tr><td nowrap="nowrap" style="padding-right: 3em;"><h2>n = 6</h2></td><td><div class='anchors'> jump to n = <a href='#n2'>2</a>, <a href='#n3'>3</a>, <a href='#n4'>4</a>, <a href='#n5'>5</a>, <a href='#n6'>6</a>, <a href='#n7'>7</a>, <a href='#n8'>8</a>, <a href='#n9'>9</a>, <a href='#n10'>10</a>, <a href='#n11'>11</a>, <a href='#n12'>12</a>, <a href='#n13'>13</a>, <a href='#n14'>14</a>, <a href='#n15'>15</a>, <a href='#n16'>16</a>, <a href='#n17'>17</a>, <a href='#n18'>18</a>, <a href='#n19'>19</a>, <a href='#n20'>20</a>, <a href='#n21'>21</a>, <a href='#n22'>22</a>, <a href='#n23'>23</a>, <a href='#n24'>24</a>, <a href='#n25'>25</a>, <a href='#n26'>26</a>, <a href='#n27'>27</a>, <a href='#n28'>28</a>, <a href='#n29'>29</a>, <a href='#n30'>30</a>, <a href='#n31'>31</a>, <a href='#n32'>32</a>, <a href='#n33'>33</a>, <a href='#n34'>34</a>, <a href='#n35'>35</a>, <a href='#n36'>36</a>, <a href='#n37'>37</a>, <a href='#n38'>38</a>, <a href='#n39'>39</a>, <a href='#n40'>40</a>, <a href='#n41'>41</a>, <a href='#n42'>42</a>, <a href='#n43'>43</a>, <a href='#n44'>44</a>, <a href='#n45'>45</a>, <a href='#n46'>46</a>, <a href='#n47'>47</a>, <a href='#n48'>48</a>, <a href='#n49'>49</a>, <a href='#n50'>50</a>, <a href='#n51'>51</a>, <a href='#n52'>52</a>, <a href='#n53'>53</a>, <a href='#n54'>54</a>, <a href='#n55'>55</a>, <a href='#n56'>56</a>, <a href='#n57'>57</a>, <a href='#n58'>58</a>, <a href='#n59'>59</a>, <a href='#n60'>60</a>, <a href='#n61'>61</a>, <a href='#n62'>62</a>, <a href='#n63'>63</a>, <a href='#n64'>64</a></div>
</td></tr></table>
<table class="tbl">
<thead><tr><td><i>i</i></td><td>weight - w<sub>i</sub></td><td>abscissa - <i>x</i><sub>i</sub></td></tr></thead>
<tbody>
<tr><td>1</td><td>0.3607615730481386</td><td>0.6612093864662645</td></tr>
<tr><td>2</td><td>0.3607615730481386</td><td>-0.6612093864662645</td></tr>
<tr><td>3</td><td>0.4679139345726910</td><td>-0.2386191860831969</td></tr>
<tr><td>4</td><td>0.4679139345726910</td><td>0.2386191860831969</td></tr>
<tr><td>5</td><td>0.1713244923791704</td><td>-0.9324695142031521</td></tr>
<tr><td>6</td><td>0.1713244923791704</td><td>0.9324695142031521</td></tr>
</tbody>
</table>
</div>
<div id="n7">
<a name="n7"></a>
<table><tr><td nowrap="nowrap" style="padding-right: 3em;"><h2>n = 7</h2></td><td><div class='anchors'> jump to n = <a href='#n2'>2</a>, <a href='#n3'>3</a>, <a href='#n4'>4</a>, <a href='#n5'>5</a>, <a href='#n6'>6</a>, <a href='#n7'>7</a>, <a href='#n8'>8</a>, <a href='#n9'>9</a>, <a href='#n10'>10</a>, <a href='#n11'>11</a>, <a href='#n12'>12</a>, <a href='#n13'>13</a>, <a href='#n14'>14</a>, <a href='#n15'>15</a>, <a href='#n16'>16</a>, <a href='#n17'>17</a>, <a href='#n18'>18</a>, <a href='#n19'>19</a>, <a href='#n20'>20</a>, <a href='#n21'>21</a>, <a href='#n22'>22</a>, <a href='#n23'>23</a>, <a href='#n24'>24</a>, <a href='#n25'>25</a>, <a href='#n26'>26</a>, <a href='#n27'>27</a>, <a href='#n28'>28</a>, <a href='#n29'>29</a>, <a href='#n30'>30</a>, <a href='#n31'>31</a>, <a href='#n32'>32</a>, <a href='#n33'>33</a>, <a href='#n34'>34</a>, <a href='#n35'>35</a>, <a href='#n36'>36</a>, <a href='#n37'>37</a>, <a href='#n38'>38</a>, <a href='#n39'>39</a>, <a href='#n40'>40</a>, <a href='#n41'>41</a>, <a href='#n42'>42</a>, <a href='#n43'>43</a>, <a href='#n44'>44</a>, <a href='#n45'>45</a>, <a href='#n46'>46</a>, <a href='#n47'>47</a>, <a href='#n48'>48</a>, <a href='#n49'>49</a>, <a href='#n50'>50</a>, <a href='#n51'>51</a>, <a href='#n52'>52</a>, <a href='#n53'>53</a>, <a href='#n54'>54</a>, <a href='#n55'>55</a>, <a href='#n56'>56</a>, <a href='#n57'>57</a>, <a href='#n58'>58</a>, <a href='#n59'>59</a>, <a href='#n60'>60</a>, <a href='#n61'>61</a>, <a href='#n62'>62</a>, <a href='#n63'>63</a>, <a href='#n64'>64</a></div>
</td></tr></table>
<table class="tbl">
<thead><tr><td><i>i</i></td><td>weight - w<sub>i</sub></td><td>abscissa - <i>x</i><sub>i</sub></td></tr></thead>
<tbody>
<tr><td>1</td><td>0.4179591836734694</td><td>0.0000000000000000</td></tr>
<tr><td>2</td><td>0.3818300505051189</td><td>0.4058451513773972</td></tr>
<tr><td>3</td><td>0.3818300505051189</td><td>-0.4058451513773972</td></tr>
<tr><td>4</td><td>0.2797053914892766</td><td>-0.7415311855993945</td></tr>
<tr><td>5</td><td>0.2797053914892766</td><td>0.7415311855993945</td></tr>
<tr><td>6</td><td>0.1294849661688697</td><td>-0.9491079123427585</td></tr>
<tr><td>7</td><td>0.1294849661688697</td><td>0.9491079123427585</td></tr>
</tbody>
</table>
</div>
<div id="n8">
<a name="n8"></a>
<table><tr><td nowrap="nowrap" style="padding-right: 3em;"><h2>n = 8</h2></td><td><div class='anchors'> jump to n = <a href='#n2'>2</a>, <a href='#n3'>3</a>, <a href='#n4'>4</a>, <a href='#n5'>5</a>, <a href='#n6'>6</a>, <a href='#n7'>7</a>, <a href='#n8'>8</a>, <a href='#n9'>9</a>, <a href='#n10'>10</a>, <a href='#n11'>11</a>, <a href='#n12'>12</a>, <a href='#n13'>13</a>, <a href='#n14'>14</a>, <a href='#n15'>15</a>, <a href='#n16'>16</a>, <a href='#n17'>17</a>, <a href='#n18'>18</a>, <a href='#n19'>19</a>, <a href='#n20'>20</a>, <a href='#n21'>21</a>, <a href='#n22'>22</a>, <a href='#n23'>23</a>, <a href='#n24'>24</a>, <a href='#n25'>25</a>, <a href='#n26'>26</a>, <a href='#n27'>27</a>, <a href='#n28'>28</a>, <a href='#n29'>29</a>, <a href='#n30'>30</a>, <a href='#n31'>31</a>, <a href='#n32'>32</a>, <a href='#n33'>33</a>, <a href='#n34'>34</a>, <a href='#n35'>35</a>, <a href='#n36'>36</a>, <a href='#n37'>37</a>, <a href='#n38'>38</a>, <a href='#n39'>39</a>, <a href='#n40'>40</a>, <a href='#n41'>41</a>, <a href='#n42'>42</a>, <a href='#n43'>43</a>, <a href='#n44'>44</a>, <a href='#n45'>45</a>, <a href='#n46'>46</a>, <a href='#n47'>47</a>, <a href='#n48'>48</a>, <a href='#n49'>49</a>, <a href='#n50'>50</a>, <a href='#n51'>51</a>, <a href='#n52'>52</a>, <a href='#n53'>53</a>, <a href='#n54'>54</a>, <a href='#n55'>55</a>, <a href='#n56'>56</a>, <a href='#n57'>57</a>, <a href='#n58'>58</a>, <a href='#n59'>59</a>, <a href='#n60'>60</a>, <a href='#n61'>61</a>, <a href='#n62'>62</a>, <a href='#n63'>63</a>, <a href='#n64'>64</a></div>
</td></tr></table>
<table class="tbl">
<thead><tr><td><i>i</i></td><td>weight - w<sub>i</sub></td><td>abscissa - <i>x</i><sub>i</sub></td></tr></thead>
<tbody>
<tr><td>1</td><td>0.3626837833783620</td><td>-0.1834346424956498</td></tr>
<tr><td>2</td><td>0.3626837833783620</td><td>0.1834346424956498</td></tr>
<tr><td>3</td><td>0.3137066458778873</td><td>-0.5255324099163290</td></tr>
<tr><td>4</td><td>0.3137066458778873</td><td>0.5255324099163290</td></tr>
<tr><td>5</td><td>0.2223810344533745</td><td>-0.7966664774136267</td></tr>
<tr><td>6</td><td>0.2223810344533745</td><td>0.7966664774136267</td></tr>
<tr><td>7</td><td>0.1012285362903763</td><td>-0.9602898564975363</td></tr>
<tr><td>8</td><td>0.1012285362903763</td><td>0.9602898564975363</td></tr>
</tbody>
</table>
</div>
<div id="n9">
<a name="n9"></a>
<table><tr><td nowrap="nowrap" style="padding-right: 3em;"><h2>n = 9</h2></td><td><div class='anchors'> jump to n = <a href='#n2'>2</a>, <a href='#n3'>3</a>, <a href='#n4'>4</a>, <a href='#n5'>5</a>, <a href='#n6'>6</a>, <a href='#n7'>7</a>, <a href='#n8'>8</a>, <a href='#n9'>9</a>, <a href='#n10'>10</a>, <a href='#n11'>11</a>, <a href='#n12'>12</a>, <a href='#n13'>13</a>, <a href='#n14'>14</a>, <a href='#n15'>15</a>, <a href='#n16'>16</a>, <a href='#n17'>17</a>, <a href='#n18'>18</a>, <a href='#n19'>19</a>, <a href='#n20'>20</a>, <a href='#n21'>21</a>, <a href='#n22'>22</a>, <a href='#n23'>23</a>, <a href='#n24'>24</a>, <a href='#n25'>25</a>, <a href='#n26'>26</a>, <a href='#n27'>27</a>, <a href='#n28'>28</a>, <a href='#n29'>29</a>, <a href='#n30'>30</a>, <a href='#n31'>31</a>, <a href='#n32'>32</a>, <a href='#n33'>33</a>, <a href='#n34'>34</a>, <a href='#n35'>35</a>, <a href='#n36'>36</a>, <a href='#n37'>37</a>, <a href='#n38'>38</a>, <a href='#n39'>39</a>, <a href='#n40'>40</a>, <a href='#n41'>41</a>, <a href='#n42'>42</a>, <a href='#n43'>43</a>, <a href='#n44'>44</a>, <a href='#n45'>45</a>, <a href='#n46'>46</a>, <a href='#n47'>47</a>, <a href='#n48'>48</a>, <a href='#n49'>49</a>, <a href='#n50'>50</a>, <a href='#n51'>51</a>, <a href='#n52'>52</a>, <a href='#n53'>53</a>, <a href='#n54'>54</a>, <a href='#n55'>55</a>, <a href='#n56'>56</a>, <a href='#n57'>57</a>, <a href='#n58'>58</a>, <a href='#n59'>59</a>, <a href='#n60'>60</a>, <a href='#n61'>61</a>, <a href='#n62'>62</a>, <a href='#n63'>63</a>, <a href='#n64'>64</a></div>
</td></tr></table>
<table class="tbl">
<thead><tr><td><i>i</i></td><td>weight - w<sub>i</sub></td><td>abscissa - <i>x</i><sub>i</sub></td></tr></thead>
<tbody>
<tr><td>1</td><td>0.3302393550012598</td><td>0.0000000000000000</td></tr>
<tr><td>2</td><td>0.1806481606948574</td><td>-0.8360311073266358</td></tr>
<tr><td>3</td><td>0.1806481606948574</td><td>0.8360311073266358</td></tr>
<tr><td>4</td><td>0.0812743883615744</td><td>-0.9681602395076261</td></tr>
<tr><td>5</td><td>0.0812743883615744</td><td>0.9681602395076261</td></tr>
<tr><td>6</td><td>0.3123470770400029</td><td>-0.3242534234038089</td></tr>
<tr><td>7</td><td>0.3123470770400029</td><td>0.3242534234038089</td></tr>
<tr><td>8</td><td>0.2606106964029354</td><td>-0.6133714327005904</td></tr>
<tr><td>9</td><td>0.2606106964029354</td><td>0.6133714327005904</td></tr>
</tbody>
</table>
</div>
<div id="n10">
<a name="n10"></a>
<table><tr><td nowrap="nowrap" style="padding-right: 3em;"><h2>n = 10</h2></td><td><div class='anchors'> jump to n = <a href='#n2'>2</a>, <a href='#n3'>3</a>, <a href='#n4'>4</a>, <a href='#n5'>5</a>, <a href='#n6'>6</a>, <a href='#n7'>7</a>, <a href='#n8'>8</a>, <a href='#n9'>9</a>, <a href='#n10'>10</a>, <a href='#n11'>11</a>, <a href='#n12'>12</a>, <a href='#n13'>13</a>, <a href='#n14'>14</a>, <a href='#n15'>15</a>, <a href='#n16'>16</a>, <a href='#n17'>17</a>, <a href='#n18'>18</a>, <a href='#n19'>19</a>, <a href='#n20'>20</a>, <a href='#n21'>21</a>, <a href='#n22'>22</a>, <a href='#n23'>23</a>, <a href='#n24'>24</a>, <a href='#n25'>25</a>, <a href='#n26'>26</a>, <a href='#n27'>27</a>, <a href='#n28'>28</a>, <a href='#n29'>29</a>, <a href='#n30'>30</a>, <a href='#n31'>31</a>, <a href='#n32'>32</a>, <a href='#n33'>33</a>, <a href='#n34'>34</a>, <a href='#n35'>35</a>, <a href='#n36'>36</a>, <a href='#n37'>37</a>, <a href='#n38'>38</a>, <a href='#n39'>39</a>, <a href='#n40'>40</a>, <a href='#n41'>41</a>, <a href='#n42'>42</a>, <a href='#n43'>43</a>, <a href='#n44'>44</a>, <a href='#n45'>45</a>, <a href='#n46'>46</a>, <a href='#n47'>47</a>, <a href='#n48'>48</a>, <a href='#n49'>49</a>, <a href='#n50'>50</a>, <a href='#n51'>51</a>, <a href='#n52'>52</a>, <a href='#n53'>53</a>, <a href='#n54'>54</a>, <a href='#n55'>55</a>, <a href='#n56'>56</a>, <a href='#n57'>57</a>, <a href='#n58'>58</a>, <a href='#n59'>59</a>, <a href='#n60'>60</a>, <a href='#n61'>61</a>, <a href='#n62'>62</a>, <a href='#n63'>63</a>, <a href='#n64'>64</a></div>
</td></tr></table>
<table class="tbl">
<thead><tr><td><i>i</i></td><td>weight - w<sub>i</sub></td><td>abscissa - <i>x</i><sub>i</sub></td></tr></thead>
<tbody>
<tr><td>1</td><td>0.2955242247147529</td><td>-0.1488743389816312</td></tr>
<tr><td>2</td><td>0.2955242247147529</td><td>0.1488743389816312</td></tr>
<tr><td>3</td><td>0.2692667193099963</td><td>-0.4333953941292472</td></tr>
<tr><td>4</td><td>0.2692667193099963</td><td>0.4333953941292472</td></tr>
<tr><td>5</td><td>0.2190863625159820</td><td>-0.6794095682990244</td></tr>
<tr><td>6</td><td>0.2190863625159820</td><td>0.6794095682990244</td></tr>
<tr><td>7</td><td>0.1494513491505806</td><td>-0.8650633666889845</td></tr>
<tr><td>8</td><td>0.1494513491505806</td><td>0.8650633666889845</td></tr>
<tr><td>9</td><td>0.0666713443086881</td><td>-0.9739065285171717</td></tr>
<tr><td>10</td><td>0.0666713443086881</td><td>0.9739065285171717</td></tr>
</tbody>
</table>
</div>
<div id="n11">
<a name="n11"></a>
<table><tr><td nowrap="nowrap" style="padding-right: 3em;"><h2>n = 11</h2></td><td><div class='anchors'> jump to n = <a href='#n2'>2</a>, <a href='#n3'>3</a>, <a href='#n4'>4</a>, <a href='#n5'>5</a>, <a href='#n6'>6</a>, <a href='#n7'>7</a>, <a href='#n8'>8</a>, <a href='#n9'>9</a>, <a href='#n10'>10</a>, <a href='#n11'>11</a>, <a href='#n12'>12</a>, <a href='#n13'>13</a>, <a href='#n14'>14</a>, <a href='#n15'>15</a>, <a href='#n16'>16</a>, <a href='#n17'>17</a>, <a href='#n18'>18</a>, <a href='#n19'>19</a>, <a href='#n20'>20</a>, <a href='#n21'>21</a>, <a href='#n22'>22</a>, <a href='#n23'>23</a>, <a href='#n24'>24</a>, <a href='#n25'>25</a>, <a href='#n26'>26</a>, <a href='#n27'>27</a>, <a href='#n28'>28</a>, <a href='#n29'>29</a>, <a href='#n30'>30</a>, <a href='#n31'>31</a>, <a href='#n32'>32</a>, <a href='#n33'>33</a>, <a href='#n34'>34</a>, <a href='#n35'>35</a>, <a href='#n36'>36</a>, <a href='#n37'>37</a>, <a href='#n38'>38</a>, <a href='#n39'>39</a>, <a href='#n40'>40</a>, <a href='#n41'>41</a>, <a href='#n42'>42</a>, <a href='#n43'>43</a>, <a href='#n44'>44</a>, <a href='#n45'>45</a>, <a href='#n46'>46</a>, <a href='#n47'>47</a>, <a href='#n48'>48</a>, <a href='#n49'>49</a>, <a href='#n50'>50</a>, <a href='#n51'>51</a>, <a href='#n52'>52</a>, <a href='#n53'>53</a>, <a href='#n54'>54</a>, <a href='#n55'>55</a>, <a href='#n56'>56</a>, <a href='#n57'>57</a>, <a href='#n58'>58</a>, <a href='#n59'>59</a>, <a href='#n60'>60</a>, <a href='#n61'>61</a>, <a href='#n62'>62</a>, <a href='#n63'>63</a>, <a href='#n64'>64</a></div>
</td></tr></table>
<table class="tbl">
<thead><tr><td><i>i</i></td><td>weight - w<sub>i</sub></td><td>abscissa - <i>x</i><sub>i</sub></td></tr></thead>
<tbody>
<tr><td>1</td><td>0.2729250867779006</td><td>0.0000000000000000</td></tr>
<tr><td>2</td><td>0.2628045445102467</td><td>-0.2695431559523450</td></tr>
<tr><td>3</td><td>0.2628045445102467</td><td>0.2695431559523450</td></tr>
<tr><td>4</td><td>0.2331937645919905</td><td>-0.5190961292068118</td></tr>
<tr><td>5</td><td>0.2331937645919905</td><td>0.5190961292068118</td></tr>
<tr><td>6</td><td>0.1862902109277343</td><td>-0.7301520055740494</td></tr>
<tr><td>7</td><td>0.1862902109277343</td><td>0.7301520055740494</td></tr>
<tr><td>8</td><td>0.1255803694649046</td><td>-0.8870625997680953</td></tr>
<tr><td>9</td><td>0.1255803694649046</td><td>0.8870625997680953</td></tr>
<tr><td>10</td><td>0.0556685671161737</td><td>-0.9782286581460570</td></tr>
<tr><td>11</td><td>0.0556685671161737</td><td>0.9782286581460570</td></tr>
</tbody>
</table>
</div>
<div id="n12">
<a name="n12"></a>
<table><tr><td nowrap="nowrap" style="padding-right: 3em;"><h2>n = 12</h2></td><td><div class='anchors'> jump to n = <a href='#n2'>2</a>, <a href='#n3'>3</a>, <a href='#n4'>4</a>, <a href='#n5'>5</a>, <a href='#n6'>6</a>, <a href='#n7'>7</a>, <a href='#n8'>8</a>, <a href='#n9'>9</a>, <a href='#n10'>10</a>, <a href='#n11'>11</a>, <a href='#n12'>12</a>, <a href='#n13'>13</a>, <a href='#n14'>14</a>, <a href='#n15'>15</a>, <a href='#n16'>16</a>, <a href='#n17'>17</a>, <a href='#n18'>18</a>, <a href='#n19'>19</a>, <a href='#n20'>20</a>, <a href='#n21'>21</a>, <a href='#n22'>22</a>, <a href='#n23'>23</a>, <a href='#n24'>24</a>, <a href='#n25'>25</a>, <a href='#n26'>26</a>, <a href='#n27'>27</a>, <a href='#n28'>28</a>, <a href='#n29'>29</a>, <a href='#n30'>30</a>, <a href='#n31'>31</a>, <a href='#n32'>32</a>, <a href='#n33'>33</a>, <a href='#n34'>34</a>, <a href='#n35'>35</a>, <a href='#n36'>36</a>, <a href='#n37'>37</a>, <a href='#n38'>38</a>, <a href='#n39'>39</a>, <a href='#n40'>40</a>, <a href='#n41'>41</a>, <a href='#n42'>42</a>, <a href='#n43'>43</a>, <a href='#n44'>44</a>, <a href='#n45'>45</a>, <a href='#n46'>46</a>, <a href='#n47'>47</a>, <a href='#n48'>48</a>, <a href='#n49'>49</a>, <a href='#n50'>50</a>, <a href='#n51'>51</a>, <a href='#n52'>52</a>, <a href='#n53'>53</a>, <a href='#n54'>54</a>, <a href='#n55'>55</a>, <a href='#n56'>56</a>, <a href='#n57'>57</a>, <a href='#n58'>58</a>, <a href='#n59'>59</a>, <a href='#n60'>60</a>, <a href='#n61'>61</a>, <a href='#n62'>62</a>, <a href='#n63'>63</a>, <a href='#n64'>64</a></div>
</td></tr></table>
<table class="tbl">
<thead><tr><td><i>i</i></td><td>weight - w<sub>i</sub></td><td>abscissa - <i>x</i><sub>i</sub></td></tr></thead>
<tbody>
<tr><td>1</td><td>0.2491470458134028</td><td>-0.1252334085114689</td></tr>
<tr><td>2</td><td>0.2491470458134028</td><td>0.1252334085114689</td></tr>
<tr><td>3</td><td>0.2334925365383548</td><td>-0.3678314989981802</td></tr>
<tr><td>4</td><td>0.2334925365383548</td><td>0.3678314989981802</td></tr>
<tr><td>5</td><td>0.2031674267230659</td><td>-0.5873179542866175</td></tr>
<tr><td>6</td><td>0.2031674267230659</td><td>0.5873179542866175</td></tr>
<tr><td>7</td><td>0.1600783285433462</td><td>-0.7699026741943047</td></tr>
<tr><td>8</td><td>0.1600783285433462</td><td>0.7699026741943047</td></tr>
<tr><td>9</td><td>0.1069393259953184</td><td>-0.9041172563704749</td></tr>
<tr><td>10</td><td>0.1069393259953184</td><td>0.9041172563704749</td></tr>
<tr><td>11</td><td>0.0471753363865118</td><td>-0.9815606342467192</td></tr>
<tr><td>12</td><td>0.0471753363865118</td><td>0.9815606342467192</td></tr>
</tbody>
</table>
</div>
<div id="n13">
<a name="n13"></a>
<table><tr><td nowrap="nowrap" style="padding-right: 3em;"><h2>n = 13</h2></td><td><div class='anchors'> jump to n = <a href='#n2'>2</a>, <a href='#n3'>3</a>, <a href='#n4'>4</a>, <a href='#n5'>5</a>, <a href='#n6'>6</a>, <a href='#n7'>7</a>, <a href='#n8'>8</a>, <a href='#n9'>9</a>, <a href='#n10'>10</a>, <a href='#n11'>11</a>, <a href='#n12'>12</a>, <a href='#n13'>13</a>, <a href='#n14'>14</a>, <a href='#n15'>15</a>, <a href='#n16'>16</a>, <a href='#n17'>17</a>, <a href='#n18'>18</a>, <a href='#n19'>19</a>, <a href='#n20'>20</a>, <a href='#n21'>21</a>, <a href='#n22'>22</a>, <a href='#n23'>23</a>, <a href='#n24'>24</a>, <a href='#n25'>25</a>, <a href='#n26'>26</a>, <a href='#n27'>27</a>, <a href='#n28'>28</a>, <a href='#n29'>29</a>, <a href='#n30'>30</a>, <a href='#n31'>31</a>, <a href='#n32'>32</a>, <a href='#n33'>33</a>, <a href='#n34'>34</a>, <a href='#n35'>35</a>, <a href='#n36'>36</a>, <a href='#n37'>37</a>, <a href='#n38'>38</a>, <a href='#n39'>39</a>, <a href='#n40'>40</a>, <a href='#n41'>41</a>, <a href='#n42'>42</a>, <a href='#n43'>43</a>, <a href='#n44'>44</a>, <a href='#n45'>45</a>, <a href='#n46'>46</a>, <a href='#n47'>47</a>, <a href='#n48'>48</a>, <a href='#n49'>49</a>, <a href='#n50'>50</a>, <a href='#n51'>51</a>, <a href='#n52'>52</a>, <a href='#n53'>53</a>, <a href='#n54'>54</a>, <a href='#n55'>55</a>, <a href='#n56'>56</a>, <a href='#n57'>57</a>, <a href='#n58'>58</a>, <a href='#n59'>59</a>, <a href='#n60'>60</a>, <a href='#n61'>61</a>, <a href='#n62'>62</a>, <a href='#n63'>63</a>, <a href='#n64'>64</a></div>
</td></tr></table>
<table class="tbl">
<thead><tr><td><i>i</i></td><td>weight - w<sub>i</sub></td><td>abscissa - <i>x</i><sub>i</sub></td></tr></thead>
<tbody>
<tr><td>1</td><td>0.2325515532308739</td><td>0.0000000000000000</td></tr>
<tr><td>2</td><td>0.2262831802628972</td><td>-0.2304583159551348</td></tr>
<tr><td>3</td><td>0.2262831802628972</td><td>0.2304583159551348</td></tr>
<tr><td>4</td><td>0.2078160475368885</td><td>-0.4484927510364469</td></tr>
<tr><td>5</td><td>0.2078160475368885</td><td>0.4484927510364469</td></tr>
<tr><td>6</td><td>0.1781459807619457</td><td>-0.6423493394403402</td></tr>
<tr><td>7</td><td>0.1781459807619457</td><td>0.6423493394403402</td></tr>
<tr><td>8</td><td>0.1388735102197872</td><td>-0.8015780907333099</td></tr>
<tr><td>9</td><td>0.1388735102197872</td><td>0.8015780907333099</td></tr>
<tr><td>10</td><td>0.0921214998377285</td><td>-0.9175983992229779</td></tr>
<tr><td>11</td><td>0.0921214998377285</td><td>0.9175983992229779</td></tr>
<tr><td>12</td><td>0.0404840047653159</td><td>-0.9841830547185881</td></tr>
<tr><td>13</td><td>0.0404840047653159</td><td>0.9841830547185881</td></tr>
</tbody>
</table>
</div>
<div id="n14">
<a name="n14"></a>
<table><tr><td nowrap="nowrap" style="padding-right: 3em;"><h2>n = 14</h2></td><td><div class='anchors'> jump to n = <a href='#n2'>2</a>, <a href='#n3'>3</a>, <a href='#n4'>4</a>, <a href='#n5'>5</a>, <a href='#n6'>6</a>, <a href='#n7'>7</a>, <a href='#n8'>8</a>, <a href='#n9'>9</a>, <a href='#n10'>10</a>, <a href='#n11'>11</a>, <a href='#n12'>12</a>, <a href='#n13'>13</a>, <a href='#n14'>14</a>, <a href='#n15'>15</a>, <a href='#n16'>16</a>, <a href='#n17'>17</a>, <a href='#n18'>18</a>, <a href='#n19'>19</a>, <a href='#n20'>20</a>, <a href='#n21'>21</a>, <a href='#n22'>22</a>, <a href='#n23'>23</a>, <a href='#n24'>24</a>, <a href='#n25'>25</a>, <a href='#n26'>26</a>, <a href='#n27'>27</a>, <a href='#n28'>28</a>, <a href='#n29'>29</a>, <a href='#n30'>30</a>, <a href='#n31'>31</a>, <a href='#n32'>32</a>, <a href='#n33'>33</a>, <a href='#n34'>34</a>, <a href='#n35'>35</a>, <a href='#n36'>36</a>, <a href='#n37'>37</a>, <a href='#n38'>38</a>, <a href='#n39'>39</a>, <a href='#n40'>40</a>, <a href='#n41'>41</a>, <a href='#n42'>42</a>, <a href='#n43'>43</a>, <a href='#n44'>44</a>, <a href='#n45'>45</a>, <a href='#n46'>46</a>, <a href='#n47'>47</a>, <a href='#n48'>48</a>, <a href='#n49'>49</a>, <a href='#n50'>50</a>, <a href='#n51'>51</a>, <a href='#n52'>52</a>, <a href='#n53'>53</a>, <a href='#n54'>54</a>, <a href='#n55'>55</a>, <a href='#n56'>56</a>, <a href='#n57'>57</a>, <a href='#n58'>58</a>, <a href='#n59'>59</a>, <a href='#n60'>60</a>, <a href='#n61'>61</a>, <a href='#n62'>62</a>, <a href='#n63'>63</a>, <a href='#n64'>64</a></div>
</td></tr></table>
<table class="tbl">
<thead><tr><td><i>i</i></td><td>weight - w<sub>i</sub></td><td>abscissa - <i>x</i><sub>i</sub></td></tr></thead>
<tbody>
<tr><td>1</td><td>0.2152638534631578</td><td>-0.1080549487073437</td></tr>
<tr><td>2</td><td>0.2152638534631578</td><td>0.1080549487073437</td></tr>
<tr><td>3</td><td>0.2051984637212956</td><td>-0.3191123689278897</td></tr>
<tr><td>4</td><td>0.2051984637212956</td><td>0.3191123689278897</td></tr>
<tr><td>5</td><td>0.1855383974779378</td><td>-0.5152486363581541</td></tr>
<tr><td>6</td><td>0.1855383974779378</td><td>0.5152486363581541</td></tr>
<tr><td>7</td><td>0.1572031671581935</td><td>-0.6872929048116855</td></tr>
<tr><td>8</td><td>0.1572031671581935</td><td>0.6872929048116855</td></tr>
<tr><td>9</td><td>0.1215185706879032</td><td>-0.8272013150697650</td></tr>
<tr><td>10</td><td>0.1215185706879032</td><td>0.8272013150697650</td></tr>
<tr><td>11</td><td>0.0801580871597602</td><td>-0.9284348836635735</td></tr>
<tr><td>12</td><td>0.0801580871597602</td><td>0.9284348836635735</td></tr>
<tr><td>13</td><td>0.0351194603317519</td><td>-0.9862838086968123</td></tr>
<tr><td>14</td><td>0.0351194603317519</td><td>0.9862838086968123</td></tr>
</tbody>
</table>
</div>
<div id="n15">
<a name="n15"></a>
<table><tr><td nowrap="nowrap" style="padding-right: 3em;"><h2>n = 15</h2></td><td><div class='anchors'> jump to n = <a href='#n2'>2</a>, <a href='#n3'>3</a>, <a href='#n4'>4</a>, <a href='#n5'>5</a>, <a href='#n6'>6</a>, <a href='#n7'>7</a>, <a href='#n8'>8</a>, <a href='#n9'>9</a>, <a href='#n10'>10</a>, <a href='#n11'>11</a>, <a href='#n12'>12</a>, <a href='#n13'>13</a>, <a href='#n14'>14</a>, <a href='#n15'>15</a>, <a href='#n16'>16</a>, <a href='#n17'>17</a>, <a href='#n18'>18</a>, <a href='#n19'>19</a>, <a href='#n20'>20</a>, <a href='#n21'>21</a>, <a href='#n22'>22</a>, <a href='#n23'>23</a>, <a href='#n24'>24</a>, <a href='#n25'>25</a>, <a href='#n26'>26</a>, <a href='#n27'>27</a>, <a href='#n28'>28</a>, <a href='#n29'>29</a>, <a href='#n30'>30</a>, <a href='#n31'>31</a>, <a href='#n32'>32</a>, <a href='#n33'>33</a>, <a href='#n34'>34</a>, <a href='#n35'>35</a>, <a href='#n36'>36</a>, <a href='#n37'>37</a>, <a href='#n38'>38</a>, <a href='#n39'>39</a>, <a href='#n40'>40</a>, <a href='#n41'>41</a>, <a href='#n42'>42</a>, <a href='#n43'>43</a>, <a href='#n44'>44</a>, <a href='#n45'>45</a>, <a href='#n46'>46</a>, <a href='#n47'>47</a>, <a href='#n48'>48</a>, <a href='#n49'>49</a>, <a href='#n50'>50</a>, <a href='#n51'>51</a>, <a href='#n52'>52</a>, <a href='#n53'>53</a>, <a href='#n54'>54</a>, <a href='#n55'>55</a>, <a href='#n56'>56</a>, <a href='#n57'>57</a>, <a href='#n58'>58</a>, <a href='#n59'>59</a>, <a href='#n60'>60</a>, <a href='#n61'>61</a>, <a href='#n62'>62</a>, <a href='#n63'>63</a>, <a href='#n64'>64</a></div>
</td></tr></table>
<table class="tbl">
<thead><tr><td><i>i</i></td><td>weight - w<sub>i</sub></td><td>abscissa - <i>x</i><sub>i</sub></td></tr></thead>
<tbody>
<tr><td>1</td><td>0.2025782419255613</td><td>0.0000000000000000</td></tr>
<tr><td>2</td><td>0.1984314853271116</td><td>-0.2011940939974345</td></tr>
<tr><td>3</td><td>0.1984314853271116</td><td>0.2011940939974345</td></tr>
<tr><td>4</td><td>0.1861610000155622</td><td>-0.3941513470775634</td></tr>
<tr><td>5</td><td>0.1861610000155622</td><td>0.3941513470775634</td></tr>
<tr><td>6</td><td>0.1662692058169939</td><td>-0.5709721726085388</td></tr>
<tr><td>7</td><td>0.1662692058169939</td><td>0.5709721726085388</td></tr>
<tr><td>8</td><td>0.1395706779261543</td><td>-0.7244177313601701</td></tr>
<tr><td>9</td><td>0.1395706779261543</td><td>0.7244177313601701</td></tr>
<tr><td>10</td><td>0.1071592204671719</td><td>-0.8482065834104272</td></tr>
<tr><td>11</td><td>0.1071592204671719</td><td>0.8482065834104272</td></tr>
<tr><td>12</td><td>0.0703660474881081</td><td>-0.9372733924007060</td></tr>
<tr><td>13</td><td>0.0703660474881081</td><td>0.9372733924007060</td></tr>
<tr><td>14</td><td>0.0307532419961173</td><td>-0.9879925180204854</td></tr>
<tr><td>15</td><td>0.0307532419961173</td><td>0.9879925180204854</td></tr>
</tbody>
</table>
</div>
<div id="n16">
<a name="n16"></a>
<table><tr><td nowrap="nowrap" style="padding-right: 3em;"><h2>n = 16</h2></td><td><div class='anchors'> jump to n = <a href='#n2'>2</a>, <a href='#n3'>3</a>, <a href='#n4'>4</a>, <a href='#n5'>5</a>, <a href='#n6'>6</a>, <a href='#n7'>7</a>, <a href='#n8'>8</a>, <a href='#n9'>9</a>, <a href='#n10'>10</a>, <a href='#n11'>11</a>, <a href='#n12'>12</a>, <a href='#n13'>13</a>, <a href='#n14'>14</a>, <a href='#n15'>15</a>, <a href='#n16'>16</a>, <a href='#n17'>17</a>, <a href='#n18'>18</a>, <a href='#n19'>19</a>, <a href='#n20'>20</a>, <a href='#n21'>21</a>, <a href='#n22'>22</a>, <a href='#n23'>23</a>, <a href='#n24'>24</a>, <a href='#n25'>25</a>, <a href='#n26'>26</a>, <a href='#n27'>27</a>, <a href='#n28'>28</a>, <a href='#n29'>29</a>, <a href='#n30'>30</a>, <a href='#n31'>31</a>, <a href='#n32'>32</a>, <a href='#n33'>33</a>, <a href='#n34'>34</a>, <a href='#n35'>35</a>, <a href='#n36'>36</a>, <a href='#n37'>37</a>, <a href='#n38'>38</a>, <a href='#n39'>39</a>, <a href='#n40'>40</a>, <a href='#n41'>41</a>, <a href='#n42'>42</a>, <a href='#n43'>43</a>, <a href='#n44'>44</a>, <a href='#n45'>45</a>, <a href='#n46'>46</a>, <a href='#n47'>47</a>, <a href='#n48'>48</a>, <a href='#n49'>49</a>, <a href='#n50'>50</a>, <a href='#n51'>51</a>, <a href='#n52'>52</a>, <a href='#n53'>53</a>, <a href='#n54'>54</a>, <a href='#n55'>55</a>, <a href='#n56'>56</a>, <a href='#n57'>57</a>, <a href='#n58'>58</a>, <a href='#n59'>59</a>, <a href='#n60'>60</a>, <a href='#n61'>61</a>, <a href='#n62'>62</a>, <a href='#n63'>63</a>, <a href='#n64'>64</a></div>
</td></tr></table>
<table class="tbl">
<thead><tr><td><i>i</i></td><td>weight - w<sub>i</sub></td><td>abscissa - <i>x</i><sub>i</sub></td></tr></thead>
<tbody>
<tr><td>1</td><td>0.1894506104550685</td><td>-0.0950125098376374</td></tr>
<tr><td>2</td><td>0.1894506104550685</td><td>0.0950125098376374</td></tr>
<tr><td>3</td><td>0.1826034150449236</td><td>-0.2816035507792589</td></tr>
<tr><td>4</td><td>0.1826034150449236</td><td>0.2816035507792589</td></tr>
<tr><td>5</td><td>0.1691565193950025</td><td>-0.4580167776572274</td></tr>
<tr><td>6</td><td>0.1691565193950025</td><td>0.4580167776572274</td></tr>
<tr><td>7</td><td>0.1495959888165767</td><td>-0.6178762444026438</td></tr>
<tr><td>8</td><td>0.1495959888165767</td><td>0.6178762444026438</td></tr>
<tr><td>9</td><td>0.1246289712555339</td><td>-0.7554044083550030</td></tr>
<tr><td>10</td><td>0.1246289712555339</td><td>0.7554044083550030</td></tr>
<tr><td>11</td><td>0.0951585116824928</td><td>-0.8656312023878318</td></tr>
<tr><td>12</td><td>0.0951585116824928</td><td>0.8656312023878318</td></tr>
<tr><td>13</td><td>0.0622535239386479</td><td>-0.9445750230732326</td></tr>
<tr><td>14</td><td>0.0622535239386479</td><td>0.9445750230732326</td></tr>
<tr><td>15</td><td>0.0271524594117541</td><td>-0.9894009349916499</td></tr>
<tr><td>16</td><td>0.0271524594117541</td><td>0.9894009349916499</td></tr>
</tbody>
</table>
</div>
<div id="n17">
<a name="n17"></a>
<table><tr><td nowrap="nowrap" style="padding-right: 3em;"><h2>n = 17</h2></td><td><div class='anchors'> jump to n = <a href='#n2'>2</a>, <a href='#n3'>3</a>, <a href='#n4'>4</a>, <a href='#n5'>5</a>, <a href='#n6'>6</a>, <a href='#n7'>7</a>, <a href='#n8'>8</a>, <a href='#n9'>9</a>, <a href='#n10'>10</a>, <a href='#n11'>11</a>, <a href='#n12'>12</a>, <a href='#n13'>13</a>, <a href='#n14'>14</a>, <a href='#n15'>15</a>, <a href='#n16'>16</a>, <a href='#n17'>17</a>, <a href='#n18'>18</a>, <a href='#n19'>19</a>, <a href='#n20'>20</a>, <a href='#n21'>21</a>, <a href='#n22'>22</a>, <a href='#n23'>23</a>, <a href='#n24'>24</a>, <a href='#n25'>25</a>, <a href='#n26'>26</a>, <a href='#n27'>27</a>, <a href='#n28'>28</a>, <a href='#n29'>29</a>, <a href='#n30'>30</a>, <a href='#n31'>31</a>, <a href='#n32'>32</a>, <a href='#n33'>33</a>, <a href='#n34'>34</a>, <a href='#n35'>35</a>, <a href='#n36'>36</a>, <a href='#n37'>37</a>, <a href='#n38'>38</a>, <a href='#n39'>39</a>, <a href='#n40'>40</a>, <a href='#n41'>41</a>, <a href='#n42'>42</a>, <a href='#n43'>43</a>, <a href='#n44'>44</a>, <a href='#n45'>45</a>, <a href='#n46'>46</a>, <a href='#n47'>47</a>, <a href='#n48'>48</a>, <a href='#n49'>49</a>, <a href='#n50'>50</a>, <a href='#n51'>51</a>, <a href='#n52'>52</a>, <a href='#n53'>53</a>, <a href='#n54'>54</a>, <a href='#n55'>55</a>, <a href='#n56'>56</a>, <a href='#n57'>57</a>, <a href='#n58'>58</a>, <a href='#n59'>59</a>, <a href='#n60'>60</a>, <a href='#n61'>61</a>, <a href='#n62'>62</a>, <a href='#n63'>63</a>, <a href='#n64'>64</a></div>
</td></tr></table>
<table class="tbl">
<thead><tr><td><i>i</i></td><td>weight - w<sub>i</sub></td><td>abscissa - <i>x</i><sub>i</sub></td></tr></thead>
<tbody>
<tr><td>1</td><td>0.1794464703562065</td><td>0.0000000000000000</td></tr>
<tr><td>2</td><td>0.1765627053669926</td><td>-0.1784841814958479</td></tr>
<tr><td>3</td><td>0.1765627053669926</td><td>0.1784841814958479</td></tr>
<tr><td>4</td><td>0.1680041021564500</td><td>-0.3512317634538763</td></tr>
<tr><td>5</td><td>0.1680041021564500</td><td>0.3512317634538763</td></tr>
<tr><td>6</td><td>0.1540457610768103</td><td>-0.5126905370864769</td></tr>
<tr><td>7</td><td>0.1540457610768103</td><td>0.5126905370864769</td></tr>
<tr><td>8</td><td>0.1351363684685255</td><td>-0.6576711592166907</td></tr>
<tr><td>9</td><td>0.1351363684685255</td><td>0.6576711592166907</td></tr>
<tr><td>10</td><td>0.1118838471934040</td><td>-0.7815140038968014</td></tr>
<tr><td>11</td><td>0.1118838471934040</td><td>0.7815140038968014</td></tr>
<tr><td>12</td><td>0.0850361483171792</td><td>-0.8802391537269859</td></tr>
<tr><td>13</td><td>0.0850361483171792</td><td>0.8802391537269859</td></tr>
<tr><td>14</td><td>0.0554595293739872</td><td>-0.9506755217687678</td></tr>
<tr><td>15</td><td>0.0554595293739872</td><td>0.9506755217687678</td></tr>
<tr><td>16</td><td>0.0241483028685479</td><td>-0.9905754753144174</td></tr>
<tr><td>17</td><td>0.0241483028685479</td><td>0.9905754753144174</td></tr>
</tbody>
</table>
</div>
<div id="n18">
<a name="n18"></a>
<table><tr><td nowrap="nowrap" style="padding-right: 3em;"><h2>n = 18</h2></td><td><div class='anchors'> jump to n = <a href='#n2'>2</a>, <a href='#n3'>3</a>, <a href='#n4'>4</a>, <a href='#n5'>5</a>, <a href='#n6'>6</a>, <a href='#n7'>7</a>, <a href='#n8'>8</a>, <a href='#n9'>9</a>, <a href='#n10'>10</a>, <a href='#n11'>11</a>, <a href='#n12'>12</a>, <a href='#n13'>13</a>, <a href='#n14'>14</a>, <a href='#n15'>15</a>, <a href='#n16'>16</a>, <a href='#n17'>17</a>, <a href='#n18'>18</a>, <a href='#n19'>19</a>, <a href='#n20'>20</a>, <a href='#n21'>21</a>, <a href='#n22'>22</a>, <a href='#n23'>23</a>, <a href='#n24'>24</a>, <a href='#n25'>25</a>, <a href='#n26'>26</a>, <a href='#n27'>27</a>, <a href='#n28'>28</a>, <a href='#n29'>29</a>, <a href='#n30'>30</a>, <a href='#n31'>31</a>, <a href='#n32'>32</a>, <a href='#n33'>33</a>, <a href='#n34'>34</a>, <a href='#n35'>35</a>, <a href='#n36'>36</a>, <a href='#n37'>37</a>, <a href='#n38'>38</a>, <a href='#n39'>39</a>, <a href='#n40'>40</a>, <a href='#n41'>41</a>, <a href='#n42'>42</a>, <a href='#n43'>43</a>, <a href='#n44'>44</a>, <a href='#n45'>45</a>, <a href='#n46'>46</a>, <a href='#n47'>47</a>, <a href='#n48'>48</a>, <a href='#n49'>49</a>, <a href='#n50'>50</a>, <a href='#n51'>51</a>, <a href='#n52'>52</a>, <a href='#n53'>53</a>, <a href='#n54'>54</a>, <a href='#n55'>55</a>, <a href='#n56'>56</a>, <a href='#n57'>57</a>, <a href='#n58'>58</a>, <a href='#n59'>59</a>, <a href='#n60'>60</a>, <a href='#n61'>61</a>, <a href='#n62'>62</a>, <a href='#n63'>63</a>, <a href='#n64'>64</a></div>
</td></tr></table>
<table class="tbl">
<thead><tr><td><i>i</i></td><td>weight - w<sub>i</sub></td><td>abscissa - <i>x</i><sub>i</sub></td></tr></thead>
<tbody>
<tr><td>1</td><td>0.1691423829631436</td><td>-0.0847750130417353</td></tr>
<tr><td>2</td><td>0.1691423829631436</td><td>0.0847750130417353</td></tr>
<tr><td>3</td><td>0.1642764837458327</td><td>-0.2518862256915055</td></tr>
<tr><td>4</td><td>0.1642764837458327</td><td>0.2518862256915055</td></tr>
<tr><td>5</td><td>0.1546846751262652</td><td>-0.4117511614628426</td></tr>
<tr><td>6</td><td>0.1546846751262652</td><td>0.4117511614628426</td></tr>
<tr><td>7</td><td>0.1406429146706507</td><td>-0.5597708310739475</td></tr>
<tr><td>8</td><td>0.1406429146706507</td><td>0.5597708310739475</td></tr>
<tr><td>9</td><td>0.1225552067114785</td><td>-0.6916870430603532</td></tr>
<tr><td>10</td><td>0.1225552067114785</td><td>0.6916870430603532</td></tr>
<tr><td>11</td><td>0.1009420441062872</td><td>-0.8037049589725231</td></tr>
<tr><td>12</td><td>0.1009420441062872</td><td>0.8037049589725231</td></tr>
<tr><td>13</td><td>0.0764257302548891</td><td>-0.8926024664975557</td></tr>
<tr><td>14</td><td>0.0764257302548891</td><td>0.8926024664975557</td></tr>
<tr><td>15</td><td>0.0497145488949698</td><td>-0.9558239495713977</td></tr>
<tr><td>16</td><td>0.0497145488949698</td><td>0.9558239495713977</td></tr>
<tr><td>17</td><td>0.0216160135264833</td><td>-0.9915651684209309</td></tr>
<tr><td>18</td><td>0.0216160135264833</td><td>0.9915651684209309</td></tr>
</tbody>
</table>
</div>
<div id="n19">
<a name="n19"></a>
<table><tr><td nowrap="nowrap" style="padding-right: 3em;"><h2>n = 19</h2></td><td><div class='anchors'> jump to n = <a href='#n2'>2</a>, <a href='#n3'>3</a>, <a href='#n4'>4</a>, <a href='#n5'>5</a>, <a href='#n6'>6</a>, <a href='#n7'>7</a>, <a href='#n8'>8</a>, <a href='#n9'>9</a>, <a href='#n10'>10</a>, <a href='#n11'>11</a>, <a href='#n12'>12</a>, <a href='#n13'>13</a>, <a href='#n14'>14</a>, <a href='#n15'>15</a>, <a href='#n16'>16</a>, <a href='#n17'>17</a>, <a href='#n18'>18</a>, <a href='#n19'>19</a>, <a href='#n20'>20</a>, <a href='#n21'>21</a>, <a href='#n22'>22</a>, <a href='#n23'>23</a>, <a href='#n24'>24</a>, <a href='#n25'>25</a>, <a href='#n26'>26</a>, <a href='#n27'>27</a>, <a href='#n28'>28</a>, <a href='#n29'>29</a>, <a href='#n30'>30</a>, <a href='#n31'>31</a>, <a href='#n32'>32</a>, <a href='#n33'>33</a>, <a href='#n34'>34</a>, <a href='#n35'>35</a>, <a href='#n36'>36</a>, <a href='#n37'>37</a>, <a href='#n38'>38</a>, <a href='#n39'>39</a>, <a href='#n40'>40</a>, <a href='#n41'>41</a>, <a href='#n42'>42</a>, <a href='#n43'>43</a>, <a href='#n44'>44</a>, <a href='#n45'>45</a>, <a href='#n46'>46</a>, <a href='#n47'>47</a>, <a href='#n48'>48</a>, <a href='#n49'>49</a>, <a href='#n50'>50</a>, <a href='#n51'>51</a>, <a href='#n52'>52</a>, <a href='#n53'>53</a>, <a href='#n54'>54</a>, <a href='#n55'>55</a>, <a href='#n56'>56</a>, <a href='#n57'>57</a>, <a href='#n58'>58</a>, <a href='#n59'>59</a>, <a href='#n60'>60</a>, <a href='#n61'>61</a>, <a href='#n62'>62</a>, <a href='#n63'>63</a>, <a href='#n64'>64</a></div>
</td></tr></table>
<table class="tbl">
<thead><tr><td><i>i</i></td><td>weight - w<sub>i</sub></td><td>abscissa - <i>x</i><sub>i</sub></td></tr></thead>
<tbody>
<tr><td>1</td><td>0.1610544498487837</td><td>0.0000000000000000</td></tr>
<tr><td>2</td><td>0.1589688433939543</td><td>-0.1603586456402254</td></tr>
<tr><td>3</td><td>0.1589688433939543</td><td>0.1603586456402254</td></tr>
<tr><td>4</td><td>0.1527660420658597</td><td>-0.3165640999636298</td></tr>
<tr><td>5</td><td>0.1527660420658597</td><td>0.3165640999636298</td></tr>
<tr><td>6</td><td>0.1426067021736066</td><td>-0.4645707413759609</td></tr>
<tr><td>7</td><td>0.1426067021736066</td><td>0.4645707413759609</td></tr>
<tr><td>8</td><td>0.1287539625393362</td><td>-0.6005453046616810</td></tr>
<tr><td>9</td><td>0.1287539625393362</td><td>0.6005453046616810</td></tr>
<tr><td>10</td><td>0.1115666455473340</td><td>-0.7209661773352294</td></tr>
<tr><td>11</td><td>0.1115666455473340</td><td>0.7209661773352294</td></tr>
<tr><td>12</td><td>0.0914900216224500</td><td>-0.8227146565371428</td></tr>
<tr><td>13</td><td>0.0914900216224500</td><td>0.8227146565371428</td></tr>
<tr><td>14</td><td>0.0690445427376412</td><td>-0.9031559036148179</td></tr>
<tr><td>15</td><td>0.0690445427376412</td><td>0.9031559036148179</td></tr>
<tr><td>16</td><td>0.0448142267656996</td><td>-0.9602081521348300</td></tr>
<tr><td>17</td><td>0.0448142267656996</td><td>0.9602081521348300</td></tr>
<tr><td>18</td><td>0.0194617882297265</td><td>-0.9924068438435844</td></tr>
<tr><td>19</td><td>0.0194617882297265</td><td>0.9924068438435844</td></tr>
</tbody>
</table>
</div>
<div id="n20">
<a name="n20"></a>
<table><tr><td nowrap="nowrap" style="padding-right: 3em;"><h2>n = 20</h2></td><td><div class='anchors'> jump to n = <a href='#n2'>2</a>, <a href='#n3'>3</a>, <a href='#n4'>4</a>, <a href='#n5'>5</a>, <a href='#n6'>6</a>, <a href='#n7'>7</a>, <a href='#n8'>8</a>, <a href='#n9'>9</a>, <a href='#n10'>10</a>, <a href='#n11'>11</a>, <a href='#n12'>12</a>, <a href='#n13'>13</a>, <a href='#n14'>14</a>, <a href='#n15'>15</a>, <a href='#n16'>16</a>, <a href='#n17'>17</a>, <a href='#n18'>18</a>, <a href='#n19'>19</a>, <a href='#n20'>20</a>, <a href='#n21'>21</a>, <a href='#n22'>22</a>, <a href='#n23'>23</a>, <a href='#n24'>24</a>, <a href='#n25'>25</a>, <a href='#n26'>26</a>, <a href='#n27'>27</a>, <a href='#n28'>28</a>, <a href='#n29'>29</a>, <a href='#n30'>30</a>, <a href='#n31'>31</a>, <a href='#n32'>32</a>, <a href='#n33'>33</a>, <a href='#n34'>34</a>, <a href='#n35'>35</a>, <a href='#n36'>36</a>, <a href='#n37'>37</a>, <a href='#n38'>38</a>, <a href='#n39'>39</a>, <a href='#n40'>40</a>, <a href='#n41'>41</a>, <a href='#n42'>42</a>, <a href='#n43'>43</a>, <a href='#n44'>44</a>, <a href='#n45'>45</a>, <a href='#n46'>46</a>, <a href='#n47'>47</a>, <a href='#n48'>48</a>, <a href='#n49'>49</a>, <a href='#n50'>50</a>, <a href='#n51'>51</a>, <a href='#n52'>52</a>, <a href='#n53'>53</a>, <a href='#n54'>54</a>, <a href='#n55'>55</a>, <a href='#n56'>56</a>, <a href='#n57'>57</a>, <a href='#n58'>58</a>, <a href='#n59'>59</a>, <a href='#n60'>60</a>, <a href='#n61'>61</a>, <a href='#n62'>62</a>, <a href='#n63'>63</a>, <a href='#n64'>64</a></div>
</td></tr></table>
<table class="tbl">
<thead><tr><td><i>i</i></td><td>weight - w<sub>i</sub></td><td>abscissa - <i>x</i><sub>i</sub></td></tr></thead>
<tbody>
<tr><td>1</td><td>0.1527533871307258</td><td>-0.0765265211334973</td></tr>
<tr><td>2</td><td>0.1527533871307258</td><td>0.0765265211334973</td></tr>
<tr><td>3</td><td>0.1491729864726037</td><td>-0.2277858511416451</td></tr>
<tr><td>4</td><td>0.1491729864726037</td><td>0.2277858511416451</td></tr>
<tr><td>5</td><td>0.1420961093183820</td><td>-0.3737060887154195</td></tr>
<tr><td>6</td><td>0.1420961093183820</td><td>0.3737060887154195</td></tr>
<tr><td>7</td><td>0.1316886384491766</td><td>-0.5108670019508271</td></tr>
<tr><td>8</td><td>0.1316886384491766</td><td>0.5108670019508271</td></tr>
<tr><td>9</td><td>0.1181945319615184</td><td>-0.6360536807265150</td></tr>
<tr><td>10</td><td>0.1181945319615184</td><td>0.6360536807265150</td></tr>
<tr><td>11</td><td>0.1019301198172404</td><td>-0.7463319064601508</td></tr>
<tr><td>12</td><td>0.1019301198172404</td><td>0.7463319064601508</td></tr>
<tr><td>13</td><td>0.0832767415767048</td><td>-0.8391169718222188</td></tr>
<tr><td>14</td><td>0.0832767415767048</td><td>0.8391169718222188</td></tr>
<tr><td>15</td><td>0.0626720483341091</td><td>-0.9122344282513259</td></tr>
<tr><td>16</td><td>0.0626720483341091</td><td>0.9122344282513259</td></tr>
<tr><td>17</td><td>0.0406014298003869</td><td>-0.9639719272779138</td></tr>
<tr><td>18</td><td>0.0406014298003869</td><td>0.9639719272779138</td></tr>
<tr><td>19</td><td>0.0176140071391521</td><td>-0.9931285991850949</td></tr>
<tr><td>20</td><td>0.0176140071391521</td><td>0.9931285991850949</td></tr>
</tbody>
</table>
</div>
<div id="n21">
<a name="n21"></a>
<table><tr><td nowrap="nowrap" style="padding-right: 3em;"><h2>n = 21</h2></td><td><div class='anchors'> jump to n = <a href='#n2'>2</a>, <a href='#n3'>3</a>, <a href='#n4'>4</a>, <a href='#n5'>5</a>, <a href='#n6'>6</a>, <a href='#n7'>7</a>, <a href='#n8'>8</a>, <a href='#n9'>9</a>, <a href='#n10'>10</a>, <a href='#n11'>11</a>, <a href='#n12'>12</a>, <a href='#n13'>13</a>, <a href='#n14'>14</a>, <a href='#n15'>15</a>, <a href='#n16'>16</a>, <a href='#n17'>17</a>, <a href='#n18'>18</a>, <a href='#n19'>19</a>, <a href='#n20'>20</a>, <a href='#n21'>21</a>, <a href='#n22'>22</a>, <a href='#n23'>23</a>, <a href='#n24'>24</a>, <a href='#n25'>25</a>, <a href='#n26'>26</a>, <a href='#n27'>27</a>, <a href='#n28'>28</a>, <a href='#n29'>29</a>, <a href='#n30'>30</a>, <a href='#n31'>31</a>, <a href='#n32'>32</a>, <a href='#n33'>33</a>, <a href='#n34'>34</a>, <a href='#n35'>35</a>, <a href='#n36'>36</a>, <a href='#n37'>37</a>, <a href='#n38'>38</a>, <a href='#n39'>39</a>, <a href='#n40'>40</a>, <a href='#n41'>41</a>, <a href='#n42'>42</a>, <a href='#n43'>43</a>, <a href='#n44'>44</a>, <a href='#n45'>45</a>, <a href='#n46'>46</a>, <a href='#n47'>47</a>, <a href='#n48'>48</a>, <a href='#n49'>49</a>, <a href='#n50'>50</a>, <a href='#n51'>51</a>, <a href='#n52'>52</a>, <a href='#n53'>53</a>, <a href='#n54'>54</a>, <a href='#n55'>55</a>, <a href='#n56'>56</a>, <a href='#n57'>57</a>, <a href='#n58'>58</a>, <a href='#n59'>59</a>, <a href='#n60'>60</a>, <a href='#n61'>61</a>, <a href='#n62'>62</a>, <a href='#n63'>63</a>, <a href='#n64'>64</a></div>
</td></tr></table>
<table class="tbl">
<thead><tr><td><i>i</i></td><td>weight - w<sub>i</sub></td><td>abscissa - <i>x</i><sub>i</sub></td></tr></thead>
<tbody>
<tr><td>1</td><td>0.1460811336496904</td><td>0.0000000000000000</td></tr>
<tr><td>2</td><td>0.1445244039899700</td><td>-0.1455618541608951</td></tr>
<tr><td>3</td><td>0.1445244039899700</td><td>0.1455618541608951</td></tr>
<tr><td>4</td><td>0.1398873947910731</td><td>-0.2880213168024011</td></tr>
<tr><td>5</td><td>0.1398873947910731</td><td>0.2880213168024011</td></tr>
<tr><td>6</td><td>0.1322689386333375</td><td>-0.4243421202074388</td></tr>
<tr><td>7</td><td>0.1322689386333375</td><td>0.4243421202074388</td></tr>
<tr><td>8</td><td>0.1218314160537285</td><td>-0.5516188358872198</td></tr>
<tr><td>9</td><td>0.1218314160537285</td><td>0.5516188358872198</td></tr>
<tr><td>10</td><td>0.1087972991671484</td><td>-0.6671388041974123</td></tr>
<tr><td>11</td><td>0.1087972991671484</td><td>0.6671388041974123</td></tr>
<tr><td>12</td><td>0.0934444234560339</td><td>-0.7684399634756779</td></tr>
<tr><td>13</td><td>0.0934444234560339</td><td>0.7684399634756779</td></tr>
<tr><td>14</td><td>0.0761001136283793</td><td>-0.8533633645833173</td></tr>
<tr><td>15</td><td>0.0761001136283793</td><td>0.8533633645833173</td></tr>
<tr><td>16</td><td>0.0571344254268572</td><td>-0.9200993341504008</td></tr>
<tr><td>17</td><td>0.0571344254268572</td><td>0.9200993341504008</td></tr>
<tr><td>18</td><td>0.0369537897708525</td><td>-0.9672268385663063</td></tr>
<tr><td>19</td><td>0.0369537897708525</td><td>0.9672268385663063</td></tr>
<tr><td>20</td><td>0.0160172282577743</td><td>-0.9937521706203895</td></tr>
<tr><td>21</td><td>0.0160172282577743</td><td>0.9937521706203895</td></tr>
</tbody>
</table>
</div>
<div id="n22">
<a name="n22"></a>
<table><tr><td nowrap="nowrap" style="padding-right: 3em;"><h2>n = 22</h2></td><td><div class='anchors'> jump to n = <a href='#n2'>2</a>, <a href='#n3'>3</a>, <a href='#n4'>4</a>, <a href='#n5'>5</a>, <a href='#n6'>6</a>, <a href='#n7'>7</a>, <a href='#n8'>8</a>, <a href='#n9'>9</a>, <a href='#n10'>10</a>, <a href='#n11'>11</a>, <a href='#n12'>12</a>, <a href='#n13'>13</a>, <a href='#n14'>14</a>, <a href='#n15'>15</a>, <a href='#n16'>16</a>, <a href='#n17'>17</a>, <a href='#n18'>18</a>, <a href='#n19'>19</a>, <a href='#n20'>20</a>, <a href='#n21'>21</a>, <a href='#n22'>22</a>, <a href='#n23'>23</a>, <a href='#n24'>24</a>, <a href='#n25'>25</a>, <a href='#n26'>26</a>, <a href='#n27'>27</a>, <a href='#n28'>28</a>, <a href='#n29'>29</a>, <a href='#n30'>30</a>, <a href='#n31'>31</a>, <a href='#n32'>32</a>, <a href='#n33'>33</a>, <a href='#n34'>34</a>, <a href='#n35'>35</a>, <a href='#n36'>36</a>, <a href='#n37'>37</a>, <a href='#n38'>38</a>, <a href='#n39'>39</a>, <a href='#n40'>40</a>, <a href='#n41'>41</a>, <a href='#n42'>42</a>, <a href='#n43'>43</a>, <a href='#n44'>44</a>, <a href='#n45'>45</a>, <a href='#n46'>46</a>, <a href='#n47'>47</a>, <a href='#n48'>48</a>, <a href='#n49'>49</a>, <a href='#n50'>50</a>, <a href='#n51'>51</a>, <a href='#n52'>52</a>, <a href='#n53'>53</a>, <a href='#n54'>54</a>, <a href='#n55'>55</a>, <a href='#n56'>56</a>, <a href='#n57'>57</a>, <a href='#n58'>58</a>, <a href='#n59'>59</a>, <a href='#n60'>60</a>, <a href='#n61'>61</a>, <a href='#n62'>62</a>, <a href='#n63'>63</a>, <a href='#n64'>64</a></div>
</td></tr></table>
<table class="tbl">
<thead><tr><td><i>i</i></td><td>weight - w<sub>i</sub></td><td>abscissa - <i>x</i><sub>i</sub></td></tr></thead>
<tbody>
<tr><td>1</td><td>0.1392518728556320</td><td>-0.0697392733197222</td></tr>
<tr><td>2</td><td>0.1392518728556320</td><td>0.0697392733197222</td></tr>
<tr><td>3</td><td>0.1365414983460152</td><td>-0.2078604266882213</td></tr>
<tr><td>4</td><td>0.1365414983460152</td><td>0.2078604266882213</td></tr>
<tr><td>5</td><td>0.1311735047870624</td><td>-0.3419358208920842</td></tr>
<tr><td>6</td><td>0.1311735047870624</td><td>0.3419358208920842</td></tr>
<tr><td>7</td><td>0.1232523768105124</td><td>-0.4693558379867570</td></tr>
<tr><td>8</td><td>0.1232523768105124</td><td>0.4693558379867570</td></tr>
<tr><td>9</td><td>0.1129322960805392</td><td>-0.5876404035069116</td></tr>
<tr><td>10</td><td>0.1129322960805392</td><td>0.5876404035069116</td></tr>
<tr><td>11</td><td>0.1004141444428810</td><td>-0.6944872631866827</td></tr>
<tr><td>12</td><td>0.1004141444428810</td><td>0.6944872631866827</td></tr>
<tr><td>13</td><td>0.0859416062170677</td><td>-0.7878168059792081</td></tr>
<tr><td>14</td><td>0.0859416062170677</td><td>0.7878168059792081</td></tr>
<tr><td>15</td><td>0.0697964684245205</td><td>-0.8658125777203002</td></tr>
<tr><td>16</td><td>0.0697964684245205</td><td>0.8658125777203002</td></tr>
<tr><td>17</td><td>0.0522933351526833</td><td>-0.9269567721871740</td></tr>
<tr><td>18</td><td>0.0522933351526833</td><td>0.9269567721871740</td></tr>
<tr><td>19</td><td>0.0337749015848142</td><td>-0.9700604978354287</td></tr>
<tr><td>20</td><td>0.0337749015848142</td><td>0.9700604978354287</td></tr>
<tr><td>21</td><td>0.0146279952982722</td><td>-0.9942945854823992</td></tr>
<tr><td>22</td><td>0.0146279952982722</td><td>0.9942945854823992</td></tr>
</tbody>
</table>
</div>
<div id="n23">
<a name="n23"></a>
<table><tr><td nowrap="nowrap" style="padding-right: 3em;"><h2>n = 23</h2></td><td><div class='anchors'> jump to n = <a href='#n2'>2</a>, <a href='#n3'>3</a>, <a href='#n4'>4</a>, <a href='#n5'>5</a>, <a href='#n6'>6</a>, <a href='#n7'>7</a>, <a href='#n8'>8</a>, <a href='#n9'>9</a>, <a href='#n10'>10</a>, <a href='#n11'>11</a>, <a href='#n12'>12</a>, <a href='#n13'>13</a>, <a href='#n14'>14</a>, <a href='#n15'>15</a>, <a href='#n16'>16</a>, <a href='#n17'>17</a>, <a href='#n18'>18</a>, <a href='#n19'>19</a>, <a href='#n20'>20</a>, <a href='#n21'>21</a>, <a href='#n22'>22</a>, <a href='#n23'>23</a>, <a href='#n24'>24</a>, <a href='#n25'>25</a>, <a href='#n26'>26</a>, <a href='#n27'>27</a>, <a href='#n28'>28</a>, <a href='#n29'>29</a>, <a href='#n30'>30</a>, <a href='#n31'>31</a>, <a href='#n32'>32</a>, <a href='#n33'>33</a>, <a href='#n34'>34</a>, <a href='#n35'>35</a>, <a href='#n36'>36</a>, <a href='#n37'>37</a>, <a href='#n38'>38</a>, <a href='#n39'>39</a>, <a href='#n40'>40</a>, <a href='#n41'>41</a>, <a href='#n42'>42</a>, <a href='#n43'>43</a>, <a href='#n44'>44</a>, <a href='#n45'>45</a>, <a href='#n46'>46</a>, <a href='#n47'>47</a>, <a href='#n48'>48</a>, <a href='#n49'>49</a>, <a href='#n50'>50</a>, <a href='#n51'>51</a>, <a href='#n52'>52</a>, <a href='#n53'>53</a>, <a href='#n54'>54</a>, <a href='#n55'>55</a>, <a href='#n56'>56</a>, <a href='#n57'>57</a>, <a href='#n58'>58</a>, <a href='#n59'>59</a>, <a href='#n60'>60</a>, <a href='#n61'>61</a>, <a href='#n62'>62</a>, <a href='#n63'>63</a>, <a href='#n64'>64</a></div>
</td></tr></table>
<table class="tbl">
<thead><tr><td><i>i</i></td><td>weight - w<sub>i</sub></td><td>abscissa - <i>x</i><sub>i</sub></td></tr></thead>
<tbody>
<tr><td>1</td><td>0.1336545721861062</td><td>0.0000000000000000</td></tr>
<tr><td>2</td><td>0.1324620394046966</td><td>-0.1332568242984661</td></tr>
<tr><td>3</td><td>0.1324620394046966</td><td>0.1332568242984661</td></tr>
<tr><td>4</td><td>0.1289057221880822</td><td>-0.2641356809703450</td></tr>
<tr><td>5</td><td>0.1289057221880822</td><td>0.2641356809703450</td></tr>
<tr><td>6</td><td>0.1230490843067295</td><td>-0.3903010380302908</td></tr>
<tr><td>7</td><td>0.1230490843067295</td><td>0.3903010380302908</td></tr>
<tr><td>8</td><td>0.1149966402224114</td><td>-0.5095014778460075</td></tr>
<tr><td>9</td><td>0.1149966402224114</td><td>0.5095014778460075</td></tr>
<tr><td>10</td><td>0.1048920914645414</td><td>-0.6196098757636461</td></tr>
<tr><td>11</td><td>0.1048920914645414</td><td>0.6196098757636461</td></tr>
<tr><td>12</td><td>0.0929157660600352</td><td>-0.7186613631319502</td></tr>
<tr><td>13</td><td>0.0929157660600352</td><td>0.7186613631319502</td></tr>
<tr><td>14</td><td>0.0792814117767189</td><td>-0.8048884016188399</td></tr>
<tr><td>15</td><td>0.0792814117767189</td><td>0.8048884016188399</td></tr>
<tr><td>16</td><td>0.0642324214085258</td><td>-0.8767523582704416</td></tr>
<tr><td>17</td><td>0.0642324214085258</td><td>0.8767523582704416</td></tr>
<tr><td>18</td><td>0.0480376717310847</td><td>-0.9329710868260161</td></tr>
<tr><td>19</td><td>0.0480376717310847</td><td>0.9329710868260161</td></tr>
<tr><td>20</td><td>0.0309880058569794</td><td>-0.9725424712181152</td></tr>
<tr><td>21</td><td>0.0309880058569794</td><td>0.9725424712181152</td></tr>
<tr><td>22</td><td>0.0134118594871418</td><td>-0.9947693349975522</td></tr>
<tr><td>23</td><td>0.0134118594871418</td><td>0.9947693349975522</td></tr>
</tbody>
</table>
</div>
<div id="n24">
<a name="n24"></a>
<table><tr><td nowrap="nowrap" style="padding-right: 3em;"><h2>n = 24</h2></td><td><div class='anchors'> jump to n = <a href='#n2'>2</a>, <a href='#n3'>3</a>, <a href='#n4'>4</a>, <a href='#n5'>5</a>, <a href='#n6'>6</a>, <a href='#n7'>7</a>, <a href='#n8'>8</a>, <a href='#n9'>9</a>, <a href='#n10'>10</a>, <a href='#n11'>11</a>, <a href='#n12'>12</a>, <a href='#n13'>13</a>, <a href='#n14'>14</a>, <a href='#n15'>15</a>, <a href='#n16'>16</a>, <a href='#n17'>17</a>, <a href='#n18'>18</a>, <a href='#n19'>19</a>, <a href='#n20'>20</a>, <a href='#n21'>21</a>, <a href='#n22'>22</a>, <a href='#n23'>23</a>, <a href='#n24'>24</a>, <a href='#n25'>25</a>, <a href='#n26'>26</a>, <a href='#n27'>27</a>, <a href='#n28'>28</a>, <a href='#n29'>29</a>, <a href='#n30'>30</a>, <a href='#n31'>31</a>, <a href='#n32'>32</a>, <a href='#n33'>33</a>, <a href='#n34'>34</a>, <a href='#n35'>35</a>, <a href='#n36'>36</a>, <a href='#n37'>37</a>, <a href='#n38'>38</a>, <a href='#n39'>39</a>, <a href='#n40'>40</a>, <a href='#n41'>41</a>, <a href='#n42'>42</a>, <a href='#n43'>43</a>, <a href='#n44'>44</a>, <a href='#n45'>45</a>, <a href='#n46'>46</a>, <a href='#n47'>47</a>, <a href='#n48'>48</a>, <a href='#n49'>49</a>, <a href='#n50'>50</a>, <a href='#n51'>51</a>, <a href='#n52'>52</a>, <a href='#n53'>53</a>, <a href='#n54'>54</a>, <a href='#n55'>55</a>, <a href='#n56'>56</a>, <a href='#n57'>57</a>, <a href='#n58'>58</a>, <a href='#n59'>59</a>, <a href='#n60'>60</a>, <a href='#n61'>61</a>, <a href='#n62'>62</a>, <a href='#n63'>63</a>, <a href='#n64'>64</a></div>
</td></tr></table>
<table class="tbl">
<thead><tr><td><i>i</i></td><td>weight - w<sub>i</sub></td><td>abscissa - <i>x</i><sub>i</sub></td></tr></thead>
<tbody>
<tr><td>1</td><td>0.1279381953467522</td><td>-0.0640568928626056</td></tr>
<tr><td>2</td><td>0.1279381953467522</td><td>0.0640568928626056</td></tr>
<tr><td>3</td><td>0.1258374563468283</td><td>-0.1911188674736163</td></tr>
<tr><td>4</td><td>0.1258374563468283</td><td>0.1911188674736163</td></tr>
<tr><td>5</td><td>0.1216704729278034</td><td>-0.3150426796961634</td></tr>
<tr><td>6</td><td>0.1216704729278034</td><td>0.3150426796961634</td></tr>
<tr><td>7</td><td>0.1155056680537256</td><td>-0.4337935076260451</td></tr>
<tr><td>8</td><td>0.1155056680537256</td><td>0.4337935076260451</td></tr>
<tr><td>9</td><td>0.1074442701159656</td><td>-0.5454214713888396</td></tr>
<tr><td>10</td><td>0.1074442701159656</td><td>0.5454214713888396</td></tr>
<tr><td>11</td><td>0.0976186521041139</td><td>-0.6480936519369755</td></tr>
<tr><td>12</td><td>0.0976186521041139</td><td>0.6480936519369755</td></tr>
<tr><td>13</td><td>0.0861901615319533</td><td>-0.7401241915785544</td></tr>
<tr><td>14</td><td>0.0861901615319533</td><td>0.7401241915785544</td></tr>
<tr><td>15</td><td>0.0733464814110803</td><td>-0.8200019859739029</td></tr>
<tr><td>16</td><td>0.0733464814110803</td><td>0.8200019859739029</td></tr>
<tr><td>17</td><td>0.0592985849154368</td><td>-0.8864155270044011</td></tr>
<tr><td>18</td><td>0.0592985849154368</td><td>0.8864155270044011</td></tr>
<tr><td>19</td><td>0.0442774388174198</td><td>-0.9382745520027328</td></tr>
<tr><td>20</td><td>0.0442774388174198</td><td>0.9382745520027328</td></tr>
<tr><td>21</td><td>0.0285313886289337</td><td>-0.9747285559713095</td></tr>
<tr><td>22</td><td>0.0285313886289337</td><td>0.9747285559713095</td></tr>
<tr><td>23</td><td>0.0123412297999872</td><td>-0.9951872199970213</td></tr>
<tr><td>24</td><td>0.0123412297999872</td><td>0.9951872199970213</td></tr>
</tbody>
</table>
</div>
<div id="n25">
<a name="n25"></a>
<table><tr><td nowrap="nowrap" style="padding-right: 3em;"><h2>n = 25</h2></td><td><div class='anchors'> jump to n = <a href='#n2'>2</a>, <a href='#n3'>3</a>, <a href='#n4'>4</a>, <a href='#n5'>5</a>, <a href='#n6'>6</a>, <a href='#n7'>7</a>, <a href='#n8'>8</a>, <a href='#n9'>9</a>, <a href='#n10'>10</a>, <a href='#n11'>11</a>, <a href='#n12'>12</a>, <a href='#n13'>13</a>, <a href='#n14'>14</a>, <a href='#n15'>15</a>, <a href='#n16'>16</a>, <a href='#n17'>17</a>, <a href='#n18'>18</a>, <a href='#n19'>19</a>, <a href='#n20'>20</a>, <a href='#n21'>21</a>, <a href='#n22'>22</a>, <a href='#n23'>23</a>, <a href='#n24'>24</a>, <a href='#n25'>25</a>, <a href='#n26'>26</a>, <a href='#n27'>27</a>, <a href='#n28'>28</a>, <a href='#n29'>29</a>, <a href='#n30'>30</a>, <a href='#n31'>31</a>, <a href='#n32'>32</a>, <a href='#n33'>33</a>, <a href='#n34'>34</a>, <a href='#n35'>35</a>, <a href='#n36'>36</a>, <a href='#n37'>37</a>, <a href='#n38'>38</a>, <a href='#n39'>39</a>, <a href='#n40'>40</a>, <a href='#n41'>41</a>, <a href='#n42'>42</a>, <a href='#n43'>43</a>, <a href='#n44'>44</a>, <a href='#n45'>45</a>, <a href='#n46'>46</a>, <a href='#n47'>47</a>, <a href='#n48'>48</a>, <a href='#n49'>49</a>, <a href='#n50'>50</a>, <a href='#n51'>51</a>, <a href='#n52'>52</a>, <a href='#n53'>53</a>, <a href='#n54'>54</a>, <a href='#n55'>55</a>, <a href='#n56'>56</a>, <a href='#n57'>57</a>, <a href='#n58'>58</a>, <a href='#n59'>59</a>, <a href='#n60'>60</a>, <a href='#n61'>61</a>, <a href='#n62'>62</a>, <a href='#n63'>63</a>, <a href='#n64'>64</a></div>
</td></tr></table>
<table class="tbl">
<thead><tr><td><i>i</i></td><td>weight - w<sub>i</sub></td><td>abscissa - <i>x</i><sub>i</sub></td></tr></thead>
<tbody>
<tr><td>1</td><td>0.1231760537267154</td><td>0.0000000000000000</td></tr>
<tr><td>2</td><td>0.1222424429903100</td><td>-0.1228646926107104</td></tr>
<tr><td>3</td><td>0.1222424429903100</td><td>0.1228646926107104</td></tr>
<tr><td>4</td><td>0.1194557635357848</td><td>-0.2438668837209884</td></tr>
<tr><td>5</td><td>0.1194557635357848</td><td>0.2438668837209884</td></tr>
<tr><td>6</td><td>0.1148582591457116</td><td>-0.3611723058093879</td></tr>
<tr><td>7</td><td>0.1148582591457116</td><td>0.3611723058093879</td></tr>
<tr><td>8</td><td>0.1085196244742637</td><td>-0.4730027314457150</td></tr>
<tr><td>9</td><td>0.1085196244742637</td><td>0.4730027314457150</td></tr>
<tr><td>10</td><td>0.1005359490670506</td><td>-0.5776629302412229</td></tr>
<tr><td>11</td><td>0.1005359490670506</td><td>0.5776629302412229</td></tr>
<tr><td>12</td><td>0.0910282619829637</td><td>-0.6735663684734684</td></tr>
<tr><td>13</td><td>0.0910282619829637</td><td>0.6735663684734684</td></tr>
<tr><td>14</td><td>0.0801407003350010</td><td>-0.7592592630373576</td></tr>
<tr><td>15</td><td>0.0801407003350010</td><td>0.7592592630373576</td></tr>
<tr><td>16</td><td>0.0680383338123569</td><td>-0.8334426287608340</td></tr>
<tr><td>17</td><td>0.0680383338123569</td><td>0.8334426287608340</td></tr>
<tr><td>18</td><td>0.0549046959758352</td><td>-0.8949919978782753</td></tr>
<tr><td>19</td><td>0.0549046959758352</td><td>0.8949919978782753</td></tr>
<tr><td>20</td><td>0.0409391567013063</td><td>-0.9429745712289743</td></tr>
<tr><td>21</td><td>0.0409391567013063</td><td>0.9429745712289743</td></tr>
<tr><td>22</td><td>0.0263549866150321</td><td>-0.9766639214595175</td></tr>
<tr><td>23</td><td>0.0263549866150321</td><td>0.9766639214595175</td></tr>
<tr><td>24</td><td>0.0113937985010263</td><td>-0.9955569697904981</td></tr>
<tr><td>25</td><td>0.0113937985010263</td><td>0.9955569697904981</td></tr>
</tbody>
</table>
</div>
<div id="n26">
<a name="n26"></a>
<table><tr><td nowrap="nowrap" style="padding-right: 3em;"><h2>n = 26</h2></td><td><div class='anchors'> jump to n = <a href='#n2'>2</a>, <a href='#n3'>3</a>, <a href='#n4'>4</a>, <a href='#n5'>5</a>, <a href='#n6'>6</a>, <a href='#n7'>7</a>, <a href='#n8'>8</a>, <a href='#n9'>9</a>, <a href='#n10'>10</a>, <a href='#n11'>11</a>, <a href='#n12'>12</a>, <a href='#n13'>13</a>, <a href='#n14'>14</a>, <a href='#n15'>15</a>, <a href='#n16'>16</a>, <a href='#n17'>17</a>, <a href='#n18'>18</a>, <a href='#n19'>19</a>, <a href='#n20'>20</a>, <a href='#n21'>21</a>, <a href='#n22'>22</a>, <a href='#n23'>23</a>, <a href='#n24'>24</a>, <a href='#n25'>25</a>, <a href='#n26'>26</a>, <a href='#n27'>27</a>, <a href='#n28'>28</a>, <a href='#n29'>29</a>, <a href='#n30'>30</a>, <a href='#n31'>31</a>, <a href='#n32'>32</a>, <a href='#n33'>33</a>, <a href='#n34'>34</a>, <a href='#n35'>35</a>, <a href='#n36'>36</a>, <a href='#n37'>37</a>, <a href='#n38'>38</a>, <a href='#n39'>39</a>, <a href='#n40'>40</a>, <a href='#n41'>41</a>, <a href='#n42'>42</a>, <a href='#n43'>43</a>, <a href='#n44'>44</a>, <a href='#n45'>45</a>, <a href='#n46'>46</a>, <a href='#n47'>47</a>, <a href='#n48'>48</a>, <a href='#n49'>49</a>, <a href='#n50'>50</a>, <a href='#n51'>51</a>, <a href='#n52'>52</a>, <a href='#n53'>53</a>, <a href='#n54'>54</a>, <a href='#n55'>55</a>, <a href='#n56'>56</a>, <a href='#n57'>57</a>, <a href='#n58'>58</a>, <a href='#n59'>59</a>, <a href='#n60'>60</a>, <a href='#n61'>61</a>, <a href='#n62'>62</a>, <a href='#n63'>63</a>, <a href='#n64'>64</a></div>
</td></tr></table>
<table class="tbl">
<thead><tr><td><i>i</i></td><td>weight - w<sub>i</sub></td><td>abscissa - <i>x</i><sub>i</sub></td></tr></thead>
<tbody>
<tr><td>1</td><td>0.1183214152792623</td><td>-0.0592300934293132</td></tr>
<tr><td>2</td><td>0.1183214152792623</td><td>0.0592300934293132</td></tr>
<tr><td>3</td><td>0.1166604434852966</td><td>-0.1768588203568902</td></tr>
<tr><td>4</td><td>0.1166604434852966</td><td>0.1768588203568902</td></tr>
<tr><td>5</td><td>0.1133618165463197</td><td>-0.2920048394859569</td></tr>
<tr><td>6</td><td>0.1133618165463197</td><td>0.2920048394859569</td></tr>
<tr><td>7</td><td>0.1084718405285766</td><td>-0.4030517551234863</td></tr>
<tr><td>8</td><td>0.1084718405285766</td><td>0.4030517551234863</td></tr>
<tr><td>9</td><td>0.1020591610944254</td><td>-0.5084407148245057</td></tr>
<tr><td>10</td><td>0.1020591610944254</td><td>0.5084407148245057</td></tr>
<tr><td>11</td><td>0.0942138003559141</td><td>-0.6066922930176181</td></tr>
<tr><td>12</td><td>0.0942138003559141</td><td>0.6066922930176181</td></tr>
<tr><td>13</td><td>0.0850458943134852</td><td>-0.6964272604199573</td></tr>
<tr><td>14</td><td>0.0850458943134852</td><td>0.6964272604199573</td></tr>
<tr><td>15</td><td>0.0746841497656597</td><td>-0.7763859488206789</td></tr>
<tr><td>16</td><td>0.0746841497656597</td><td>0.7763859488206789</td></tr>
<tr><td>17</td><td>0.0632740463295748</td><td>-0.8454459427884981</td></tr>
<tr><td>18</td><td>0.0632740463295748</td><td>0.8454459427884981</td></tr>
<tr><td>19</td><td>0.0509758252971478</td><td>-0.9026378619843071</td></tr>
<tr><td>20</td><td>0.0509758252971478</td><td>0.9026378619843071</td></tr>
<tr><td>21</td><td>0.0379623832943628</td><td>-0.9471590666617142</td></tr>
<tr><td>22</td><td>0.0379623832943628</td><td>0.9471590666617142</td></tr>
<tr><td>23</td><td>0.0244178510926319</td><td>-0.9783854459564710</td></tr>
<tr><td>24</td><td>0.0244178510926319</td><td>0.9783854459564710</td></tr>
<tr><td>25</td><td>0.0105513726173430</td><td>-0.9958857011456169</td></tr>
<tr><td>26</td><td>0.0105513726173430</td><td>0.9958857011456169</td></tr>
</tbody>
</table>
</div>
<div id="n27">
<a name="n27"></a>
<table><tr><td nowrap="nowrap" style="padding-right: 3em;"><h2>n = 27</h2></td><td><div class='anchors'> jump to n = <a href='#n2'>2</a>, <a href='#n3'>3</a>, <a href='#n4'>4</a>, <a href='#n5'>5</a>, <a href='#n6'>6</a>, <a href='#n7'>7</a>, <a href='#n8'>8</a>, <a href='#n9'>9</a>, <a href='#n10'>10</a>, <a href='#n11'>11</a>, <a href='#n12'>12</a>, <a href='#n13'>13</a>, <a href='#n14'>14</a>, <a href='#n15'>15</a>, <a href='#n16'>16</a>, <a href='#n17'>17</a>, <a href='#n18'>18</a>, <a href='#n19'>19</a>, <a href='#n20'>20</a>, <a href='#n21'>21</a>, <a href='#n22'>22</a>, <a href='#n23'>23</a>, <a href='#n24'>24</a>, <a href='#n25'>25</a>, <a href='#n26'>26</a>, <a href='#n27'>27</a>, <a href='#n28'>28</a>, <a href='#n29'>29</a>, <a href='#n30'>30</a>, <a href='#n31'>31</a>, <a href='#n32'>32</a>, <a href='#n33'>33</a>, <a href='#n34'>34</a>, <a href='#n35'>35</a>, <a href='#n36'>36</a>, <a href='#n37'>37</a>, <a href='#n38'>38</a>, <a href='#n39'>39</a>, <a href='#n40'>40</a>, <a href='#n41'>41</a>, <a href='#n42'>42</a>, <a href='#n43'>43</a>, <a href='#n44'>44</a>, <a href='#n45'>45</a>, <a href='#n46'>46</a>, <a href='#n47'>47</a>, <a href='#n48'>48</a>, <a href='#n49'>49</a>, <a href='#n50'>50</a>, <a href='#n51'>51</a>, <a href='#n52'>52</a>, <a href='#n53'>53</a>, <a href='#n54'>54</a>, <a href='#n55'>55</a>, <a href='#n56'>56</a>, <a href='#n57'>57</a>, <a href='#n58'>58</a>, <a href='#n59'>59</a>, <a href='#n60'>60</a>, <a href='#n61'>61</a>, <a href='#n62'>62</a>, <a href='#n63'>63</a>, <a href='#n64'>64</a></div>
</td></tr></table>
<table class="tbl">
<thead><tr><td><i>i</i></td><td>weight - w<sub>i</sub></td><td>abscissa - <i>x</i><sub>i</sub></td></tr></thead>
<tbody>
<tr><td>1</td><td>0.1142208673789570</td><td>0.0000000000000000</td></tr>
<tr><td>2</td><td>0.1134763461089651</td><td>-0.1139725856095300</td></tr>
<tr><td>3</td><td>0.1134763461089651</td><td>0.1139725856095300</td></tr>
<tr><td>4</td><td>0.1112524883568452</td><td>-0.2264593654395368</td></tr>
<tr><td>5</td><td>0.1112524883568452</td><td>0.2264593654395368</td></tr>
<tr><td>6</td><td>0.1075782857885332</td><td>-0.3359939036385089</td></tr>
<tr><td>7</td><td>0.1075782857885332</td><td>0.3359939036385089</td></tr>
<tr><td>8</td><td>0.1025016378177458</td><td>-0.4411482517500269</td></tr>
<tr><td>9</td><td>0.1025016378177458</td><td>0.4411482517500269</td></tr>
<tr><td>10</td><td>0.0960887273700285</td><td>-0.5405515645794569</td></tr>
<tr><td>11</td><td>0.0960887273700285</td><td>0.5405515645794569</td></tr>
<tr><td>12</td><td>0.0884231585437569</td><td>-0.6329079719464952</td></tr>
<tr><td>13</td><td>0.0884231585437569</td><td>0.6329079719464952</td></tr>
<tr><td>14</td><td>0.0796048677730578</td><td>-0.7170134737394237</td></tr>
<tr><td>15</td><td>0.0796048677730578</td><td>0.7170134737394237</td></tr>
<tr><td>16</td><td>0.0697488237662456</td><td>-0.7917716390705082</td></tr>
<tr><td>17</td><td>0.0697488237662456</td><td>0.7917716390705082</td></tr>
<tr><td>18</td><td>0.0589835368598336</td><td>-0.8562079080182945</td></tr>
<tr><td>19</td><td>0.0589835368598336</td><td>0.8562079080182945</td></tr>
<tr><td>20</td><td>0.0474494125206151</td><td>-0.9094823206774911</td></tr>
<tr><td>21</td><td>0.0474494125206151</td><td>0.9094823206774911</td></tr>
<tr><td>22</td><td>0.0352970537574197</td><td>-0.9509005578147051</td></tr>
<tr><td>23</td><td>0.0352970537574197</td><td>0.9509005578147051</td></tr>
<tr><td>24</td><td>0.0226862315961806</td><td>-0.9799234759615012</td></tr>
<tr><td>25</td><td>0.0226862315961806</td><td>0.9799234759615012</td></tr>
<tr><td>26</td><td>0.0097989960512944</td><td>-0.9961792628889886</td></tr>
<tr><td>27</td><td>0.0097989960512944</td><td>0.9961792628889886</td></tr>
</tbody>
</table>
</div>
<div id="n28">
<a name="n28"></a>
<table><tr><td nowrap="nowrap" style="padding-right: 3em;"><h2>n = 28</h2></td><td><div class='anchors'> jump to n = <a href='#n2'>2</a>, <a href='#n3'>3</a>, <a href='#n4'>4</a>, <a href='#n5'>5</a>, <a href='#n6'>6</a>, <a href='#n7'>7</a>, <a href='#n8'>8</a>, <a href='#n9'>9</a>, <a href='#n10'>10</a>, <a href='#n11'>11</a>, <a href='#n12'>12</a>, <a href='#n13'>13</a>, <a href='#n14'>14</a>, <a href='#n15'>15</a>, <a href='#n16'>16</a>, <a href='#n17'>17</a>, <a href='#n18'>18</a>, <a href='#n19'>19</a>, <a href='#n20'>20</a>, <a href='#n21'>21</a>, <a href='#n22'>22</a>, <a href='#n23'>23</a>, <a href='#n24'>24</a>, <a href='#n25'>25</a>, <a href='#n26'>26</a>, <a href='#n27'>27</a>, <a href='#n28'>28</a>, <a href='#n29'>29</a>, <a href='#n30'>30</a>, <a href='#n31'>31</a>, <a href='#n32'>32</a>, <a href='#n33'>33</a>, <a href='#n34'>34</a>, <a href='#n35'>35</a>, <a href='#n36'>36</a>, <a href='#n37'>37</a>, <a href='#n38'>38</a>, <a href='#n39'>39</a>, <a href='#n40'>40</a>, <a href='#n41'>41</a>, <a href='#n42'>42</a>, <a href='#n43'>43</a>, <a href='#n44'>44</a>, <a href='#n45'>45</a>, <a href='#n46'>46</a>, <a href='#n47'>47</a>, <a href='#n48'>48</a>, <a href='#n49'>49</a>, <a href='#n50'>50</a>, <a href='#n51'>51</a>, <a href='#n52'>52</a>, <a href='#n53'>53</a>, <a href='#n54'>54</a>, <a href='#n55'>55</a>, <a href='#n56'>56</a>, <a href='#n57'>57</a>, <a href='#n58'>58</a>, <a href='#n59'>59</a>, <a href='#n60'>60</a>, <a href='#n61'>61</a>, <a href='#n62'>62</a>, <a href='#n63'>63</a>, <a href='#n64'>64</a></div>
</td></tr></table>
<table class="tbl">
<thead><tr><td><i>i</i></td><td>weight - w<sub>i</sub></td><td>abscissa - <i>x</i><sub>i</sub></td></tr></thead>
<tbody>
<tr><td>1</td><td>0.1100470130164752</td><td>-0.0550792898840343</td></tr>
<tr><td>2</td><td>0.1100470130164752</td><td>0.0550792898840343</td></tr>
<tr><td>3</td><td>0.1087111922582941</td><td>-0.1645692821333808</td></tr>
<tr><td>4</td><td>0.1087111922582941</td><td>0.1645692821333808</td></tr>
<tr><td>5</td><td>0.1060557659228464</td><td>-0.2720616276351781</td></tr>
<tr><td>6</td><td>0.1060557659228464</td><td>0.2720616276351781</td></tr>
<tr><td>7</td><td>0.1021129675780608</td><td>-0.3762515160890787</td></tr>
<tr><td>8</td><td>0.1021129675780608</td><td>0.3762515160890787</td></tr>
<tr><td>9</td><td>0.0969306579979299</td><td>-0.4758742249551183</td></tr>
<tr><td>10</td><td>0.0969306579979299</td><td>0.4758742249551183</td></tr>
<tr><td>11</td><td>0.0905717443930328</td><td>-0.5697204718114017</td></tr>
<tr><td>12</td><td>0.0905717443930328</td><td>0.5697204718114017</td></tr>
<tr><td>13</td><td>0.0831134172289012</td><td>-0.6566510940388650</td></tr>
<tr><td>14</td><td>0.0831134172289012</td><td>0.6566510940388650</td></tr>
<tr><td>15</td><td>0.0746462142345688</td><td>-0.7356108780136318</td></tr>
<tr><td>16</td><td>0.0746462142345688</td><td>0.7356108780136318</td></tr>
<tr><td>17</td><td>0.0652729239669996</td><td>-0.8056413709171791</td></tr>
<tr><td>18</td><td>0.0652729239669996</td><td>0.8056413709171791</td></tr>
<tr><td>19</td><td>0.0551073456757167</td><td>-0.8658925225743951</td></tr>
<tr><td>20</td><td>0.0551073456757167</td><td>0.8658925225743951</td></tr>
<tr><td>21</td><td>0.0442729347590042</td><td>-0.9156330263921321</td></tr>
<tr><td>22</td><td>0.0442729347590042</td><td>0.9156330263921321</td></tr>
<tr><td>23</td><td>0.0329014277823044</td><td>-0.9542592806289382</td></tr>
<tr><td>24</td><td>0.0329014277823044</td><td>0.9542592806289382</td></tr>
<tr><td>25</td><td>0.0211321125927713</td><td>-0.9813031653708727</td></tr>
<tr><td>26</td><td>0.0211321125927713</td><td>0.9813031653708727</td></tr>
<tr><td>27</td><td>0.0091242825930945</td><td>-0.9964424975739544</td></tr>
<tr><td>28</td><td>0.0091242825930945</td><td>0.9964424975739544</td></tr>
</tbody>
</table>
</div>
<div id="n29">
<a name="n29"></a>
<table><tr><td nowrap="nowrap" style="padding-right: 3em;"><h2>n = 29</h2></td><td><div class='anchors'> jump to n = <a href='#n2'>2</a>, <a href='#n3'>3</a>, <a href='#n4'>4</a>, <a href='#n5'>5</a>, <a href='#n6'>6</a>, <a href='#n7'>7</a>, <a href='#n8'>8</a>, <a href='#n9'>9</a>, <a href='#n10'>10</a>, <a href='#n11'>11</a>, <a href='#n12'>12</a>, <a href='#n13'>13</a>, <a href='#n14'>14</a>, <a href='#n15'>15</a>, <a href='#n16'>16</a>, <a href='#n17'>17</a>, <a href='#n18'>18</a>, <a href='#n19'>19</a>, <a href='#n20'>20</a>, <a href='#n21'>21</a>, <a href='#n22'>22</a>, <a href='#n23'>23</a>, <a href='#n24'>24</a>, <a href='#n25'>25</a>, <a href='#n26'>26</a>, <a href='#n27'>27</a>, <a href='#n28'>28</a>, <a href='#n29'>29</a>, <a href='#n30'>30</a>, <a href='#n31'>31</a>, <a href='#n32'>32</a>, <a href='#n33'>33</a>, <a href='#n34'>34</a>, <a href='#n35'>35</a>, <a href='#n36'>36</a>, <a href='#n37'>37</a>, <a href='#n38'>38</a>, <a href='#n39'>39</a>, <a href='#n40'>40</a>, <a href='#n41'>41</a>, <a href='#n42'>42</a>, <a href='#n43'>43</a>, <a href='#n44'>44</a>, <a href='#n45'>45</a>, <a href='#n46'>46</a>, <a href='#n47'>47</a>, <a href='#n48'>48</a>, <a href='#n49'>49</a>, <a href='#n50'>50</a>, <a href='#n51'>51</a>, <a href='#n52'>52</a>, <a href='#n53'>53</a>, <a href='#n54'>54</a>, <a href='#n55'>55</a>, <a href='#n56'>56</a>, <a href='#n57'>57</a>, <a href='#n58'>58</a>, <a href='#n59'>59</a>, <a href='#n60'>60</a>, <a href='#n61'>61</a>, <a href='#n62'>62</a>, <a href='#n63'>63</a>, <a href='#n64'>64</a></div>
</td></tr></table>
<table class="tbl">
<thead><tr><td><i>i</i></td><td>weight - w<sub>i</sub></td><td>abscissa - <i>x</i><sub>i</sub></td></tr></thead>
<tbody>
<tr><td>1</td><td>0.1064793817183142</td><td>0.0000000000000000</td></tr>
<tr><td>2</td><td>0.1058761550973209</td><td>-0.1062782301326792</td></tr>
<tr><td>3</td><td>0.1058761550973209</td><td>0.1062782301326792</td></tr>
<tr><td>4</td><td>0.1040733100777294</td><td>-0.2113522861660011</td></tr>
<tr><td>5</td><td>0.1040733100777294</td><td>0.2113522861660011</td></tr>
<tr><td>6</td><td>0.1010912737599150</td><td>-0.3140316378676399</td></tr>
<tr><td>7</td><td>0.1010912737599150</td><td>0.3140316378676399</td></tr>
<tr><td>8</td><td>0.0969638340944086</td><td>-0.4131528881740086</td></tr>
<tr><td>9</td><td>0.0969638340944086</td><td>0.4131528881740086</td></tr>
<tr><td>10</td><td>0.0917377571392588</td><td>-0.5075929551242276</td></tr>
<tr><td>11</td><td>0.0917377571392588</td><td>0.5075929551242276</td></tr>
<tr><td>12</td><td>0.0854722573661725</td><td>-0.5962817971382278</td></tr>
<tr><td>13</td><td>0.0854722573661725</td><td>0.5962817971382278</td></tr>
<tr><td>14</td><td>0.0782383271357638</td><td>-0.6782145376026865</td></tr>
<tr><td>15</td><td>0.0782383271357638</td><td>0.6782145376026865</td></tr>
<tr><td>16</td><td>0.0701179332550513</td><td>-0.7524628517344771</td></tr>
<tr><td>17</td><td>0.0701179332550513</td><td>0.7524628517344771</td></tr>
<tr><td>18</td><td>0.0612030906570791</td><td>-0.8181854876152524</td></tr>
<tr><td>19</td><td>0.0612030906570791</td><td>0.8181854876152524</td></tr>
<tr><td>20</td><td>0.0515948269024979</td><td>-0.8746378049201028</td></tr>
<tr><td>21</td><td>0.0515948269024979</td><td>0.8746378049201028</td></tr>
<tr><td>22</td><td>0.0414020625186828</td><td>-0.9211802329530587</td></tr>
<tr><td>23</td><td>0.0414020625186828</td><td>0.9211802329530587</td></tr>
<tr><td>24</td><td>0.0307404922020936</td><td>-0.9572855957780877</td></tr>
<tr><td>25</td><td>0.0307404922020936</td><td>0.9572855957780877</td></tr>
<tr><td>26</td><td>0.0197320850561227</td><td>-0.9825455052614132</td></tr>
<tr><td>27</td><td>0.0197320850561227</td><td>0.9825455052614132</td></tr>
<tr><td>28</td><td>0.0085169038787464</td><td>-0.9966794422605966</td></tr>
<tr><td>29</td><td>0.0085169038787464</td><td>0.9966794422605966</td></tr>
</tbody>
</table>
</div>
<div id="n30">
<a name="n30"></a>
<table><tr><td nowrap="nowrap" style="padding-right: 3em;"><h2>n = 30</h2></td><td><div class='anchors'> jump to n = <a href='#n2'>2</a>, <a href='#n3'>3</a>, <a href='#n4'>4</a>, <a href='#n5'>5</a>, <a href='#n6'>6</a>, <a href='#n7'>7</a>, <a href='#n8'>8</a>, <a href='#n9'>9</a>, <a href='#n10'>10</a>, <a href='#n11'>11</a>, <a href='#n12'>12</a>, <a href='#n13'>13</a>, <a href='#n14'>14</a>, <a href='#n15'>15</a>, <a href='#n16'>16</a>, <a href='#n17'>17</a>, <a href='#n18'>18</a>, <a href='#n19'>19</a>, <a href='#n20'>20</a>, <a href='#n21'>21</a>, <a href='#n22'>22</a>, <a href='#n23'>23</a>, <a href='#n24'>24</a>, <a href='#n25'>25</a>, <a href='#n26'>26</a>, <a href='#n27'>27</a>, <a href='#n28'>28</a>, <a href='#n29'>29</a>, <a href='#n30'>30</a>, <a href='#n31'>31</a>, <a href='#n32'>32</a>, <a href='#n33'>33</a>, <a href='#n34'>34</a>, <a href='#n35'>35</a>, <a href='#n36'>36</a>, <a href='#n37'>37</a>, <a href='#n38'>38</a>, <a href='#n39'>39</a>, <a href='#n40'>40</a>, <a href='#n41'>41</a>, <a href='#n42'>42</a>, <a href='#n43'>43</a>, <a href='#n44'>44</a>, <a href='#n45'>45</a>, <a href='#n46'>46</a>, <a href='#n47'>47</a>, <a href='#n48'>48</a>, <a href='#n49'>49</a>, <a href='#n50'>50</a>, <a href='#n51'>51</a>, <a href='#n52'>52</a>, <a href='#n53'>53</a>, <a href='#n54'>54</a>, <a href='#n55'>55</a>, <a href='#n56'>56</a>, <a href='#n57'>57</a>, <a href='#n58'>58</a>, <a href='#n59'>59</a>, <a href='#n60'>60</a>, <a href='#n61'>61</a>, <a href='#n62'>62</a>, <a href='#n63'>63</a>, <a href='#n64'>64</a></div>
</td></tr></table>
<table class="tbl">
<thead><tr><td><i>i</i></td><td>weight - w<sub>i</sub></td><td>abscissa - <i>x</i><sub>i</sub></td></tr></thead>
<tbody>
<tr><td>1</td><td>0.1028526528935588</td><td>-0.0514718425553177</td></tr>
<tr><td>2</td><td>0.1028526528935588</td><td>0.0514718425553177</td></tr>
<tr><td>3</td><td>0.1017623897484055</td><td>-0.1538699136085835</td></tr>
<tr><td>4</td><td>0.1017623897484055</td><td>0.1538699136085835</td></tr>
<tr><td>5</td><td>0.0995934205867953</td><td>-0.2546369261678899</td></tr>
<tr><td>6</td><td>0.0995934205867953</td><td>0.2546369261678899</td></tr>
<tr><td>7</td><td>0.0963687371746443</td><td>-0.3527047255308781</td></tr>
<tr><td>8</td><td>0.0963687371746443</td><td>0.3527047255308781</td></tr>
<tr><td>9</td><td>0.0921225222377861</td><td>-0.4470337695380892</td></tr>
<tr><td>10</td><td>0.0921225222377861</td><td>0.4470337695380892</td></tr>
<tr><td>11</td><td>0.0868997872010830</td><td>-0.5366241481420199</td></tr>
<tr><td>12</td><td>0.0868997872010830</td><td>0.5366241481420199</td></tr>
<tr><td>13</td><td>0.0807558952294202</td><td>-0.6205261829892429</td></tr>
<tr><td>14</td><td>0.0807558952294202</td><td>0.6205261829892429</td></tr>
<tr><td>15</td><td>0.0737559747377052</td><td>-0.6978504947933158</td></tr>
<tr><td>16</td><td>0.0737559747377052</td><td>0.6978504947933158</td></tr>
<tr><td>17</td><td>0.0659742298821805</td><td>-0.7677774321048262</td></tr>
<tr><td>18</td><td>0.0659742298821805</td><td>0.7677774321048262</td></tr>
<tr><td>19</td><td>0.0574931562176191</td><td>-0.8295657623827684</td></tr>
<tr><td>20</td><td>0.0574931562176191</td><td>0.8295657623827684</td></tr>
<tr><td>21</td><td>0.0484026728305941</td><td>-0.8825605357920527</td></tr>
<tr><td>22</td><td>0.0484026728305941</td><td>0.8825605357920527</td></tr>
<tr><td>23</td><td>0.0387991925696271</td><td>-0.9262000474292743</td></tr>
<tr><td>24</td><td>0.0387991925696271</td><td>0.9262000474292743</td></tr>
<tr><td>25</td><td>0.0287847078833234</td><td>-0.9600218649683075</td></tr>
<tr><td>26</td><td>0.0287847078833234</td><td>0.9600218649683075</td></tr>
<tr><td>27</td><td>0.0184664683110910</td><td>-0.9836681232797472</td></tr>
<tr><td>28</td><td>0.0184664683110910</td><td>0.9836681232797472</td></tr>
<tr><td>29</td><td>0.0079681924961666</td><td>-0.9968934840746495</td></tr>
<tr><td>30</td><td>0.0079681924961666</td><td>0.9968934840746495</td></tr>
</tbody>
</table>
</div>
<div id="n31">
<a name="n31"></a>
<table><tr><td nowrap="nowrap" style="padding-right: 3em;"><h2>n = 31</h2></td><td><div class='anchors'> jump to n = <a href='#n2'>2</a>, <a href='#n3'>3</a>, <a href='#n4'>4</a>, <a href='#n5'>5</a>, <a href='#n6'>6</a>, <a href='#n7'>7</a>, <a href='#n8'>8</a>, <a href='#n9'>9</a>, <a href='#n10'>10</a>, <a href='#n11'>11</a>, <a href='#n12'>12</a>, <a href='#n13'>13</a>, <a href='#n14'>14</a>, <a href='#n15'>15</a>, <a href='#n16'>16</a>, <a href='#n17'>17</a>, <a href='#n18'>18</a>, <a href='#n19'>19</a>, <a href='#n20'>20</a>, <a href='#n21'>21</a>, <a href='#n22'>22</a>, <a href='#n23'>23</a>, <a href='#n24'>24</a>, <a href='#n25'>25</a>, <a href='#n26'>26</a>, <a href='#n27'>27</a>, <a href='#n28'>28</a>, <a href='#n29'>29</a>, <a href='#n30'>30</a>, <a href='#n31'>31</a>, <a href='#n32'>32</a>, <a href='#n33'>33</a>, <a href='#n34'>34</a>, <a href='#n35'>35</a>, <a href='#n36'>36</a>, <a href='#n37'>37</a>, <a href='#n38'>38</a>, <a href='#n39'>39</a>, <a href='#n40'>40</a>, <a href='#n41'>41</a>, <a href='#n42'>42</a>, <a href='#n43'>43</a>, <a href='#n44'>44</a>, <a href='#n45'>45</a>, <a href='#n46'>46</a>, <a href='#n47'>47</a>, <a href='#n48'>48</a>, <a href='#n49'>49</a>, <a href='#n50'>50</a>, <a href='#n51'>51</a>, <a href='#n52'>52</a>, <a href='#n53'>53</a>, <a href='#n54'>54</a>, <a href='#n55'>55</a>, <a href='#n56'>56</a>, <a href='#n57'>57</a>, <a href='#n58'>58</a>, <a href='#n59'>59</a>, <a href='#n60'>60</a>, <a href='#n61'>61</a>, <a href='#n62'>62</a>, <a href='#n63'>63</a>, <a href='#n64'>64</a></div>
</td></tr></table>
<table class="tbl">
<thead><tr><td><i>i</i></td><td>weight - w<sub>i</sub></td><td>abscissa - <i>x</i><sub>i</sub></td></tr></thead>
<tbody>
<tr><td>1</td><td>0.0997205447934265</td><td>0.0000000000000000</td></tr>
<tr><td>2</td><td>0.0992250112266723</td><td>-0.0995553121523415</td></tr>
<tr><td>3</td><td>0.0992250112266723</td><td>0.0995553121523415</td></tr>
<tr><td>4</td><td>0.0977433353863287</td><td>-0.1981211993355706</td></tr>
<tr><td>5</td><td>0.0977433353863287</td><td>0.1981211993355706</td></tr>
<tr><td>6</td><td>0.0952902429123195</td><td>-0.2947180699817016</td></tr>
<tr><td>7</td><td>0.0952902429123195</td><td>0.2947180699817016</td></tr>
<tr><td>8</td><td>0.0918901138936415</td><td>-0.3883859016082329</td></tr>
<tr><td>9</td><td>0.0918901138936415</td><td>0.3883859016082329</td></tr>
<tr><td>10</td><td>0.0875767406084779</td><td>-0.4781937820449025</td></tr>
<tr><td>11</td><td>0.0875767406084779</td><td>0.4781937820449025</td></tr>
<tr><td>12</td><td>0.0823929917615893</td><td>-0.5632491614071493</td></tr>
<tr><td>13</td><td>0.0823929917615893</td><td>0.5632491614071493</td></tr>
<tr><td>14</td><td>0.0763903865987766</td><td>-0.6427067229242603</td></tr>
<tr><td>15</td><td>0.0763903865987766</td><td>0.6427067229242603</td></tr>
<tr><td>16</td><td>0.0696285832354104</td><td>-0.7157767845868532</td></tr>
<tr><td>17</td><td>0.0696285832354104</td><td>0.7157767845868532</td></tr>
<tr><td>18</td><td>0.0621747865610284</td><td>-0.7817331484166249</td></tr>
<tr><td>19</td><td>0.0621747865610284</td><td>0.7817331484166249</td></tr>
<tr><td>20</td><td>0.0541030824249169</td><td>-0.8399203201462674</td></tr>
<tr><td>21</td><td>0.0541030824249169</td><td>0.8399203201462674</td></tr>
<tr><td>22</td><td>0.0454937075272011</td><td>-0.8897600299482711</td></tr>
<tr><td>23</td><td>0.0454937075272011</td><td>0.8897600299482711</td></tr>
<tr><td>24</td><td>0.0364322739123855</td><td>-0.9307569978966481</td></tr>
<tr><td>25</td><td>0.0364322739123855</td><td>0.9307569978966481</td></tr>
<tr><td>26</td><td>0.0270090191849794</td><td>-0.9625039250929497</td></tr>
<tr><td>27</td><td>0.0270090191849794</td><td>0.9625039250929497</td></tr>
<tr><td>28</td><td>0.0173186207903106</td><td>-0.9846859096651525</td></tr>
<tr><td>29</td><td>0.0173186207903106</td><td>0.9846859096651525</td></tr>
<tr><td>30</td><td>0.0074708315792488</td><td>-0.9970874818194770</td></tr>
<tr><td>31</td><td>0.0074708315792488</td><td>0.9970874818194770</td></tr>
</tbody>
</table>
</div>
<div id="n32">
<a name="n32"></a>
<table><tr><td nowrap="nowrap" style="padding-right: 3em;"><h2>n = 32</h2></td><td><div class='anchors'> jump to n = <a href='#n2'>2</a>, <a href='#n3'>3</a>, <a href='#n4'>4</a>, <a href='#n5'>5</a>, <a href='#n6'>6</a>, <a href='#n7'>7</a>, <a href='#n8'>8</a>, <a href='#n9'>9</a>, <a href='#n10'>10</a>, <a href='#n11'>11</a>, <a href='#n12'>12</a>, <a href='#n13'>13</a>, <a href='#n14'>14</a>, <a href='#n15'>15</a>, <a href='#n16'>16</a>, <a href='#n17'>17</a>, <a href='#n18'>18</a>, <a href='#n19'>19</a>, <a href='#n20'>20</a>, <a href='#n21'>21</a>, <a href='#n22'>22</a>, <a href='#n23'>23</a>, <a href='#n24'>24</a>, <a href='#n25'>25</a>, <a href='#n26'>26</a>, <a href='#n27'>27</a>, <a href='#n28'>28</a>, <a href='#n29'>29</a>, <a href='#n30'>30</a>, <a href='#n31'>31</a>, <a href='#n32'>32</a>, <a href='#n33'>33</a>, <a href='#n34'>34</a>, <a href='#n35'>35</a>, <a href='#n36'>36</a>, <a href='#n37'>37</a>, <a href='#n38'>38</a>, <a href='#n39'>39</a>, <a href='#n40'>40</a>, <a href='#n41'>41</a>, <a href='#n42'>42</a>, <a href='#n43'>43</a>, <a href='#n44'>44</a>, <a href='#n45'>45</a>, <a href='#n46'>46</a>, <a href='#n47'>47</a>, <a href='#n48'>48</a>, <a href='#n49'>49</a>, <a href='#n50'>50</a>, <a href='#n51'>51</a>, <a href='#n52'>52</a>, <a href='#n53'>53</a>, <a href='#n54'>54</a>, <a href='#n55'>55</a>, <a href='#n56'>56</a>, <a href='#n57'>57</a>, <a href='#n58'>58</a>, <a href='#n59'>59</a>, <a href='#n60'>60</a>, <a href='#n61'>61</a>, <a href='#n62'>62</a>, <a href='#n63'>63</a>, <a href='#n64'>64</a></div>
</td></tr></table>
<table class="tbl">
<thead><tr><td><i>i</i></td><td>weight - w<sub>i</sub></td><td>abscissa - <i>x</i><sub>i</sub></td></tr></thead>
<tbody>
<tr><td>1</td><td>0.0965400885147278</td><td>-0.0483076656877383</td></tr>
<tr><td>2</td><td>0.0965400885147278</td><td>0.0483076656877383</td></tr>
<tr><td>3</td><td>0.0956387200792749</td><td>-0.1444719615827965</td></tr>
<tr><td>4</td><td>0.0956387200792749</td><td>0.1444719615827965</td></tr>
<tr><td>5</td><td>0.0938443990808046</td><td>-0.2392873622521371</td></tr>
<tr><td>6</td><td>0.0938443990808046</td><td>0.2392873622521371</td></tr>
<tr><td>7</td><td>0.0911738786957639</td><td>-0.3318686022821277</td></tr>
<tr><td>8</td><td>0.0911738786957639</td><td>0.3318686022821277</td></tr>
<tr><td>9</td><td>0.0876520930044038</td><td>-0.4213512761306353</td></tr>
<tr><td>10</td><td>0.0876520930044038</td><td>0.4213512761306353</td></tr>
<tr><td>11</td><td>0.0833119242269467</td><td>-0.5068999089322294</td></tr>
<tr><td>12</td><td>0.0833119242269467</td><td>0.5068999089322294</td></tr>
<tr><td>13</td><td>0.0781938957870703</td><td>-0.5877157572407623</td></tr>
<tr><td>14</td><td>0.0781938957870703</td><td>0.5877157572407623</td></tr>
<tr><td>15</td><td>0.0723457941088485</td><td>-0.6630442669302152</td></tr>
<tr><td>16</td><td>0.0723457941088485</td><td>0.6630442669302152</td></tr>
<tr><td>17</td><td>0.0658222227763618</td><td>-0.7321821187402897</td></tr>
<tr><td>18</td><td>0.0658222227763618</td><td>0.7321821187402897</td></tr>
<tr><td>19</td><td>0.0586840934785355</td><td>-0.7944837959679424</td></tr>
<tr><td>20</td><td>0.0586840934785355</td><td>0.7944837959679424</td></tr>
<tr><td>21</td><td>0.0509980592623762</td><td>-0.8493676137325700</td></tr>
<tr><td>22</td><td>0.0509980592623762</td><td>0.8493676137325700</td></tr>
<tr><td>23</td><td>0.0428358980222267</td><td>-0.8963211557660521</td></tr>
<tr><td>24</td><td>0.0428358980222267</td><td>0.8963211557660521</td></tr>
<tr><td>25</td><td>0.0342738629130214</td><td>-0.9349060759377397</td></tr>
<tr><td>26</td><td>0.0342738629130214</td><td>0.9349060759377397</td></tr>
<tr><td>27</td><td>0.0253920653092621</td><td>-0.9647622555875064</td></tr>
<tr><td>28</td><td>0.0253920653092621</td><td>0.9647622555875064</td></tr>
<tr><td>29</td><td>0.0162743947309057</td><td>-0.9856115115452684</td></tr>
<tr><td>30</td><td>0.0162743947309057</td><td>0.9856115115452684</td></tr>
<tr><td>31</td><td>0.0070186100094701</td><td>-0.9972638618494816</td></tr>
<tr><td>32</td><td>0.0070186100094701</td><td>0.9972638618494816</td></tr>
</tbody>
</table>
</div>
<div id="n33">
<a name="n33"></a>
<table><tr><td nowrap="nowrap" style="padding-right: 3em;"><h2>n = 33</h2></td><td><div class='anchors'> jump to n = <a href='#n2'>2</a>, <a href='#n3'>3</a>, <a href='#n4'>4</a>, <a href='#n5'>5</a>, <a href='#n6'>6</a>, <a href='#n7'>7</a>, <a href='#n8'>8</a>, <a href='#n9'>9</a>, <a href='#n10'>10</a>, <a href='#n11'>11</a>, <a href='#n12'>12</a>, <a href='#n13'>13</a>, <a href='#n14'>14</a>, <a href='#n15'>15</a>, <a href='#n16'>16</a>, <a href='#n17'>17</a>, <a href='#n18'>18</a>, <a href='#n19'>19</a>, <a href='#n20'>20</a>, <a href='#n21'>21</a>, <a href='#n22'>22</a>, <a href='#n23'>23</a>, <a href='#n24'>24</a>, <a href='#n25'>25</a>, <a href='#n26'>26</a>, <a href='#n27'>27</a>, <a href='#n28'>28</a>, <a href='#n29'>29</a>, <a href='#n30'>30</a>, <a href='#n31'>31</a>, <a href='#n32'>32</a>, <a href='#n33'>33</a>, <a href='#n34'>34</a>, <a href='#n35'>35</a>, <a href='#n36'>36</a>, <a href='#n37'>37</a>, <a href='#n38'>38</a>, <a href='#n39'>39</a>, <a href='#n40'>40</a>, <a href='#n41'>41</a>, <a href='#n42'>42</a>, <a href='#n43'>43</a>, <a href='#n44'>44</a>, <a href='#n45'>45</a>, <a href='#n46'>46</a>, <a href='#n47'>47</a>, <a href='#n48'>48</a>, <a href='#n49'>49</a>, <a href='#n50'>50</a>, <a href='#n51'>51</a>, <a href='#n52'>52</a>, <a href='#n53'>53</a>, <a href='#n54'>54</a>, <a href='#n55'>55</a>, <a href='#n56'>56</a>, <a href='#n57'>57</a>, <a href='#n58'>58</a>, <a href='#n59'>59</a>, <a href='#n60'>60</a>, <a href='#n61'>61</a>, <a href='#n62'>62</a>, <a href='#n63'>63</a>, <a href='#n64'>64</a></div>
</td></tr></table>
<table class="tbl">
<thead><tr><td><i>i</i></td><td>weight - w<sub>i</sub></td><td>abscissa - <i>x</i><sub>i</sub></td></tr></thead>
<tbody>
<tr><td>1</td><td>0.0937684461602100</td><td>0.0000000000000000</td></tr>
<tr><td>2</td><td>0.0933564260655961</td><td>-0.0936310658547334</td></tr>