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html/index.html

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@@ -24,7 +24,7 @@ <h2>
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University of Warwick, U.K.</h2>
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<p>
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<i>
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Updated <a href="https://raw.githubusercontent.com/JohnCremona/ecdata/master/doc/release_notes.md">2015-10-31</a> (last major update 2015-10-31)
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Updated <a href="https://raw.githubusercontent.com/JohnCremona/ecdata/master/doc/release_notes.md">2016-02-07</a> (last major update 2016-02-07)
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</i>
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</p>
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</center>
@@ -92,7 +92,7 @@ <h2>
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</p>
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<p>
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The tables currently contain data for conductors up to <b>370000</b>.
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The tables currently contain data for conductors up to <b>380000</b>.
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</p>
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@@ -183,6 +183,7 @@ <h3>
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<option value="https://raw.githubusercontent.com/JohnCremona/ecdata/master/count/count.340000-349999">340000-349999</option>
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<option value="https://raw.githubusercontent.com/JohnCremona/ecdata/master/count/count.350000-359999">350000-359999</option>
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<option value="https://raw.githubusercontent.com/JohnCremona/ecdata/master/count/count.360000-369999">360000-369999</option>
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<option value="https://raw.githubusercontent.com/JohnCremona/ecdata/master/count/count.370000-379999">370000-379999</option>
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</select>
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<input type=button value="Fetch" onClick="JumpToIt(this.form)">
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</form>
@@ -243,6 +244,7 @@ <h3>
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<option value="https://raw.githubusercontent.com/JohnCremona/ecdata/master/allcurves/allcurves.340000-349999">340000-349999</option>
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<option value="https://raw.githubusercontent.com/JohnCremona/ecdata/master/allcurves/allcurves.350000-359999">350000-359999</option>
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<option value="https://raw.githubusercontent.com/JohnCremona/ecdata/master/allcurves/allcurves.360000-369999">360000-369999</option>
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<option value="https://raw.githubusercontent.com/JohnCremona/ecdata/master/allcurves/allcurves.370000-379999">370000-379999</option>
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</select>
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<input type=button value="Fetch" onClick="JumpToIt(this.form)">
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</form>
@@ -353,6 +355,7 @@ <h3>
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<option value="https://raw.githubusercontent.com/JohnCremona/ecdata/master/allgens/allgens.340000-349999">340000-349999</option>
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<option value="https://raw.githubusercontent.com/JohnCremona/ecdata/master/allgens/allgens.350000-359999">350000-359999</option>
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<option value="https://raw.githubusercontent.com/JohnCremona/ecdata/master/allgens/allgens.360000-369999">360000-369999</option>
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<option value="https://raw.githubusercontent.com/JohnCremona/ecdata/master/allgens/allgens.370000-379999">370000-379999</option>
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</select>
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<input type=button value="Fetch" onClick="JumpToIt(this.form)">
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</form>
@@ -451,6 +454,7 @@ <h3>
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<option value="https://raw.githubusercontent.com/JohnCremona/ecdata/master/aplist/aplist.340000-349999">340000-349999</option>
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<option value="https://raw.githubusercontent.com/JohnCremona/ecdata/master/aplist/aplist.350000-359999">350000-359999</option>
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<option value="https://raw.githubusercontent.com/JohnCremona/ecdata/master/aplist/aplist.360000-369999">360000-369999</option>
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<option value="https://raw.githubusercontent.com/JohnCremona/ecdata/master/aplist/aplist.370000-379999">370000-379999</option>
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</select>
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<input type=button value="Fetch" onClick="JumpToIt(this.form)">
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</form>
@@ -547,6 +551,7 @@ <h3>
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<option value="https://raw.githubusercontent.com/JohnCremona/ecdata/master/allbsd/allbsd.340000-349999">340000-349999</option>
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<option value="https://raw.githubusercontent.com/JohnCremona/ecdata/master/allbsd/allbsd.350000-359999">350000-359999</option>
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<option value="https://raw.githubusercontent.com/JohnCremona/ecdata/master/allbsd/allbsd.360000-369999">360000-369999</option>
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<option value="https://raw.githubusercontent.com/JohnCremona/ecdata/master/allbsd/allbsd.370000-379999">370000-379999</option>
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</select>
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<input type=button value="Fetch" onClick="JumpToIt(this.form)">
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</form>
@@ -627,20 +632,21 @@ <h3>
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<option value="https://raw.githubusercontent.com/JohnCremona/ecdata/master/allbigsha/allbigsha.340000-349999">340000-349999</option>
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<option value="https://raw.githubusercontent.com/JohnCremona/ecdata/master/allbigsha/allbigsha.350000-359999">350000-359999</option>
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<option value="https://raw.githubusercontent.com/JohnCremona/ecdata/master/allbigsha/allbigsha.360000-369999">360000-369999</option>
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<option value="https://raw.githubusercontent.com/JohnCremona/ecdata/master/allbigsha/allbigsha.370000-379999">370000-379999</option>
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</select>
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<input type=button value="Fetch" onClick="JumpToIt(this.form)">
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</form>
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Lists of the curves with non-trivial Tate-Shafarevich group, according
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to the BSD conjecture; i.e., curves whose "analytic order of Sha" is
635-
greater than 1. The record (to conductor 370000) is 5625=75<sup>2</sup>
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greater than 1. The record (to conductor 380000) is 5625=75<sup>2</sup>
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for 165066d3.
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</li>
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<br>
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<li>
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<a href="shas.html">shas.html</a><br>
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A summary table of large Shas. Note that up to conductor 370000
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there are 176673 elliptic curves with non-trivial Sha, with ranks 0
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(162630 curves), 1 (14030 curves), 2 (13 curves, all with
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A summary table of large Shas. Note that up to conductor 380000
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there are 181791 elliptic curves with non-trivial Sha, with ranks 0
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(167270 curves), 1 (14506 curves), 2 (15 curves, all with
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2-torsion).
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</li></ul>
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<option value="https://raw.githubusercontent.com/JohnCremona/ecdata/master/degphi/degphi.340000-349999">340000-349999</option>
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<option value="https://raw.githubusercontent.com/JohnCremona/ecdata/master/degphi/degphi.350000-359999">350000-359999</option>
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<option value="https://raw.githubusercontent.com/JohnCremona/ecdata/master/degphi/degphi.360000-369999">360000-369999</option>
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<option value="https://raw.githubusercontent.com/JohnCremona/ecdata/master/degphi/degphi.370000-379999">370000-379999</option>
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</select>
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<input type=button value="Fetch" onClick="JumpToIt(this.form)">
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</form>
@@ -750,6 +757,7 @@ <h3>
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<option value="https://raw.githubusercontent.com/JohnCremona/ecdata/master/alldegphi/alldegphi.340000-349999">340000-349999</option>
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<option value="https://raw.githubusercontent.com/JohnCremona/ecdata/master/alldegphi/alldegphi.350000-359999">350000-359999</option>
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<option value="https://raw.githubusercontent.com/JohnCremona/ecdata/master/alldegphi/alldegphi.360000-369999">360000-369999</option>
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<option value="https://raw.githubusercontent.com/JohnCremona/ecdata/master/alldegphi/alldegphi.370000-379999">370000-379999</option>
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</select>
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<input type=button value="Fetch" onClick="JumpToIt(this.form)">
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</form>
@@ -818,6 +826,7 @@ <h3>
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<option value="https://raw.githubusercontent.com/JohnCremona/ecdata/master/allisog/allisog.340000-349999">340000-349999</option>
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<option value="https://raw.githubusercontent.com/JohnCremona/ecdata/master/allisog/allisog.350000-359999">350000-359999</option>
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<option value="https://raw.githubusercontent.com/JohnCremona/ecdata/master/allisog/allisog.360000-369999">360000-369999</option>
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<option value="https://raw.githubusercontent.com/JohnCremona/ecdata/master/allisog/allisog.370000-379999">370000-379999</option>
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</select>
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<input type=button value="Fetch" onClick="JumpToIt(this.form)">
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</form>
@@ -888,6 +897,7 @@ <h3>
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<option value="https://raw.githubusercontent.com/JohnCremona/ecdata/master/intpts/intpts.340000-349999">340000-349999</option>
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<option value="https://raw.githubusercontent.com/JohnCremona/ecdata/master/intpts/intpts.350000-359999">350000-359999</option>
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<option value="https://raw.githubusercontent.com/JohnCremona/ecdata/master/intpts/intpts.360000-369999">360000-369999</option>
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<option value="https://raw.githubusercontent.com/JohnCremona/ecdata/master/intpts/intpts.370000-379999">370000-379999</option>
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</select>
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<input type=button value="Fetch" onClick="JumpToIt(this.form)">
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</form>
@@ -974,6 +984,7 @@ <h3>
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<option value="https://raw.githubusercontent.com/JohnCremona/ecdata/master/optimality/optimality.34">340000-349999</option>
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<option value="https://raw.githubusercontent.com/JohnCremona/ecdata/master/optimality/optimality.35">350000-359999</option>
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<option value="https://raw.githubusercontent.com/JohnCremona/ecdata/master/optimality/optimality.36">360000-369999</option>
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<option value="https://raw.githubusercontent.com/JohnCremona/ecdata/master/optimality/optimality.37">370000-379999</option>
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</select>
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<input type=button value="Fetch" onClick="JumpToIt(this.form)">
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</form>
@@ -1039,6 +1050,7 @@ <h3>
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<option value="https://raw.githubusercontent.com/JohnCremona/ecdata/master/galrep/galrep.340000-349999">340000-349999</option>
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<option value="https://raw.githubusercontent.com/JohnCremona/ecdata/master/galrep/galrep.350000-359999">350000-359999</option>
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<option value="https://raw.githubusercontent.com/JohnCremona/ecdata/master/galrep/galrep.360000-369999">360000-369999</option>
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<option value="https://raw.githubusercontent.com/JohnCremona/ecdata/master/galrep/galrep.370000-379999">370000-379999</option>
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</select>
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<input type=button value="Fetch" onClick="JumpToIt(this.form)">
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</form>
@@ -1121,6 +1133,7 @@ <h3>
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<option value="https://raw.githubusercontent.com/JohnCremona/ecdata/master/2adic/2adic.340000-349999">340000-349999</option>
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<option value="https://raw.githubusercontent.com/JohnCremona/ecdata/master/2adic/2adic.350000-359999">350000-359999</option>
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<option value="https://raw.githubusercontent.com/JohnCremona/ecdata/master/2adic/2adic.360000-369999">360000-369999</option>
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<option value="https://raw.githubusercontent.com/JohnCremona/ecdata/master/2adic/2adic.370000-379999">370000-379999</option>
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</select>
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<input type=button value="Fetch" onClick="JumpToIt(this.form)">
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</form>
@@ -1161,8 +1174,8 @@ <h3>
11611174

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<hr>
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<p><b>Recent update
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notes</b>:&nbsp; <a href="https://raw.githubusercontent.com/JohnCremona/ecdata/master/doc/release_notes.md">31
1165-
October 2015</a>
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notes</b>:&nbsp; <a href="https://raw.githubusercontent.com/JohnCremona/ecdata/master/doc/release_notes.md">7
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February 2016</a>
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</p><hr>
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<tt>john dot cremona at gmail dot com</tt>

html/shas.html

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@@ -25,27 +25,27 @@ <H3 align=center>
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</thead>
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<tfoot >
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<tr>
28-
<th align=right>1-369999</th>
29-
<td align=right>176673</td>
30-
<td align=right>115485</td>
31-
<td align=right>36788</td>
32-
<td align=right>12961</td>
33-
<td align=right>6157</td>
34-
<td align=right>1637</td>
35-
<td align=right>1538</td>
36-
<td align=right>925</td>
37-
<td align=right>386</td>
38-
<td align=right>204</td>
39-
<td align=right>218</td>
40-
<td align=right>88</td>
41-
<td align=right>101</td>
42-
<td align=right>36</td>
43-
<td align=right>28</td>
28+
<th align=right>1-379999</th>
29+
<td align=right>181791</td>
30+
<td align=right>118805</td>
31+
<td align=right>37884</td>
32+
<td align=right>13334</td>
33+
<td align=right>6322</td>
34+
<td align=right>1700</td>
35+
<td align=right>1579</td>
36+
<td align=right>946</td>
37+
<td align=right>400</td>
38+
<td align=right>214</td>
39+
<td align=right>222</td>
40+
<td align=right>89</td>
41+
<td align=right>104</td>
42+
<td align=right>37</td>
43+
<td align=right>29</td>
4444
<td align=right>30</td>
45-
<td align=right>18</td>
45+
<td align=right>21</td>
4646
<td align=right>2</td>
4747
<td align=right>18</td>
48-
<td align=right>10</td>
48+
<td align=right>11</td>
4949
<td align=right>3</td>
5050
<td align=right>2</td>
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<td align=right>11</td>
@@ -56,7 +56,7 @@ <H3 align=center>
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<td align=right>4</td>
5757
<td align=right>2</td>
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<td align=right>0</td>
59-
<td align=right>1</td>
59+
<td align=right>2</td>
6060
<td align=right>1</td>
6161
<td align=right>1</td>
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<td align=right>1</td>
@@ -1474,6 +1474,44 @@ <H3 align=center>
14741474
<td align=right>&nbsp;</td>
14751475
<td align=right>&nbsp;</td>
14761476
</tr>
1477+
<tr>
1478+
<th align=right>370000-379999</th>
1479+
<td align=right>5118</td>
1480+
<td align=right>3320</td>
1481+
<td align=right>1096</td>
1482+
<td align=right>373</td>
1483+
<td align=right>165</td>
1484+
<td align=right>63</td>
1485+
<td align=right>41</td>
1486+
<td align=right>21</td>
1487+
<td align=right>14</td>
1488+
<td align=right>10</td>
1489+
<td align=right>4</td>
1490+
<td align=right>1</td>
1491+
<td align=right>3</td>
1492+
<td align=right>1</td>
1493+
<td align=right>1</td>
1494+
<td align=right>&nbsp;</td>
1495+
<td align=right>3</td>
1496+
<td align=right>&nbsp;</td>
1497+
<td align=right>&nbsp;</td>
1498+
<td align=right>1</td>
1499+
<td align=right>&nbsp;</td>
1500+
<td align=right>&nbsp;</td>
1501+
<td align=right>&nbsp;</td>
1502+
<td align=right>&nbsp;</td>
1503+
<td align=right>&nbsp;</td>
1504+
<td align=right>&nbsp;</td>
1505+
<td align=right>&nbsp;</td>
1506+
<td align=right>&nbsp;</td>
1507+
<td align=right>&nbsp;</td>
1508+
<td align=right>&nbsp;</td>
1509+
<td align=right>1</td>
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<td align=right>&nbsp;</td>
1511+
<td align=right>&nbsp;</td>
1512+
<td align=right>&nbsp;</td>
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<td align=right>&nbsp;</td>
1514+
</tr>
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</tbody>
14781516
</table>
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<br>
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14951533
<tfoot >
14961534
<tr>
14971535
<th align=right>all ranks</th>
1498-
<td align=right>176673</td>
1499-
<td align=right>115485</td>
1500-
<td align=right>36788</td>
1501-
<td align=right>12961</td>
1502-
<td align=right>6157</td>
1503-
<td align=right>1637</td>
1504-
<td align=right>1538</td>
1505-
<td align=right>925</td>
1506-
<td align=right>386</td>
1507-
<td align=right>204</td>
1508-
<td align=right>218</td>
1509-
<td align=right>88</td>
1510-
<td align=right>101</td>
1511-
<td align=right>36</td>
1512-
<td align=right>28</td>
1536+
<td align=right>181791</td>
1537+
<td align=right>118805</td>
1538+
<td align=right>37884</td>
1539+
<td align=right>13334</td>
1540+
<td align=right>6322</td>
1541+
<td align=right>1700</td>
1542+
<td align=right>1579</td>
1543+
<td align=right>946</td>
1544+
<td align=right>400</td>
1545+
<td align=right>214</td>
1546+
<td align=right>222</td>
1547+
<td align=right>89</td>
1548+
<td align=right>104</td>
1549+
<td align=right>37</td>
1550+
<td align=right>29</td>
15131551
<td align=right>30</td>
1514-
<td align=right>18</td>
1552+
<td align=right>21</td>
15151553
<td align=right>2</td>
15161554
<td align=right>18</td>
1517-
<td align=right>10</td>
1555+
<td align=right>11</td>
15181556
<td align=right>3</td>
15191557
<td align=right>2</td>
15201558
<td align=right>11</td>
@@ -1525,7 +1563,7 @@ <H3 align=center>
15251563
<td align=right>4</td>
15261564
<td align=right>2</td>
15271565
<td align=right>0</td>
1528-
<td align=right>1</td>
1566+
<td align=right>2</td>
15291567
<td align=right>1</td>
15301568
<td align=right>1</td>
15311569
<td align=right>1</td>
@@ -1539,26 +1577,26 @@ <H3 align=center>
15391577
<tbody>
15401578
<tr>
15411579
<th align=right>r=0</th>
1542-
<td align=right>162630</td>
1543-
<td align=right>102687</td>
1544-
<td align=right>35836</td>
1545-
<td align=right>12740</td>
1546-
<td align=right>6097</td>
1547-
<td align=right>1636</td>
1548-
<td align=right>1530</td>
1549-
<td align=right>922</td>
1550-
<td align=right>386</td>
1551-
<td align=right>204</td>
1552-
<td align=right>218</td>
1553-
<td align=right>88</td>
1554-
<td align=right>101</td>
1555-
<td align=right>36</td>
1556-
<td align=right>28</td>
1580+
<td align=right>167270</td>
1581+
<td align=right>105583</td>
1582+
<td align=right>36886</td>
1583+
<td align=right>13109</td>
1584+
<td align=right>6259</td>
1585+
<td align=right>1699</td>
1586+
<td align=right>1570</td>
1587+
<td align=right>943</td>
1588+
<td align=right>400</td>
1589+
<td align=right>214</td>
1590+
<td align=right>222</td>
1591+
<td align=right>89</td>
1592+
<td align=right>104</td>
1593+
<td align=right>37</td>
1594+
<td align=right>29</td>
15571595
<td align=right>30</td>
1558-
<td align=right>18</td>
1596+
<td align=right>21</td>
15591597
<td align=right>2</td>
15601598
<td align=right>18</td>
1561-
<td align=right>10</td>
1599+
<td align=right>11</td>
15621600
<td align=right>3</td>
15631601
<td align=right>2</td>
15641602
<td align=right>11</td>
@@ -1569,21 +1607,21 @@ <H3 align=center>
15691607
<td align=right>4</td>
15701608
<td align=right>2</td>
15711609
<td align=right>&nbsp;</td>
1572-
<td align=right>1</td>
1610+
<td align=right>2</td>
15731611
<td align=right>1</td>
15741612
<td align=right>1</td>
15751613
<td align=right>1</td>
15761614
<td align=right>1</td>
15771615
</tr>
15781616
<tr>
15791617
<th align=right>r=1</th>
1580-
<td align=right>14030</td>
1581-
<td align=right>12785</td>
1582-
<td align=right>952</td>
1583-
<td align=right>221</td>
1584-
<td align=right>60</td>
1618+
<td align=right>14506</td>
1619+
<td align=right>13207</td>
1620+
<td align=right>998</td>
1621+
<td align=right>225</td>
1622+
<td align=right>63</td>
15851623
<td align=right>1</td>
1586-
<td align=right>8</td>
1624+
<td align=right>9</td>
15871625
<td align=right>3</td>
15881626
<td align=right>&nbsp;</td>
15891627
<td align=right>&nbsp;</td>
@@ -1615,8 +1653,8 @@ <H3 align=center>
16151653
</tr>
16161654
<tr>
16171655
<th align=right>r=2</th>
1618-
<td align=right>13</td>
1619-
<td align=right>13</td>
1656+
<td align=right>15</td>
1657+
<td align=right>15</td>
16201658
<td align=right>&nbsp;</td>
16211659
<td align=right>&nbsp;</td>
16221660
<td align=right>&nbsp;</td>

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