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List: kstars-devel
Subject: Optimal Exposure and Noise Calculator
From: "joseph.mcgee () sbcglobal ! net" <joseph ! mcgee () sbcglobal ! net>
Date: 2023-03-03 17:16:09
Message-ID: 1fbb5bde-1e74-ab97-c24a-07091ad9b36e () sbcglobal ! net
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Hi All,
I'm a retired software developer (mostly Java, C, and some C++). I've
been using KStars on a Raspberry Pi (Ubuntu), since I got interested in
AP, (around 2020). Back in late 2021 I wrote an optimal exposure time
calculator (in Java), based on the work of Dr Glover. I just got to
thinking that it might be a nice addition to KStars, and today I found a
request for it:
https://indilib.org/forum/wish-list/5300-exposure-calulator.html?start=12
My current code is pretty simple but has no user interface. It uses a
few classes for configuration, a table of sensor gain to read noise,
observation site location SQM value, optics F ratio data, and
(experimentally) a filter bandpass table. The code just iterates
through all the combinations of the inputs to output tab delimited data
to the console, that I copy into a spreadsheet.
Keep in mind that the exposure time calculations are optimal (per Dr
Glover), but not necessarily practical. I've seen a slow optic, with a
filter, in very dark skies, produce a optimal sub exposure time
calculation that exceeded 3 hours.
If this were integrated into KStars, we would obviously need to provide
a means for a user to input some of their own configuration information.
Please let me know if you'd like to consider integrating this into
KStars, (I would need coaching/help if I were to take this on).
Example output:
I have my code configured for the read noise for my main imaging camera,
(a ZWO ASI-071 Color), SQM data for four observation sites. F ratios
for four optics, and bandpass info for two filters. And I'm using an
allowable noise increase of 5%.
A small section of the output provides this information for a given
site, optic, and sensor gain selection:
*Site Name:*
Chuchupate
*Sky Quality:*
21.65
magnitude per arc-second2
*Light Pollution Base Rate:*
19.6
e per second
*Optic Name:*
Esprit 100
*Light Pollution Rate:*
0.65
e per second for f/5.5 optic
*Camera Sensor Gain:*
50
*Read Noise:*
2.78
*Filter*
*Optimal Sub-exposure (sec)*
*Shot pollution electrons*
*Exposure shot noise*
*Exposure total noise*
No Filter
349.1
226.2
15
15.3
Optolong l-Pro
634.8
411.3
20.3
20.5
Optolong l-Enhance
3174
2056.3
45.3
45.4
And accumulated data for imaging sessions of 1 to 5 hours:
*3,600.00 seconds*
*7,200.00 seconds*
*10,800.00 seconds*
*14,400.00 seconds*
*18,000.00 seconds*
*Filter*
*Exposure Count*
*Stack Total Time*
*Stack total noise*
*Exposure Count*
*Stack Total Time*
*Stack total noise*
*Exposure Count*
*Stack Total Time*
*Stack total noise*
*Exposure Count*
*Stack Total Time*
*Stack total noise*
*Exposure Count*
*Stack Total Time*
*Stack total noise*
No Filter
10
3491.44
48.37
21
7332.03
70.09
31
10823.47
85.16
41
14314.92
97.93
52
18155.51
110.29
Optolong l-Pro
6
3808.85
50.14
11
6982.89
67.89
17
10791.73
84.4
23
14600.58
98.17
28
17774.62
108.31
Optolong l-Enhance
1
3174.04
45.43
2
6348.08
64.25
3
9522.12
78.69
5
15870.2
101.59
6
19044.24
111.29
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<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
</head>
<body>
<p>Hi All,</p>
<p>I'm a retired software developer (mostly Java, C, and some C++).
I've been using KStars on a Raspberry Pi (Ubuntu), since I got
interested in AP, (around 2020). Back in late 2021 I wrote an
optimal exposure time calculator (in Java), based on the work of
Dr Glover. I just got to thinking that it might be a nice
addition to KStars, and today I found a request for it:
<a class="moz-txt-link-freetext" \
href="https://indilib.org/forum/wish-list/5300-exposure-calulator.html?start=12">https://indilib.org/forum/wish-list/5300-exposure-calulator.html?start=12</a></p>
<p>My current code is pretty simple but has no user interface. It
uses a few classes for configuration, a table of sensor gain to
read noise, observation site location SQM value, optics F ratio
data, and (experimentally) a filter bandpass table. The code just
iterates through all the combinations of the inputs to output tab
delimited data to the console, that I copy into a spreadsheet.</p>
<p>Keep in mind that the exposure time calculations are optimal (per
Dr Glover), but not necessarily practical. I've seen a slow
optic, with a filter, in very dark skies, produce a optimal sub
exposure time calculation that exceeded 3 hours.<br>
</p>
<p>If this were integrated into KStars, we would obviously need to
provide a means for a user to input some of their own
configuration information.<br>
</p>
<p>Please let me know if you'd like to consider integrating this
into KStars, (I would need coaching/help if I were to take this
on). <br>
</p>
<p>Example output:<br>
</p>
<p>I have my code configured for the read noise for my main imaging
camera, (a ZWO ASI-071 Color), SQM data for four observation
sites. F ratios for four optics, and bandpass info for two
filters. And I'm using an allowable noise increase of 5%.<br>
</p>
<p>A small section of the output provides this information for a
given site, optic, and sensor gain selection:<br>
</p>
<p> </p>
<br>
<table width="635" cellspacing="0" cellpadding="2">
<colgroup><col width="192"> <col width="140"> <col width="291">
</colgroup><tbody>
<tr valign="bottom">
<td style="border: none; padding: 0in" width="192" height="13">
<p align="left"> <br>
</p>
</td>
<td style="border: none; padding: 0in" width="140">
<p align="left"><br>
</p>
</td>
<td style="border: none; padding: 0in" width="291">
<p align="left"><br>
</p>
</td>
</tr>
<tr valign="bottom">
<td style="border: none; padding: 0in" width="192" height="13">
<p align="left"> <font face="Andale Mono"><font
style="font-size: 8pt" size="1"><b>Site Name:</b></font></font></p>
</td>
<td style="border: none; padding: 0in" width="140">
<p align="center"> <font face="Andale Mono"><font
style="font-size: 8pt" size="1">Chuchupate</font></font></p>
</td>
<td style="border: none; padding: 0in" width="291">
<p align="left"><br>
</p>
</td>
</tr>
<tr valign="bottom">
<td style="border: none; padding: 0in" width="192" height="13">
<p align="left"> <font face="Andale Mono"><font
style="font-size: 8pt" size="1"><b>Sky \
Quality:</b></font></font></p> </td>
<td style="border: none; padding: 0in" width="140">
<p align="center"> <font face="Andale Mono"><font
style="font-size: 8pt" size="1">21.65</font></font></p>
</td>
<td style="border: none; padding: 0in" width="291">
<p align="left"> <font face="Andale Mono"><font
style="font-size: 8pt" size="1">magnitude per
arc-second2</font></font></p>
</td>
</tr>
<tr valign="bottom">
<td style="border: none; padding: 0in" width="192" height="13">
<p align="left"> <font face="Andale Mono"><font
style="font-size: 8pt" size="1"><b>Light Pollution
Base Rate:</b></font></font></p>
</td>
<td style="border: none; padding: 0in" width="140">
<p align="center"> <font face="Andale Mono"><font
style="font-size: 8pt" size="1">19.6</font></font></p>
</td>
<td style="border: none; padding: 0in" width="291">
<p align="left"> <font face="Andale Mono"><font
style="font-size: 8pt" size="1">e per second</font></font></p>
</td>
</tr>
<tr valign="bottom">
<td style="border: none; padding: 0in" width="192" height="13">
<p align="left"> <br>
</p>
</td>
<td style="border: none; padding: 0in" width="140">
<p align="left"><br>
</p>
</td>
<td style="border: none; padding: 0in" width="291">
<p align="left"><br>
</p>
</td>
</tr>
</tbody>
</table>
<p style="line-height: 100%; margin-bottom: 0in"><br>
</p>
<br>
<table width="631" cellspacing="0" cellpadding="2">
<colgroup><col width="190"> <col width="197"> <col width="232">
</colgroup><tbody>
<tr valign="bottom">
<td style="border: none; padding: 0in" width="190" height="13">
<p align="left"> <font face="Andale Mono"><font
style="font-size: 8pt" size="1"><b>Optic \
Name:</b></font></font></p> </td>
<td style="border: none; padding: 0in" width="197">
<p align="center"> <font face="Andale Mono"><font
style="font-size: 8pt" size="1">Esprit 100</font></font></p>
</td>
<td style="border: none; padding: 0in" width="232">
<p align="left"><br>
</p>
</td>
</tr>
<tr valign="bottom">
<td style="border: none; padding: 0in" width="190" height="13">
<p align="left"> <font face="Andale Mono"><font
style="font-size: 8pt" size="1"><b>Light Pollution
Rate:</b></font></font></p>
</td>
<td style="border: none; padding: 0in" width="197">
<p align="center"> <font face="Andale Mono"><font
style="font-size: 8pt" size="1">0.65</font></font></p>
</td>
<td style="border: none; padding: 0in" width="232">
<p align="left"> <font face="Andale Mono"><font
style="font-size: 8pt" size="1">e per second for f/5.5
optic</font></font></p>
</td>
</tr>
</tbody>
</table>
<p style="line-height: 100%; margin-bottom: 0in"><br>
</p>
<br>
<table width="438" cellspacing="0" cellpadding="2">
<colgroup><col width="199"> <col width="232"> </colgroup><tbody>
<tr valign="bottom">
<td style="border: none; padding: 0in" width="199" height="13">
<p align="left"> <font face="Andale Mono"><font
style="font-size: 8pt" size="1"><b>Camera Sensor \
Gain:</b></font></font></p> </td>
<td style="border: none; padding: 0in" width="232">
<p align="center"> <font face="Andale Mono"><font
style="font-size: 8pt" size="1">50</font></font></p>
</td>
</tr>
<tr valign="bottom">
<td style="border: none; padding: 0in" width="199" height="13">
<p align="left"> <font face="Andale Mono"><font
style="font-size: 8pt" size="1"><b>Read \
Noise:</b></font></font></p> </td>
<td style="border: none; padding: 0in" width="232">
<p align="center"> <font face="Andale Mono"><font
style="font-size: 8pt" size="1">2.78</font></font></p>
</td>
</tr>
</tbody>
</table>
<p style="line-height: 100%; margin-bottom: 0in"><br>
</p>
<br>
<table width="986" cellspacing="0" cellpadding="2">
<colgroup><col width="234"> <col width="213"> <col width="184">
<col width="165"> <col width="170"> </colgroup><tbody>
<tr valign="bottom">
<td style="border: none; padding: 0in" width="234" height="13">
<p align="left"> <font face="Andale Mono"><font
style="font-size: 8pt" size="1"><b>Filter</b></font></font></p>
</td>
<td style="border: none; padding: 0in" width="213">
<p align="center"> <font face="Andale Mono"><font
style="font-size: 8pt" size="1"><b>Optimal
Sub-exposure (sec)</b></font></font></p>
</td>
<td style="border: none; padding: 0in" width="184">
<p align="center"> <font face="Andale Mono"><font
style="font-size: 8pt" size="1"><b>Shot pollution
electrons</b></font></font></p>
</td>
<td style="border: none; padding: 0in" width="165">
<p align="center"> <font face="Andale Mono"><font
style="font-size: 8pt" size="1"><b>Exposure shot \
noise</b></font></font></p> </td>
<td style="border: none; padding: 0in" width="170">
<p align="center"> <font face="Andale Mono"><font
style="font-size: 8pt" size="1"><b>Exposure total
noise</b></font></font></p>
</td>
</tr>
<tr valign="bottom">
<td style="border: none; padding: 0in" width="234" height="13">
<p align="left"> <font face="Andale Mono"><font
style="font-size: 8pt" size="1">No Filter</font></font></p>
</td>
<td style="border: none; padding: 0in" width="213">
<p align="center"> <font face="Andale Mono"><font
style="font-size: 8pt" size="1">349.1</font></font></p>
</td>
<td style="border: none; padding: 0in" width="184">
<p align="center"> <font face="Andale Mono"><font
style="font-size: 8pt" size="1">226.2</font></font></p>
</td>
<td style="border: none; padding: 0in" width="165">
<p align="center"> <font face="Andale Mono"><font
style="font-size: 8pt" size="1">15</font></font></p>
</td>
<td style="border: none; padding: 0in" width="170">
<p align="center"> <font face="Andale Mono"><font
style="font-size: 8pt" size="1">15.3</font></font></p>
</td>
</tr>
<tr valign="bottom">
<td style="border: none; padding: 0in" width="234" height="13">
<p align="left"> <font face="Andale Mono"><font
style="font-size: 8pt" size="1">Optolong l-Pro</font></font></p>
</td>
<td style="border: none; padding: 0in" width="213">
<p align="center"> <font face="Andale Mono"><font
style="font-size: 8pt" size="1">634.8</font></font></p>
</td>
<td style="border: none; padding: 0in" width="184">
<p align="center"> <font face="Andale Mono"><font
style="font-size: 8pt" size="1">411.3</font></font></p>
</td>
<td style="border: none; padding: 0in" width="165">
<p align="center"> <font face="Andale Mono"><font
style="font-size: 8pt" size="1">20.3</font></font></p>
</td>
<td style="border: none; padding: 0in" width="170">
<p align="center"> <font face="Andale Mono"><font
style="font-size: 8pt" size="1">20.5</font></font></p>
</td>
</tr>
<tr valign="bottom">
<td style="border: none; padding: 0in" width="234" height="13">
<p align="left"> <font face="Andale Mono"><font
style="font-size: 8pt" size="1">Optolong \
l-Enhance</font></font></p> </td>
<td style="border: none; padding: 0in" width="213">
<p align="center"> <font face="Andale Mono"><font
style="font-size: 8pt" size="1">3174</font></font></p>
</td>
<td style="border: none; padding: 0in" width="184">
<p align="center"> <font face="Andale Mono"><font
style="font-size: 8pt" size="1">2056.3</font></font></p>
</td>
<td style="border: none; padding: 0in" width="165">
<p align="center"> <font face="Andale Mono"><font
style="font-size: 8pt" size="1">45.3</font></font></p>
</td>
<td style="border: none; padding: 0in" width="170">
<p align="center"> <font face="Andale Mono"><font
style="font-size: 8pt" size="1">45.4</font></font></p>
</td>
</tr>
</tbody>
</table>
<br>
<p style="line-height: 100%; margin-bottom: 0in"><font face="Andale
Mono"><font style="font-size: 8pt" size="1">And accumulated data
for imaging sessions of 1 to 5 hours:</font></font></p>
<p style="line-height: 100%; margin-bottom: 0in"><br>
</p>
<table width="2107" cellspacing="0" cellpadding="2">
<colgroup><col width="139"> <col width="123"> <col width="123">
<col width="130"> <col width="123"> <col width="123"> <col
width="130"> <col width="130"> <col width="123"> <col
width="130"> <col width="130"> <col width="123"> <col
width="130"> <col width="130"> <col width="123"> <col
width="130"> </colgroup><tbody>
<tr>
<td style="border: none; padding: 0in" width="139"
valign="bottom" height="13">
<p align="center"> <br>
</p>
</td>
<td colspan="3" style="border: none; padding: 0in" width="384">
<p align="center"> <font face="Andale Mono"><font
style="font-size: 8pt" size="1"><b>3,600.00 \
seconds</b></font></font></p> </td>
<td colspan="3" style="border: none; padding: 0in" width="384">
<p align="center"> <font face="Andale Mono"><font
style="font-size: 8pt" size="1"><b>7,200.00 \
seconds</b></font></font></p> </td>
<td colspan="3" style="border: none; padding: 0in" width="392">
<p align="center"> <font face="Andale Mono"><font
style="font-size: 8pt" size="1"><b>10,800.00 \
seconds</b></font></font></p> </td>
<td colspan="3" style="border: none; padding: 0in" width="391">
<p align="center"> <font face="Andale Mono"><font
style="font-size: 8pt" size="1"><b>14,400.00 \
seconds</b></font></font></p> </td>
<td colspan="3" style="border: none; padding: 0in" width="392">
<p align="center"> <font face="Andale Mono"><font
style="font-size: 8pt" size="1"><b>18,000.00 \
seconds</b></font></font></p> </td>
</tr>
<tr valign="bottom">
<td style="border: none; padding: 0in" width="139" height="13">
<p align="center"> <font face="Andale Mono"><font
style="font-size: 8pt" size="1"><b>Filter</b></font></font></p>
</td>
<td style="border: none; padding: 0in" width="123">
<p align="center"> <font face="Andale Mono"><font
style="font-size: 8pt" size="1"><b>Exposure \
Count</b></font></font></p> </td>
<td style="border: none; padding: 0in" width="123">
<p align="center"> <font face="Andale Mono"><font
style="font-size: 8pt" size="1"><b>Stack Total \
Time</b></font></font></p> </td>
<td style="border: none; padding: 0in" width="130">
<p align="center"> <font face="Andale Mono"><font
style="font-size: 8pt" size="1"><b>Stack total \
noise</b></font></font></p> </td>
<td style="border: none; padding: 0in" width="123">
<p align="center"> <font face="Andale Mono"><font
style="font-size: 8pt" size="1"><b>Exposure \
Count</b></font></font></p> </td>
<td style="border: none; padding: 0in" width="123">
<p align="center"> <font face="Andale Mono"><font
style="font-size: 8pt" size="1"><b>Stack Total \
Time</b></font></font></p> </td>
<td style="border: none; padding: 0in" width="130">
<p align="center"> <font face="Andale Mono"><font
style="font-size: 8pt" size="1"><b>Stack total \
noise</b></font></font></p> </td>
<td style="border: none; padding: 0in" width="130">
<p align="center"> <font face="Andale Mono"><font
style="font-size: 8pt" size="1"><b>Exposure \
Count</b></font></font></p> </td>
<td style="border: none; padding: 0in" width="123">
<p align="center"> <font face="Andale Mono"><font
style="font-size: 8pt" size="1"><b>Stack Total \
Time</b></font></font></p> </td>
<td style="border: none; padding: 0in" width="130">
<p align="center"> <font face="Andale Mono"><font
style="font-size: 8pt" size="1"><b>Stack total \
noise</b></font></font></p> </td>
<td style="border: none; padding: 0in" width="130">
<p align="center"> <font face="Andale Mono"><font
style="font-size: 8pt" size="1"><b>Exposure \
Count</b></font></font></p> </td>
<td style="border: none; padding: 0in" width="123">
<p align="center"> <font face="Andale Mono"><font
style="font-size: 8pt" size="1"><b>Stack Total \
Time</b></font></font></p> </td>
<td style="border: none; padding: 0in" width="130">
<p align="center"> <font face="Andale Mono"><font
style="font-size: 8pt" size="1"><b>Stack total \
noise</b></font></font></p> </td>
<td style="border: none; padding: 0in" width="130">
<p align="center"> <font face="Andale Mono"><font
style="font-size: 8pt" size="1"><b>Exposure \
Count</b></font></font></p> </td>
<td style="border: none; padding: 0in" width="123">
<p align="center"> <font face="Andale Mono"><font
style="font-size: 8pt" size="1"><b>Stack Total \
Time</b></font></font></p> </td>
<td style="border: none; padding: 0in" width="130">
<p align="center"> <font face="Andale Mono"><font
style="font-size: 8pt" size="1"><b>Stack total \
noise</b></font></font></p> </td>
</tr>
<tr valign="bottom">
<td style="border: none; padding: 0in" width="139" height="13">
<p align="left"> <font face="Andale Mono"><font
style="font-size: 8pt" size="1">No Filter</font></font></p>
</td>
<td style="border: none; padding: 0in" width="123">
<p align="center"> <font face="Andale Mono"><font
style="font-size: 8pt" size="1">10</font></font></p>
</td>
<td style="border: none; padding: 0in" width="123">
<p align="center"> <font face="Andale Mono"><font
style="font-size: 8pt" size="1">3491.44</font></font></p>
</td>
<td style="border: none; padding: 0in" width="130">
<p align="center"> <font face="Andale Mono"><font
style="font-size: 8pt" size="1">48.37</font></font></p>
</td>
<td style="border: none; padding: 0in" width="123">
<p align="center"> <font face="Andale Mono"><font
style="font-size: 8pt" size="1">21</font></font></p>
</td>
<td style="border: none; padding: 0in" width="123">
<p align="center"> <font face="Andale Mono"><font
style="font-size: 8pt" size="1">7332.03</font></font></p>
</td>
<td style="border: none; padding: 0in" width="130">
<p align="center"> <font face="Andale Mono"><font
style="font-size: 8pt" size="1">70.09</font></font></p>
</td>
<td style="border: none; padding: 0in" width="130">
<p align="center"> <font face="Andale Mono"><font
style="font-size: 8pt" size="1">31</font></font></p>
</td>
<td style="border: none; padding: 0in" width="123">
<p align="center"> <font face="Andale Mono"><font
style="font-size: 8pt" size="1">10823.47</font></font></p>
</td>
<td style="border: none; padding: 0in" width="130">
<p align="center"> <font face="Andale Mono"><font
style="font-size: 8pt" size="1">85.16</font></font></p>
</td>
<td style="border: none; padding: 0in" width="130">
<p align="center"> <font face="Andale Mono"><font
style="font-size: 8pt" size="1">41</font></font></p>
</td>
<td style="border: none; padding: 0in" width="123">
<p align="center"> <font face="Andale Mono"><font
style="font-size: 8pt" size="1">14314.92</font></font></p>
</td>
<td style="border: none; padding: 0in" width="130">
<p align="center"> <font face="Andale Mono"><font
style="font-size: 8pt" size="1">97.93</font></font></p>
</td>
<td style="border: none; padding: 0in" width="130">
<p align="center"> <font face="Andale Mono"><font
style="font-size: 8pt" size="1">52</font></font></p>
</td>
<td style="border: none; padding: 0in" width="123">
<p align="center"> <font face="Andale Mono"><font
style="font-size: 8pt" size="1">18155.51</font></font></p>
</td>
<td style="border: none; padding: 0in" width="130">
<p align="center"> <font face="Andale Mono"><font
style="font-size: 8pt" size="1">110.29</font></font></p>
</td>
</tr>
<tr valign="bottom">
<td style="border: none; padding: 0in" width="139" height="13">
<p align="left"> <font face="Andale Mono"><font
style="font-size: 8pt" size="1">Optolong l-Pro</font></font></p>
</td>
<td style="border: none; padding: 0in" width="123">
<p align="center"> <font face="Andale Mono"><font
style="font-size: 8pt" size="1">6</font></font></p>
</td>
<td style="border: none; padding: 0in" width="123">
<p align="center"> <font face="Andale Mono"><font
style="font-size: 8pt" size="1">3808.85</font></font></p>
</td>
<td style="border: none; padding: 0in" width="130">
<p align="center"> <font face="Andale Mono"><font
style="font-size: 8pt" size="1">50.14</font></font></p>
</td>
<td style="border: none; padding: 0in" width="123">
<p align="center"> <font face="Andale Mono"><font
style="font-size: 8pt" size="1">11</font></font></p>
</td>
<td style="border: none; padding: 0in" width="123">
<p align="center"> <font face="Andale Mono"><font
style="font-size: 8pt" size="1">6982.89</font></font></p>
</td>
<td style="border: none; padding: 0in" width="130">
<p align="center"> <font face="Andale Mono"><font
style="font-size: 8pt" size="1">67.89</font></font></p>
</td>
<td style="border: none; padding: 0in" width="130">
<p align="center"> <font face="Andale Mono"><font
style="font-size: 8pt" size="1">17</font></font></p>
</td>
<td style="border: none; padding: 0in" width="123">
<p align="center"> <font face="Andale Mono"><font
style="font-size: 8pt" size="1">10791.73</font></font></p>
</td>
<td style="border: none; padding: 0in" width="130">
<p align="center"> <font face="Andale Mono"><font
style="font-size: 8pt" size="1">84.4</font></font></p>
</td>
<td style="border: none; padding: 0in" width="130">
<p align="center"> <font face="Andale Mono"><font
style="font-size: 8pt" size="1">23</font></font></p>
</td>
<td style="border: none; padding: 0in" width="123">
<p align="center"> <font face="Andale Mono"><font
style="font-size: 8pt" size="1">14600.58</font></font></p>
</td>
<td style="border: none; padding: 0in" width="130">
<p align="center"> <font face="Andale Mono"><font
style="font-size: 8pt" size="1">98.17</font></font></p>
</td>
<td style="border: none; padding: 0in" width="130">
<p align="center"> <font face="Andale Mono"><font
style="font-size: 8pt" size="1">28</font></font></p>
</td>
<td style="border: none; padding: 0in" width="123">
<p align="center"> <font face="Andale Mono"><font
style="font-size: 8pt" size="1">17774.62</font></font></p>
</td>
<td style="border: none; padding: 0in" width="130">
<p align="center"> <font face="Andale Mono"><font
style="font-size: 8pt" size="1">108.31</font></font></p>
</td>
</tr>
<tr valign="bottom">
<td style="border: none; padding: 0in" width="139" height="13">
<p align="left"> <font face="Andale Mono"><font
style="font-size: 8pt" size="1">Optolong \
l-Enhance</font></font></p> </td>
<td style="border: none; padding: 0in" width="123">
<p align="center"> <font face="Andale Mono"><font
style="font-size: 8pt" size="1">1</font></font></p>
</td>
<td style="border: none; padding: 0in" width="123">
<p align="center"> <font face="Andale Mono"><font
style="font-size: 8pt" size="1">3174.04</font></font></p>
</td>
<td style="border: none; padding: 0in" width="130">
<p align="center"> <font face="Andale Mono"><font
style="font-size: 8pt" size="1">45.43</font></font></p>
</td>
<td style="border: none; padding: 0in" width="123">
<p align="center"> <font face="Andale Mono"><font
style="font-size: 8pt" size="1">2</font></font></p>
</td>
<td style="border: none; padding: 0in" width="123">
<p align="center"> <font face="Andale Mono"><font
style="font-size: 8pt" size="1">6348.08</font></font></p>
</td>
<td style="border: none; padding: 0in" width="130">
<p align="center"> <font face="Andale Mono"><font
style="font-size: 8pt" size="1">64.25</font></font></p>
</td>
<td style="border: none; padding: 0in" width="130">
<p align="center"> <font face="Andale Mono"><font
style="font-size: 8pt" size="1">3</font></font></p>
</td>
<td style="border: none; padding: 0in" width="123">
<p align="center"> <font face="Andale Mono"><font
style="font-size: 8pt" size="1">9522.12</font></font></p>
</td>
<td style="border: none; padding: 0in" width="130">
<p align="center"> <font face="Andale Mono"><font
style="font-size: 8pt" size="1">78.69</font></font></p>
</td>
<td style="border: none; padding: 0in" width="130">
<p align="center"> <font face="Andale Mono"><font
style="font-size: 8pt" size="1">5</font></font></p>
</td>
<td style="border: none; padding: 0in" width="123">
<p align="center"> <font face="Andale Mono"><font
style="font-size: 8pt" size="1">15870.2</font></font></p>
</td>
<td style="border: none; padding: 0in" width="130">
<p align="center"> <font face="Andale Mono"><font
style="font-size: 8pt" size="1">101.59</font></font></p>
</td>
<td style="border: none; padding: 0in" width="130">
<p align="center"> <font face="Andale Mono"><font
style="font-size: 8pt" size="1">6</font></font></p>
</td>
<td style="border: none; padding: 0in" width="123">
<p align="center"> <font face="Andale Mono"><font
style="font-size: 8pt" size="1">19044.24</font></font></p>
</td>
<td style="border: none; padding: 0in" width="130">
<p align="center"> <font face="Andale Mono"><font
style="font-size: 8pt" size="1">111.29</font></font></p>
</td>
</tr>
</tbody>
</table>
<p style="line-height: 100%; margin-bottom: 0in"><br>
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