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<p class="MsoNormal"><span style="font-size:12.0pt"><o:p> </o:p></span></p>
<p class="MsoNormal"><span style="font-size:12.0pt">Dear Alexander,<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size:12.0pt"><o:p> </o:p></span></p>
<p class="MsoNormal"><span style="font-size:12.0pt">Thank you very much for the message.<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size:12.0pt"><o:p> </o:p></span></p>
<p class="MsoNormal"><span style="font-size:12.0pt">There was a paper we did a while ago that showed one can get a large or small radius from the full Mainz data set simply by varying analytic choices made in the fitting:
<a href="https://doi.org/10.1103/PhysRevC.102.015205">https://doi.org/10.1103/PhysRevC.102.015205</a> <o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size:12.0pt"><o:p> </o:p></span></p>
<p class="MsoNormal"><span style="font-size:12.0pt">I was curious if your N=5 function (fit – true) would work with the “small radius” polynomial function found in that work as well as it does with the original Bernauer. I can send you the numbers if you
would like to try it.<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size:12.0pt"><o:p> </o:p></span></p>
<p class="MsoNormal"><span style="font-size:12.0pt">Also, could you send me your code for calculating your F1 and F2? I use Python instead of Mathematica but it is usually straight forward to map one to the other.
<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size:12.0pt"><o:p> </o:p></span></p>
<p class="MsoNormal"><span style="font-size:12.0pt">And finally, I have added your result to my list of electron scattering proton radius extractions. For simplicity I have taken your three uncertainties in quadrature. Of course, at this point CODATA-2014
is out of data as they have shifted to the uH point, but I keep it for reference.<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size:12.0pt"><o:p> </o:p></span></p>
<p class="MsoNormal"><span style="font-size:12.0pt"><img border="0" width="480" height="499" style="width:5.0in;height:5.1979in" id="Picture_x0020_1" src="cid:image001.png@01D83078.2F1A4850"></span><span style="font-size:12.0pt"><o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size:12.0pt"><o:p> </o:p></span></p>
<p class="MsoNormal"><span style="font-size:12.0pt">I have been trying make an unabridged list of the results, so please let me know if I am missing something.<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size:12.0pt"><o:p> </o:p></span></p>
<p class="MsoNormal"><span style="font-size:12.0pt">Best Wishes,<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size:12.0pt">Douglas<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size:12.0pt"><o:p> </o:p></span></p>
<p class="MsoNormal"><span style="font-size:12.0pt">p.s.<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size:12.0pt"><o:p> </o:p></span></p>
<p class="MsoNormal"><span style="font-size:12.0pt">Here is the list of references for the plot:<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size:12.0pt"><o:p> </o:p></span></p>
<p class="MsoNormal"><span style="font-size:13.5pt;font-family:"-webkit-standard",serif;color:black">"</span><a href="https://urldefense.proofpoint.com/v2/url?u=https-3A__doi.org_10.1103_RevModPhys.35.335&d=DwMFaQ&c=CJqEzB1piLOyyvZjb8YUQw&r=aOuj1nKq9lTvbgpUN6cJ_A&m=NqF0uflvj-P1ctmnUc_jMk5kD8rJkOzRS_mOe0OXQ5Z2vUoFtfGVXBcphYQSTzge&s=-MI4ZTWgo4-8HqJWibAuWcKNqwT7zv5q2mejl3ONr2g&e=" title="https://urldefense.proofpoint.com/v2/url?u=https-3A__doi.org_10.1103_RevModPhys.35.335&d=DwMFaQ&c=CJqEzB1piLOyyvZjb8YUQw&r=aOuj1nKq9lTvbgpUN6cJ_A&m=NqF0uflvj-P1ctmnUc_jMk5kD8rJkOzRS_mOe0OXQ5Z2vUoFtfGVXBcphYQSTzge&s=-MI4ZTWgo4-8HqJWibAuWcKNqwT7zv5q2mejl3ON"><span style="font-family:"-webkit-standard",serif">https://doi.org/10.1103/RevModPhys.35.335</span></a><span style="font-size:13.5pt;font-family:"-webkit-standard",serif;color:black">"</span><span style="font-family:"-webkit-standard",serif;color:black"><br>
</span><span style="font-size:13.5pt;font-family:"-webkit-standard",serif;color:black"> "</span><a href="https://urldefense.proofpoint.com/v2/url?u=https-3A__doi.org_10.1103_PhysRev.141.1308&d=DwMFaQ&c=CJqEzB1piLOyyvZjb8YUQw&r=aOuj1nKq9lTvbgpUN6cJ_A&m=NqF0uflvj-P1ctmnUc_jMk5kD8rJkOzRS_mOe0OXQ5Z2vUoFtfGVXBcphYQSTzge&s=_wTQBuZtWugwUNFtM8kcEwN4IbeSln4FjN96E1y1yrI&e=" title="https://urldefense.proofpoint.com/v2/url?u=https-3A__doi.org_10.1103_PhysRev.141.1308&d=DwMFaQ&c=CJqEzB1piLOyyvZjb8YUQw&r=aOuj1nKq9lTvbgpUN6cJ_A&m=NqF0uflvj-P1ctmnUc_jMk5kD8rJkOzRS_mOe0OXQ5Z2vUoFtfGVXBcphYQSTzge&s=_wTQBuZtWugwUNFtM8kcEwN4IbeSln4FjN96E1y1y"><span style="font-family:"-webkit-standard",serif">https://doi.org/10.1103/PhysRev.141.1308</span></a><span style="font-size:13.5pt;font-family:"-webkit-standard",serif;color:black">"</span><span style="font-family:"-webkit-standard",serif;color:black"><br>
</span><span style="font-size:13.5pt;font-family:"-webkit-standard",serif;color:black"> "</span><a href="https://urldefense.proofpoint.com/v2/url?u=http-3A__www.jetp.ac.ru_cgi-2Dbin_dn_e-5F035-5F04-5F0651.pdf&d=DwMFaQ&c=CJqEzB1piLOyyvZjb8YUQw&r=aOuj1nKq9lTvbgpUN6cJ_A&m=NqF0uflvj-P1ctmnUc_jMk5kD8rJkOzRS_mOe0OXQ5Z2vUoFtfGVXBcphYQSTzge&s=hP1lR972uw1l90BZH6IegjrdfEzY_PxZaMRZMfYnpV0&e=" title="https://urldefense.proofpoint.com/v2/url?u=http-3A__www.jetp.ac.ru_cgi-2Dbin_dn_e-5F035-5F04-5F0651.pdf&d=DwMFaQ&c=CJqEzB1piLOyyvZjb8YUQw&r=aOuj1nKq9lTvbgpUN6cJ_A&m=NqF0uflvj-P1ctmnUc_jMk5kD8rJkOzRS_mOe0OXQ5Z2vUoFtfGVXBcphYQSTzge&s=hP1lR972uw1l90BZH6Iegjr"><span style="font-family:"-webkit-standard",serif">http://www.jetp.ac.ru/cgi-bin/dn/e_035_04_0651.pdf</span></a><span style="font-size:13.5pt;font-family:"-webkit-standard",serif;color:black">"</span><span style="font-family:"-webkit-standard",serif;color:black"><br>
</span><span style="font-size:13.5pt;font-family:"-webkit-standard",serif;color:black"> "</span><a href="https://urldefense.proofpoint.com/v2/url?u=https-3A__doi.org_10.1103_PhysRevC.9.2125&d=DwMFaQ&c=CJqEzB1piLOyyvZjb8YUQw&r=aOuj1nKq9lTvbgpUN6cJ_A&m=NqF0uflvj-P1ctmnUc_jMk5kD8rJkOzRS_mOe0OXQ5Z2vUoFtfGVXBcphYQSTzge&s=5UsLzpqQy6CBmse_L3k4-gOUMJt35iTCTDwg18CanKo&e=" title="https://urldefense.proofpoint.com/v2/url?u=https-3A__doi.org_10.1103_PhysRevC.9.2125&d=DwMFaQ&c=CJqEzB1piLOyyvZjb8YUQw&r=aOuj1nKq9lTvbgpUN6cJ_A&m=NqF0uflvj-P1ctmnUc_jMk5kD8rJkOzRS_mOe0OXQ5Z2vUoFtfGVXBcphYQSTzge&s=5UsLzpqQy6CBmse_L3k4-gOUMJt35iTCTDwg18CanK"><span style="font-family:"-webkit-standard",serif">https://doi.org/10.1103/PhysRevC.9.2125</span></a><span style="font-size:13.5pt;font-family:"-webkit-standard",serif;color:black">"</span><span style="font-family:"-webkit-standard",serif;color:black"><br>
</span><span style="font-size:13.5pt;font-family:"-webkit-standard",serif;color:black"> "</span><a href="https://urldefense.proofpoint.com/v2/url?u=https-3A__doi.org_10.1016_0550-2D3213-2875-2990514-2D3&d=DwMFaQ&c=CJqEzB1piLOyyvZjb8YUQw&r=aOuj1nKq9lTvbgpUN6cJ_A&m=NqF0uflvj-P1ctmnUc_jMk5kD8rJkOzRS_mOe0OXQ5Z2vUoFtfGVXBcphYQSTzge&s=FeelKBbyEg7UA0V3ZT_fSVZMhhpLNxbTnvPDcVyThn0&e=" title="https://urldefense.proofpoint.com/v2/url?u=https-3A__doi.org_10.1016_0550-2D3213-2875-2990514-2D3&d=DwMFaQ&c=CJqEzB1piLOyyvZjb8YUQw&r=aOuj1nKq9lTvbgpUN6cJ_A&m=NqF0uflvj-P1ctmnUc_jMk5kD8rJkOzRS_mOe0OXQ5Z2vUoFtfGVXBcphYQSTzge&s=FeelKBbyEg7UA0V3ZT_fSVZMhhpLN"><span style="font-family:"-webkit-standard",serif">https://doi.org/10.1016/0550-3213(75)90514-3</span></a><span style="font-size:13.5pt;font-family:"-webkit-standard",serif;color:black">"</span><span style="font-family:"-webkit-standard",serif;color:black"><br>
</span><span style="font-size:13.5pt;font-family:"-webkit-standard",serif;color:black"> "</span><a href="https://urldefense.proofpoint.com/v2/url?u=https-3A__doi.org_10.1007_BF01409496&d=DwMFaQ&c=CJqEzB1piLOyyvZjb8YUQw&r=aOuj1nKq9lTvbgpUN6cJ_A&m=NqF0uflvj-P1ctmnUc_jMk5kD8rJkOzRS_mOe0OXQ5Z2vUoFtfGVXBcphYQSTzge&s=GIFrrz8Zfz0YuZU4egHfAKfUrCf9L1hMEJrRCcCZ3jo&e=" title="https://urldefense.proofpoint.com/v2/url?u=https-3A__doi.org_10.1007_BF01409496&d=DwMFaQ&c=CJqEzB1piLOyyvZjb8YUQw&r=aOuj1nKq9lTvbgpUN6cJ_A&m=NqF0uflvj-P1ctmnUc_jMk5kD8rJkOzRS_mOe0OXQ5Z2vUoFtfGVXBcphYQSTzge&s=GIFrrz8Zfz0YuZU4egHfAKfUrCf9L1hMEJrRCcCZ3jo&e="><span style="font-family:"-webkit-standard",serif">https://doi.org/10.1007/BF01409496</span></a><span style="font-size:13.5pt;font-family:"-webkit-standard",serif;color:black">"</span><span style="font-family:"-webkit-standard",serif;color:black"><br>
</span><span style="font-size:13.5pt;font-family:"-webkit-standard",serif;color:black"> "</span><a href="https://urldefense.proofpoint.com/v2/url?u=https-3A__doi.org_10.1016_0550-2D3213-2876-2990449-2D1&d=DwMFaQ&c=CJqEzB1piLOyyvZjb8YUQw&r=aOuj1nKq9lTvbgpUN6cJ_A&m=NqF0uflvj-P1ctmnUc_jMk5kD8rJkOzRS_mOe0OXQ5Z2vUoFtfGVXBcphYQSTzge&s=9tbEGXWJbxhg19EzBIqRKKWGj8PmgcNkKEQA1WwA7z4&e=" title="https://urldefense.proofpoint.com/v2/url?u=https-3A__doi.org_10.1016_0550-2D3213-2876-2990449-2D1&d=DwMFaQ&c=CJqEzB1piLOyyvZjb8YUQw&r=aOuj1nKq9lTvbgpUN6cJ_A&m=NqF0uflvj-P1ctmnUc_jMk5kD8rJkOzRS_mOe0OXQ5Z2vUoFtfGVXBcphYQSTzge&s=9tbEGXWJbxhg19EzBIqRKKWGj8Pmg"><span style="font-family:"-webkit-standard",serif">https://doi.org/10.1016/0550-3213(76)90449-1</span></a><span style="font-size:13.5pt;font-family:"-webkit-standard",serif;color:black">"</span><span style="font-family:"-webkit-standard",serif;color:black"><br>
</span><span style="font-size:13.5pt;font-family:"-webkit-standard",serif;color:black"> "</span><a href="https://urldefense.proofpoint.com/v2/url?u=https-3A__doi.org_10.1016_0375-2D9474-2880-2990104-2D9&d=DwMFaQ&c=CJqEzB1piLOyyvZjb8YUQw&r=aOuj1nKq9lTvbgpUN6cJ_A&m=NqF0uflvj-P1ctmnUc_jMk5kD8rJkOzRS_mOe0OXQ5Z2vUoFtfGVXBcphYQSTzge&s=0xUXio7NDG9C-tbmlyODLYg131UkVTn6OAuQleIHBG4&e=" title="https://urldefense.proofpoint.com/v2/url?u=https-3A__doi.org_10.1016_0375-2D9474-2880-2990104-2D9&d=DwMFaQ&c=CJqEzB1piLOyyvZjb8YUQw&r=aOuj1nKq9lTvbgpUN6cJ_A&m=NqF0uflvj-P1ctmnUc_jMk5kD8rJkOzRS_mOe0OXQ5Z2vUoFtfGVXBcphYQSTzge&s=0xUXio7NDG9C-tbmlyODLYg131UkV"><span style="font-family:"-webkit-standard",serif">https://doi.org/10.1016/0375-9474(80)90104-9</span></a><span style="font-size:13.5pt;font-family:"-webkit-standard",serif;color:black">"</span><span style="font-family:"-webkit-standard",serif;color:black"><br>
</span><span style="font-size:13.5pt;font-family:"-webkit-standard",serif;color:black"> "</span><a href="https://urldefense.proofpoint.com/v2/url?u=https-3A__doi.org_10.1016_0168-2D583X-2891-2996079-2DZ&d=DwMFaQ&c=CJqEzB1piLOyyvZjb8YUQw&r=aOuj1nKq9lTvbgpUN6cJ_A&m=NqF0uflvj-P1ctmnUc_jMk5kD8rJkOzRS_mOe0OXQ5Z2vUoFtfGVXBcphYQSTzge&s=N-VUZkXxth18QYF3WFJ5I7oBkDBv-m5KWeQBv3T-wjk&e=" title="https://urldefense.proofpoint.com/v2/url?u=https-3A__doi.org_10.1016_0168-2D583X-2891-2996079-2DZ&d=DwMFaQ&c=CJqEzB1piLOyyvZjb8YUQw&r=aOuj1nKq9lTvbgpUN6cJ_A&m=NqF0uflvj-P1ctmnUc_jMk5kD8rJkOzRS_mOe0OXQ5Z2vUoFtfGVXBcphYQSTzge&s=N-VUZkXxth18QYF3WFJ5I7oBkDBv-"><span style="font-family:"-webkit-standard",serif">https://doi.org/10.1016/0168-583X(91)96079-Z</span></a><span style="font-size:13.5pt;font-family:"-webkit-standard",serif;color:black">"</span><span style="font-family:"-webkit-standard",serif;color:black"><br>
</span><span style="font-size:13.5pt;font-family:"-webkit-standard",serif;color:black"> "</span><a href="https://urldefense.proofpoint.com/v2/url?u=https-3A__doi.org_10.1142_S0218301394000255&d=DwMFaQ&c=CJqEzB1piLOyyvZjb8YUQw&r=aOuj1nKq9lTvbgpUN6cJ_A&m=NqF0uflvj-P1ctmnUc_jMk5kD8rJkOzRS_mOe0OXQ5Z2vUoFtfGVXBcphYQSTzge&s=kz4OSqMV_4AOZc7oWA7W4V_sIeqrX1CMIeJnNRSZpbY&e="><span style="font-family:"-webkit-standard",serif">https://doi.org/10.1142/S0218301394000255</span></a><span style="font-size:13.5pt;font-family:"-webkit-standard",serif;color:black">"</span><span style="font-family:"-webkit-standard",serif;color:black"><br>
</span><span style="font-size:13.5pt;font-family:"-webkit-standard",serif;color:black"> "</span><a href="https://urldefense.proofpoint.com/v2/url?u=https-3A__doi.org_10.1016_0375-2D9474-2895-2900339-2D8&d=DwMFaQ&c=CJqEzB1piLOyyvZjb8YUQw&r=aOuj1nKq9lTvbgpUN6cJ_A&m=NqF0uflvj-P1ctmnUc_jMk5kD8rJkOzRS_mOe0OXQ5Z2vUoFtfGVXBcphYQSTzge&s=locmhvR_FH3FJW2xauSxUcOR1pToroJNmOAEQHI1oqU&e="><span style="font-family:"-webkit-standard",serif">https://doi.org/10.1016/0375-9474(95)00339-8</span></a><span style="font-size:13.5pt;font-family:"-webkit-standard",serif;color:black">"</span><span style="font-family:"-webkit-standard",serif;color:black"><br>
</span><span style="font-size:13.5pt;font-family:"-webkit-standard",serif;color:black"> "</span><a href="https://urldefense.proofpoint.com/v2/url?u=https-3A__doi.org_10.1016_S0370-2D2693-2800-2900316-2D6&d=DwMFaQ&c=CJqEzB1piLOyyvZjb8YUQw&r=aOuj1nKq9lTvbgpUN6cJ_A&m=NqF0uflvj-P1ctmnUc_jMk5kD8rJkOzRS_mOe0OXQ5Z2vUoFtfGVXBcphYQSTzge&s=eB0p-XuNNOg8ek_6skFocHatBs8N7B2M7row06m7zHE&e="><span style="font-family:"-webkit-standard",serif">https://doi.org/10.1016/S0370-2693(00)00316-6</span></a><span style="font-size:13.5pt;font-family:"-webkit-standard",serif;color:black">"</span><span style="font-family:"-webkit-standard",serif;color:black"><br>
</span><span style="font-size:13.5pt;font-family:"-webkit-standard",serif;color:black"> "</span><a href="https://urldefense.proofpoint.com/v2/url?u=https-3A__doi.org_10.1016_S0370-2D2693-2801-2901285-2D0&d=DwMFaQ&c=CJqEzB1piLOyyvZjb8YUQw&r=aOuj1nKq9lTvbgpUN6cJ_A&m=NqF0uflvj-P1ctmnUc_jMk5kD8rJkOzRS_mOe0OXQ5Z2vUoFtfGVXBcphYQSTzge&s=s-ii6vcsOG2AatXZPzW_IIB2YpH51cyrBJNxNZ3ARcM&e="><span style="font-family:"-webkit-standard",serif">https://doi.org/10.1016/S0370-2693(01)01285-0</span></a><span style="font-size:13.5pt;font-family:"-webkit-standard",serif;color:black">"</span><span style="font-family:"-webkit-standard",serif;color:black"><br>
</span><span style="font-size:13.5pt;font-family:"-webkit-standard",serif;color:black"> "</span><a href="https://urldefense.proofpoint.com/v2/url?u=https-3A__doi.org_10.1016_j.physletb.2003.09.092&d=DwMFaQ&c=CJqEzB1piLOyyvZjb8YUQw&r=aOuj1nKq9lTvbgpUN6cJ_A&m=NqF0uflvj-P1ctmnUc_jMk5kD8rJkOzRS_mOe0OXQ5Z2vUoFtfGVXBcphYQSTzge&s=-CqiNiZCapDD6uZ_hoN6NY0uFLmsaQ-AXv4rvwNqIMs&e="><span style="font-family:"-webkit-standard",serif">https://doi.org/10.1016/j.physletb.2003.09.092</span></a><span style="font-size:13.5pt;font-family:"-webkit-standard",serif;color:black">"</span><span style="font-family:"-webkit-standard",serif;color:black"><br>
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</span><span style="font-size:13.5pt;font-family:"-webkit-standard",serif;color:black"> "</span><a href="https://urldefense.proofpoint.com/v2/url?u=https-3A__doi.org_10.1103_PhysRevD.105.054004&d=DwMFaQ&c=CJqEzB1piLOyyvZjb8YUQw&r=aOuj1nKq9lTvbgpUN6cJ_A&m=NqF0uflvj-P1ctmnUc_jMk5kD8rJkOzRS_mOe0OXQ5Z2vUoFtfGVXBcphYQSTzge&s=ApbF_Oh8q5sJF8AZwdNlsqIJQanbdPGKOeuw9lpxlHo&e="><span style="font-family:"-webkit-standard",serif">https://doi.org/10.1103/PhysRevD.105.054004</span></a><span style="font-size:13.5pt;font-family:"-webkit-standard",serif;color:black">"</span><o:p></o:p></p>
<p class="MsoNormal"><span style="font-size:12.0pt"><o:p> </o:p></span></p>
<p class="MsoNormal"><span style="font-size:12.0pt"><o:p> </o:p></span></p>
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<p class="MsoNormal"><b><span style="font-size:12.0pt;color:black">From: </span></b><span style="font-size:12.0pt;color:black">PRad <prad-bounces@jlab.org> on behalf of Alexander Gramolin <gramolin@gmail.com><br>
<b>Date: </b>Friday, March 4, 2022 at 5:04 PM<br>
<b>To: </b>"prad@jlab.org" <prad@jlab.org><br>
<b>Subject: </b>[PRad] [EXTERNAL] Transverse charge density and the radius of the proton<o:p></o:p></span></p>
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<p class="MsoNormal">Dear Colleagues,<br>
<br>
I'd like to bring your attention to our latest research on the proton charge radius that has been published today in Physical Review D (see
<a href="https://urldefense.proofpoint.com/v2/url?u=https-3A__doi.org_10.1103_PhysRevD.105.054004&d=DwMFaQ&c=CJqEzB1piLOyyvZjb8YUQw&r=V3XNY-MaMKN2LuAaTdObrA&m=dfX8coqshXUbElaF_oWnz2EbQ4pNx-8RkX-tik-kc9NtcV2sQ9B2IF9LucQwSwqB&s=LK4nhe9UhLDNXS2iQ5dRecwP6GHu1fsdDtPyp2vdLzU&e=">
https://doi.org/10.1103/PhysRevD.105.054004</a>). This result may be of some interest for the PRad-II experiment and analysis. Note that there are several new appendices compared to the preprint version posted on arXiv a year ago (<a href="https://urldefense.proofpoint.com/v2/url?u=https-3A__arxiv.org_abs_2102.13022&d=DwMFaQ&c=CJqEzB1piLOyyvZjb8YUQw&r=V3XNY-MaMKN2LuAaTdObrA&m=dfX8coqshXUbElaF_oWnz2EbQ4pNx-8RkX-tik-kc9NtcV2sQ9B2IF9LucQwSwqB&s=KZAfbfScAj9q5XWgFjWrYvNK7bH-U63zfwpCZ5hiaug&e=">https://arxiv.org/abs/2102.13022</a>).
Please don't hesitate to contact me if you have any questions or comments.<br>
<br>
Best regards,<o:p></o:p></p>
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<p class="MsoNormal">Alexander Gramolin<o:p></o:p></p>
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<p class="MsoNormal"><o:p> </o:p></p>
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