Biting Back at Malaria – Self-Medication, Traditional
Transcription
Biting Back at Malaria – Self-Medication, Traditional
RUHR ECONOMIC PAPERS Alfredo R. Paloyo Arndt R. Reichert Biting Back at Malaria – Self-Medication, Traditional Healers, and the Public Sector #411 Imprint Ruhr Economic Papers Published by Ruhr-Universität Bochum (RUB), Department of Economics Universitätsstr. 150, 44801 Bochum, Germany Technische Universität Dortmund, Department of Economic and Social Sciences Vogelpothsweg 87, 44227 Dortmund, Germany Universität Duisburg-Essen, Department of Economics Universitätsstr. 12, 45117 Essen, Germany Rheinisch-Westfälisches Institut für Wirtschaftsforschung (RWI) Hohenzollernstr. 1-3, 45128 Essen, Germany Editors Prof. Dr. Thomas K. Bauer RUB, Department of Economics, Empirical Economics Phone: +49 (0) 234/3 22 83 41, e-mail: [email protected] Prof. Dr. Wolfgang Leininger Technische Universität Dortmund, Department of Economic and Social Sciences Economics – Microeconomics Phone: +49 (0) 231/7 55-3297, email: [email protected] Prof. Dr. Volker Clausen University of Duisburg-Essen, Department of Economics International Economics Phone: +49 (0) 201/1 83-3655, e-mail: [email protected] Prof. Dr. Christoph M. Schmidt RWI, Phone: +49 (0) 201/81 49 -227, e-mail: [email protected] Editorial Office Joachim Schmidt RWI, Phone: +49 (0) 201/81 49 -292, e-mail: [email protected] Ruhr Economic Papers #411 Responsible Editor: Christoph M. Schmidt All rights reserved. Bochum, Dortmund, Duisburg, Essen, Germany, 2013 ISSN 1864-4872 (online) – ISBN 978-3-86788-466-2 The working papers published in the Series constitute work in progress circulated to stimulate discussion and critical comments. Views expressed represent exclusively the authors’ own opinions and do not necessarily reflect those of the editors. Ruhr Economic Papers #411 Alfredo R. Paloyo and Arndt R. Reichert Biting Back at Malaria – Self-Medication, Traditional Healers, and the Public Sector Bibliografische Informationen der Deutschen Nationalbibliothek Die Deutsche Bibliothek verzeichnet diese Publikation in der deutschen Nationalbibliografie; detaillierte bibliografische Daten sind im Internet über: http://dnb.d-nb.de abrufbar. http://dx.doi.org/10.4419/86788466 ISSN 1864-4872 (online) ISBN 978-3-86788-466-2 Alfredo R. Paloyo and Arndt R. Reichert1 Biting Back at Malaria – Self-Medication, Traditional Healers, and the Public Sector Abstract Malaria kills about 1,500 children every day. Based on the Demographic and Health Surveys, we examine malaria treatment practices of various health care providers in sub-Saharan Africa, where more than 90 percent of the world’s deaths due to malaria occur. To assess the quality of each health care provider (including, among others, public health centers and traditional healers), we estimate the likelihood of providers to administer ineffective antimalarial drugs such as chloroquine in areas of known resistance, and to relieve children of malaria symptoms after having had fever within the last two weeks. Our results indicate that relative to self-medication, seeking treatment at most providers significantly increases the likelihood to take any antimalarial drug and decreases the likelihood to use chloroquine. Traditional healers do not exert any effect. JEL Classification: I11, I14, O15, O57 Keywords: Quality of care; health care providers; health inequalities; malaria; subSaharan Africa; child health April 2013 1 Both RWI. – We acknowledge the support of Christoph Helbach, Jörg Peters, Maximiliane Sievert, Christoph Strupat, and participants of the German Health Economics Association meeting in 2013 as well as participants of the research seminar of the RWI. – All correspondence to Arndt R. Reichert, RWI, Hohenzollernstr. 1-3, 45128 Essen, Germany, E-Mail: [email protected]. 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−ͲǤͲ͵Ͷͻȗȗȗ ሺͲǤͲͲͻͳሻ −ͲǤͲͷ͵ͷȗȗ ሺͲǤͲͳͺͶሻ −ͲǤͲͻͲȗȗȗ ሺͲǤͲͳͶͲሻ −ͲǤͲͶͺͳȗȗȗ ሺͲǤͲͳͳͲሻ −ͲǤͲʹͳ ሺͲǤͲͳʹͻሻ ͳͺͲͻ −ͲǤͲͷͺʹȗȗȗ ሺͲǤͲͳͷʹሻ −ͲǤͲ͵͵ȗȗȗ ሺͲǤͲͲͻͳሻ −ͲǤͲͶͺͲȗȗ ሺͲǤͲͳͺͷሻ −ͲǤͲͺͻͷȗȗȗ ሺͲǤͲͳͶͲሻ −ͲǤͲͶͲȗȗȗ ሺͲǤͲͳͳͲሻ −ͲǤͲʹʹͲ ሺͲǤͲͳʹͻሻ ͳͺͲͻ −ͲǤͲͷͲȗȗȗ ሺͲǤͲͳͷʹሻ −ͲǤͲ͵ʹȗȗȗ ሺͲǤͲͲͻͳሻ −ͲǤͲͶͲȗ ሺͲǤͲͳͺͷሻ −ͲǤͲͺͺȗȗȗ ሺͲǤͲͳͶͲሻ −ͲǤͲͶʹȗȗȗ ሺͲǤͲͳͳͲሻ −ͲǤͲʹͳͺ ሺͲǤͲͳʹͻሻ ͳͺͲͻ ǣȗ ͷΨǡȗȗ ͳΨǡȗȗȗ ͲǤͳΨǤǤ ͳͲ ǡ ǡ ǡ ሺ ሻ Ǥ ͺǤͳǡ ͺǤͲǡ Ǥͻǡ ǤͶ ǡ Ǥ Ǥ ሺ ሻǤ ǡ ǡ Ǥ Ǥ ǡ ǡ ǡ Ǧ Ǥ −͵Ǥ͵ሺ ሻ −ͺǤͺሺ ሻ ǤͳͲǦ ǡ Ǥ ǡ ǡሺ ሻǡ Ǥ ǡ ǡ ሺ ሻ ǡ ǡ ሺ ͳͲ ሻǤ ǡ Ǥ Ǥ ሺ ሻ ͺͻ ሺ ͶͳǤͻ ͶǤͳ ǡ ǤǤǡ ͶͳǤͻȀͶǤͳȗͳͲͲሻǤ ሺ ሻ ሺ ሻ ͷ ሺʹሻ ǡ ͵Ͳ Ǥ Ǥ ǡǡ ǡǡ ǡ Ǥ Ǧ Ǥ ǡ ሺDzdzǡDzdzǡ Dzdzǡ Dz dzǡDz dzሻǤ ͵ Ǥ ǡ Ǥ ǡ ሺ Ǥ ሻ Ǥͳ ǡ Ǥ Ǥ ͳ ሺ ሻ Ǥ Ǥ ͳͳ ǡ ǡ ሺͳͲǦ ሻǡ Ǥ ǡ ǡǤ ሺ ሻǤ ǡ ǡ Ǥǡ ሺʹͲ ԟ ሻ Ǥ ǡ ǡ Ǥ ǡ ሺ ሻ Ǧ Ǥ ǡ ሺʹͲͲȀʹͲͲሻ ǡ ሺʹͲͲሻǤǡ − − Ǥͳͺ ͶͷǤ ሺͶǡሻǡ ሺ Ǧ ሻǡ ǡ ǡ Ǥ ǡ ͶͲ Ǥ ǡ ͻ Ǥ ǡ Ǧ ሺ ͳሻǤ Ǧ Ǥ ǡ Ǧ Ǥ ǡ ǡ ʹͲ Ǥ ǡ Ǧ ǡ ǡǤ ǡ Ǥ ǡ ሺ ʹͲͲͺሻ ሺ Ͷǡ ሻǤ ǡ ǡ ͳͺ Ǥ ͳʹ ǡ ሺ ሻ Ǥ ǡ Ǥ Ǧǡ ǡ ǡ ሺ ሻǤ Ǥ ሺ ͷǡ ሻǤ Ǧ ǡ ሺ ሻǡ ǡ ǡ ሺ ሻǤ ǡ ǡ Ǧ ǤΒǡ ሺ ͳሻǤ ǡ ǡ ǡ Ǥ ǡ Ǥ ሺ Ǧ ͷǦ ሻǤ ǡ ǡ ሺ ሻ ሺ ሻǤ ሺ ͷǡ ሻǤ ʹͲ Ǥ ǡ ሺǦ ʹǤͶ ሻǤ ǡ ሺ ሻǡ Ǥ ǡ Ǥ Ǥ ǡǡ Ǥ ǡ ǡ ʹͲͲ͵ ʹͲͲͺǤ Ǥ ǡ Ǥ ʹͲͲ͵ʹͲͲͺǤ Ǥ Ǥ ǡ ǡ ǡ Ǧ ʹͲͲ͵ ʹͲͲͺ Ǥ ሺ ͲǤͳͳ ͲǤͷͳ ሻ ሺ ͲǤͳͺ ͲǤ͵ͻ ሻ Ǥ ǡ Ǥǡ Ǧ Ǥ ͳ͵ ǡ Ǥ ʹͲͲͺǡ ǡ ǡ ǦǤ ǯ Ǧ Ǥ ǡ Ǧ ǯ ǡ Ǧ ሺሻǤ ʹͲͲʹǡ Ǧ Ǥ ǡ ǡǤ ʹͲͲͺǡ Dz ʹͲͲͷ ǥሾ ሿ Ǥdz ǡ Ǧ ǡ Ǥ ሺ ሻ Ǥ Ǥǡ ǯǤ Ǥ Ƭ Ƭ Ǥ ǯ Ǥ ሺ ሻ Ǥǡ ǡ ሺ ǦȀǦ ሻ ǡ Ǧ ǡ ǡ Ǧ Ǥ ǡ Ǧǡ ǡ ǡ ሺ ሻ Ǥ ሺ ሻǤ ǣ Ǧ ǡ ǡ Ǧ ͺͻ Ǥ Ǥ ሺ ሻǡ Ǥ ͳͶ Ǧ Ǧ Ǥ ǡ ǡ ǡሺ ሻǤ ǡ ʹ Ǧ Ǥ Ǧ ǡ Ǥ ǡ Ǥ ǡ ǡǡ Ǥǡ Ǥ ǤǦ Ǥ Ǥ ǡ ǡ ሺ ሻ ǡ Ǥ Ǥ ǡ Ǥ ǡ Ǥ ሺ ǡǤǤǡ ǤǡʹͲͲͻǢ ሻǡͳͻ Ǧ ǤʹͲǡ Ǥ ǡ ǡ Ǥ Ǧሺ ሻǤ ǡ ǡ Ǥ ǡ Ǥ Ǧ ͳͻ ǤሺʹͲͲͻሻǡǤሺʹͲͳͲሻǡ ǤሺʹͲͳͳሻ Ǧ Ǥ ʹͲሺͳͻͻͳሻͶͲ Ǥ ǡ ǡ ͶͲ ሺ ሻ Ǥ ǡ ͵Ͳ Ǧ Ǥ ͳͷ Ǥ Ǥ ሺ ሻ ǡǤǤǡ Ǥ ǤሺʹͲͲͺሻ Ǥ ሺሻǡ ሺ ሻǤ ǡ Ǥ ǡ Ǥ ǡ Ǥ Ʈ ሺ ሻ Ǥ Ǥ ǡ ǯ Ǧ ǡ Ǥ Ǥ Ǥ Ǥ ǡ ǡ Ǥ Ǧ Ǥ Ǧ ሺሻ ǡ Ǧ Ǥ ሺʹͲͲͶሻǡ ǡ ǦǤǤሺʹͲͳʹሻ Ǧ Ǥ ሺ ሻǦ Ǧ Ǥ ǡ ǦǤǡሺʹͲͲͷሻ Ǧ ǡ ሺ ሻǤ Ǥ Ǧ Ǧ Ǧ ሺǤǤǡ ǤǡʹͲͲͻሻǤ ǡ ǡ ሺ ͳ ሻ ǡ ǡ Ǥ Ǧ Ǧ Ǥ Ǥ Ǥ Ǧ Ǥ ͳ Ǥ ǡǤǡǤǤǡǤǤǡǤǡǤǡǤǡǤǡ Ǥ̵ሺʹͲͳͳሻǣDzǡǦǣ dzǤͳͲሺͳͶͶሻǤ ͳͲ ǡ Ǥǡ Ǥ ǡ Ǥ ǡ Ǥ ǡ Ǥ ǡ Ǥ ሺʹͲͲͻሻǣ Dz Ǧ dzǤ ሺͳሻǣͶԟǤ ǡǤሺʹͲͲͶሻǣDzǡǣ dzǤǡǣ ǡ Ǥ Ǥ ሺʹͲͳͳሻǣ Dz Ǥdz ǡǡǡǤǤ ǡǤǡǤǡǤǡǤǡǤǡǤ ǡǤǡǤǡǤ ǡǡǤ ǡǤሺʹͲͳͲሻǣDz Ǧ dzǤͻ ͻሺͳሻǤ Ǥǡ Ǥ ሺͳͻͻͳሻǣ Dz ǣ dzǤ ƬͶʹ Ͷʹሺ͵ሻǣʹͲͶԟʹͳ͵Ǥ Ͷʹ ǡ Ǥǡ Ǥ ǡ Ǥ ሺʹͲͲ͵ሻǣ Dz ǣ dzǤ ͳ ͳሺ͵ሻǣͶʹͷԟͶͶͺǤ ͳ ǡǤǤሺʹͲͲͷሻǣDz ǫ dzǤ ͺ ͺሺʹሻǣ͵Ͷͺԟ͵͵ͺǤ ͺ ǡǤǤሺʹͲͲሻǣDzǣ ǡǤdz ͺ͵ ͺ͵ሺͳሻǣͳԟ͵Ǥ ͺ͵ ǡǤሺͳͻͺሻǣDz dzǤ ʹͲͲሺͶ͵ͶͶሻǣͺͷԟͺͶǤ ʹͲͲ ǡ Ǥ Ǥǡ Ǥ Ǥ ǡ Ǥ Ǥ ǡ Ǥ Ǥ ǡ Ǥ Ǥ ǡ Ǥ Ǥ ሺʹͲͳʹሻǣ Dz ǡ Ǥdzͳͳ ͳͳሺǤͳሻǤ ͳͳ ǡ Ǥǡ Ǥ ሺʹͲͲͻሻǣ Dz ǣ dzǤǡǣ Ǥ Ǥǡ Ǥ ǡ Ǥ ǡ Ǥ Ǥ ǡ Ǥ ǡ Ǥ ǡ Ǥ ǡ Ǥ Ǥ ሺʹͲͲͻሻǣ Dz ǦǦ ǫdzǤ ሺͳሻǣԟͻǤ ǡ Ǥ ሺʹͲͲͷሻǣ Dz Ǧ dzǤ ʹͲሺሻǣ͵͵ԟ͵ͶǤ ʹͲ ǡǤǤǤǡǤǡǤǤሺʹͲͳͲሻǣDz Ǧ ǣ dzǤͳͲሺͳͳሻǤ ͳͲ ǡǤǡǤ ǡǤǡǤሺʹͲͳͳሻǣDz ǫ dzǤͳͲ ͳͲሺͳ͵ሻǤ ͳͲ ǡǤǤሺͳͻͻሻǣDzǣ dzǤ ͵Ͷ ͵Ͷሺሻǣͻ͵͵ԟͻͶͷǤ ͵Ͷ ͳͺ ǡǤǡǤ ǡǤǡǤǡǤǡǤሺʹͲͲͻሻǣDz ǡ ǣ ͺሺʹͶሻǤ ǦǦdzǤͺ ሺʹͲͲͷሻǣ Dz ǣ ʹͲͲͷԟʹͲͳͷdzǤ ǡ ǡǤ ǡ Ǥǡ ǡ ǡǡǡ ǡ ǡ ሺʹͲͳͲሻǣ Dz ǣ Ǧ dzǤͻ ͻሺ͵͵͵ሻǤ ǡ Ǥǡ ǡ Ǥ ǡ Ǥ Ǥ ǡ Ǥ Ǥ ǡ Ǥ ǡ Ǥ ǡ Ǥ Ǥ ǡ Ǥ ǡ Ǥ Ǥ ǡ Ǥ Ǥ ǡ Ǥ ǡ Ǥ ǡ Ǥ ǡ Ǥ Ǥ ǡ Ǥ ǡ Ǥ ǡ Ǥ ǡ Ǥ ǡ Ǥ ǡ Ǥ ǡ Ǥ ǡǤǡǤǤǡǤǡǤǡǤǡǤǡǤ ǡ Ǥ ሺʹͲͳʹሻǣ Dz Ȅ ሺሻ ǡ ǡ Ǧ Ǧ ǣ ǦǦ dzǤ ͵ͺͲ ͵ͺͲሺͻͺͷሻǣͳͻͳԟͳͻʹǤ ͵ͺͲ ሺʹͲͳʹሻǣ Dz ʹͲͳʹdzǤ ǡ ǡ Ǥ ሺʹͲͳͲሻǣ Dz ʹͲͳͲdzǤ ǡ ǡ Ǥ ሺʹͲͲͺሻǣ Dz ʹͲͲͺdzǤ ǡ ǡ Ǥ ሺʹͲͲሻǣ Dz dzǤ ǡ ǡǤ ͳͻ ǡ Ǥ Ǥ Ǧ ǡ ǡ ǡ ǡ Ǧ Ǥ Ǥ ǡ ǡǡ ǡ ǡǦ Ǥ Ǥ Ǥ Ǥ ǡ ǡ ǡ ǡ Ǥ Dzdz Ǥ Ǥ Ǧ ǡ ǡ ǡ ǡ ǡǤ ǡ Ǧ ሺሻ Ǥ ǡ ሺʹͲͲ͵ሻǡ ሺʹͲͲ͵ሻ Ǧ ǡ ǡ Ǥ Ǧ Ǥ ሺ ሻǤ ǡ Ǥ Ǧ Ǥ ǡ ͵ Ǥ ǡ Ǥ ǡ Ǥ Ǥ Ǧ Ȅ Ȅ ǡ Ǧ ǡ ǡ ǡ ǡǤ ሺ ሻǡ ǦǦ ǡ ǦǦ ǡ ǦǦ Ǥ ʹͲ Ǧ ǡ ሺ ሻǡ ǡ ǡ Ǥ Ǥ Ǥǡ ǯ Ǥ Ǣ Ǣ Ǣ Ǣ Ǥ Ǥ ሺ ሻǤ ǡǡǡ ǡ ǡ Ǥ ǡ ǡ ǡǡ ǡ Ǥ ǡ ǡ ǡ ǡ ǡ ǡ ǡ ǡ Ǥ Ǣ ǡ ǡ Ǥ ǡǡ ǡǡ ǡ ǡ Ǥ ሺǦǦǡ ǦǦǡ ǦǦሻǡ ሺ ሻǤ ǡ Ǥ ǡ ͳ ͲǤǡǡ Ǥ ǡǤ ǡ ǣ ǡ ʹͳ ǡ ǡ ǡ Ǥ ͳǤ Ǥ ʹʹ ͳ ͳ ሺሻ ሺሻ ሺሻ ሺ ሻ ሺ ሻ ሺሻ ሺȀ Ȁሻ ሺ ሻ ሺሻ ሺ ǡǦሻ ሺ ሻ ሺ ሻ ሺ ሻ ሺሻ ሺሻ ሺ ሻ ሺ ሻ ሺ ሻ ሺ ሻ ሺ ሻ ሺሻ ǯሺǤǤሻ ǯሺǤǤሻ ǦǦ ǦǦ ǦǦ ሺሻ ͲǤͺͶ ͲǤͶͲͶͲ ͲǤͶͺ ͲǤͷ͵ʹͶ ͲǤ͵ͲʹͶ ͲǤͻ͵ ͲǤͻͶʹ ͲǤͳͺͲͷ ͲǤͶ ͲǤʹͺ͵ ͲǤͶͳͳʹ ͲǤͶͻͺ ͲǤʹͷ ͲǤʹ͵ͷͶ ͲǤʹͳͻ ͲǤʹͳͲ ͲǤͳͻʹ͵ ͲǤͳ͵ ͲǤͳͷͻͻ ͲǤͺͲ ͲǤͳͺͻ ͲǤͲͷͳ ͲǤͶ͵ͻͷ ͲǤʹͶͲ͵ ͲǤͲͶͲʹ ͲǤʹͲͲͻ ͲǤͲͳͶʹ ͲǤͲͲ͵ʹ ͲǤʹʹ͵ ͲǤ͵ʹͲ͵ ͲǤͲ͵Ͳ ͲǤͲͲ͵Ͷ ͲǤͲͳ͵Ͳ ͲǤͲʹ ͲǤͲͲͺͲ ͲǤͻͶ ͲǤͳʹͳͺ ͲǤͲͷʹͻ ͲǤͲͺͶͲ ͲǤͲ͵ʹ ͲǤͲͳʹʹ ͲǤͶ͵ͻ ͳǤͺͷሺͳǤ͵ʹͺͲሻ ʹͻǤ͵ͳͳሺǤͳʹͺͷሻ ʹͳǤͶͷͲͲሺʹǤ͵ͻͶͳሻ ͳͺǤͷͺͳ͵ሺʹʹǤͺͷʹሻ ͵͵ǤͷͲͶͺሺʹǤ͵Ͳͷͺሻ ͳͻʹ ǣǡǡ Ǥ Ǥ Ǥǣǯ Ǥ ʹ͵ ʹ ʹ ͲǤ͵Ͷͻͻȗȗȗ ሺͲǤͲͳͷሻ ͲǤͲͶͺͻȗȗ ሺͲǤͲͳͺͷሻ ͲǤͶͳͻͳȗȗȗ ሺͲǤͲͲͺͻʹሻ ͲǤͲ͵͵ȗȗȗ ሺͲǤͲͲͻʹሻ ͲǤ͵ͶͶȗȗȗ ሺͲǤͲͳͺሻ ͲǤͲͲͷͶ ሺͲǤͲͳͲሻ ͲǤʹͺͳȗȗȗ ሺͲǤͲͳͶͷሻ ǦͲǤͲͲ͵ͺ ሺͲǤͲͳͲͻሻ Ȁ ͲǤͳͶͷȗȗȗ ሺͲǤͲͳͳͶሻ ǦͲǤͲͲͺ͵ ሺͲǤͲͳ͵ͻሻ ǦͲǤͲͲͻ ሺͲǤͲͳʹሻ ͲǤͲͲͷͻ ሺͲǤͲͳͳͷሻ ͲǤͲͳͻͲ ሺͲǤͲͳ͵ʹሻ ǦͲǤͲͲͺ ሺͲǤͲͳͶͲሻ ǦͲǤͲͳͷͺ ሺͲǤͲͳ͵ሻ ͲǤͲͲʹͺ ሺͲǤͲͳͲሻ ǦͲǤͲʹ͵ʹ ሺͲǤͲͳͶͷሻ ͲǤͲͲͺͺ ሺͲǤͲͳͶͻሻ ǦͲǤͲͳͶʹȗ ሺͲǤͲͲͲሻ ͲǤͲͲͳ ሺͲǤͲͲͷሻ ͲǤͲͲʹʹ ሺͲǤͲͲͶሻ ǦͲǤͲͳͲ͵ ሺͲǤͲͲͻ͵ሻ ǦͲǤͲʹʹ ሺͲǤͲͳͶሻ ͲǤͲͳͷ ሺͲǤͲͳͶͲሻ ǦͲǤͲͲͲ ሺͲǤͲͳͷʹሻ ǦͲǤͲͳͲͻ ሺͲǤͲͳሻ Ǥ ǦͲǤͲͲͷʹ ሺͲǤͲͲͺͻሻ ͲǤͲͲͻ ሺͲǤͲͲͻሻ ͲǤͲͲͶͷ ሺͲǤͲͲͺͳሻ ǦͲǤͲͳʹ ሺͲǤͲͲͺ͵ሻ ͲǤͲͳͳͲ ሺͲǤͲͲͻͳሻ ͲǤͲ͵ͳʹȗ ሺͲǤͲͳʹͻሻ ͲǤͲͳͲͻ ሺͲǤͲͳͲʹሻ ǦͲǤͲ͵͵ʹȗȗ ሺͲǤͲͳͳʹሻ ͲǤͲͲͶ ሺͲǤͲͲͻͷሻ ǦͲǤͲͲͳʹ ሺͲǤͲͳʹሻ ͲǤͲͳ͵Ͳ ሺͲǤͲͳͲͷሻ ͲǤͲͲ͵ͷ ሺͲǤͲͳʹሻ ሺሻ ͲǤͲʹ͵ȗ ሺͲǤͲͳͲͶሻ ͲǤͲͲͷ ሺͲǤͲͳͳͻሻ ሺሻ ͲǤͲͶʹͶȗȗȗ ሺͲǤͲͳʹ͵ሻ ͲǤͲ͵ͺȗ ሺͲǤͲͳͷͲሻ ሺሻ ͲǤͲͺ͵ͻȗȗȗ ሺͲǤͲͳͷͳሻ ͲǤͲͳͶͺ ሺͲǤͲͳͺͷሻ ሺ ሻ ͲǤͲͻͳȗȗȗ ሺͲǤͲʹͳͷሻ ǦͲǤͲͲͺ ሺͲǤͲʹͷͺሻ ሺ ሻ ǦͲǤͲͳͳͲ ሺͲǤͲͳ͵ሻ ͲǤͲ͵ͻ ሺͲǤͲʹͳͲሻ ǦͲǤͲͳͳͲ ሺͲǤͲͳ͵ሻ ͲǤͲ͵ͻ ሺͲǤͲʹͳͲሻ ͲǤͲͳͳͶ ሺͲǤͲͲͺͷሻ ǦͲǤͲͲͲ ሺͲǤͲͲͻͶሻ ǦͲǤͲͲͺ ሺͲǤͲͳ͵Ͷሻ ͲǤͲͳͲͳ ሺͲǤͲͳ͵ʹሻ ǦͲǤͲͻȗȗȗ ሺͲǤͲͳͻͳሻ ͲǤͲͳ͵Ͳ ሺͲǤͲʹʹሻ ǦͲǤͲͲ͵ʹ ሺͲǤͲͲͺͷሻ ǦͲǤͲͲͲͲʹ ሺͲǤͲͲͻሻ ǦͲǤͲͲͲ ሺͲǤͲͲͻʹሻ ǦͲǤͲͲͶ ሺͲǤͲͲͻሻ ͲǤͲͲʹͶ ሺͲǤͲͳͻͶሻ ͲǤͲͷͷͲȗ ሺͲǤͲʹʹʹሻ ǤሺȀǤǤǤሻ ͲǤͲͳ ሺͲǤͲ͵͵ሻ ͲǤͲʹͻ ሺͲǤͲ͵͵ሻ Ǥሺ ሻ ǦͲǤͲͲʹ ሺͲǤͲͷͲሻ ǦͲǤͲͲͷͶ ሺͲǤͲͷͻͲሻ Ǥሺሻ ͲǤͲͳͶ ሺͲǤͲͲͻͻሻ ͲǤͲͳͳͻ ሺͲǤͲͳͳͳሻ ͲǤͲͲͷ ሺͲǤͲͳͳሻ ǦͲǤͲͲͳͶ ሺͲǤͲͳ͵ͷሻ ǤሺǤǦǤሻ Ǥሺ Ǥሻ ͲǤͲͳͻ ሺͲǤͲʹͲʹሻ ͲǤͲͶͻͲȗ ሺͲǤͲʹʹሻ Ǥሺǡ ሻ ͲǤͲͶͻͷ ሺͲǤͲ͵ͺሻ ͲǤʹͷͻͶ ሺͲǤ͵͵Ͳሻ Ǥሺ ሻ ͲǤͲʹͶͶ ሺͲǤͲ͵Ͳͳሻ ͲǤͲͲͷ ሺͲǤͲͶʹͺሻ Ǥሺሻ ͲǤͲͳͻͻ ሺͲǤͲͳͶሻ ͲǤͲͳ ሺͲǤͲͳͻሻ Ǥሺሻ ǦͲǤͲʹͺ ሺͲǤͲ͵ͺͺሻ ǦͲǤͲͶ͵ͺȗȗ ሺͲǤͲͳͺሻ Ǥሺ Ǥሻ ǦͲǤͲͲͲ ሺͲǤͲͳͳͻሻ ǦͲǤͲͲͺͺ ሺͲǤͲͳͳͶሻ Ǥሺ Ǥሻ ͲǤͲͲͲͺ ሺͲǤͲͳͺͷሻ ͲǤͲͲͶ͵ ሺͲǤͲʹͲሻ Ǥሺ Ǥ Ǥሻ ͲǤͲͲͲͻ ሺͲǤͲͳͻͻሻ ͲǤͲͲʹʹ ሺͲǤͲʹͲͳሻ Ǥሺ Ǥ Ǥሻ ͲǤͲͶͺ ሺͲǤͲʹͻሻ ͲǤͲͻͺȗ ሺͲǤͲʹͻͲሻ Ǥሺሻ ͲǤͲͳͳ ሺͲǤͲͶͲͲሻ ͲǤͲͺͲ ሺͲǤͲͶͶሻ ͲǤͲͲͲͶ ሺͲǤͲͳͲʹሻ ǦͲǤͲͳʹͳ ሺͲǤͲͲͻሻ ǯ ͲǤͲ͵ͺͲȗȗȗ ሺͲǤͲͲͺͷሻ ͲǤͲͳʹͻ ሺͲǤͲͲͻ͵ሻ ̵ሺሻ ǦͲǤͲͲͳȗȗ ሺͲǤͲͲʹͳሻ ǦͲǤͲͲ͵ͷ ሺͲǤͲͲʹ͵ሻ ǯ ͲǤͲͲͲ͵ ሺͲǤͲͲͲͷሻ ͲǤͲͲͲͳ ሺͲǤͲͲͲሻ ǦǦ ͲǤͲͲͲͶȗ ሺͲǤͲͲͲʹሻ ǦͲǤͲͲͲͳ ሺͲǤͲͲͲ͵ሻ ǦǦ ǦͲǤͲͲͲȗ ሺͲǤͲͲͲ͵ሻ ͲǤͲͲͲͳ ሺͲǤͲͲͲ͵ሻ ǦǦ Ǥ ͲǤͲͲͲͶȗ ሺͲǤͲͲͲʹሻ ǦͲǤͲͲͲͳ ሺͲǤͲͲͲʹሻ ͲǤʹʹͶȗȗȗ ሺͲǤͲʹͻሻ ͲǤͲͻͳʹ ሺͲǤͲͳሻ ͳͺͲͻ Ͷ͵Ͳͷ ǦͲǤͲͺͳʹȗȗȗ ሺͲǤͲͳͺͻሻ ǦͲǤͲͻͳȗȗȗ ሺͲǤͲͳ͵͵ሻ ǦͲǤͲͺͲͶȗȗȗ ሺͲǤͲʹͲͺሻ ǦͲǤͲͲͳ͵ ሺͲǤͲʹͲͷሻ ǦͲǤͲ͵ͻȗȗȗ ሺͲǤͲͳͶሻ ǦͲǤͲͲͻͺ ሺͲǤͲʹʹͳሻ ǦͲǤͲʹʹͷ ሺͲǤͲͳͻሻ ǦͲǤͲͳ͵Ͷ ሺͲǤͲʹʹͻሻ ͲǤͲͲ͵Ͳ ሺͲǤͲʹͲͶሻ ǦͲǤͲʹͷȗȗ ሺͲǤͲͲͻሻ ͲǤͲͳ͵ ሺͲǤͲͳͲͷሻ ͲǤͲͳʹ ሺͲǤͲͳͺͷሻ ǦͲǤͲͲͶͶ ሺͲǤͲͳͺሻ ǦͲǤͲͲͺͺ ሺͲǤͲͳͳͺሻ ǦͲǤͲͶͲͳȗȗȗ ሺͲǤͲͳͳͷሻ ǦͲǤͲ͵Ͳʹȗ ሺͲǤͲͳʹͶሻ ǦͲǤͲͶͻȗȗȗ ሺͲǤͲͳ͵ͺሻ ǦͲǤͲͳͶʹ ሺͲǤͲͳ͵Ͷሻ ǦͲǤͲ͵Ͳͺȗ ሺͲǤͲͳͶሻ ͲǤͲͲͳͳ ሺͲǤͲͳሻ ͲǤͲͲ͵ʹ ሺͲǤͲͳͺͷሻ ǦͲǤͲͲͻ ሺͲǤͲʹͳሻ ǦͲǤͲͳͻ ሺͲǤͲʹͻሻ ǦͲǤͲ͵ʹ ሺͲǤͲͳͺͲሻ ǦͲǤͲ͵ʹ ሺͲǤͲͳͺͲሻ ͲǤͲͲͶͶ ሺͲǤͲͳʹͳሻ ǦͲǤͲͲ͵ͷ ሺͲǤͲͳͷሻ ǦͲǤͲͲͲͺ ሺͲǤͲʹͳͺሻ ͲǤͲʹ͵Ͷȗ ሺͲǤͲͳͳሻ ǦͲǤͲͲʹ ሺͲǤͲͳʹ͵ሻ ǦͲǤͲͳͳͲ ሺͲǤͲʹ͵ሻ ͲǤͲͷ͵ ሺͲǤͲ͵Ͷͳሻ ͲǤͲʹͻ ሺͲǤͲͻͷʹሻ ͲǤͲͳʹ ሺͲǤͲͳ͵ͺሻ ͲǤͲ͵͵ʹȗ ሺͲǤͲͳʹሻ ͲǤͲͶͺͳ ሺͲǤͲ͵Ͷͻሻ ͲǤͳͻͷȗ ሺͲǤͲͻሻ ǦͲǤͲͲͻͳ ሺͲǤͲ͵ͻሻ ͲǤͲͳ͵ʹ ሺͲǤͲʹͳʹሻ ǦͲǤͲͺͻͶȗ ሺͲǤͲ͵͵ሻ ǦͲǤͲʹ͵Ͷ ሺͲǤͲͳͷ͵ሻ ǦͲǤͲͶ͵ʹ ሺͲǤͲʹͲሻ ǦͲǤͲʹͻ͵ ሺͲǤͲʹͶʹሻ ǦͲǤͲͺȗ ሺͲǤͲ͵͵ʹሻ ǦͲǤͲͷ͵ ሺͲǤͲͶͺሻ ͲǤͲʹͻͲȗ ሺͲǤͲͳ͵ͳሻ ǦͲǤͲ͵ͻȗȗ ሺͲǤͲͳͳͻሻ ͲǤͲͲȗ ሺͲǤͲͲ͵Ͳሻ ͲǤͲͲͲͳ ሺͲǤͲͲͲሻ ǦͲǤͲͲͲͲ ሺͲǤͲͲͲʹሻ ͲǤͲͲͲʹ ሺͲǤͲͲͲͶሻ ǦͲǤͲͲͲʹ ሺͲǤͲͲͲ͵ሻ ͲǤͳͲͲȗȗ ሺͲǤͲͻͲሻ ͺͷͻ͵ ǦͲǤͲͷͲȗȗȗ ሺͲǤͲͳͷʹሻ ǦͲǤͲ͵ʹȗȗȗ ሺͲǤͲͲͻͳʹሻ ǦͲǤͲͶͲȗ ሺͲǤͲͳͺͷሻ ǦͲǤͲͺͺȗȗȗ ሺͲǤͲͳͶͲሻ ǦͲǤͲͶʹȗȗȗ ሺͲǤͲͳͳͲሻ ǦͲǤͲʹͳͺ ሺͲǤͲͳʹͻሻ ǦͲǤͲͳͶ ሺͲǤͲͳʹͻሻ ǦͲǤͲͳͲͲ ሺͲǤͲͳʹሻ ǦͲǤͲʹʹͻ ሺͲǤͲͳͶͶሻ ͲǤͲͺȗȗȗ ሺͲǤͲͲͻሻ ͲǤͲͶͶȗȗȗ ሺͲǤͲͲሻ ͲǤͲͳͺͶ ሺͲǤͲͳ͵ͺሻ ǦͲǤͲͳͷͻ ሺͲǤͲͳͶͺሻ ǦͲǤͲͲͲͶ ሺͲǤͲͲͺͺሻ ǦͲǤͲͲͻ͵ ሺͲǤͲͲͺͳሻ ǦͲǤͲͲ ሺͲǤͲͲͻͳሻ ǦͲǤͲͳͲ ሺͲǤͲͳͲʹሻ ͲǤͲͲͳͳ ሺͲǤͲͲͻͷሻ ǦͲǤͲͳͲͻ ሺͲǤͲͳͲ͵ሻ ǦͲǤͲͲͻͳ ሺͲǤͲͳͲͻሻ ͲǤͲͲͶ ሺͲǤͲͳʹሻ ͲǤͲͲͲͶ ሺͲǤͲͳͷʹሻ ǦͲǤͲͲͲͻ ሺͲǤͲʹͳͳሻ ǦͲǤͲͲʹ͵ ሺͲǤͲͳ͵ͳሻ ǦͲǤͲͲʹ͵ ሺͲǤͲͳ͵ͳሻ ǦͲǤͲͲͲ ሺͲǤͲͲͺሻ ǦͲǤͲͳͲͺ ሺͲǤͲͳʹͺሻ ǦͲǤͲʹ͵Ͳ ሺͲǤͲͳͻሻ ͲǤͲͳͳ ሺͲǤͲͲͺͶሻ ͲǤͲͳͺͳȗ ሺͲǤͲͲͻͳሻ ǦͲǤͲͲͶ ሺͲǤͲͳͶሻ ǦͲǤͲͶʹͺ ሺͲǤͲʹͻ͵ሻ ͲǤͲ͵Ͷͺ ሺͲǤͲͷͷͷሻ ǦͲǤͲͲͶͷ ሺͲǤͲͲͻͺሻ ǦͲǤͲʹͷͲȗ ሺͲǤͲͳͳሻ ͲǤͲʹ͵͵ ሺͲǤͲʹʹͲሻ ǦͲǤͲʹʹͲ ሺͲǤͲͷͳሻ ǦͲǤͲͲͺͳ ሺͲǤͲʹͻͶሻ ǦͲǤͲͳͷͻ ሺͲǤͲͳͶሻ ǦͲǤͲͷͶ ሺͲǤͲ͵ͷሻ ǦͲǤͲͳ͵ ሺͲǤͲͳͳͷሻ ǦͲǤͲʹͺͳ ሺͲǤͲͳͺͳሻ ͲǤͲͲͲͷ ሺͲǤͲͳͺሻ ǦͲǤͲͶ͵Ͳ ሺͲǤͲʹͷͶሻ ǦͲǤͲͲͻͷ ሺͲǤͲ͵ͺሻ ͲǤͲͳͶ͵ ሺͲǤͲͳͲͲሻ ǦͲǤͲͳͳȗ ሺͲǤͲͲͺͷሻ ǦͲǤͲͲͲͶ ሺͲǤͲͲʹͳሻ ͲǤͲͲͲͻ ሺͲǤͲͲͲͷሻ ǦͲǤͲͲͲʹ ሺͲǤͲͲͲʹሻ ǦͲǤͲͲͲͲ ሺͲǤͲͲͲʹሻ ǦͲǤͲͲͳͳȗȗȗ ሺͲǤͲͲͲʹሻ ͲǤ͵ͷͶȗȗȗ ሺͲǤͲͻͶሻ ͳͺͲͻ ǣ Ǥ ǡሺ ሻǡǤȗ ͷΨǡȗȗ ͳΨǡȗȗȗ ͲǤͳΨǤǤ ǡ ǡǡǤ ǡ ʹͲͲͺǤ ʹͶ ͵ Ȁ Ȁ Ȁ Ȁ ͲǤ͵ͻͷͷȗȗȗ ሺͲǤͲ͵ͻʹሻ ͲǤͶͺȗȗȗ ሺͲǤͲͳͻͺሻ ͲǤͶͷͺͻȗȗȗ ሺͲǤͲͷʹͲሻ ͲǤ͵ͳͲͻȗȗȗ ሺͲǤͲʹͻͶሻ ͲǤʹͲ͵ȗȗȗ ሺͲǤͲʹͳͳሻ ͲǤͲʹͷͳ ሺͲǤͲʹʹͻሻ Ͷͳʹ ͲǤͶͺͶͻȗȗȗ ሺͲǤͲ͵ʹሻ ͲǤͶͷȗȗȗ ሺͲǤͲͳͻʹሻ ͲǤͶʹʹȗȗȗ ሺͲǤͲͷ͵ሻ ͲǤ͵ͳͻȗȗȗ ሺͲǤͲ͵Ͳ͵ሻ ͲǤʹͳͺȗȗȗ ሺͲǤͲʹ͵͵ሻ ͲǤͲͳ͵ͷ ሺͲǤͲʹͷͶሻ ͵ͻ͵ ͲǤ͵ͳʹȗȗȗ ሺͲǤͲ͵Ͷሻ ͲǤͶͳ͵ʹȗȗȗ ሺͲǤͲͳͺͻሻ ͲǤ͵Ͷͺʹȗȗȗ ሺͲǤͲͶͷʹሻ ͲǤʹͷȗȗȗ ሺͲǤͲ͵ʹͶሻ ͲǤͳͶʹȗȗȗ ሺͲǤͲʹʹሻ −ͲǤͲͺͶͲȗȗ ሺͲǤͲʹሻ ͵ͺͷ͵ ͲǤʹͻ͵ȗȗȗ ሺͲǤͲ͵͵ͳሻ ͲǤ͵ͻͻͳȗȗȗ ሺͲǤͲʹͲͳሻ ͲǤ͵ʹͻͺȗȗȗ ሺͲǤͲ͵ͷሻ ͲǤʹͳ͵ͳȗȗȗ ሺͲǤͲ͵Ͷͻሻ ͲǤͳ͵͵ͷȗȗȗ ሺͲǤͲʹͺͶሻ −ͲǤͲͲ ሺͲǤͲ͵Ͷͻሻ ͵ͷ͵ ͲǤͳͶ͵ȗȗȗ ሺͲǤͲ͵ሻ ͲǤʹͷͲͶȗȗȗ ሺͲǤͲʹͲሻ ͲǤͳͲͶȗȗȗ ሺͲǤͲ͵ͺʹሻ ͲǤͳͶͷͳȗȗȗ ሺͲǤͲͶͲͷሻ −ͲǤͲͲʹ ሺͲǤͲ͵ͷሻ −ͲǤͲʹͳͻ ሺͲǤͲͶͻͲሻ ʹͷͺͻ ͲǤͲͶͻ ሺͲǤͲͷͲሻ ͲǤͲͲͻͺ ሺͲǤͲʹͲሻ −ͲǤͲͲʹʹ ሺͲǤͲͶͶͶሻ −ͲǤͲ͵͵ ሺͲǤͲʹ͵ሻ −ͲǤͲͶ ሺͲǤͲʹͺͳሻ −ͲǤͲ͵Ͳ͵ ሺͲǤͲʹͻͳሻ ͺʹ͵ ͲǤͲͲͻ ሺͲǤͲ͵Ͷሻ ͲǤͲͻʹȗȗȗ ሺͲǤͲʹͲͲሻ ͲǤͲͳ͵ͺ ሺͲǤͲͶͺሻ ͲǤͲͲͷʹ ሺͲǤͲʹͷʹሻ ͲǤͲ͵ʹȗ ሺͲǤͲ͵ͳሻ ͲǤͲͳͻ ሺͲǤͲʹ͵ͻሻ ͻͲͻ ͲǤͲͳʹʹ ሺͲǤͲ͵ͻሻ ͲǤͲ͵Ͷͻ ሺͲǤͲʹͳͶሻ −ͲǤͲͶͲͲ ሺͲǤͲͶͳʹሻ −ͲǤͲͳͺ ሺͲǤͲʹ͵ሻ −ͲǤͲͷ͵ ሺͲǤͲ͵ͷሻ ͲǤͲͳͷ ሺͲǤͲʹ͵ሻ ͻͺͳ ͲǤͲͷͳ ሺͲǤͲ͵Ͷሻ ͲǤͲʹͳ ሺͲǤͲͳͻͳሻ ͲǤͲͲͻͻ ሺͲǤͲ͵ͳ͵ሻ ͲǤͲͲͻͶ ሺͲǤͲʹͲሻ ͲǤͲʹͷͺ ሺͲǤͲ͵Ͳʹሻ ͲǤͲ͵ͺ ሺͲǤͲʹ͵ሻ ͻʹ ͲǤͲͻͺ ሺͲǤͲͶͻͶሻ ͲǤͲͷͳȗ ሺͲǤͲ͵ͲͶሻ ͲǤͲ͵ͻͻ ሺͲǤͲ͵ሻ −ͲǤͲͲͶͶ ሺͲǤͲʹͷͷሻ −ͲǤͲͲʹͳ ሺͲǤͲ͵ʹͳሻ −ͲǤͲ͵ͷ ሺͲǤͲ͵Ͳͳሻ ʹͲ −ͲǤͳͷʹͻȗȗ ሺͲǤͲͷͷͷሻ −ͲǤͲͲͲ ሺͲǤͲ͵Ͷʹሻ −ͲǤͳͳ͵ʹ ሺͲǤͲͳͶሻ −ͲǤͲ͵Ͷ ሺͲǤͲͷͲ͵ሻ −ͲǤͲͷͻͷ ሺͲǤͲͶ͵ͺሻ −ͲǤͲͶͳ ሺͲǤͲͶͻͳሻ ͳͷ͵ͳ −ͲǤͲͳͻͲ ሺͲǤͲͷͳʹሻ −ͲǤͲͺͳͻȗ ሺͲǤͲ͵ʹͶሻ −ͲǤͲͻͷ ሺͲǤͲͶͶሻ ͲǤͲͷ ሺͲǤͲͶͺሻ −ͲǤͲͶ͵ ሺͲǤͲͶͲͻሻ ͲǤͲͺͶ ሺͲǤͲͷͲʹሻ ͳͺͻ −ͲǤͳͻȗȗȗ ሺͲǤͲͶʹሻ −ͲǤͲͻͶȗ ሺͲǤͲʹͺሻ −ͲǤͲͺ͵͵ ሺͲǤͲͷʹͷሻ −ͲǤͲͲͲ ሺͲǤͲͶͻሻ −ͲǤͲͻʹȗ ሺͲǤͲ͵ͺͷሻ −ͲǤͲͲͺ ሺͲǤͲͶͻͶሻ ͳͺͺ −ͲǤͲͻͶȗ ሺͲǤͲ͵ͺͶሻ −ͲǤͲͺͺͻȗȗ ሺͲǤͲʹሻ −ͲǤͳͶͷȗȗȗ ሺͲǤͲ͵ͷሻ −ͲǤͲͳ ሺͲǤͲͶͶͲሻ −ͲǤͲͻͳȗ ሺͲǤͲ͵Ͷሻ −ͲǤͲͲͷ ሺͲǤͲͶͺሻ ͳͻͶ −ͲǤͲͳͲͻ ሺͲǤͲ͵ͻͻሻ −ͲǤͲʹ ሺͲǤͲ͵ͳͻሻ −ͲǤͲʹͶͶ ሺͲǤͲͶʹͳሻ −ͲǤͲʹͲͻ ሺͲǤͲͶͻሻ ͲǤͲͳͳ͵ ሺͲǤͲͶͷͷሻ −ͲǤͲʹͳͶ ሺͲǤͲͷͺͶሻ ͳͷʹʹ −ͲǤͲͺͳͳȗ ሺͲǤͲ͵ͻሻ −ͲǤͲͷʹͷȗ ሺͲǤͲʹͲሻ ͲǤͳͳͶ ሺͲǤͲͳͳሻ −ͲǤͳ͵ʹͶȗȗȗ ሺͲǤͲʹͻʹሻ −ͲǤͲʹͳͶ ሺͲǤͲʹʹͲሻ −ͲǤͲʹͳͲ ሺͲǤͲʹͶሻ Ͷͳʹ −ͲǤͲͷ͵ʹ ሺͲǤͲ͵ͺሻ −ͲǤͲʹͻ ሺͲǤͲʹͲͲሻ −ͲǤͲͻͲ͵ ሺͲǤͲͷͳͶሻ −ͲǤͲͷȗ ሺͲǤͲ͵ͳʹሻ −ͲǤͲͲͲȗ ሺͲǤͲʹ͵͵ሻ −ͲǤͲͲͲ ሺͲǤͲʹͲሻ ͵ͻ͵ −ͲǤͲ͵ȗ ሺͲǤͲ͵ʹሻ −ͲǤͲͳʹͳ ሺͲǤͲʹͲ͵ሻ −ͲǤͲͷʹ ሺͲǤͲͶͷʹሻ −ͲǤͲͻͺȗȗ ሺͲǤͲ͵ͳͳሻ −ͲǤͲͳͶȗ ሺͲǤͲʹͷʹሻ −ͲǤͲʹͳͷ ሺͲǤͲʹͺ͵ሻ ͵ͺͷ͵ −ͲǤͲͺ͵ͺȗȗ ሺͲǤͲ͵ͳʹሻ −ͲǤͲʹͶ͵ ሺͲǤͲʹͲͻሻ −ͲǤͲͺͳȗ ሺͲǤͲ͵ͳሻ −ͲǤͲͺͳȗ ሺͲǤͲ͵͵Ͷሻ −ͲǤͲͷͶȗ ሺͲǤͲʹሻ −ͲǤͲʹͳ ሺͲǤͲ͵ʹͳሻ ͵ͷ͵ ͲǤͲͳͷͻ ሺͲǤͲ͵ʹ͵ሻ −ͲǤͲʹʹ ሺͲǤͲʹ͵ͳሻ −ͲǤͲͲͲ ሺͲǤͲ͵ͶͶሻ −ͲǤͲ͵͵ͻ ሺͲǤͲ͵ሻ −ͲǤͲʹͲʹ ሺͲǤͲ͵Ͳʹሻ −ͲǤͲͲͷ ሺͲǤͲͶʹʹሻ ʹͷͺͻ ǣ Ǥȗ ͷΨǡȗȗ ͳΨǡȗȗȗ ͲǤͳΨǤ Ǥ ǡ ǡǡǤ ǡʹͲͲͺǤ ʹͷ − − − − − − ͲǤͲͲͻͶ ሺͲǤͲͲͻͺሻ ͲǤͲͳͶͺȗȗȗ ሺͲǤͲͲͶͶሻ −ͲǤͲͲͳͲ ሺͲǤͲͲ͵ሻ −ͲǤͲͲͳͺ ሺͲǤͲͲʹሻ −ͲǤͲͲ͵ͷ ሺͲǤͲͲ͵ͳሻ ͲǤͲͲͺ ሺͲǤͲͲͻሻ ʹͳͲͺ ͲǤʹͶͻͻȗȗȗ ሺͲǤͲͶሻ ͲǤͶͲͺͺȗȗȗ ሺͲǤͲͳͻͳሻ ͲǤʹͳͺȗȗȗ ሺͲǤͲ͵ʹሻ ͲǤ͵ͷʹȗȗȗ ሺͲǤͲʹͺͷሻ ͲǤͲ͵ͳͳ ሺͲǤͲʹͻሻ ͲǤͲͳͳ͵ ሺͲǤͲʹ͵ͺሻ ͵ͳ ͲǤʹͲȗȗ ሺͲǤͲͳͺሻ ͲǤ͵ͷͷʹȗȗȗ ሺͲǤͲʹͲሻ ͲǤͷͶͶͳȗȗȗ ሺͲǤͲͶ͵͵ሻ ͲǤͲ͵ͻ ሺͲǤͳͲʹͺሻ ͲǤͳͶͳȗȗȗ ሺͲǤͲ͵Ͷሻ −ͲǤͳͷͺͷȗȗȗ ሺͲǤͲ͵͵ሻ ʹͶͺʹ ͲǤʹͻͷȗ ሺͲǤͳͶͷሻ ͲǤ͵ͷͳȗ ሺͲǤͳͶ͵ͻሻ ͲǤ͵ͻ͵ȗ ሺͲǤͳͷʹሻ ͲǤʹͻͺͶ ሺͲǤʹͻͺሻ ͲǤ͵ͳͲȗ ሺͲǤͳͶͶͻሻ ͲǤͲͷͺ ሺͲǤʹͺͺͷሻ ʹͲͻ ͲǤ͵ͷͶȗȗȗ ሺͲǤͲͶͲʹሻ ͲǤʹͶͻȗȗȗ ሺͲǤͲͶʹʹሻ ͲǤʹͺͲͶȗȗȗ ሺͲǤͲͻሻ ͲǤͳͶͺͻ ሺͲǤͳʹ͵ͻሻ ͲǤʹ͵Ͷ͵ȗȗȗ ሺͲǤͲͶͳሻ ͲǤͲ͵ʹ ሺͲǤͲͻͺሻ ͳͳͶͶ − − − − − − ͲǤͷͺͷȗȗȗ ሺͲǤͲͶͷሻ ͲǤͷ͵ͳȗȗȗ ሺͲǤͲʹͺͶሻ ͲǤͷͶͲȗȗȗ ሺͲǤͳʹ͵ͳሻ ͲǤ͵͵ȗȗȗ ሺͲǤͲͻͲͷሻ ͲǤʹ͵ͳȗȗȗ ሺͲǤͲ͵ͺሻ −ͲǤͲͺͻȗ ሺͲǤͲ͵ሻ ͳͶ͵ͺ ͲǤͲ͵Ͳʹ ሺͲǤͲ͵ሻ −ͲǤͲͲͶͺ ሺͲǤͲͷͺͳሻ −ͲǤͲͳͶ ሺͲǤͲ͵ͳሻ −ͲǤͲʹͻ ሺͲǤͲͳሻ −ͲǤͳͳ͵ʹ ሺͲǤͲ͵ʹሻ −ͲǤͲͻ ሺͲǤͲͺͶʹሻ ͺ ͲǤͲʹ͵ȗȗȗ ሺͲǤͲͶʹ͵ሻ ͲǤͶͻȗȗȗ ሺͲǤͲ͵Ͷͺሻ ͲǤͷͶʹȗȗȗ ሺͲǤͲͶͷሻ ͲǤͷͶʹͻȗȗȗ ሺͲǤͲͷͶͳሻ ͲǤ͵ͺ͵ȗȗȗ ሺͲǤͲͶͶሻ ͲǤͳʹȗ ሺͲǤͲͷʹͲሻ ͳ͵ʹ − − − − − − ͲǤ͵ͺͳͶȗȗȗ ሺͲǤͳͳͶͺሻ ͲǤͶʹʹͻȗȗȗ ሺͲǤͲʹͺͺሻ ͲǤ͵ͷͻͳȗȗ ሺͲǤͳʹͳሻ ͲǤʹͳͷȗ ሺͲǤͲͺͷሻ ͲǤͳͻͻͷȗȗ ሺͲǤͲͳሻ ͲǤͲʹ͵ ሺͲǤͲʹͺͶሻ ͳͳͲ ͲǤͲͷͷ ሺͲǤͲ͵ͳ͵ሻ ͲǤͲ͵ʹ ሺͲǤͲʹ͵ͺሻ ͲǤͲͲͷ ሺͲǤͲ͵͵Ͷሻ −ͲǤͲͳͲͲ ሺͲǤͲʹͲሻ ͲǤͲʹ͵ʹ ሺͲǤͲʹͻʹሻ −ͲǤͲ͵ͳ͵ ሺͲǤͲʹͺሻ ͳʹͲʹ ͲǤ͵ͲͲͲȗȗȗ ሺͲǤͲʹͷሻ ͲǤͶͳͷͳȗȗȗ ሺͲǤͲʹʹͶሻ ͲǤ͵ͶͻͶȗȗȗ ሺͲǤͲ͵ʹͶሻ ͲǤʹͲȗȗȗ ሺͲǤͲʹʹሻ ͲǤͳͻͳȗȗȗ ሺͲǤͲͳͻ͵ሻ −ͲǤͲͲ͵ ሺͲǤͲ͵ͳሻ ͶͶͳ͵ − − − − − − ͲǤ͵ͲͲͶȗȗȗ ሺͲǤͲͺͳ͵ሻ ͲǤͷ͵ͻͺȗȗȗ ሺͲǤͲʹ͵ሻ ͲǤ͵ͳʹȗȗ ሺͲǤͳͲͺͳሻ ͲǤʹ͵ͶͲȗȗȗ ሺͲǤͲ͵ͶͲሻ ͲǤͳ͵ͳͺȗȗȗ ሺͲǤͲ͵ʹʹሻ ͲǤͲͲͺ ሺͲǤͲͷͻሻ ͳͺͶͻ ʹ ǣ Ǥȗ ͷΨǡȗȗ ͳΨǡȗȗȗ ͲǤͳΨǤǤ ǡ ǡǡǤ ǡʹͲͲͺǤ Ȁ Ȁ Ͷ ሺሻ −ͲǤͲͲͷʹ ሺͲǤͲͷͻͷሻ ͲǤͲͳͶͶ ሺͲǤͲʹͲሻ −ͲǤͳʹͳͷ ሺͲǤͳͳͲ͵ሻ −ͲǤͳʹͳͺ ሺͲǤͲ͵ͻሻ −ͲǤͲʹͷͶ ሺͲǤͲ͵ͷͲሻ ͲǤͲͳͻʹ ሺͲǤͲͶͲሻ ʹͶͺʹ Ȁ −ͲǤͲ͵ͺ ሺͲǤͲͶʹͻሻ −ͲǤͲʹͶͻ ሺͲǤͲͳͻሻ ͲǤͲʹͲʹ ሺͲǤͲ͵ሻ −ͲǤͲͶͺ ሺͲǤͲ͵ʹͶሻ −ͲǤͲ͵ͻͺ ሺͲǤͲʹ͵ͺሻ ͲǤͲʹͳʹ ሺͲǤͲʹʹͲሻ ͵ͳ −ͲǤͳͲͷȗ ሺͲǤͲͶͳሻ −ͲǤͲͷͻͺ ሺͲǤͲͶ͵ͻሻ −ͲǤͳͲͳ ሺͲǤͲʹሻ −ͲǤʹʹʹȗȗ ሺͲǤͲͻͻሻ −ͲǤͲͶͻͶ ሺͲǤͲͶͳሻ −ͲǤͳͺͺ͵ȗȗ ሺͲǤͲͳሻ ͳͳͶͶ −ͲǤͳͳͲȗ ሺͲǤͲͷͶ͵ሻ −ͲǤͲͻͺʹ ሺͲǤͲͷͺͺሻ −ͲǤͳͻ͵͵ȗȗ ሺͲǤͲͶሻ −ͲǤͲͻͳͻ ሺͲǤͲͻͳͶሻ −ͲǤͲͺͶ ሺͲǤͲͷͷʹሻ −ͲǤͲ ሺͲǤͳͲʹሻ ͵ −ͲǤͳͳͺ ሺͲǤͲͺሻ −ͲǤͲʹͻͲ ሺͲǤͲ͵ͳͻሻ −ͲǤͲͳͻ ሺͲǤͳʹͷͶሻ ͲǤͲʹͲ ሺͲǤͲͺሻ −ͲǤͲͷͳͻ ሺͲǤͲ͵ͷሻ −ͲǤͲʹʹͺ ሺͲǤͲͶ͵ሻ ͳͶ͵ͺ −ͲǤͳͶʹͶȗ ሺͲǤͲ͵ሻ −ͲǤͲͺͷ͵ ሺͲǤͲͶ͵ͺሻ −ͲǤͲͻͺͷ ሺͲǤͲሻ −ͲǤͳͺͳͳ ሺͲǤͳͳͲሻ −ͲǤͳͳͻͶȗ ሺͲǤͲͷͷʹሻ −ͲǤͳ͵͵ͳ ሺͲǤͳͳͶͺሻ Ͷͺ −ͲǤʹͶͶȗȗȗ ሺͲǤͲͶͺͳሻ −ͲǤʹͻͷʹȗȗȗ ሺͲǤͲ͵Ͷሻ −ͲǤʹʹͻȗȗȗ ሺͲǤͲͶͺ͵ሻ −ͲǤʹͺͺͷȗȗȗ ሺͲǤͲͷͶͶሻ −ͲǤʹͷ͵ȗȗȗ ሺͲǤͲͶͷͲሻ −ͲǤʹͺͻȗȗȗ ሺͲǤͲͶͺͺሻ ͳ͵ʹ −ͲǤͲ͵ͷ ሺͲǤͲͷͻሻ ͲǤͲͲͲ ሺͲǤͲͷ͵ͷሻ −ͲǤͲͲʹ͵ ሺͲǤͲͷͶሻ ͲǤͲͳ͵ͷ ሺͲǤͲͲʹሻ ͲǤͲͳͶʹ ሺͲǤͲʹͶሻ −ͲǤͳͲͳ ሺͲǤͲͺሻ ͺ −ͲǤͲʹʹʹ ሺͲǤͲͻʹʹሻ −ͲǤͲ͵͵ ሺͲǤͲʹͻͲሻ −ͲǤͳͲͳ ሺͲǤͳͲʹሻ −ͲǤͲͺͷͶ ሺͲǤͲ͵Ͳሻ −ͲǤͲʹͺͷ ሺͲǤͲͲͳሻ −ͲǤͲͲͻ ሺͲǤͲʹͻͻሻ ͳͳͲ −ͲǤͳʹͶ͵ ሺͲǤͳʹͻሻ −ͲǤͳͳͶͷȗ ሺͲǤͲͶͻͶሻ −ͲǤʹͷͲȗȗ ሺͲǤͲͺͺሻ −ͲǤͲ͵ʹ ሺͲǤͳʹͷͻሻ −ͲǤͳͶ͵ͺ ሺͲǤͲͺͻ͵ሻ ͲǤͳ͵ͳͺ ሺͲǤͲͻͲሻ ʹͺ −ͲǤͲͷͳȗ ሺͲǤͲʹͳሻ −ͲǤͲʹͶͷ ሺͲǤͲʹͶͶሻ −ͲǤͲͲͲȗ ሺͲǤͲ͵ʹሻ −ͲǤͳͲͶʹȗȗȗ ሺͲǤͲʹͶʹሻ −ͲǤͲ͵ͺͳ ሺͲǤͲʹͳͺሻ −ͲǤͲͳͳ ሺͲǤͲͶͶͲሻ ͶͶͳ͵ −ͲǤͲͻʹ ሺͲǤͲͶʹͶሻ −ͲǤͲͷͳ͵ ሺͲǤͲ͵ͻͻሻ −ͲǤͲʹͺͺ ሺͲǤͲͶͺሻ ͲǤͲͶʹʹ ሺͲǤͲͶ͵Ͷሻ −ͲǤͲͷʹͲ ሺͲǤͲͶʹͶሻ ͲǤʹͺͻͻȗ ሺͲǤͳʹͶͷሻ ͳʹ͵ ʹ ǣ Ǥȗ ͷΨǡȗȗ ͳΨǡȗȗȗ ͲǤͳΨǤǤ ͲǤͲͶͲͳ ሺͲǤͲͶͶͶሻ ͲǤͲͶͳ ሺͲǤͲʹʹͺሻ −ͲǤͲͶͻͶ ሺͲǤͲ͵ͷͲሻ −ͲǤͲͳͶͺ ሺͲǤͲ͵ʹሻ −ͲǤͲʹͲͶ ሺͲǤͲ͵ʹሻ ͲǤͲʹ͵Ͳ ሺͲǤͲʹͻሻ ʹͳͲͺ −ͲǤͳʹͺͺ ሺͲǤͲͺͳʹሻ −ͲǤͳͳͶͻȗȗȗ ሺͲǤͲʹͻͷሻ −ͲǤͲ͵ͺͲ ሺͲǤͳͺሻ ͲǤͳͻ͵ʹ ሺͲǤͳʹͶͲሻ −ͲǤͲͳͶʹ ሺͲǤͲͷ͵ሻ ͲǤͲʹ ሺͲǤͳͲͲͳሻ ͳ͵ͳ Ȁ ͷ ሺǡሻ ͲǤͲͻͳ ሺͲǤͲͷͻሻ ͲǤͲʹͳͳ ሺͲǤͲʹͷʹሻ −ͲǤͲͳ ሺͲǤͲͶ͵ሻ −ͲǤͲ͵ʹ ሺͲǤͲʹͺͶሻ −ͲǤͲʹͲʹ ሺͲǤͲʹͻ͵ሻ −ͲǤͲͶͲͳ ሺͲǤͲͷͷͺሻ ͳͺͶͻ ͲǤͲ ሺͲǤͳʹʹͲሻ −ͲǤͳͷͺ͵ȗȗ ሺͲǤͲͷͻͷሻ ͲǤͲͷ͵ʹ ሺͲǤͳͷʹሻ −ͲǤͲͲͲ ሺͲǤͲͳሻ −ͲǤͲʹͺʹ ሺͲǤͲͻሻ −ͲǤ͵ͻͶ͵ȗȗ ሺͲǤͳͳͻሻ ʹͲͲ͵ʹͲͲͺ Ȁ ʹͲͲ͵ ʹͲͲͺ ͲǤ͵ͳͶͺȗȗȗ ሺͲǤͲͷ͵ሻ ͲǤʹʹͻͺȗȗȗ ሺͲǤͲͷͻͻሻ ͲǤͳͳͳͻ ሺͲǤͲͻͶͳሻ ͲǤͲͲͻͻ ሺͲǤͳͷͳሻ ͲǤͳͺʹȗȗ ሺͲǤͲͷʹሻ ͲǤͲͲͶ ሺͲǤͳͳͳሻ Ͷ ʹͲͲ͵ ͲǤͶͶͲͺȗȗȗ ሺͲǤͲͷሻ ͲǤ͵͵Ͳȗȗȗ ሺͲǤͲ͵ʹሻ ͲǤͷͳͲͺȗȗȗ ሺͲǤͳͲͷͳሻ ͲǤ͵ͶͶȗ ሺͲǤͳͶ͵ͷሻ ͲǤ͵ͻ͵͵ȗȗȗ ሺͲǤͲͶͷሻ ͲǤͲʹʹͶ ሺͲǤͳͲͲͷሻ ͶͺͲ ʹͲͲͺ ͲǤͶʹͲȗȗȗ ሺͲǤͲͶͲሻ ͲǤͷͶ͵ͺȗȗȗ ሺͲǤͲͶͷͷሻ ͲǤͷʹͺͺȗȗȗ ሺͲǤͲͷͻ͵ሻ ͲǤ͵ͻͶȗȗȗ ሺͲǤͳͲͶሻ ͲǤ͵ͲͳͲȗȗȗ ሺͲǤͲ͵ͳͺሻ −ͲǤͲ͵ͻ ሺͲǤͲͶͷሻ ͳʹ͵ͳ ͲǤʹͷ͵ȗȗȗ ሺͲǤͲ͵Ͳሻ ͲǤ͵ͺͻ͵ȗȗȗ ሺͲǤͲʹͷሻ ͲǤ͵Ͳͺͳȗȗȗ ሺͲǤͲ͵ͺͷሻ ͲǤʹ͵ͻͺȗȗȗ ሺͲǤͲʹ͵ͺሻ ͲǤͳͶ͵Ͷȗȗȗ ሺͲǤͲʹͶͷሻ −ͲǤͲͳͻͲ ሺͲǤͲͶͶͻሻ ͵ͳͺʹ Ȁ − − − − − − ͲǤʹͷȗȗȗ ሺͲǤͲͷͷͻሻ ͲǤʹ͵Ͷ͵ȗȗȗ ሺͲǤͲͷ͵ͷሻ ͲǤ͵ͷͳͶȗȗȗ ሺͲǤͲͻͷͷሻ ͲǤͳ͵ͺͷ ሺͲǤͳͲͷͶሻ ͲǤʹͳͷͺȗȗȗ ሺͲǤͲʹሻ ͲǤͲʹͲ ሺͲǤͲͳͳሻ ͶͲͺ − − − − − − ͷͳ ͲǤͲͶͶȗȗ ሺͲǤͲͳͶͲሻ ͲǤͲ͵ͻȗȗȗ ሺͲǤͲͳͲͺሻ ͲǤͲ͵ͳͺ ሺͲǤͲͳʹሻ ͲǤͲͳͲ ሺͲǤͲͲͳሻ ͲǤͲͳͳͳ ሺͲǤͲͲͻሻ −ͲǤͲͲͶ ሺͲǤͲͲͷͳሻ ͵ͳͺʹ Ȁ Ȁ −ͲǤͲͶͷͺ ሺͲǤͲͲሻ −ͲǤͲͺͶ ሺͲǤͲͶͻሻ −ͲǤͳͳͺ ሺͲǤͳʹͲʹሻ −ͲǤͲʹͺͷ ሺͲǤͳͷͶሻ −ͲǤͲͲͳ ሺͲǤͲͺͷሻ ͲǤͲͶͶͳ ሺͲǤͳͶ͵ʹሻ ͶͷͶ −ͲǤʹͶͲͶȗ ሺͲǤͲͻͻʹሻ −ͲǤͳͻͲ ሺͲǤͳͲͲሻ −ͲǤʹ͵ͳȗ ሺͲǤͲͻͲ͵ሻ −ͲǤͳͷͺ͵ ሺͲǤͳͳͻͲሻ −ͲǤͳͺ͵ͺ ሺͲǤͳͲͲʹሻ −ͲǤʹͶͺȗ ሺͲǤͳʹͲሻ ʹͲͻ −ͲǤͲͺʹ ሺͲǤͲͻሻ −ͲǤͳͳͷ͵ ሺͲǤͲͻͲሻ ͲǤͲ͵ ሺͲǤͳͳʹͳሻ −ͲǤͲͷͻͲ ሺͲǤͳͷͳͺሻ −ͲǤͲʹͶ ሺͲǤͲͻͲ͵ሻ ͲǤ͵ͲͲ ሺͲǤ͵ͲͶͳሻ ͷʹͳ −ͲǤͲͻʹͷ ሺͲǤͲͶͻʹሻ −ͲǤͲͷ͵Ͳ ሺͲǤͲͶͷʹሻ −ͲǤͲʹ ሺͲǤͲͷͷሻ ͲǤͲͶʹ ሺͲǤͲͶ͵ሻ −ͲǤͲͶ ሺͲǤͲͷͶͶሻ ͲǤ͵ͲͻͲȗ ሺͲǤͳͶ͵Ͳሻ ͳʹͲʹ −ͲǤͳ͵Ͳͺȗ ሺͲǤͲͷͷͶሻ −ͲǤͲ͵ͳͲ ሺͲǤͲ͵ͳሻ −ͲǤͳͷͻ ሺͲǤͲͻ͵ͳሻ −ͲǤʹͻͲͻȗ ሺͲǤͳ͵ͷͻሻ −ͲǤͲͺͻͷ ሺͲǤͲͷͶሻ −ͲǤͳ͵Ͷ ሺͲǤͳͲͶሻ Ͷ −ͲǤͳʹͳͶ ሺͲǤͲሻ −ͲǤͳͲͶ ሺͲǤͲͷሻ −ͲǤͳͲͻͳ ሺͲǤͲͻ͵ʹሻ −ͲǤͳͶͶ ሺͲǤͳͳͶͷሻ −ͲǤͲʹͳ ሺͲǤͲʹͻሻ −ͲǤʹͶͷȗȗ ሺͲǤͲͻͷͷሻ ͶͺͲ ͲǤͲͲ͵ ሺͲǤͲͶͺͷሻ ͲǤͳͲͲȗ ሺͲǤͲͶͻሻ −ͲǤͲͳͶ ሺͲǤͲͷͺͶሻ ͲǤͲͳͷͺ ሺͲǤͲͻሻ ͲǤͲʹʹ ሺͲǤͲ͵ͺሻ ͲǤͲͺͶͶ ሺͲǤͲͲͲሻ ͳʹ͵ͳ −ͲǤͲͻͷͲȗȗ ሺͲǤͲ͵ͳʹሻ −ͲǤͲͷͻȗ ሺͲǤͲʹͺͳሻ −ͲǤͲͺ ሺͲǤͲͶͲͶሻ −ͲǤͳͲͺȗȗȗ ሺͲǤͲʹͷሻ −ͲǤͲͷͷȗ ሺͲǤͲʹͺͶሻ −ͲǤͲʹͻͶ ሺͲǤͲͷͺͷሻ ͵ͳͺʹ ǣ Ǥȗ ͷΨǡȗȗ ͳΨǡȗȗȗ ͲǤͳΨǤ ǤʹͲͲͺǤ ʹͺ Ǧ ̈́ Ǩ Ǧ Ǩ Ǥ ሺ ሻǨ ሺ ሻǨ ʹͲͲ͵ Ͷʹʹ ͵͵ሺʹͲͲሻ ʹͲͲ ͵ͶʹሺʹͲͲͺሻ ͲǤͷ ʹͲͲ͵ ͻͳሺʹͲͲሻ ͻͳሺʹͲͲሻ ʹͲͲͺ ʹͶ ʹͶ ʹͲͲͷ ͳͲሺʹͲͲͻሻ ͳͲሺʹͲͲͻሻ ʹͲͲȀʹͲͲ − Ͷ ʹʹሺʹͲͲͺሻ ʹͲͲ ʹʹሺʹͲͲͺሻ ʹͲͲ Ͷ Ͷ ʹͲͲ͵ ͲሺʹͲͲͶሻ ʹͲͲͺ Ȁ ͷͺͶ ʹͻʹ ǣሺሻǢ ̈́ሺሻǡǦሺሻǡሺሻǡ ሺሻǢ Ǩ Ǥ Ǥ ሺ ሻ ሺ ሻ ͳͲͲǤǣʹͲͳʹǡʹͲͳͲǡʹͲͲͺǤ ͳ ͳ Ǧ ʹͻ