K. Ieki^1,49, M. Ikeda^1,49, J. Kameda^1,49, Y. Kanemura¹, Y. Kataoka^1,49, S. Miki¹, S. Mine^1,7, M. Miura^1,49, S. Moriyama^1,49, M. Nakahata^1,49, S. Nakayama^1,49, Y. Noguchi¹, G. Pronost¹, K. Sato¹, H. Sekiya^1,49, K. Shimizu¹, R. Shinoda¹, M. Shiozawa^1,49, Y. Suzuki¹, A. Takeda^1,49, Y. Takemoto^1,49, H. Tanaka^1,49, T. Yano¹, Y. Itow^2,32,33, T. Kajita^2,23,49, R. Nishijima², K. Okumura^2,49, T. Tashiro², T. Tomiya², X. Wang², P. Fernandez³, L. Labarga³, D. Samudio³, B. Zaldivar³, C. Yanagisawa^36,4, E. Kearns^49,5, J. Mirabito⁵, L. Wan⁵, T. Wester⁵, B. W. Pointon^53,6, J. Bian⁷, B. Cortez⁷, N. J. Griskevich⁷, Y. Jiang⁷, M. B. Smy^49,7, H. W. Sobel^49,7, V. Takhistov^25,7, A. Yankelevich⁷, J. Hill⁸, M. C. Jang⁹, S. H. Lee⁹, D. H. Moon⁹, R. G. Park⁹, B. S. Yang⁹, B. Bodur¹⁰, K. Scholberg^10,49, C. W. Walter^10,49, A. Beauchêne¹¹, O. Drapier¹¹, A. Ershova¹¹, Th. A. Mueller¹¹, A. D. Santos¹¹, P. Paganini¹¹, C. Quach¹¹, R. Rogly¹¹, T. Nakamura¹², J. S. Jang¹³, R. P. Litchfield¹⁴, L. N. Machado¹⁴, F. J. P. Soler¹⁴, J. G. Learned¹⁵, K. Choi¹⁶, N. Iovine¹⁶, S. Cao¹⁷, L. H. V. Anthony¹⁸, D. Martin¹⁸, N. W. Prouse¹⁸, M. Scott¹⁸, Y. Uchida¹⁸, V. Berardi¹⁹, N. F. Calabria¹⁹, M. G. Catanesi¹⁹, N. Ospina¹⁹, E. Radicioni¹⁹, A. Langella²⁰, G. De Rosa²⁰, G. Collazuol²¹, M. Feltre²¹, M. Mattiazzi²¹, L. Ludovici²², M. Gonin²³, L. Périssé²³, B. Quilain²³, S. Horiuchi²⁴, A. Kawabata²⁴, M. Kobayashi²⁴, Y. M. Liu²⁴, Y. Nishimura²⁴, R. Okazaki²⁴, R. Akutsu²⁵, M. Friend²⁵, T. Hasegawa²⁵, Y. Hino²⁵, T. Ishida²⁵, T. Kobayashi²⁵, M. Jakkapu²⁵, T. Matsubara²⁵, T. Nakadaira²⁵, K. Nakamura^25,49, Y. Oyama²⁵, A. Portocarrero Yrey²⁵, K. Sakashita²⁵, T. Sekiguchi²⁵, T. Tsukamoto²⁵, N. Bhuiyan²⁶, G. T. Burton²⁶, R. Kralik²⁶, N. Latham²⁶, F. Di Lodovico²⁶, J. Gao²⁶, T. Katori²⁶, J. Migenda²⁶, R. M. Ramsden²⁶, Z. Xie²⁶, S. Zsoldos^26,49, H. Ito²⁷, T. Sone²⁷, A. T. Suzuki²⁷, Y. Takagi²⁷, Y. Takeuchi^27,49, S. Wada²⁷, H. Zhong²⁷, J. Feng²⁸, L. Feng²⁸, S. Han²⁸, J. Hikida²⁸, J. R. Hu²⁸, Z. Hu²⁸, M. Kawaue²⁸, T. Kikawa²⁸, T. Nakaya^28,49, T. V. Ngoc²⁸, R. A. Wendell^28,49, K. Yasutome²⁸, S. J. Jenkins²⁹, N. McCauley²⁹, A. Tarrant²⁹, M. Fanì³⁰, M. J. Wilking³⁰, Z. Xie³⁰, Y. Fukuda³¹, H. Menjo³², Y. Yoshioka³², J. Lagoda³⁴, M. Mandal³⁴, Y. S. Prabhu³⁴, J. Zalipska³⁴, M. Mori³⁵, M. Jia³⁶, J. Jiang³⁶, W. Shi³⁶, K. Hamaguchi³⁷, H. Ishino³⁷, Y. Koshio^37,49, F. Nakanishi³⁷, S. Sakai³⁷, T. Tada³⁷, T. Tano³⁷, T. Ishizuka³⁸, G. Barr³⁹, D. Barrow³⁹, L. Cook^39,49, S. Samani³⁹, D. Wark^39,45, A. Holin⁴⁰, F. Nova⁴⁰, S. Jung⁴¹, J. Y. Yang⁴¹, J. Yoo⁴¹, J. E. P. Fannon⁴², L. Kneale⁴², M. Malek⁴², J. M. McElwee⁴², T. Peacock⁴², P. Stowell⁴², M. D. Thiesse⁴², L. F. Thompson⁴², S. T. Wilson⁴², H. Okazawa⁴³, S. M. Lakshmi⁴⁴, E. Kwon⁴⁶, M. W. Lee⁴⁶, J. W. Seo⁴⁶, I. Yu⁴⁶, A. K. Ichikawa⁴⁷, K. D. Nakamura⁴⁷, S. Tairafune⁴⁷, A. Eguchi⁴⁸, S. Goto⁴⁸, H. Hayasaki⁴⁸, S. Kodama⁴⁸, Y. Masaki⁴⁸, Y. Mizuno⁴⁸, T. Muro⁴⁸, K. Nakagiri⁴⁸, Y. Nakajima^48,49, N. Taniuchi⁴⁸, E. Watanabe⁴⁸, M. Yokoyama^48,49, P. de Perio⁴⁹, S. Fujita⁴⁹, C. Jesús-Valls⁴⁹, K. Martens⁴⁹, Ll. Marti⁴⁹, K. M. Tsui⁴⁹, M. R. Vagins^49,7, J. Xia⁴⁹, S. Izumiyama⁵⁰, M. Kuze⁵⁰, R. Matsumoto⁵⁰, K. Terada⁵⁰, R. Asaka⁵¹, M. Ishitsuka⁵¹, M. Shinoki⁵¹, M. Sugo⁵¹, M. Wako⁵¹, K. Yamauchi⁵¹, T. Yoshida⁵¹, Y. Nakano^52,*, F. Cormier⁵³, R. Gaur⁵³, V. Gousy-Leblanc^53,†, M. Hartz⁵³, A. Konaka⁵³, X. Li⁵³, B. R. Smithers⁵³, S. Chen⁵⁴, Y. Wu⁵⁴, B. D. Xu⁵⁴, A. Q. Zhang⁵⁴, B. Zhang⁵⁴, M. Girgus⁵⁵, P. Govindaraj⁵⁵, M. Posiadala-Zezula⁵⁵, Y. S. Prabhu⁵⁵, S. B. Boyd⁵⁶, R. Edwards⁵⁶, D. Hadley⁵⁶, M. Nicholson⁵⁶, M. O'Flaherty⁵⁶, B. Richards⁵⁶, A. Ali^53,57, B. Jamieson⁵⁷, S. Amanai⁵⁸, C. Bronner⁵⁸, D. Horiguchi⁵⁸, A. Minamino⁵⁸, Y. Sasaki⁵⁸, R. Shibayama⁵⁸, and R. Shimamura⁵⁸ (The Super-Kamiokande Collaboration)

• ¹Kamioka Observatory, Institute for Cosmic Ray Research, University of Tokyo, Kamioka, Gifu 506-1205, Japan
• ²Research Center for Cosmic Neutrinos, Institute for Cosmic Ray Research, University of Tokyo, Kashiwa, Chiba 277-8582, Japan
• ³Department of Theoretical Physics, University Autonoma Madrid, 28049 Madrid, Spain
• ⁴Science Department, Borough of Manhattan Community College/City University of New York, New York, New York 10007, USA
• ⁵Department of Physics, Boston University, Boston, Massachusetts 02215, USA
• ⁶Department of Physics, British Columbia Institute of Technology, Burnaby, British Columbia V5G 3H2, Canada
• ⁷Department of Physics and Astronomy, University of California, Irvine, Irvine, California 92697-4575, USA
• ⁸Department of Physics, California State University, Dominguez Hills, Carson, California 90747, USA
• ⁹Institute for Universe and Elementary Particles, Chonnam National University, Gwangju 61186, Korea
• ¹⁰Department of Physics, Duke University, Durham, North Carolina 27708, USA
• ¹¹Ecole Polytechnique, IN2P3-CNRS, Laboratoire Leprince-Ringuet, F-91120 Palaiseau, France
• ¹²Department of Physics, Gifu University, Gifu, Gifu 501-1193, Japan
• ¹³GIST College, Gwangju Institute of Science and Technology, Gwangju 500-712, Korea
• ¹⁴School of Physics and Astronomy, University of Glasgow, Glasgow, Scotland, G12 8QQ, United Kingdom
• ¹⁵Department of Physics and Astronomy, University of Hawaii, Honolulu, Hawaii 96822, USA
• ¹⁶Center for Underground Physics, Institute for Basic Science (IBS), Daejeon 34126, Korea
• ¹⁷Institute For Interdisciplinary Research in Science and Education, ICISE, Quy Nhon 55121, Vietnam
• ¹⁸Department of Physics, Imperial College London, London SW7 2AZ, United Kingdom
• ¹⁹Dipartimento Interuniversitario di Fisica, INFN Sezione di Bari and Università e Politecnico di Bari, I-70125, Bari, Italy
• ²⁰Dipartimento di Fisica, INFN Sezione di Napoli and Università di Napoli, I-80126, Napoli, Italy
• ²¹Dipartimento di Fisica, INFN Sezione di Padova and Università di Padova, I-35131, Padova, Italy
• ²²INFN Sezione di Roma and Università di Roma “La Sapienza”, I-00185, Roma, Italy
• ²³ILANCE, CNRS - University of Tokyo International Research Laboratory, Kashiwa, Chiba 277-8582, Japan
• ²⁴Department of Physics, Keio University, Yokohama, Kanagawa, 223-8522, Japan
• ²⁵High Energy Accelerator Research Organization (KEK), Tsukuba, Ibaraki 305-0801, Japan
• ²⁶Department of Physics, King's College London, London WC2R 2LS, United Kingdom
• ²⁷Department of Physics, Kobe University, Kobe, Hyogo 657-8501, Japan
• ²⁸Department of Physics, Kyoto University, Kyoto, Kyoto 606-8502, Japan
• ²⁹Department of Physics, University of Liverpool, Liverpool L69 7ZE, United Kingdom
• ³⁰School of Physics and Astronomy, University of Minnesota, Minneapolis, Minnesota 55455, USA
• ³¹Department of Physics, Miyagi University of Education, Sendai, Miyagi 980-0845, Japan
• ³²Institute for Space-Earth Environmental Research, Nagoya University, Nagoya, Aichi 464-8602, Japan
• ³³Kobayashi-Maskawa Institute for the Origin of Particles and the Universe, Nagoya University, Nagoya, Aichi 464-8602, Japan
• ³⁴National Centre For Nuclear Research, 02-093 Warsaw, Poland
• ³⁵National Institute of Technology, Numazu College, Numazu, Shizuoka 410-8501, Japan
• ³⁶Department of Physics and Astronomy, State University of New York at Stony Brook, New York 11794-3800, USA
• ³⁷Department of Physics, Okayama University, Okayama, Okayama 700-8530, Japan
• ³⁸Media Communication Center, Osaka Electro-Communication University, Neyagawa, Osaka 572-8530, Japan
• ³⁹Department of Physics, Oxford University, Oxford OX1 3PU, United Kingdom
• ⁴⁰Rutherford Appleton Laboratory, Harwell, Oxford OX11 0QX, United Kingdom
• ⁴¹Department of Physics and Astronomy, Seoul National University, Seoul 151-742, Korea
• ⁴²School of Mathematical and Physical Sciences, University of Sheffield, Sheffield S3 7RH, United Kingdom
• ⁴³Department of Informatics in Social Welfare, Shizuoka University of Welfare, Yaizu, Shizuoka 425-8611, Japan
• ⁴⁴August Chełkowski Institute of Physics, University of Silesia in Katowice, 75 Pułku Piechoty 1, 41-500 Chorzów, Poland
• ⁴⁵STFC, Rutherford Appleton Laboratory, Harwell Oxford, and Daresbury Laboratory, Warrington OX11 0QX, United Kingdom
• ⁴⁶Department of Physics, Sungkyunkwan University, Suwon 440-746, Korea
• ⁴⁷Department of Physics, Faculty of Science, Tohoku University, Sendai, Miyagi 980-8578, Japan
• ⁴⁸Department of Physics, University of Tokyo, Bunkyo, Tokyo 113-0033, Japan
• ⁴⁹Kavli Institute for the Physics and Mathematics of the Universe (WPI), The University of Tokyo Institutes for Advanced Study, University of Tokyo, Kashiwa, Chiba 277-8583, Japan
• ⁵⁰Department of Physics, Institute of Science Tokyo, Meguro, Tokyo 152-8551, Japan
• ⁵¹Department of Physics, Faculty of Science and Technology, Tokyo University of Science, Noda, Chiba 278-8510, Japan
• ⁵²Faculty of Science, University of Toyama, Toyama City, Toyama 930-8555, Japan
• ⁵³TRIUMF, 4004 Wesbrook Mall, Vancouver, British Columbia V6T2A3, Canada
• ⁵⁴Department of Engineering Physics, Tsinghua University, Beijing 100084, China
• ⁵⁵Faculty of Physics, University of Warsaw, Warsaw 02-093, Poland
• ⁵⁶Department of Physics, University of Warwick, Coventry CV4 7AL, UK
• ⁵⁷Department of Physics, University of Winnipeg, Manitoba R3J 3L8, Canada
• ⁵⁸Department of Physics, Yokohama National University, Yokohama, Kanagawa 240-8501, Japan

• ^*Contact author: ynakano@sci.u-toyama.ac.jp
• ^†Also at University of Victoria, Department of Physics and Astronomy, P. O. Box 1700 STN CSC, Victoria, BC V8W 2Y2, Canada.