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We present multifrequency data of 4C +21.35 collected from centimeter to VHE during 2010 to investigate the properties of this source and discuss a possible emission model. The first hint of detection at VHE was observ","authors_text":"(10) Istituto Nazionale di Fisica Nucleare, 11), (11) Istituto Nazionale di Fisica Nucleare, (12) Dipartimento di Fisica \"M. Merlin\" dell'Universit\\`a e del Politecnico di Bari, 13), (13) Istituto Nazionale di Fisica Nucleare, (14) Laboratoire Leprince-Ringuet, (15) INAF-Istituto di Astrofisica Spaziale e Fisica Cosmica, (16) Agenzia Spaziale Italiana (ASI) Science Data Center, (17) Laboratoire AIM, (18) Center for Earth Observing, 19), (19) Istituto Nazionale di Astrofisica - Osservatorio Astronomico di Roma, (20) Laboratoire Univers et Particules de Montpellier, (21) Department of Physics, 22, (22) The Oskar Klein Centre for Cosmoparticle Physics, 23, (23) Royal Swedish Academy of Sciences Research Fellow, 24), (24) The Royal Swedish Academy of Sciences, (25) INAF Istituto di Radioastronomia, (26) Space Science Division, (27) Center for Research, 28), (28) Department of Physics, (29) Department of Physical Sciences, (2) Space Sciences Laboratory, 3), (30) NASA Goddard Space Flight Center, 31), (31) NASA Postdoctoral Program Fellow, (32) Institute for Cosmic-Ray Research, (33) Department of Physics, 34), (34) Osservatorio Astronomico di Trieste, (35) CNRS, 36), (36) GAHEC, 37), (37) Department of Astronomy, (38) Istituto Nazionale di Fisica Nucleare, (39) Hiroshima Astrophysical Science Center, (3) W. W. Hansen Experimental Physics Laboratory, 4), (40) Istituto Nazionale di Fisica Nucleare, (41) Center for Cosmology, 42), (42) Funded by contract FIRB-2012-RBFR12PM1F from the Italian Ministry of Education, (43) Institut fur Astro- und Teilchenphysik, (44) Max-Planck-Institut fur Kernphysik, (45) NYCB Real-Time Computing Inc., (46) Institute of Space, 47), (47) Astronomical Observatory, (48) Institut de Ciencies de l'Espai (IEEE-CSIC), 49), (49) Institucio Catalana de Recerca i Estudis Avancats (ICREA), (4) Dipartimento di Fisica, 5), 50), (50) Consorzio Interuniversitario per la Fisica Spaziale (CIFS), 51), (51) Dipartimento di Fisica, (52) Praxis Inc., (53) IFAE, (54) Dipartimento di Fisica, (55) INAF National Institute for Astrophysics, (56) Universit\\`a di Siena, (57) Croatian MAGIC Consortium, (58) Max-Planck-Institut fur Physik, (59) Universidad Complutense, (5) Istituto Nazionale di Fisica Nucleare, (60) Inst. de Astrofisica de Canarias, (61) University of Lodz, (62) ETH Zurich, (63) Universitat Wurzburg, (64) Centro de Investigaciones Energeticas, (65) Technische Universitat Dortmund, (66) Inst. de Astrofisica de Andalucia (CSIC), (67) Universit\\`a dell'Insubria, (68) Unitat de Fisica de les Radiacions, (69) Tuorla Observatory, (6) Istituto Nazionale di Fisica Nucleare, 7), (70) Japanese MAGIC Consortium, (71) Inst. for Nucl. Research, (72) Universitat de Barcelona (ICC/IEEC), (73) Universit\\`a di Pisa, 74), (74) Ecole polytechnique federale de Lausanne (EPFL), 75), (75) Department of Physics, 76), (76) Finnish Centre for Astronomy with ESO (FINCA), 77), (77) also at Instituto de Fisica Teorica, (78) Stockholm University, 79), (79) GRAPPA Institute, (7) Dipartimento di Fisica, (80) Department of Astronomy, 81), (81) Max-Planck-Institut fur Radioastronomie, (82) Pulkovo Observatory, (83) Cahill Center for Astronomy, 84, 84), (84) Astronomical Institute, (85) Harvard-Smithsonian Center for Astrophysics, (86) Department of Physics, (87) School of Cosmic Physics, (88) Astro Space Center of the Lebedev Physical Institute, (89) Abastumani Observatory, (8) Istituto Nazionale di Fisica Nucleare, 9), 90), (90) Engelhardt Astronomical Observatory, (91) Aalto University Metsahovi Radio Observatory, 92), (92) Isaac Newton Institute of Chile, (93) Department of Physics, 94), (94) Finnish Centre for Astronomy with ESO (FINCA), 95), (95) Universitat de Valencia, (9) Dipartimento di Fisica e Astronomia \"G. 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Fruck (58), CNRS/IN2P3, College of Science, Columbus, Como, Cosmology, Croatia, C. Schultz (8, C. Sgr\\`o (10), D. A. Blinov (82), D. A. Sanchez (44), D. Bastieri (8, D. Carreto Fidalgo (63), D. C. Homan (86), D. Dominis Prester (57), D. Donato (27, D. Dorner (63), D. Eisenacher (63), D. Elsaesser (63), Denison University, Departament de Fisica, Department of Astronomy, Department of Physics, D. Ferenc (57), D. F. Torres (48, D. Garrido Terrats (68), D. Gasparrini (16, D. Hadasch (49), D. Hildebrand (62), D. Horan (14), D. Hrupec (57), Division of Physics, D. J. Thompson (30), D. Lelas (57), D. L. Wood (52, D. Mazin (58), D. Nakajima (58), D. Paneque (58), D. Sobczynska (61), D. Tescaro (60), Dublin Institute for Advanced Studies, E. Angelakis (81), E. Antolini (4, E. Bernardini (1), E. Bissaldi (11), E. Bonamente (5, E. Carmona (64), E. Cavazzuti (16), Ecole polytechnique, E. Colombo (60), E. do Couto e Silva (3), E. Farina (67), E. J. Siskind (45), E. Lindfors (69, E. Lorenz (58), E. Nieppola (91, E. N. Kopatskaya (84), E. Nuss (20), E. Orlando (3), E. Prandini (8, E. Ros (81, E. Troja (30, Exploration in Space Science, F. Borracci (58), F. D'Ammando (25), F. Dazzi (8, F. de Palma (12, F. Gargano (13), F. Giordano (12, Finland, F. Longo (6, F. Loparco (12, F. Piron (20), F. Prada (66, France, Frascati (Roma), F. Spanier (63), F. Tavecchio (55), funded by a grant from the K. A. Wallenberg Foundation, F. Zandanel (66, G. A. Caliandro (3), G. Barbiellini (6, G. Bonnoli (55), G. Chiaro (9), G. De Caneva (1), George Mason University, Georgia, Germany, G. Giavitto (53), G. Godfrey (3), G. Iafrate (6, G. Maneva (71), G. Pivato (9), Granada, Granville, Greenbelt, Gruppo Collegato di Udine, G. Spandre (10), G. Tosti (5, G. Vianello (3, Heidelberg, Hiroshima University, H. Kellermann (58), H. Kubo (70), H. Takahashi (30), H. Takami (70), I. A. Grenier (17), I. Lozano (59), INFN Pisa, Institut fur Theoretische Physik, I. Puljak (57), IRAP, Ireland, Irvine, I. Snidaric (6, Istituto Nazionale di Astrofisica, Istituto Nazionale di Fisica Nucleare, Italy, I. V. Moskalenko (3), J. A. Barrio (59), Jagiellonian University, J. Aleksic (53), Japan, JAXA, J. Becerra Gonzalez (60), J. Bregeon (10), J. B. Thayer (3), J. Chiang (3), J. Cohen-Tanugi (20), J. Conrad (21, J. Cortina (53), J. E. McEnery (30, J. Finke (26), J. G. Thayer (3), J. Hose (58), J. Knodlseder (35, J. Krause (58), J. Kushida (70), J. Lande (3), J. L. Contreras (59), J. M. Miranda (56), J. M. Paredes (72), J. Rico (53), J. Rodriguez Garcia (58), J. Sitarek (53), J. S. Perkins (30), J. Storz (63), J. Thaele (65), J. Vandenbroucke (3), J. W. Hewitt (30), Kavli Institute for Particle Astrophysics, Kazan Federal University, K. Berger (60), K. Frantzen (65), K. Kodani (70), K. Mallot (1), K. Mannheim (63), K. Nishijima (70) K. Nilsson (69, Krakow, K. Saito (70), K. Satalecka (59), K. S. Wood (26), Kylmala, Kyoto University, L. A. Antonelli (55), L. A. Sigua (89), Lattingtown, Leopold-Franzens-Universitat Innsbruck, L. Font (68), L. Latronico (38), L. Maraschi (55), L. Stawarz (46, L. Takalo (69), M. Ackermann (1), Madrid, M. A. Gurwell (85), M. Ajello (2), M. Brigida (12, M. Doert (65), M. Doro (8, Medioambientales y Tecnologicas, M. E. Monzani (3), M. F. Aller (80), M. Garczarczyk (1), M. Gaug (68), M. Giroletti (25), M. G. Nikolashvili (89), M. Hayashida (32), Milano, M. Kuss (10), M. L. Knoetig (58), M. L. Lister (93), M. Lopez (59), M. Makariev (71), M. Mariotti (8, M. Martinez (53), M. Mayer (1), M. Meucci (56), M. N. Lovellette (26), M. N. Mazziotta (13), M. Orienti (25), Moscow, M. Palatiello (54), M. Persic (54, M. Pesce-Rollins (10), M. Razzano (10, M. Ribo (72), M. Salvati (55), M. Teshima (58), M. Tinivella (10), M. Tornikoski (91). ((1) Deutsches Elektronen Synchrotron DESY, Munchen, M. V. Fonseca (59), M. Werner (43), NASA Goddard Space Flight Center, Naval Research Laboratory, Netherlands, N. Gehrels (30), N. Giglietto (12, N. Godinovic (57), N. Lewandowska (63), N. Mankuzhiyil (54), N. Nowak (58), Nucl. Energy, N. V. Efimova (82, NY, O. Blanch (53), O. M. Kurtanidze (89, O. Reimer (43, Oskar Klein Centre for Cosmoparticle Physics, O. Tibolla (63), P. A. Caraveo (15), Palaiseau, P. Antoranz (56), Pasadena, P. Bangale (58), P. Bruel (14), P. Colin (58), P. Da Vela (56), P. F. Michelson (3), P. Fusco (12, P. G. Prada Moroni (73), Physics, P. Lubrano (5, P. Munar-Adrover (72), Poland, P. S. Drell (3), P. Spinelli (12, P. Temnikov (71), Purdue University, P. Vogler (62), R. A. Cameron (3), R. Bellazzini (10), R. Buehler (1), R. C. G. Chaves (17), R. Claus (3), R. E. Hughes (33), Research (MIUR), resident at Naval Research Laboratory, R. J. Garcia Lopez (60), R. K. Bock (58), R. Lopez-Coto (53), R. Mirzoyan (58), R. M. Wagner (58), R. Nemmen (30), Roma, Rome, R. Orito (70), R. Paoletti (56), R. Reinthal (69), Rudjer Boskovic Institute, Russia, R. Zanin (72), S. Ansoldi (54), S. 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