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{'Lhash': '661802202083967214412255717138,1071660102155751148637238637831,1424696191882016722033108400053', 'a10': 0, 'a2': 0, 'a3': 0, 'a4': 0, 'a5': -3, 'a6': 0, 'a7': 6, 'a8': 0, 'a9': -3, 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 19038.385979130155, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [1]], [11, [1, -3, 3, -1]], [19, [1, -3, 3, -1]]], 'bad_primes': [2, 11, 19], 'central_character': '3344.1', 'coefficient_field': '1.1.1.1', 'conductor': 37393731584, 'conductor_radical': 418, 'degree': 6, 'euler_factors': [[1], [1, 0, 3, 3, 9, 0, 27], [1, 3, 6, 12, 30, 75, 125], [1, -6, 15, -27, 105, -294, 343], [1, -3, 3, -1], [1, 0, 21, -29, 273, 0, 2197], [1, 9, 69, 302, 1173, 2601, 4913], [1, -3, 3, -1], [1, -15, 135, -766, 3105, -7935, 12167], [1, -6, 63, -201, 1827, -5046, 24389], [1, -3, 42, -52, 1302, -2883, 29791], [1, 6, 87, 348, 3219, 8214, 50653], [1, 9, 78, 616, 3198, 15129, 68921], [1, -21, 222, -1622, 9546, 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'z1': {'__RealLiteral__': 0, 'data': '0.52206988421321736225961631490', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '0.845390758275827836033921617363', 'prec': 107}, 'z3': {'__RealLiteral__': 0, 'data': '1.12388712759297604209923031425', 'prec': 103}}
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{'algebraic': True, 'analytic_conductor': 19038.385979130155, 'bad_primes': [2, 11, 19], 'central_character': '1.1', 'conductor': 37393731584, 'conductor_radical': 418, 'degree': 6, 'dirichlet_coefficients': [1, 0, 0, 0, -3, 0, 6, 0, -3, 0, 3, 0, 0, 0, 0, 0, -9, 0, 3, 0, 0, 0, 15, 0, 3, 0, -3, 0, 6, 0, 3, 0, 0, 0, -18, 0, -6, 0, 0, 0, -9, 0, 21, 0, 9, 0, 12, 0, 21, 0, 0, 0, -9, 0, -9, 0, 0, 0, 3, 0, 24, 0, -18, 0, 0, 0, 0, 0, 0, 0, -21, 0, -3, 0, 0, 0, 18, 0, 6, 0, 0, 0, 33, 0, 27, 0, 0, 0, 6, 0, 0, 0, 0, 0, -9, 0, 12, 0, -9, 0], 'euler11': [1, -3, 3, -1, 0, 0, 0], 'euler13': [1, 0, 21, -29, 273, 0, 2197], 'euler17': [1, 9, 69, 302, 1173, 2601, 4913], 'euler19': [1, -3, 3, -1, 0, 0, 0], 'euler2': [1, 0, 0, 0, 0, 0, 0], 'euler23': [1, -15, 135, -766, 3105, -7935, 12167], 'euler29': [1, -6, 63, -201, 1827, -5046, 24389], 'euler3': [1, 0, 3, 3, 9, 0, 27], 'euler31': [1, -3, 42, -52, 1302, -2883, 29791], 'euler37': [1, 6, 87, 348, 3219, 8214, 50653], 'euler41': [1, 9, 78, 616, 3198, 15129, 68921], 'euler43': [1, -21, 222, -1622, 9546, -38829, 79507], 'euler47': [1, -12, 81, -456, 3807, -26508, 103823], 'euler5': [1, 3, 6, 12, 30, 75, 125], 'euler53': [1, 9, 69, 502, 3657, 25281, 148877], 'euler59': [1, -3, 153, -290, 9027, -10443, 205379], 'euler61': [1, -24, 339, -3120, 20679, -89304, 226981], 'euler67': [1, 0, 105, -123, 7035, 0, 300763], 'euler7': [1, -6, 15, -27, 105, -294, 343], 'euler71': [1, 21, 216, 1676, 15336, 105861, 357911], 'euler73': [1, 3, 213, 426, 15549, 15987, 389017], 'euler79': [1, -6, 105, -4, 8295, -37446, 493039], 'euler83': [1, -33, 594, -6582, 49302, -227337, 571787], 'euler89': [1, -6, 231, -924, 20559, -47526, 704969], 'euler97': [1, -12, 195, -2072, 18915, -112908, 912673], 'euler_factors': [[1, 0, 0, 0, 0, 0, 0], [1, 0, 3, 3, 9, 0, 27], [1, 3, 6, 12, 30, 75, 125], [1, -6, 15, -27, 105, -294, 343], [1, -3, 3, -1, 0, 0, 0], [1, 0, 21, -29, 273, 0, 2197], [1, 9, 69, 302, 1173, 2601, 4913], [1, -3, 3, -1, 0, 0, 0], [1, -15, 135, -766, 3105, -7935, 12167], [1, -6, 63, -201, 1827, -5046, 24389], [1, -3, 42, -52, 1302, -2883, 29791], [1, 6, 87, 348, 3219, 8214, 50653], [1, 9, 78, 616, 3198, 15129, 68921], [1, -21, 222, -1622, 9546, -38829, 79507], [1, -12, 81, -456, 3807, -26508, 103823], [1, 9, 69, 502, 3657, 25281, 148877], [1, -3, 153, -290, 9027, -10443, 205379], [1, -24, 339, -3120, 20679, -89304, 226981], [1, 0, 105, -123, 7035, 0, 300763], [1, 21, 216, 1676, 15336, 105861, 357911], [1, 3, 213, 426, 15549, 15987, 389017], [1, -6, 105, -4, 8295, -37446, 493039], [1, -33, 594, -6582, 49302, -227337, 571787], [1, -6, 231, -924, 20559, -47526, 704969], [1, -12, 195, -2072, 18915, -112908, 912673]], 'index': 0, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/3344/2/a/q'], 'is_instance_Artin': False, 'is_instance_BMF': False, 'is_instance_CMF': True, 'is_instance_DIR': False, 'is_instance_ECNF': False, 'is_instance_ECQ': False, 'is_instance_G2Q': False, 'is_instance_HMF': False, 'is_instance_MaassGL3': False, 'is_instance_MaassGL4': False, 'is_instance_MaassGSp4': False, 'is_instance_NF': False, 'label': '6-3344e3-1.1-c1e3-0-0', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [1, 1, 1], 'order_of_vanishing': 0, 'prelabel': '6-3344e3-1.1-c1e3-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 5.167395324137313, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e3-0', 'trace_hash': 1025920286869352625, 'z1': {'__RealLiteral__': 0, 'data': '0.52206988421321736225961631490', 'prec': 103}}
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{'Lhash': '661802202083967214412255717138,1071660102155751148637238637831,1424696191882016722033108400053', 'Lhash_array': ['661802202083967214412255717138', '1071660102155751148637238637831', '1424696191882016722033108400053'], 'label': '6-3344e3-1.1-c1e3-0-0', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/3344/2/a/q'}