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{'Lhash': '1149594719867968723772133004547,1406338092382977609532183543508,1617678133837954107305118719330,1638098572882497237244470331304,1979510815154860070082924516276,2258544694661433520375295680611', 'a10': 0, 'a2': -1, 'a3': 5, 'a4': 0, 'a5': 0, 'a6': -5, 'a7': -1, 'a8': 0, 'a9': 15, 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 21.143296619520427, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, 'bad_lfactors': [[2, [1, 1, 1, 1, 1, 1, 1]], [7, [1, 1, 1, 1, 1, 1, 1]], [17, [1, 1, 1, 1, 1, 1, 1]]], 'bad_primes': [2, 7, 17], 'central_character': '3332.1', 'coefficient_field': '1.1.1.1', 'conductor': 1368453221838661095424, 'conductor_radical': 238, 'degree': 12, 'euler_factors': [[1, 1, 1, 1, 1, 1, 1], [1, -5, 10, -10, 5, -1, 0, -1, 5, -10, 10, -5, 1], [1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1], [1, 1, 1, 1, 1, 1, 1], [1, -5, 10, -10, 5, -1, 0, -1, 5, -10, 10, -5, 1], [1, -5, 10, -10, 5, -1, 0, -1, 5, -10, 10, -5, 1], [1, 1, 1, 1, 1, 1, 1], [1, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 21.143296619520427, 'bad_primes': [2, 7, 17], 'central_character': '1.1', 'conductor': 1368453221838661095424, 'conductor_radical': 238, 'degree': 12, 'dirichlet_coefficients': [1, -1, 5, 0, 0, -5, -1, 0, 15, 0, 5, 0, 5, 1, 0, 0, -1, -15, 0, 0, -5, -5, -2, 0, -1, -5, 35, 0, 0, 0, -2, 0, 25, 1, 0, 0, 0, 0, 25, 0, 0, 5, 0, 0, 0, 2, 0, 0, 0, 1, -5, 0, -2, -35, 0, 0, 0, 0, 0, 0, 0, 2, -15, 0, 0, -25, 0, 0, -10, 0, -2, 0, 0, 0, -5, 0, -5, -25, -2, 0, 70, 0, 0, 0, 0, 0, 0, 0, -2, 0, -5, 0, -10, 0, 0, 0, 0, 0, 75, 0], 'euler11': [1, -5, 10, -10, 5, -1, 0, -1, 5, -10, 10, -5, 1], 'euler13': [1, -5, 10, -10, 5, -1, 0, -1, 5, -10, 10, -5, 1], 'euler17': [1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0], 'euler19': [1, 0, -6, 0, 15, 0, -20, 0, 15, 0, -6, 0, 1], 'euler2': [1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0], 'euler23': [1, 2, 3, 4, 5, 6, 7, 6, 5, 4, 3, 2, 1], 'euler29': [1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1], 'euler3': [1, -5, 10, -10, 5, -1, 0, -1, 5, -10, 10, -5, 1], 'euler31': [1, 2, 3, 4, 5, 6, 7, 6, 5, 4, 3, 2, 1], 'euler37': [1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1], 'euler41': [1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1], 'euler43': [1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1], 'euler47': [1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1], 'euler5': [1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1], 'euler53': [1, 2, 3, 4, 5, 6, 7, 6, 5, 4, 3, 2, 1], 'euler59': [1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1], 'euler61': [1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1], 'euler67': [1, 0, -6, 0, 15, 0, -20, 0, 15, 0, -6, 0, 1], 'euler7': [1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0], 'euler71': [1, 2, 3, 4, 5, 6, 7, 6, 5, 4, 3, 2, 1], 'euler73': [1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1], 'euler79': [1, 2, 3, 4, 5, 6, 7, 6, 5, 4, 3, 2, 1], 'euler83': [1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1], 'euler89': [1, 2, 3, 4, 5, 6, 7, 6, 5, 4, 3, 2, 1], 'euler97': [1, 0, -6, 0, 15, 0, -20, 0, 15, 0, -6, 0, 1], 'euler_factors': [[1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0], [1, -5, 10, -10, 5, -1, 0, -1, 5, -10, 10, -5, 1], [1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1], [1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0], [1, -5, 10, -10, 5, -1, 0, -1, 5, -10, 10, -5, 1], [1, -5, 10, -10, 5, -1, 0, -1, 5, -10, 10, -5, 1], [1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0], [1, 0, -6, 0, 15, 0, -20, 0, 15, 0, -6, 0, 1], [1, 2, 3, 4, 5, 6, 7, 6, 5, 4, 3, 2, 1], [1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1], [1, 2, 3, 4, 5, 6, 7, 6, 5, 4, 3, 2, 1], [1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1], [1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1], [1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1], [1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1], [1, 2, 3, 4, 5, 6, 7, 6, 5, 4, 3, 2, 1], [1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1], [1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1], [1, 0, -6, 0, 15, 0, -20, 0, 15, 0, -6, 0, 1], [1, 2, 3, 4, 5, 6, 7, 6, 5, 4, 3, 2, 1], [1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1], [1, 2, 3, 4, 5, 6, 7, 6, 5, 4, 3, 2, 1], [1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1], [1, 2, 3, 4, 5, 6, 7, 6, 5, 4, 3, 2, 1], [1, 0, -6, 0, 15, 0, -20, 0, 15, 0, -6, 0, 1]], 'index': 1, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/3332/1/be/b'], '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': '12-3332e6-1.1-c0e6-0-1', 'motivic_weight': 0, '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}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [0, 0, 0, 0, 0, 0], 'order_of_vanishing': 0, 'prelabel': '12-3332e6-1.1-c0e6-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 1.2895288372476066, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c0e6-0', 'trace_hash': 2293151806383850754, 'z1': {'__RealLiteral__': 0, 'data': '0.906870331352341292476389969740', 'prec': 107}}
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lfunc_instances • Show schema
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{'Lhash': '1149594719867968723772133004547,1406338092382977609532183543508,1617678133837954107305118719330,1638098572882497237244470331304,1979510815154860070082924516276,2258544694661433520375295680611', 'Lhash_array': ['1149594719867968723772133004547', '1406338092382977609532183543508', '1617678133837954107305118719330', '1638098572882497237244470331304', '1979510815154860070082924516276', '2258544694661433520375295680611'], 'label': '12-3332e6-1.1-c0e6-0-1', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/3332/1/be/b'}