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lfunc_lfunctions • Show schema
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{'Lhash': '1914364583419248391292457198154', 'a10': [0.0, 0.0], 'a2': [0.0, 0.0], 'a3': [1.1911802274123993, 0.0], 'a4': [0.0, 0.0], 'a5': [3.2745706284301983, 0.0], 'a6': [0.0, 0.0], 'a7': [-4.859604840680731, 0.0], 'a8': [0.0, 0.0], 'a9': [-1.5810896658217446, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 48.16576249923635, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [13, [[1.0, 0], [-1.0, 0]]], [29, [[1.0, 0], [-1.0, 0]]]], 'bad_primes': [2, 13, 29], 'central_character': '6032.1', 'coefficient_field': 'CDF', 'conductor': 6032, 'conductor_radical': 754, 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [-1.1911802274123993, 0], [3.0, 0]], [[1.0, 0], [-3.2745706284301983, 0], [5.0, 0]], [[1.0, 0], [4.859604840680731, 0], [7.0, 0]], [[1.0, 0], [3.4014224622406215, 0], [11.0, 0]], [[1.0, 0], [-1.0, 0]], [[1.0, 0], [-7.522208689212855, 0], [17.0, 0]], [[1.0, 0], [0.3948436521617321, 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'6.33831019380432932513111044990836', '6.78258610438952809169824650171588', '7.922852313659994720761667325433227'], 'prelabel': '2-6032-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 6.940155797908023, 'root_angle': 1.0, 'root_number': '-1', 'self_dual': True, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.51016737819915345317252164707', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '2.59792359795614183816045409658', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.06595238618490123039656221687', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 48.16576249923635, 'bad_primes': [2, 13, 29], 'central_character': '1.1', 'conductor': 6032, 'conductor_radical': 754, 'degree': 2, 'index': 146, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/6032/2/a/bd/1/9'], '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': '2-6032-1.1-c1-0-146', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [1], 'order_of_vanishing': 1, 'prelabel': '2-6032-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 6.940155797908023, 'root_angle': 0.5, 'self_dual': True, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.51016737819915345317252164707', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1914364583419248391292457198154', 'Lhash_array': ['1914364583419248391292457198154'], 'label': '2-6032-1.1-c1-0-146', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/6032/2/a/bd/1/9'}