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lfunc_lfunctions • Show schema
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{'Lhash': '2058215967417011105566294179526', 'a10': [0, 0], 'a2': [0, 0], 'a3': [0.7071067811865476, -0.7071067811865476], 'a4': [0, 0], 'a5': [2.23606797749979, 2.23606797749979], 'a6': [0, 0], 'a7': [0, -4.576491222541474], 'a8': [0, 0], 'a9': [0, -1.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 12.265021750468673, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [3, [[1.0, 0], [-0.7071067811865476, 0.7071067811865476]]]], 'bad_primes': [2, 3], 'central_character': '1536.385', 'coefficient_field': 'CDF', 'conductor': 1536, 'conductor_radical': 6, 'conjugate': '1100191128289129162942623917383', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [-0.7071067811865476, 0.7071067811865476]], [[1.0, 0], [-2.23606797749979, -2.23606797749979], [0, 5.0]], [[1.0, 0], [0, 4.576491222541474], [-7.0, 0]], [[1.0, 0], [1.7480640977952844, 1.7480640977952844], [0, 11.0]], [[1.0, 0], [-1.0, 1.0], [0, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 12.265021750468673, 'bad_primes': [2, 3], 'central_character': '16.5', 'conductor': 1536, 'conductor_radical': 6, 'degree': 2, 'index': 26, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/1536/2/j/h/385/4'], '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': '2-1536-16.5-c1-0-26', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [1], 'order_of_vanishing': 0, 'prelabel': '2-1536-16.5-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 3.5021453068752977, 'root_angle': 0.1875, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.62364611119692392001815848341', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2058215967417011105566294179526', 'Lhash_array': ['2058215967417011105566294179526'], 'label': '2-1536-16.5-c1-0-26', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/1536/2/j/h/385/4'}