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lfunc_lfunctions • Show schema
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{'Lhash': '2554560946186479236450985549037', 'a10': [553.3685715879594, 0.0], 'a2': [17.826006563498538, 0.0], 'a3': [0.0, 0.0], 'a4': [189.76651000189293, 0.0], 'a5': [31.04276718494348, 0.0], 'a6': [0.0, 0.0], 'a7': [-1247.3451384753794, 0.0], 'a8': [1101.050212698141, 0.0], 'a9': [0.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 64.66370027521323, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '3.5', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [0, 0]]], [23, [[1.0, 0], [12167.0, 0]]]], 'bad_primes': [3, 23], 'central_character': '207.1', 'coefficient_field': 'CDF', 'conductor': 207, 'conductor_radical': 69, 'degree': 2, 'euler_factors': [[[1.0, 0], [-17.826006563498538, 0], [128.0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [-31.04276718494348, 0], [78125.0, 0]], [[1.0, 0], [1247.3451384753794, 0], [823543.0, 0]], [[1.0, 0], [-939.1141965433234, 0], [19487171.0, 0]], [[1.0, 0], [-10151.767916387913, 0], [62748517.0, 0]], [[1.0, 0], [33965.45960911518, 0], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 64.66370027521323, 'bad_primes': [3, 23], 'central_character': '1.1', 'conductor': 207, 'conductor_radical': 69, 'degree': 2, 'index': 58, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/207/8/a/a/1/5'], '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': '2-207-1.1-c7-0-58', 'motivic_weight': 7, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [7], 'order_of_vanishing': 1, 'prelabel': '2-207-1.1-c7-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 8.041374277772004, 'root_angle': 0.5, 'self_dual': True, 'spectral_label': 'c7-0', 'z1': {'__RealLiteral__': 0, 'data': '2.01519326045091043598140080430', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2554560946186479236450985549037', 'Lhash_array': ['2554560946186479236450985549037'], 'label': '2-207-1.1-c7-0-58', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/207/8/a/a/1/5'}