Formats: - HTML - YAML - JSON - 2026-09-07T10:29:38.895112
  • lfunc_lfunctions • Show schema
    {'Lhash': '1865946947223148067040531119348', 'a10': [0.0, 0.0], 'a2': [0.0, 0.0], 'a3': [27.0, 0.0], 'a4': [0.0, 0.0], 'a5': [230.44171945293493, 0.0], 'a6': [0.0, 0.0], 'a7': [0.0, 0.0], 'a8': [0.0, 0.0], 'a9': [729.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 183.68239498466366, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '3.5', 'prec': 7}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [3, [[1.0, 0], [-27.0, 0]]], [7, [[1.0, 0], [0, 0]]]], 'bad_primes': [2, 3, 7], 'central_character': '588.1', 'coefficient_field': 'CDF', 'conductor': 588, 'conductor_radical': 42, 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [-27.0, 0]], [[1.0, 0], [-230.44171945293493, 0], [78125.0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [5027.092036170545, 0], [19487171.0, 0]], [[1.0, 0], [-13772.601266870439, 0], [62748517.0, 0]], [[1.0, 0], [32474.71176444077, 0], [410338673.0, 0]], [[1.0, 0], [9651.950950152828, 0], [893871739.0, 0]], [[1.0, 0], 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'2.29047745092843433565209089327902', '3.32705302034246304111447564701567', '4.44262303808077935854672547105388', '5.56302387563977546706794249060908', '6.39626558153849916078332449176616', '7.35972993514765062641935221386358', '8.646411207577870492610944207757982', '8.798662546833700358922201995876184'], 'prelabel': '2-588-1.1-c7-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 13.552947833761616, 'root_angle': 0.5, 'root_number': '-1', 'self_dual': True, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 4}, 'spectral_label': 'c7-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.47197259788083612472288540204', 'prec': 100}, 'z2': {'__RealLiteral__': 0, 'data': '2.29047745092843433565209089328', 'prec': 100}, 'z3': {'__RealLiteral__': 0, 'data': '3.32705302034246304111447564702', 'prec': 100}}
  • lfunc_search • Show schema
    {'algebraic': True, 'analytic_conductor': 183.68239498466366, 'bad_primes': [2, 3, 7], 'central_character': '1.1', 'conductor': 588, 'conductor_radical': 42, 'degree': 2, 'index': 44, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/588/8/a/f/1/2'], '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': '2-588-1.1-c7-0-44', 'motivic_weight': 7, 'mu_imag': [], 'mu_real': [], 'nu_imag': [0], 'nu_real_doubled': [7], 'order_of_vanishing': 1, 'prelabel': '2-588-1.1-c7-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 13.552947833761616, 'root_angle': 0.5, 'self_dual': True, 'spectral_label': 'c7-0', 'z1': {'__RealLiteral__': 0, 'data': '1.47197259788083612472288540204', 'prec': 100}}
  • lfunc_instances • Show schema
    {'Lhash': '1865946947223148067040531119348', 'Lhash_array': ['1865946947223148067040531119348'], 'factors': ['2-588-1.1-c7-0-44'], 'label': '2-588-1.1-c7-0-44', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/588/8/a/f/1/2'}