Formats: - HTML - YAML - JSON - 2026-09-11T01:27:19.093286
  • lfunc_lfunctions • Show schema
    {'Lhash': '1136545232277488714825747226243', 'a10': [0.0, 0.0], 'a2': [-1.7060701737296322, 0.0], 'a3': [0.0, 0.0], 'a4': [0.9106754376898576, 0.0], 'a5': [0.0, 0.0], 'a6': [0.0, 0.0], 'a7': [0.663739767996157, 0.0], 'a8': [1.8584641452684203, 0.0], 'a9': [0.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 66.47545968271595, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 4}, 'bad_lfactors': [[3, [[1.0, 0], [0, 0]]], [5, [[1.0, 0], [0, 0]]], [37, [[1.0, 0], [-1.0, 0]]]], 'bad_primes': [3, 5, 37], 'central_character': '8325.1', 'coefficient_field': 'CDF', 'conductor': 8325, 'conductor_radical': 555, 'degree': 2, 'euler_factors': [[[1.0, 0], [1.7060701737296322, 0], [2.0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [-0.663739767996157, 0], [7.0, 0]], [[1.0, 0], [-4.620332352934643, 0], [11.0, 0]], [[1.0, 0], [0.007422327917841625, 0], [13.0, 0]], [[1.0, 0], [-7.194245723547197, 0], [17.0, 0]], [[1.0, 0], [-2.480251386826262, 0], 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'5.03741839091751550445875763485887', '5.86572401518160359595563354247370', '6.62869365149884668534210920000867', '7.42974330195337793343109679019463', '7.79527913713107333935450530465050'], 'prelabel': '2-8325-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 8.15324841291592, 'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'sign_arg': 0, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.896576100759044872422466053791', 'prec': 100}, 'z2': {'__RealLiteral__': 0, 'data': '1.25410797349971780675882248607', 'prec': 100}, 'z3': {'__RealLiteral__': 0, 'data': '2.41255066414760367903019367966', 'prec': 100}}
  • lfunc_search • Show schema
    {'algebraic': True, 'analytic_conductor': 66.47545968271595, 'bad_primes': [3, 5, 37], 'central_character': '1.1', 'conductor': 8325, 'conductor_radical': 555, 'degree': 2, 'index': 119, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/8325/2/a/cr/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': '2-8325-1.1-c1-0-119', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [0], 'nu_real_doubled': [1], 'order_of_vanishing': 0, 'prelabel': '2-8325-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 8.15324841291592, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.896576100759044872422466053791', 'prec': 100}}
  • lfunc_instances • Show schema
    {'Lhash': '1136545232277488714825747226243', 'Lhash_array': ['1136545232277488714825747226243'], 'factors': ['2-8325-1.1-c1-0-119'], 'label': '2-8325-1.1-c1-0-119', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/8325/2/a/cr/1/2'}