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  • lfunc_lfunctions • Show schema
    {'Lhash': '2555401329280626649534892444333', 'a10': [0.0, 0.0], 'a2': [0.0, 0.0], 'a3': [-0.41421356237309503, 0.0], 'a4': [0.0, 0.0], 'a5': [-0.585786437626905, 0.0], 'a6': [0.0, 0.0], 'a7': [-0.585786437626905, 0.0], 'a8': [0.0, 0.0], 'a9': [-2.8284271247461903, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 5.876989588766239, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 4}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [23, [[1.0, 0], [1.0, 0]]]], 'bad_primes': [2, 23], 'central_character': '736.1', 'coefficient_field': 'CDF', 'conductor': 736, 'conductor_radical': 46, 'conjugate': '2555401329280626649534892444333', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [0.41421356237309503, 0], [3.0, 0]], [[1.0, 0], [0.585786437626905, 0], [5.0, 0]], [[1.0, 0], [0.585786437626905, 0], [7.0, 0]], [[1.0, 0], [-4.242640687119285, 0], [11.0, 0]], [[1.0, 0], [3.8284271247461903, 0], [13.0, 0]], [[1.0, 0], [2.585786437626905, 0], [17.0, 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'9.244696166204226737522278002078213', '9.740226917698091581898934102726591'], 'prelabel': '2-736-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.424250314791408, 'root_angle': 0.5, 'root_number': '-1', 'self_dual': True, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 4}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '2.01585620581929199905505545309', 'prec': 100}, 'z2': {'__RealLiteral__': 0, 'data': '3.38957771621107220091477085205', 'prec': 100}, 'z3': {'__RealLiteral__': 0, 'data': '4.39067481870069225882672765725', 'prec': 100}}
  • lfunc_search • Show schema
    {'algebraic': True, 'analytic_conductor': 5.876989588766239, 'bad_primes': [2, 23], 'central_character': '1.1', 'conductor': 736, 'conductor_radical': 46, 'degree': 2, 'index': 17, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/736/2/a/d/1/1'], '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': '2-736-1.1-c1-0-17', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [0], 'nu_real_doubled': [1], 'order_of_vanishing': 1, 'prelabel': '2-736-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.424250314791408, 'root_angle': 0.5, 'self_dual': True, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '2.01585620581929199905505545309', 'prec': 100}}
  • lfunc_instances • Show schema
    {'Lhash': '2555401329280626649534892444333', 'Lhash_array': ['2555401329280626649534892444333'], 'factors': ['2-736-1.1-c1-0-17'], 'label': '2-736-1.1-c1-0-17', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/736/2/a/d/1/1'}