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lfunc_lfunctions • Show schema
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{'Lhash': '3648069589208399538659196436282', 'a10': [-2.0889326794956005, 0.7977219193022906], 'a2': [0.766044443118978, -0.6427876096865394], 'a3': [1.5643045173406551, -1.8642655284520775], 'a4': [0.17364817766693036, -0.984807753012208], 'a5': [-2.11298103688012, -0.7316496004133493], 'a6': [-1.3263790465575307e-60, -2.4336258100922343], 'a7': [-0.4240514169412044, -1.1650716927336964], 'a8': [-0.5, -0.8660254037844386], 'a9': [-0.5074928046015323, -2.8781347163234727], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 2.9544648747873756, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [-0.766044443118978, 0.6427876096865394]]], [5, [[1.0, 0], [2.11298103688012, 0.7316496004133493]]], [37, [[1.0, 0], [-5.515964250315448, 2.5640082662195027]]]], 'bad_primes': [2, 5, 37], 'central_character': '370.99', 'coefficient_field': 'CDF', 'conductor': 370, 'conductor_radical': 370, 'conjugate': 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'0.340087681537', 'prec': 47}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '2.87781947845218273984684754851', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '3.71170529841721226059506750873', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '4.44833830559324578971909464606', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 2.9544648747873756, 'bad_primes': [2, 5, 37], 'central_character': '185.99', 'conductor': 370, 'conductor_radical': 370, 'degree': 2, 'index': 19, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/370/2/v/a/99/9'], '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': '2-370-185.99-c1-0-19', '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': '2-370-185.99-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.7188556875978203, 'root_angle': 0.3400876815369083, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '2.87781947845218273984684754851', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '3648069589208399538659196436282', 'Lhash_array': ['3648069589208399538659196436282'], 'label': '2-370-185.99-c1-0-19', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/370/2/v/a/99/9'}