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lfunc_lfunctions • Show schema
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{'Lhash': '967551879847761800014650583033', 'a10': [1.377614396780338, -2.8464326048202064], 'a2': [-0.2829712265322747, -1.3856144070248477], 'a3': [-0.32101540980995424, -0.32101540980995424], 'a4': [-1.8398545699096402, 0.7841780165132232], 'a5': [1.7771163951593454, 1.3571504404655563], 'a6': [-0.3539654524599746, 0.5356417009593417], 'a7': [-1.9124346444854923, 1.9124346444854923], 'a8': [1.6071942616412325, 2.327429183744909], 'a9': [0.0, -2.7938982133290944], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 3.034315276808656, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0.2829712265322747, 1.3856144070248477]]], [5, [[1.0, 0], [-1.7771163951593454, -1.3571504404655563]]], [19, [[1.0, 0], [1.0, 0]]]], 'bad_primes': [2, 5, 19], 'central_character': '380.267', 'coefficient_field': 'CDF', 'conductor': 380, 'conductor_radical': 190, 'conjugate': '2280921188227563238446082965970', 'degree': 2, 'euler_factors': 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'0.9540641319125782 - 0.2996024569290086*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '-0.048427020382', 'prec': 50}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.76326385178499702357865198015', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '3.21839442648448594619837931423', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '4.86264048233144003801518957432', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 3.034315276808656, 'bad_primes': [2, 5, 19], 'central_character': '20.7', 'conductor': 380, 'conductor_radical': 190, 'degree': 2, 'index': 10, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/380/2/k/d/267/12'], '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': '2-380-20.7-c1-0-10', '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': '2-380-20.7-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.7419286084132886, 'root_angle': -0.04842702038204909, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.76326385178499702357865198015', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '967551879847761800014650583033', 'Lhash_array': ['967551879847761800014650583033'], 'label': '2-380-20.7-c1-0-10', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/380/2/k/d/267/12'}