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lfunc_lfunctions • Show schema
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{'Lhash': '1413375440482349574753588980224', 'a10': [0.0, 0.0], 'a2': [0.0, 0.0], 'a3': [-21516.434103454838, 0.0], 'a4': [0.0, 0.0], 'a5': [970773.6277243742, 0.0], 'a6': [0.0, 0.0], 'a7': [1640678.1425478254, 0.0], 'a8': [0.0, 0.0], 'a9': [333816773.5283145, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 7.328883493782392, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '8.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]]], 'bad_primes': [2], 'central_character': '4.1', 'coefficient_field': 'CDF', 'conductor': 4, 'conductor_radical': 2, 'conjugate': '1413375440482349574753588980224', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [21516.434103454838, 0], [129140163.0, 0]], [[1.0, 0], [-970773.6277243742, 0], [762939453125.0, 0]], [[1.0, 0], [-1640678.1425478254, 0], [232630513987207.0, 0]], [[1.0, 0], [78216645.8531812, 0], [505447028499293760, 0]], [[1.0, 0], [-2363399818.941896, 0], [8650415919381338000, 0]], [[1.0, 0], 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2.7071910707931925, 'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, 'spectral_label': 'c17-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.11495662939605257989208254741', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '5.16076977806956282797043243787', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '6.48035812582763516333469305742', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 7.328883493782392, 'bad_primes': [2], 'central_character': '1.1', 'conductor': 4, 'conductor_radical': 2, 'degree': 2, 'index': 0, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/4/18/a/a/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': '2-2e2-1.1-c17-0-0', 'motivic_weight': 17, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [17], 'order_of_vanishing': 0, 'prelabel': '2-2e2-1.1-c17-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.7071910707931925, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c17-0', 'z1': {'__RealLiteral__': 0, 'data': '1.11495662939605257989208254741', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1413375440482349574753588980224', 'Lhash_array': ['1413375440482349574753588980224'], 'label': '2-2e2-1.1-c17-0-0', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/4/18/a/a/1/1'}