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lfunc_lfunctions • Show schema
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{'Lhash': '2246113760198000231905581662', 'a10': [11.217632419286987, 0], 'a2': [0, -1.4142135623730951], 'a3': [0, 0], 'a4': [-2.0, 0], 'a5': [0, 7.932063952535886], 'a6': [0, 0], 'a7': [0.4536616327865019, 0], 'a8': [0, 2.8284271247461903], 'a9': [0, 0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 39.72762254373129, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 1.4142135623730951]]], [3, [[1.0, 0], [0, 0]]]], 'bad_primes': [2, 3], 'central_character': '1458.1457', 'coefficient_field': 'CDF', 'conductor': 1458, 'conductor_radical': 6, 'conjugate': '2205805838764200318104366530806', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 1.4142135623730951]], [[1.0, 0], [0, 0]], [[1.0, 0], [0, -7.932063952535886], [-25.0, 0]], [[1.0, 0], [-0.4536616327865019, 0], [49.0, 0]], [[1.0, 0], [0, 14.10387153120737], [-121.0, 0]], [[1.0, 0], [12.80080996984745, 0], [169.0, 0]], [[1.0, 0], [0, -32.97630653133344], [-289.0, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 39.72762254373129, 'bad_primes': [2, 3], 'central_character': '3.2', 'conductor': 1458, 'conductor_radical': 6, 'degree': 2, 'index': 0, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/1458/3/b/c/1457/17'], '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': '2-1458-3.2-c2-0-0', 'motivic_weight': 2, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [2], 'order_of_vanishing': 0, 'prelabel': '2-1458-3.2-c2-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 6.302985208909449, 'root_angle': 0.5, 'self_dual': False, 'spectral_label': 'c2-0', 'z1': {'__RealLiteral__': 0, 'data': '0.00177187133409916509943273341', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2246113760198000231905581662', 'Lhash_array': ['2246113760198000231905581662'], 'label': '2-1458-3.2-c2-0-0', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/1458/3/b/c/1457/17'}