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lfunc_lfunctions • Show schema
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{'Lhash': '1660705614274730831215362827552', 'a10': [0, 0], 'a2': [0, 0], 'a3': [0, 32.56170913693734], 'a4': [0, 0], 'a5': [22.300404639314266, 0], 'a6': [0, 0], 'a7': [0, -493.46382866535544], 'a8': [0, 0], 'a9': [-331.26490191850843, 0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 69.9364414204347, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '3.0', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [19, [[1.0, 0], [0, -1573.562518618183]]]], 'bad_primes': [2, 19], 'central_character': '304.191', 'coefficient_field': 'CDF', 'conductor': 304, 'conductor_radical': 38, 'conjugate': '251042096982221241820151703586', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [0, -32.56170913693734], [-729.0, 0]], [[1.0, 0], [-22.300404639314266, 0], [15625.0, 0]], [[1.0, 0], [0, 493.46382866535544], [-117649.0, 0]], [[1.0, 0], [0, -1340.76594018474], [-1771561.0, 0]], [[1.0, 0], [-522.1995235071477, 0], [4826809.0, 0]], [[1.0, 0], [49.92853557334606, 0], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 69.9364414204347, 'bad_primes': [2, 19], 'central_character': '4.3', 'conductor': 304, 'conductor_radical': 38, 'degree': 2, 'index': 44, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/304/7/d/a/191/15'], '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': '2-304-4.3-c6-0-44', 'motivic_weight': 6, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [6], 'order_of_vanishing': 0, 'prelabel': '2-304-4.3-c6-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 8.362801051109294, 'root_angle': 0.25, 'self_dual': False, 'spectral_label': 'c6-0', 'z1': {'__RealLiteral__': 0, 'data': '1.31006573418238062821220533686', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1660705614274730831215362827552', 'Lhash_array': ['1660705614274730831215362827552'], 'label': '2-304-4.3-c6-0-44', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/304/7/d/a/191/15'}