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lfunc_lfunctions • Show schema
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{'Lhash': '2018847216563524495834978346177', 'a10': [0, 0], 'a2': [0, 0], 'a3': [0, 0], 'a4': [0, 0], 'a5': [-1.119622270866126, -1.9355738091275618], 'a6': [0, 0], 'a7': [-0.9884705876578052, 2.4541650102092634], 'a8': [0, 0], 'a9': [0, 0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 10.061150654681333, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [3, [[1.0, 0], [0, 0]]], [5, [[1.0, 0], [1.119622270866126, 1.9355738091275618]]], [7, [[1.0, 0], [0.9884705876578052, -2.4541650102092634]]]], 'bad_primes': [2, 3, 5, 7], 'central_character': '1260.233', 'coefficient_field': 'CDF', 'conductor': 1260, 'conductor_radical': 210, 'conjugate': '378259304979872013041681453765', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [1.119622270866126, 1.9355738091275618]], [[1.0, 0], [0.9884705876578052, -2.4541650102092634]], [[1.0, 0], [-2.7208927367426123, 1.5709081539944447], 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'9.370805388783230397704978268430967', '10.07945208336430681341311163136487'], 'prelabel': '2-1260-105.23-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 3.1719316913643225, 'root_angle': 0.748406541238016, 'root_number': '-0.7035581605615443767127525772677284460858938442904937573 + 0.7106376817389126761362474574662848425427815921647803272*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.374203270619008', 'prec': 57}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.59258964276122199195719726281', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '3.05619428430278365074638365975', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.90667403618615307989401741868', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 10.061150654681333, 'bad_primes': [2, 3, 5, 7], 'central_character': '105.23', 'conductor': 1260, 'conductor_radical': 210, 'degree': 2, 'index': 12, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/1260/2/ej/a/233/6'], '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': '2-1260-105.23-c1-0-12', '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': '2-1260-105.23-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 3.1719316913643225, 'root_angle': 0.374203270619008, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.59258964276122199195719726281', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2018847216563524495834978346177', 'Lhash_array': ['2018847216563524495834978346177'], 'label': '2-1260-105.23-c1-0-12', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/1260/2/ej/a/233/6'}