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lfunc_lfunctions • Show schema
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{'Lhash': '1262541921881767838632524578836', 'a10': [0.0, 0.0], 'a2': [0.0, 0.0], 'a3': [-3.4587634959286446, 0.0], 'a4': [0.0, 0.0], 'a5': [1.0, 0.0], 'a6': [0.0, 0.0], 'a7': [-4.184441151495073, 0.0], 'a8': [0.0, 0.0], 'a9': [8.963044920768539, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 48.549044428938494, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [5, [[1.0, 0], [-1.0, 0]]], [19, [[1.0, 0], [-1.0, 0]]]], 'bad_primes': [2, 5, 19], 'central_character': '6080.1', 'coefficient_field': 'CDF', 'conductor': 6080, 'conductor_radical': 190, 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [3.4587634959286446, 0], [3.0, 0]], [[1.0, 0], [-1.0, 0]], [[1.0, 0], [4.184441151495073, 0], [7.0, 0]], [[1.0, 0], [-1.9196688511675624, 0], [11.0, 0]], [[1.0, 0], [-5.317698414034548, 0], [13.0, 0]], [[1.0, 0], [6.965186780078812, 0], [17.0, 0]], [[1.0, 0], [-1.0, 0]], [[1.0, 0], 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'5.67695998865017299867743634689214', '6.42258198144627225875736467050336', '6.67152215524700400964152915262512', '7.13832429975688783063695639516670'], 'prelabel': '2-6080-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 6.967714433653154, 'root_angle': 0.5, 'root_number': '-1', 'self_dual': True, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.995969963375127349746630382408', 'prec': 107}, 'z2': {'__RealLiteral__': 0, 'data': '2.03248822447565315694162862740', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.59653785666892968412569029625', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 48.549044428938494, 'bad_primes': [2, 5, 19], 'central_character': '1.1', 'conductor': 6080, 'conductor_radical': 190, 'degree': 2, 'index': 67, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/6080/2/a/ci/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': '2-6080-1.1-c1-0-67', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [1], 'order_of_vanishing': 1, 'prelabel': '2-6080-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 6.967714433653154, 'root_angle': 0.5, 'self_dual': True, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.995969963375127349746630382408', 'prec': 107}}
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lfunc_instances • Show schema
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{'Lhash': '1262541921881767838632524578836', 'Lhash_array': ['1262541921881767838632524578836'], 'factors': ['2-6080-1.1-c1-0-67'], 'label': '2-6080-1.1-c1-0-67', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/6080/2/a/ci/1/1'}