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lfunc_lfunctions • Show schema
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{'Lhash': '1632241393991133928809261658939', 'a10': [-1.1214029122033913, 0.0], 'a2': [-1.1214029122033913, 0.0], 'a3': [0.38387113445042975, 0.0], 'a4': [-0.7424555085017532, 0.0], 'a5': [1.0, 0.0], 'a6': [-0.4304742080835315, 0.0], 'a7': [1.3455034802805343, 0.0], 'a8': [3.0753975938220983, 0.0], 'a9': [-2.85264295213574, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 48.18971761984273, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[5, [[1.0, 0], [-1.0, 0]]], [17, [[1.0, 0], [-1.0, 0]]], [71, [[1.0, 0], [1.0, 0]]]], 'bad_primes': [5, 17, 71], 'central_character': '6035.1', 'coefficient_field': 'CDF', 'conductor': 6035, 'conductor_radical': 6035, 'degree': 2, 'euler_factors': [[[1.0, 0], [1.1214029122033913, 0], [2.0, 0]], [[1.0, 0], [-0.38387113445042975, 0], [3.0, 0]], [[1.0, 0], [-1.0, 0]], [[1.0, 0], [-1.3455034802805343, 0], [7.0, 0]], [[1.0, 0], [-1.8584866005269816, 0], [11.0, 0]], [[1.0, 0], [0.12842345039146616, 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'3.97902547331589964086035435599097', '4.99333117067013987570544032667738', '5.47624712133499469670517651016740', '6.35348072425502012284484746074831', '7.31705921172961404201628748928399', '7.82607072743879342983484001358649'], 'prelabel': '2-6035-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 6.941881417875325, 'root_angle': 1.0, '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': '1.28761142360305209041041679560', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '2.03647047254962616645114179932', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.19693475516495074442141990315', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 48.18971761984273, 'bad_primes': [5, 17, 71], 'central_character': '1.1', 'conductor': 6035, 'conductor_radical': 6035, 'degree': 2, 'index': 276, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/6035/2/a/a/1/12'], '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': '2-6035-1.1-c1-0-276', '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': '2-6035-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 6.941881417875325, 'root_angle': 0.5, 'self_dual': True, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.28761142360305209041041679560', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1632241393991133928809261658939', 'Lhash_array': ['1632241393991133928809261658939'], 'label': '2-6035-1.1-c1-0-276', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/6035/2/a/a/1/12'}