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lfunc_lfunctions • Show schema
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{'Lhash': '717499421198944495300274997501', 'a10': [-1299.756061276768, 920.4622292370242], 'a2': [4.623475382979799, 6.528665666350192], 'a3': [0.0, 0.0], 'a4': [-21.2469507659596, 60.370249984151044], 'a5': [0.0, 199.08448796450438], 'a6': [0.0, 0.0], 'a7': [0.0, 19.665626717403523], 'a8': [-492.3719321703031, 140.4061266857056], 'a9': [0.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 16.563894020629274, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '3.0', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [-4.623475382979799, -6.528665666350192]]], [3, [[1.0, 0], [0, 0]]]], 'bad_primes': [2, 3], 'central_character': '72.19', 'coefficient_field': 'CDF', 'conductor': 72, 'conductor_radical': 6, 'conjugate': '3458938918378889801536364116542', 'degree': 2, 'euler_factors': [[[1.0, 0], [-4.623475382979799, -6.528665666350192]], [[1.0, 0], [0, 0]], [[1.0, 0], [0, -199.08448796450438], [-15625.0, 0]], [[1.0, 0], [0, -19.665626717403523], [-117649.0, 0]], [[1.0, 0], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 16.563894020629274, 'bad_primes': [2, 3], 'central_character': '8.3', 'conductor': 72, 'conductor_radical': 6, 'degree': 2, 'index': 7, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/72/7/b/b/19/4'], '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': '2-72-8.3-c6-0-7', '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': '2-72-8.3-c6-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 4.069876413434353, 'root_angle': 0.4557884024300708, 'self_dual': False, 'spectral_label': 'c6-0', 'z1': {'__RealLiteral__': 0, 'data': '0.56600724290255138206839217556', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '717499421198944495300274997501', 'Lhash_array': ['717499421198944495300274997501'], 'label': '2-72-8.3-c6-0-7', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/72/7/b/b/19/4'}