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{'Lhash': '747644011703366161031822819203,1414042700349784048461975911015,1943280745887282517100962451794', 'a10': -3, 'a2': -3, 'a3': -1, 'a4': 6, 'a5': 1, 'a6': 3, 'a7': 0, 'a8': -10, 'a9': 0, 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 0.9590300022448855, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, 'bad_lfactors': [[2, [1, 3, 3, 1]], [13, [1, -3, 3, -1]], [19, [1, 3, 3, 1]]], 'bad_primes': [2, 13, 19], 'central_character': '1976.493', 'coefficient_field': '1.1.1.1', 'conductor': 7715442176, 'conductor_radical': 494, 'degree': 6, 'euler_factors': [[1, 3, 3, 1], [1, 1, 1, 1, 1, 1, 1], [1, -1, 1, -1, 1, -1, 1], [1, 0, -3, 0, 3, 0, -1], [1, -1, 1, -1, 1, -1, 1], [1, -3, 3, -1], [1, 1, 1, 1, 1, 1, 1], [1, 3, 3, 1], [1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1], [1, -1, 1, -1, 1, -1, 1], [1, 0, -3, 0, 3, 0, -1], [1, -1, 1, -1, 1, -1, 1], [1, 0, -3, 0, 3, 0, -1], [1, 0, -3, 0, 3, 0, -1], [1, 1, 1, 1, 1, 1, 1], [1, 0, -3, 0, 3, 0, -1], [1, 0, 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'root_analytic_conductor': 0.9930520957949854, 'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'sign_arg': 0, 'spectral_label': 'c0e3-0', 'trace_hash': 329798103928029899, 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.58978713185538617416976795906', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '1.11548300461909459115785985143', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '1.53297820829920470050134204519', 'prec': 103}}
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{'algebraic': True, 'analytic_conductor': 0.9590300022448855, 'bad_primes': [2, 13, 19], 'central_character': '1976.493', 'conductor': 7715442176, 'conductor_radical': 494, 'degree': 6, 'dirichlet_coefficients': [1, -3, -1, 6, 1, 3, 0, -10, 0, -3, 1, -6, 3, 0, -1, 15, -1, 0, -3, 6, 0, -3, -1, 10, 0, -9, 0, 0, -1, 3, 1, -21, -1, 3, 0, 0, 0, 9, -3, -10, 1, 0, 0, 6, 0, 3, 0, -15, 3, 0, 1, 18, -1, 0, 1, 0, 3, 3, 0, -6, 0, -3, 0, 28, 3, 3, 0, -6, 1, 0, 1, 0, 0, 0, 0, -18, 0, 9, 0, 15, 0, -3, 1, 0, -1, 0, 1, -10, 1, 0, 0, -6, -1, 0, -3, 21, 1, -9, 0, 0], 'euler11': [1, -1, 1, -1, 1, -1, 1], 'euler13': [1, -3, 3, -1, 0, 0, 0], 'euler17': [1, 1, 1, 1, 1, 1, 1], 'euler19': [1, 3, 3, 1, 0, 0, 0], 'euler2': [1, 3, 3, 1, 0, 0, 0], 'euler23': [1, 1, 1, 1, 1, 1, 1], 'euler29': [1, 1, 1, 1, 1, 1, 1], 'euler3': [1, 1, 1, 1, 1, 1, 1], 'euler31': [1, -1, 1, -1, 1, -1, 1], 'euler37': [1, 0, -3, 0, 3, 0, -1], 'euler41': [1, -1, 1, -1, 1, -1, 1], 'euler43': [1, 0, -3, 0, 3, 0, -1], 'euler47': [1, 0, -3, 0, 3, 0, -1], 'euler5': [1, -1, 1, -1, 1, -1, 1], 'euler53': [1, 1, 1, 1, 1, 1, 1], 'euler59': [1, 0, -3, 0, 3, 0, -1], 'euler61': [1, 0, -3, 0, 3, 0, -1], 'euler67': [1, 0, -3, 0, 3, 0, -1], 'euler7': [1, 0, -3, 0, 3, 0, -1], 'euler71': [1, -1, 1, -1, 1, -1, 1], 'euler73': [1, 0, -3, 0, 3, 0, -1], 'euler79': [1, 0, -3, 0, 3, 0, -1], 'euler83': [1, -1, 1, -1, 1, -1, 1], 'euler89': [1, -1, 1, -1, 1, -1, 1], 'euler97': [1, -1, 1, -1, 1, -1, 1], 'euler_factors': [[1, 3, 3, 1, 0, 0, 0], [1, 1, 1, 1, 1, 1, 1], [1, -1, 1, -1, 1, -1, 1], [1, 0, -3, 0, 3, 0, -1], [1, -1, 1, -1, 1, -1, 1], [1, -3, 3, -1, 0, 0, 0], [1, 1, 1, 1, 1, 1, 1], [1, 3, 3, 1, 0, 0, 0], [1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1], [1, -1, 1, -1, 1, -1, 1], [1, 0, -3, 0, 3, 0, -1], [1, -1, 1, -1, 1, -1, 1], [1, 0, -3, 0, 3, 0, -1], [1, 0, -3, 0, 3, 0, -1], [1, 1, 1, 1, 1, 1, 1], [1, 0, -3, 0, 3, 0, -1], [1, 0, -3, 0, 3, 0, -1], [1, 0, -3, 0, 3, 0, -1], [1, -1, 1, -1, 1, -1, 1], [1, 0, -3, 0, 3, 0, -1], [1, 0, -3, 0, 3, 0, -1], [1, -1, 1, -1, 1, -1, 1], [1, -1, 1, -1, 1, -1, 1], [1, -1, 1, -1, 1, -1, 1]], 'index': 0, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/1976/1/o/b'], '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': '6-1976e3-1976.493-c0e3-0-0', 'motivic_weight': 0, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [0, 0, 0], 'order_of_vanishing': 0, 'prelabel': '6-1976e3-1976.493-c0e3-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 0.9930520957949854, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c0e3-0', 'trace_hash': 329798103928029899, 'z1': {'__RealLiteral__': 0, 'data': '0.58978713185538617416976795906', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '747644011703366161031822819203,1414042700349784048461975911015,1943280745887282517100962451794', 'Lhash_array': ['747644011703366161031822819203', '1414042700349784048461975911015', '1943280745887282517100962451794'], 'label': '6-1976e3-1976.493-c0e3-0-0', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/1976/1/o/b'}