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lfunc_lfunctions • Show schema
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{'Lhash': '511349058083197616091603280140', 'a10': [-7.0, 12.12435565298214], 'a2': [-1.0, -1.7320508075688772], 'a3': [0, 0], 'a4': [-2.0, 3.4641016151377544], 'a5': [-3.5, -6.06217782649107], 'a6': [0, 0], 'a7': [0, 0], 'a8': [8.0, 0], 'a9': [0, 0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 52.039684625063245, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [1.0, 1.7320508075688772]]], [3, [[1.0, 0], [0, 0]]], [7, [[1.0, 0], [0, 0]]]], 'bad_primes': [2, 3, 7], 'central_character': '882.361', 'coefficient_field': 'CDF', 'conductor': 882, 'conductor_radical': 42, 'conjugate': '1054740202992723890936739037022', 'degree': 2, 'euler_factors': [[[1.0, 0], [1.0, 1.7320508075688772]], [[1.0, 0], [0, 0]], [[1.0, 0], [3.5, 6.06217782649107], [-62.5, 108.25317547305482]], [[1.0, 0], [0, 0]], [[1.0, 0], [-17.5, 30.31088913245535], [-665.5, -1152.6798124370878]], [[1.0, 0], [66.0, 0], [2197.0, 0]], [[1.0, 0], [29.5, 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'sign_arg': {'__RealLiteral__': 0, 'data': '-0.020172953053946122', 'prec': 70}, 'spectral_label': 'c3-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.40338328084342301524641908582', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '2.07252921039306952139782110772', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.25449409154516855377114838133', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 52.039684625063245, 'bad_primes': [2, 3, 7], 'central_character': '7.4', 'conductor': 882, 'conductor_radical': 42, 'degree': 2, 'index': 13, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/882/4/g/d/361/1'], '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': '2-882-7.4-c3-0-13', 'motivic_weight': 3, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [3], 'order_of_vanishing': 0, 'prelabel': '2-882-7.4-c3-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 7.213853659803701, 'root_angle': -0.020172953053946126, 'self_dual': False, 'spectral_label': 'c3-0', 'z1': {'__RealLiteral__': 0, 'data': '0.40338328084342301524641908582', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '511349058083197616091603280140', 'Lhash_array': ['511349058083197616091603280140'], 'label': '2-882-7.4-c3-0-13', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/882/4/g/d/361/1'}