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lfunc_lfunctions • Show schema
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{'Lhash': '487330214937887761647262972750', 'a10': [8.0, 2.7453693674413447e-60], 'a2': [-1.618033988749895, 1.1755705045849463], 'a3': [-0.30901699437494745, -0.9510565162951535], 'a4': [0.6180339887498949, -1.902113032590307], 'a5': [-3.23606797749979, -2.3511410091698925], 'a6': [1.618033988749895, 1.1755705045849463], 'a7': [-0.30901699437494745, 0.9510565162951535], 'a8': [0.0, 0.0], 'a9': [-0.8090169943749475, 0.5877852522924731], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 2.8985695933724793, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [0.30901699437494745, 0.9510565162951535]]], [11, [[1.0, 0], [0, 0]]]], 'bad_primes': [3, 11], 'central_character': '363.124', 'coefficient_field': 'CDF', 'conductor': 363, 'conductor_radical': 33, 'conjugate': '1467751485593999807338937362886', 'degree': 2, 'euler_factors': [[[1.0, 0], [1.618033988749895, -1.1755705045849463], [0.6180339887498949, -1.902113032590307]], 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{'__RealLiteral__': 0, 'data': '3.59716559281281209627703992637', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 2.8985695933724793, 'bad_primes': [3, 11], 'central_character': '11.3', 'conductor': 363, 'conductor_radical': 33, 'degree': 2, 'index': 0, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/363/2/e/d/124/1'], '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': '2-363-11.3-c1-0-0', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [1], 'order_of_vanishing': 0, 'prelabel': '2-363-11.3-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.7025186029446138, 'root_angle': -0.2854342601392136, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.38443575449745238907659246676', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '487330214937887761647262972750', 'Lhash_array': ['487330214937887761647262972750'], 'label': '2-363-11.3-c1-0-0', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/363/2/e/d/124/1'}