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lfunc_lfunctions • Show schema
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{'Lhash': '1033101215959773553041572091266', 'a10': [0, 0], 'a2': [0, 15.757650672131263], 'a3': [0, 0], 'a4': [-120.30355470491884, 0], 'a5': [0, 0], 'a6': [0, 0], 'a7': [0, 34.42843763935072], 'a8': [0, 121.27789637705713], 'a9': [0, 0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 70.28663073392742, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '3.5', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [0, 0]]], [5, [[1.0, 0], [0, 0]]]], 'bad_primes': [3, 5], 'central_character': '225.199', 'coefficient_field': 'CDF', 'conductor': 225, 'conductor_radical': 15, 'conjugate': '1138852667433369373404470827559', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, -15.757650672131263], [-128.0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [0, -34.42843763935072], [-823543.0, 0]], [[1.0, 0], [-3963.549911868906, 0], [19487171.0, 0]], [[1.0, 0], [0, -5606.30415383616], [-62748517.0, 0]], [[1.0, 0], [0, 19906.71094098377], [-410338673.0, 0]], [[1.0, 0], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 70.28663073392742, 'bad_primes': [3, 5], 'central_character': '5.4', 'conductor': 225, 'conductor_radical': 15, 'degree': 2, 'index': 24, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/225/8/b/n/199/4'], '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': '2-15e2-5.4-c7-0-24', 'motivic_weight': 7, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [7], 'order_of_vanishing': 0, 'prelabel': '2-15e2-5.4-c7-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 8.38371222871631, 'root_angle': -0.32379180882521663, 'self_dual': False, 'spectral_label': 'c7-0', 'z1': {'__RealLiteral__': 0, 'data': '0.814973160406954973559761704327', 'prec': 107}}
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lfunc_instances • Show schema
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{'Lhash': '1033101215959773553041572091266', 'Lhash_array': ['1033101215959773553041572091266'], 'factors': ['2-15e2-5.4-c7-0-24'], 'label': '2-15e2-5.4-c7-0-24', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/225/8/b/n/199/4'}