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lfunc_lfunctions • Show schema
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{'Lhash': '1570311012991331649858303117720', 'a10': [87.07248277160966, 0.0], 'a2': [-3.482899310864386, 0.0], 'a3': [-0.9312564653710144, 0.0], 'a4': [-19.869412390380386, 0.0], 'a5': [-25.0, 0.0], 'a6': [3.24347250147871, 0.0], 'a7': [0.0, 0.0], 'a8': [180.6559406693965, 0.0], 'a9': [-242.13276139570468, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 39.294035854180265, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '2.5', 'prec': 10}, 'bad_lfactors': [[5, [[1.0, 0], [25.0, 0]]], [7, [[1.0, 0], [0, 0]]]], 'bad_primes': [5, 7], 'central_character': '245.1', 'coefficient_field': 'CDF', 'conductor': 245, 'conductor_radical': 35, 'degree': 2, 'euler_factors': [[[1.0, 0], [3.482899310864386, 0], [32.0, 0]], [[1.0, 0], [0.9312564653710144, 0], [243.0, 0]], [[1.0, 0], [25.0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [-286.74935730398414, 0], [161051.0, 0]], [[1.0, 0], [-129.95713384040502, 0], [371293.0, 0]], [[1.0, 0], [-445.3335713507319, 0], [1419857.0, 0]], [[1.0, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 39.294035854180265, 'bad_primes': [5, 7], 'central_character': '1.1', 'conductor': 245, 'conductor_radical': 35, 'degree': 2, 'index': 41, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/245/6/a/l/1/4'], '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': '2-245-1.1-c5-0-41', 'motivic_weight': 5, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [5], 'order_of_vanishing': 1, 'prelabel': '2-245-1.1-c5-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 6.268495501647925, 'root_angle': 0.5, 'self_dual': True, 'spectral_label': 'c5-0', 'z1': {'__RealLiteral__': 0, 'data': '1.23875696718686591450149867692', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1570311012991331649858303117720', 'Lhash_array': ['1570311012991331649858303117720'], 'label': '2-245-1.1-c5-0-41', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/245/6/a/l/1/4'}