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lfunc_lfunctions • Show schema
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{'Lhash': '937731183266730514778749036211', 'a10': [0.0, 0.0], 'a2': [0.0, 0.0], 'a3': [-1.0364938543508024, -1.0364938543508024], 'a4': [0.0, 0.0], 'a5': [1.6868296112531684, 1.6868296112531684], 'a6': [0.0, 0.0], 'a7': [-1.3855373136467666, 2.253949057208814], 'a8': [0.0, 0.0], 'a9': [0.0, -0.8513609797860348], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 3.577298010553363, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [7, [[1.0, 0], [1.3855373136467666, -2.253949057208814]]]], 'bad_primes': [2, 7], 'central_character': '448.111', 'coefficient_field': 'CDF', 'conductor': 448, 'conductor_radical': 14, 'conjugate': '2271933584073086233999275547926', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [1.0364938543508024, 1.0364938543508024], [0, 3.0]], [[1.0, 0], [-1.6868296112531684, -1.6868296112531684], [0, 5.0]], [[1.0, 0], [1.3855373136467666, -2.253949057208814]], [[1.0, 0], [-2.0, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 3.577298010553363, 'bad_primes': [2, 7], 'central_character': '112.83', 'conductor': 448, 'conductor_radical': 14, 'degree': 2, 'index': 1, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/448/2/j/d/111/4'], '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': '2-448-112.83-c1-0-1', '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': '2-448-112.83-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.8913746351670688, 'root_angle': -0.1812549674057093, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.73973947008576355208413646170', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '937731183266730514778749036211', 'Lhash_array': ['937731183266730514778749036211'], 'label': '2-448-112.83-c1-0-1', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/448/2/j/d/111/4'}