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lfunc_lfunctions • Show schema
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{'Lhash': '2517518016176178277653773320379', 'a10': [1.4016255127897317, 1.7422531164836301], 'a2': [-0.9096319953545183, -0.41541501300188644], 'a3': [-0.6427868237247144, 2.1891308828854137], 'a4': [0.6548607339452851, 0.7557495743542583], 'a5': [-1.998721512975348, -1.0025528981403105], 'a6': [1.4940972952289804, -1.724280196356214], 'a7': [-2.7031874245095464, -0.3886596762446483], 'a8': [-0.28173255684142967, -0.9594929736144974], 'a9': [-1.8553585231550207, -1.1923665214883972], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 1.8365592464894498, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0.9096319953545183, 0.41541501300188644]]], [5, [[1.0, 0], [1.998721512975348, 1.0025528981403105]]], [23, [[1.0, 0], [4.140650650750901, 2.419713245084247]]]], 'bad_primes': [2, 5, 23], 'central_character': '230.29', 'coefficient_field': 'CDF', 'conductor': 230, 'conductor_radical': 230, 'conjugate': 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'root_angle': 0.7174440874035622, 'root_number': '-0.6312165663137445 + 0.7756066312320223*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.358722043702', 'prec': 47}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.98597154115094583746294733820', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '3.84057466262550736757598469726', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '5.95205124409211841050523655244', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 1.8365592464894498, 'bad_primes': [2, 5, 23], 'central_character': '115.29', 'conductor': 230, 'conductor_radical': 230, 'degree': 2, 'index': 7, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/230/2/j/a/29/2'], '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': '2-230-115.29-c1-0-7', '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': '2-230-115.29-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.355197124587213, 'root_angle': 0.3587220437017811, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.98597154115094583746294733820', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2517518016176178277653773320379', 'Lhash_array': ['2517518016176178277653773320379'], 'label': '2-230-115.29-c1-0-7', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/230/2/j/a/29/2'}