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lfunc_lfunctions • Show schema
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{'Lhash': '1429128183220785665128208065194', 'a10': [0, 0], 'a2': [0, 0], 'a3': [-2.5783511178587353, -4.511330791799312], 'a4': [0, 0], 'a5': [0, -5.0], 'a6': [0, 0], 'a7': [0, 10.990514972917227], 'a8': [0, 0], 'a9': [-13.704211026073219, 23.26358958013258], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 56.64183360551102, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [3, [[1.0, 0], [2.5783511178587353, 4.511330791799312]]], [5, [[1.0, 0], [0, 5.0]]]], 'bad_primes': [2, 3, 5], 'central_character': '960.191', 'coefficient_field': 'CDF', 'conductor': 960, 'conductor_radical': 30, 'conjugate': '356556195887760855091989855393', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [2.5783511178587353, 4.511330791799312]], [[1.0, 0], [0, 5.0]], [[1.0, 0], [0, -10.990514972917227], [-343.0, 0]], [[1.0, 0], [7.155751408988204, 0], [1331.0, 0]], [[1.0, 0], [-38.28605964112609, 0], [2197.0, 0]], [[1.0, 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'data': '2.92312760976941331229380992045', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.74422240475530507985430536084', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 56.64183360551102, 'bad_primes': [2, 3, 5], 'central_character': '12.11', 'conductor': 960, 'conductor_radical': 30, 'degree': 2, 'index': 68, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/960/4/h/b/191/5'], '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': '2-960-12.11-c3-0-68', 'motivic_weight': 3, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [3], 'order_of_vanishing': 0, 'prelabel': '2-960-12.11-c3-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 7.526076906696543, 'root_angle': 0.41736342082900507, 'self_dual': False, 'spectral_label': 'c3-0', 'z1': {'__RealLiteral__': 0, 'data': '1.12738335229240899454247460519', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1429128183220785665128208065194', 'Lhash_array': ['1429128183220785665128208065194'], 'label': '2-960-12.11-c3-0-68', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/960/4/h/b/191/5'}