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lfunc_lfunctions • Show schema
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{'Lhash': '2008044406674007515949066912828', 'a10': [-1.583954860668719, -6.225967565342697], 'a2': [0.17756318733506396, -0.5464832984694917], 'a3': [0.0, 0.0], 'a4': [6.2050206449900704, 4.508211385736541], 'a5': [9.453038961730405, -5.969929177804956], 'a6': [0.0, 0.0], 'a7': [-2.6774350219061516, 0.0], 'a8': [7.284377148231033, -5.292409788220256], 'a9': [0.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 13.275429751291645, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.5', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [0, 0]]], [5, [[1.0, 0], [-9.453038961730405, 5.969929177804956]]]], 'bad_primes': [3, 5], 'central_character': '225.46', 'coefficient_field': 'CDF', 'conductor': 225, 'conductor_radical': 15, 'conjugate': '1562185659258770961753044572434', 'degree': 2, 'euler_factors': [[[1.0, 0], [-0.17756318733506396, 0.5464832984694917], [-6.47213595499958, -4.702282018339785]], [[1.0, 0], [0, 0]], [[1.0, 0], [-9.453038961730405, 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'z2': {'__RealLiteral__': 0, 'data': '2.69422626129935347788935221121', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '4.61042323565496317725993357258', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 13.275429751291645, 'bad_primes': [3, 5], 'central_character': '25.21', 'conductor': 225, 'conductor_radical': 15, 'degree': 2, 'index': 28, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/225/4/h/a/46/4'], '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': '2-15e2-25.21-c3-0-28', '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': '2-15e2-25.21-c3-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 3.6435463152389933, 'root_angle': 0.08070076357627397, 'self_dual': False, 'spectral_label': 'c3-0', 'z1': {'__RealLiteral__': 0, 'data': '1.58406772837284712867432854903', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2008044406674007515949066912828', 'Lhash_array': ['2008044406674007515949066912828'], 'label': '2-15e2-25.21-c3-0-28', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/225/4/h/a/46/4'}