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lfunc_lfunctions • Show schema
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{'Lhash': '1752439128113896373622722692023', 'a10': [-1.325679300066926, 0.49251841932466345], 'a2': [0.49251841932466345, 1.325679300066926], 'a3': [1.0, 0], 'a4': [-1.51485121325187, 1.3058429468007773], 'a5': [0, 1.0], 'a6': [0.49251841932466345, 1.325679300066926], 'a7': [4.387340605155065, 0], 'a8': [-2.477221088775046, -1.3650551920446934], 'a9': [1.0, 0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 10.540253066809015, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [-0.49251841932466345, -1.325679300066926]]], [3, [[1.0, 0], [-1.0, 0]]], [5, [[1.0, 0], [0, -1.0]]], [11, [[1.0, 0], [-3.0043074647639836, 1.405039735083462]]]], 'bad_primes': [2, 3, 5, 11], 'central_character': '1320.571', 'coefficient_field': 'CDF', 'conductor': 1320, 'conductor_radical': 330, 'conjugate': '1815193290469301047173438238602', 'degree': 2, 'euler_factors': [[[1.0, 0], [-0.49251841932466345, -1.325679300066926]], [[1.0, 0], 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'1.38243071694864897195084688247', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '1.80866084177175970901951459510', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.37457757543432882869263954603', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 10.540253066809015, 'bad_primes': [2, 3, 5, 11], 'central_character': '88.43', 'conductor': 1320, 'conductor_radical': 330, 'degree': 2, 'index': 62, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/1320/2/z/d/571/32'], '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': '2-1320-88.43-c1-0-62', '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': '2-1320-88.43-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 3.24657559080472, 'root_angle': -0.23946574705317245, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.38243071694864897195084688247', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1752439128113896373622722692023', 'Lhash_array': ['1752439128113896373622722692023'], 'factors': ['2-1320-88.43-c1-0-62'], 'label': '2-1320-88.43-c1-0-62', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/1320/2/z/d/571/32'}