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lfunc_lfunctions • Show schema
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{'Lhash': '150598506774039042957361833034', 'a10': [-111.80128194984205, 0], 'a2': [0, -6.427155121883497], 'a3': [0, 5.196152422706632], 'a4': [-25.308322960753273, 0], 'a5': [0, -17.39514292554967], 'a6': [33.39647765768627, 0], 'a7': [0, -16.456432114849772], 'a8': [0, 59.82603559335114], 'a9': [-27.0, 0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 20.777362579852717, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '2.0', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [0, -5.196152422706632]]], [67, [[1.0, 0], [3328.049842834338, 3012.5081317085833]]]], 'bad_primes': [3, 67], 'central_character': '201.133', 'coefficient_field': 'CDF', 'conductor': 201, 'conductor_radical': 201, 'conjugate': '1897434484588021745167920408773', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 6.427155121883497], [-16.0, 0]], [[1.0, 0], [0, -5.196152422706632]], [[1.0, 0], [0, 17.39514292554967], [-625.0, 0]], [[1.0, 0], [0, 16.456432114849772], [-2401.0, 0]], [[1.0, 0], [0, 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'c4-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.11880127437870111780711913517', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '2.54503095275694768072433173225', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '4.38059557009602912106408999192', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 20.777362579852717, 'bad_primes': [3, 67], 'central_character': '67.66', 'conductor': 201, 'conductor_radical': 201, 'degree': 2, 'index': 0, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/201/5/b/a/133/5'], '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': '2-201-67.66-c4-0-0', 'motivic_weight': 4, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [4], 'order_of_vanishing': 0, 'prelabel': '2-201-67.66-c4-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 4.558219233412618, 'root_angle': -0.13291391328849683, 'self_dual': False, 'spectral_label': 'c4-0', 'z1': {'__RealLiteral__': 0, 'data': '0.11880127437870111780711913517', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '150598506774039042957361833034', 'Lhash_array': ['150598506774039042957361833034'], 'label': '2-201-67.66-c4-0-0', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/201/5/b/a/133/5'}