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lfunc_lfunctions • Show schema
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{'Lhash': '1077644173205689070125085239745', 'a10': [-3.178053000993614, -1.6384001951254707], 'a2': [1.2852651323181512, 1.0107436718106888], 'a3': [-0.8145759520503357, -0.5800569095711982], 'a4': [0.15878581922858653, 0.6545240615319147], 'a5': [-2.14723153918899, 0.41384495824824175], 'a6': [-0.4606572181560051, -1.5688544093761279], 'a7': [0.005336102809610716, 2.6457459299802024], 'a8': [0.901005130585323, -1.9729260356684895], 'a9': [0.32706796331742166, 0.9450008187146685], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 3.8567744176278445, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [0.8145759520503357, 0.5800569095711982]]], [7, [[1.0, 0], [-0.005336102809610716, -2.6457459299802024]]], [23, [[1.0, 0], [4.7797740192098965, -0.3921228446368165]]]], 'bad_primes': [3, 7, 23], 'central_character': '483.61', 'coefficient_field': 'CDF', 'conductor': 483, 'conductor_radical': 483, 'conjugate': 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'rational': False, 'root_analytic_conductor': 1.9638672097745928, 'root_angle': -0.5425946504082598, 'root_number': '-0.1334160391471778 - 0.9910601195176197*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '-0.271297325204', 'prec': 50}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.850111357981188715319102072404', 'prec': 107}, 'z2': {'__RealLiteral__': 0, 'data': '3.15141552474582344758592179813', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.93256008997156344220744047070', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 3.8567744176278445, 'bad_primes': [3, 7, 23], 'central_character': '161.61', 'conductor': 483, 'conductor_radical': 483, 'degree': 2, 'index': 9, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/483/2/bf/a/61/25'], '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': '2-483-161.61-c1-0-9', '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': '2-483-161.61-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.9638672097745928, 'root_angle': -0.2712973252041299, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.850111357981188715319102072404', 'prec': 107}}
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lfunc_instances • Show schema
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{'Lhash': '1077644173205689070125085239745', 'Lhash_array': ['1077644173205689070125085239745'], 'label': '2-483-161.61-c1-0-9', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/483/2/bf/a/61/25'}