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lfunc_lfunctions • Show schema
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{'Lhash': '2096850653767631660938817969026', 'a10': [-1.8458990211300554, 1.8947834101721133], 'a2': [0.2637536912195631, 1.3894005867164643], 'a3': [2.7321261993388144, 1.2740113697975994], 'a4': [-1.8608679807361108, 0.7329190666581883], 'a5': [1.0728752506760635, 1.5322246507359663], 'a6': [-1.049503774726943, 4.1320429457845815], 'a7': [-1.7267439843735357, -2.990808312598883], 'a8': [-1.5091289800220145, -2.3921809550403403], 'a9': [3.913045769680382, 4.663386354002171], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 2.427452221446925, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [-0.2637536912195631, -1.3894005867164643]]], [19, [[1.0, 0], [2.678898710497013, 3.438531910408487]]]], 'bad_primes': [2, 19], 'central_character': '304.3', 'coefficient_field': 'CDF', 'conductor': 304, 'conductor_radical': 38, 'conjugate': '3466547564311171214799739254951', 'degree': 2, 'euler_factors': [[[1.0, 0], 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{'__RealLiteral__': 0, 'data': '-0.315149391079', 'prec': 50}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.65412350484440432042279672792', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '2.58345201972462024974249410419', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.66033361538501984132993281849', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 2.427452221446925, 'bad_primes': [2, 19], 'central_character': '304.3', 'conductor': 304, 'conductor_radical': 38, 'degree': 2, 'index': 18, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/304/2/bg/a/3/22'], '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': '2-304-304.3-c1-0-18', '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': '2-304-304.3-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.55802831214549, 'root_angle': -0.31514939107939577, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.65412350484440432042279672792', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2096850653767631660938817969026', 'Lhash_array': ['2096850653767631660938817969026'], 'label': '2-304-304.3-c1-0-18', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/304/2/bg/a/3/22'}