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lfunc_lfunctions • Show schema
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{'Lhash': '1970498103133969169521639181434', 'a10': [6554174254124906000000, 0], 'a2': [5840378.404225725, 0], 'a3': [-10460353203.0, 0], 'a4': [25313926882338.22, 0], 'a5': [1122217397657440.2, 0], 'a6': [-61092420947374584, 0], 'a7': [-1551708886429441300, 0], 'a8': [96470400161292980000, 0], 'a9': [109418989131512370000, 0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 35.13311860371699, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '21.5', 'prec': 14}, 'bad_lfactors': [[3, [[1.0, 0], [10460353203.0, 0]]]], 'bad_primes': [3], 'central_character': '3.1', 'coefficient_field': 'CDF', 'conductor': 3, 'conductor_radical': 3, 'degree': 2, 'euler_factors': [[[1.0, 0], [-5840378.404225725, 0], [8796093022208.0, 0]], [[1.0, 0], [10460353203.0, 0]], [[1.0, 0], [-1122217397657440.2, 0], [1136868377216160300000000000000, 0]], [[1.0, 0], [1551708886429441300, 0], [2183814375991796600000000000000000000, 0]], [[1.0, 0], [-25047372950679370000000, 0], 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'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.55444891737454959864496374162', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '3.05741398354729471616315020819', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '4.53928643921455225669044805885', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 35.13311860371699, 'bad_primes': [3], 'central_character': '1.1', 'conductor': 3, 'conductor_radical': 3, 'degree': 2, 'index': 3, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/3/44/a/b/1/4'], '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': '2-3-1.1-c43-0-3', 'motivic_weight': 43, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [43], 'order_of_vanishing': 0, 'prelabel': '2-3-1.1-c43-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 5.927319681248599, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c43-0', 'z1': {'__RealLiteral__': 0, 'data': '1.55444891737454959864496374162', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1970498103133969169521639181434', 'Lhash_array': ['1970498103133969169521639181434'], 'label': '2-3-1.1-c43-0-3', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/3/44/a/b/1/4'}