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lfunc_lfunctions • Show schema
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{'Lhash': '2548252714347956150850354807340', 'a10': [0.6535251190499749, -0.8194945789549654], 'a2': [0.0613959818596823, 0.26899337220364317], 'a3': [2.250690456692897, 2.8222765650488504], 'a4': [7.13916297551838, -3.4380396885400857], 'a5': [-2.368608098609281, -2.9701406111227087], 'a6': [-0.6209903400729277, 0.7786972565231257], 'a7': [9.47465508081523, 15.913230693343893], 'a8': [2.7393475573240678, 3.435033187957591], 'a9': [3.108427739045033, -13.618911766702322], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 2.8910935902812915, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.5', 'prec': 10}, 'bad_lfactors': [[7, [[1.0, 0], [-9.47465508081523, -15.913230693343893]]]], 'bad_primes': [7], 'central_character': '49.36', 'coefficient_field': 'CDF', 'conductor': 49, 'conductor_radical': 7, 'conjugate': '2892360841638901686478887229508', 'degree': 2, 'euler_factors': [[[1.0, 0], [-0.0613959818596823, -0.26899337220364317], [-7.207750943219353, 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'spectral_label': 'c3-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '2.01021694297242910710350703391', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '3.91728455000848427236199299437', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '6.47107745659173798076117583091', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 2.8910935902812915, 'bad_primes': [7], 'central_character': '49.36', 'conductor': 49, 'conductor_radical': 7, 'degree': 2, 'index': 5, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/49/4/e/a/36/7'], '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': '2-7e2-49.36-c3-0-5', 'motivic_weight': 3, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [3], 'order_of_vanishing': 0, 'prelabel': '2-7e2-49.36-c3-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.700321613778197, 'root_angle': -0.05869593208000966, 'self_dual': False, 'spectral_label': 'c3-0', 'z1': {'__RealLiteral__': 0, 'data': '2.01021694297242910710350703391', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2548252714347956150850354807340', 'Lhash_array': ['2548252714347956150850354807340'], 'label': '2-7e2-49.36-c3-0-5', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/49/4/e/a/36/7'}