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lfunc_lfunctions • Show schema
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{'Lhash': '2995819145962338152368440286983', 'a10': [61.343465936279, -3.4995133420850307e-60], 'a2': [-4.898979485566356, -2.8284271247461903], 'a3': [25.69243636975563, -8.300524886177866], 'a4': [16.0, 27.712812921102035], 'a5': [-9.391261912355294, 5.4220475931286085], 'a6': [-149.34414844734803, -32.005082792213976], 'a7': [322.04122866563233, -557.7917701807819], 'a8': [0.0, -181.01933598375618], 'a9': [591.2025732278838, -426.5214149473959], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 4.140973505157318, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '3.0', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [4.898979485566356, 2.8284271247461903]]], [3, [[1.0, 0], [-25.69243636975563, 8.300524886177866]]]], 'bad_primes': [2, 3], 'central_character': '18.11', 'coefficient_field': 'CDF', 'conductor': 18, 'conductor_radical': 6, 'conjugate': '1806266380011574922567525649678', 'degree': 2, 'euler_factors': [[[1.0, 0], [4.898979485566356, 2.8284271247461903]], [[1.0, 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'data': '7.86653001350429968364917711616', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 4.140973505157318, 'bad_primes': [2, 3], 'central_character': '9.2', 'conductor': 18, 'conductor_radical': 6, 'degree': 2, 'index': 4, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/18/7/d/a/11/3'], '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': '2-18-9.2-c6-0-4', 'motivic_weight': 6, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [6], 'order_of_vanishing': 0, 'prelabel': '2-18-9.2-c6-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.0349382067171766, 'root_angle': 0.17830984105804074, 'self_dual': False, 'spectral_label': 'c6-0', 'z1': {'__RealLiteral__': 0, 'data': '2.36328460336228856892955483412', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2995819145962338152368440286983', 'Lhash_array': ['2995819145962338152368440286983'], 'label': '2-18-9.2-c6-0-4', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/18/7/d/a/11/3'}