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lfunc_lfunctions • Show schema
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{'Lhash': '849215452774163715720478188303', 'a10': [0.10583597957306042, -3.1605060900792155], 'a2': [-0.8814738079123775, -1.105895079094058], 'a3': [-1.135350400659511, 1.9664845783359544], 'a4': [-0.4460078519289059, 1.9496350930411985], 'a5': [1.700948244268502, 1.4514734135766663], 'a6': [3.1755072592802684, -0.4778262283299394], 'a7': [-0.5519359135096034, -2.587540675502188], 'a8': [2.54923609502194, -1.2253143808171396], 'a9': [-1.078041064555424, -1.8672218964556344], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 2.2358112565958517, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0.8814738079123775, 1.105895079094058]]], [5, [[1.0, 0], [-1.700948244268502, -1.4514734135766663]]], [7, [[1.0, 0], [0.5519359135096034, 2.587540675502188]]]], 'bad_primes': [2, 5, 7], 'central_character': '280.59', 'coefficient_field': 'CDF', 'conductor': 280, 'conductor_radical': 70, 'conjugate': 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'5.23906943608932422627869143233287', '5.66681526499709525840338196776221', '6.62783928993122860419926072167102', '7.63205253582419278958020351178525', '8.685355025281821331110573972597481', '9.429026906524232691145153290402093', '10.57180348038548870605754466849824', '11.69369555925463281965093591889457'], 'prelabel': '2-280-280.59-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.4952629389494851, 'root_angle': -0.5249989917959337, 'root_number': '-0.07845593812489718 - 0.9969175822368378*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '-0.262499495898', 'prec': 50}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.66991287080309818980257559082', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '2.27541810391901633308840184171', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '5.23906943608932422627869143233', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 2.2358112565958517, 'bad_primes': [2, 5, 7], 'central_character': '280.59', 'conductor': 280, 'conductor_radical': 70, 'degree': 2, 'index': 7, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/280/2/ba/b/59/13'], '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': '2-280-280.59-c1-0-7', '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': '2-280-280.59-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.4952629389494851, 'root_angle': -0.26249949589796684, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.66991287080309818980257559082', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '849215452774163715720478188303', 'Lhash_array': ['849215452774163715720478188303'], 'label': '2-280-280.59-c1-0-7', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/280/2/ba/b/59/13'}