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lfunc_lfunctions • Show schema
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{'Lhash': '914027771930650859895388522247', 'a10': [0, 0], 'a2': [0, 0], 'a3': [0, 0], 'a4': [0, 0], 'a5': [0, 0], 'a6': [0, 0], 'a7': [0, -3.0204479180442196], 'a8': [0, 0], 'a9': [0, 0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 57.4922894553219, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [3, [[1.0, 0], [0, 0]]], [5, [[1.0, 0], [0, 0]]]], 'bad_primes': [2, 3, 5], 'central_character': '7200.4751', 'coefficient_field': 'CDF', 'conductor': 7200, 'conductor_radical': 30, 'conjugate': '1016672276921542187340559387677', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [0, 3.0204479180442196], [-7.0, 0]], [[1.0, 0], [0, 3.622582728609198], [-11.0, 0]], [[1.0, 0], [0, -1.6961410243203068], [-13.0, 0]], [[1.0, 0], [0, -6.6042053366085085], [-17.0, 0]], [[1.0, 0], [-5.123105625617661, 0], [19.0, 0]], [[1.0, 0], [-6.670264050430886, 0], [23.0, 0]], 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'5.30157593873645526087194242323336', '5.55337088272105519513926167190481', '6.66384380087283948076258570738489', '7.41434248636300756092298655982738', '7.66648064299912809419144780228692'], 'prelabel': '2-7200-24.11-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 7.582367008746141, 'root_angle': 0.07650425317552258, 'root_number': '0.97125586209402020776859705573116973994142273852635906055 + 0.2380379178786472247942826585538818740584138212753147155*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.03825212658776129', 'prec': 64}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.72104077556235776264695721952', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '1.99836495583581967761633695524', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '2.70208251019265600033736130751', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 57.4922894553219, 'bad_primes': [2, 3, 5], 'central_character': '24.11', 'conductor': 7200, 'conductor_radical': 30, 'degree': 2, 'index': 38, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/7200/2/b/i/4751/2'], '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': '2-7200-24.11-c1-0-38', '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': '2-7200-24.11-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 7.582367008746141, 'root_angle': 0.03825212658776129, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.72104077556235776264695721952', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '914027771930650859895388522247', 'Lhash_array': ['914027771930650859895388522247'], 'label': '2-7200-24.11-c1-0-38', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/7200/2/b/i/4751/2'}