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lfunc_lfunctions • Show schema
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{'Lhash': '2657014149492893063486087762959', 'a10': [0.0, 0.0], 'a2': [0.0, 0.0], 'a3': [2.9032119259115534, 0.0], 'a4': [0.0, 0.0], 'a5': [-1.0, 0.0], 'a6': [0.0, 0.0], 'a7': [-1.525427560843517, 0.0], 'a8': [0.0, 0.0], 'a9': [5.4286394867550705, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 18.52529326893706, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [5, [[1.0, 0], [1.0, 0]]], [29, [[1.0, 0], [-1.0, 0]]]], 'bad_primes': [2, 5, 29], 'central_character': '2320.1', 'coefficient_field': 'CDF', 'conductor': 2320, 'conductor_radical': 290, 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [-2.9032119259115534, 0], [3.0, 0]], [[1.0, 0], [1.0, 0]], [[1.0, 0], [1.525427560843517, 0], [7.0, 0]], [[1.0, 0], [4.903211925911553, 0], [11.0, 0]], [[1.0, 0], [6.4286394867550705, 0], [13.0, 0]], [[1.0, 0], [-2.1476431957754807, 0], [17.0, 0]], [[1.0, 0], [2.2809962909795893, 0], [19.0, 0]], 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'6.52055702165479018622212677102186', '7.50038557886195642778481924766329', '7.88002495231077656060814451814320', '8.387990829881667670066576221086411'], 'prelabel': '2-2320-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 4.30410191200639, 'root_angle': 1.0, 'root_number': '-1', 'self_dual': True, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '2.09601458715400040731379040194', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '2.70050274549717620539678227744', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.45396964382149648558793537038', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 18.52529326893706, 'bad_primes': [2, 5, 29], 'central_character': '1.1', 'conductor': 2320, 'conductor_radical': 290, 'degree': 2, 'index': 55, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/2320/2/a/s/1/3'], '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': '2-2320-1.1-c1-0-55', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [1], 'order_of_vanishing': 1, 'prelabel': '2-2320-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 4.30410191200639, 'root_angle': 0.5, 'self_dual': True, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '2.09601458715400040731379040194', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2657014149492893063486087762959', 'Lhash_array': ['2657014149492893063486087762959'], 'label': '2-2320-1.1-c1-0-55', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/2320/2/a/s/1/3'}