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lfunc_lfunctions • Show schema
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{'Lhash': '176122910989413815133849641068', 'a10': [0, 0], 'a2': [0, 0], 'a3': [0.8480705121601534, 0.8480705121601534], 'a4': [0, 0], 'a5': [0, 0], 'a6': [0, 0], 'a7': [-0.4060393759040584, 2.6144085421401613], 'a8': [0, 0], 'a9': [0, -1.5615528128088303], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 11.179056282979259, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [5, [[1.0, 0], [0, 0]]], [7, [[1.0, 0], [0.4060393759040584, -2.6144085421401613]]]], 'bad_primes': [2, 5, 7], 'central_character': '1400.657', 'coefficient_field': 'CDF', 'conductor': 1400, 'conductor_radical': 70, 'conjugate': '2658416631185632710041200877190', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [-0.8480705121601534, -0.8480705121601534], [0, 3.0]], [[1.0, 0], [0, 0]], [[1.0, 0], [0.4060393759040584, -2.6144085421401613]], [[1.0, 0], [2.5615528128088303, 0], [11.0, 0]], [[1.0, 0], [2.1723774058840664, 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'data': '0.48762626969129397', 'prec': 64}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.13893647899326867015813084062', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '1.97059069266628310960631849752', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '2.64828042569146568712615891199', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 11.179056282979259, 'bad_primes': [2, 5, 7], 'central_character': '35.27', 'conductor': 1400, 'conductor_radical': 70, 'degree': 2, 'index': 1, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/1400/2/x/a/657/6'], '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': '2-1400-35.27-c1-0-1', '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': '2-1400-35.27-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 3.343509575727167, 'root_angle': 0.4876262696912939, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.13893647899326867015813084062', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '176122910989413815133849641068', 'Lhash_array': ['176122910989413815133849641068'], 'label': '2-1400-35.27-c1-0-1', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/1400/2/x/a/657/6'}