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lfunc_lfunctions • Show schema
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{'Lhash': '1146140975600461616911143919394', 'a10': [0.0, 0.0], 'a2': [0.0, 0.0], 'a3': [0.0, 0.0], 'a4': [0.0, 0.0], 'a5': [-0.9510565162951535, 0.30901699437494745], 'a6': [0.0, 0.0], 'a7': [0.0, 0.0], 'a8': [0.0, 0.0], 'a9': [0.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 1.7966340454788088, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [3, [[1.0, 0], [0, 0]]], [5, [[1.0, 0], [0.9510565162951535, -0.30901699437494745]]]], 'bad_primes': [2, 3, 5], 'central_character': '3600.1711', 'coefficient_field': 'CDF', 'conductor': 3600, 'conductor_radical': 30, 'conjugate': '1157335685061469335196946841801', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [0.9510565162951535, -0.30901699437494745]], [[1.0, 0], [0, 0], [-1.0, 0]], [[1.0, 0], [0, 0], [-0.30901699437494745, 0.9510565162951535]], [[1.0, 0], [-0.5, -0.36327126400268045], [0.30901699437494745, 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'prelabel': '2-60e2-100.11-c0-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.3403857823323884, 'root_angle': -0.02, 'root_number': '0.99211470131447783104979304278575 - 0.12533323356430424537311875981616*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '-0.02', 'prec': 17}, 'spectral_label': 'c0-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.904145807523073755808106257121', 'prec': 107}, 'z2': {'__RealLiteral__': 0, 'data': '2.22178423920937302092121240970', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.43840998083808990069544418817', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 1.7966340454788088, 'bad_primes': [2, 3, 5], 'central_character': '100.11', 'conductor': 3600, 'conductor_radical': 30, 'degree': 2, 'index': 0, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/3600/1/cj/a/1711/1'], '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': '2-60e2-100.11-c0-0-0', 'motivic_weight': 0, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [0], 'order_of_vanishing': 0, 'prelabel': '2-60e2-100.11-c0-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.3403857823323884, 'root_angle': -0.02, 'self_dual': False, 'spectral_label': 'c0-0', 'z1': {'__RealLiteral__': 0, 'data': '0.904145807523073755808106257121', 'prec': 107}}
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lfunc_instances • Show schema
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{'Lhash': '1146140975600461616911143919394', 'Lhash_array': ['1146140975600461616911143919394'], 'factors': ['2-60e2-100.11-c0-0-0'], 'label': '2-60e2-100.11-c0-0-0', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/3600/1/cj/a/1711/1'}