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lfunc_lfunctions • Show schema
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{'Lhash': '929101166986753718606389290497', 'a10': [0.0, 0.0], 'a2': [0.0, 0.0], 'a3': [0.0, 0.0], 'a4': [0.0, 0.0], 'a5': [-0.8910065241883679, 0.4539904997395468], '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], [0.8910065241883679, -0.4539904997395468]]]], 'bad_primes': [2, 3, 5], 'central_character': '3600.287', 'coefficient_field': 'CDF', 'conductor': 3600, 'conductor_radical': 30, 'conjugate': '1429238762625367758966244196206', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [0.8910065241883679, -0.4539904997395468]], [[1.0, 0], [0, 0], [0, -1.0]], [[1.0, 0], [0, 0], [0.30901699437494745, 0.9510565162951535]], [[1.0, 0], [-0.14203952192020614, 0.8968022466674206], [-0.9510565162951535, 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'7.900248868954383470748883081983254', '8.600362995951573995479272816105876'], 'prelabel': '2-60e2-300.287-c0-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.3403857823323884, 'root_angle': -0.13204336199234817, 'root_number': '0.67513184655276946803942927735143 - 0.73769708537464599430692512262225*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '-0.13204336199234817', 'prec': 67}, 'spectral_label': 'c0-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.73293158763106898779783793541', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '2.08896588780027101286253778515', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.26171681890443191568351265737', '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': '300.287', 'conductor': 3600, 'conductor_radical': 30, 'degree': 2, 'index': 0, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/3600/1/dx/a/287/1'], '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': '2-60e2-300.287-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': '2-60e2-300.287-c0-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.3403857823323884, 'root_angle': -0.13204336199234817, 'self_dual': False, 'spectral_label': 'c0-0', 'z1': {'__RealLiteral__': 0, 'data': '0.73293158763106898779783793541', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '929101166986753718606389290497', 'Lhash_array': ['929101166986753718606389290497'], 'factors': ['2-60e2-300.287-c0-0-0'], 'label': '2-60e2-300.287-c0-0-0', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/3600/1/dx/a/287/1'}