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lfunc_lfunctions • Show schema
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{'Lhash': '1163940505637361446371493349840', 'a10': [2.464382247116641, 0.0], 'a2': [-2.464382247116641, 0.0], 'a3': [-1.0, 0.0], 'a4': [4.073179859903664, 0.0], 'a5': [-1.0, 0.0], 'a6': [2.464382247116641, 0.0], 'a7': [-1.1504372776166447, 0.0], 'a8': [-5.1091076418263555, 0.0], 'a9': [1.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 63.361294003886016, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [1.0, 0]]], [5, [[1.0, 0], [1.0, 0]]], [23, [[1.0, 0], [0, 0]]]], 'bad_primes': [3, 5, 23], 'central_character': '7935.1', 'coefficient_field': 'CDF', 'conductor': 7935, 'conductor_radical': 345, 'degree': 2, 'euler_factors': [[[1.0, 0], [2.464382247116641, 0], [2.0, 0]], [[1.0, 0], [1.0, 0]], [[1.0, 0], [1.0, 0]], [[1.0, 0], [1.1504372776166447, 0], [7.0, 0]], [[1.0, 0], [-4.096951083114973, 0], [11.0, 0]], [[1.0, 0], [2.4704241371305113, 0], [13.0, 0]], [[1.0, 0], [2.96073195135017, 0], [17.0, 0]], [[1.0, 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'5.73357681313496001742697178591565', '6.57237309872005636763540143737722', '6.83375943011653014179681184032802', '7.62953846770193087486443865015268'], 'prelabel': '2-7935-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 7.959980779115362, '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': '0.918187160900491144939478693317', 'prec': 107}, 'z2': {'__RealLiteral__': 0, 'data': '1.85087053866434054195016408462', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '2.78981984808353749677515974332', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 63.361294003886016, 'bad_primes': [3, 5, 23], 'central_character': '1.1', 'conductor': 7935, 'conductor_radical': 345, 'degree': 2, 'index': 154, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/7935/2/a/bp/1/1'], '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': '2-7935-1.1-c1-0-154', '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': '2-7935-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 7.959980779115362, 'root_angle': 0.5, 'self_dual': True, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.918187160900491144939478693317', 'prec': 107}}
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lfunc_instances • Show schema
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{'Lhash': '1163940505637361446371493349840', 'Lhash_array': ['1163940505637361446371493349840'], 'label': '2-7935-1.1-c1-0-154', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/7935/2/a/bp/1/1'}