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lfunc_lfunctions • Show schema
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{'Lhash': '1519113291293081148301707360527', 'a10': [0, 0], 'a2': [0, 0], 'a3': [-0.25447558181526553, 0.25447558181526553], 'a4': [0, 0], 'a5': [0, 0], 'a6': [0, 0], 'a7': [0.9648250587868621, 0.9648250587868621], 'a8': [0, 0], 'a9': [0, 2.8704843565195644], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 13.574568343617672, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [5, [[1.0, 0], [0, 0]]], [17, [[1.0, 0], [-0.5290698633758687, 4.089020063495341]]]], 'bad_primes': [2, 5, 17], 'central_character': '1700.701', 'coefficient_field': 'CDF', 'conductor': 1700, 'conductor_radical': 170, 'conjugate': '658278636812486002203805949086', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [0.25447558181526553, -0.25447558181526553], [0, -3.0]], [[1.0, 0], [0, 0]], [[1.0, 0], [-0.9648250587868621, -0.9648250587868621], [0, 7.0]], [[1.0, 0], [2.6892047429238364, 2.6892047429238364], [0, 11.0]], [[1.0, 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'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.19836908610273058602136106599', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '2.42390792509043979569028591055', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.58789548882708279209281225805', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 13.574568343617672, 'bad_primes': [2, 5, 17], 'central_character': '17.4', 'conductor': 1700, 'conductor_radical': 170, 'degree': 2, 'index': 21, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/1700/2/o/e/701/3'], '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': '2-1700-17.4-c1-0-21', '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': '2-1700-17.4-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 3.6843681064217337, 'root_angle': 0.1649737368202528, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.19836908610273058602136106599', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1519113291293081148301707360527', 'Lhash_array': ['1519113291293081148301707360527'], 'factors': ['2-1700-17.4-c1-0-21'], 'label': '2-1700-17.4-c1-0-21', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/1700/2/o/e/701/3'}