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lfunc_lfunctions • Show schema
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{'Lhash': '988717856801619777670502069333', 'a10': [0.0, 0.0], 'a2': [0.0, 0.0], 'a3': [0.25881904510252074, 0.9659258262890683], 'a4': [0.0, 0.0], 'a5': [0.9659258262890683, -0.25881904510252074], 'a6': [0.0, 0.0], 'a7': [-0.5, 0.8660254037844386], 'a8': [0.0, 0.0], 'a9': [-0.8660254037844386, 0.5], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 1.6768584424468882, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [3, [[1.0, 0], [-0.25881904510252074, -0.9659258262890683]]], [5, [[1.0, 0], [-0.9659258262890683, 0.25881904510252074]]], [7, [[1.0, 0], [0.5, -0.8660254037844386]]]], 'bad_primes': [2, 3, 5, 7], 'central_character': '3360.2033', 'coefficient_field': 'CDF', 'conductor': 3360, 'conductor_radical': 210, 'conjugate': '2200338628296772981704723623722', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [-0.25881904510252074, -0.9659258262890683]], [[1.0, 0], [-0.9659258262890683, 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{'__RealLiteral__': 0, 'data': '-0.30706885746655443', 'prec': 67}, 'spectral_label': 'c0-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.77996086352470450185359195286', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '1.98148316744802828220662861454', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '2.81196752201371823567877596900', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 1.6768584424468882, 'bad_primes': [2, 3, 5, 7], 'central_character': '840.773', 'conductor': 3360, 'conductor_radical': 210, 'degree': 2, 'index': 1, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/3360/1/ft/a/2033/2'], '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': '2-3360-840.773-c0-0-1', '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': '2-3360-840.773-c0-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.2949356904676341, 'root_angle': -0.3070688574665545, 'self_dual': False, 'spectral_label': 'c0-0', 'z1': {'__RealLiteral__': 0, 'data': '0.77996086352470450185359195286', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '988717856801619777670502069333', 'Lhash_array': ['988717856801619777670502069333'], 'label': '2-3360-840.773-c0-0-1', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/3360/1/ft/a/2033/2'}