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lfunc_lfunctions • Show schema
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{'Lhash': '1662938636981811077346511824454', 'a10': [0.0, 0.0], 'a2': [0.0, 0.0], 'a3': [-0.25881904510252074, -0.9659258262890683], 'a4': [0.0, 0.0], 'a5': [0.7071067811865476, 0.7071067811865476], 'a6': [0.0, 0.0], 'a7': [0.8660254037844386, 0.5], '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], [-0.7071067811865476, -0.7071067811865476]]], [7, [[1.0, 0], [-0.8660254037844386, -0.5]]]], 'bad_primes': [2, 3, 5, 7], 'central_character': '3360.2033', 'coefficient_field': 'CDF', 'conductor': 3360, 'conductor_radical': 210, 'conjugate': '1425362264403338990610678482577', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [0.25881904510252074, 0.9659258262890683]], [[1.0, 0], [-0.7071067811865476, 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{'__RealLiteral__': 0, 'data': '0.10959780920011222', 'prec': 64}, 'spectral_label': 'c0-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.31182727849646702546286347396', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '2.20798261251585700494844365503', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.69326227544887647751906656213', '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': 3, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/3360/1/ft/b/2033/1'], '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': '2-3360-840.773-c0-0-3', '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': 0.10959780920011224, 'self_dual': False, 'spectral_label': 'c0-0', 'z1': {'__RealLiteral__': 0, 'data': '1.31182727849646702546286347396', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1662938636981811077346511824454', 'Lhash_array': ['1662938636981811077346511824454'], 'label': '2-3360-840.773-c0-0-3', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/3360/1/ft/b/2033/1'}