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lfunc_lfunctions • Show schema
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{'Lhash': '2608594316172437035537384947922', 'a10': [0, -2.0197950109713125], 'a2': [2.0, 0], 'a3': [1.5301578965006664, -4.965744336126927], 'a4': [4.0, 0], 'a5': [0, -1.0098975054856563], 'a6': [3.0603157930013327, -9.931488672253854], 'a7': [8.170954094947088, 0], 'a8': [8.0, 0], 'a9': [-22.31723362355331, -15.196745815856154], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 20.886676142032186, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [-2.0, 0]]], [3, [[1.0, 0], [-1.5301578965006664, 4.965744336126927]]], [59, [[1.0, 0], [-431.5047086128324, -138.50157560459226]]]], 'bad_primes': [2, 3, 59], 'central_character': '354.353', 'coefficient_field': 'CDF', 'conductor': 354, 'conductor_radical': 354, 'conjugate': '856932387001582042905285939493', 'degree': 2, 'euler_factors': [[[1.0, 0], [-2.0, 0]], [[1.0, 0], [-1.5301578965006664, 4.965744336126927]], [[1.0, 0], [0, 1.0098975054856563], [-125.0, 0]], [[1.0, 0], 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'c3-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '2.05781807361017495531358244703', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '3.30415800622204361196361859403', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '4.40523209774273885695654724359', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 20.886676142032186, 'bad_primes': [2, 3, 59], 'central_character': '177.176', 'conductor': 354, 'conductor_radical': 354, 'degree': 2, 'index': 52, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/354/4/c/b/353/17'], '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': '2-354-177.176-c3-0-52', 'motivic_weight': 3, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [3], 'order_of_vanishing': 0, 'prelabel': '2-354-177.176-c3-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 4.570194322130317, 'root_angle': 0.3470043155805983, 'self_dual': False, 'spectral_label': 'c3-0', 'z1': {'__RealLiteral__': 0, 'data': '2.05781807361017495531358244703', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2608594316172437035537384947922', 'Lhash_array': ['2608594316172437035537384947922'], 'label': '2-354-177.176-c3-0-52', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/354/4/c/b/353/17'}