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lfunc_lfunctions • Show schema
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{'Lhash': '2819574188761947959287156017304', 'a10': [20.200149076184317, 0.0], 'a2': [2.183320298882923, 0.0], 'a3': [-0.7989862065972915, -2.891646769864409], 'a4': [0.7668875275142167, 0.0], 'a5': [9.252031910535319, 0.0], 'a6': [-1.7444428033913315, -6.313391089844201], 'a7': [3.4652462961567476, -6.082110497760785], 'a8': [-7.058920089749766, 0.0], 'a9': [-7.72324208333454, 4.620771766946551], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 6.294294106722859, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [0.7989862065972915, 2.891646769864409]]], [7, [[1.0, 0], [-3.4652462961567476, 6.082110497760785]]], [11, [[1.0, 0], [-7.253348609347544, -8.269760211232008]]]], 'bad_primes': [3, 7, 11], 'central_character': '231.230', 'coefficient_field': 'CDF', 'conductor': 231, 'conductor_radical': 231, 'conjugate': '1803182248585683332715346881841', 'degree': 2, 'euler_factors': [[[1.0, 0], [-2.183320298882923, 0], [4.0, 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'2.22425184688455027867675711993', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '3.67435899514690861400259534524', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '4.98968217452653297497704980788', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 6.294294106722859, 'bad_primes': [3, 7, 11], 'central_character': '231.230', 'conductor': 231, 'conductor_radical': 231, 'degree': 2, 'index': 47, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/231/3/h/e/230/37'], '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': '2-231-231.230-c2-0-47', 'motivic_weight': 2, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [2], 'order_of_vanishing': 0, 'prelabel': '2-231-231.230-c2-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.5088431809746217, 'root_angle': 0.17492326585816284, 'self_dual': False, 'spectral_label': 'c2-0', 'z1': {'__RealLiteral__': 0, 'data': '2.22425184688455027867675711993', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2819574188761947959287156017304', 'Lhash_array': ['2819574188761947959287156017304'], 'factors': ['2-231-231.230-c2-0-47'], 'label': '2-231-231.230-c2-0-47', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/231/3/h/e/230/37'}