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lfunc_lfunctions • Show schema
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{'Lhash': '1965073363223327817337960576727', 'a10': [-2.2918674187954347, -2.1788399974903965], 'a2': [-0.4218615936479154, 1.349826950318018], 'a3': [1.9091033403057545, -1.9091033403057545], 'a4': [-1.6440655916096822, -1.1388802968201293], 'a5': [-0.9871030536603018, 2.006396661045494], 'a6': [1.7715817621069136, 3.382336517266802], 'a7': [3.1510155181791957, 3.1510155181791957], 'a8': [2.2308594483721578, -1.7387541866545349], 'a9': [0.0, -4.289351127933179], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 2.076110452553291, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0.4218615936479154, -1.349826950318018]]], [5, [[1.0, 0], [0.9871030536603018, -2.006396661045494]]], [13, [[1.0, 0], [-0.7071067811865476, -0.7071067811865476]]]], 'bad_primes': [2, 5, 13], 'central_character': '260.183', 'coefficient_field': 'CDF', 'conductor': 260, 'conductor_radical': 130, 'conjugate': '2332812064045131595641982108213', 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[59.0, 0]], [[1.0, 0], [8.248000467980292, 0], [61.0, 0]], [[1.0, 0], [-1.4192958383798369, -1.4192958383798369], [0, 67.0]], [[1.0, 0], [0, -11.41520975253698], [-71.0, 0]], [[1.0, 0], [5.514423468314222, 5.514423468314222], [0, 73.0]], [[1.0, 0], [-6.658779012952681, 0], [79.0, 0]], [[1.0, 0], [-3.925621306797409, 3.925621306797409], [0, -83.0]], [[1.0, 0], [0, -8.02759761126309], [-89.0, 0]], [[1.0, 0], [-1.2028503332941094, 1.2028503332941094], [0, -97.0]], [[1.0, 0], [0.3735548869991189, 0], [101.0, 0]], [[1.0, 0], [0.2627545663928505, -0.2627545663928505], [0, -103.0]], [[1.0, 0], [-1.3022721197599123, -1.3022721197599123], [0, 107.0]], [[1.0, 0], [0, 16.944408548148527], [-109.0, 0]], [[1.0, 0], [-3.6195134035709486, -3.6195134035709486], [0, 113.0]]], 'gamma_factors': [[], [0]], 'group': 'GL2', 'index': 19, 'label': '2-260-20.3-c1-0-19', 'load_key': 'CMFs-workshop', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 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-0.23541754839828397, 'root_number': '0.7387476232854849 - 0.6739821578425108*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '-0.117708774199', 'prec': 50}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.55016955213805251086938340694', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '3.41993995366238740625201755326', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '4.32556552315419593551865206882', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 2.076110452553291, 'bad_primes': [2, 5, 13], 'central_character': '20.3', 'conductor': 260, 'conductor_radical': 130, 'degree': 2, 'index': 19, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/260/2/o/a/183/16'], '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': '2-260-20.3-c1-0-19', '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': '2-260-20.3-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.4408714212424685, 'root_angle': -0.11770877419914198, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.55016955213805251086938340694', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1965073363223327817337960576727', 'Lhash_array': ['1965073363223327817337960576727'], 'label': '2-260-20.3-c1-0-19', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/260/2/o/a/183/16'}