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lfunc_lfunctions • Show schema
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{'Lhash': '1348687508501999035476529730181', 'a10': [2.9270509831248424, -5.069801019116659], 'a2': [-2.618033988749895, 0.0], 'a3': [1.5, -0.8660254037844386], 'a4': [4.854101966249685, 0.0], 'a5': [-1.118033988749895, 1.9364916731037085], 'a6': [-3.9270509831248424, 2.267283942228512], 'a7': [0.0, 0.0], 'a8': [-7.47213595499958, 0.0], 'a9': [1.5, -2.598076211353316], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 3.7130436939895395, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [-1.5, 0.8660254037844386]]], [5, [[1.0, 0], [1.118033988749895, -1.9364916731037085]]], [31, [[1.0, 0], [-4.0, -3.872983346207417]]]], 'bad_primes': [3, 5, 31], 'central_character': '465.254', 'coefficient_field': 'CDF', 'conductor': 465, 'conductor_radical': 465, 'conjugate': '1465812156028680313489597438672', 'degree': 2, 'euler_factors': [[[1.0, 0], [2.618033988749895, 0], [2.0, 0]], [[1.0, 0], [-1.5, 0.8660254037844386]], [[1.0, 0], 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'data': '1.06392684881715801462541517504', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '2.55139144419489316253408119160', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.91965885965044618307453507341', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 3.7130436939895395, 'bad_primes': [3, 5, 31], 'central_character': '465.254', 'conductor': 465, 'conductor_radical': 465, 'degree': 2, 'index': 24, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/465/2/t/a/254/1'], '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': '2-465-465.254-c1-0-24', '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': '2-465-465.254-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.9269259700334986, 'root_angle': 0.00011453116797344501, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.06392684881715801462541517504', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1348687508501999035476529730181', 'Lhash_array': ['1348687508501999035476529730181'], 'factors': ['2-465-465.254-c1-0-24'], 'label': '2-465-465.254-c1-0-24', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/465/2/t/a/254/1'}