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lfunc_lfunctions • Show schema
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{'Lhash': '34594652587014791069017639430', 'a10': [0, 0], 'a2': [0, 0], 'a3': [0, 0], 'a4': [0, 0], 'a5': [0, 0], 'a6': [0, 0], 'a7': [-2.618269287235475, -0.3803497594575772], 'a8': [0, 0], 'a9': [0, 0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 50.305753273406665, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [3, [[1.0, 0], [0, 0]]], [5, [[1.0, 0], [0, 0]]], [7, [[1.0, 0], [2.618269287235475, 0.3803497594575772]]]], 'bad_primes': [2, 3, 5, 7], 'central_character': '6300.1601', 'coefficient_field': 'CDF', 'conductor': 6300, 'conductor_radical': 210, 'conjugate': '1988558804469975245310618625503', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [2.618269287235475, 0.3803497594575772]], [[1.0, 0], [2.158785108027125, -1.246375163242016], [5.5, -9.526279441628825]], [[1.0, 0], [0, -6.80936785170298], [-13.0, 0]], [[1.0, 0], [-3.901167857293139, 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'root_analytic_conductor': 7.092654881876508, 'root_angle': 0.7821780968697665, 'root_number': '-0.77485686690239226235007103660776738916231210537559307645 + 0.6321367224060063753157464497428437465482127271715611457*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.39108904843488324', 'prec': 64}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.02729036895559890595693883771', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '0.938210526546038063433114800101', 'prec': 107}, 'z3': {'__RealLiteral__': 0, 'data': '2.52504571936755498785403187696', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 50.305753273406665, 'bad_primes': [2, 3, 5, 7], 'central_character': '21.5', 'conductor': 6300, 'conductor_radical': 210, 'degree': 2, 'index': 0, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/6300/2/ch/b/1601/1'], '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': '2-6300-21.5-c1-0-0', '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': '2-6300-21.5-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 7.092654881876508, 'root_angle': 0.39108904843488324, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.02729036895559890595693883771', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '34594652587014791069017639430', 'Lhash_array': ['34594652587014791069017639430'], 'label': '2-6300-21.5-c1-0-0', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/6300/2/ch/b/1601/1'}