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lfunc_lfunctions • Show schema
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{'Lhash': '513600509748525744375516100778', 'a10': [1.0, 0.0], 'a2': [-1.0, 0.0], 'a3': [-1.0, 0.0], 'a4': [1.0, 0.0], 'a5': [-1.0, 0.0], 'a6': [1.0, 0.0], 'a7': [0.5916550448762044, 0.0], 'a8': [-1.0, 0.0], 'a9': [1.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 50.06620206734282, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [1.0, 0]]], [3, [[1.0, 0], [1.0, 0]]], [5, [[1.0, 0], [1.0, 0]]], [11, [[1.0, 0], [1.0, 0]]], [19, [[1.0, 0], [-1.0, 0]]]], 'bad_primes': [2, 3, 5, 11, 19], 'central_character': '6270.1', 'coefficient_field': 'CDF', 'conductor': 6270, 'conductor_radical': 6270, 'degree': 2, 'euler_factors': [[[1.0, 0], [1.0, 0]], [[1.0, 0], [1.0, 0]], [[1.0, 0], [1.0, 0]], [[1.0, 0], [-0.5916550448762044, 0], [7.0, 0]], [[1.0, 0], [1.0, 0]], [[1.0, 0], [2.615055446263993, 0], [13.0, 0]], [[1.0, 0], [7.324581563580243, 0], [17.0, 0]], [[1.0, 0], [-1.0, 0]], [[1.0, 0], [5.684257247654016, 0], [23.0, 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'4.67569790296290564146034428167625', '4.99429907066902648350613092872245', '6.22871201811035540856101076612482', '6.64994039511999170793773183947924', '7.33821887683508421071621764861392', '8.239391912486875014088337551058967'], 'prelabel': '2-6270-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 7.075747456441816, 'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'sign_arg': 0, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.40515936304219511704377406296', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '1.73616865379689341722631619487', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '2.54131921452066419455119866253', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 50.06620206734282, 'bad_primes': [2, 3, 5, 11, 19], 'central_character': '1.1', 'conductor': 6270, 'conductor_radical': 6270, 'degree': 2, 'index': 6, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/6270/2/a/bv/1/4'], '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': '2-6270-1.1-c1-0-6', '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': '2-6270-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 7.075747456441816, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.40515936304219511704377406296', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '513600509748525744375516100778', 'Lhash_array': ['513600509748525744375516100778'], 'label': '2-6270-1.1-c1-0-6', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/6270/2/a/bv/1/4'}