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lfunc_lfunctions • Show schema
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{'Lhash': '1533409964740894415477581125544', 'a10': [0.9499864514977877, 0.0], 'a2': [-1.0, 0.0], 'a3': [1.929801298230753, 0.0], 'a4': [1.0, 0.0], 'a5': [-0.9499864514977877, 0.0], 'a6': [-1.929801298230753, 0.0], 'a7': [-5.121132829050956, 0.0], 'a8': [-1.0, 0.0], 'a9': [0.7241330506530999, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 64.02405234066265, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [1.0, 0]]], [19, [[1.0, 0], [1.0, 0]]], [211, [[1.0, 0], [1.0, 0]]]], 'bad_primes': [2, 19, 211], 'central_character': '8018.1', 'coefficient_field': 'CDF', 'conductor': 8018, 'conductor_radical': 8018, 'degree': 2, 'euler_factors': [[[1.0, 0], [1.0, 0]], [[1.0, 0], [-1.929801298230753, 0], [3.0, 0]], [[1.0, 0], [0.9499864514977877, 0], [5.0, 0]], [[1.0, 0], [5.121132829050956, 0], [7.0, 0]], [[1.0, 0], [-5.687533736915252, 0], [11.0, 0]], [[1.0, 0], [-1.1925060902753577, 0], [13.0, 0]], [[1.0, 0], 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'6.89042713503851427857872153312643', '7.59264000450247136296173139210849'], 'prelabel': '2-8018-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 8.001503130078914, 'root_angle': 1.0, 'root_number': '-1', 'self_dual': True, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.20964717286042176384681077076', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '2.34034139152775178829200697550', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.13305153569889748827134896498', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 64.02405234066265, 'bad_primes': [2, 19, 211], 'central_character': '1.1', 'conductor': 8018, 'conductor_radical': 8018, 'degree': 2, 'index': 208, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/8018/2/a/f/1/29'], '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': '2-8018-1.1-c1-0-208', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [1], 'order_of_vanishing': 1, 'prelabel': '2-8018-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 8.001503130078914, 'root_angle': 0.5, 'self_dual': True, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.20964717286042176384681077076', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1533409964740894415477581125544', 'Lhash_array': ['1533409964740894415477581125544'], 'label': '2-8018-1.1-c1-0-208', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/8018/2/a/f/1/29'}