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lfunc_lfunctions • Show schema
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{'Lhash': '1073247994088518800191960407488', 'a10': [-70.05997793043234, 71.35544472839709], 'a2': [-2.5989558575717324, 3.040629614141384], 'a3': [-5.196152422706632, 0.0], 'a4': [-2.4908569007871613, -15.804924292757653], 'a5': [24.940516774689772, 1.7235495384287962], 'a6': [13.50457077582895, -15.799574936074283], 'a7': [-2.6504048740615116, 0.0], 'a8': [54.53054798649525, 33.5025273120184], 'a9': [27.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 6.202197785030662, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '2.0', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [2.5989558575717324, -3.040629614141384]]], [3, [[1.0, 0], [5.196152422706632, 0]]], [5, [[1.0, 0], [-24.940516774689772, -1.7235495384287962]]]], 'bad_primes': [2, 3, 5], 'central_character': '60.19', 'coefficient_field': 'CDF', 'conductor': 60, 'conductor_radical': 30, 'conjugate': '2029188290654505092629093164502', 'degree': 2, 'euler_factors': [[[1.0, 0], [2.5989558575717324, 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'spectral_label': 'c4-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.846643384143304067656963787381', 'prec': 107}, 'z2': {'__RealLiteral__': 0, 'data': '2.83477130255971993982721583639', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '5.05180586085530117385166009855', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 6.202197785030662, 'bad_primes': [2, 3, 5], 'central_character': '20.19', 'conductor': 60, 'conductor_radical': 30, 'degree': 2, 'index': 6, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/60/5/f/a/19/8'], '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': '2-60-20.19-c4-0-6', 'motivic_weight': 4, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [4], 'order_of_vanishing': 0, 'prelabel': '2-60-20.19-c4-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.490421206348569, 'root_angle': -0.2638970333191311, 'self_dual': False, 'spectral_label': 'c4-0', 'z1': {'__RealLiteral__': 0, 'data': '0.846643384143304067656963787381', 'prec': 107}}
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lfunc_instances • Show schema
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{'Lhash': '1073247994088518800191960407488', 'Lhash_array': ['1073247994088518800191960407488'], 'label': '2-60-20.19-c4-0-6', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/60/5/f/a/19/8'}