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lfunc_lfunctions • Show schema
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{'Lhash': '1855190737771244711493832649229', 'a10': [-2.2259202091966945, 2.460051068667926], 'a2': [0.20867667683745758, 1.398733014032369], 'a3': [0.881921264348355, -0.47139673682599764], 'a4': [-1.9129080890881507, 0.5837659143022313], 'a5': [1.4882285068954668, 1.8134116825326563], 'a6': [0.8433945771821548, 1.1352028837083414], 'a7': [2.6819299127878375, -1.7920082761216014], 'a8': [-1.2157119599277282, -2.5538293659695985], 'a9': [0.5555702330196022, -0.8314696123025452], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 3.0662554376171682, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [-0.20867667683745758, -1.398733014032369]]], [3, [[1.0, 0], [-0.881921264348355, 0.47139673682599764]]]], 'bad_primes': [2, 3], 'central_character': '384.229', 'coefficient_field': 'CDF', 'conductor': 384, 'conductor_radical': 6, 'conjugate': '2365336317539804859403765490030', 'degree': 2, 'euler_factors': [[[1.0, 0], 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'root_angle': -0.4393612144220694, 'root_number': '0.1893521940072022 - 0.9819092354309836*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '-0.219680607211', 'prec': 50}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.46348744475586084042342821716', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '2.59424953665795233192429836215', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '4.04527997053083765582383986303', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 3.0662554376171682, 'bad_primes': [2, 3], 'central_character': '128.101', 'conductor': 384, 'conductor_radical': 6, 'degree': 2, 'index': 14, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/384/2/v/a/229/18'], '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': '2-384-128.101-c1-0-14', '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': '2-384-128.101-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.7510726534376488, 'root_angle': -0.2196806072110347, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.46348744475586084042342821716', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1855190737771244711493832649229', 'Lhash_array': ['1855190737771244711493832649229'], 'label': '2-384-128.101-c1-0-14', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/384/2/v/a/229/18'}