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lfunc_lfunctions • Show schema
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{'Lhash': '3133776831359268537044730313824', 'a10': [2.5530477781752943, 1.8717558446390326], 'a2': [-1.199829261867746, -0.7486051979287214], 'a3': [0.3187225158055465, 0.21730133187999967], 'a4': [0.8791805152682, 1.796396844122351], 'a5': [-2.232213792875698, -0.16728129808374556], 'a6': [-0.21973969431739793, -0.49932182866140923], 'a7': [-2.6264856099539857, 0.3187057274424788], 'a8': [0.28992550636999415, -2.8135286031522946], 'a9': [-1.04165889985459, -2.6541035915632336], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 1.5650678796170963, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [1.199829261867746, 0.7486051979287214]]], [7, [[1.0, 0], [2.6264856099539857, -0.3187057274424788]]]], 'bad_primes': [2, 7], 'central_character': '196.103', 'coefficient_field': 'CDF', 'conductor': 196, 'conductor_radical': 14, 'conjugate': '332487659258217395155646792385', 'degree': 2, 'euler_factors': [[[1.0, 0], 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0.2245463515437912*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.463954990432', 'prec': 47}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '2.47211402794670663352728996239', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '4.35845186989736974727239908425', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '5.95007595541657736395751627833', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 1.5650678796170963, 'bad_primes': [2, 7], 'central_character': '196.103', 'conductor': 196, 'conductor_radical': 14, 'degree': 2, 'index': 21, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/196/2/p/a/103/6'], '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': '2-14e2-196.103-c1-0-21', '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': '2-14e2-196.103-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.251026730176896, 'root_angle': 0.4639549904322444, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '2.47211402794670663352728996239', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '3133776831359268537044730313824', 'Lhash_array': ['3133776831359268537044730313824'], 'label': '2-14e2-196.103-c1-0-21', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/196/2/p/a/103/6'}