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lfunc_lfunctions • Show schema
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{'Lhash': '1083090083913847234780550093754', 'a10': [-1.4326221917508601, -3.9360971224450787], 'a2': [-0.9072157800315045, 0.7612444264226439], 'a3': [0.509725668104783, -1.6553488282761228], 'a4': [-0.1037489605552295, 0.5883895938011079], 'a5': [-1.2096926588309198, 3.323603264617976], 'a6': [0.7976938997186921, 1.8897844023180843], 'a7': [0.600839659155011, 1.0406848168588458], 'a8': [-1.5380716969190016, -2.6640183247473903], 'a9': [-2.480359486550265, -1.687547574879033], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 1.3654418745638952, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [-0.509725668104783, 1.6553488282761228]]], [19, [[1.0, 0], [-3.5151156229263805, 2.5775884383389998]]]], 'bad_primes': [3, 19], 'central_character': '171.110', 'coefficient_field': 'CDF', 'conductor': 171, 'conductor_radical': 57, 'conjugate': '3090626901227874568997527423606', 'degree': 2, 'euler_factors': [[[1.0, 0], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 1.3654418745638952, 'bad_primes': [3, 19], 'central_character': '171.110', 'conductor': 171, 'conductor_radical': 57, 'degree': 2, 'index': 3, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/171/2/x/a/110/6'], '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': '2-171-171.110-c1-0-3', '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': '2-171-171.110-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.1685212341091176, 'root_angle': -0.29200925523651194, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.854407424032179166530072191532', 'prec': 107}}
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lfunc_instances • Show schema
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{'Lhash': '1083090083913847234780550093754', 'Lhash_array': ['1083090083913847234780550093754'], 'factors': ['2-171-171.110-c1-0-3'], 'label': '2-171-171.110-c1-0-3', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/171/2/x/a/110/6'}