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lfunc_lfunctions • Show schema
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{'Lhash': '3334414001505222834687886010335', 'a10': [18.59466353236581, -32.206901987705756], 'a2': [1.8793852415718169, 0.6840402866513374], 'a3': [2.738600129118208, -0.9967689305566062], 'a4': [3.064177772475912, 2.5711504387461575], 'a5': [3.228929436725049, -18.312168811327222], 'a6': [5.82871477021452, 2.4090151675916805e-60], 'a7': [2.307069669260303, -13.084042271867398], 'a8': [4.0, 6.928203230275509], 'a9': [-14.176817597929102, 11.895762417689882], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 4.366141340424807, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [-1.8793852415718169, -0.6840402866513374]]], [37, [[1.0, 0], [85.0088059897685, 208.39026585758245]]]], 'bad_primes': [2, 37], 'central_character': '74.53', 'coefficient_field': 'CDF', 'conductor': 74, 'conductor_radical': 74, 'conjugate': '2176358279157290097222138452029', 'degree': 2, 'euler_factors': [[[1.0, 0], [-1.8793852415718169, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 4.366141340424807, 'bad_primes': [2, 37], 'central_character': '37.16', 'conductor': 74, 'conductor_radical': 74, 'degree': 2, 'index': 8, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/74/4/f/a/53/3'], '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': '2-74-37.16-c3-0-8', 'motivic_weight': 3, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [3], 'order_of_vanishing': 0, 'prelabel': '2-74-37.16-c3-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.0895313686146966, 'root_angle': 0.06805364739774954, 'self_dual': False, 'spectral_label': 'c3-0', 'z1': {'__RealLiteral__': 0, 'data': '2.63038884760902630606136665917', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '3334414001505222834687886010335', 'Lhash_array': ['3334414001505222834687886010335'], 'label': '2-74-37.16-c3-0-8', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/74/4/f/a/53/3'}