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lfunc_lfunctions • Show schema
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{'Lhash': '1381339403581359032107884535296', 'a10': [0, 0], 'a2': [0, 0], 'a3': [0, 27.211479821206783], 'a4': [0, 0], 'a5': [162.9858895559649, 0], 'a6': [0, 0], 'a7': [68.06740647855506, 0], 'a8': [0, 0], 'a9': [-11.464634059944002, 0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 69.9364414204347, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '3.0', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [19, [[1.0, 0], [-6046.631428833001, 3237.920530811245]]]], 'bad_primes': [2, 19], 'central_character': '304.113', 'coefficient_field': 'CDF', 'conductor': 304, 'conductor_radical': 38, 'conjugate': '1135726441269269492767296644462', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [0, -27.211479821206783], [-729.0, 0]], [[1.0, 0], [-162.9858895559649, 0], [15625.0, 0]], [[1.0, 0], [-68.06740647855506, 0], [117649.0, 0]], [[1.0, 0], [838.4986623962706, 0], [1771561.0, 0]], [[1.0, 0], [0, 2034.1461436507648], [-4826809.0, 0]], [[1.0, 0], 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'spectral_label': 'c6-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.08968465232664344267042636699', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '1.81073398060887561510078323602', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '2.95934255514513608509976638455', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 69.9364414204347, 'bad_primes': [2, 19], 'central_character': '19.18', 'conductor': 304, 'conductor_radical': 38, 'degree': 2, 'index': 38, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/304/7/e/d/113/6'], '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': '2-304-19.18-c6-0-38', 'motivic_weight': 6, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [6], 'order_of_vanishing': 0, 'prelabel': '2-304-19.18-c6-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 8.362801051109294, 'root_angle': -0.0782463244827242, 'self_dual': False, 'spectral_label': 'c6-0', 'z1': {'__RealLiteral__': 0, 'data': '1.08968465232664344267042636699', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1381339403581359032107884535296', 'Lhash_array': ['1381339403581359032107884535296'], 'label': '2-304-19.18-c6-0-38', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/304/7/e/d/113/6'}