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lfunc_lfunctions • Show schema
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{'Lhash': '1795611533319196824910629622545', 'a10': [0, 0], 'a2': [31.998568074708523, -0.3027229232229038], 'a3': [0, 375.7944667294173], 'a4': [1023.8167176635108, -19.373400133045696], 'a5': [0, 0], 'a6': [113.76159949932148, 12024.884825740046], 'a7': [0, -19635.702476884882], 'a8': [32754.80416385944, -929.8538526114062], 'a9': [-82172.48122444715, 0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 63.53572526737244, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '5.0', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [-31.998568074708523, 0.3027229232229038]]], [5, [[1.0, 0], [0, 0]]]], 'bad_primes': [2, 5], 'central_character': '100.51', 'coefficient_field': 'CDF', 'conductor': 100, 'conductor_radical': 10, 'conjugate': '995919087183309692503103440645', 'degree': 2, 'euler_factors': [[[1.0, 0], [-31.998568074708523, 0.3027229232229038]], [[1.0, 0], [0, -375.7944667294173], [-59049.0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [0, 19635.702476884882], [-282475249.0, 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'data': '-0.0030112855172674605', 'prec': 74}, 'spectral_label': 'c10-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.41648773959947060796912372000316', 'prec': 113}, 'z2': {'__RealLiteral__': 0, 'data': '2.11003452486969223720668849722247', 'prec': 113}, 'z3': {'__RealLiteral__': 0, 'data': '3.44884794809544406166046752669212', 'prec': 113}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 63.53572526737244, 'bad_primes': [2, 5], 'central_character': '4.3', 'conductor': 100, 'conductor_radical': 10, 'degree': 2, 'index': 75, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/100/11/b/h/51/23'], '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': '2-10e2-4.3-c10-0-75', 'motivic_weight': 10, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [10], 'order_of_vanishing': 0, 'prelabel': '2-10e2-4.3-c10-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 7.970930012700679, 'root_angle': -0.0030112855172674605, 'self_dual': False, 'spectral_label': 'c10-0', 'z1': {'__RealLiteral__': 0, 'data': '1.41648773959947060796912372000316', 'prec': 113}}
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lfunc_instances • Show schema
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{'Lhash': '1795611533319196824910629622545', 'Lhash_array': ['1795611533319196824910629622545'], 'label': '2-10e2-4.3-c10-0-75', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/100/11/b/h/51/23'}