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lfunc_lfunctions • Show schema
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{'Lhash': '2968185040394360831244356079794', 'a10': [-0.42396925065630453, -1.1648459427212934], 'a2': [0.3531537306441627, -0.29633116513239743], 'a3': [0.7265798808819347, -1.572285494653434], 'a4': [-0.31039095729469507, 1.760314593079141], 'a5': [0.9196541345497676, -2.5267289683835696], 'a6': [-0.2093227970069733, -0.7705667507380651], 'a7': [2.0076990279156086, 3.47743672265648], 'a8': [0.8730298040776474, 1.512131977184388], 'a9': [-1.944163353395187, -2.284782014835372], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 1.3654418745638952, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [-0.7265798808819347, 1.572285494653434]]], [19, [[1.0, 0], [0.5574761951219784, -4.3231030859640995]]]], 'bad_primes': [3, 19], 'central_character': '171.110', 'coefficient_field': 'CDF', 'conductor': 171, 'conductor_radical': 57, 'conjugate': '2344986247683542763286549150169', 'degree': 2, 'euler_factors': [[[1.0, 0], 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'0.121810103439', 'prec': 47}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '2.34148513782896097680561718056', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '4.34343105052810336874253988176', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '4.87551257174389426006864090165', 'prec': 103}}
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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': 12, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/171/2/x/a/110/11'], '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-c1-0-12', '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': 0.12181010343941058, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '2.34148513782896097680561718056', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2968185040394360831244356079794', 'Lhash_array': ['2968185040394360831244356079794'], 'label': '2-171-171.110-c1-0-12', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/171/2/x/a/110/11'}