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lfunc_lfunctions • Show schema
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{'Lhash': '3961871802663467551228531615889', 'a10': [0.0, -400.80891469891645], 'a2': [0.0, -4.448874641116572], 'a3': [0.0, -21.50704514996023], 'a4': [12.207514427629894, 0.0], 'a5': [90.0922024178056, 0.0], 'a6': [-95.68214777300722, 0.0], 'a7': [-211.67767157361888, 0.0], 'a8': [0.0, -196.6736898838776], 'a9': [-219.5529910824278, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 4.65113077457644, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '2.5', 'prec': 10}, 'bad_lfactors': [[29, [[1.0, 0], [-2787.764389915894, 3569.2462378374603]]]], 'bad_primes': [29], 'central_character': '29.28', 'coefficient_field': 'CDF', 'conductor': 29, 'conductor_radical': 29, 'conjugate': '1828180960373565726522800102989', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 4.448874641116572], [-32.0, 0]], [[1.0, 0], [0, 21.50704514996023], [-243.0, 0]], [[1.0, 0], [-90.0922024178056, 0], [3125.0, 0]], [[1.0, 0], [211.67767157361888, 0], [16807.0, 0]], [[1.0, 0], [0, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 4.65113077457644, 'bad_primes': [29], 'central_character': '29.28', 'conductor': 29, 'conductor_radical': 29, 'degree': 2, 'index': 8, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/29/6/b/a/28/4'], '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': '2-29-29.28-c5-0-8', 'motivic_weight': 5, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [5], 'order_of_vanishing': 0, 'prelabel': '2-29-29.28-c5-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.156648041423644, 'root_angle': 0.35553239399805975, 'self_dual': False, 'spectral_label': 'c5-0', 'z1': {'__RealLiteral__': 0, 'data': '3.12536577661870486281674587653', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '3961871802663467551228531615889', 'Lhash_array': ['3961871802663467551228531615889'], 'label': '2-29-29.28-c5-0-8', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/29/6/b/a/28/4'}