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lfunc_lfunctions • Show schema
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{'Lhash': '2692751448797567989522304071986', 'a10': [0.0, 0.0], 'a2': [0.0, 0.0], 'a3': [-2.381230257348128, -1.1103859048318303], 'a4': [0.0, 0.0], 'a5': [1.5633982495972059, -1.5986825554675927], 'a6': [0.0, 0.0], 'a7': [0.5589061239646483, -2.0858660512974567], 'a8': [0.0, 0.0], 'a9': [2.508937851801412, 2.9900356984799323], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 3.034315276808656, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [5, [[1.0, 0], [-1.5633982495972059, 1.5986825554675927]]], [19, [[1.0, 0], [4.2518943943820755, 0.9598927330812966]]]], 'bad_primes': [2, 5, 19], 'central_character': '380.117', 'coefficient_field': 'CDF', 'conductor': 380, 'conductor_radical': 190, 'conjugate': '692343674845959948417482830835', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [2.381230257348128, 1.1103859048318303], [1.928362829059618, 2.298133329356934]], [[1.0, 0], [-1.5633982495972059, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 3.034315276808656, 'bad_primes': [2, 5, 19], 'central_character': '95.22', 'conductor': 380, 'conductor_radical': 190, 'degree': 2, 'index': 8, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/380/2/bh/a/117/2'], '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': '2-380-95.22-c1-0-8', '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': '2-380-95.22-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.7419286084132886, 'root_angle': 0.4036873543792764, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '2.12420634543364050523739357956', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2692751448797567989522304071986', 'Lhash_array': ['2692751448797567989522304071986'], 'label': '2-380-95.22-c1-0-8', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/380/2/bh/a/117/2'}