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lfunc_lfunctions • Show schema
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{'Lhash': '1075177019625691944897505141644', 'a10': [0.0, 0.0], 'a2': [0.0, 0.0], 'a3': [0.9251200445749201, 0.0], 'a4': [0.0, 0.0], 'a5': [-1.0, 0.0], 'a6': [0.0, 0.0], 'a7': [-0.7632384469072657, 0.0], 'a8': [0.0, 0.0], 'a9': [-2.144152903125698, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 23.635718998299005, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [5, [[1.0, 0], [1.0, 0]]], [37, [[1.0, 0], [-1.0, 0]]]], 'bad_primes': [2, 5, 37], 'central_character': '2960.1', 'coefficient_field': 'CDF', 'conductor': 2960, 'conductor_radical': 370, 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [-0.9251200445749201, 0], [3.0, 0]], [[1.0, 0], [1.0, 0]], [[1.0, 0], [0.7632384469072657, 0], [7.0, 0]], [[1.0, 0], [-6.447317454522036, 0], [11.0, 0]], [[1.0, 0], [2.6706297969402293, 0], [13.0, 0]], [[1.0, 0], [-5.303164551396338, 0], [17.0, 0]], [[1.0, 0], [4.889662655491007, 0], [19.0, 0]], 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'4.66868031112719792972498436426151', '5.88367777555403592038435916498992', '6.43536367349372381955790179986446', '7.35286813041725819739773062642757', '8.027362989072120879831714240246188', '8.827127692710184844062684408547506'], 'prelabel': '2-2960-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 4.861658050325938, 'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'sign_arg': 0, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.848165116974752923147731731111', 'prec': 107}, 'z2': {'__RealLiteral__': 0, 'data': '2.19343231803019547596089387265', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.18938689142215102552038326759', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 23.635718998299005, 'bad_primes': [2, 5, 37], 'central_character': '1.1', 'conductor': 2960, 'conductor_radical': 370, 'degree': 2, 'index': 18, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/2960/2/a/y/1/4'], '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': '2-2960-1.1-c1-0-18', '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': '2-2960-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 4.861658050325938, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.848165116974752923147731731111', 'prec': 107}}
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lfunc_instances • Show schema
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{'Lhash': '1075177019625691944897505141644', 'Lhash_array': ['1075177019625691944897505141644'], 'label': '2-2960-1.1-c1-0-18', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/2960/2/a/y/1/4'}