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  • lfunc_lfunctions • Show schema
    {'Lhash': '1933958580606620447959374500841', 'a10': [0, 0], 'a2': [0, 0], 'a3': [3.3166247903554, 0], 'a4': [0, 0], 'a5': [0, -3.0], 'a6': [0, 0], 'a7': [0, 0], 'a8': [0, 0], 'a9': [8.0, 0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 22.48587320919257, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 4}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [11, [[1.0, 0], [-3.3166247903554, 0]]]], 'bad_primes': [2, 11], 'central_character': '2816.1407', 'coefficient_field': 'CDF', 'conductor': 2816, 'conductor_radical': 22, 'conjugate': '1546364881142924060108944835912', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [-3.3166247903554, 0], [3.0, 0]], [[1.0, 0], [0, 3.0], [-5.0, 0]], [[1.0, 0], [0, 0], [7.0, 0]], [[1.0, 0], [-3.3166247903554, 0]], [[1.0, 0], [0, 0], [13.0, 0]], [[1.0, 0], [0, 0], [-17.0, 0]], [[1.0, 0], [0, 0], [-19.0, 0]], [[1.0, 0], [0, -3.3166247903554], [-23.0, 0]], [[1.0, 0], [0, 0], [29.0, 0]], [[1.0, 0], [0, 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'root_analytic_conductor': 4.741927161945085, 'root_angle': 0.125, 'root_number': '0.70710678118654752440084436210484903928483593768847403659 + 0.70710678118654752440084436210484903928483593768847403659*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.125', 'prec': 10}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.52562431655728173306011074383', 'prec': 100}, 'z2': {'__RealLiteral__': 0, 'data': '2.52183389423270904862779536715', 'prec': 100}, 'z3': {'__RealLiteral__': 0, 'data': '3.08465445247433503966741023318', 'prec': 100}}
  • lfunc_search • Show schema
    {'algebraic': True, 'analytic_conductor': 22.48587320919257, 'bad_primes': [2, 11], 'central_character': '88.43', 'conductor': 2816, 'conductor_radical': 22, 'degree': 2, 'index': 79, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/2816/2/g/a/1407/3'], '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': '2-2816-88.43-c1-0-79', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [0], 'nu_real_doubled': [1], 'order_of_vanishing': 0, 'prelabel': '2-2816-88.43-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 4.741927161945085, 'root_angle': 0.125, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.52562431655728173306011074383', 'prec': 100}}
  • lfunc_instances • Show schema
    {'Lhash': '1933958580606620447959374500841', 'Lhash_array': ['1933958580606620447959374500841'], 'factors': ['2-2816-88.43-c1-0-79'], 'label': '2-2816-88.43-c1-0-79', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/2816/2/g/a/1407/3'}