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lfunc_lfunctions • Show schema
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{'Lhash': '1111824145921617444997242440662', 'a10': [-0.5925984988711197, 0.0], 'a2': [1.0, 0.0], 'a3': [-1.0, 0.0], 'a4': [1.0, 0.0], 'a5': [-0.5925984988711197, 0.0], 'a6': [-1.0, 0.0], 'a7': [4.360259858803787, 0.0], 'a8': [1.0, 0.0], 'a9': [1.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 49.203817725513, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [-1.0, 0]]], [3, [[1.0, 0], [1.0, 0]]], [13, [[1.0, 0], [1.0, 0]]], [79, [[1.0, 0], [1.0, 0]]]], 'bad_primes': [2, 3, 13, 79], 'central_character': '6162.1', 'coefficient_field': 'CDF', 'conductor': 6162, 'conductor_radical': 6162, 'degree': 2, 'euler_factors': [[[1.0, 0], [-1.0, 0]], [[1.0, 0], [1.0, 0]], [[1.0, 0], [0.5925984988711197, 0], [5.0, 0]], [[1.0, 0], [-4.360259858803787, 0], [7.0, 0]], [[1.0, 0], [0.5257251850095308, 0], [11.0, 0]], [[1.0, 0], [1.0, 0]], [[1.0, 0], [1.7810294068973522, 0], [17.0, 0]], [[1.0, 0], [-2.4136682604842044, 0], 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'4.06634053415283234365054584969876', '4.42080719513011853928128436147423', '5.11102133274434999497173192732447', '5.81672656681385341112304295909094', '6.45245460173231848997827855024126', '7.41923033662070591158802583868279', '7.966137149035018977964501060013702'], 'prelabel': '2-6162-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 7.014543301278637, 'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'sign_arg': 0, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.877074602198305458514802214730', 'prec': 107}, 'z2': {'__RealLiteral__': 0, 'data': '1.92800345114224792279634491402', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '2.69874711389970953376349690555', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 49.203817725513, 'bad_primes': [2, 3, 13, 79], 'central_character': '1.1', 'conductor': 6162, 'conductor_radical': 6162, 'degree': 2, 'index': 48, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/6162/2/a/bj/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': '2-6162-1.1-c1-0-48', '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': '2-6162-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 7.014543301278637, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.877074602198305458514802214730', 'prec': 107}}
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lfunc_instances • Show schema
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{'Lhash': '1111824145921617444997242440662', 'Lhash_array': ['1111824145921617444997242440662'], 'label': '2-6162-1.1-c1-0-48', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/6162/2/a/bj/1/4'}