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lfunc_lfunctions • Show schema
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{'Lhash': '2297302027558457566088527849182', 'a10': [2.0, 0.0], 'a2': [-1.0, 0.0], 'a3': [0.0, 0.0], 'a4': [1.0, 0.0], 'a5': [-2.0, 0.0], 'a6': [0.0, 0.0], 'a7': [-1.5615528128088303, 0.0], 'a8': [-1.0, 0.0], 'a9': [0.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 5.318036774617276, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [1.0, 0]]], [3, [[1.0, 0], [0, 0]]], [37, [[1.0, 0], [1.0, 0]]]], 'bad_primes': [2, 3, 37], 'central_character': '666.1', 'coefficient_field': 'CDF', 'conductor': 666, 'conductor_radical': 222, 'conjugate': '2297302027558457566088527849182', 'degree': 2, 'euler_factors': [[[1.0, 0], [1.0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [2.0, 0], [5.0, 0]], [[1.0, 0], [1.5615528128088303, 0], [7.0, 0]], [[1.0, 0], [-1.5615528128088303, 0], [11.0, 0]], [[1.0, 0], [-6.68465843842649, 0], [13.0, 0]], [[1.0, 0], [3.5615528128088303, 0], [17.0, 0]], [[1.0, 0], [3.5615528128088303, 0], [19.0, 0]], 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'8.523746805209980316711267621929071', '8.975123713168213773965377021202951', '10.13584358345770401042953234905357'], 'prelabel': '2-666-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.3060868965885213, 'root_angle': 1.0, 'root_number': '-1', 'self_dual': True, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.81225175702583064467541270675', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '3.51422167165774756982684200647', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '4.13297606196451654133338922812', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 5.318036774617276, 'bad_primes': [2, 3, 37], 'central_character': '1.1', 'conductor': 666, 'conductor_radical': 222, 'degree': 2, 'index': 9, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/666/2/a/h/1/1'], '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': '2-666-1.1-c1-0-9', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [1], 'order_of_vanishing': 1, 'prelabel': '2-666-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.3060868965885213, 'root_angle': 0.5, 'self_dual': True, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.81225175702583064467541270675', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2297302027558457566088527849182', 'Lhash_array': ['2297302027558457566088527849182'], 'label': '2-666-1.1-c1-0-9', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/666/2/a/h/1/1'}