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lfunc_lfunctions • Show schema
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{'Lhash': '869930423121222302417485408307', 'a10': [0, 0], 'a2': [0, 0], 'a3': [0, 0], 'a4': [0, 0], 'a5': [1.9204759550245294, 3.326361928816847], 'a6': [0, 0], 'a7': [2.553362615349572, 0.6930651877963516], 'a8': [0, 0], 'a9': [0, 0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 24.1467615712352, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [3, [[1.0, 0], [0, 0]]], [7, [[1.0, 0], [-2.553362615349572, -0.6930651877963516]]]], 'bad_primes': [2, 3, 7], 'central_character': '3024.2305', 'coefficient_field': 'CDF', 'conductor': 3024, 'conductor_radical': 42, 'conjugate': '2063928672709960327889801844342', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [-1.9204759550245294, -3.326361928816847], [-2.5, 4.330127018922194]], [[1.0, 0], [-2.553362615349572, -0.6930651877963516]], [[1.0, 0], [0.9033156272483632, -1.5645885616651145], [-5.5, -9.526279441628825]], [[1.0, 0], 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'8.487654156024115750049990806389646'], 'prelabel': '2-3024-63.58-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 4.9139354463846185, 'root_angle': -0.6261755778805623, 'root_number': '-0.3860928745065285669203973811464708357205390600082134497 - 0.92245991363055228613226335241795819782546829134186502070*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '-0.31308778894028116', 'prec': 67}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.68625410106270524358785150689', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '1.58484315051892057223864877176', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '2.54643892949723033796755149978', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 24.1467615712352, 'bad_primes': [2, 3, 7], 'central_character': '63.58', 'conductor': 3024, 'conductor_radical': 42, 'degree': 2, 'index': 16, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/3024/2/q/k/2305/11'], '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': '2-3024-63.58-c1-0-16', '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': '2-3024-63.58-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 4.9139354463846185, 'root_angle': -0.31308778894028116, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.68625410106270524358785150689', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '869930423121222302417485408307', 'Lhash_array': ['869930423121222302417485408307'], 'label': '2-3024-63.58-c1-0-16', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/3024/2/q/k/2305/11'}