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lfunc_lfunctions • Show schema
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{'Lhash': '1319738934767029674583110697201', 'a10': [-2.232718777592441, 0.122339119606593], 'a2': [-0.7071067811865476, -0.7071067811865476], 'a3': [-0.7071067811865476, -0.7071067811865476], 'a4': [0, 1.0], 'a5': [1.49226376703994, -1.665277409196368], 'a6': [0, 1.0], 'a7': [0, 0], 'a8': [0.7071067811865476, -0.7071067811865476], 'a9': [0, 1.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 11.738009097128222, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0.7071067811865476, 0.7071067811865476]]], [3, [[1.0, 0], [0.7071067811865476, 0.7071067811865476]]], [5, [[1.0, 0], [-1.49226376703994, 1.665277409196368]]], [7, [[1.0, 0], [0, 0]]]], 'bad_primes': [2, 3, 5, 7], 'central_character': '1470.97', 'coefficient_field': 'CDF', 'conductor': 1470, 'conductor_radical': 210, 'conjugate': '1139649743482649486903701200639', 'degree': 2, 'euler_factors': [[[1.0, 0], [0.7071067811865476, 0.7071067811865476]], [[1.0, 0], 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'0.2419636518671894815979522195215346519231006735235344703 + 0.9702853143148635391983103272917418339058068501286221020*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.21110426190848455', 'prec': 64}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.04109045073573287789850090334', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '2.58377513223097753871348401518', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.63532242155744052867296199761', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 11.738009097128222, 'bad_primes': [2, 3, 5, 7], 'central_character': '35.27', 'conductor': 1470, 'conductor_radical': 210, 'degree': 2, 'index': 22, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/1470/2/m/c/97/4'], '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': '2-1470-35.27-c1-0-22', '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': '2-1470-35.27-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 3.4260778007990744, 'root_angle': 0.21110426190848455, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.04109045073573287789850090334', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1319738934767029674583110697201', 'Lhash_array': ['1319738934767029674583110697201'], 'label': '2-1470-35.27-c1-0-22', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/1470/2/m/c/97/4'}