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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 9.57722862358238e-06, 'bad_primes': [2, 73], 'central_character': '1.1', 'conductor': 619864990879744, 'conductor_radical': 146, 'degree': 12, 'dirichlet_coefficients': [1, 0, 0, 0, 0, 0, 0, -1, -3, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'euler11': [1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1], 'euler13': [1, -6, 15, -19, 9, 9, -18, 9, 9, -19, 15, -6, 1], 'euler17': [1, 0, 0, 2, 0, 0, 3, 0, 0, 2, 0, 0, 1], 'euler19': [1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1], 'euler2': [1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0], 'euler23': [1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1], 'euler29': [1, 3, 6, 8, 9, 9, 9, 9, 9, 8, 6, 3, 1], 'euler3': [1, 0, 3, 0, 6, 0, 7, 0, 6, 0, 3, 0, 1], 'euler31': [1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1], 'euler37': [1, 3, 6, 8, 9, 9, 9, 9, 9, 8, 6, 3, 1], 'euler41': [1, 3, 6, 8, 9, 9, 9, 9, 9, 8, 6, 3, 1], 'euler43': [1, 0, 3, 0, 6, 0, 7, 0, 6, 0, 3, 0, 1], 'euler47': [1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1], 'euler5': [1, 0, 0, 2, 0, 0, 3, 0, 0, 2, 0, 0, 1], 'euler53': [1, 0, 0, 2, 0, 0, 3, 0, 0, 2, 0, 0, 1], 'euler59': [1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1], 'euler61': [1, 3, 6, 8, 9, 9, 9, 9, 9, 8, 6, 3, 1], 'euler67': [1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1], 'euler7': [1, 0, 3, 0, 6, 0, 7, 0, 6, 0, 3, 0, 1], 'euler71': [1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1], 'euler73': [1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0], 'euler79': [1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1], 'euler83': [1, 0, -6, 0, 15, 0, -20, 0, 15, 0, -6, 0, 1], 'euler89': [1, 3, 6, 8, 9, 9, 9, 9, 9, 8, 6, 3, 1], 'euler97': [1, 0, 0, 2, 0, 0, 3, 0, 0, 2, 0, 0, 1], 'euler_factors': [[1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0], [1, 0, 3, 0, 6, 0, 7, 0, 6, 0, 3, 0, 1], [1, 0, 0, 2, 0, 0, 3, 0, 0, 2, 0, 0, 1], [1, 0, 3, 0, 6, 0, 7, 0, 6, 0, 3, 0, 1], [1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1], [1, -6, 15, -19, 9, 9, -18, 9, 9, -19, 15, -6, 1], [1, 0, 0, 2, 0, 0, 3, 0, 0, 2, 0, 0, 1], [1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1], [1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1], [1, 3, 6, 8, 9, 9, 9, 9, 9, 8, 6, 3, 1], [1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1], [1, 3, 6, 8, 9, 9, 9, 9, 9, 8, 6, 3, 1], [1, 3, 6, 8, 9, 9, 9, 9, 9, 8, 6, 3, 1], [1, 0, 3, 0, 6, 0, 7, 0, 6, 0, 3, 0, 1], [1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1], [1, 0, 0, 2, 0, 0, 3, 0, 0, 2, 0, 0, 1], [1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1], [1, 3, 6, 8, 9, 9, 9, 9, 9, 8, 6, 3, 1], [1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1], [1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1], [1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1], [1, 0, -6, 0, 15, 0, -20, 0, 15, 0, -6, 0, 1], [1, 3, 6, 8, 9, 9, 9, 9, 9, 8, 6, 3, 1], [1, 0, 0, 2, 0, 0, 3, 0, 0, 2, 0, 0, 1]], 'index': 1, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/292/1/r/a'], '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': '12-292e6-1.1-c0e6-0-1', 'motivic_weight': 0, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [0, 0, 0, 0, 0, 0], 'order_of_vanishing': 0, 'prelabel': '12-292e6-1.1-c0e6-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 0.38174203814727653, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c0e6-0', 'trace_hash': 2125269519714655738, 'z1': {'__RealLiteral__': 0, 'data': '1.37615098528970397593758210245', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1744478622507162534661429070093,2265057025499351384917366811427,2279162451663051421521311410509,2307651486981434325173192316082,3696375036503507483195559090728,3920266558655426936653671081029', 'Lhash_array': ['1744478622507162534661429070093', '2265057025499351384917366811427', '2279162451663051421521311410509', '2307651486981434325173192316082', '3696375036503507483195559090728', '3920266558655426936653671081029'], 'label': '12-292e6-1.1-c0e6-0-1', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/292/1/r/a'}