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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 1.4554971277136974, 'bad_primes': [2, 3, 5, 7], 'central_character': '1.1', 'conductor': 378228593610000000000000000, 'conductor_radical': 210, 'degree': 16, 'dirichlet_coefficients': [1, 0, 0, 1, -2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, -6, 0, 0, 0, -2, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], 'euler11': [1, 0, -2, 0, 3, 0, -4, 0, 5, 0, -4, 0, 3, 0, -2, 0, 1], 'euler13': [1, 0, -2, 0, 3, 0, -4, 0, 5, 0, -4, 0, 3, 0, -2, 0, 1], 'euler17': [1, 0, 2, 0, 3, 0, 4, 0, 5, 0, 4, 0, 3, 0, 2, 0, 1], 'euler19': [1, 0, -2, 0, 3, 0, -4, 0, 5, 0, -4, 0, 3, 0, -2, 0, 1], 'euler2': [1, 0, -1, 0, 1, 0, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0], 'euler23': [1, 0, -2, 0, 3, 0, -4, 0, 5, 0, -4, 0, 3, 0, -2, 0, 1], 'euler29': [1, 0, 2, 0, 3, 0, 4, 0, 5, 0, 4, 0, 3, 0, 2, 0, 1], 'euler3': [1, 0, -1, 0, 1, 0, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0], 'euler31': [1, 0, -2, 0, 3, 0, -4, 0, 5, 0, -4, 0, 3, 0, -2, 0, 1], 'euler37': [1, 0, 2, 0, 3, 0, 4, 0, 5, 0, 4, 0, 3, 0, 2, 0, 1], 'euler41': [1, 6, 15, 20, 15, 8, 13, 30, 40, 30, 13, 8, 15, 20, 15, 6, 1], 'euler43': [1, 0, 8, 0, 28, 0, 56, 0, 70, 0, 56, 0, 28, 0, 8, 0, 1], 'euler47': [1, 0, -2, 0, 3, 0, -4, 0, 5, 0, -4, 0, 3, 0, -2, 0, 1], 'euler5': [1, 2, 3, 4, 5, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0], 'euler53': [1, 0, -2, 0, 3, 0, -4, 0, 5, 0, -4, 0, 3, 0, -2, 0, 1], 'euler59': [1, 0, 2, 0, 3, 0, 4, 0, 5, 0, 4, 0, 3, 0, 2, 0, 1], 'euler61': [1, 0, 2, 0, 3, 0, 4, 0, 5, 0, 4, 0, 3, 0, 2, 0, 1], 'euler67': [1, 0, -2, 0, 3, 0, -4, 0, 5, 0, -4, 0, 3, 0, -2, 0, 1], 'euler7': [1, 0, 4, 0, 6, 0, 4, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0], 'euler71': [1, 0, -2, 0, 3, 0, -4, 0, 5, 0, -4, 0, 3, 0, -2, 0, 1], 'euler73': [1, 0, -2, 0, 3, 0, -4, 0, 5, 0, -4, 0, 3, 0, -2, 0, 1], 'euler79': [1, 0, 2, 0, 3, 0, 4, 0, 5, 0, 4, 0, 3, 0, 2, 0, 1], 'euler83': [1, 0, -2, 0, 3, 0, -4, 0, 5, 0, -4, 0, 3, 0, -2, 0, 1], 'euler89': [1, 6, 15, 20, 15, 8, 13, 30, 40, 30, 13, 8, 15, 20, 15, 6, 1], 'euler97': [1, 0, -2, 0, 3, 0, -4, 0, 5, 0, -4, 0, 3, 0, -2, 0, 1], 'euler_factors': [[1, 0, -1, 0, 1, 0, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, -1, 0, 1, 0, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [1, 2, 3, 4, 5, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 4, 0, 6, 0, 4, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, -2, 0, 3, 0, -4, 0, 5, 0, -4, 0, 3, 0, -2, 0, 1], [1, 0, -2, 0, 3, 0, -4, 0, 5, 0, -4, 0, 3, 0, -2, 0, 1], [1, 0, 2, 0, 3, 0, 4, 0, 5, 0, 4, 0, 3, 0, 2, 0, 1], [1, 0, -2, 0, 3, 0, -4, 0, 5, 0, -4, 0, 3, 0, -2, 0, 1], [1, 0, -2, 0, 3, 0, -4, 0, 5, 0, -4, 0, 3, 0, -2, 0, 1], [1, 0, 2, 0, 3, 0, 4, 0, 5, 0, 4, 0, 3, 0, 2, 0, 1], [1, 0, -2, 0, 3, 0, -4, 0, 5, 0, -4, 0, 3, 0, -2, 0, 1], [1, 0, 2, 0, 3, 0, 4, 0, 5, 0, 4, 0, 3, 0, 2, 0, 1], [1, 6, 15, 20, 15, 8, 13, 30, 40, 30, 13, 8, 15, 20, 15, 6, 1], [1, 0, 8, 0, 28, 0, 56, 0, 70, 0, 56, 0, 28, 0, 8, 0, 1], [1, 0, -2, 0, 3, 0, -4, 0, 5, 0, -4, 0, 3, 0, -2, 0, 1], [1, 0, -2, 0, 3, 0, -4, 0, 5, 0, -4, 0, 3, 0, -2, 0, 1], [1, 0, 2, 0, 3, 0, 4, 0, 5, 0, 4, 0, 3, 0, 2, 0, 1], [1, 0, 2, 0, 3, 0, 4, 0, 5, 0, 4, 0, 3, 0, 2, 0, 1], [1, 0, -2, 0, 3, 0, -4, 0, 5, 0, -4, 0, 3, 0, -2, 0, 1], [1, 0, -2, 0, 3, 0, -4, 0, 5, 0, -4, 0, 3, 0, -2, 0, 1], [1, 0, -2, 0, 3, 0, -4, 0, 5, 0, -4, 0, 3, 0, -2, 0, 1], [1, 0, 2, 0, 3, 0, 4, 0, 5, 0, 4, 0, 3, 0, 2, 0, 1], [1, 0, -2, 0, 3, 0, -4, 0, 5, 0, -4, 0, 3, 0, -2, 0, 1], [1, 6, 15, 20, 15, 8, 13, 30, 40, 30, 13, 8, 15, 20, 15, 6, 1], [1, 0, -2, 0, 3, 0, -4, 0, 5, 0, -4, 0, 3, 0, -2, 0, 1]], 'index': 0, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/2100/1/bq/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': '16-2100e8-1.1-c0e8-0-0', '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}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [0, 0, 0, 0, 0, 0, 0, 0], 'order_of_vanishing': 0, 'prelabel': '16-2100e8-1.1-c0e8-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 1.0237365513301282, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c0e8-0', 'trace_hash': 227464253202305180, 'z1': {'__RealLiteral__': 0, 'data': '0.04419857125729080647102953214', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '56028345383534858662545338689,841830120526043377757442199830,1324939806757188205272158112045,1773240035038779574557081347112,1820359263607377504239228733708,1822952214073432127798963015430,1955415278918951954520918722810,2265871046055385098122026370942', 'Lhash_array': ['56028345383534858662545338689', '841830120526043377757442199830', '1324939806757188205272158112045', '1773240035038779574557081347112', '1820359263607377504239228733708', '1822952214073432127798963015430', '1955415278918951954520918722810', '2265871046055385098122026370942'], 'factors': ['2-2100-2100.839-c0-0-0', '2-2100-2100.1679-c0-0-0', '2-2100-2100.419-c0-0-1', '2-2100-2100.419-c0-0-2', '2-2100-2100.1679-c0-0-2', '2-2100-2100.1259-c0-0-1', '2-2100-2100.839-c0-0-3', '2-2100-2100.1259-c0-0-2'], 'label': '16-2100e8-1.1-c0e8-0-0', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/2100/1/bq/a'}