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'6.39126697049870655847126734062120', '6.63080931970794129547440742368104', '6.71106048215343973932414234318087', '7.38463198361793927193907405305043', '7.45591674519523822752684034021140', '7.69255823186013217235940958321569', '7.86600980705151568261608228096124', '8.042026762622401068761339545533065', '8.163556567202785062837310357134667'], 'prelabel': '6-6384e3-1.1-c1e3-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 7.139782675290993, 'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'sign_arg': 0, 'spectral_label': 'c1e3-0', 'trace_hash': 1917219262299454548, 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.75402570218372727066863855989', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '0.904788374363327298438206443996', 'prec': 107}, 'z3': {'__RealLiteral__': 0, 'data': '1.16460905869861157777417648170', 'prec': 103}}
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{'algebraic': True, 'analytic_conductor': 132467.68786831282, 'bad_primes': [2, 3, 7, 19], 'central_character': '1.1', 'conductor': 260182831104, 'conductor_radical': 798, 'degree': 6, 'dirichlet_coefficients': [1, 0, 3, 0, 0, 0, 3, 0, 6, 0, 2, 0, 12, 0, 0, 0, 0, 0, 3, 0, 9, 0, 2, 0, -5, 0, 10, 0, 2, 0, 8, 0, 6, 0, 0, 0, 6, 0, 36, 0, 2, 0, 4, 0, 0, 0, 4, 0, 6, 0, 0, 0, -14, 0, 0, 0, 9, 0, -4, 0, 2, 0, 18, 0, 0, 0, -2, 0, 6, 0, -8, 0, 14, 0, -15, 0, 6, 0, -2, 0, 15, 0, -4, 0, 0, 0, 6, 0, 10, 0, 36, 0, 24, 0, 0, 0, 28, 0, 12, 0], 'euler11': [1, -2, 9, -60, 99, -242, 1331], 'euler13': [1, -12, 87, -376, 1131, -2028, 2197], 'euler17': [1, 0, 41, -8, 697, 0, 4913], 'euler19': [1, -3, 3, -1, 0, 0, 0], 'euler2': [1, 0, 0, 0, 0, 0, 0], 'euler23': [1, -2, 45, -108, 1035, -1058, 12167], 'euler29': [1, -2, 69, -72, 2001, -1682, 24389], 'euler3': [1, -3, 3, -1, 0, 0, 0], 'euler31': [1, -8, 89, -480, 2759, -7688, 29791], 'euler37': [1, -6, 123, -452, 4551, -8214, 50653], 'euler41': [1, -2, 47, -364, 1927, -3362, 68921], 'euler43': [1, -4, 109, -280, 4687, -7396, 79507], 'euler47': [1, -4, 127, -384, 5969, -8836, 103823], 'euler5': [1, 0, 5, -8, 25, 0, 125], 'euler53': [1, 14, 173, 1480, 9169, 39326, 148877], 'euler59': [1, 4, 49, 216, 2891, 13924, 205379], 'euler61': [1, -2, 51, -236, 3111, -7442, 226981], 'euler67': [1, 2, 177, 284, 11859, 8978, 300763], 'euler7': [1, -3, 3, -1, 0, 0, 0], 'euler71': [1, 8, 167, 1120, 11857, 40328, 357911], 'euler73': [1, -14, 207, -2036, 15111, -74606, 389017], 'euler79': [1, 2, 205, 284, 16195, 12482, 493039], 'euler83': [1, 4, 187, 432, 15521, 27556, 571787], 'euler89': [1, -10, 223, -1308, 19847, -79210, 704969], 'euler97': [1, -28, 519, -5944, 50343, -263452, 912673], 'euler_factors': [[1, 0, 0, 0, 0, 0, 0], [1, -3, 3, -1, 0, 0, 0], [1, 0, 5, -8, 25, 0, 125], [1, -3, 3, -1, 0, 0, 0], [1, -2, 9, -60, 99, -242, 1331], [1, -12, 87, -376, 1131, -2028, 2197], [1, 0, 41, -8, 697, 0, 4913], [1, -3, 3, -1, 0, 0, 0], [1, -2, 45, -108, 1035, -1058, 12167], [1, -2, 69, -72, 2001, -1682, 24389], [1, -8, 89, -480, 2759, -7688, 29791], [1, -6, 123, -452, 4551, -8214, 50653], [1, -2, 47, -364, 1927, -3362, 68921], [1, -4, 109, -280, 4687, -7396, 79507], [1, -4, 127, -384, 5969, -8836, 103823], [1, 14, 173, 1480, 9169, 39326, 148877], [1, 4, 49, 216, 2891, 13924, 205379], [1, -2, 51, -236, 3111, -7442, 226981], [1, 2, 177, 284, 11859, 8978, 300763], [1, 8, 167, 1120, 11857, 40328, 357911], [1, -14, 207, -2036, 15111, -74606, 389017], [1, 2, 205, 284, 16195, 12482, 493039], [1, 4, 187, 432, 15521, 27556, 571787], [1, -10, 223, -1308, 19847, -79210, 704969], [1, -28, 519, -5944, 50343, -263452, 912673]], 'index': 1, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/6384/2/a/bw'], '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': '6-6384e3-1.1-c1e3-0-1', 'motivic_weight': 1, '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}], 'nu_real_doubled': [1, 1, 1], 'order_of_vanishing': 0, 'prelabel': '6-6384e3-1.1-c1e3-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 7.139782675290993, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e3-0', 'trace_hash': 1917219262299454548, 'z1': {'__RealLiteral__': 0, 'data': '0.75402570218372727066863855989', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '955841133960714019621985521767,1146955525841195777023688693078,1476317372290528214176804493921', 'Lhash_array': ['955841133960714019621985521767', '1146955525841195777023688693078', '1476317372290528214176804493921'], 'label': '6-6384e3-1.1-c1e3-0-1', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/6384/2/a/bw'}