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{'Lhash': '3083960963168632396887928255737,4612021319729838910299800998563,5588968844859698155385459607709', 'a10': -8, 'a2': 1, 'a3': 4, 'a4': 1, 'a5': -8, 'a6': 4, 'a7': 22, 'a8': -15, 'a9': -3, 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 1.0091250258036668, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.5', 'prec': 10}, 'bad_lfactors': [[17, [1, 51, 867, 4913]]], 'bad_primes': [17], 'central_character': '17.1', 'coefficient_field': '1.1.1.1', 'conductor': 4913, 'conductor_radical': 17, 'degree': 6, 'euler_factors': [[1, -1, 0, 16, 0, -64, 512], [1, -4, 19, -12, 513, -2916, 19683], [1, 8, 331, 2032, 41375, 125000, 1953125], [1, -22, 891, -14300, 305613, -2588278, 40353607], [1, 28, 2627, 69844, 3496537, 49603708, 2357947691], [1, -30, 5119, -141212, 11246443, -144804270, 10604499373], [1, 51, 867, 4913], [1, -80, 15945, -757312, 109366755, -3763670480, 322687697779], [1, -142, 20731, -1854884, 252234077, -21021096238, 1801152661463], [1, 456, 127075, 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'12.77482808723179505181256238677650', '13.15157710861435480148132838770720', '13.53903149732419800522825997454094', '14.05477192401478735713806224842338', '14.54293188176067705734753133800574', '14.91646528533242250020355845294214', '15.56017278704067734646266647190799', '15.56194346425825622226188432957195', '15.88180455081542440268242258295767', '16.84478912715586378870444349204133', '17.26837424769575811362802477692744', '17.48225705643740613688541171471245', '18.23764392374568123311530356386811', '18.47951223268626911027103487298532', '18.73634788817423347250629986429521'], 'prelabel': '6-17e3-1.1-c3e3-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 1.0015150873040262, 'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, 'spectral_label': 'c3e3-0', 'trace_hash': 1155523581420487734, 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '2.43281623707147080051052305557', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '3.63824331318068623675418956800', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '4.40891902220805417967654927496', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 1.0091250258036668, 'bad_primes': [17], 'central_character': '1.1', 'conductor': 4913, 'conductor_radical': 17, 'degree': 6, 'dirichlet_coefficients': [1, 1, 4, 1, -8, 4, 22, -15, -3, -8, -28, 4, 30, 22, -32, -31, -51, -3, 80, -8, 88, -28, 142, -60, -267, 30, -76, 22, -456, -32, 230, 17, -112, -51, -176, -3, 356, 80, 120, 120, -294, 88, 556, -28, 24, 142, 640, -124, -407, -267, -204, 30, 302, -76, 224, -330, 320, -456, 636, -32, -84, 230, -66, -191, -240, -112, 1008, -51, 568, -176, -402, 45, 838, 356, -1068, 80, -616, 120, -594, 248, -712, -294, -2396, 88, 408, 556, -1824, 420, -170, 24, 660, 142, 920, 640, -640, 68, -270, -407, 84, -267], 'euler11': [1, 28, 2627, 69844, 3496537, 49603708, 2357947691], 'euler13': [1, -30, 5119, -141212, 11246443, -144804270, 10604499373], 'euler17': [1, 51, 867, 4913, 0, 0, 0], 'euler19': [1, -80, 15945, -757312, 109366755, -3763670480, 322687697779], 'euler2': [1, -1, 0, 16, 0, -64, 512], 'euler23': [1, -142, 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lfunc_instances • Show schema
Hide schema
{'Lhash': '3083960963168632396887928255737,4612021319729838910299800998563,5588968844859698155385459607709', 'Lhash_array': ['3083960963168632396887928255737', '4612021319729838910299800998563', '5588968844859698155385459607709'], 'label': '6-17e3-1.1-c3e3-0-0', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/17/4/a/b'}