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{'Lhash': '540842053091162403569298730347,690636406932339341589461363848,1128992654646634955629974252509', 'a10': 0, 'a2': 0, 'a3': 0, 'a4': 0, 'a5': -15, 'a6': 0, 'a7': -24, 'a8': 0, 'a9': 0, 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 258743.5181162607, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.5', 'prec': 10}, 'bad_lfactors': [[2, [1]], [3, [1]], [5, [1, 15, 75, 125]]], 'bad_primes': [2, 3, 5], 'central_character': '1080.1', 'coefficient_field': '1.1.1.1', 'conductor': 1259712000, 'conductor_radical': 30, 'degree': 6, 'euler_factors': [[1], [1], [1, 15, 75, 125], [1, 24, 921, 12904, 315903, 2823576, 40353607], [1, 6, 513, 60620, 682803, 10629366, 2357947691], [1, -48, 3435, -202552, 7546695, -231686832, 10604499373], [1, -27, -1158, 163141, -5689254, -651714363, 118587876497], [1, 195, 20832, 1720919, 142886688, 9173946795, 322687697779], [1, -27, -168, 1130141, -2044056, -3996969003, 1801152661463], [1, 60, 68067, 2620544, 1660086063, 35689399260, 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{'__RealLiteral__': 0, 'data': '0.890618167532417611202929288593', 'prec': 107}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 258743.5181162607, 'bad_primes': [2, 3, 5], 'central_character': '1.1', 'conductor': 1259712000, 'conductor_radical': 30, 'degree': 6, 'dirichlet_coefficients': [1, 0, 0, 0, -15, 0, -24, 0, 0, 0, -6, 0, 48, 0, 0, 0, 27, 0, -195, 0, 0, 0, 27, 0, 150, 0, 0, 0, -60, 0, -279, 0, 0, 0, 360, 0, -138, 0, 0, 0, -66, 0, 222, 0, 0, 0, 264, 0, -345, 0, 0, 0, 507, 0, 90, 0, 0, 0, 960, 0, 543, 0, 0, 0, -720, 0, -1086, 0, 0, 0, 1818, 0, 1362, 0, 0, 0, 144, 0, -129, 0, 0, 0, 1569, 0, -405, 0, 0, 0, 1770, 0, -1152, 0, 0, 0, 2925, 0, -336, 0, 0, 0], 'euler11': [1, 6, 513, 60620, 682803, 10629366, 2357947691], 'euler13': [1, -48, 3435, -202552, 7546695, -231686832, 10604499373], 'euler17': [1, -27, -1158, 163141, -5689254, -651714363, 118587876497], 'euler19': [1, 195, 20832, 1720919, 142886688, 9173946795, 322687697779], 'euler2': [1, 0, 0, 0, 0, 0, 0], 'euler23': [1, -27, -168, 1130141, -2044056, -3996969003, 1801152661463], 'euler29': [1, 60, 68067, 2620544, 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'primitive': False, 'rational': True, 'root_analytic_conductor': 7.982610024684901, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c3e3-0', 'trace_hash': 1946000707765343964, 'z1': {'__RealLiteral__': 0, 'data': '0.42664915158308489977791598156', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '540842053091162403569298730347,690636406932339341589461363848,1128992654646634955629974252509', 'Lhash_array': ['540842053091162403569298730347', '690636406932339341589461363848', '1128992654646634955629974252509'], 'label': '6-1080e3-1.1-c3e3-0-2', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/1080/4/a/c'}