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{'Lhash': '1074812516149444039911128377054,1087461004332013947355191000165,1192864927365983804707138322817,1378144326703158122928602720528,1583497207692887078083571358188,2038943612845390510441488648694,2129518647630916668409378107822', 'a10': 7, 'a2': 1, 'a3': 0, 'a4': 0, 'a5': 7, 'a6': 0, 'a7': 10, 'a8': -1, 'a9': 0, 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 13341766.352854742, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[3, [1]], [5, [1, -7, 21, -35, 35, -21, 7, -1]], [29, [1, 7, 21, 35, 35, 21, 7, 1]]], 'bad_primes': [3, 5, 29], 'central_character': '1305.1', 'coefficient_field': '1.1.1.1', 'conductor': 6445751846857923515625, 'conductor_radical': 435, 'degree': 14, 'euler_factors': [[1, -1, 1, 0, 1, -1, 7, -2, 14, -4, 8, 0, 32, -64, 128], [1], [1, -7, 21, -35, 35, -21, 7, -1], [1, -10, 64, -306, 1274, -4558, 14431, -40164, 101017, -223342, 436982, -734706, 1075648, -1176490, 823543], [1, 3, 36, 147, 766, 3369, 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'8.910056851265056053263962879695240', '8.943162569605366770590729745545123', '9.150471074847902564009627814375975', '9.457472946476541778319002893184508', '9.512324902331578212361287761702705', '9.579621732537984826438462580788944', '9.587019065459262387043763916448059', '9.730955696061759256548690302412957', '9.852872886597645732785729045591723', '9.971079346243260639257260814756038'], 'prelabel': '14-1305e7-1.1-c1e7-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 3.228076434004792, 'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'sign_arg': 0, 'spectral_label': 'c1e7-0', 'trace_hash': 1674410256552264354, 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.847877574432523795244460143323', 'prec': 107}, 'z2': {'__RealLiteral__': 0, 'data': '0.857855472269903162865508309743', 'prec': 107}, 'z3': {'__RealLiteral__': 0, 'data': '0.941004506408326481606102938697', 'prec': 107}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 13341766.352854742, 'bad_primes': [3, 5, 29], 'central_character': '1.1', 'conductor': 6445751846857923515625, 'conductor_radical': 435, 'degree': 14, 'dirichlet_coefficients': [1, 1, 0, 0, 7, 0, 10, -1, 0, 7, -3, 0, 6, 10, 0, -2, 8, 0, 10, 0, 0, -3, 11, 0, 28, 6, 0, 0, -7, 0, 18, -1, 0, 8, 70, 0, 13, 10, 0, -7, -13, 0, 9, 0, 0, 11, 2, 0, 36, 28, 0, 0, 5, 0, -21, -10, 0, -7, -8, 0, 14, 18, 0, -5, 42, 0, 14, 0, 0, 70, -8, 0, 3, 13, 0, 0, -30, 0, 4, -14, 0, -13, 17, 0, 56, 9, 0, 3, -20, 0, 60, 0, 0, 2, 70, 0, 13, 36, 0, 0], 'euler11': [1, 3, 36, 147, 766, 3369, 11227, 46518, 123497, 407649, 1019546, 2152227, 5797836, 5314683, 19487171], 'euler13': [1, -6, 56, -292, 1618, -7146, 30345, -112056, 394485, -1207674, 3554746, -8339812, 20792408, -28960854, 62748517], 'euler17': [1, -8, 96, -562, 4066, -19040, 104125, -400748, 1770125, -5502560, 19976258, -46938802, 136306272, -193100552, 410338673], 'euler19': [1, -10, 113, -796, 5605, -31310, 165901, 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'0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [1, 1, 1, 1, 1, 1, 1], 'order_of_vanishing': 0, 'prelabel': '14-1305e7-1.1-c1e7-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 3.228076434004792, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e7-0', 'trace_hash': 1674410256552264354, 'z1': {'__RealLiteral__': 0, 'data': '0.847877574432523795244460143323', 'prec': 107}}
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lfunc_instances • Show schema
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{'Lhash': '1074812516149444039911128377054,1087461004332013947355191000165,1192864927365983804707138322817,1378144326703158122928602720528,1583497207692887078083571358188,2038943612845390510441488648694,2129518647630916668409378107822', 'Lhash_array': ['1074812516149444039911128377054', '1087461004332013947355191000165', '1192864927365983804707138322817', '1378144326703158122928602720528', '1583497207692887078083571358188', '2038943612845390510441488648694', '2129518647630916668409378107822'], 'factors': ['2-1305-1.1-c1-0-7', '2-1305-1.1-c1-0-9', '2-1305-1.1-c1-0-10', '2-1305-1.1-c1-0-16', '2-1305-1.1-c1-0-20', '2-1305-1.1-c1-0-35', '2-1305-1.1-c1-0-38'], 'label': '14-1305e7-1.1-c1e7-0-1', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/1305/2/a/t'}