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{'Lhash': '1133410679213585578614573047492,2003839554299443424609948593972,2223395755237664392235764545585,2735236962686075623812551569033,2956981382464007108326689383317,3401071074487651335598932435249,3694444601681802140362796056200', 'a10': 11, 'a2': 1, 'a3': -2, 'a4': -2, 'a5': 11, 'a6': -2, 'a7': -5, 'a8': -1, 'a9': -2, 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 2.075120643757839, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[139, [1, -7, 21, -35, 35, -21, 7, -1]]], 'bad_primes': [139], 'central_character': '139.1', 'coefficient_field': '1.1.1.1', 'conductor': 1002544368429379, 'conductor_radical': 139, 'degree': 14, 'euler_factors': [[1, -1, 3, -4, 9, -6, 18, -16, 36, -24, 72, -64, 96, -64, 128], [1, 2, 6, 11, 20, 22, 43, 26, 129, 198, 540, 891, 1458, 1458, 2187], [1, -11, 71, -328, 1214, -3766, 10155, -24093, 50775, -94150, 151750, -205000, 221875, -171875, 78125], [1, 5, 41, 128, 594, 1270, 4799, 8663, 33593, 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'10.45129103273636282709504485339007', '10.51987648643328951662529690707992', '10.83209593578808880254649204403384', '10.97436313414195187164114782786440', '11.04786899258460943906342050947060', '11.37677348665669796111510609675072', '11.38164927016222212567588468594979', '11.44500324511260075212299729008582', '11.89909691673803869107046468421007', '11.96019203140438444434046166715135', '12.08233218630803587058427298945169', '12.31868062151420282469624896129324', '12.44367113862072751193126124687984', '12.62126351858361171176761728325774', '12.73768270477423035949268047098086', '12.77710825957643879050791628187722', '13.07159216399260031145544113081569', '13.12870505338129325796123193347251', '13.30110565445962610173812134792222', '13.32731619225253505087244368273922', '13.36762271311297173460338878268215', '13.38693930951906590344494156357528'], 'prelabel': '14-139e7-1.1-c1e7-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 1.053527687389277, 'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, 'spectral_label': 'c1e7-0', 'trace_hash': 1475624687760253674, 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.894103374391590948326768822514', 'prec': 107}, 'z2': {'__RealLiteral__': 0, 'data': '1.58075068472232777858525680636', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '1.75394998814133913255523014847', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 2.075120643757839, 'bad_primes': [139], 'central_character': '1.1', 'conductor': 1002544368429379, 'conductor_radical': 139, 'degree': 14, 'dirichlet_coefficients': [1, 1, -2, -2, 11, -2, -5, -1, -2, 11, 2, 4, 6, -5, -22, 0, 5, -2, -10, -22, 10, 2, -1, 2, 50, 6, 5, 10, 30, -22, -20, -8, -4, 5, -55, 4, 6, -10, -12, -11, 19, 10, -12, -4, -22, -1, -3, 0, -16, 50, -10, -12, 38, 5, 22, 5, 20, 30, -14, 44, 4, -20, 10, -6, 66, -4, 9, -10, 2, -55, 24, 2, -5, 6, -100, 20, -10, -12, 8, 0, 4, 19, -9, -20, 55, -12, -60, -2, 10, -22, -30, 2, 40, -3, -110, 16, -5, -16, -4, -100], 'euler11': [1, -2, 41, -50, 747, -336, 8869, -387, 97559, -40656, 994257, -732050, 6603091, -3543122, 19487171], 'euler13': [1, -6, 89, -404, 3311, -11844, 69309, -197757, 901017, -2001636, 7274267, -11538644, 33045077, -28960854, 62748517], 'euler17': [1, -5, 77, -147, 1585, 3829, 3881, 165878, 65977, 1106581, 7787105, -12277587, 109328989, -120687845, 410338673], 'euler19': [1, 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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': [1, 1, 1, 1, 1, 1, 1], 'order_of_vanishing': 0, 'prelabel': '14-139e7-1.1-c1e7-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 1.053527687389277, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e7-0', 'trace_hash': 1475624687760253674, 'z1': {'__RealLiteral__': 0, 'data': '0.894103374391590948326768822514', 'prec': 107}}
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lfunc_instances • Show schema
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{'Lhash': '1133410679213585578614573047492,2003839554299443424609948593972,2223395755237664392235764545585,2735236962686075623812551569033,2956981382464007108326689383317,3401071074487651335598932435249,3694444601681802140362796056200', 'Lhash_array': ['1133410679213585578614573047492', '2003839554299443424609948593972', '2223395755237664392235764545585', '2735236962686075623812551569033', '2956981382464007108326689383317', '3401071074487651335598932435249', '3694444601681802140362796056200'], 'label': '14-139e7-1.1-c1e7-0-0', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/139/2/a/c'}