{'Lhash': '2968716187260369855482353653572', 'a10': 0, 'a2': 0, 'a3': 0, 'a4': 0, 'a5': 0, 'a6': 0, 'a7': -2, 'a8': 0, 'a9': -3, 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 4.343861869957655, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 4}, 'bad_lfactors': [[2, [1]], [17, [1, 1]]], 'bad_primes': [2, 17], 'central_character': '544.1', 'coefficient_field': '1.1.1.1', 'conductor': 544, 'conductor_radical': 34, 'degree': 2, 'euler_factors': [[1], [1, 0, 3], [1, 0, 5], [1, 2, 7], [1, 4, 11], [1, -2, 13], [1, 1], [1, 4, 19], [1, 6, 23], [1, -8, 29], [1, -2, 31], [1, -4, 37], [1, 2, 41], [1, -4, 43], [1, 12, 47], [1, 6, 53], [1, 4, 59], [1, -4, 61], [1, 4, 67], [1, -6, 71], [1, 6, 73], [1, -10, 79], [1, -12, 83], [1, 10, 89], [1, 10, 97], [1, -2, 101], [1, -16, 103], [1, -4, 107], [1, 0, 109], [1, -10, 113]], 'euler_factors_factorization': [[1], [[[1, 0, 3], 1]], [[[1, 0, 5], 1]], [[[1, 2, 7], 1]], [[[1, 4, 11], 1]], [[[1, -2, 13], 1]], [[[1, 1], 1]], [[[1, 4, 19], 1]], [[[1, 6, 23], 1]], [[[1, -8, 29], 1]], [[[1, -2, 31], 1]], [[[1, -4, 37], 1]], [[[1, 2, 41], 1]], [[[1, -4, 43], 1]], [[[1, 12, 47], 1]], [[[1, 6, 53], 1]], [[[1, 4, 59], 1]], [[[1, -4, 61], 1]], [[[1, 4, 67], 1]], [[[1, -6, 71], 1]], [[[1, 6, 73], 1]], [[[1, -10, 79], 1]], [[[1, -12, 83], 1]], [[[1, 10, 89], 1]], [[[1, 10, 97], 1]], [[[1, -2, 101], 1]], [[[1, -16, 103], 1]], [[[1, -4, 107], 1]], [[[1, 0, 109], 1]], [[[1, -10, 113], 1]]], 'gamma_factors': [[], [0]], 'group': 'GL2', 'id': 11158816, 'index': 13, 'label': '2-544-1.1-c1-0-13', 'load_key': 'CMFs-workshop', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [0], 'nu_real_doubled': [1], 'order_of_vanishing': 1, 'origin': 'ModularForm/GL2/Q/holomorphic/544/2/a/c', 'plot_delta': {'__RealLiteral__': 0, 'data': '0.125', 'prec': 10}, 'plot_values': [-6.660433642103932e-120, 0.24017643346316325, 0.4858787863971086, 0.7409564999362149, 1.0062460347061226, 1.2787679156908014, 1.5514782447401905, 1.8135020353386795, 2.0507692258849883, 2.2470032134011704, 2.385030177414694, 2.4483682963734608, 2.423022700220886, 2.299365775882296, 2.0739351700772057, 1.7509442487511828, 1.3432811208169109, 0.8727800989694464, 0.36958869230745295, -0.12947445321222778, -0.5835725257736483, -0.9513908191643359, -1.1953051409854076, -1.2857905004785395, -1.2055800225547446, -0.9530282795780239, -0.5441411742015446, -0.012817467282430663, 0.5909925985562946, 1.2052771699083096, 1.761890030244069, 2.1939116821432587, 2.443672908653574, 2.4704700586291977, 2.2569112588098883, 1.8128830768461595, 1.1763321479553375, 0.410408303302238, -0.4030172713891535, -1.1729187222543829, -1.810714091675835, -2.2424258253234526, -2.4196907983076312, -2.327900841569757, -1.9900153573443033, -1.4651069044225804, -0.841425968926978, -0.22460852787715652, 0.27752541205893216, 0.571460681765476, 0.5932487679657256, 0.3200126547588023, -0.22443051073722242, -0.9711546114546573, -1.8151464700533877, -2.63075987914443, -3.291429350725753, -3.690580925810172, -3.760248526376126, -3.4840557345292047, -2.901979350427988, -2.105588701408557, -1.2240651781906835, -0.4029820089275054, 0.22073979279183956, 0.5433739864907071, 0.5139344242967177, 0.14488568043905328, -0.4883932655109344, -1.2598277284278665, -2.014795678480511, -2.5984626586399613, -2.8851701337139484, -2.8032694438407777, -2.3503907122967163, -1.595758442668184, -0.6685561286996106, 0.26593065939242655, 1.0381308395365831, 1.507893225284273, 1.5933405078728682, 1.2888093007626598, 0.6677790311071113, -0.1303887379083785, -0.9277638401119853, -1.544042829887217, -1.8343614837503448, -1.720806422680565, -1.2107137972094308, -0.39738124664709557, 0.5575787950044016, 1.457080103897855, 2.110007993756326, 2.372544266932681, 2.180340531479731, 1.5641888070634307, 0.645226502648584, -0.3898700929471874, -1.3287521181532314, -1.9798109992014525, -2.2148539651044232, -1.9982653982027088, -1.395647296365204, -0.5594246612748921, 0.30585206138133003, 0.9909675306389985, 1.3315021178810504, 1.247717933346609, 0.7651882377855922, 0.010747346244668833, -0.8159558377391023, -1.4891737400372105, -1.8113382712452712, -1.6620346059566213, -1.0296849058622677, -0.017781470596238105, 1.1765438373775032, 2.3071367201325437, 3.136334332719496, 3.4916214608041143, 3.3075037697873584, 2.6419573395968707, 1.6628544221689545, 0.6071420007619963, -0.27755106798076945, -0.794542959351867, -0.8474676370644201, -0.4646377289999587, 0.2082577711593408, 0.9458132632024314, 1.5017630670490418, 1.6741724449930173, 1.360101400961277, 0.5852213437712771, -0.49992831879747485, -1.6567937724463309, -2.6197857040523034, -3.1657963691975577, -3.1740157214688014, -2.659932947853548, -1.773890673720805, -0.76379170978672, 0.08885453324269997, 0.5429884831179111, 0.46250426936390127, -0.14631753625788757, -1.1350267012887085, -2.251460836417668, -3.2066456173841216, -3.7523852794503485, -3.7485236885106485, -3.201301523034386, -2.261865705105434, -1.1848193592248253, -0.2578000263512064, 0.27865315500417126, 0.2986257222296613, -0.17342058768376287, -0.9692169189217457, -1.8243305016716973, -2.4539405836317205, -2.635539078725353, -2.274954426332094, -1.4364080784853133, -0.3272582945746092, 0.7590553733766789, 1.5262172449688687, 1.7608526989260602, 1.3961697303679026, 0.5345500138369076, -0.5782571651796184, -1.6207684860775287, -2.286363872632625, -2.3709490181835298, -1.8321931228673944, -0.8027482280955148, 0.4469248896500176, 1.585753088471655, 2.3169635390686327, 2.46288844193316, 2.0145101386970556, 1.130822937581918, 0.08795375628141926, -0.8068927810726221, -1.3107760079950557, -1.3205974996621612, -0.9054805979332505, -0.2853776976147173, 0.23833272163491784, 0.3796106485111451, -0.037612851955503616, -1.0163855773354065, -2.3756069317056565, -3.7955950935598457, -4.9077554075103675, -5.4019198322264375, -5.1189704900667685, -4.1002893787295225, -2.578369632647513, -0.9107791848904984, 0.5228753704171732, 1.4297270971410103, 1.6848765190197503, 1.360112155255961, 0.6914229248969435, -0.004218805313191875, -0.4362371596400111, -0.43758306202290914, -0.020224158010397262, 0.6292939665157152, 1.213344714062659, 1.4257323125020063, 1.0601550773182133, 0.08899887345804817, -1.3142309454630416, -2.817777566647856, -4.027733811502996, -4.6077914595702385, -4.384770386228349, -3.4058757600102374, -1.928538823280132, -0.3450558245754062, 0.9347801661581306, 1.6060938469831552, 1.5574784116554041, 0.8974540987983449, -0.08939485903116114, -1.0419516735548342, -1.6448367472904994, -1.7329047280117775, -1.3432201045762533, -0.6971291755816452, -0.11838922927225692, 0.0850779579175871, -0.26436810524053334, -1.1428622416283287, -2.322374544562539, -3.4390883236922987, -4.11118826877041, -4.06722675522613, -3.241862274547994, -1.805927821131586, -0.11930383648383114, 1.3791501478030923, 2.3089711824223556, 2.46748113084881, 1.8914106017856058, 0.840028087694773, -0.29467004753882636, -1.1204862799621593, -1.3754358131176019, -1.0117899478045582, -0.2052246089216374, 0.7137890634058663, 1.3823571812070206, 1.5385178665758084, 1.118689752481083], 'positive_zeros': ['2.34190413882648615913196631792710', '3.37777254090361242162912900058231', '4.68811629121503471986666453564466', '5.92602088890819392149162970338932', '6.45486383530876632990023364781779', '7.949465060430367136751257620845913', '8.407778739743522637911712748765059', '9.588152845179069507941515845821936', '10.35531999633558213630115480526623'], 'prelabel': '2-544-1.1-c1-0', 'primitive': True, 'rational': True, 'root_analytic_conductor': 2.0841933379505977, 'root_angle': 0.5, 'root_number': '-1', 'self_dual': True, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 4}, 'spectral_label': 'c1-0', 'trace_hash': 1500292078865573517, 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '2.34190413882648615913196631793', 'prec': 100}, 'z2': {'__RealLiteral__': 0, 'data': '3.37777254090361242162912900058', 'prec': 100}, 'z3': {'__RealLiteral__': 0, 'data': '4.68811629121503471986666453564', 'prec': 100}}
