{'Lhash': '1870725413424978731787980445716', 'a10': -1, 'a2': 1, 'a3': -1, 'a4': 1, 'a5': -1, 'a6': -1, 'a7': 0, 'a8': 1, 'a9': 1, 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 40.484153824789175, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [1, -1]], [3, [1, 1]], [5, [1, 1]], [13, [1]]], 'bad_primes': [2, 3, 5, 13], 'central_character': '5070.1', 'coefficient_field': '1.1.1.1', 'conductor': 5070, 'conductor_radical': 390, 'degree': 2, 'euler_factors': [[1, -1], [1, 1], [1, 1], [1, 0, 7], [1, -4, 11], [1], [1, 4, 17], [1, 4, 19], [1, 6, 23], [1, -4, 29], [1, 10, 31], [1, 4, 37], [1, -2, 41], [1, -12, 43], [1, 0, 47], [1, 2, 53], [1, -4, 59], [1, 10, 61], [1, -10, 67], [1, 12, 71], [1, -6, 73], [1, 8, 79], [1, 0, 83], [1, 10, 89], [1, -14, 97], [1, 8, 101], [1, 4, 103], [1, 0, 107], [1, 6, 109], [1, -12, 113]], 'euler_factors_factorization': [[[[1, -1], 1]], [[[1, 1], 1]], [[[1, 1], 1]], [[[1, 0, 7], 1]], [[[1, -4, 11], 1]], [1], [[[1, 4, 17], 1]], [[[1, 4, 19], 1]], [[[1, 6, 23], 1]], [[[1, -4, 29], 1]], [[[1, 10, 31], 1]], [[[1, 4, 37], 1]], [[[1, -2, 41], 1]], [[[1, -12, 43], 1]], [[[1, 0, 47], 1]], [[[1, 2, 53], 1]], [[[1, -4, 59], 1]], [[[1, 10, 61], 1]], [[[1, -10, 67], 1]], [[[1, 12, 71], 1]], [[[1, -6, 73], 1]], [[[1, 8, 79], 1]], [[[1, 0, 83], 1]], [[[1, 10, 89], 1]], [[[1, -14, 97], 1]], [[[1, 8, 101], 1]], [[[1, 4, 103], 1]], [[[1, 0, 107], 1]], [[[1, 6, 109], 1]], [[[1, -12, 113], 1]]], 'gamma_factors': [[], [0]], 'group': 'GL2', 'id': 21194188, 'index': 86, 'label': '2-5070-1.1-c1-0-86', 'load_key': 'CMFs-workshop', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [1], 'order_of_vanishing': 1, 'origin': 'ModularForm/GL2/Q/holomorphic/5070/2/a/m', 'plot_delta': {'__RealLiteral__': 0, 'data': '0.046875', 'prec': 27}, 'plot_values': [-1.5733775932014156e-60, 0.21904964405876756, 0.43723966429459776, 0.6536662920621472, 0.8673402891811893, 1.077151065949279, 1.2818384954492323, 1.479974183224297, 1.6699533879488406, 1.8499982124163203, 2.0181721416394653, 2.1724055279264376, 2.3105312272041676, 2.4303292784158, 2.529579280531667, 2.6061189464517267, 2.6579071856586216, 2.683089975586473, 2.680067216471735, 2.647558721114878, 2.5846674683796906, 2.49093824922003, 2.36640986038937, 2.211659058644074, 2.027834582274689, 1.8166796817428483, 1.5805417805304371, 1.3223681129862934, 1.0456864581575478, 0.7545704055224602, 0.45358894635161967, 0.14774057721457518, -0.15762747795624452, -0.45691388353593015, -0.7443701585187525, -1.0142180695487666, -1.260775110105406, -1.478585343051336, -1.6625525503095715, -1.8080723628316586, -1.911159849461479, -1.9685689366539512, -1.977900022279772, -1.937692243595327, -1.8474970667478046, -1.7079301846074588, -1.520699139473079, -1.2886046217843052, -1.0155140260943014, -0.7063065581256672, -0.366789965040108, -0.0035897850497511037, 0.375987140771213, 0.7641123074519257, 1.1526149342032372, 1.5331769426390307, 1.8975386939821237, 2.2377100938247874, 2.5461812494875744, 2.81612660010752, 3.041596351240613, 3.217689147136169, 3.3407002125083793, 3.408239692961358, 3.4193166139265143, 3.374384749848026, 3.275347729288299, 3.1255218718225484, 2.929556527062082, 2.6933130274612784, 2.423704732851339, 2.12850199081127, 1.8161071161371323, 1.4953056576808585, 1.175001226030676, 0.8639419584153696, 0.5704472602634356, 0.30214375502120566, 0.06571937217491047, -0.1332958056762809, -0.29071393562395437, -0.4038319686893973, -0.47152649334904756, -0.49429645568105796, -0.4742510149216836, -0.4150416256430911, -0.3217393717656544, -0.20066054721155893, -0.0591454127550176, 0.09470311392691588, 0.25231242967589673, 0.40495507265330327, 0.5440745074729064, 0.661610243856345, 0.7503103414566719, 0.8040194646455334, 0.8179312090844965, 0.7887944234236887, 0.7150646738939677, 0.5969938090460077, 0.43665272203001854, 0.23788480897436065, 0.006190201395593238, -0.2514564851822133, -0.5268494957512971, -0.8108484544301423, -1.093717833679357, -1.3654971695947178, -1.616388251726961, -1.837144440752934, -2.0194467454606633, -2.1562513635496154, -2.2420940780261436, -2.2733381977569516, -2.2483546073508656, -2.16762489346833, -2.033761363736145, -1.851440971018926, -1.6272535819194367, -1.3694685518963567, -1.0877270488231485, -0.792670856851765, -0.49552134984004464, -0.20762481324658874, 0.060017805656771554, 0.29721742826516373, 0.4950399196608664, 0.6462063398007158, 0.7454321977696282, 0.7896895389217627, 0.7783784504828374, 0.7133979908468324, 0.5991105107277737, 0.44219769201214687, 0.2514112114339168, 0.037225553657491695, -0.18859504424479986, -0.41349943459521926, -0.6247025508712933, -0.8097660785145809, -0.9571823673994576, -1.0569361671154944, -1.1010188485419836, -1.0838709569692715, -1.002731212551978, -0.8578733747318886, -0.6527166129452674, -0.39380002663306557, -0.09061754403599771, 0.24468462049055525, 0.5977397030550962, 0.9525071481822572, 1.2919146975269196, 1.5985712633088087, 1.85552208378111, 2.0470148054316364, 2.159243552161759, 2.181037839613289, 2.1044644305064826, 1.9253129002385256, 1.6434397234678297, 1.2629509715450407, 0.7922100377345987, 0.2436639395422219, -0.3665106015339949, -1.0189322522827233, -1.691694571105851, -2.361175934906374, -3.0029494935144463, -3.592757473662555, -4.107510267607654, -4.526268464602446, -4.831165466564755, -5.008229648704458, -5.048068178151882, -4.9463795034096405, -4.704268008628517, -4.328342147480607, -3.830586222866975, -3.2280054968130183, -2.542054095354331, -1.7978647885693222, -1.0233087443845357, -0.24792135974290636, 0.4982631178611221, 1.1859205806897088, 1.7876391645889629, 2.279063228149659, 2.639929472750086, 2.854949199540564, 2.9144965383581014, 2.8150702138882036, 2.5595057279859827, 2.1569253466765796, 1.6224245356007856, 0.9765049944232568, 0.2442756829895129, -0.5455463045676043, -1.3617939657956235, -2.1721191757047777, -2.9443180806507763, -3.64765609403757, -4.254134965706322, -4.739646468973822, -5.084961856847994, -5.2765132042339475, -5.306931785101866, -5.1753193403636555, -4.8872399967400595, -4.45443315893594, -3.8942603380009864, -3.2289110071698133, -2.4844036185105054, -1.6894273394046664, -0.8740774177730042, -0.06854199334841535, 0.6981996136490077, 1.3996077114078347, 2.0126861359833, 2.5189093191418355, 2.904931078230778, 3.163044153505244, 3.29137148982766, 3.2937831564503406, 3.1795459956781276, 2.962725943327108, 2.6613748374247126, 2.2965438363226203, 1.8911737865691844, 1.4689185980199495, 1.05296060461902, 0.6648768584958459, 0.32361231488619535, 0.044610058231131365, -0.16085961777237334, -0.28613991368654024, -0.3293786831652059, -0.2934637232773377, -0.18570917917226157, -0.01731296678758204, 0.1973830203748177, 0.44178797270097186, 0.6980625839317851, 0.9481696009437707, 1.1749168933287535, 1.3629361209007536, 1.4995438124628406, 1.575438263995347, 1.5851947781352105, 1.5275329213851119, 1.4053420797030787, 1.2254649730166698, 0.9982522233747564, 0.7369138293707859, 0.4567047808427818, 0.1739914208438482, -0.09474800181364121], 'positive_zeros': ['1.47574214305438027301467539463641', '2.39107645053797039693464571702849', '3.67073593988599946136413200386785', '4.14332597475558007058504278259569', '4.78242823547330893025968019483729', '5.80157446091064440946839447805032', '6.33595104718497942044298295963712', '6.95053828073891001384807284791010', '7.65983681102560675700445480666662'], 'prelabel': '2-5070-1.1-c1-0', 'primitive': True, 'rational': True, 'root_analytic_conductor': 6.3627159157697095, 'root_angle': 0.5, 'root_number': '-1', 'self_dual': True, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'spectral_label': 'c1-0', 'trace_hash': 1715504405491202163, 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.47574214305438027301467539464', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '2.39107645053797039693464571703', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.67073593988599946136413200387', 'prec': 103}}
