{'Lhash': '1465106502047623932360089855151', 'a10': 0, 'a2': 0, 'a3': -3, 'a4': 0, 'a5': 5, 'a6': 0, 'a7': -8, 'a8': 0, 'a9': 9, 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 109.7435526106776, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.5', 'prec': 10}, 'bad_lfactors': [[2, [1]], [3, [1, 3]], [5, [1, -5]], [31, [1, -31]]], 'bad_primes': [2, 3, 5, 31], 'central_character': '1860.1', 'coefficient_field': '1.1.1.1', 'conductor': 1860, 'conductor_radical': 930, 'degree': 2, 'euler_factors': [[1], [1, 3], [1, -5], [1, 8, 343], [1, 20, 1331], [1, 34, 2197], [1, 6, 4913], [1, -12, 6859], [1, -120, 12167], [1, -246, 24389], [1, -31], [1, -310, 50653], [1, 518, 68921], [1, -92, 79507], [1, 88, 103823], [1, 738, 148877], [1, -268, 205379], [1, -366, 226981], [1, -220, 300763], [1, 512, 357911], [1, 758, 389017], [1, -160, 493039], [1, -1348, 571787], [1, -18, 704969], [1, -1634, 912673], [1, -382, 1030301], [1, 936, 1092727], [1, 84, 1225043], [1, 1226, 1295029], [1, -1090, 1442897]], 'euler_factors_factorization': [[1], [[[1, 3], 1]], [[[1, -5], 1]], [[[1, 8, 343], 1]], [[[1, 20, 1331], 1]], [[[1, 34, 2197], 1]], [[[1, 6, 4913], 1]], [[[1, -12, 6859], 1]], [[[1, -120, 12167], 1]], [[[1, -246, 24389], 1]], [[[1, -31], 1]], [[[1, -310, 50653], 1]], [[[1, 518, 68921], 1]], [[[1, -92, 79507], 1]], [[[1, 88, 103823], 1]], [[[1, 738, 148877], 1]], [[[1, -268, 205379], 1]], [[[1, -366, 226981], 1]], [[[1, -220, 300763], 1]], [[[1, 512, 357911], 1]], [[[1, 758, 389017], 1]], [[[1, -160, 493039], 1]], [[[1, -1348, 571787], 1]], [[[1, -18, 704969], 1]], [[[1, -1634, 912673], 1]], [[[1, -382, 1030301], 1]], [[[1, 936, 1092727], 1]], [[[1, 84, 1225043], 1]], [[[1, 1226, 1295029], 1]], [[[1, -1090, 1442897], 1]]], 'gamma_factors': [[], [0]], 'group': 'GL2', 'id': 20924375, 'index': 39, 'label': '2-1860-1.1-c3-0-39', 'load_key': 'CMFs-workshop', 'motivic_weight': 3, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [3], 'order_of_vanishing': 1, 'origin': 'ModularForm/GL2/Q/holomorphic/1860/4/a/a', 'plot_delta': {'__RealLiteral__': 0, 'data': '0.05078125', 'prec': 34}, 'plot_values': [-1.0944971206472574e-60, 0.19889584002258312, 0.3946193682344475, 0.584031659569044, 0.7640607305935605, 0.9317354047306718, 1.0842195792507532, 1.2188469122196353, 1.3331558551301508, 1.424924849459974, 1.4922073877579347, 1.5333665174446118, 1.5471082439976875, 1.5325131753481347, 1.4890656468046064, 1.4166794810269132, 1.315719475408092, 1.1870176740226968, 1.0318834766574574, 0.8521066661315222, 0.6499524989929772, 0.4281481046155596, 0.1898595735427518, -0.06134071361462073, -0.32151676267640444, -0.586421662155798, -0.8515600577714652, -1.1122598890723123, -1.3637525852105192, -1.6012606252585715, -1.8200910801380576, -2.0157334769011794, -2.183960070838353, -2.320926385877399, -2.4232696980813286, -2.488202999446855, -2.513601897682896, -2.4980818892619925, -2.441063493571439, -2.3428228596719856, -2.204525656406215, -2.028242331739496, -1.8169431763763813, -1.574472045612405, -1.3054980753483145, -1.0154452640607514, -0.7104003707777348, -0.3970001860383027, -0.08229985276390475, 0.22637547033915928, 0.5215927172646743, 0.7959833584469654, 1.0424222533257195, 1.2542085756469838, 1.4252441637024165, 1.5502044500109506, 1.6246970549360127, 1.6454031970718968, 1.6101972870094339, 1.5182404333140251, 1.3700440987584184, 1.167500794841752, 0.9138794823047866, 0.6137842387612447, 0.27307574106473753, -0.10124383535153973, -0.5011808039623855, -0.9179320438368149, -1.3420952931340249, -1.7639027743290956, -2.173472351032609, -2.561069633395989, -2.917373830706225, -3.23373972468793, -3.5024479293854642, -3.716935631636423, -3.8720002816327472, -3.963969229865769, -3.9908290806422064, -3.9523095405724913, -3.8499177615915046, -3.686920582413848, -3.468273622251559, -3.200497831549304, -2.891505806013588, -2.550381867534073, -2.1871215512172384, -1.8123376533506306, -1.4369413335619587, -1.0718078718972148, -0.7274375095757711, -0.413622309766641, -0.13913013013558112, 0.08858341867225922, 0.2636247535857475, 0.3818645397207334, 0.44108438669943484, 0.4410617174343045, 0.3835884483889546, 0.2724212861209163, 0.11316376588663238, -0.08691744285789796, -0.31913704552279926, -0.5736892260693826, -0.8399900036458043, -1.107052643052138, -1.363883405191208, -1.5998838207602475, -1.8052450360279393, -1.9713196551419765, -2.0909569131149555, -2.1587879623846145, -2.1714495283729507, -2.1277361499769056, -2.0286736135324905, -1.8775089388119237, -1.6796152915949745, -1.4423133739218261, -1.1746140644701906, -0.8868902254273318, -0.5904885347251397, -0.2972948225005907, -0.01926857491035724, 0.2320360836016916, 0.4459445902070853, 0.6131126399925861, 0.7259350659997403, 0.778895693524506, 0.768842774380544, 0.6951770869139835, 0.5599428571136745, 0.3678152133424828, 0.12598180682476906, -0.1560796323324518, -0.4669218366101458, -0.793536582966013, -1.1218374434024438, -1.4371994564343893, -1.7250356854124718, -1.9713885655986128, -2.16351270758661, -2.290425497388782, -2.343402455957431, -2.3163958981147648, -2.206357928625539, -2.0134521580173423, -1.7411426016934475, -1.3961528975575523, -0.9882940650278779, -0.5301643341047276, -0.0367298836417857, 0.475199577370037, 0.987581791399556, 1.4818168840069752, 1.9394604421498407, 2.3429467310034986, 2.676292942665156, 2.9257554553226863, 3.0804103797245888, 3.1326331596298385, 3.0784556013610525, 2.9177833116250556, 2.654461953114234, 2.296186774382759, 1.8542562918958612, 1.3431775327888766, 0.7801366094523039, 0.18435431394930463, -0.42364837433021896, -1.0228457224126146, -1.5925313817130657, -2.11313722278802, -2.5670125181985606, -2.9391302600871727, -3.217689994337931, -3.394590526986632, -3.4657510662736244, -3.4312656024004498, -3.295382342811525, -3.066307519013229, -2.7558405382958098, -2.3788549322202988, -1.9526465155393065, -1.4961762920408614, -1.0292406359576514, -0.5716048921026091, -0.14213858495497708, 0.2420092160031046, 0.5661572082445525, 0.8187277670460242, 0.991742062211116, 1.081151084519791, 1.08698653906201, 1.0133236583499572, 0.8680565665517005, 0.6624954976753382, 0.41080353300323935, 0.129298180716507, -0.16435029731187803, -0.451986727773203, -0.7158644458631583, -0.9395220594332696, -1.1086016568589698, -1.2115688840196275, -1.2402995577202747, -1.1905034708732223, -1.061963521784967, -0.8585769323717989, -0.5881947123103448, -0.2622652378947702, 0.10470261840690666, 0.4958324151289636, 0.8926968326300575, 1.276219392550516, 1.6276178266049461, 1.9293431263139247, 2.1659679330465855, 2.3249798281512755, 2.397439200855663, 2.3784675413345897, 2.2675399574990944, 2.068565082792879, 1.7897458873678678, 1.443225728216077, 1.044534743601009, 0.611861874467109, 0.16518686085247333, -0.2746859589338291, -0.6871447273742154, -1.0527875136890243, -1.3543889220725809, -1.5777665412056134, -1.7125023230936405, -1.7524807333804293, -1.6962143113717425, -1.5469377033268774, -1.3124627834833975, -1.0047995830976657, -0.63955979865303, -0.235171027747777, 0.18806001063553934, 0.6089887173977322, 1.0067257340657676, 1.3617259525373422, 1.6568168559376364, 1.8781119848697978, 2.0157605238713203, 2.0644918313820924, 2.023923831855047, 1.898616064886331, 1.6978612555368071, 1.4352228711711836, 1.127839561749734, 0.7955299368711528, 0.4597421409089522, 0.14240154285015136, -0.13528394275996009], 'positive_zeros': ['1.15576524145047880151924702834239', '2.45089327650254931770986989089881', '3.28742937552686409862019983165637', '4.70154192755217439390450092361792', '5.10796763704213823547994109446524', '6.19899721891415180092922270876950', '6.72658903580713775022663854162797', '7.62087170026264427934048737349183', '8.495893720630614149658607882914452'], 'prelabel': '2-1860-1.1-c3-0', 'primitive': True, 'rational': True, 'root_analytic_conductor': 10.475855698255756, 'root_angle': 0.5, 'root_number': '-1', 'self_dual': True, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'spectral_label': 'c3-0', 'trace_hash': 734651458343690508, 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.15576524145047880151924702834', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '2.45089327650254931770986989090', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.28742937552686409862019983166', 'prec': 103}}