{'Lhash': '2660280150672290708557521665695', 'a10': 3, 'a2': 1, 'a3': 0, 'a4': 1, 'a5': 3, 'a6': 0, 'a7': -1, 'a8': 1, 'a9': 0, 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 1.868499407297962, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [1, -1]], [3, [1]], [13, [1, -1]]], 'bad_primes': [2, 3, 13], 'central_character': '234.1', 'coefficient_field': '1.1.1.1', 'conductor': 234, 'conductor_radical': 78, 'degree': 2, 'euler_factors': [[1, -1], [1], [1, -3, 5], [1, 1, 7], [1, 6, 11], [1, -1], [1, -3, 17], [1, -2, 19], [1, 0, 23], [1, 6, 29], [1, 4, 31], [1, 7, 37], [1, 0, 41], [1, 1, 43], [1, 3, 47], [1, 0, 53], [1, -6, 59], [1, -8, 61], [1, -14, 67], [1, -3, 71], [1, -2, 73], [1, -8, 79], [1, 12, 83], [1, -6, 89], [1, 10, 97], [1, -12, 101], [1, 4, 103], [1, 12, 107], [1, 7, 109], [1, -6, 113]], 'euler_factors_factorization': [[[[1, -1], 1]], [1], [[[1, -3, 5], 1]], [[[1, 1, 7], 1]], [[[1, 6, 11], 1]], [[[1, -1], 1]], [[[1, -3, 17], 1]], [[[1, -2, 19], 1]], [[[1, 0, 23], 1]], [[[1, 6, 29], 1]], [[[1, 4, 31], 1]], [[[1, 7, 37], 1]], [[[1, 0, 41], 1]], [[[1, 1, 43], 1]], [[[1, 3, 47], 1]], [[[1, 0, 53], 1]], [[[1, -6, 59], 1]], [[[1, -8, 61], 1]], [[[1, -14, 67], 1]], [[[1, -3, 71], 1]], [[[1, -2, 73], 1]], [[[1, -8, 79], 1]], [[[1, 12, 83], 1]], [[[1, -6, 89], 1]], [[[1, 10, 97], 1]], [[[1, -12, 101], 1]], [[[1, 4, 103], 1]], [[[1, 12, 107], 1]], [[[1, 7, 109], 1]], [[[1, -6, 113], 1]]], 'gamma_factors': [[], [0]], 'group': 'GL2', 'id': 9711846, 'index': 3, 'label': '2-234-1.1-c1-0-3', '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': 0, 'origin': 'ModularForm/GL2/Q/holomorphic/234/2/a/e', 'plot_delta': {'__RealLiteral__': 0, 'data': '0.125', 'prec': 17}, 'plot_values': [2.0087998967623544, 2.016702714162165, 2.038866500217953, 2.070881984326773, 2.1060644653056917, 2.1362169100502424, 2.152395837518801, 2.1456004854585156, 2.107386892193311, 2.030441728965665, 1.9091441562486864, 1.7401195546835666, 1.522762723267563, 1.2596874133118294, 0.9570461366415115, 0.6246594295406089, 0.2758971744020527, -0.07273385627282136, -0.40232260728123737, -0.6926062556120696, -0.9233101044828352, -1.0757067485765224, -1.134290777886799, -1.0884335912032161, -0.9338595112673655, -0.6737736919342627, -0.31947806408501994, 0.10966361928704066, 0.5870058742807869, 1.0801777692821044, 1.5533687537919962, 1.9702116710153783, 2.2970456086620126, 2.506267288928711, 2.5794275960316644, 2.5097096232156018, 2.3034440808740695, 1.980381148936728, 1.5725440888750328, 1.1216326946300506, 0.6751116954144514, 0.28129310176965394, -0.016118908216301325, -0.18342920057661036, -0.2016428916299267, -0.06980040273247277, 0.19359597024488778, 0.5514394477724749, 0.9512878813699865, 1.330877393817729, 1.6254045319589017, 1.7758181683916503, 1.7371474161385725, 1.485782450107428, 1.0246493334730444, 0.3853904722683188, -0.3730272071273999, -1.1694309456685223, -1.9089526942498733, -2.4941023054360025, -2.837144981191088, -2.8722285953524063, -2.5656001739925487, -1.9223690104006752, -0.9886221569341347, 0.15175160853904096, 1.3854818167534164, 2.5827886970682847, 3.613224606843942, 4.362469434447775, 4.747786494298274, 4.729883734978288, 4.319300568951641, 3.576123465443807, 2.6027434143498387, 1.5303829408348377, 0.5010904039420944, -0.3523292905169585, -0.9255403913867218, -1.1581382914958938, -1.0428700107047408, -0.6269916950076164, -0.005300270157050959, 0.6943316951325106, 1.3308660873537932, 1.7724531987275396, 1.9177244778813431, 1.7125682012606473, 1.159555267451345, 0.3183035853455055, -0.7034765929962163, -1.7669600029820995, -2.7245185991648415, -3.443700934927688, -3.8288318345989847, -3.836500094519692, -3.4821838549211783, -2.8367647098064688, -2.0134532949856117, -1.1473802425578992, -0.371478714573945, 0.20696879823869335, 0.5247890291940429, 0.5729049532398238, 0.39590910393242706, 0.0812311911756292, -0.26008419899653756, -0.5172943035375936, -0.6038620299110183, -0.47652128694598034, -0.14551319843326124, 0.32633464233959936, 0.8358200193515101, 1.260696191918787, 1.4859882917866118, 1.4299668084586383, 1.0642936665000042, 0.42382489044649846, -0.39649817854585395, -1.2576631119747557, -2.0028013441428607, -2.4886296690201934, -2.615798435457839, -2.3517333955060327, -1.7408022996788135, -0.8990282370684207, 0.006332180221942169, 0.7888401672377398, 1.280437247003141, 1.3669429954506078, 1.0139772160582454, 0.277447206324527, -0.7042907514117437, -1.735764703440149, -2.6026620680754147, -3.1155623962365087, -3.150166034374409, -2.675415711256719, -1.7631117409184605, -0.5762822603469749, 0.6620318307992985, 1.7136933661807456, 2.375067799064707, 2.5209588107741894, 2.1333753364894954, 1.3085349528425299, 0.23993743540275997, -0.8196141417189778, -1.6095816912588892, -1.9162706949837254, -1.6189190537418083, -0.7173379541241238, 0.665115189769986, 2.3042764526033843, 3.9191608219350207, 5.2280844266879365, 6.005087105717849, 6.124648773482038, 5.585165098441036, 4.506253791785899, 3.1007008226124584, 1.6274478919261295, 0.3362000761507374, -0.5839704124978258, -1.0406652643581795, -1.051105911622086, -0.7296447794177459, -0.2534353837657101, 0.1850716988595406, 0.42713174706761164, 0.3863190998238798, 0.06751231146315977, -0.4380945315555383, -0.980339456251967, -1.3926074588885793, -1.5385074004518942, -1.3506222130519223, -0.8511953153185289, -0.1491567493267541, 0.586081401959671, 1.1676192289611744, 1.4399434582622985, 1.321019896675061, 0.8264133396394121, 0.06863960466058487, -0.7687845609874713, -1.4765660959231048, -1.8729309529123486, -1.851373533409627, -1.4102987233743547, -0.6563459497276257, 0.22020093031195698, 0.9922893184187136, 1.4536602867424935, 1.4723814024154498, 1.0262747128919392, 0.21051663008007626, -0.7852724812329451, -1.7251639075999694, -2.3881703770021447, -2.626654386203908, -2.4061954799360703, -1.8156510414608267, -1.043733476687253, -0.3272730756795346, 0.11585979073623165, 0.1515483420154317, -0.22582714365335432, -0.881879120966195, -1.5688394096197975, -1.98529521735142, -1.85498352431567, -1.0048919319849534, 0.5778363173336729, 2.7261133000243247, 5.117246588801261, 7.337368582045036, 8.971527347851227, 9.698013219981766, 9.363800792114223, 8.02217142596351, 5.922697939510756, 3.455558563625271, 1.0635931682702644, -0.856353708077069, -2.038593914835977, -2.3995980917989246, -2.0430481790764268, -1.219041526310873, -0.24933688573781396, 0.5609008394917914, 1.0013280531520454, 1.0043196462730228, 0.6508642262062475, 0.13445762134167386, -0.30548859941430034, -0.4610035295200679, -0.22131608611252368, 0.39171626591803277, 1.2283778961797924, 2.0543358264041323, 2.6195696724517403, 2.7328357745061145, 2.3199195019025285, 1.4485886019916951, 0.3127537007107842, -0.8198686826436717, -1.6816989189779425, -2.0796185071136835, -1.948245160610126, -1.366750313836366, -0.5343525967406525, 0.28836096396841404, 0.8551462764042403, 1.004697014102564, 0.7054602277640805, 0.061610225231477384], 'positive_zeros': ['2.09859100780083292577684604842687', '3.34467457020301574582723277384387', '5.24164848449732929783448594192785', '5.66417880764699758598698858020236', '6.94019412385488865960361148937457', '8.109212031498814193717580943346260', '9.569105792671075621984918394602509', '10.25096846899164676242515061974858', '11.16559240112924374874969825278831', '12.57399662018781984180868180362934'], 'prelabel': '2-234-1.1-c1-0', 'primitive': True, 'rational': True, 'root_analytic_conductor': 1.3669306519710362, 'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, 'spectral_label': 'c1-0', 'trace_hash': 491529009960233657, 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '2.09859100780083292577684604843', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '3.34467457020301574582723277384', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '5.24164848449732929783448594193', 'prec': 103}}
