{'Lhash': '1432721495722430047218762740688', 'a10': [-3.3190778623577253, -5.748811491880681], 'a2': [-0.9396926207859084, 1.6275953626987474], 'a3': [-0.32635182233306964, -0.565257937423568], 'a4': [-0.766044443118978, -1.3268278963378768], 'a5': [-1.7660444431189781, 3.058878703906754], 'a6': [1.2266815969056775, 2.7023779555739693e-62], 'a7': [0.41874808778511735, 2.6124031157109555], 'a8': [-0.8793852415718167, 0.0], 'a9': [1.286988976119769, -2.2291302954204886], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 0.6148480955638592, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[7, [[1.0, 0], [-0.41874808778511735, -2.6124031157109555]]], [11, [[1.0, 0], [0.5, 0.8660254037844386]]]], 'bad_primes': [7, 11], 'central_character': '77.23', 'coefficient_field': 'CDF', 'conductor': 77, 'conductor_radical': 77, 'conjugate': '4289691133008511265587457743789', 'degree': 2, 'euler_factors': [[[1.0, 0], [0.9396926207859084, -1.6275953626987474], [-1.0, -1.7320508075688772]], [[1.0, 0], [0.32635182233306964, 0.565257937423568], [-1.5, 2.598076211353316]], [[1.0, 0], [1.7660444431189781, -3.058878703906754], [-2.5, -4.330127018922194]], [[1.0, 0], [-0.41874808778511735, -2.6124031157109555]], [[1.0, 0], [0.5, 0.8660254037844386]], [[1.0, 0], [-4.411474127809773, 0], [13.0, 0]], [[1.0, 0], [-2.6244851516900036, -4.545741626437199], [-8.5, 14.722431864335457]], [[1.0, 0], [0.9076037345479523, -1.5720157813763098], [-9.5, -16.454482671904334]], [[1.0, 0], [-3.166374217691586, 5.484321020817983], [-11.5, -19.91858428704209]], [[1.0, 0], [-1.921274307573399, 0], [29.0, 0]], [[1.0, 0], [0.733955556881022, 1.2712483150154392], [-15.5, 26.846787517317598]], [[1.0, 0], [2.2266815969056775, -3.856725658119236], [-18.5, -32.04293994002423]], [[1.0, 0], [-0.28311858285794855, 0], [41.0, 0]], [[1.0, 0], [3.4114741278097727, 0], [43.0, 0]], [[1.0, 0], [-2.277188796356143, 3.9442066937154574], [-23.5, -40.703193977868615]], [[1.0, 0], [-3.6172111917146594, -6.265193565756556], [-26.5, 45.89934640057525]], [[1.0, 0], [4.769914836380798, 8.261734844388132], [-29.5, 51.09549882328188]], [[1.0, 0], [-0.5739779522395382, 0.9941589757032225], [-30.5, -52.827549630850754]], [[1.0, 0], [-0.3472963553338607, -0.6015349327217412], [-33.5, 58.023702053557386]], [[1.0, 0], [-9.461103980334997, 0], [71.0, 0]], [[1.0, 0], [1.1736481776669303, 2.032818273929748], [-36.5, 63.21985447626402]], [[1.0, 0], [-6.209607457166707, 10.755355610871318], [-39.5, -68.41600689897065]], [[1.0, 0], [11.332748435383172, 0], [83.0, 0]], [[1.0, 0], [-1.7339555568810219, 3.0032991225843166], [-44.5, -77.07626093681505]], [[1.0, 0], [-15.34729635533386, 0], [97.0, 0]], [[1.0, 0], [3.351166748595681, 5.804391073203118], [-50.5, 87.4685657822283]], [[1.0, 0], [1.1244851516900038, -1.9476654150838826], [-51.5, -89.20061658979718]], [[1.0, 0], [-5.766044443118978, 9.987081934182264], [-53.5, -92.66471820493493]], [[1.0, 0], [-5.992726040024656, -10.379705977163745], [-54.5, 94.39676901250381]], [[1.0, 0], [-5.007740786523641, 0], [113.0, 0]]], 'gamma_factors': [[], [0]], 'group': 'GL2', 'id': 9593487, 'index': 0, 'label': '2-77-7.2-c1-0-0', '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/77/2/e/a/23/1', 'plot_delta': {'__RealLiteral__': 0, 'data': '0.125', 'prec': 17}, 'plot_values': [0.5925897907394545, 0.5357378164541651, 0.48467890139014197, 0.43578968931584633, 0.3854211491790619, 0.330116168697231, 0.26676474162049113, 0.19270759053191128, 0.10581369395135157, 0.004554402246886257, -0.11191353737296846, -0.24365411919520863, -0.3898530186535034, -0.5487236666173972, -0.7174314042107829, -0.892049869687216, -1.0675639142712687, -1.237932513328085, -1.396223275935083, -1.5348271627784305, -1.6457578324085749, -1.7210346600739357, -1.7531420316840507, -1.7355502567617545, -1.6632757543016023, -1.5334505629637134, -1.345864345952101, -1.1034366179262463, -0.8125736681280126, -0.483364315789153, -0.12957183670043695, 0.2316134092183289, 0.5800847513520604, 0.8936020803041053, 1.1488366006565496, 1.3226457613206157, 1.3935239535124722, 1.3431523515559036, 1.1579515346795128, 0.8305253924328195, 0.36087636874633355, -0.24272781552721973, -0.9633458212972001, -1.7755019666682408, -2.645931259224334, -3.5349479040179843, -4.3984074531021555, -5.190181279761827, -5.865010708584468, -6.381561567302179, -6.705463033266804, -6.8120920913683936, -6.688860647165084, -6.336779074176788, -5.771108770398747, -5.0209761915746745, -4.127898652548293, -3.14326260059787, -2.1248908047186834, -1.1329272930067518, -0.22534853264039814, 0.5465328874234779, 1.1421779133604164, 1.5351576107776033, 1.7153763469220373, 1.6899246192791346, 1.4824201529672203, 1.1308345982206598, 0.6839525357894678, 0.19675467889413067, -0.27485770918323066, -0.6794902452224802, -0.9752857358795912, -1.134022727838403, -1.1438212142819992, -1.0101235558646526, -0.7547930358836831, -0.41337551755875523, -0.0307800764556398, 0.344171787771437, 0.6647257854857582, 0.8920097484232288, 0.9999767105081504, 0.9788402621246503, 0.8365197001251409, 0.5978351549996628, 0.3014620781001911, -0.005060214314496251, -0.27170478698677136, -0.45294479139006594, -0.5144527397652132, -0.4385933237712244, -0.22789260786009388, 0.09411789781912516, 0.48497291031050227, 0.888179182104235, 1.2404849872472712, 1.4806879985248116, 1.5588856557785007, 1.4449286792977203, 1.134851366748103, 0.654232164461233, 0.057773328657303044, -0.575154197604812, -1.1487280734465848, -1.5618521466361333, -1.7210324311754321, -1.5533667304972252, -1.0179317593998805, -0.11394351421621497, 1.115614861432738, 2.5856862538482117, 4.17628389904011, 5.744498461520422, 7.140096081884629, 8.222883856678365, 8.879683565178777, 9.03869434666078, 8.679264745981827, 7.835617446111679, 6.59381830880378, 5.082161886386398, 3.45604113599863, 1.8791539926130965, 0.5034574374687283, -0.5494786572363134, -1.2031881956605708, -1.4350501976720906, -1.2777982445463354, -0.813532899065504, -0.1610280874514295, 0.5419094536436896, 1.1585340159338757, 1.5728294635980087, 1.705906125520331, 1.5267356760184303, 1.0556555709561792, 0.36014651265463277, -0.45644996987135505, -1.2715288410227057, -1.9625659392748547, -2.4262078592751064, -2.5941374074258596, -2.443245758519794, -1.9985417072024787, -1.3283883928460647, -0.5328950591777221, 0.2725951019331039, 0.9761757680745943, 1.4871056649055785, 1.7496522878205278, 1.7507665345951304, 1.5203557361488347, 1.1241966780325734, 0.6508105751960548, 0.19468597114107541, -0.16110785656227566, -0.35975011607640656, -0.38021601959843065, -0.23976236349908883, 0.011140547899113427, 0.30051373304722373, 0.5510193133390088, 0.6974609054524524, 0.7021897207482766, 0.5652582208248886, 0.32705872150698523, 0.06254644787445261, -0.13225968007681696, -0.15926836666876815, 0.06061936343153252, 0.5683905833739583, 1.3536330118119486, 2.350090916414193, 3.441580721323743, 4.477915949085773, 5.29858206289814, 5.760304968215385, 5.763687347223606, 5.273959246716856, 4.331672547295474, 3.0507664404346357, 1.6035899478583209, 0.19481796415832378, -0.9716845415075495, -1.7275112324560393, -1.9697901746283921, -1.6811356844388097, -0.9354929443496814, 0.11174936734695178, 1.2482521466639518, 2.240042254550168, 2.8717981294670114, 2.9851635436901396, 2.5082794275031732, 1.471089051872945, 0.003360276153993647, -1.684627310770331, -3.335696283281305, -4.688047643939271, -5.518926907641862, -5.682064507616723, -5.132309679133898, -3.9331201376973692, -2.245622822954138, -0.3012661874109556, 1.6369713267998078, 3.3178216861039633, 4.541690440456024, 5.190325456673226, 5.2411887987841554, 4.7644635355816884, 3.903914468663463, 2.845825145827699, 1.7823707149618828, 0.8766453863562544, 0.23598675556461168, -0.1016432412950673, -0.16625645471260342, -0.040582039971332286, 0.16505830896477913, 0.3418284579307167, 0.40885202995805203, 0.3312947290846017, 0.12627449854341258, -0.1443722311003793, -0.3924420555184556, -0.528276947721809, -0.4861773278670187, -0.24412164408048762, 0.16712222700302906, 0.6679831225091287, 1.1466161107797455, 1.4844362953849233, 1.5848712636821192, 1.3985701453174402, 0.9388622427025155, 0.2832688158548826, -0.44006870630963346, -1.0787295035976832, -1.4897355035439155, -1.5732864318374757, -1.298746674934856, -0.7164768309869625, 0.0480244119949323, 0.8173895221662412, 1.3988451995050422, 1.6264651009484783, 1.4001207459665035, 0.7122970079267895, -0.3438268638372979, -1.58782536968882, -2.7851973917899877, -3.694036831080958, -4.115732893807261, -3.9389148298997276, -3.1668436207505466], 'positive_zeros': ['1.13021797604519816026999231820507', '3.79479374736086033284608987478879', '5.07780975599190330713244507662327', '7.53400516902111194902452304017531', '8.675838249378897535507185681820066', '9.759952770622672609531283578258800', '10.87285674031996839612005480182521', '11.59186142428630266404540620970148', '12.76144062044346234471311586769912', '13.63801196192578073119382962542796'], 'prelabel': '2-77-7.2-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 0.7841225003555625, 'root_angle': -0.3687159358349428, 'root_number': '-0.6786435618665664 - 0.7344677773306736*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '-0.368715935835', 'prec': 50}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.13021797604519816026999231821', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '3.79479374736086033284608987479', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '5.07780975599190330713244507662', 'prec': 103}}
