{'Lhash': '1551514647741490110281411854352', 'a10': [0.0, 0.0], 'a2': [-0.19393656647463045, 0.0], 'a3': [1.0, 0.0], 'a4': [-1.9623886081840312, 0.0], 'a5': [0.0, 0.0], 'a6': [-0.19393656647463045, 0.0], 'a7': [1.0, 0.0], 'a8': [0.7684520417094008, 0.0], 'a9': [1.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 4.192146106117222, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [-1.0, 0]]], [5, [[1.0, 0], [0, 0]]], [7, [[1.0, 0], [-1.0, 0]]]], 'bad_primes': [3, 5, 7], 'central_character': '525.1', 'coefficient_field': 'CDF', 'conductor': 525, 'conductor_radical': 105, 'conjugate': '1551514647741490110281411854352', 'degree': 2, 'euler_factors': [[[1.0, 0], [0.19393656647463045, 0], [2.0, 0]], [[1.0, 0], [-1.0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [-1.0, 0]], [[1.0, 0], [-2.0, 0], [11.0, 0]], [[1.0, 0], [1.3502617411332922, 0], [13.0, 0]], [[1.0, 0], [-3.3502617411332922, 0], [17.0, 0]], [[1.0, 0], [-5.350261741133292, 0], [19.0, 0]], [[1.0, 0], [4.962388608184031, 0], [23.0, 0]], [[1.0, 0], [-7.924777216368063, 0], [29.0, 0]], [[1.0, 0], [-4.5745154752347705, 0], [31.0, 0]], [[1.0, 0], [-0.7757462658985218, 0], [37.0, 0]], [[1.0, 0], [-3.738134874082553, 0], [41.0, 0]], [[1.0, 0], [-12.625300698634646, 0], [43.0, 0]], [[1.0, 0], [9.924777216368062, 0], [47.0, 0]], [[1.0, 0], [8.57451547523477, 0], [53.0, 0]], [[1.0, 0], [8.625300698634646, 0], [59.0, 0]], [[1.0, 0], [8.700523482266584, 0], [61.0, 0]], [[1.0, 0], [9.924777216368062, 0], [67.0, 0]], [[1.0, 0], [-2.0, 0], [71.0, 0]], [[1.0, 0], [-9.350261741133291, 0], [73.0, 0]], [[1.0, 0], [-10.700523482266584, 0], [79.0, 0]], [[1.0, 0], [3.2242537341014783, 0], [83.0, 0]], [[1.0, 0], [-1.0376113918159688, 0], [89.0, 0]], [[1.0, 0], [-18.499292691602832, 0], [97.0, 0]], [[1.0, 0], [17.662912090450614, 0], [101.0, 0]], [[1.0, 0], [6.7005234822665845, 0], [103.0, 0]], [[1.0, 0], [13.738134874082553, 0], [107.0, 0]], [[1.0, 0], [2.7757462658985217, 0], [109.0, 0]], [[1.0, 0], [12.050785223399876, 0], [113.0, 0]]], 'gamma_factors': [[], [0]], 'group': 'GL2', 'id': 11001213, 'index': 6, 'label': '2-525-1.1-c1-0-6', '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/525/2/a/j/1/2', 'plot_delta': {'__RealLiteral__': 0, 'data': '0.125', 'prec': 17}, 'plot_values': [1.4545834862902047, 1.4481720324101204, 1.4270220835236707, 1.385761340687361, 1.3165695666877966, 1.2105560377526081, 1.0592420112227232, 0.8559786405181729, 0.5972179057116191, 0.28358826508162943, -0.07928227989107911, -0.48027669661328054, -0.9027298507894461, -1.3248931276677816, -1.720989306413327, -2.0628752843705924, -2.3222630213932427, -2.4733702283948618, -2.495790974790498, -2.377303689827833, -2.11628226342068, -1.723357115956787, -1.2219971447099767, -0.6477563005712006, -0.04605031924010188, 0.5315072073393182, 1.0319893781167202, 1.4068448365562725, 1.6177999499466833, 1.6422594432732653, 1.4774447524233347, 1.1425622095740815, 0.6784543318413115, 0.14445182271053025, -0.3875104046824016, -0.8410609345193792, -1.1450101495578218, -1.2432717257537138, -1.1037499701579652, -0.7248373609599946, -0.1383476102371166, 0.5919100632352873, 1.3761616437622761, 2.108897483432735, 2.6822250198694957, 3.000689845121773, 2.995520961680013, 2.6361437713463545, 1.9370191940334864, 0.9584116084679315, -0.19949056300486753, -1.4086853545125273, -2.5302655776471545, -3.433817641816727, -4.016433677592075, -4.218319843807202, -4.032337559255463, -3.5056455422693573, -2.732816284047997, -1.8412014417432365, -0.970685067543867, -0.25104524484688046, 0.21927337781308348, 0.38923562709644666, 0.26314287841960615, -0.10124948928250896, -0.6043605582723162, -1.124279869117761, -1.54068612160907, -1.7587433515701483, -1.7283278243994975, -1.4546306622230332, -0.9976916143792163, -0.4605050477164234, 0.03237710166344326, 0.3617850141284043, 0.44109480064434803, 0.23794106462745554, -0.21441034101860795, -0.8190703393908009, -1.4313572879235081, -1.8860301792410612, -2.0309592367105034, -1.7605959348539963, -1.0422152626368535, 0.07103372189571565, 1.443845384759879, 2.8795269308524114, 4.154548269787376, 5.0605243017953265, 5.445371311307996, 5.245114994105574, 4.49936273158695, 3.3465580231359917, 1.9992246798837485, 0.7036465124447241, -0.3081014263005869, -0.8639486893193099, -0.8857834365643273, -0.40416532669732735, 0.44962679543925155, 1.4727718365203848, 2.435169528395118, 3.1291874358160205, 3.413893620649476, 3.2438428304255305, 2.6758542811765724, 1.852192038483771, 0.9640285171814128, 0.20376864051848428, -0.2824015339686904, -0.4302317700830529, -0.2725003388103238, 0.07055688659812911, 0.42353802259796486, 0.6032508209315434, 0.4695394933322051, -0.033318041333907596, -0.8556061646636078, -1.8477929810656712, -2.7925296196080334, -3.456101208507024, -3.6471922900455542, -3.268456853446788, -2.347564912306172, -1.0389837284077275, 0.40527476933187706, 1.6900132274745494, 2.543887856836226, 2.783088692216519, 2.35592340340363, 1.3568449176678365, 0.005767641809620156, -1.4029141093702922, -2.5695090614496863, -3.2595158393988197, -3.357913321970444, -2.8936178308483003, -2.0279141243528906, -1.0098412133143377, -0.1100613929264571, 0.44959607129131357, 0.5525015258927416, 0.2147176766296978, -0.42355160144467696, -1.1400930696021834, -1.6948387841214498, -1.8984073308528175, -1.6660507089977226, -1.041880936669365, -0.18635278469595265, 0.6698220316387683, 1.2926483300347569, 1.513888487012591, 1.2823838830964138, 0.6824804216984863, -0.08658334480571586, -0.7654460938345016, -1.1087404109774923, -0.957763054205332, -0.29069914317613427, 0.7647949830238414, 1.9615066541835713, 2.997886309930551, 3.6010245854690255, 3.6042122978943043, 2.996774058127215, 1.9311765744572593, 0.6842558385403122, -0.4175016174273781, -1.088099926741248, -1.1621299831517908, -0.6416501946999393, 0.3042429243690388, 1.387850935410535, 2.286083898037512, 2.7348106902265426, 2.606980587353756, 1.9513497830146074, 0.9797521609890852, 0.005763176862920046, -0.6479895450422124, -0.7469902578166867, -0.21771911724289444, 0.8258831465499337, 2.1111708256319144, 3.2833276996336487, 4.007874431443452, 4.069191228848984, 3.4357330921700737, 2.2720297494109825, 0.8931074067656766, -0.3259105410417589, -1.0586981282180883, -1.122929311024617, -0.5333455627939077, 0.5033863648190389, 1.650736167063248, 2.5428497996009494, 2.8934189515432767, 2.580108917249961, 1.679134754363915, 0.4397544508867619, -0.793167792639844, -1.684448598733771, -2.0091393365795494, -1.7173835408725, -0.9439137555989695, 0.039995057293169906, 0.9161246790669938, 1.4213766570518427, 1.4294020004922234, 0.9856680109706292, 0.2850767511961624, -0.3998955511146456, -0.8162090298888778, -0.8196132690061229, -0.4258386814730953, 0.19437837540709157, 0.7756971772730056, 1.0543707605184307, 0.8678614508157928, 0.22329694630270222, -0.6904296216299907, -1.5539412997465278, -2.0178905873454047, -1.8213300582033205, -0.8891517491135794, 0.6250067947750408, 2.3674957512417785, 3.8793920780810125, 4.729907018462032, 4.647607905758865, 3.60793270989871, 1.8482264637711807, -0.19612028379458085, -2.0159538259772134, -3.1751820681294505, -3.4347582815158577, -2.8154465471305596, -1.5804038895464834, -0.14422144030676132, 1.0614567386556508, 1.7219826197594044, 1.7303908179432228, 1.206560940697441, 0.4407709566673923, -0.2172045444208232, -0.4843781497696716, -0.24259300308766354, 0.4249350482484909, 1.2701036288291512, 1.9753218288102639, 2.273015802649245, 2.0459347146791296, 1.3716997403313023, 0.4948247395461813], 'positive_zeros': ['1.22392924948101114786523316269462', '3.00963324380550823526572834361879', '4.15816000723335585044553795504839', '5.02522262844140395814578506502463', '6.22924475067329073486711598694339', '7.68234739127162575410322514300493', '8.095944194541780680855303610191090', '9.240701171692835591998690599415224', '9.697774530240902187425587204844836', '10.61797598792780120314623660474244'], 'prelabel': '2-525-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.0474731026602577, 'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.22392924948101114786523316269', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '3.00963324380550823526572834362', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '4.15816000723335585044553795505', 'prec': 103}}