{'Lhash': '2237879297918723341714171959941', 'a10': [-11.040153008231837, -7.521757336465551], 'a2': [-2.580752892324222, -0.6915106533625596], 'a3': [1.7057057587072815, -2.467907588365662], 'a4': [2.71799689238817, 1.5692362374768762], 'a5': [4.719956861371589, 1.6498506680276421], 'a6': [-6.108589459107056, 5.189545943015625], 'a7': [6.618312024654267, 2.279900424210835], 'a8': [1.6276341903454727, 1.6276341903454727], 'a9': [-3.181135729425634, -8.419048370865417], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 2.8610427757831176, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [-1.7057057587072815, 2.467907588365662]]], [5, [[1.0, 0], [-4.719956861371589, -1.6498506680276421]]], [7, [[1.0, 0], [-6.618312024654267, -2.279900424210835]]]], 'bad_primes': [3, 5, 7], 'central_character': '105.17', 'coefficient_field': 'CDF', 'conductor': 105, 'conductor_radical': 105, 'conjugate': '1768357386057805140079304886518', 'degree': 2, 'euler_factors': [[[1.0, 0], [2.580752892324222, 0.6915106533625596], [3.4641016151377544, 2.0]], [[1.0, 0], [-1.7057057587072815, 2.467907588365662]], [[1.0, 0], [-4.719956861371589, -1.6498506680276421]], [[1.0, 0], [-6.618312024654267, -2.279900424210835]], [[1.0, 0], [-1.4380457597538128, -0.8302561065008637], [60.5, 104.78907385791707]], [[1.0, 0], [3.8793463183313532, 3.8793463183313532], [0, 169.0]], [[1.0, 0], [-22.46988399703885, 6.020787271027567], [250.28134169370276, -144.5]], [[1.0, 0], [11.488861733510644, 19.899292243574283], [-180.5, 312.63517076618234]], [[1.0, 0], [2.505377510062756, -9.350196159694612], [-458.12743860196804, -264.5]], [[1.0, 0], [42.9895762336901, 0], [841.0, 0]], [[1.0, 0], [-15.60441073637715, -9.009210739192833], [480.5, 832.2504130368455]], [[1.0, 0], [14.82944931166348, -55.34425827939542], [-1185.5887777808964, -684.5]], [[1.0, 0], [-15.289171381857324, 0], [1681.0, 0]], [[1.0, 0], [-16.744114323350598, 16.744114323350598], [0, -1849.0]], [[1.0, 0], [-11.08118296601576, 41.355537837137604], [-1913.050116959825, -1104.5]], [[1.0, 0], [24.700861914216773, -6.618576002267059], [2432.6653592304883, -1404.5]], [[1.0, 0], [-29.693690074278795, -17.14365995761818], [1740.5, 3014.634430573631]], [[1.0, 0], [77.47995480373491, -44.73307276273639], [1860.5, -3222.4805274818964]], [[1.0, 0], [-98.17242182504256, 26.305221147027677], [3887.5880375883453, -2244.5]], [[1.0, 0], [0, 28.732572041526264], [-5041.0, 0]], [[1.0, 0], [7.997028876672298, -2.1427974293527106], [4615.049376767273, -2664.5]], [[1.0, 0], [81.23900411351528, -46.90336089363516], [3120.5, -5404.864545018681]], [[1.0, 0], [83.36664332134761, -83.36664332134761], [0, -6889.0]], [[1.0, 0], [72.15022646744605, -41.655952673072434], [3960.5, -6859.787223376538]], [[1.0, 0], [-55.59465394737862, 55.59465394737862], [0, -9409.0]], [[1.0, 0], [64.2787308390263, -111.33402765923799], [-5100.5, -8834.325144005059]], [[1.0, 0], [37.220175150296114, -138.90758472751767], [-9187.66350874911, -5304.5]], [[1.0, 0], [-7.256817873823108, -1.9444584889106389], [9915.124847928038, 5724.5]], [[1.0, 0], [151.16404616041967, 87.27460274251132], [5940.5, 10289.247822362915]], [[1.0, 0], [-24.587161404658186, -24.587161404658186], [0, 12769.0]]], 'gamma_factors': [[], [0]], 'group': 'GL2', 'id': 9715484, 'index': 13, 'label': '2-105-105.17-c2-0-13', 'load_key': 'CMFs-workshop', 'motivic_weight': 2, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [2], 'order_of_vanishing': 0, 'origin': 'ModularForm/GL2/Q/holomorphic/105/3/w/a/17/6', 'plot_delta': {'__RealLiteral__': 0, 'data': '0.125', 'prec': 17}, 'plot_values': [1.0360800468042322, 1.0798666523907947, 1.11705052150354, 1.146406386881179, 1.165905643897859, 1.1727543528837725, 1.1634925214680616, 1.1341475796461957, 1.0804356275124496, 0.9980054977243447, 0.8827214286739009, 0.7309793272033619, 0.5400490602334944, 0.3084312970126101, 0.03621271440402081, -0.27460146317608225, -0.6198029339414711, -0.992772309692051, -1.3843775692242444, -1.7830080893842983, -2.174769859081678, -2.5438610076052455, -2.8731372600393055, -3.1448645428812636, -3.3416411726918893, -3.447455661616846, -3.4488292760411268, -3.335976480340427, -3.1039028861540277, -2.7533510036024036, -2.2915005974886817, -1.7323342066554055, -1.0965903941129242, -0.41124797008387637, 0.29148657264113603, 0.9756800579487853, 1.6036125887740398, 2.138063848933643, 2.5448116181816913, 2.7951726668230026, 2.8683905452739906, 2.7536631447431508, 2.4516084627307406, 1.9749917141721232, 1.3485810994801122, 0.6080615531418935, -0.20198803693482514, -1.0309640061785514, -1.8257775900101152, -2.534810806590405, -3.111972071760589, -3.5204974067326584, -3.73613669281357, -3.749393505894827, -3.5665525160086595, -3.2093272714418735, -2.713086360073271, -2.1237566459874175, -1.4936447182620267, -0.8765463046177138, -0.3226124914543263, 0.12650285750908064, 0.4416885250791893, 0.6091458708744951, 0.6315304702936045, 0.527277775843329, 0.3281246124829342, 0.07505128571438933, -0.1869291563119591, -0.41454314745054244, -0.5718947444472, -0.6352488495929524, -0.5963024566492432, -0.4634393387101842, -0.2606929469504139, -0.02442553925759818, 0.20196354429670527, 0.3746992104342552, 0.456828224342208, 0.4249799655542748, 0.2746967004946644, 0.023452154030714295, -0.28928066607817915, -0.6052005950033541, -0.8534550085026561, -0.9594476022729003, -0.8552008195605683, -0.489992482833588, 0.1601692450484792, 1.085640616266454, 2.239991387108499, 3.541387638634216, 4.878741137886738, 6.122233816680686, 7.137204150942093, 7.799849355056341, 8.012834481856535, 7.718770438290613, 6.909663283254739, 5.630847234863971, 3.9785555428402057, 2.0910829328576543, 0.13434901528216459, -1.7165329502777424, -3.297459235827018, -4.4747445925302705, -5.161166729786035, -5.326430712118015, -5.0005190365622365, -4.269319661620916, -3.2629736865684387, -2.138409822524355, -1.0583833702256156, -0.1698809048057146, 0.41510411502934946, 0.6337113065477344, 0.47925446075725686, 0.00016393945463084406, -0.7089835045584736, -1.5229803685794177, -2.3056886012424553, -2.930916372189799, -3.3012733131465963, -3.3621142824092702, -3.108450799344244, -2.5838263087205804, -1.8714431078499425, -1.0790878247311897, -0.3204205882658578, 0.3042038225011541, 0.7241363085917425, 0.9092795734736974, 0.8735556200242499, 0.6704486131101111, 0.3814681368049818, 0.09964085610487056, -0.0889521486071123, -0.12218983606171874, 0.02570385833880967, 0.3387815635839599, 0.7621192769776688, 1.2123112709365882, 1.5938693925534595, 1.8185175065169896, 1.8237337537046645, 1.5869203101537614, 1.132291909316022, 0.5288630107832591, -0.12044100608557083, -0.6968175915618873, -1.0875899169606533, -1.2081051934336435, -1.0192987777431015, -0.5373433840733585, 0.16683118040788794, 0.9785081685960229, 1.7589957199677344, 2.3708485270079214, 2.7038636613420537, 2.6968513470111235, 2.350769535657631, 1.7302836856882782, 0.9529284413732272, 0.16742739933169626, -0.47507819709906596, -0.8515671792262303, -0.8935025183295193, -0.6035930478678933, -0.05912011017992187, 0.5995784762678974, 1.1940500414216535, 1.541981773284341, 1.4946197277796274, 0.9702538075316, -0.022955503342351396, -1.3798441175983913, -2.9091018729466476, -4.361109367290205, -5.468477305699311, -5.992418255621398, -5.7666848757834535, -4.730924230942952, -2.9469576965336293, -0.5944352628110101, 2.0539898642926926, 4.674050467652896, 6.940778543490969, 8.580037964694485, 9.411549589051218, 9.375773725254616, 8.539959798382712, 7.082520701726352, 5.2589037474983416, 3.3555330284098517, 1.640523762637967, 0.3203003856786012, -0.4900948534469893, -0.7780625081164293, -0.624704646726665, -0.179035510211547, 0.3788196124725093, 0.8774254597598519, 1.1885481075913755, 1.2495403155004958, 1.069617515391342, 0.7196644513393415, 0.30881502315166265, -0.04615405389317264, -0.2511864642800668, -0.2579499905352794, -0.0742917639298968, 0.2399516926485383, 0.590344321376179, 0.8738239238187102, 1.0065841072267816, 0.9467344833421557, 0.7058798412008477, 0.3464760384942055, -0.034643671179383315, -0.3326586348685642, -0.4645039121400043, -0.394293235439714, -0.14750190710137176, 0.190505212193712, 0.49229492164941335, 0.6191442646541945, 0.4579074682924741, -0.04489270235112345, -0.8605653402484125, -1.8739684987749994, -2.900137491868934, -3.7196867082656113, -4.1262076969484935, -3.9755455523549297, -3.2256529106715677, -1.9570952876637608, -0.368036794589751, 1.2570665451971335, 2.5999523324238782, 3.372051316696879, 3.375813031581491, 2.55045750902996, 0.9915260381844309, -1.0611368325504595, -3.2656765107580483, -5.242882825387387, -6.65019682496497, -7.24967958925139, -6.955495389018249, -5.850604188884818, -4.168850042634841, -2.2460695299111357, -0.45058081812058665, 0.892070692269743, 1.5639812786363694, 1.4955677155364644, 0.7736556145030394], 'positive_zeros': ['1.76537548873152645571581456530069', '4.19812830737016885498636888449555', '5.71941109626510015031339329895480', '7.58609638501685263543204502417458', '8.410306661805443521283209267777187', '9.387815269907675232668222683238343', '10.13501306041024131074542719542256', '10.97376148474753784248194639891522', '12.75870634379205116683270729230421', '14.15472994660767856880427977923141'], 'prelabel': '2-105-105.17-c2-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.6914617275549328, 'root_angle': 0.17762691021567972, 'root_number': '0.43922294251436206 + 0.8983780978903178*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.177626910216', 'prec': 47}, 'spectral_label': 'c2-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.76537548873152645571581456530', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '4.19812830737016885498636888450', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '5.71941109626510015031339329895', 'prec': 103}}
