{'Lhash': '2661788201580392307610224372000', 'a10': [2.1609122798543967, -0.9159109100152535], 'a2': [0.2716597709522879, 1.013848067566462], 'a3': [0.0, 0.0], 'a4': [0.7779619346144772, -0.4491565323689505], 'a5': [-0.3100350564722936, -2.2144701993384834], 'a6': [0.0, 0.0], 'a7': [-1.2679964230561236, -2.322107893943965], 'a8': [2.1510940365724296, 2.1510940365724296], 'a9': [0.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 2.515287663670333, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [0, 0]]], [5, [[1.0, 0], [0.3100350564722936, 2.2144701993384834]]], [7, [[1.0, 0], [1.2679964230561236, 2.322107893943965]]]], 'bad_primes': [3, 5, 7], 'central_character': '315.107', 'coefficient_field': 'CDF', 'conductor': 315, 'conductor_radical': 105, 'conjugate': '1571517710415241572481970837062', 'degree': 2, 'euler_factors': [[[1.0, 0], [-0.2716597709522879, -1.013848067566462], [-1.7320508075688772, 1.0]], [[1.0, 0], [0, 0]], [[1.0, 0], [0.3100350564722936, 2.2144701993384834]], [[1.0, 0], [1.2679964230561236, 2.322107893943965]], [[1.0, 0], [1.5258446023511218, -0.8809467919089577], [5.5, -9.526279441628825]], [[1.0, 0], [-4.986157015430033, 4.986157015430033], [0, -13.0]], [[1.0, 0], [-0.4589159061080934, -0.12296614643546057], [14.722431864335457, 8.5]], [[1.0, 0], [-2.3345155971960367, -1.3478332084685116], [9.5, 16.454482671904334]], [[1.0, 0], [6.307720691000823, -1.690148665234754], [19.91858428704209, -11.5]], [[1.0, 0], [-7.013568349194719, 0], [29.0, 0]], [[1.0, 0], [-3.95305609033265, -6.846893993625735], [-15.5, 26.846787517317598]], [[1.0, 0], [6.458006312248879, -1.73041757608218], [32.04293994002423, -18.5]], [[1.0, 0], [0, -6.208390476779669], [-41.0, 0]], [[1.0, 0], [2.2820927093953727, -2.2820927093953727], [0, -43.0]], [[1.0, 0], [0.393943048447548, 1.4702154720948168], [-40.703193977868615, 23.5]], [[1.0, 0], [-2.264717360209334, 8.452040253084501], [-45.89934640057525, -26.5]], [[1.0, 0], [6.179673994607547, 10.703509332872391], [-29.5, 51.09549882328188]], [[1.0, 0], [2.2611280179309863, -3.9163886094739793], [-30.5, -52.827549630850754]], [[1.0, 0], [0.5305686900094688, -1.9801093080205994], [-58.023702053557386, -33.5]], [[1.0, 0], [0, -9.799369207958591], [-71.0, 0]], [[1.0, 0], [1.4596161166424857, 0.39110295971380543], [63.21985447626402, 36.5]], [[1.0, 0], [-9.0805874132895, -5.242679587462621], [39.5, 68.41600689897065]], [[1.0, 0], [2.0715645256048028, 2.0715645256048028], [0, 83.0]], [[1.0, 0], [-1.649592338174273, 2.8571777414941817], [-44.5, -77.07626093681505]], [[1.0, 0], [-3.212370504341226, -3.212370504341226], [0, 97.0]], [[1.0, 0], [0.9926599746332758, -0.5731125035682889], [50.5, -87.4685657822283]], [[1.0, 0], [2.744702058206402, 10.243367532865163], [-89.20061658979718, 51.5]], [[1.0, 0], [-2.55850004359332, -9.548452153857458], [-92.66471820493493, 53.5]], [[1.0, 0], [-4.524900125358937, 2.6124523054321536], [54.5, -94.39676901250381]], [[1.0, 0], [2.4832829715600244, 2.4832829715600244], [0, 113.0]]], 'gamma_factors': [[], [0]], 'group': 'GL2', 'id': 9889877, 'index': 11, 'label': '2-315-105.2-c1-0-11', '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/315/2/ce/a/107/11', 'plot_delta': {'__RealLiteral__': 0, 'data': '0.125', 'prec': 17}, 'plot_values': [1.5895662808319513, 1.6495008928122938, 1.7128686138567182, 1.777436121867952, 1.8382304026286118, 1.8883107272076323, 1.9196474096045935, 1.923989721438871, 1.8936843017051705, 1.822445310475305, 1.70607781019929, 1.543135205978057, 1.3354670723294464, 1.088595023625534, 0.8118457260310636, 0.5181732959515832, 0.22361856114740225, -0.05362048049297546, -0.2944955993185456, -0.4807365963601333, -0.5966964990161048, -0.6312625479138542, -0.579642824157918, -0.44481367913275177, -0.23840897496824642, 0.01914655133064705, 0.299408042591888, 0.5676564873761085, 0.7855903104567075, 0.9148169515714908, 0.920879239136968, 0.777443005007368, 0.4701913096590878, -6.763455380880671e-05, -0.6155545868667986, -1.34133110613812, -2.127021485648392, -2.9104991253266816, -3.62335612736288, -4.197727357494733, -4.573812062834763, -4.707261196177187, -4.575508641405309, -4.182144351858648, -3.558570056685575, -2.762441199902784, -1.872762119782383, -0.9819278136736974, -0.18544326635631644, 0.4295602131611581, 0.7956143279885325, 0.874497484585828, 0.6636873413638992, 0.19855316275823803, -0.45035331890706193, -1.1849211377649396, -1.8913379727509054, -2.454843911016354, -2.7755176709877594, -2.782934195261511, -2.447529011322053, -1.7868238187844667, -0.8652902548971979, 0.21251407160195643, 1.3149239954605452, 2.3006877799015055, 3.0386732498884568, 3.4269273477238924, 3.4081940202130294, 2.9793839325944336, 2.193300101583166, 1.1520539232531621, -0.007107290718382953, -1.131599466414209, -2.075980471403455, -2.723612246495199, -3.004016457885313, -2.9030261842413068, -2.463945775762698, -1.7793935972664687, -0.9750808122717789, -0.18820125122644396, 0.45588808444890877, 0.8646299167569421, 0.9931382474892964, 0.8502658289570698, 0.4947108815502101, 0.021831110730726345, -0.45640449886039, -0.8345329063782081, -1.0353063766963404, -1.0256759853238209, -0.8237411185094621, -0.4950595236245814, -0.13880415809460295, 0.13366456922641637, 0.22358859028380296, 0.06787242734284879, -0.3445436858461852, -0.9667922123274894, -1.700453495625893, -2.413496214297623, -2.96660655986667, -3.2427827273408667, -3.1740903902442765, -2.7597222514420867, -2.0710010893447746, -1.2414697279535871, -0.4432540838531122, 0.1461450806779537, 0.3802138790645784, 0.1754901097186524, -0.467630314875611, -1.4603121174507172, -2.638730202195961, -3.793637715495997, -4.710631044120756, -5.213154190320971, -5.199320448320364, -4.664527914542365, -3.704510715769558, -2.4974141556230625, -1.2679182815280468, -0.24042098037745943, 0.4090612476730586, 0.5919503704790753, 0.3283492453270646, -0.254772618449931, -0.9488709464833872, -1.5079113928471555, -1.7022859074873489, -1.3711319005237033, -0.4615839424045189, 0.9540258898691212, 2.6874494052910047, 4.469037761584502, 6.000671680248885, 7.016073030162046, 7.3355949459691985, 6.903550143463437, 5.79978932176157, 4.222822532337251, 2.4480613985777704, 0.7703294519957449, -0.5566486816947609, -1.3703667105890163, -1.6282201519253332, -1.4086407321315217, -0.8849437781663533, -0.27848704516009243, 0.19746316244732884, 0.38966236151966166, 0.2402440023665979, -0.20276103269398849, -0.8018848704945843, -1.369155906095314, -1.7174484649730717, -1.7111291951875434, -1.3030904357548212, -0.5487235803816347, 0.40673892272805195, 1.3642608824253828, 2.1211272393059706, 2.5221703709798518, 2.4987494469409675, 2.0852481686269884, 1.4086888776579374, 0.6541291349369576, 0.014969691821350146, -0.3585638624957848, -0.3988490592838346, -0.13736563434642626, 0.30649815296921457, 0.7615856751175062, 1.0563605126736995, 1.071358378011684, 0.7777972828123035, 0.2508127523673278, -0.34752770874142186, -0.8119831029115551, -0.9535373311428794, -0.658365408837446, 0.07042123196516722, 1.1011486213083668, 2.197331698506643, 3.0725919812215245, 3.4637344432442636, 3.2032861529569967, 2.271906961770029, 0.8154504486705145, -0.8798656219864927, -2.4498835096497387, -3.5380679507827675, -3.883028713545965, -3.385483122606596, -2.1367359644719173, -0.4002663314223052, 1.4499506898188446, 3.0193452107294183, 3.9881246604186784, 4.18753027062788, 3.637072283130554, 2.5329249872565196, 1.1905487351610173, -0.043139657926272966, -0.8844410233828057, -1.1887921783300066, -0.9872751445904777, -0.4737052430697664, 0.05421452144757868, 0.2835029869826857, -0.020249888449447195, -0.939977213409891, -2.3757770641455416, -4.0643549342503915, -5.644492824700576, -6.750954499128302, -7.111222864315167, -6.618537890433724, -5.361172484954076, -3.599974837073812, -1.70053962193503, -0.03890845734564797, 1.093108486125695, 1.5570937471259485, 1.3932866775543296, 0.796234997772429, 0.049271749100052074, -0.5621957948961076, -0.8329892673361405, -0.6923827493685243, -0.21541065844192225, 0.41049432470798636, 0.9518841595259148, 1.2073423163925354, 1.072730500334449, 0.5735737805938476, -0.14493931119918965, -0.866448528650229, -1.374374870364001, -1.522234290831, -1.2804531492661198, -0.7443607427031976, -0.10055250233496096, 0.4375970066985245, 0.7041646364033955, 0.6398577494863648, 0.3156451670279842, -0.08853567963297808, -0.3448030784884903, -0.25946185604172317, 0.2503092852054077, 1.111412916397278, 2.0987716485957155, 2.8906963573848445, 3.161683271439302, 2.6858008264426743], 'positive_zeros': ['2.09978065020531732209136057918537', '3.11624630890626801842783842473146', '4.12498455215363641931023928574628', '6.03342208055061291006645275815342', '6.66632728482469619186563195689775', '7.85107246697862720193928535691503', '8.999239067779847924113248319606651', '10.15795850305528390079727311120441', '10.88051819467080072603307367209642', '11.80596039447486639895475898022038'], 'prelabel': '2-315-105.2-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.5859658456821613, 'root_angle': 0.03550064963401226, 'root_number': '0.9752257269803476 + 0.22121207344006458*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.035500649634', 'prec': 47}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '2.09978065020531732209136057919', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '3.11624630890626801842783842473', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '4.12498455215363641931023928575', 'prec': 103}}
