{'Lhash': '51673792301478208084385735891', 'a10': [0, 0], 'a2': [0, 0], 'a3': [-1.6449725414687395, -2.8491760188795587], 'a4': [0, 0], 'a5': [0.5, -0.8660254037844386], 'a6': [0, 0], 'a7': [0, 0], 'a8': [0, 0], 'a9': [-3.9118693243722484, 6.775556422382872], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 15.650678796170963, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [5, [[1.0, 0], [-0.5, 0.8660254037844386]]], [7, [[1.0, 0], [0, 0]]]], 'bad_primes': [2, 5, 7], 'central_character': '1960.961', 'coefficient_field': 'CDF', 'conductor': 1960, 'conductor_radical': 70, 'conjugate': '1310437009492761346689117943534', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [1.6449725414687395, 2.8491760188795587], [-1.5, 2.598076211353316]], [[1.0, 0], [-0.5, 0.8660254037844386]], [[1.0, 0], [0, 0]], [[1.0, 0], [2.9118693243722484, 5.043505614813994], [-5.5, 9.526279441628825]], [[1.0, 0], [2.7561515171304616, 0], [13.0, 0]], [[1.0, 0], [-1.0, -1.7320508075688772], [-8.5, 14.722431864335457]], [[1.0, 0], [0.37807575856523074, -0.6548464229451239], [-9.5, -16.454482671904334]], [[1.0, 0], [-0.2668967829035088, 0.4622787883655578], [-11.5, -19.91858428704209]], [[1.0, 0], [0.8237386487444969, 0], [29.0, 0]], [[1.0, 0], [1.2899450829374792, 2.234250422621363], [-15.5, 26.846787517317598]], [[1.0, 0], [2.3780757585652306, -4.118948038082879], [-18.5, -32.04293994002423]], [[1.0, 0], [6.067587131614036, 0], [41.0, 0]], [[1.0, 0], [-0.7100549170625208, 0], [43.0, 0]], [[1.0, 0], [6.445662890179266, -11.164215614251741], [-23.5, -40.703193977868615]], [[1.0, 0], [-4.201814407309728, -7.277756037435357], [-26.5, 45.89934640057525]], [[1.0, 0], [-4.0, -6.928203230275509], [-29.5, 51.09549882328188]], [[1.0, 0], [-4.701814407309728, 8.143781441219796], [-30.5, -52.827549630850754]], [[1.0, 0], [5.934917624406219, 10.279578864207554], [-33.5, 58.023702053557386]], [[1.0, 0], [0, 0], [71.0, 0]], [[1.0, 0], [-1.7561515171304616, -3.041743653459125], [-36.5, 63.21985447626402]], [[1.0, 0], [-4.756151517130461, 8.237896076165757], [-39.5, -68.41600689897065]], [[1.0, 0], [-6.7100549170625206, 0], [83.0, 0]], [[1.0, 0], [-0.8780757585652308, 1.5208718267295624], [-44.5, -77.07626093681505]], [[1.0, 0], [-2.0, 0], [97.0, 0]], [[1.0, 0], [-1.16802084150271, -2.0230714417820486], [-50.5, 87.4685657822283]], [[1.0, 0], [1.1111789756617219, -1.9246184421484434], [-51.5, -89.20061658979718]], [[1.0, 0], [7.934917624406219, -13.743680479345308], [-53.5, -92.66471820493493]], [[1.0, 0], [-1.6342272756956924, -2.83056467261981], [-54.5, 94.39676901250381]], [[1.0, 0], [13.159780331749916, 0], [113.0, 0]]], 'gamma_factors': [[], [0]], 'group': 'GL2', 'id': 23504098, 'index': 1, 'label': '2-1960-7.2-c1-0-1', 'leading_term': '0.088055850226966610370276605509282994543398267914062127', '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/1960/2/q/w/961/1', 'plot_delta': {'__RealLiteral__': 0, 'data': '0.05859375', 'prec': 34}, 'plot_values': [0.08805585022696662, -0.040607675087796176, -0.18317480775959435, -0.340025496048284, -0.5115146286181317, -0.6978943013918244, -0.8992328768691702, -1.1153355426402003, -1.345670551426759, -1.5893046174947525, -1.8448502060670138, -2.1104267892957176, -2.383637603102563, -2.66156302323922, -2.940771353978289, -3.2173475432866, -3.486940059452257, -3.744825850720545, -3.98599293940099, -4.205239766279381, -4.397289902836948, -4.556920200012463, -4.679099862466464, -4.759137351067702, -4.792831451551756, -4.776622333809968, -4.707737994384948, -4.584331154045617, -4.40560150033732, -4.171898146023719, -3.884797338119226, -3.547150812815705, -3.163100756299017, -2.7380580997466675, -2.2786418397251063, -1.7925782148292297, -1.2885598586793292, -0.7760664523705618, -0.26514987194665113, 0.233811682987498, 0.7103846419673798, 1.1543688088612072, 1.5560954222784842, 1.9067250900465273, 2.1985354753845994, 2.4251882653625674, 2.581964981487923, 2.6659616278182083, 2.6762330292857253, 2.613878990825244, 2.482066087282422, 2.285980937051133, 2.0327131622987493, 1.7310688209891696, 1.391317820133207, 1.0248815818307668, 0.6439699199270958, 0.26117857616859, -0.11093895928575696, -0.46030997234331583, -0.7757748127968369, -1.0474957761967387, -1.2673255133696633, -1.4291187355632582, -1.5289725600033153, -1.5653831379057008, -1.5393091683821347, -1.4541364366317104, -1.315541500176938, -1.1312569304013804, -0.9107449219416652, -0.6647904158391956, -0.40502894061469896, -0.14342795508579664, 0.1082566163064625, 0.3390249053667105, 0.5391538623120123, 0.700669474919834, 0.8177468562939545, 0.8870169782415591, 0.9077623159737784, 0.8819881774220555, 0.8143618563396658, 0.712017760220143, 0.5842330650777208, 0.4419849479115827, 0.2974067306735049, 0.1631660154391822, 0.05179278582541314, -0.025010794661507765, -0.05704478944349288, -0.03623521731341767, 0.04282686076734993, 0.18246218863504887, 0.3816230072101143, 0.6357765446383913, 0.9369659383174036, 1.2740538457253017, 1.6331449371986928, 1.9981741411936147, 2.3516383957190325, 2.675441227781616, 2.9518122054031664, 3.1642576188056055, 3.298495023779598, 3.343322813392705, 3.291376963639776, 3.139730595597618, 2.890297953765404, 2.550012627807535, 2.1307600238182305, 1.649055783384883, 1.125474514208929, 0.5838462167976612, 0.0502505008125657, -0.4481496003826659, -0.8843823494693145, -1.2329908932996254, -1.47134102733123, -1.5808465770318842, -1.548047363121999, -1.3654796998278005, -1.0322876929971962, -0.5545349521166991, 0.05480977564282704, 0.7762237409375407, 1.5843118529082134, 2.448795412248788, 3.3357678958101036, 4.2091627570497465, 5.032365608243802, 5.769893731355951, 6.389060241054204, 6.861538824850007, 7.164748022702339, 7.2829814542208196, 7.208221982528946, 6.940593007207361, 6.488418172825825, 5.867880847523566, 5.102295711708525, 4.22102556032404, 3.258095802283635, 2.2505760216355566, 1.2368113417536857, 0.2545953740153414, -0.6606193698488212, -1.4773789043550372, -2.169664840252646, -2.718034456833985, -3.1104031743761085, -3.342428503448027, -3.4174767888659696, -3.3461776154993355, -3.1455942416017386, -2.8380604868314, -2.4497537968116365, -2.0090895423948765, -1.5450320124750192, -1.085422326472996, -0.6554222580882746, -0.2761657174635134, 0.03630325377803493, 0.27174494297591356, 0.4260515651177562, 0.5011729867860458, 0.504650966981455, 0.4487972235686121, 0.34957347594027816, 0.2252508943048159, 0.09494081553783197, -0.02290283740463087, -0.11190691556194772, -0.1590303202998463, -0.15555652308777093, -0.0977577545858864, 0.012816733916534869, 0.16945045163959221, 0.3607622560546219, 0.5715690885650418, 0.7840505483676715, 0.97913488371214, 1.138008982583074, 1.2436443301403672, 1.282227538355914, 1.2443883466486856, 1.1261298354257956, 0.9293843665247914, 0.6621433568222489, 0.33813786783244315, -0.023921716349447706, -0.40150703744512706, -0.7697644881749095, -1.1032438584426185, -1.3777474992741037, -1.5721720686289764, -1.670210899969728, -1.6617900646065693, -1.5441252214773016, -1.3223086828657422, -1.0093654992027603, -0.6257519847908508, -0.19830775680319626, 0.2412894477300003, 0.6584807834705705, 1.018078223883255, 1.2866698899546105, 1.4350214910367125, 1.440310999532461, 1.288038984508476, 0.9734732060968929, 0.5025123592548644, -0.10811122584362522, -0.8313286807231801, -1.6309249071547216, -2.4633692323707828, -3.2801894361938233, -4.030753282540665, -4.665290786461104, -5.137969841100263, -5.409829177220799, -5.451376817831699, -5.2446792538273455, -4.784795656487944, -4.080450870460233, -3.1538882620113378, -2.0398957025120628, -0.7840516176878922, 0.5597104701070091, 1.9320746607137627, 3.2716714726617733, 4.518556129922068, 5.617617787456503, 6.521703632755211, 7.194258773542739, 7.611313309407799, 7.762690066333089, 7.652357394340727, 7.297907783258686, 6.7292010102794215, 5.986266106618823, 5.1166057511142204, 4.172086295068765, 3.2056236737413277, 2.2678880039412017, 1.4042467537070813, 0.6521481405205767, 0.03911410544246137, -0.4185319229233591, -0.7161300966473696, -0.860327437561073, -0.8679432798528133, -0.7641558843559318, -0.5801568617710737, -0.35045671136373147, -0.11004780503898276, 0.10836117767159044], 'positive_zeros': ['0.04076343457114665019624722728797', '2.25744647527864239041125376445732', '3.38067573015059140838754672361715', '4.31028092473841053967369710600033', '5.19210381630481120768908654317402', '5.36438911572178357879473333024566', '6.68536278504053851585723071363783', '7.26079190133549925348411702460830', '8.511881931273645125713536066936073', '9.484594856137208609110023303776059'], 'prelabel': '2-1960-7.2-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 3.9560938811118933, 'root_angle': -0.14649371361272054, 'root_number': '0.6054643436493673635071294605077551469423497523567868621 - 0.7958724323465669471984178169629224157856347934855379281*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '-0.14649371361272054', 'prec': 67}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.04076343457114665019624722729', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '2.25744647527864239041125376446', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.38067573015059140838754672362', 'prec': 103}}
