{'Lhash': '3859792432149990295032546330782', 'a10': [-56.95833268195436, -55.89532695100755], 'a2': [1.5960625597849505, -2.764461445605973], 'a3': [0.340062960548533, -8.993573104326387], 'a4': [2.9051686105054233, 5.031899637949671], 'a5': [6.242739869205797, -24.208019310249824], 'a6': [-24.31962434584798, -15.2943962540193], 'a7': [-21.0893191282305, -12.175924075709803], 'a8': [69.6213253094791, 0.0], 'a9': [-80.76871436572593, -6.116762191533784], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 4.651648338772996, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '2.0', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [-0.340062960548533, 8.993573104326387]]], [5, [[1.0, 0], [-6.242739869205797, 24.208019310249824]]]], 'bad_primes': [3, 5], 'central_character': '45.29', 'coefficient_field': 'CDF', 'conductor': 45, 'conductor_radical': 15, 'conjugate': '1616921137041756372891985221187', 'degree': 2, 'euler_factors': [[[1.0, 0], [-1.5960625597849505, 2.764461445605973], [-8.0, -13.856406460551018]], [[1.0, 0], [-0.340062960548533, 8.993573104326387]], [[1.0, 0], [-6.242739869205797, 24.208019310249824]], [[1.0, 0], [21.0893191282305, 12.175924075709803], [1200.5, 2079.3269944864373]], [[1.0, 0], [35.81527209954539, 20.677956987772223], [7320.5, 12679.477936807967]], [[1.0, 0], [78.1877836208987, -45.14173792086608], [14280.5, -24734.551557487353]], [[1.0, 0], [-318.3475332921569, 0], [83521.0, 0]], [[1.0, 0], [-572.8031877427375, 0], [130321.0, 0]], [[1.0, 0], [-93.62898205907338, -162.17015398726997], [-139920.5, 242349.41502044108]], [[1.0, 0], [-1202.3169505161873, -694.1580150317707], [353640.5, 612523.3136140616]], [[1.0, 0], [-91.58450061586812, -158.6290082525067], [-461760.5, 799792.6469284085]], [[1.0, 0], [0, 348.4989766249455], [-1874161.0, 0]], [[1.0, 0], [1888.7995425765926, -1090.4989243518378], [1412880.5, -2447180.811023319]], [[1.0, 0], [1193.759159467888, 689.2171720663665], [1709400.5, 2960768.5164836426]], [[1.0, 0], [-342.1271732544437, 592.5816467266163], [-2439840.5, -4225927.708364253]], [[1.0, 0], [2093.4674108595623, 0], [7890481.0, 0]], [[1.0, 0], [-4766.865745605399, 2752.1512214160834], [6058680.5, -10493942.45282681]], [[1.0, 0], [3222.1589135175545, -5580.942948273337], [-6922920.5, -11990850.042760136]], [[1.0, 0], [4148.127698719561, -2394.922643488681], [10075560.5, -17451382.700734083]], [[1.0, 0], [0, 6781.686674490292], [-25411681.0, 0]], [[1.0, 0], [0, -9049.689480224528], [-28398241.0, 0]], [[1.0, 0], [2106.785048784878, -3649.058745121885], [-19475040.5, -33731759.62546159]], [[1.0, 0], [3109.956792294806, -5386.603173598533], [-23729160.5, -41100111.606956504]], [[1.0, 0], [0, -1469.1470000601514], [-62742241.0, 0]], [[1.0, 0], [1918.2446606512503, 1107.4990711985618], [44264640.5, 76668606.32477103]], [[1.0, 0], [7258.628631423077, 4190.771194299638], [52030200.5, 90118950.7939956]], [[1.0, 0], [-11518.592488033732, 6650.262473651876], [56275440.5, -97471922.1643193]], [[1.0, 0], [-15948.233019773324, 0], [131079601.0, 0]], [[1.0, 0], [9000.770953277462, 0], [141158161.0, 0]], [[1.0, 0], [8600.913391444408, 14897.218985481259], [-81523680.5, 141203156.64601213]]], 'gamma_factors': [[], [0]], 'group': 'GL2', 'id': 9802980, 'index': 17, 'label': '2-45-45.29-c4-0-17', 'load_key': 'CMFs-workshop', 'motivic_weight': 4, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [4], 'order_of_vanishing': 0, 'origin': 'ModularForm/GL2/Q/holomorphic/45/5/h/a/29/15', 'plot_delta': {'__RealLiteral__': 0, 'data': '0.125', 'prec': 17}, 'plot_values': [1.946607054608573, 2.1136521841534024, 2.2728718422716145, 2.4231445148067365, 2.5630825780017474, 2.6909977016408324, 2.8048868210372726, 2.902440658418648, 2.981076137347319, 3.0379933650057334, 3.0702571363333093, 3.074902110792452, 3.0490598963086533, 2.990105225256102, 2.895817222983674, 2.764550474104944, 2.5954092370193393, 2.3884168212986348, 2.1446709278301315, 1.8664747784584754, 1.5574332618777582, 1.222503229402438, 0.8679876134681288, 0.5014643189782066, 0.13164292654757023, -0.23185482350602302, -0.5787910537161736, -0.8986801004459445, -1.1812199930073861, -1.4167725211704525, -1.596872005436002, -1.7147379049686378, -1.765762203100728, -1.7479395395145554, -1.6622067425143106, -1.5126591406215524, -1.30661410271274, -1.0544978489056038, -0.7695397078877779, -0.4672684952514028, -0.1648181629084596, 0.119936287478887, 0.3693772432416184, 0.5672279479397591, 0.6996593120345737, 0.7563487835599927, 0.7314143124759968, 0.624145693753173, 0.4394605371872223, 0.1880232175668025, -0.11401760003419872, -0.44569440233792634, -0.7822833510200866, -1.0967275950117392, -1.3613537635298818, -1.5497842380231162, -1.6389221737579351, -1.610867429588443, -1.4546119896618217, -1.167365070448155, -0.7553721318123335, -0.23411875785606656, 0.3721509309127212, 1.031622954115318, 1.7067751720129096, 2.3568193470758554, 2.9405741956481117, 3.4195704442585138, 3.7611515517290384, 3.9413133080225773, 3.9470255883551806, 3.777802247143189, 3.446330728310022, 2.9780395779388504, 2.4095656242948835, 1.786177056069095, 1.1583062293586073, 0.5774379191519015, 0.0916757102992448, -0.25863736606648663, -0.444845216973313, -0.45306641043764123, -0.28610813055088175, 0.03604233763500297, 0.47728048688825997, 0.9879954665062001, 1.5090748052387126, 1.9770054164796487, 2.3296489735508747, 2.512178406642947, 2.4826156671925386, 2.216417069269997, 1.7096146372191594, 0.9801375391292994, 0.0670986136950587, -0.9719764737732054, -2.0657938457782703, -3.1354274299949454, -4.101394080914681, -4.890994332837034, -5.445188861273127, -5.724298935869283, -5.711914340870799, -5.416558328389686, -4.870881728506673, -4.128415664024301, -3.2581774140628266, -2.3376673221192297, -1.4449874781821301, -0.6509306199665944, -0.011913047537486442, 0.4354490345760656, 0.6774904012765812, 0.7239956350566555, 0.6059705031481267, 0.37093407013403745, 0.07628462592529806, -0.21845944782025015, -0.45958473871416644, -0.6062704245149215, -0.6359153748435011, -0.5469820574241039, -0.3589351715356851, -0.10921991104743456, 0.15238607808898974, 0.3713511190098177, 0.49691646073748186, 0.4904213478932853, 0.33225279078761627, 0.026379810175904038, -0.39828826263102846, -0.8900830748531648, -1.380195031775986, -1.7911468474527419, -2.0471176030714426, -2.084801043990683, -1.8633329367729436, -1.3718648183066946, -0.6336003320115702, 0.2944760378788138, 1.3264064027711853, 2.356228980314683, 3.2701509969176326, 3.960480857888227, 4.3395610458510285, 4.351852015470378, 3.9824735114922487, 3.2609043771536452, 2.2591325933833692, 1.084262097513568, -0.13367094883236091, -1.2572441134155186, -2.1586201609029065, -2.7357441396112923, -2.9255952013453608, -2.7126513739532943, -2.1313205148728094, -1.2618782228208683, -0.22032978660099875, 0.8565423164797173, 1.828992052190533, 2.5725954742246824, 2.9945097233798683, 3.0454489214434397, 2.7256896540929714, 2.0842414781002954, 1.2112812654679819, 0.22491697018126106, -0.7458253857283701, -1.5793336526309203, -2.1783924315700856, -2.483331851929966, -2.4794141550613373, -2.197384571453189, -1.7071413969700164, -1.1055287127954114, -0.5001630346398299, 0.008170848788443041, 0.3417821068780232, 0.45841518190733666, 0.35769422797139394, 0.08061977369908319, -0.29782683253767817, -0.6818009742823905, -0.9713202018420068, -1.0798664022366622, -0.9499506334610225, -0.5640172328688233, 0.05120870746905568, 0.827771547675431, 1.666558125864226, 2.4528393103133075, 3.074779847894078, 3.441867529841577, 3.500163137412681, 3.241743499547966, 2.7066355813308607, 1.9767754085383806, 1.1628705383754534, 0.38627283616964686, -0.24113332745577484, -0.6356167175012071, -0.7556187000840582, -0.6086007579587214, -0.24940161743616332, 0.22976631425953375, 0.7160863050349772, 1.096849991627646, 1.2805227670776218, 1.2144113396504939, 0.8956788836216977, 0.37353907875041503, -0.258035686627785, -0.876086019032869, -1.3503635163671426, -1.5672549089062555, -1.4517039419782904, -0.9831080400924875, -0.20209542457262944, 0.793399034476472, 1.8624923024903037, 2.8440109547287067, 3.583756983122628, 3.961733757365823, 3.9145183568329016, 3.448648311916996, 2.6423283175398025, 1.634725891973693, 0.6042830077021959, -0.2605533968754304, -0.7933418132469843, -0.878929985454193, -0.4748625568092869, 0.3790037345409094, 1.5646389233014497, 2.9033467514681073, 4.183920411124673, 5.196823800764167, 5.768647922398374, 5.790957932175679, 5.238547185903597, 4.1739067464193935, 2.737095059524045, 1.1227347658050526, -0.4518828658145128, -1.7820493993666884, -2.7081385050313456, -3.139767863903177, -3.0675661852463576, -2.5607444245272752, -1.7512428279579, -0.8076391777377465, 0.09618943636907103, 0.8117953307231568, 1.2406630806460235, 1.3481643683859172, 1.1647411734789217], 'positive_zeros': ['3.04483935199105213382458768917121', '5.07089353947738195467708128246614', '6.20472400944704906021785481573636', '7.67503826402669440707485146658925', '9.778066375019022959539555363967647', '10.36324394178061823106593908817800', '11.75846153549530335949115256407730', '13.75273071800790301404039260758364', '14.53139506304560363562120130053030', '15.42639911049211692652783572066126'], 'prelabel': '2-45-45.29-c4-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.156768030821348, 'root_angle': 0.3299754866578534, 'root_number': '-0.48161869799338103 + 0.8763808702517191*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.329975486658', 'prec': 47}, 'spectral_label': 'c4-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '3.04483935199105213382458768917', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '5.07089353947738195467708128247', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '6.20472400944704906021785481574', 'prec': 103}}
