{'Lhash': '1794890573729232653258644105583', 'a10': [0.0, 0.0], 'a2': [-1.822535918511154, 0.0], 'a3': [0.0, 0.0], 'a4': [1.321637174263296, 0.0], 'a5': [0.0, 0.0], 'a6': [0.0, 0.0], 'a7': [1.4503277118872402, 0.0], 'a8': [1.236340615687866, 0.0], 'a9': [0.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 34.13604686409738, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [0, 0]]], [5, [[1.0, 0], [0, 0]]], [19, [[1.0, 0], [1.0, 0]]]], 'bad_primes': [3, 5, 19], 'central_character': '4275.1', 'coefficient_field': 'CDF', 'conductor': 4275, 'conductor_radical': 285, 'degree': 2, 'euler_factors': [[[1.0, 0], [1.822535918511154, 0], [2.0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [-1.4503277118872402, 0], [7.0, 0]], [[1.0, 0], [-3.896549528131922, 0], [11.0, 0]], [[1.0, 0], [-3.05887653419902, 0], [13.0, 0]], [[1.0, 0], [3.923008943262972, 0], [17.0, 0]], [[1.0, 0], [1.0, 0]], [[1.0, 0], [-5.373336655150212, 0], [23.0, 0]], [[1.0, 0], [6.0, 0], [29.0, 0]], [[1.0, 0], [8.436373404790436, 0], [31.0, 0]], [[1.0, 0], [5.959531957973501, 0], [37.0, 0]], [[1.0, 0], [10.436373404790436, 0], [41.0, 0]], [[1.0, 0], [1.4503277118872402, 0], [43.0, 0]], [[1.0, 0], [4.906857348143049, 0], [47.0, 0]], [[1.0, 0], [-4.231267139845596, 0], [53.0, 0]], [[1.0, 0], [3.356725651473408, 0], [59.0, 0]], [[1.0, 0], [-10.332922932922358, 0], [61.0, 0]], [[1.0, 0], [9.844035786628059, 0], [67.0, 0]], [[1.0, 0], [8.643274348526592, 0], [71.0, 0]], [[1.0, 0], [2.434176116767317, 0], [73.0, 0]], [[1.0, 0], [12.436373404790436, 0], [79.0, 0]], [[1.0, 0], [12.663480329194828, 0], [83.0, 0]], [[1.0, 0], [12.36619645037021, 0], [89.0, 0]], [[1.0, 0], [-3.05887653419902, 0], [97.0, 0]], [[1.0, 0], [3.356725651473408, 0], [101.0, 0]], [[1.0, 0], [-13.061133431251617, 0], [103.0, 0]], [[1.0, 0], [-5.770989757207001, 0], [107.0, 0]], [[1.0, 0], [-6.6432743485265915, 0], [109.0, 0]], [[1.0, 0], [-9.416061594229308, 0], [113.0, 0]]], 'gamma_factors': [[], [0]], 'group': 'GL2', 'id': 19691028, 'index': 117, 'label': '2-4275-1.1-c1-0-117', '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': 1, 'origin': 'ModularForm/GL2/Q/holomorphic/4275/2/a/br/1/2', 'plot_delta': {'__RealLiteral__': 0, 'data': '0.05078125', 'prec': 34}, 'plot_values': [1.8535348239723127e-61, 0.11206452013385086, 0.22334944926685704, 0.3330451236030221, 0.4402845699845039, 0.5441217099395828, 0.6435171789253423, 0.7373333667144902, 0.824339647700374, 0.9032281307317702, 0.9726396685098745, 1.0311993578502412, 1.077560345778817, 1.1104544290180698, 1.128747683828018, 1.1314991747156473, 1.11802065140235, 1.0879350451952323, 1.0412315152235034, 0.9783147732118976, 0.9000464373948379, 0.8077762387057908, 0.703361033012067, 0.5891697687829841, 0.4680728253964428, 0.34341447606987696, 0.21896764088182322, 0.09887057585739818, -0.012454313659614904, -0.11039875407126612, -0.1902825683695118, -0.24748126615402344, -0.27756455432849697, -0.2764424430982236, -0.24051505059947295, -0.16682171319703168, -0.05318461250959417, 0.10165814120248184, 0.2979351544285774, 0.5347452689544853, 0.8099868769953209, 1.1203175458212697, 1.461147861394492, 1.8266726078349715, 2.20994142843134, 2.6029699829643573, 2.996891351524441, 3.382146070353027, 3.748707760849352, 4.086339874912749, 4.384877678966088, 4.63452828909247, 4.82618040570904, 4.9517144323096645, 5.004302950297334, 4.978691106882226, 4.871446394123338, 4.681167583597561, 4.408643250603325, 4.056951378890651, 3.6314929719931217, 3.139954385584555, 2.592195196861189, 2.0000607868019387, 1.3771213604058015, 0.738341787489847, 0.09968932118564859, -0.5223111554348345, -1.111062294281281, -1.6504056740890565, -2.1251434940334595, -2.521553377224438, -2.8278783769239437, -3.034774175936221, -3.1356960216762917, -3.1272091646608864, -3.0092084602251585, -2.7850353192931308, -2.4614832942830525, -2.048687174785262, -1.5598944342198044, -1.0111220815638322, -0.4207062823601277, 0.19124364085437284, 0.8034712047685857, 1.394259520542169, 1.9421565179660039, 2.426714004384685, 2.829214415141258, 3.1333585375994417, 3.3258879172043083, 3.3971171110605343, 3.3413534312041433, 3.157185263086841, 2.8476243596960003, 2.420092562908761, 1.8862490193089159, 1.2616599348811683, 0.5653190248287547, -0.18096718120800628, -0.9533093704226755, -1.7265559588948396, -2.475175010377923, -3.174165302223542, -3.799962294203748, -4.3313040962108165, -4.750023268392638, -5.04173243797046, -5.196375236751391, -5.208618847870037, -5.078070337130056, -4.809305717769627, -4.411708096056179, -3.8991189713904864, -3.2893144970648076, -2.6033259143565357, -1.8646301249951427, -1.0982421557049784, -0.32974581732910857, 0.41569805922145253, 1.114324987525506, 1.7446812685447655, 2.2884410571792726, 2.731091379274215, 3.062455789096906, 3.277034094623689, 3.3741434135880817, 3.35785442404169, 3.2367256626688663, 3.023347698806435, 2.7337175598671055, 2.386471503009845, 2.00201074671288, 1.601559771096376, 1.2062000093229603, 0.8359230053875881, 0.5087463172671387, 0.2399326064401699, 0.041347581467246326, -0.07901404332844954, -0.11731336282638688, -0.073950685228111, 0.04655498120975172, 0.23588300186961134, 0.4824078270575915, 0.7718496266756222, 1.0880455636888426, 1.4138024651948473, 1.731787625128127, 2.025412605123154, 2.2796653091042303, 2.481848297508295, 2.622186166176251, 2.694271616467998, 2.695328256140936, 2.62627777462259, 2.4916094418904073, 2.299060352716641, 2.059124925433876, 1.7844213258899015, 1.4889502225947104, 1.1872871559947595, 0.8937534838489467, 0.6216121193379743, 0.38233300998611125, 0.18496955063418793, 0.03568105613758733, -0.06257165718675811, -0.11014019822539459, -0.11060539238709646, -0.0705015229874935, 0.0011362966681349705, 0.09337560552541654, 0.19410593953330813, 0.29083195966839614, 0.371493521688321, 0.42526372160969783, 0.4432766333891141, 0.41923995717921136, 0.3498939691701359, 0.23528670216537978, 0.07884574145976164, -0.11276117576307636, -0.3299720776125814, -0.5608660472387164, -0.7918590356734312, -1.008521106109325, -1.196467875587218, -1.3422734071193398, -1.4343493106726453, -1.4637355568336907, -1.424752529174334, -1.3154709849616735, -1.137966515054409, -0.89833727512201, -0.6064775360895289, -0.2756141931423691, 0.07837206958274365, 0.43780560899334564, 0.7842073939284038, 1.0993626708931357, 1.3664018346604982, 1.5708289856325917, 1.7014339091424098, 1.751028388212751, 1.7169566688806521, 1.6013421149313394, 1.411046984231666, 1.157339018918129, 0.8552762160533534, 0.5228386984759448, 0.17985297598149474, -0.15323194998413128, -0.45664615461579655, -0.7126004172992448, -0.9065076228555153, -1.0280457463494228, -1.0719911268624043, -1.0387621769843567, -0.9346291264111484, -0.7715640659956653, -0.5667264296571277, -0.3416009467423784, -0.12082673731328518, 0.06922369909289007, 0.2020395905355389, 0.252651771453242, 0.19929957200573545, 0.024984064587203817, -0.2811899746951685, -0.7229720997619219, -1.2962984165862197, -1.989052764380428, -2.781288294056549, -3.645914898026443, -4.5498307670792215, -5.455449551102965, -6.3225497805309585, -7.110351895511521, -7.7797117984225785, -8.295309411880138, -8.627707084855908, -8.755156259560124, -8.665041590780119, -8.354869268763904, -7.832729793391267, -7.117193662570645, -6.236629839776395, -5.2279696926930415, -4.134971454612339, -3.0060702390695364, -1.8919244156096957, -0.8427891140697573, 0.09413954419953045, 0.8772611058580346, 1.4728436792068071, 1.8569006081976973], 'positive_zeros': ['1.41591900276470370202155619892589', '1.84716230080749488216895429777671', '3.35957608609103798028880935546077', '4.19906014668698273197896209512074', '5.01525329427013181315505020484750', '6.01435909470002405197314117614884', '7.02185436544126243678578154393367', '7.19467416302504432950695142572311', '8.445296021075978754682106084483027'], 'prelabel': '2-4275-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 5.842606170545588, 'root_angle': 0.5, 'root_number': '-1', 'self_dual': True, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.41591900276470370202155619893', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '1.84716230080749488216895429778', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.35957608609103798028880935546', 'prec': 103}}