{'A10': 0, 'A2': 0, 'A3': -1, 'A4': 0, 'A5': 4, 'A6': 0, 'A7': 0, 'A8': 0, 'A9': 1, 'Lhash': '540215261969683504,1488494258555022664', 'a10': [0.0, 0], 'a2': [0.0, 0], 'a3': [-0.5773502691896257, 0], 'a4': [0.0, 0], 'a5': [1.788854381999832, 0], 'a6': [0.0, 0], 'a7': [0.0, 0], 'a8': [0.0, 0], 'a9': [0.3333333333333333, 0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 4.133425726927948, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[3, [1, 1]], [7, [1]]], 'bad_primes': [3, 7], 'central_character': '64827.1', 'coefficient_field': '1.1.1.1', 'conductor': 64827, 'conductor_radical': 21, 'degree': 4, 'euler_factors': [[1, 0, 0, 0, 4], [1, 1], [1, -4, 14, -20, 25], [1], [1, 0, 18, 0, 121], [1, 0, 25, 0, 169], [1, 0, 34, 0, 289], [1, 0, 37, 0, 361], [1, 0, 46, 0, 529], [1, 0, 42, 0, 841], [1, 0, -19, 0, 961], [1, -6, 83, -222, 1369], [1, -20, 182, -820, 1681], [1, -10, 111, -430, 1849], [1, -12, 130, -564, 2209], [1, 0, -38, 0, 2809], [1, -24, 262, -1416, 3481], [1, 0, 22, 0, 3721], [1, 10, 159, 670, 4489], [1, 0, 106, 0, 5041], [1, 0, 137, 0, 5329], [1, 2, 159, 158, 6241], [1, 12, 202, 996, 6889], [1, 32, 434, 2848, 7921], [1, 0, 158, 0, 9409], [1, 4, 206, 404, 10201], [1, 0, 157, 0, 10609], [1, 0, 150, 0, 11449], [1, -18, 299, -1962, 11881], [1, 0, 126, 0, 12769]], 'gamma_factors': [[], [0, 0]], 'id': 9417706, 'index': 0, 'label': '4-64827-1.1-c1e2-0-0', 'leading_term': '1.60896693494', 'load_key': 'Costa', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [1, 1], 'order_of_vanishing': 0, 'origin': 'EllipticCurve/2.2.21.1/147.1/b', 'plot_delta': {'__RealLiteral__': 0, 'data': '0.05859375', 'prec': 34}, 'plot_values': [1.608966934943083, 1.6088595329275752, 1.608343191285966, 1.60684043287235, 1.6034053684241496, 1.5967490268148676, 1.5852756869155455, 1.56713091318636, 1.5402619666109385, 1.5024910729872034, 1.4516016627706778, 1.3854371416411198, 1.3020110118703851, 1.1996262584906208, 1.0770008736851902, 0.9333952665364953, 0.768736158431982, 0.5837304776271127, 0.37996183342600204, 0.15996147436034494, -0.07275467696516855, -0.3136911621844023, -0.5574278275844506, -0.7977305370946416, -1.0277218877385246, -1.2401133296914906, -1.427496721444755, -1.5826894337149242, -1.6991228120623094, -1.7712593364075468, -1.7950194507676085, -1.7681951005479093, -1.6908238616198232, -1.5654955406092887, -1.3975626205115972, -1.195227227196131, -0.9694806318674007, -0.7338768052143344, -0.5041291860164943, -0.2975294434583535, -0.1321982436269331, -0.026190340059683105, 0.0035110126821487325, -0.05793687092026486, -0.22216149855480047, -0.496561303131461, -0.8834235919416198, -1.3792460714420114, -1.9743293141036866, -2.652697824213979, -3.3923922725222173, -4.166155388896783, -4.942509757741441, -5.687198627852289, -6.364932507363017, -6.941356771669088, -7.385130979532972, -7.669991331842319, -7.776655848323228, -7.6944291802261615, -7.422371796653769, -6.969917151460751, -6.356850087438017, -5.612598970387033, -4.774840735716725, -3.8874691748629018, -2.99802867822645, -2.1547641063320118, -1.4034781471384827, -0.7844163119272584, -0.32941310505932286, -0.059528339915482766, 0.016621148010374464, -0.09632834100244901, -0.3806388231690766, -0.8066149502215875, -1.3346925270028174, -1.9183413837272794, -2.507577468038983, -3.052816830344803, -3.5087616984800736, -3.837991400227561, -4.013941898332885, -4.0229981287622945, -3.8654914143683374, -3.5554853880169546, -3.119340924321618, -2.593164259602346, -2.019352130984893, -1.4425423498731424, -0.9053474041342409, -0.4442839380432539, -0.08630661895356592, 0.1536910354929614, 0.27413165162390823, 0.2866059216735257, 0.21430346927771698, 0.08915465790733362, -0.052041030675301234, -0.17210297310138292, -0.23809191648944938, -0.2255486912329976, -0.12184953259962832, 0.07174617698212869, 0.33965267703602453, 0.6532478877481005, 0.9738328162649912, 1.2569993463634341, 1.4579663080882175, 1.537304177848721, 1.4663875079050943, 1.2319045325266762, 0.838821306339566, 0.3113405681320467, -0.3083982649238532, -0.9638817726007595, -1.5897846059568848, -2.1190135458101, -2.4905057182815256, -2.6569142577112688, -2.591268615793232, -2.291755133276734, -1.7839265074492894, -1.1199040341741182, -0.37445975969799233, 0.36177702344003065, 0.9913934448939831, 1.4206487352979382, 1.5701985253841464, 1.3848775271596274, 0.8413704919672041, -0.04721837813289397, -1.2305805737447346, -2.6244823943302347, -4.117930309628283, -5.5835862835481, -6.890391956334854, -7.917060966177971, -8.564945481747136, -8.768801438944992, -8.504172279990241, -7.790466764073135, -6.689285545020035, -5.298099559317656, -3.739935733703499, -2.1502138104876054, -0.6622393030205498, 0.6069574518042057, 1.5687660203045855, 2.171682222131843, 2.405506692728535, 2.300575737379255, 1.9221634295812622, 1.3608036347308172, 0.7198015408186226, 0.10156610722732486, -0.4054534448217472, -0.7375266753139863, -0.8627065213955225, -0.7833099000961787, -0.5335505011890679, -0.17272738726931716, 0.2250093454212752, 0.5828136526348769, 0.8334428976263539, 0.9298999768742998, 0.8528492890050472, 0.6136995679997265, 0.2528760225820648, -0.16648663356304363, -0.5685115399585937, -0.8767249428944772, -1.0265425938279917, -0.976173578154792, -0.7142181113593178, -0.2627011233877915, 0.3250486778127699, 0.9714889111599688, 1.5859680735263744, 2.0782436425283755, 2.3723920527622875, 2.418964943299287, 2.203447776793083, 1.749584351014852, 1.1168764877427162, 0.3924459637052097, -0.32167491554566324, -0.9240122701598823, -1.3295755837595418, -1.4837821310893098, -1.3721460529922647, -1.0240726556941548, -0.5099512729367105, 0.06825213341078208, 0.5916893621153226, 0.9425386554475806, 1.022487009053232, 0.7689671717572168, 0.16658268051029992, -0.7481879271125245, -1.8899426160242765, -3.1347496978822944, -4.336621909751565, -5.3477388734320055, -6.039452175320899, -6.320917890299934, -6.152498073584682, -5.551821418979867, -4.5914871198772635, -3.3886703740792954, -2.088145242684986, -0.8412807237794017, 0.21578115379014617, 0.9814025334910825, 1.4021986472342096, 1.4791353030680805, 1.265062601104067, 0.8541427607314162, 0.36493858971015264, -0.08003919284496921, -0.37494682840019833, -0.44797848561562664, -0.2726261310061664, 0.12901589949180728, 0.6914037041080936, 1.3182168869566717, 1.9003215666764328, 2.3358688780883523, 2.548984243520972, 2.5037228526173236, 2.210770461146236, 1.7256272645481052, 1.1385156061371893, 0.5577412616236148, 0.08945048973376891, -0.18255999495836267, -0.2132450070372409, -0.005779956395640916, 0.38787531954830656, 0.8757268903775547, 1.3425326488451952, 1.6718307801230075, 1.7693525889462172, 1.5835512361111264, 1.1193188972698307, 0.4420232464045767, -0.32939233156528336, -1.039598249394342, -1.5218475718828492, -1.626719918242759, -1.249789717167436, -0.3533419215747639, 1.0219140412630323, 2.757615628670496, 4.671433394948693, 6.5419028568349145, 8.140668907738622], 'positive_zeros': ['1.15383453307155328641933378040587', '2.43327032489084752763662196914243', '2.47062022887811000287520417928185', '4.18739539622885934722496613081082', '4.23783192793666623809357478808047', '5.40855511243246313730427714163154', '5.72037257717675019727399870072784', '6.01621490934601452163404663717835', '6.65130832285966559117996014877698', '7.29485403540511127428179965078276', '7.67312246287158311998952783143098', '8.583706845901838358159961836151831', '9.092563983560312555964020990816219', '9.459031124333216147077448358276585', '9.879400023159387748546449740681311'], 'prelabel': '4-64827-1.1-c1e2-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 1.4258621299386476, 'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'spectral_label': 'c1e2-0', 'st_group': 'SU(2)', 'symmetry_type': 'symplectic', 'trace_hash': 2028709520524706168, 'z1': {'__RealLiteral__': 0, 'data': '1.15383453307155328641933378040587', 'prec': 113}, 'z2': {'__RealLiteral__': 0, 'data': '2.43327032489084752763662196914243', 'prec': 113}, 'z3': {'__RealLiteral__': 0, 'data': '2.47062022887811000287520417928185', 'prec': 113}}