Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [350,2,Mod(11,350)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(350, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([24, 20]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("350.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 350 = 2 \cdot 5^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 350.q (of order \(15\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.79476407074\) |
Analytic rank: | \(0\) |
Dimension: | \(80\) |
Relative dimension: | \(10\) over \(\Q(\zeta_{15})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 81.10 | ||
Character | \(\chi\) | \(=\) | 350.81 |
Dual form | 350.2.q.c.121.10 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/350\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{2}{5}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.669131 | − | 0.743145i | 0.473147 | − | 0.525483i | ||||
\(3\) | 0.306337 | + | 2.91460i | 0.176864 | + | 1.68275i | 0.618682 | + | 0.785642i | \(0.287667\pi\) |
−0.441818 | + | 0.897105i | \(0.645666\pi\) | |||||||
\(4\) | −0.104528 | − | 0.994522i | −0.0522642 | − | 0.497261i | ||||
\(5\) | 0.374350 | − | 2.20451i | 0.167414 | − | 0.985887i | ||||
\(6\) | 2.37095 | + | 1.72260i | 0.967937 | + | 0.703247i | ||||
\(7\) | 2.62131 | − | 0.358777i | 0.990763 | − | 0.135605i | ||||
\(8\) | −0.809017 | − | 0.587785i | −0.286031 | − | 0.207813i | ||||
\(9\) | −5.46662 | + | 1.16197i | −1.82221 | + | 0.387322i | ||||
\(10\) | −1.38778 | − | 1.75330i | −0.438855 | − | 0.554442i | ||||
\(11\) | 5.82141 | + | 1.23738i | 1.75522 | + | 0.373084i | 0.969423 | − | 0.245397i | \(-0.0789185\pi\) |
0.785799 | + | 0.618481i | \(0.212252\pi\) | |||||||
\(12\) | 2.86661 | − | 0.609318i | 0.827520 | − | 0.175895i | ||||
\(13\) | 0.457017 | − | 1.40655i | 0.126754 | − | 0.390107i | −0.867463 | − | 0.497502i | \(-0.834251\pi\) |
0.994216 | + | 0.107394i | \(0.0342508\pi\) | |||||||
\(14\) | 1.48738 | − | 2.18808i | 0.397518 | − | 0.584790i | ||||
\(15\) | 6.53995 | + | 0.415758i | 1.68861 | + | 0.107348i | ||||
\(16\) | −0.978148 | + | 0.207912i | −0.244537 | + | 0.0519779i | ||||
\(17\) | −5.90587 | + | 2.62946i | −1.43238 | + | 0.637739i | −0.968694 | − | 0.248258i | \(-0.920142\pi\) |
−0.463691 | + | 0.885997i | \(0.653475\pi\) | |||||||
\(18\) | −2.79437 | + | 4.84000i | −0.658640 | + | 1.14080i | ||||
\(19\) | −0.362756 | + | 3.45139i | −0.0832218 | + | 0.791803i | 0.870714 | + | 0.491791i | \(0.163657\pi\) |
−0.953935 | + | 0.300012i | \(0.903009\pi\) | |||||||
\(20\) | −2.23156 | − | 0.141865i | −0.498993 | − | 0.0317220i | ||||
\(21\) | 1.84870 | + | 7.53018i | 0.403419 | + | 1.64322i | ||||
\(22\) | 4.81484 | − | 3.49818i | 1.02653 | − | 0.745815i | ||||
\(23\) | −0.804009 | + | 0.892943i | −0.167648 | + | 0.186191i | −0.821114 | − | 0.570764i | \(-0.806647\pi\) |
0.653467 | + | 0.756955i | \(0.273314\pi\) | |||||||
\(24\) | 1.46533 | − | 2.53802i | 0.299109 | − | 0.518072i | ||||
\(25\) | −4.71972 | − | 1.65052i | −0.943945 | − | 0.330103i | ||||
\(26\) | −0.739468 | − | 1.28080i | −0.145022 | − | 0.251185i | ||||
\(27\) | −2.34443 | − | 7.21541i | −0.451186 | − | 1.38861i | ||||
\(28\) | −0.630814 | − | 2.56945i | −0.119213 | − | 0.485580i | ||||
\(29\) | 5.66526 | − | 4.11605i | 1.05201 | − | 0.764331i | 0.0794175 | − | 0.996841i | \(-0.474694\pi\) |
0.972594 | + | 0.232510i | \(0.0746940\pi\) | |||||||
\(30\) | 4.68505 | − | 4.58193i | 0.855369 | − | 0.836542i | ||||
\(31\) | −2.43917 | + | 1.08599i | −0.438088 | + | 0.195049i | −0.613916 | − | 0.789372i | \(-0.710407\pi\) |
0.175828 | + | 0.984421i | \(0.443740\pi\) | |||||||
\(32\) | −0.500000 | + | 0.866025i | −0.0883883 | + | 0.153093i | ||||
\(33\) | −1.82315 | + | 17.3462i | −0.317370 | + | 3.01958i | ||||
\(34\) | −1.99773 | + | 6.14837i | −0.342607 | + | 1.05444i | ||||
\(35\) | 0.190360 | − | 5.91302i | 0.0321768 | − | 0.999482i | ||||
\(36\) | 1.72702 | + | 5.31522i | 0.287836 | + | 0.885869i | ||||
\(37\) | 1.37237 | − | 0.291705i | 0.225616 | − | 0.0479561i | −0.0937166 | − | 0.995599i | \(-0.529875\pi\) |
0.319332 | + | 0.947643i | \(0.396541\pi\) | |||||||
\(38\) | 2.32215 | + | 2.57901i | 0.376703 | + | 0.418371i | ||||
\(39\) | 4.23954 | + | 0.901142i | 0.678870 | + | 0.144298i | ||||
\(40\) | −1.59863 | + | 1.56345i | −0.252766 | + | 0.247203i | ||||
\(41\) | 1.36788 | − | 4.20992i | 0.213628 | − | 0.657478i | −0.785621 | − | 0.618709i | \(-0.787656\pi\) |
0.999248 | − | 0.0387697i | \(-0.0123439\pi\) | |||||||
\(42\) | 6.83303 | + | 3.66482i | 1.05436 | + | 0.565494i | ||||
\(43\) | −7.31280 | −1.11519 | −0.557596 | − | 0.830113i | \(-0.688276\pi\) | ||||
−0.557596 | + | 0.830113i | \(0.688276\pi\) | |||||||
\(44\) | 0.622098 | − | 5.91886i | 0.0937848 | − | 0.892302i | ||||
\(45\) | 0.515136 | + | 12.4862i | 0.0767919 | + | 1.86133i | ||||
\(46\) | 0.125599 | + | 1.19499i | 0.0185185 | + | 0.176192i | ||||
\(47\) | −5.66313 | − | 2.52139i | −0.826053 | − | 0.367782i | −0.0502334 | − | 0.998738i | \(-0.515997\pi\) |
−0.775819 | + | 0.630955i | \(0.782663\pi\) | |||||||
\(48\) | −0.905623 | − | 2.78722i | −0.130715 | − | 0.402301i | ||||
\(49\) | 6.74256 | − | 1.88093i | 0.963223 | − | 0.268705i | ||||
\(50\) | −4.38468 | + | 2.40303i | −0.620088 | + | 0.339839i | ||||
\(51\) | −9.47303 | − | 16.4078i | −1.32649 | − | 2.29755i | ||||
\(52\) | −1.44662 | − | 0.307488i | −0.200610 | − | 0.0426409i | ||||
\(53\) | −1.00080 | − | 9.52195i | −0.137470 | − | 1.30794i | −0.817999 | − | 0.575220i | \(-0.804917\pi\) |
0.680529 | − | 0.732721i | \(-0.261750\pi\) | |||||||
\(54\) | −6.93082 | − | 3.08580i | −0.943166 | − | 0.419924i | ||||
\(55\) | 4.90706 | − | 12.3701i | 0.661668 | − | 1.66799i | ||||
\(56\) | −2.33157 | − | 1.25051i | −0.311569 | − | 0.167107i | ||||
\(57\) | −10.1705 | −1.34712 | ||||||||
\(58\) | 0.731975 | − | 6.96428i | 0.0961131 | − | 0.914455i | ||||
\(59\) | −4.07903 | − | 4.53022i | −0.531044 | − | 0.589784i | 0.416609 | − | 0.909086i | \(-0.363218\pi\) |
−0.947653 | + | 0.319302i | \(0.896552\pi\) | |||||||
\(60\) | −0.270130 | − | 6.54758i | −0.0348736 | − | 0.845289i | ||||
\(61\) | −5.87475 | + | 6.52457i | −0.752185 | + | 0.835386i | −0.990744 | − | 0.135742i | \(-0.956658\pi\) |
0.238559 | + | 0.971128i | \(0.423325\pi\) | |||||||
\(62\) | −0.825077 | + | 2.53933i | −0.104785 | + | 0.322495i | ||||
\(63\) | −13.9128 | + | 5.00718i | −1.75285 | + | 0.630845i | ||||
\(64\) | 0.309017 | + | 0.951057i | 0.0386271 | + | 0.118882i | ||||
\(65\) | −2.92967 | − | 1.53404i | −0.363381 | − | 0.190274i | ||||
\(66\) | 11.6708 | + | 12.9617i | 1.43657 | + | 1.59548i | ||||
\(67\) | −7.56908 | + | 3.36997i | −0.924710 | + | 0.411707i | −0.813153 | − | 0.582051i | \(-0.802251\pi\) |
−0.111557 | + | 0.993758i | \(0.535584\pi\) | |||||||
\(68\) | 3.23239 | + | 5.59867i | 0.391985 | + | 0.678938i | ||||
\(69\) | −2.84887 | − | 2.06983i | −0.342964 | − | 0.249178i | ||||
\(70\) | −4.26685 | − | 4.09805i | −0.509986 | − | 0.489810i | ||||
\(71\) | 8.21420 | − | 5.96797i | 0.974847 | − | 0.708268i | 0.0182957 | − | 0.999833i | \(-0.494176\pi\) |
0.956551 | + | 0.291565i | \(0.0941760\pi\) | |||||||
\(72\) | 5.10558 | + | 2.27315i | 0.601698 | + | 0.267893i | ||||
\(73\) | 0.344740 | + | 0.0732768i | 0.0403488 | + | 0.00857640i | 0.228042 | − | 0.973651i | \(-0.426768\pi\) |
−0.187693 | + | 0.982228i | \(0.560101\pi\) | |||||||
\(74\) | 0.701513 | − | 1.21506i | 0.0815492 | − | 0.141247i | ||||
\(75\) | 3.36477 | − | 14.2617i | 0.388530 | − | 1.64680i | ||||
\(76\) | 3.47040 | 0.398082 | ||||||||
\(77\) | 15.7037 | + | 1.15497i | 1.78960 | + | 0.131621i | ||||
\(78\) | 3.50649 | − | 2.54761i | 0.397031 | − | 0.288460i | ||||
\(79\) | −9.52004 | − | 4.23860i | −1.07109 | − | 0.476879i | −0.206028 | − | 0.978546i | \(-0.566054\pi\) |
−0.865061 | + | 0.501667i | \(0.832720\pi\) | |||||||
\(80\) | 0.0921738 | + | 2.23417i | 0.0103053 | + | 0.249788i | ||||
\(81\) | 4.99514 | − | 2.22398i | 0.555015 | − | 0.247109i | ||||
\(82\) | −2.21328 | − | 3.83352i | −0.244416 | − | 0.423341i | ||||
\(83\) | 4.84131 | + | 3.51741i | 0.531402 | + | 0.386086i | 0.820882 | − | 0.571098i | \(-0.193482\pi\) |
−0.289480 | + | 0.957184i | \(0.593482\pi\) | |||||||
\(84\) | 7.29568 | − | 2.62569i | 0.796024 | − | 0.286486i | ||||
\(85\) | 3.58581 | + | 14.0039i | 0.388936 | + | 1.51894i | ||||
\(86\) | −4.89322 | + | 5.43447i | −0.527649 | + | 0.586014i | ||||
\(87\) | 13.7321 | + | 15.2511i | 1.47224 | + | 1.63509i | ||||
\(88\) | −3.98231 | − | 4.42280i | −0.424516 | − | 0.471472i | ||||
\(89\) | −0.714003 | + | 0.792981i | −0.0756842 | + | 0.0840558i | −0.779798 | − | 0.626032i | \(-0.784678\pi\) |
0.704113 | + | 0.710088i | \(0.251345\pi\) | |||||||
\(90\) | 9.62375 | + | 7.97208i | 1.01443 | + | 0.840331i | ||||
\(91\) | 0.693344 | − | 3.85098i | 0.0726822 | − | 0.403692i | ||||
\(92\) | 0.972093 | + | 0.706267i | 0.101348 | + | 0.0736334i | ||||
\(93\) | −3.91244 | − | 6.77654i | −0.405701 | − | 0.702694i | ||||
\(94\) | −5.66313 | + | 2.52139i | −0.584107 | + | 0.260061i | ||||
\(95\) | 7.47282 | + | 2.09173i | 0.766695 | + | 0.214606i | ||||
\(96\) | −2.67729 | − | 1.19201i | −0.273250 | − | 0.121659i | ||||
\(97\) | −8.61836 | + | 6.26160i | −0.875062 | + | 0.635770i | −0.931940 | − | 0.362611i | \(-0.881885\pi\) |
0.0568786 | + | 0.998381i | \(0.481885\pi\) | |||||||
\(98\) | 3.11385 | − | 6.26929i | 0.314546 | − | 0.633294i | ||||
\(99\) | −33.2612 | −3.34288 | ||||||||
\(100\) | −1.14813 | + | 4.86639i | −0.114813 | + | 0.486639i | ||||
\(101\) | −4.91028 | + | 8.50486i | −0.488591 | + | 0.846265i | −0.999914 | − | 0.0131240i | \(-0.995822\pi\) |
0.511323 | + | 0.859389i | \(0.329156\pi\) | |||||||
\(102\) | −18.5320 | − | 3.93911i | −1.83495 | − | 0.390030i | ||||
\(103\) | 11.7200 | + | 5.21810i | 1.15481 | + | 0.514154i | 0.892597 | − | 0.450856i | \(-0.148881\pi\) |
0.262213 | + | 0.965010i | \(0.415548\pi\) | |||||||
\(104\) | −1.19648 | + | 0.869297i | −0.117325 | + | 0.0852416i | ||||
\(105\) | 17.2924 | − | 1.25655i | 1.68757 | − | 0.122627i | ||||
\(106\) | −7.74586 | − | 5.62769i | −0.752344 | − | 0.546610i | ||||
\(107\) | 5.69552 | + | 9.86493i | 0.550607 | + | 0.953679i | 0.998231 | + | 0.0594570i | \(0.0189369\pi\) |
−0.447624 | + | 0.894222i | \(0.647730\pi\) | |||||||
\(108\) | −6.93082 | + | 3.08580i | −0.666919 | + | 0.296931i | ||||
\(109\) | −5.50806 | − | 6.11732i | −0.527576 | − | 0.585933i | 0.419172 | − | 0.907907i | \(-0.362320\pi\) |
−0.946749 | + | 0.321974i | \(0.895654\pi\) | |||||||
\(110\) | −5.90935 | − | 11.9239i | −0.563434 | − | 1.13690i | ||||
\(111\) | 1.27061 | + | 3.91054i | 0.120601 | + | 0.371172i | ||||
\(112\) | −2.48944 | + | 0.895939i | −0.235230 | + | 0.0846582i | ||||
\(113\) | −0.287837 | + | 0.885873i | −0.0270775 | + | 0.0833359i | −0.963682 | − | 0.267052i | \(-0.913950\pi\) |
0.936605 | + | 0.350388i | \(0.113950\pi\) | |||||||
\(114\) | −6.80543 | + | 7.55819i | −0.637386 | + | 0.707889i | ||||
\(115\) | 1.66752 | + | 2.10672i | 0.155497 | + | 0.196453i | ||||
\(116\) | −4.68568 | − | 5.20398i | −0.435055 | − | 0.483177i | ||||
\(117\) | −0.863970 | + | 8.22012i | −0.0798741 | + | 0.759951i | ||||
\(118\) | −6.09601 | −0.561183 | ||||||||
\(119\) | −14.5377 | + | 9.01154i | −1.33267 | + | 0.826086i | ||||
\(120\) | −5.04655 | − | 4.18044i | −0.460685 | − | 0.381620i | ||||
\(121\) | 22.3087 | + | 9.93249i | 2.02807 | + | 0.902954i | ||||
\(122\) | 0.917727 | + | 8.73158i | 0.0830871 | + | 0.790521i | ||||
\(123\) | 12.6893 | + | 2.69719i | 1.14415 | + | 0.243197i | ||||
\(124\) | 1.33500 | + | 2.31229i | 0.119887 | + | 0.207650i | ||||
\(125\) | −5.40541 | + | 9.78681i | −0.483474 | + | 0.875359i | ||||
\(126\) | −5.58845 | + | 13.6897i | −0.497858 | + | 1.21958i | ||||
\(127\) | 3.94990 | + | 12.1565i | 0.350497 | + | 1.07872i | 0.958575 | + | 0.284841i | \(0.0919408\pi\) |
−0.608078 | + | 0.793877i | \(0.708059\pi\) | |||||||
\(128\) | 0.913545 | + | 0.406737i | 0.0807468 | + | 0.0359508i | ||||
\(129\) | −2.24018 | − | 21.3139i | −0.197237 | − | 1.87658i | ||||
\(130\) | −3.10035 | + | 1.15070i | −0.271919 | + | 0.100923i | ||||
\(131\) | 2.03941 | − | 19.4037i | 0.178184 | − | 1.69531i | −0.431058 | − | 0.902324i | \(-0.641859\pi\) |
0.609242 | − | 0.792984i | \(-0.291474\pi\) | |||||||
\(132\) | 17.4417 | 1.51811 | ||||||||
\(133\) | 0.287384 | + | 9.17732i | 0.0249194 | + | 0.795774i | ||||
\(134\) | −2.56033 | + | 7.87987i | −0.221178 | + | 0.680717i | ||||
\(135\) | −16.7841 | + | 2.46723i | −1.44454 | + | 0.212345i | ||||
\(136\) | 6.32351 | + | 1.34410i | 0.542237 | + | 0.115256i | ||||
\(137\) | −8.69107 | − | 9.65241i | −0.742528 | − | 0.824661i | 0.246998 | − | 0.969016i | \(-0.420556\pi\) |
−0.989526 | + | 0.144355i | \(0.953889\pi\) | |||||||
\(138\) | −3.44445 | + | 0.732140i | −0.293211 | + | 0.0623239i | ||||
\(139\) | −0.0879688 | − | 0.270740i | −0.00746142 | − | 0.0229639i | 0.947256 | − | 0.320476i | \(-0.103843\pi\) |
−0.954718 | + | 0.297513i | \(0.903843\pi\) | |||||||
\(140\) | −5.90052 | + | 0.428761i | −0.498685 | + | 0.0362369i | ||||
\(141\) | 5.61402 | − | 17.2782i | 0.472786 | − | 1.45508i | ||||
\(142\) | 1.06131 | − | 10.0977i | 0.0890632 | − | 0.847380i | ||||
\(143\) | 4.40092 | − | 7.62262i | 0.368023 | − | 0.637435i | ||||
\(144\) | 5.10558 | − | 2.27315i | 0.425465 | − | 0.189429i | ||||
\(145\) | −6.95308 | − | 14.0300i | −0.577422 | − | 1.16512i | ||||
\(146\) | 0.285132 | − | 0.207160i | 0.0235977 | − | 0.0171447i | ||||
\(147\) | 7.54767 | + | 19.0757i | 0.622521 | + | 1.57334i | ||||
\(148\) | −0.433559 | − | 1.33436i | −0.0356383 | − | 0.109683i | ||||
\(149\) | 7.21713 | + | 12.5004i | 0.591250 | + | 1.02408i | 0.994064 | + | 0.108793i | \(0.0346987\pi\) |
−0.402814 | + | 0.915282i | \(0.631968\pi\) | |||||||
\(150\) | −8.34706 | − | 12.0435i | −0.681535 | − | 0.983346i | ||||
\(151\) | 3.21548 | − | 5.56938i | 0.261672 | − | 0.453230i | −0.705014 | − | 0.709193i | \(-0.749059\pi\) |
0.966686 | + | 0.255964i | \(0.0823927\pi\) | |||||||
\(152\) | 2.32215 | − | 2.57901i | 0.188351 | − | 0.209185i | ||||
\(153\) | 29.2298 | − | 21.2367i | 2.36309 | − | 1.71689i | ||||
\(154\) | 11.3661 | − | 10.8973i | 0.915908 | − | 0.878129i | ||||
\(155\) | 1.48097 | + | 5.78372i | 0.118954 | + | 0.464559i | ||||
\(156\) | 0.453053 | − | 4.31051i | 0.0362733 | − | 0.345117i | ||||
\(157\) | −2.38380 | + | 4.12885i | −0.190248 | + | 0.329518i | −0.945332 | − | 0.326109i | \(-0.894262\pi\) |
0.755085 | + | 0.655627i | \(0.227596\pi\) | |||||||
\(158\) | −9.52004 | + | 4.23860i | −0.757374 | + | 0.337205i | ||||
\(159\) | 27.4461 | − | 5.83385i | 2.17662 | − | 0.462655i | ||||
\(160\) | 1.72199 | + | 1.42645i | 0.136135 | + | 0.112771i | ||||
\(161\) | −1.78719 | + | 2.62914i | −0.140850 | + | 0.207205i | ||||
\(162\) | 1.68966 | − | 5.20024i | 0.132752 | − | 0.408570i | ||||
\(163\) | −10.6637 | + | 2.26665i | −0.835249 | + | 0.177538i | −0.605633 | − | 0.795744i | \(-0.707080\pi\) |
−0.229615 | + | 0.973281i | \(0.573747\pi\) | |||||||
\(164\) | −4.32984 | − | 0.920335i | −0.338103 | − | 0.0718661i | ||||
\(165\) | 37.5573 | + | 10.5127i | 2.92383 | + | 0.818412i | ||||
\(166\) | 5.85341 | − | 1.24418i | 0.454313 | − | 0.0965672i | ||||
\(167\) | −0.814472 | − | 0.591749i | −0.0630257 | − | 0.0457909i | 0.555826 | − | 0.831298i | \(-0.312402\pi\) |
−0.618852 | + | 0.785508i | \(0.712402\pi\) | |||||||
\(168\) | 2.93050 | − | 7.17868i | 0.226093 | − | 0.553847i | ||||
\(169\) | 8.74770 | + | 6.35557i | 0.672900 | + | 0.488890i | ||||
\(170\) | 12.8063 | + | 6.70565i | 0.982198 | + | 0.514300i | ||||
\(171\) | −2.02735 | − | 19.2889i | −0.155035 | − | 1.47506i | ||||
\(172\) | 0.764396 | + | 7.27274i | 0.0582846 | + | 0.554541i | ||||
\(173\) | 0.818415 | − | 0.908942i | 0.0622230 | − | 0.0691056i | −0.711230 | − | 0.702960i | \(-0.751861\pi\) |
0.773453 | + | 0.633854i | \(0.218528\pi\) | |||||||
\(174\) | 20.5223 | 1.55579 | ||||||||
\(175\) | −12.9640 | − | 2.63319i | −0.979989 | − | 0.199050i | ||||
\(176\) | −5.95147 | −0.448609 | ||||||||
\(177\) | 11.9542 | − | 13.2765i | 0.898534 | − | 0.997924i | ||||
\(178\) | 0.111538 | + | 1.06122i | 0.00836015 | + | 0.0795415i | ||||
\(179\) | 0.373872 | + | 3.55716i | 0.0279445 | + | 0.265874i | 0.999569 | + | 0.0293467i | \(0.00934270\pi\) |
−0.971625 | + | 0.236528i | \(0.923991\pi\) | |||||||
\(180\) | 12.3640 | − | 1.81748i | 0.921555 | − | 0.135467i | ||||
\(181\) | −12.0151 | − | 8.72952i | −0.893079 | − | 0.648860i | 0.0436001 | − | 0.999049i | \(-0.486117\pi\) |
−0.936679 | + | 0.350189i | \(0.886117\pi\) | |||||||
\(182\) | −2.39790 | − | 3.09206i | −0.177744 | − | 0.229199i | ||||
\(183\) | −20.8162 | − | 15.1238i | −1.53878 | − | 1.11799i | ||||
\(184\) | 1.17532 | − | 0.249821i | 0.0866454 | − | 0.0184171i | ||||
\(185\) | −0.129322 | − | 3.13459i | −0.00950795 | − | 0.230460i | ||||
\(186\) | −7.65388 | − | 1.62688i | −0.561210 | − | 0.119289i | ||||
\(187\) | −37.6342 | + | 7.99939i | −2.75208 | + | 0.584973i | ||||
\(188\) | −1.91562 | + | 5.89567i | −0.139711 | + | 0.429986i | ||||
\(189\) | −8.73421 | − | 18.0727i | −0.635320 | − | 1.31460i | ||||
\(190\) | 6.55475 | − | 4.15375i | 0.475531 | − | 0.301345i | ||||
\(191\) | 19.6458 | − | 4.17585i | 1.42152 | − | 0.302154i | 0.567922 | − | 0.823083i | \(-0.307748\pi\) |
0.853600 | + | 0.520929i | \(0.174414\pi\) | |||||||
\(192\) | −2.67729 | + | 1.19201i | −0.193217 | + | 0.0860256i | ||||
\(193\) | 1.86568 | − | 3.23145i | 0.134294 | − | 0.232605i | −0.791033 | − | 0.611773i | \(-0.790457\pi\) |
0.925328 | + | 0.379168i | \(0.123790\pi\) | |||||||
\(194\) | −1.11353 | + | 10.5945i | −0.0799467 | + | 0.760642i | ||||
\(195\) | 3.57365 | − | 9.00877i | 0.255914 | − | 0.645131i | ||||
\(196\) | −2.57542 | − | 6.50901i | −0.183959 | − | 0.464929i | ||||
\(197\) | 0.0353552 | − | 0.0256871i | 0.00251896 | − | 0.00183013i | −0.586525 | − | 0.809931i | \(-0.699504\pi\) |
0.589044 | + | 0.808101i | \(0.299504\pi\) | |||||||
\(198\) | −22.2561 | + | 24.7179i | −1.58167 | + | 1.75663i | ||||
\(199\) | −0.225640 | + | 0.390820i | −0.0159952 | + | 0.0277045i | −0.873912 | − | 0.486084i | \(-0.838425\pi\) |
0.857917 | + | 0.513788i | \(0.171758\pi\) | |||||||
\(200\) | 2.84819 | + | 4.10948i | 0.201397 | + | 0.290584i | ||||
\(201\) | −12.1408 | − | 21.0285i | −0.856347 | − | 1.48324i | ||||
\(202\) | 3.03472 | + | 9.33991i | 0.213522 | + | 0.657154i | ||||
\(203\) | 13.3737 | − | 12.8220i | 0.938647 | − | 0.899929i | ||||
\(204\) | −15.3277 | + | 11.1362i | −1.07315 | + | 0.779691i | ||||
\(205\) | −8.76873 | − | 4.59150i | −0.612435 | − | 0.320684i | ||||
\(206\) | 11.7200 | − | 5.21810i | 0.816573 | − | 0.363562i | ||||
\(207\) | 3.35764 | − | 5.81561i | 0.233372 | − | 0.404213i | ||||
\(208\) | −0.154591 | + | 1.47083i | −0.0107190 | + | 0.101984i | ||||
\(209\) | −6.38243 | + | 19.6431i | −0.441482 | + | 1.35874i | ||||
\(210\) | 10.6371 | − | 13.6916i | 0.734028 | − | 0.944807i | ||||
\(211\) | −0.845355 | − | 2.60173i | −0.0581966 | − | 0.179111i | 0.917732 | − | 0.397199i | \(-0.130018\pi\) |
−0.975929 | + | 0.218089i | \(0.930018\pi\) | |||||||
\(212\) | −9.36518 | + | 1.99063i | −0.643203 | + | 0.136717i | ||||
\(213\) | 19.9106 | + | 22.1129i | 1.36425 | + | 1.51515i | ||||
\(214\) | 11.1421 | + | 2.36833i | 0.761660 | + | 0.161896i | ||||
\(215\) | −2.73755 | + | 16.1211i | −0.186699 | + | 1.09945i | ||||
\(216\) | −2.34443 | + | 7.21541i | −0.159518 | + | 0.490946i | ||||
\(217\) | −6.00420 | + | 3.72184i | −0.407592 | + | 0.252655i | ||||
\(218\) | −8.23166 | −0.557519 | ||||||||
\(219\) | −0.107966 | + | 1.02723i | −0.00729567 | + | 0.0694137i | ||||
\(220\) | −12.8153 | − | 3.58715i | −0.864008 | − | 0.241845i | ||||
\(221\) | 0.999397 | + | 9.50863i | 0.0672267 | + | 0.639619i | ||||
\(222\) | 3.75630 | + | 1.67241i | 0.252107 | + | 0.112245i | ||||
\(223\) | −0.708459 | − | 2.18041i | −0.0474419 | − | 0.146011i | 0.924529 | − | 0.381111i | \(-0.124458\pi\) |
−0.971971 | + | 0.235100i | \(0.924458\pi\) | |||||||
\(224\) | −0.999946 | + | 2.44951i | −0.0668117 | + | 0.163665i | ||||
\(225\) | 27.7188 | + | 3.53859i | 1.84792 | + | 0.235906i | ||||
\(226\) | 0.465731 | + | 0.806669i | 0.0309800 | + | 0.0536588i | ||||
\(227\) | 17.8693 | + | 3.79824i | 1.18603 | + | 0.252098i | 0.758359 | − | 0.651837i | \(-0.226002\pi\) |
0.427669 | + | 0.903935i | \(0.359335\pi\) | |||||||
\(228\) | 1.06311 | + | 10.1148i | 0.0704063 | + | 0.669871i | ||||
\(229\) | 0.502371 | + | 0.223670i | 0.0331976 | + | 0.0147805i | 0.423268 | − | 0.906004i | \(-0.360883\pi\) |
−0.390071 | + | 0.920785i | \(0.627549\pi\) | |||||||
\(230\) | 2.68139 | + | 0.170461i | 0.176805 | + | 0.0112399i | ||||
\(231\) | 1.44435 | + | 46.1238i | 0.0950312 | + | 3.03472i | ||||
\(232\) | −7.00264 | −0.459746 | ||||||||
\(233\) | 2.47371 | − | 23.5358i | 0.162058 | − | 1.54188i | −0.547243 | − | 0.836974i | \(-0.684323\pi\) |
0.709301 | − | 0.704906i | \(-0.249011\pi\) | |||||||
\(234\) | 5.53063 | + | 6.14239i | 0.361549 | + | 0.401541i | ||||
\(235\) | −7.67842 | + | 11.5405i | −0.500885 | + | 0.752822i | ||||
\(236\) | −4.07903 | + | 4.53022i | −0.265522 | + | 0.294892i | ||||
\(237\) | 9.43748 | − | 29.0456i | 0.613030 | − | 1.88671i | ||||
\(238\) | −3.03077 | + | 16.8335i | −0.196456 | + | 1.09116i | ||||
\(239\) | −3.03903 | − | 9.35318i | −0.196579 | − | 0.605007i | −0.999955 | − | 0.00953457i | \(-0.996965\pi\) |
0.803376 | − | 0.595472i | \(-0.203035\pi\) | |||||||
\(240\) | −6.48347 | + | 0.953058i | −0.418506 | + | 0.0615196i | ||||
\(241\) | 8.94220 | + | 9.93132i | 0.576018 | + | 0.639733i | 0.958792 | − | 0.284109i | \(-0.0916979\pi\) |
−0.382774 | + | 0.923842i | \(0.625031\pi\) | |||||||
\(242\) | 22.3087 | − | 9.93249i | 1.43406 | − | 0.638485i | ||||
\(243\) | −3.36789 | − | 5.83335i | −0.216050 | − | 0.374210i | ||||
\(244\) | 7.10291 | + | 5.16057i | 0.454717 | + | 0.330371i | ||||
\(245\) | −1.62246 | − | 15.5682i | −0.103655 | − | 0.994613i | ||||
\(246\) | 10.4952 | − | 7.62519i | 0.669148 | − | 0.486164i | ||||
\(247\) | 4.68877 | + | 2.08758i | 0.298339 | + | 0.132829i | ||||
\(248\) | 2.61166 | + | 0.555126i | 0.165841 | + | 0.0352505i | ||||
\(249\) | −8.76879 | + | 15.1880i | −0.555700 | + | 0.962500i | ||||
\(250\) | 3.65609 | + | 10.5657i | 0.231231 | + | 0.668230i | ||||
\(251\) | 16.6006 | 1.04782 | 0.523911 | − | 0.851773i | \(-0.324472\pi\) | ||||
0.523911 | + | 0.851773i | \(0.324472\pi\) | |||||||
\(252\) | 6.43403 | + | 13.3132i | 0.405306 | + | 0.838654i | ||||
\(253\) | −5.78538 | + | 4.20332i | −0.363724 | + | 0.264261i | ||||
\(254\) | 11.6771 | + | 5.19896i | 0.732684 | + | 0.326212i | ||||
\(255\) | −39.7173 | + | 14.7411i | −2.48719 | + | 0.923126i | ||||
\(256\) | 0.913545 | − | 0.406737i | 0.0570966 | − | 0.0254210i | ||||
\(257\) | 13.9627 | + | 24.1841i | 0.870970 | + | 1.50857i | 0.860994 | + | 0.508615i | \(0.169842\pi\) |
0.00997635 | + | 0.999950i | \(0.496824\pi\) | |||||||
\(258\) | −17.3383 | − | 12.5970i | −1.07943 | − | 0.784255i | ||||
\(259\) | 3.49274 | − | 1.25702i | 0.217029 | − | 0.0781077i | ||||
\(260\) | −1.21940 | + | 3.07398i | −0.0756241 | + | 0.190640i | ||||
\(261\) | −26.1871 | + | 29.0837i | −1.62094 | + | 1.80024i | ||||
\(262\) | −13.0551 | − | 14.4992i | −0.806548 | − | 0.895763i | ||||
\(263\) | 5.31163 | + | 5.89916i | 0.327529 | + | 0.363758i | 0.884309 | − | 0.466902i | \(-0.154630\pi\) |
−0.556780 | + | 0.830660i | \(0.687963\pi\) | |||||||
\(264\) | 11.6708 | − | 12.9617i | 0.718287 | − | 0.797738i | ||||
\(265\) | −21.3659 | − | 1.35828i | −1.31250 | − | 0.0834382i | ||||
\(266\) | 7.01237 | + | 5.92725i | 0.429956 | + | 0.363423i | ||||
\(267\) | −2.52995 | − | 1.83812i | −0.154830 | − | 0.112491i | ||||
\(268\) | 4.14269 | + | 7.17536i | 0.253055 | + | 0.438305i | ||||
\(269\) | 18.7861 | − | 8.36412i | 1.14541 | − | 0.509970i | 0.255818 | − | 0.966725i | \(-0.417655\pi\) |
0.889592 | + | 0.456755i | \(0.150989\pi\) | |||||||
\(270\) | −9.39723 | + | 14.1239i | −0.571897 | + | 0.859553i | ||||
\(271\) | −4.83484 | − | 2.15261i | −0.293696 | − | 0.130762i | 0.254600 | − | 0.967047i | \(-0.418056\pi\) |
−0.548295 | + | 0.836285i | \(0.684723\pi\) | |||||||
\(272\) | 5.23012 | − | 3.79990i | 0.317123 | − | 0.230403i | ||||
\(273\) | 11.4365 | + | 0.841125i | 0.692167 | + | 0.0509072i | ||||
\(274\) | −12.9886 | −0.784670 | ||||||||
\(275\) | −25.4331 | − | 15.4484i | −1.53368 | − | 0.931575i | ||||
\(276\) | −1.76070 | + | 3.04962i | −0.105982 | + | 0.183566i | ||||
\(277\) | −22.5295 | − | 4.78879i | −1.35367 | − | 0.287731i | −0.526733 | − | 0.850031i | \(-0.676583\pi\) |
−0.826933 | + | 0.562300i | \(0.809916\pi\) | |||||||
\(278\) | −0.260062 | − | 0.115787i | −0.0155975 | − | 0.00694444i | ||||
\(279\) | 12.0721 | − | 8.77093i | 0.722741 | − | 0.525102i | ||||
\(280\) | −3.62959 | + | 4.67184i | −0.216909 | + | 0.279196i | ||||
\(281\) | 23.1389 | + | 16.8114i | 1.38035 | + | 1.00288i | 0.996847 | + | 0.0793422i | \(0.0252820\pi\) |
0.383502 | + | 0.923540i | \(0.374718\pi\) | |||||||
\(282\) | −9.08367 | − | 15.7334i | −0.540925 | − | 0.936909i | ||||
\(283\) | −15.1425 | + | 6.74187i | −0.900128 | + | 0.400763i | −0.804016 | − | 0.594608i | \(-0.797307\pi\) |
−0.0961118 | + | 0.995371i | \(0.530641\pi\) | |||||||
\(284\) | −6.79389 | − | 7.54538i | −0.403143 | − | 0.447736i | ||||
\(285\) | −3.80734 | + | 22.4211i | −0.225528 | + | 1.32811i | ||||
\(286\) | −2.71992 | − | 8.37105i | −0.160832 | − | 0.494990i | ||||
\(287\) | 2.07523 | − | 11.5263i | 0.122497 | − | 0.680374i | ||||
\(288\) | 1.72702 | − | 5.31522i | 0.101766 | − | 0.313202i | ||||
\(289\) | 16.5900 | − | 18.4251i | 0.975884 | − | 1.08383i | ||||
\(290\) | −15.0788 | − | 4.22072i | −0.885458 | − | 0.247849i | ||||
\(291\) | −20.8902 | − | 23.2009i | −1.22461 | − | 1.36006i | ||||
\(292\) | 0.0368402 | − | 0.350511i | 0.00215591 | − | 0.0205121i | ||||
\(293\) | −24.7917 | −1.44835 | −0.724173 | − | 0.689618i | \(-0.757778\pi\) | ||||
−0.724173 | + | 0.689618i | \(0.757778\pi\) | |||||||
\(294\) | 19.2264 | + | 7.15510i | 1.12130 | + | 0.417294i | ||||
\(295\) | −11.5139 | + | 7.29636i | −0.670365 | + | 0.424811i | ||||
\(296\) | −1.28173 | − | 0.570662i | −0.0744989 | − | 0.0331691i | ||||
\(297\) | −4.71969 | − | 44.9048i | −0.273864 | − | 2.60564i | ||||
\(298\) | 14.1188 | + | 3.00105i | 0.817882 | + | 0.173846i | ||||
\(299\) | 0.888525 | + | 1.53897i | 0.0513847 | + | 0.0890010i | ||||
\(300\) | −14.5353 | − | 1.85558i | −0.839197 | − | 0.107132i | ||||
\(301\) | −19.1691 | + | 2.62367i | −1.10489 | + | 0.151226i | ||||
\(302\) | −1.98728 | − | 6.11621i | −0.114355 | − | 0.351948i | ||||
\(303\) | −26.2925 | − | 11.7062i | −1.51046 | − | 0.672501i | ||||
\(304\) | −0.362756 | − | 3.45139i | −0.0208055 | − | 0.197951i | ||||
\(305\) | 12.1843 | + | 15.3934i | 0.697669 | + | 0.881425i | ||||
\(306\) | 3.77662 | − | 35.9321i | 0.215895 | − | 2.05410i | ||||
\(307\) | 4.29982 | 0.245404 | 0.122702 | − | 0.992444i | \(-0.460844\pi\) | ||||
0.122702 | + | 0.992444i | \(0.460844\pi\) | |||||||
\(308\) | −0.492841 | − | 15.7384i | −0.0280822 | − | 0.896778i | ||||
\(309\) | −11.6184 | + | 35.7577i | −0.660947 | + | 2.03419i | ||||
\(310\) | 5.28910 | + | 2.76949i | 0.300401 | + | 0.157296i | ||||
\(311\) | 22.3838 | + | 4.75783i | 1.26927 | + | 0.269792i | 0.792845 | − | 0.609424i | \(-0.208599\pi\) |
0.476425 | + | 0.879215i | \(0.341932\pi\) | |||||||
\(312\) | −2.90018 | − | 3.22098i | −0.164191 | − | 0.182352i | ||||
\(313\) | 24.0724 | − | 5.11674i | 1.36065 | − | 0.289215i | 0.530941 | − | 0.847409i | \(-0.321839\pi\) |
0.829711 | + | 0.558193i | \(0.188505\pi\) | |||||||
\(314\) | 1.47327 | + | 4.53425i | 0.0831412 | + | 0.255882i | ||||
\(315\) | 5.83010 | + | 32.5454i | 0.328489 | + | 1.83373i | ||||
\(316\) | −3.22026 | + | 9.91095i | −0.181154 | + | 0.557534i | ||||
\(317\) | −1.41080 | + | 13.4229i | −0.0792386 | + | 0.753905i | 0.880696 | + | 0.473682i | \(0.157075\pi\) |
−0.959935 | + | 0.280224i | \(0.909591\pi\) | |||||||
\(318\) | 14.0296 | − | 24.3001i | 0.786743 | − | 1.36268i | ||||
\(319\) | 38.0729 | − | 16.9511i | 2.13167 | − | 0.949082i | ||||
\(320\) | 2.21229 | − | 0.325203i | 0.123671 | − | 0.0181794i | ||||
\(321\) | −27.0076 | + | 19.6222i | −1.50742 | + | 1.09520i | ||||
\(322\) | 0.757969 | + | 3.08738i | 0.0422399 | + | 0.172053i | ||||
\(323\) | −6.93291 | − | 21.3373i | −0.385758 | − | 1.18724i | ||||
\(324\) | −2.73393 | − | 4.73531i | −0.151885 | − | 0.263073i | ||||
\(325\) | −4.47853 | + | 5.88423i | −0.248424 | + | 0.326398i | ||||
\(326\) | −5.45099 | + | 9.44139i | −0.301902 | + | 0.522910i | ||||
\(327\) | 16.1422 | − | 17.9278i | 0.892667 | − | 0.991407i | ||||
\(328\) | −3.58117 | + | 2.60187i | −0.197737 | + | 0.143664i | ||||
\(329\) | −15.7495 | − | 4.57755i | −0.868296 | − | 0.252368i | ||||
\(330\) | 32.9432 | − | 20.8761i | 1.81346 | − | 1.14919i | ||||
\(331\) | −1.32519 | + | 12.6083i | −0.0728389 | + | 0.693016i | 0.895785 | + | 0.444487i | \(0.146614\pi\) |
−0.968624 | + | 0.248529i | \(0.920053\pi\) | |||||||
\(332\) | 2.99209 | − | 5.18245i | 0.164212 | − | 0.284424i | ||||
\(333\) | −7.16325 | + | 3.18929i | −0.392544 | + | 0.174772i | ||||
\(334\) | −0.984743 | + | 0.209314i | −0.0538827 | + | 0.0114531i | ||||
\(335\) | 4.59565 | + | 17.9477i | 0.251087 | + | 0.980585i | ||||
\(336\) | −3.37391 | − | 6.98126i | −0.184062 | − | 0.380859i | ||||
\(337\) | −8.64421 | + | 26.6041i | −0.470880 | + | 1.44922i | 0.380555 | + | 0.924758i | \(0.375733\pi\) |
−0.851434 | + | 0.524461i | \(0.824267\pi\) | |||||||
\(338\) | 10.5765 | − | 2.24810i | 0.575284 | − | 0.122280i | ||||
\(339\) | −2.67014 | − | 0.567556i | −0.145022 | − | 0.0308254i | ||||
\(340\) | 13.5524 | − | 5.02998i | 0.734980 | − | 0.272789i | ||||
\(341\) | −15.5432 | + | 3.30381i | −0.841712 | + | 0.178911i | ||||
\(342\) | −15.6910 | − | 11.4002i | −0.848474 | − | 0.616453i | ||||
\(343\) | 16.9995 | − | 7.34959i | 0.917887 | − | 0.396841i | ||||
\(344\) | 5.91618 | + | 4.29836i | 0.318979 | + | 0.231752i | ||||
\(345\) | −5.62942 | + | 5.50552i | −0.303078 | + | 0.296407i | ||||
\(346\) | −0.127849 | − | 1.21640i | −0.00687321 | − | 0.0653942i | ||||
\(347\) | −2.63437 | − | 25.0644i | −0.141420 | − | 1.34553i | −0.803147 | − | 0.595780i | \(-0.796843\pi\) |
0.661727 | − | 0.749745i | \(-0.269824\pi\) | |||||||
\(348\) | 13.7321 | − | 15.2511i | 0.736119 | − | 0.817543i | ||||
\(349\) | 13.7969 | 0.738532 | 0.369266 | − | 0.929324i | \(-0.379609\pi\) | ||||
0.369266 | + | 0.929324i | \(0.379609\pi\) | |||||||
\(350\) | −10.6315 | + | 7.87221i | −0.568276 | + | 0.420787i | ||||
\(351\) | −11.2203 | −0.598895 | ||||||||
\(352\) | −3.98231 | + | 4.42280i | −0.212258 | + | 0.235736i | ||||
\(353\) | −0.916362 | − | 8.71860i | −0.0487730 | − | 0.464044i | −0.991464 | − | 0.130378i | \(-0.958381\pi\) |
0.942691 | − | 0.333666i | \(-0.108286\pi\) | |||||||
\(354\) | −1.86743 | − | 17.7674i | −0.0992529 | − | 0.944329i | ||||
\(355\) | −10.0815 | − | 20.3424i | −0.535068 | − | 1.07966i | ||||
\(356\) | 0.863271 | + | 0.627203i | 0.0457533 | + | 0.0332417i | ||||
\(357\) | −30.7185 | − | 39.6112i | −1.62580 | − | 2.09645i | ||||
\(358\) | 2.89365 | + | 2.10236i | 0.152934 | + | 0.111113i | ||||
\(359\) | 20.8034 | − | 4.42190i | 1.09796 | − | 0.233379i | 0.376902 | − | 0.926253i | \(-0.376989\pi\) |
0.721058 | + | 0.692874i | \(0.243656\pi\) | |||||||
\(360\) | 6.92245 | − | 10.4043i | 0.364845 | − | 0.548357i | ||||
\(361\) | 6.80432 | + | 1.44630i | 0.358122 | + | 0.0761212i | ||||
\(362\) | −14.5270 | + | 3.08781i | −0.763522 | + | 0.162292i | ||||
\(363\) | −22.1153 | + | 68.0638i | −1.16075 | + | 3.57242i | ||||
\(364\) | −3.90236 | − | 0.287009i | −0.204539 | − | 0.0150434i | ||||
\(365\) | 0.290593 | − | 0.732552i | 0.0152103 | − | 0.0383435i | ||||
\(366\) | −25.1680 | + | 5.34962i | −1.31555 | + | 0.279629i | ||||
\(367\) | 8.62151 | − | 3.83854i | 0.450039 | − | 0.200370i | −0.169185 | − | 0.985584i | \(-0.554114\pi\) |
0.619225 | + | 0.785214i | \(0.287447\pi\) | |||||||
\(368\) | 0.600786 | − | 1.04059i | 0.0313182 | − | 0.0542446i | ||||
\(369\) | −2.58593 | + | 24.6034i | −0.134618 | + | 1.28080i | ||||
\(370\) | −2.41599 | − | 2.00135i | −0.125601 | − | 0.104045i | ||||
\(371\) | −6.03966 | − | 24.6010i | −0.313564 | − | 1.27722i | ||||
\(372\) | −6.33045 | + | 4.59934i | −0.328219 | + | 0.238465i | ||||
\(373\) | 14.3700 | − | 15.9595i | 0.744052 | − | 0.826353i | −0.245671 | − | 0.969353i | \(-0.579008\pi\) |
0.989723 | + | 0.143000i | \(0.0456750\pi\) | |||||||
\(374\) | −19.2375 | + | 33.3203i | −0.994746 | + | 1.72295i | ||||
\(375\) | −30.1805 | − | 12.7566i | −1.55852 | − | 0.658745i | ||||
\(376\) | 3.09954 | + | 5.36855i | 0.159846 | + | 0.276862i | ||||
\(377\) | −3.20032 | − | 9.84958i | −0.164825 | − | 0.507279i | ||||
\(378\) | −19.2750 | − | 5.60223i | −0.991397 | − | 0.288148i | ||||
\(379\) | 3.04868 | − | 2.21500i | 0.156600 | − | 0.113777i | −0.506726 | − | 0.862107i | \(-0.669144\pi\) |
0.663326 | + | 0.748331i | \(0.269144\pi\) | |||||||
\(380\) | 1.29914 | − | 7.65053i | 0.0666447 | − | 0.392464i | ||||
\(381\) | −34.2215 | + | 15.2364i | −1.75322 | + | 0.780583i | ||||
\(382\) | 10.0424 | − | 17.3939i | 0.513812 | − | 0.889948i | ||||
\(383\) | −2.26167 | + | 21.5183i | −0.115566 | + | 1.09953i | 0.770969 | + | 0.636873i | \(0.219772\pi\) |
−0.886535 | + | 0.462662i | \(0.846894\pi\) | |||||||
\(384\) | −0.905623 | + | 2.78722i | −0.0462149 | + | 0.142235i | ||||
\(385\) | 8.42481 | − | 34.1866i | 0.429368 | − | 1.74231i | ||||
\(386\) | −1.15305 | − | 3.54873i | −0.0586888 | − | 0.180625i | ||||
\(387\) | 39.9763 | − | 8.49722i | 2.03211 | − | 0.431938i | ||||
\(388\) | 7.12817 | + | 7.91663i | 0.361878 | + | 0.401906i | ||||
\(389\) | −18.3825 | − | 3.90732i | −0.932029 | − | 0.198109i | −0.283216 | − | 0.959056i | \(-0.591401\pi\) |
−0.648814 | + | 0.760947i | \(0.724735\pi\) | |||||||
\(390\) | −4.30358 | − | 8.68378i | −0.217920 | − | 0.439720i | ||||
\(391\) | 2.40042 | − | 7.38772i | 0.121394 | − | 0.373613i | ||||
\(392\) | −6.56043 | − | 2.44147i | −0.331352 | − | 0.123313i | ||||
\(393\) | 57.1788 | 2.88429 | ||||||||
\(394\) | 0.00456805 | − | 0.0434621i | 0.000230135 | − | 0.00218959i | ||||
\(395\) | −12.9079 | + | 19.4003i | −0.649465 | + | 0.976136i | ||||
\(396\) | 3.47675 | + | 33.0790i | 0.174713 | + | 1.66228i | ||||
\(397\) | −7.05780 | − | 3.14234i | −0.354221 | − | 0.157709i | 0.221909 | − | 0.975067i | \(-0.428771\pi\) |
−0.576130 | + | 0.817358i | \(0.695438\pi\) | |||||||
\(398\) | 0.139453 | + | 0.429193i | 0.00699017 | + | 0.0215135i | ||||
\(399\) | −26.6602 | + | 3.64896i | −1.33468 | + | 0.182677i | ||||
\(400\) | 4.95975 | + | 0.633163i | 0.247987 | + | 0.0316581i | ||||
\(401\) | 3.57000 | + | 6.18342i | 0.178277 | + | 0.308785i | 0.941291 | − | 0.337598i | \(-0.109614\pi\) |
−0.763013 | + | 0.646383i | \(0.776281\pi\) | |||||||
\(402\) | −23.7510 | − | 5.04843i | −1.18459 | − | 0.251793i | ||||
\(403\) | 0.412759 | + | 3.92714i | 0.0205610 | + | 0.195625i | ||||
\(404\) | 8.97153 | + | 3.99438i | 0.446350 | + | 0.198728i | ||||
\(405\) | −3.03285 | − | 11.8444i | −0.150704 | − | 0.588552i | ||||
\(406\) | −0.579889 | − | 18.5182i | −0.0287794 | − | 0.919041i | ||||
\(407\) | 8.35006 | 0.413897 | ||||||||
\(408\) | −1.98040 | + | 18.8423i | −0.0980445 | + | 0.932831i | ||||
\(409\) | −15.0284 | − | 16.6907i | −0.743105 | − | 0.825302i | 0.246495 | − | 0.969144i | \(-0.420721\pi\) |
−0.989601 | + | 0.143842i | \(0.954054\pi\) | |||||||
\(410\) | −9.27957 | + | 3.44413i | −0.458285 | + | 0.170093i | ||||
\(411\) | 25.4705 | − | 28.2879i | 1.25637 | − | 1.39534i | ||||
\(412\) | 3.96443 | − | 12.2013i | 0.195314 | − | 0.601113i | ||||
\(413\) | −12.3177 | − | 10.4117i | −0.606116 | − | 0.512324i | ||||
\(414\) | −2.07514 | − | 6.38662i | −0.101987 | − | 0.313885i | ||||
\(415\) | 9.56652 | − | 9.35596i | 0.469602 | − | 0.459266i | ||||
\(416\) | 0.989602 | + | 1.09906i | 0.0485192 | + | 0.0538860i | ||||
\(417\) | 0.762152 | − | 0.339332i | 0.0373227 | − | 0.0166172i | ||||
\(418\) | 10.3270 | + | 17.8869i | 0.505109 | + | 0.874875i | ||||
\(419\) | −18.9052 | − | 13.7355i | −0.923581 | − | 0.671021i | 0.0208320 | − | 0.999783i | \(-0.493369\pi\) |
−0.944413 | + | 0.328762i | \(0.893369\pi\) | |||||||
\(420\) | −3.05722 | − | 17.0663i | −0.149177 | − | 0.832752i | ||||
\(421\) | 0.109993 | − | 0.0799144i | 0.00536072 | − | 0.00389479i | −0.585102 | − | 0.810960i | \(-0.698945\pi\) |
0.590462 | + | 0.807065i | \(0.298945\pi\) | |||||||
\(422\) | −2.49912 | − | 1.11268i | −0.121655 | − | 0.0541644i | ||||
\(423\) | 33.8880 | + | 7.20311i | 1.64769 | + | 0.350227i | ||||
\(424\) | −4.78720 | + | 8.29168i | −0.232487 | + | 0.402679i | ||||
\(425\) | 32.2141 | − | 2.66261i | 1.56261 | − | 0.129155i | ||||
\(426\) | 29.7559 | 1.44168 | ||||||||
\(427\) | −13.0587 | + | 19.2107i | −0.631955 | + | 0.929670i | ||||
\(428\) | 9.21555 | − | 6.69549i | 0.445450 | − | 0.323639i | ||||
\(429\) | 23.5651 | + | 10.4918i | 1.13773 | + | 0.506551i | ||||
\(430\) | 10.1486 | + | 12.8215i | 0.489407 | + | 0.618309i | ||||
\(431\) | −22.7977 | + | 10.1502i | −1.09813 | + | 0.488918i | −0.874140 | − | 0.485674i | \(-0.838574\pi\) |
−0.223988 | + | 0.974592i | \(0.571908\pi\) | |||||||
\(432\) | 3.79337 | + | 6.57030i | 0.182508 | + | 0.316114i | ||||
\(433\) | −5.03607 | − | 3.65892i | −0.242018 | − | 0.175836i | 0.460164 | − | 0.887834i | \(-0.347791\pi\) |
−0.702182 | + | 0.711998i | \(0.747791\pi\) | |||||||
\(434\) | −1.25173 | + | 6.95239i | −0.0600851 | + | 0.333725i | ||||
\(435\) | 38.7617 | − | 24.5634i | 1.85848 | − | 1.17772i | ||||
\(436\) | −5.50806 | + | 6.11732i | −0.263788 | + | 0.292966i | ||||
\(437\) | −2.79023 | − | 3.09887i | −0.133475 | − | 0.148239i | ||||
\(438\) | 0.691136 | + | 0.767584i | 0.0330238 | + | 0.0366766i | ||||
\(439\) | −16.1732 | + | 17.9621i | −0.771903 | + | 0.857285i | −0.993018 | − | 0.117963i | \(-0.962364\pi\) |
0.221115 | + | 0.975248i | \(0.429030\pi\) | |||||||
\(440\) | −11.2409 | + | 7.12336i | −0.535888 | + | 0.339593i | ||||
\(441\) | −34.6734 | + | 18.1170i | −1.65112 | + | 0.862713i | ||||
\(442\) | 7.73501 | + | 5.61982i | 0.367917 | + | 0.267307i | ||||
\(443\) | 7.64049 | + | 13.2337i | 0.363010 | + | 0.628753i | 0.988455 | − | 0.151516i | \(-0.0484156\pi\) |
−0.625444 | + | 0.780269i | \(0.715082\pi\) | |||||||
\(444\) | 3.75630 | − | 1.67241i | 0.178266 | − | 0.0793693i | ||||
\(445\) | 1.48085 | + | 1.87088i | 0.0701989 | + | 0.0886882i | ||||
\(446\) | −2.09441 | − | 0.932493i | −0.0991734 | − | 0.0441548i | ||||
\(447\) | −34.2229 | + | 24.8644i | −1.61869 | + | 1.17605i | ||||
\(448\) | 1.15125 | + | 2.38215i | 0.0543913 | + | 0.112546i | ||||
\(449\) | −20.3492 | −0.960339 | −0.480169 | − | 0.877176i | \(-0.659425\pi\) | ||||
−0.480169 | + | 0.877176i | \(0.659425\pi\) | |||||||
\(450\) | 21.1772 | − | 18.2313i | 0.998301 | − | 0.859431i | ||||
\(451\) | 13.1723 | − | 22.8151i | 0.620259 | − | 1.07432i | ||||
\(452\) | 0.911107 | + | 0.193662i | 0.0428549 | + | 0.00910908i | ||||
\(453\) | 17.2175 | + | 7.66574i | 0.808951 | + | 0.360168i | ||||
\(454\) | 14.7795 | − | 10.7380i | 0.693638 | − | 0.503958i | ||||
\(455\) | −8.22997 | − | 2.97010i | −0.385827 | − | 0.139240i | ||||
\(456\) | 8.22815 | + | 5.97810i | 0.385318 | + | 0.279950i | ||||
\(457\) | −10.8338 | − | 18.7646i | −0.506782 | − | 0.877773i | −0.999969 | − | 0.00784937i | \(-0.997501\pi\) |
0.493187 | − | 0.869923i | \(-0.335832\pi\) | |||||||
\(458\) | 0.502371 | − | 0.223670i | 0.0234743 | − | 0.0104514i | ||||
\(459\) | 32.8186 | + | 36.4487i | 1.53184 | + | 1.70128i | ||||
\(460\) | 1.92087 | − | 1.87860i | 0.0895613 | − | 0.0875900i | ||||
\(461\) | 0.376041 | + | 1.15734i | 0.0175140 | + | 0.0539025i | 0.959432 | − | 0.281942i | \(-0.0909784\pi\) |
−0.941918 | + | 0.335844i | \(0.890978\pi\) | |||||||
\(462\) | 35.2431 | + | 29.7895i | 1.63966 | + | 1.38593i | ||||
\(463\) | 0.317916 | − | 0.978445i | 0.0147748 | − | 0.0454722i | −0.943397 | − | 0.331665i | \(-0.892390\pi\) |
0.958172 | + | 0.286193i | \(0.0923897\pi\) | |||||||
\(464\) | −4.68568 | + | 5.20398i | −0.217527 | + | 0.241589i | ||||
\(465\) | −16.4036 | + | 6.08821i | −0.760697 | + | 0.282334i | ||||
\(466\) | −15.8352 | − | 17.5868i | −0.733554 | − | 0.814694i | ||||
\(467\) | −1.34425 | + | 12.7897i | −0.0622043 | + | 0.591835i | 0.918375 | + | 0.395711i | \(0.129502\pi\) |
−0.980579 | + | 0.196123i | \(0.937165\pi\) | |||||||
\(468\) | 8.26540 | 0.382068 | ||||||||
\(469\) | −18.6319 | + | 11.5494i | −0.860339 | + | 0.533300i | ||||
\(470\) | 3.43843 | + | 13.4283i | 0.158603 | + | 0.619402i | ||||
\(471\) | −12.7642 | − | 5.68299i | −0.588144 | − | 0.261859i | ||||
\(472\) | 0.637206 | + | 6.06261i | 0.0293298 | + | 0.279054i | ||||
\(473\) | −42.5708 | − | 9.04871i | −1.95741 | − | 0.416060i | ||||
\(474\) | −15.2702 | − | 26.4487i | −0.701382 | − | 1.21483i | ||||
\(475\) | 7.40868 | − | 15.6909i | 0.339933 | − | 0.719946i | ||||
\(476\) | 10.4818 | + | 13.5161i | 0.480432 | + | 0.619511i | ||||
\(477\) | 16.5352 | + | 50.8900i | 0.757093 | + | 2.33009i | ||||
\(478\) | −8.98427 | − | 4.00006i | −0.410931 | − | 0.182958i | ||||
\(479\) | −2.15758 | − | 20.5280i | −0.0985821 | − | 0.937946i | −0.926296 | − | 0.376796i | \(-0.877026\pi\) |
0.827714 | − | 0.561150i | \(-0.189641\pi\) | |||||||
\(480\) | −3.63003 | + | 5.45588i | −0.165687 | + | 0.249026i | ||||
\(481\) | 0.216895 | − | 2.06362i | 0.00988956 | − | 0.0940929i | ||||
\(482\) | 13.3639 | 0.608710 | ||||||||
\(483\) | −8.21039 | − | 4.40355i | −0.373585 | − | 0.200368i | ||||
\(484\) | 7.54618 | − | 23.2248i | 0.343008 | − | 1.05567i | ||||
\(485\) | 10.5775 | + | 21.3433i | 0.480299 | + | 0.969149i | ||||
\(486\) | −6.58858 | − | 1.40045i | −0.298864 | − | 0.0635255i | ||||
\(487\) | 24.1603 | + | 26.8327i | 1.09481 | + | 1.21591i | 0.974788 | + | 0.223134i | \(0.0716288\pi\) |
0.120019 | + | 0.992772i | \(0.461705\pi\) | |||||||
\(488\) | 8.58782 | − | 1.82540i | 0.388753 | − | 0.0826319i | ||||
\(489\) | −9.87307 | − | 30.3862i | −0.446476 | − | 1.37411i | ||||
\(490\) | −12.6550 | − | 9.21141i | −0.571696 | − | 0.416129i | ||||
\(491\) | −2.79870 | + | 8.61350i | −0.126303 | + | 0.388722i | −0.994136 | − | 0.108134i | \(-0.965512\pi\) |
0.867833 | + | 0.496856i | \(0.165512\pi\) | |||||||
\(492\) | 1.35602 | − | 12.9017i | 0.0611342 | − | 0.581653i | ||||
\(493\) | −22.6353 | + | 39.2054i | −1.01944 | + | 1.76572i | ||||
\(494\) | 4.68877 | − | 2.08758i | 0.210958 | − | 0.0939245i | ||||
\(495\) | −12.4513 | + | 73.3247i | −0.559646 | + | 3.29570i | ||||
\(496\) | 2.16008 | − | 1.56939i | 0.0969905 | − | 0.0704677i | ||||
\(497\) | 19.3908 | − | 18.5910i | 0.869797 | − | 0.833919i | ||||
\(498\) | 5.41941 | + | 16.6792i | 0.242850 | + | 0.747414i | ||||
\(499\) | 10.3954 | + | 18.0054i | 0.465362 | + | 0.806030i | 0.999218 | − | 0.0395451i | \(-0.0125909\pi\) |
−0.533856 | + | 0.845575i | \(0.679258\pi\) | |||||||
\(500\) | 10.2982 | + | 4.35280i | 0.460550 | + | 0.194663i | ||||
\(501\) | 1.47521 | − | 2.55514i | 0.0659075 | − | 0.114155i | ||||
\(502\) | 11.1080 | − | 12.3367i | 0.495774 | − | 0.550613i | ||||
\(503\) | 20.8956 | − | 15.1816i | 0.931691 | − | 0.676913i | −0.0147155 | − | 0.999892i | \(-0.504684\pi\) |
0.946406 | + | 0.322979i | \(0.104684\pi\) | |||||||
\(504\) | 14.1989 | + | 4.12687i | 0.632468 | + | 0.183825i | ||||
\(505\) | 16.9109 | + | 14.0086i | 0.752524 | + | 0.623372i | ||||
\(506\) | −0.747496 | + | 7.11195i | −0.0332302 | + | 0.316165i | ||||
\(507\) | −15.8442 | + | 27.4430i | −0.703667 | + | 1.21879i | ||||
\(508\) | 11.6771 | − | 5.19896i | 0.518086 | − | 0.230667i | ||||
\(509\) | −28.1240 | + | 5.97795i | −1.24658 | + | 0.264968i | −0.783523 | − | 0.621363i | \(-0.786579\pi\) |
−0.463053 | + | 0.886331i | \(0.653246\pi\) | |||||||
\(510\) | −15.6213 | + | 39.3795i | −0.691721 | + | 1.74375i | ||||
\(511\) | 0.929962 | + | 0.0683964i | 0.0411391 | + | 0.00302568i | ||||
\(512\) | 0.309017 | − | 0.951057i | 0.0136568 | − | 0.0420312i | ||||
\(513\) | 25.7536 | − | 5.47410i | 1.13705 | − | 0.241688i | ||||
\(514\) | 27.3152 | + | 5.80603i | 1.20482 | + | 0.256093i | ||||
\(515\) | 15.8907 | − | 23.8835i | 0.700229 | − | 1.05243i | ||||
\(516\) | −20.9630 | + | 4.45582i | −0.922844 | + | 0.196156i | ||||
\(517\) | −29.8475 | − | 21.6855i | −1.31269 | − | 0.953727i | ||||
\(518\) | 1.40295 | − | 3.43673i | 0.0616421 | − | 0.151001i | ||||
\(519\) | 2.89992 | + | 2.10691i | 0.127292 | + | 0.0924832i | ||||
\(520\) | 1.46847 | + | 2.96308i | 0.0643967 | + | 0.129940i | ||||
\(521\) | −2.62995 | − | 25.0223i | −0.115220 | − | 1.09625i | −0.887451 | − | 0.460903i | \(-0.847526\pi\) |
0.772231 | − | 0.635342i | \(-0.219141\pi\) | |||||||
\(522\) | 4.09083 | + | 38.9216i | 0.179051 | + | 1.70355i | ||||
\(523\) | −5.18068 | + | 5.75373i | −0.226536 | + | 0.251593i | −0.845688 | − | 0.533678i | \(-0.820810\pi\) |
0.619153 | + | 0.785271i | \(0.287476\pi\) | |||||||
\(524\) | −19.5106 | −0.852324 | ||||||||
\(525\) | 3.70333 | − | 38.5917i | 0.161627 | − | 1.68428i | ||||
\(526\) | 7.93810 | 0.346118 | ||||||||
\(527\) | 11.5499 | − | 12.8274i | 0.503120 | − | 0.558772i | ||||
\(528\) | −1.82315 | − | 17.3462i | −0.0793426 | − | 0.754895i | ||||
\(529\) | 2.25324 | + | 21.4381i | 0.0979669 | + | 0.932093i | ||||
\(530\) | −15.3060 | + | 14.9691i | −0.664849 | + | 0.650215i | ||||
\(531\) | 27.5624 | + | 20.0253i | 1.19611 | + | 0.869023i | ||||
\(532\) | 9.09700 | − | 1.24510i | 0.394405 | − | 0.0539819i | ||||
\(533\) | −5.29632 | − | 3.84800i | −0.229409 | − | 0.166675i | ||||
\(534\) | −3.05885 | + | 0.650179i | −0.132370 | + | 0.0281360i | ||||
\(535\) | 23.8795 | − | 8.86289i | 1.03240 | − | 0.383176i | ||||
\(536\) | 8.10433 | + | 1.72263i | 0.350054 | + | 0.0744062i | ||||
\(537\) | −10.2532 | + | 2.17938i | −0.442457 | + | 0.0940471i | ||||
\(538\) | 6.35462 | − | 19.5575i | 0.273967 | − | 0.843184i | ||||
\(539\) | 41.5786 | − | 2.60659i | 1.79092 | − | 0.112274i | ||||
\(540\) | 4.20813 | + | 16.4342i | 0.181089 | + | 0.707217i | ||||
\(541\) | 35.8084 | − | 7.61132i | 1.53952 | − | 0.327236i | 0.641480 | − | 0.767140i | \(-0.278321\pi\) |
0.898045 | + | 0.439904i | \(0.144987\pi\) | |||||||
\(542\) | −4.83484 | + | 2.15261i | −0.207674 | + | 0.0924625i | ||||
\(543\) | 21.7624 | − | 37.6935i | 0.933913 | − | 1.61758i | ||||
\(544\) | 0.675754 | − | 6.42937i | 0.0289727 | − | 0.275657i | ||||
\(545\) | −15.5476 | + | 9.85255i | −0.665987 | + | 0.422037i | ||||
\(546\) | 8.27757 | − | 7.93613i | 0.354247 | − | 0.339635i | ||||
\(547\) | 22.5921 | − | 16.4142i | 0.965970 | − | 0.701819i | 0.0114408 | − | 0.999935i | \(-0.496358\pi\) |
0.954530 | + | 0.298116i | \(0.0963582\pi\) | |||||||
\(548\) | −8.69107 | + | 9.65241i | −0.371264 | + | 0.412331i | ||||
\(549\) | 24.5337 | − | 42.4936i | 1.04707 | − | 1.81358i | ||||
\(550\) | −28.4985 | + | 8.56350i | −1.21518 | + | 0.365149i | ||||
\(551\) | 12.1510 | + | 21.0461i | 0.517649 | + | 0.896595i | ||||
\(552\) | 1.08817 | + | 3.34905i | 0.0463157 | + | 0.142545i | ||||
\(553\) | −26.4757 | − | 7.69511i | −1.12586 | − | 0.327229i | ||||
\(554\) | −18.6339 | + | 13.5383i | −0.791680 | + | 0.575189i | ||||
\(555\) | 9.09648 | − | 1.33716i | 0.386124 | − | 0.0567595i | ||||
\(556\) | −0.260062 | + | 0.115787i | −0.0110291 | + | 0.00491046i | ||||
\(557\) | 16.2818 | − | 28.2009i | 0.689881 | − | 1.19491i | −0.281995 | − | 0.959416i | \(-0.590996\pi\) |
0.971876 | − | 0.235493i | \(-0.0756705\pi\) | |||||||
\(558\) | 1.55977 | − | 14.8402i | 0.0660305 | − | 0.628238i | ||||
\(559\) | −3.34207 | + | 10.2858i | −0.141355 | + | 0.435044i | ||||
\(560\) | 1.04318 | + | 5.82338i | 0.0440826 | + | 0.246083i | ||||
\(561\) | −34.8438 | − | 107.238i | −1.47111 | − | 4.52760i | ||||
\(562\) | 27.9762 | − | 5.94653i | 1.18011 | − | 0.250839i | ||||
\(563\) | −10.0472 | − | 11.1586i | −0.423440 | − | 0.470278i | 0.493244 | − | 0.869891i | \(-0.335811\pi\) |
−0.916684 | + | 0.399613i | \(0.869144\pi\) | |||||||
\(564\) | −17.7703 | − | 3.77720i | −0.748267 | − | 0.159049i | ||||
\(565\) | 1.84516 | + | 0.966167i | 0.0776266 | + | 0.0406469i | ||||
\(566\) | −5.12212 | + | 15.7643i | −0.215299 | + | 0.662621i | ||||
\(567\) | 12.2959 | − | 7.62189i | 0.516380 | − | 0.320089i | ||||
\(568\) | −10.1533 | −0.426024 | ||||||||
\(569\) | −2.28413 | + | 21.7321i | −0.0957558 | + | 0.911055i | 0.836186 | + | 0.548446i | \(0.184781\pi\) |
−0.931941 | + | 0.362609i | \(0.881886\pi\) | |||||||
\(570\) | 14.1145 | + | 17.8320i | 0.591191 | + | 0.746902i | ||||
\(571\) | 2.28111 | + | 21.7033i | 0.0954614 | + | 0.908255i | 0.932514 | + | 0.361133i | \(0.117610\pi\) |
−0.837053 | + | 0.547122i | \(0.815723\pi\) | |||||||
\(572\) | −8.04088 | − | 3.58003i | −0.336206 | − | 0.149689i | ||||
\(573\) | 18.1892 | + | 55.9805i | 0.759864 | + | 2.33862i | ||||
\(574\) | −7.17709 | − | 9.25478i | −0.299566 | − | 0.386287i | ||||
\(575\) | 5.26852 | − | 2.88741i | 0.219712 | − | 0.120413i | ||||
\(576\) | −2.79437 | − | 4.84000i | −0.116432 | − | 0.201667i | ||||
\(577\) | 2.23764 | + | 0.475625i | 0.0931542 | + | 0.0198005i | 0.254253 | − | 0.967138i | \(-0.418170\pi\) |
−0.161099 | + | 0.986938i | \(0.551504\pi\) | |||||||
\(578\) | −2.59162 | − | 24.6576i | −0.107797 | − | 1.02562i | ||||
\(579\) | 9.98991 | + | 4.44779i | 0.415166 | + | 0.184844i | ||||
\(580\) | −13.2263 | + | 8.38152i | −0.549192 | + | 0.348024i | ||||
\(581\) | 13.9525 | + | 7.48329i | 0.578849 | + | 0.310459i | ||||
\(582\) | −31.2199 | −1.29411 | ||||||||
\(583\) | 5.95621 | − | 56.6696i | 0.246681 | − | 2.34701i | ||||
\(584\) | −0.235830 | − | 0.261915i | −0.00975870 | − | 0.0108381i | ||||
\(585\) | 17.7979 | + | 4.98183i | 0.735853 | + | 0.205973i | ||||
\(586\) | −16.5889 | + | 18.4238i | −0.685280 | + | 0.761081i | ||||
\(587\) | −2.14586 | + | 6.60428i | −0.0885691 | + | 0.272588i | −0.985524 | − | 0.169533i | \(-0.945774\pi\) |
0.896955 | + | 0.442121i | \(0.145774\pi\) | |||||||
\(588\) | 18.1822 | − | 9.50027i | 0.749822 | − | 0.391785i | ||||
\(589\) | −2.86335 | − | 8.81248i | −0.117982 | − | 0.363112i | ||||
\(590\) | −2.28204 | + | 13.4387i | −0.0939501 | + | 0.553263i | ||||
\(591\) | 0.0856982 | + | 0.0951775i | 0.00352515 | + | 0.00391508i | ||||
\(592\) | −1.28173 | + | 0.570662i | −0.0526787 | + | 0.0234541i | ||||
\(593\) | −15.2501 | − | 26.4139i | −0.626245 | − | 1.08469i | −0.988299 | − | 0.152531i | \(-0.951258\pi\) |
0.362054 | − | 0.932157i | \(-0.382076\pi\) | |||||||
\(594\) | −36.5289 | − | 26.5398i | −1.49880 | − | 1.08894i | ||||
\(595\) | 14.4238 | + | 35.4221i | 0.591319 | + | 1.45216i | ||||
\(596\) | 11.6776 | − | 8.48424i | 0.478331 | − | 0.347528i | ||||
\(597\) | −1.20821 | − | 0.537929i | −0.0494487 | − | 0.0220160i | ||||
\(598\) | 1.73822 | + | 0.369469i | 0.0710810 | + | 0.0151087i | ||||
\(599\) | −16.5890 | + | 28.7330i | −0.677808 | + | 1.17400i | 0.297832 | + | 0.954618i | \(0.403737\pi\) |
−0.975640 | + | 0.219379i | \(0.929597\pi\) | |||||||
\(600\) | −11.1050 | + | 9.56022i | −0.453359 | + | 0.390294i | ||||
\(601\) | 17.7128 | 0.722522 | 0.361261 | − | 0.932465i | \(-0.382346\pi\) | ||||
0.361261 | + | 0.932465i | \(0.382346\pi\) | |||||||
\(602\) | −10.8769 | + | 16.0010i | −0.443309 | + | 0.652153i | ||||
\(603\) | 37.4615 | − | 27.2174i | 1.52555 | − | 1.10838i | ||||
\(604\) | −5.87498 | − | 2.61571i | −0.239049 | − | 0.106432i | ||||
\(605\) | 30.2475 | − | 45.4616i | 1.22974 | − | 1.84828i | ||||
\(606\) | −26.2925 | + | 11.7062i | −1.06806 | + | 0.475530i | ||||
\(607\) | −10.2315 | − | 17.7215i | −0.415285 | − | 0.719294i | 0.580174 | − | 0.814493i | \(-0.302985\pi\) |
−0.995458 | + | 0.0951985i | \(0.969651\pi\) | |||||||
\(608\) | −2.80761 | − | 2.03985i | −0.113864 | − | 0.0827268i | ||||
\(609\) | 41.4679 | + | 35.0510i | 1.68036 | + | 1.42034i | ||||
\(610\) | 19.5924 | + | 1.24553i | 0.793274 | + | 0.0504301i | ||||
\(611\) | −6.13461 | + | 6.81318i | −0.248180 | + | 0.275632i | ||||
\(612\) | −24.1757 | − | 26.8499i | −0.977245 | − | 1.08534i | ||||
\(613\) | 12.8155 | + | 14.2330i | 0.517612 | + | 0.574866i | 0.944113 | − | 0.329621i | \(-0.106921\pi\) |
−0.426502 | + | 0.904487i | \(0.640254\pi\) | |||||||
\(614\) | 2.87714 | − | 3.19539i | 0.116112 | − | 0.128955i | ||||
\(615\) | 10.6962 | − | 26.9639i | 0.431312 | − | 1.08729i | ||||
\(616\) | −12.0257 | − | 10.1648i | −0.484528 | − | 0.409551i | ||||
\(617\) | 15.9324 | + | 11.5755i | 0.641413 | + | 0.466014i | 0.860335 | − | 0.509728i | \(-0.170254\pi\) |
−0.218922 | + | 0.975742i | \(0.570254\pi\) | |||||||
\(618\) | 18.7990 | + | 32.5607i | 0.756205 | + | 1.30979i | ||||
\(619\) | 6.84318 | − | 3.04678i | 0.275051 | − | 0.122460i | −0.264576 | − | 0.964365i | \(-0.585232\pi\) |
0.539627 | + | 0.841904i | \(0.318565\pi\) | |||||||
\(620\) | 5.59723 | − | 2.07742i | 0.224790 | − | 0.0834312i | ||||
\(621\) | 8.32789 | + | 3.70782i | 0.334187 | + | 0.148790i | ||||
\(622\) | 18.5134 | − | 13.4508i | 0.742322 | − | 0.539328i | ||||
\(623\) | −1.58712 | + | 2.33482i | −0.0635867 | + | 0.0935426i | ||||
\(624\) | −4.33426 | −0.173509 | ||||||||
\(625\) | 19.5516 | + | 15.5800i | 0.782064 | + | 0.623198i | ||||
\(626\) | 12.3051 | − | 21.3130i | 0.491810 | − | 0.851840i | ||||
\(627\) | −59.2070 | − | 12.5848i | −2.36450 | − | 0.502590i | ||||
\(628\) | 4.35541 | + | 1.93915i | 0.173800 | + | 0.0773807i | ||||
\(629\) | −7.33799 | + | 5.33136i | −0.292585 | + | 0.212575i | ||||
\(630\) | 28.0870 | + | 17.4445i | 1.11901 | + | 0.695006i | ||||
\(631\) | −35.4257 | − | 25.7383i | −1.41028 | − | 1.02463i | −0.993282 | − | 0.115717i | \(-0.963083\pi\) |
−0.416994 | − | 0.908909i | \(-0.636917\pi\) | |||||||
\(632\) | 5.21049 | + | 9.02484i | 0.207262 | + | 0.358989i | ||||
\(633\) | 7.32406 | − | 3.26088i | 0.291105 | − | 0.129608i | ||||
\(634\) | 9.03115 | + | 10.0301i | 0.358673 | + | 0.398346i | ||||
\(635\) | 28.2778 | − | 4.15679i | 1.12217 | − | 0.164957i | ||||
\(636\) | −8.67080 | − | 26.6860i | −0.343819 | − | 1.05817i | ||||
\(637\) | 0.435828 | − | 10.3434i | 0.0172681 | − | 0.409820i | ||||
\(638\) | 12.8786 | − | 39.6362i | 0.509868 | − | 1.56921i | ||||
\(639\) | −37.9694 | + | 42.1692i | −1.50204 | + | 1.66819i | ||||
\(640\) | 1.23864 | − | 1.86166i | 0.0489616 | − | 0.0735885i | ||||
\(641\) | −0.458000 | − | 0.508660i | −0.0180899 | − | 0.0200909i | 0.734032 | − | 0.679115i | \(-0.237636\pi\) |
−0.752122 | + | 0.659024i | \(0.770970\pi\) | |||||||
\(642\) | −3.48950 | + | 33.2004i | −0.137719 | + | 1.31031i | ||||
\(643\) | 34.3814 | 1.35587 | 0.677935 | − | 0.735122i | \(-0.262875\pi\) | ||||
0.677935 | + | 0.735122i | \(0.262875\pi\) | |||||||
\(644\) | 2.80155 | + | 1.50258i | 0.110397 | + | 0.0592100i | ||||
\(645\) | −47.8253 | − | 3.04036i | −1.88312 | − | 0.119714i | ||||
\(646\) | −20.4957 | − | 9.12529i | −0.806394 | − | 0.359030i | ||||
\(647\) | −0.867778 | − | 8.25635i | −0.0341159 | − | 0.324591i | −0.998248 | − | 0.0591682i | \(-0.981155\pi\) |
0.964132 | − | 0.265423i | \(-0.0855115\pi\) | |||||||
\(648\) | −5.34837 | − | 1.13683i | −0.210104 | − | 0.0446590i | ||||
\(649\) | −18.1401 | − | 31.4196i | −0.712061 | − | 1.23333i | ||||
\(650\) | 1.37611 | + | 7.26551i | 0.0539755 | + | 0.284977i | ||||
\(651\) | −12.6870 | − | 16.3597i | −0.497242 | − | 0.641188i | ||||
\(652\) | 3.36890 | + | 10.3684i | 0.131936 | + | 0.406058i | ||||
\(653\) | −9.01117 | − | 4.01203i | −0.352634 | − | 0.157003i | 0.222772 | − | 0.974871i | \(-0.428489\pi\) |
−0.575406 | + | 0.817868i | \(0.695156\pi\) | |||||||
\(654\) | −2.52166 | − | 23.9920i | −0.0986048 | − | 0.938162i | ||||
\(655\) | −42.0122 | − | 11.7597i | −1.64155 | − | 0.459488i | ||||
\(656\) | −0.462702 | + | 4.40232i | −0.0180655 | + | 0.171882i | ||||
\(657\) | −1.96971 | −0.0768457 | ||||||||
\(658\) | −13.9402 | + | 8.64115i | −0.543446 | + | 0.336867i | ||||
\(659\) | 4.93110 | − | 15.1764i | 0.192088 | − | 0.591187i | −0.807910 | − | 0.589306i | \(-0.799401\pi\) |
0.999998 | − | 0.00188097i | \(-0.000598731\pi\) | |||||||
\(660\) | 6.52930 | − | 38.4504i | 0.254153 | − | 1.49668i | ||||
\(661\) | 11.1410 | + | 2.36810i | 0.433335 | + | 0.0921083i | 0.419415 | − | 0.907795i | \(-0.362235\pi\) |
0.0139208 | + | 0.999903i | \(0.495569\pi\) | |||||||
\(662\) | 8.48309 | + | 9.42142i | 0.329704 | + | 0.366174i | ||||
\(663\) | −27.4077 | + | 5.82569i | −1.06443 | + | 0.226251i | ||||
\(664\) | −1.84921 | − | 5.69130i | −0.0717634 | − | 0.220865i | ||||
\(665\) | 20.3391 | + | 2.80199i | 0.788715 | + | 0.108656i | ||||
\(666\) | −2.42305 | + | 7.45738i | −0.0938913 | + | 0.288968i | ||||
\(667\) | −0.879522 | + | 8.36809i | −0.0340552 | + | 0.324014i | ||||
\(668\) | −0.503371 | + | 0.871865i | −0.0194760 | + | 0.0337335i | ||||
\(669\) | 6.13801 | − | 2.73282i | 0.237309 | − | 0.105657i | ||||
\(670\) | 16.4128 | + | 8.59409i | 0.634082 | + | 0.332019i | ||||
\(671\) | −42.2727 | + | 30.7129i | −1.63192 | + | 1.18566i | ||||
\(672\) | −7.44567 | − | 2.16407i | −0.287223 | − | 0.0834808i | ||||
\(673\) | 9.65789 | + | 29.7239i | 0.372284 | + | 1.14577i | 0.945293 | + | 0.326224i | \(0.105776\pi\) |
−0.573008 | + | 0.819550i | \(0.694224\pi\) | |||||||
\(674\) | 13.9866 | + | 24.2255i | 0.538744 | + | 0.933133i | ||||
\(675\) | −0.844093 | + | 37.9243i | −0.0324892 | + | 1.45971i | ||||
\(676\) | 5.40637 | − | 9.36411i | 0.207937 | − | 0.360158i | ||||
\(677\) | 22.6620 | − | 25.1687i | 0.870972 | − | 0.967313i | −0.128731 | − | 0.991680i | \(-0.541090\pi\) |
0.999703 | + | 0.0243669i | \(0.00775700\pi\) | |||||||
\(678\) | −2.20845 | + | 1.60453i | −0.0848150 | + | 0.0616217i | ||||
\(679\) | −20.3449 | + | 19.5057i | −0.780765 | + | 0.748560i | ||||
\(680\) | 5.33030 | − | 13.4371i | 0.204408 | − | 0.515288i | ||||
\(681\) | −5.59633 | + | 53.2455i | −0.214452 | + | 2.04037i | ||||
\(682\) | −7.94523 | + | 13.7615i | −0.304238 | + | 0.526957i | ||||
\(683\) | −28.4623 | + | 12.6722i | −1.08908 | + | 0.484889i | −0.871121 | − | 0.491069i | \(-0.836606\pi\) |
−0.217958 | + | 0.975958i | \(0.569940\pi\) | |||||||
\(684\) | −18.9714 | + | 4.03249i | −0.725388 | + | 0.154186i | ||||
\(685\) | −24.5323 | + | 15.5462i | −0.937333 | + | 0.593989i | ||||
\(686\) | 5.91308 | − | 17.5509i | 0.225763 | − | 0.670098i | ||||
\(687\) | −0.498015 | + | 1.53273i | −0.0190004 | + | 0.0584773i | ||||
\(688\) | 7.15300 | − | 1.52042i | 0.272705 | − | 0.0579653i | ||||
\(689\) | −13.8505 | − | 2.94402i | −0.527662 | − | 0.112158i | ||||
\(690\) | 0.324580 | + | 7.86739i | 0.0123566 | + | 0.299506i | ||||
\(691\) | 12.3330 | − | 2.62147i | 0.469170 | − | 0.0997253i | 0.0327412 | − | 0.999464i | \(-0.489576\pi\) |
0.436429 | + | 0.899739i | \(0.356243\pi\) | |||||||
\(692\) | −0.989511 | − | 0.718922i | −0.0376156 | − | 0.0273293i | ||||
\(693\) | −87.1881 | + | 11.9334i | −3.31200 | + | 0.453312i | ||||
\(694\) | −20.3892 | − | 14.8136i | −0.773963 | − | 0.562317i | ||||
\(695\) | −0.629780 | + | 0.0925765i | −0.0238889 | + | 0.00351163i | ||||
\(696\) | −2.14517 | − | 20.4099i | −0.0813124 | − | 0.773636i | ||||
\(697\) | 2.99127 | + | 28.4600i | 0.113302 | + | 1.07800i | ||||
\(698\) | 9.23193 | − | 10.2531i | 0.349434 | − | 0.388086i | ||||
\(699\) | 69.3552 | 2.62325 | ||||||||
\(700\) | −1.26365 | + | 13.1683i | −0.0477616 | + | 0.497714i | ||||
\(701\) | −31.1561 | −1.17675 | −0.588374 | − | 0.808589i | \(-0.700232\pi\) | ||||
−0.588374 | + | 0.808589i | \(0.700232\pi\) | |||||||
\(702\) | −7.50784 | + | 8.33830i | −0.283365 | + | 0.314709i | ||||
\(703\) | 0.508955 | + | 4.84239i | 0.0191956 | + | 0.182634i | ||||
\(704\) | 0.622098 | + | 5.91886i | 0.0234462 | + | 0.223076i | ||||
\(705\) | −35.9883 | − | 18.8442i | −1.35540 | − | 0.709715i | ||||
\(706\) | −7.09235 | − | 5.15289i | −0.266924 | − | 0.193932i | ||||
\(707\) | −9.82003 | + | 24.0556i | −0.369320 | + | 0.904703i | ||||
\(708\) | −14.4533 | − | 10.5010i | −0.543190 | − | 0.394650i | ||||
\(709\) | −13.9040 | + | 2.95539i | −0.522177 | + | 0.110992i | −0.461457 | − | 0.887163i | \(-0.652673\pi\) |
−0.0607203 | + | 0.998155i | \(0.519340\pi\) | |||||||
\(710\) | −21.8632 | − | 6.11974i | −0.820510 | − | 0.229670i | ||||
\(711\) | 56.9676 | + | 12.1088i | 2.13645 | + | 0.454117i | ||||
\(712\) | 1.04374 | − | 0.221855i | 0.0391159 | − | 0.00831435i | ||||
\(713\) | 0.991391 | − | 3.05119i | 0.0371279 | − | 0.114268i | ||||
\(714\) | −49.9915 | − | 3.67676i | −1.87089 | − | 0.137599i | ||||
\(715\) | −15.1567 | − | 12.5554i | −0.566827 | − | 0.469545i | ||||
\(716\) | 3.49859 | − | 0.743648i | 0.130748 | − | 0.0277914i | ||||
\(717\) | 26.3298 | − | 11.7228i | 0.983305 | − | 0.437796i | ||||
\(718\) | 10.6341 | − | 18.4188i | 0.396860 | − | 0.687382i | ||||
\(719\) | 5.39700 | − | 51.3491i | 0.201274 | − | 1.91500i | −0.168194 | − | 0.985754i | \(-0.553794\pi\) |
0.369469 | − | 0.929243i | \(-0.379540\pi\) | |||||||
\(720\) | −3.09991 | − | 12.1062i | −0.115527 | − | 0.451173i | ||||
\(721\) | 32.5940 | + | 9.47338i | 1.21386 | + | 0.352807i | ||||
\(722\) | 5.62779 | − | 4.08883i | 0.209445 | − | 0.152170i | ||||
\(723\) | −26.2065 | + | 29.1053i | −0.974631 | + | 1.08244i | ||||
\(724\) | −7.42577 | + | 12.8618i | −0.275977 | + | 0.478005i | ||||
\(725\) | −33.5320 | + | 10.0760i | −1.24535 | + | 0.374214i | ||||
\(726\) | 35.7833 | + | 61.9784i | 1.32804 | + | 2.30023i | ||||
\(727\) | −10.9925 | − | 33.8315i | −0.407691 | − | 1.25474i | −0.918628 | − | 0.395124i | \(-0.870701\pi\) |
0.510937 | − | 0.859618i | \(-0.329299\pi\) | |||||||
\(728\) | −2.82448 | + | 2.70797i | −0.104682 | + | 0.100364i | ||||
\(729\) | 29.2410 | − | 21.2448i | 1.08300 | − | 0.786845i | ||||
\(730\) | −0.349948 | − | 0.706126i | −0.0129521 | − | 0.0261349i | ||||
\(731\) | 43.1885 | − | 19.2287i | 1.59738 | − | 0.711201i | ||||
\(732\) | −12.8651 | + | 22.2830i | −0.475508 | + | 0.823605i | ||||
\(733\) | 0.843645 | − | 8.02674i | 0.0311607 | − | 0.296475i | −0.967832 | − | 0.251598i | \(-0.919044\pi\) |
0.998993 | − | 0.0448765i | \(-0.0142894\pi\) | |||||||
\(734\) | 2.91632 | − | 8.97552i | 0.107643 | − | 0.331292i | ||||
\(735\) | 44.8780 | − | 9.49793i | 1.65535 | − | 0.350337i | ||||
\(736\) | −0.371306 | − | 1.14276i | −0.0136865 | − | 0.0421228i | ||||
\(737\) | −48.2327 | + | 10.2522i | −1.77667 | + | 0.377644i | ||||
\(738\) | 16.5536 | + | 18.3846i | 0.609346 | + | 0.676748i | ||||
\(739\) | 29.6651 | + | 6.30550i | 1.09125 | + | 0.231952i | 0.718183 | − | 0.695854i | \(-0.244974\pi\) |
0.373064 | + | 0.927806i | \(0.378307\pi\) | |||||||
\(740\) | −3.10390 | + | 0.456268i | −0.114102 | + | 0.0167727i | ||||
\(741\) | −4.64811 | + | 14.3054i | −0.170753 | + | 0.525522i | ||||
\(742\) | −22.3234 | − | 11.9729i | −0.819518 | − | 0.439539i | ||||
\(743\) | −9.84460 | −0.361163 | −0.180582 | − | 0.983560i | \(-0.557798\pi\) | ||||
−0.180582 | + | 0.983560i | \(0.557798\pi\) | |||||||
\(744\) | −0.817922 | + | 7.78201i | −0.0299865 | + | 0.285302i | ||||
\(745\) | 30.2590 | − | 11.2307i | 1.10861 | − | 0.411461i | ||||
\(746\) | −2.24482 | − | 21.3580i | −0.0821886 | − | 0.781973i | ||||
\(747\) | −30.5527 | − | 13.6029i | −1.11786 | − | 0.497705i | ||||
\(748\) | 11.8894 | + | 36.5918i | 0.434720 | + | 1.33793i | ||||
\(749\) | 18.4691 | + | 23.8156i | 0.674844 | + | 0.870205i | ||||
\(750\) | −29.6747 | + | 13.8927i | −1.08357 | + | 0.507290i | ||||
\(751\) | 13.8917 | + | 24.0612i | 0.506917 | + | 0.878006i | 0.999968 | + | 0.00800529i | \(0.00254819\pi\) |
−0.493051 | + | 0.870000i | \(0.664118\pi\) | |||||||
\(752\) | 6.06361 | + | 1.28886i | 0.221117 | + | 0.0469999i | ||||
\(753\) | 5.08539 | + | 48.3843i | 0.185322 | + | 1.76322i | ||||
\(754\) | −9.46110 | − | 4.21235i | −0.344553 | − | 0.153405i | ||||
\(755\) | −11.0740 | − | 9.17346i | −0.403025 | − | 0.333856i | ||||
\(756\) | −17.0607 | + | 10.5755i | −0.620493 | + | 0.384626i | ||||
\(757\) | −18.4713 | −0.671351 | −0.335676 | − | 0.941978i | \(-0.608965\pi\) | ||||
−0.335676 | + | 0.941978i | \(0.608965\pi\) | |||||||
\(758\) | 0.393902 | − | 3.74773i | 0.0143072 | − | 0.136124i | ||||
\(759\) | −14.0233 | − | 15.5744i | −0.509013 | − | 0.565316i | ||||
\(760\) | −4.81615 | − | 6.08465i | −0.174700 | − | 0.220714i | ||||
\(761\) | −4.73593 | + | 5.25978i | −0.171677 | + | 0.190667i | −0.822843 | − | 0.568269i | \(-0.807613\pi\) |
0.651166 | + | 0.758935i | \(0.274280\pi\) | |||||||
\(762\) | −11.5758 | + | 35.6266i | −0.419347 | + | 1.29062i | ||||
\(763\) | −16.6331 | − | 14.0592i | −0.602158 | − | 0.508978i | ||||
\(764\) | −6.20652 | − | 19.1017i | −0.224544 | − | 0.691075i | ||||
\(765\) | −35.8743 | − | 72.3874i | −1.29704 | − | 2.61717i | ||||
\(766\) | 14.4779 | + | 16.0793i | 0.523107 | + | 0.580969i | ||||
\(767\) | −8.23617 | + | 3.66698i | −0.297391 | + | 0.132407i | ||||
\(768\) | 1.46533 | + | 2.53802i | 0.0528755 | + | 0.0915830i | ||||
\(769\) | 40.4106 | + | 29.3600i | 1.45724 | + | 1.05875i | 0.984071 | + | 0.177779i | \(0.0568911\pi\) |
0.473172 | + | 0.880970i | \(0.343109\pi\) | |||||||
\(770\) | −19.7683 | − | 29.1361i | −0.712399 | − | 1.04999i | ||||
\(771\) | −66.2098 | + | 48.1043i | −2.38449 | + | 1.73243i | ||||
\(772\) | −3.40876 | − | 1.51768i | −0.122684 | − | 0.0546224i | ||||
\(773\) | −25.1719 | − | 5.35046i | −0.905371 | − | 0.192443i | −0.268379 | − | 0.963313i | \(-0.586488\pi\) |
−0.636992 | + | 0.770871i | \(0.719821\pi\) | |||||||
\(774\) | 20.4347 | − | 35.3939i | 0.734510 | − | 1.27221i | ||||
\(775\) | 13.3047 | − | 1.09968i | 0.477918 | − | 0.0395016i | ||||
\(776\) | 10.6529 | 0.382416 | ||||||||
\(777\) | 4.73368 | + | 9.79488i | 0.169820 | + | 0.351389i | ||||
\(778\) | −15.2040 | + | 11.0463i | −0.545089 | + | 0.396031i | ||||
\(779\) | 14.0338 | + | 6.24827i | 0.502815 | + | 0.223868i | ||||
\(780\) | −9.33296 | − | 2.61240i | −0.334174 | − | 0.0935389i | ||||
\(781\) | 55.2029 | − | 24.5779i | 1.97532 | − | 0.879467i | ||||
\(782\) | −3.88395 | − | 6.72721i | −0.138890 | − | 0.240564i | ||||
\(783\) | −42.9808 | − | 31.2274i | −1.53601 | − | 1.11597i | ||||
\(784\) | −6.20415 | + | 3.24169i | −0.221577 | + | 0.115775i | ||||
\(785\) | 8.20973 | + | 6.80074i | 0.293018 | + | 0.242729i | ||||
\(786\) | 38.2601 | − | 42.4921i | 1.36469 | − | 1.51564i | ||||
\(787\) | −13.1177 | − | 14.5686i | −0.467594 | − | 0.519316i | 0.462509 | − | 0.886615i | \(-0.346949\pi\) |
−0.930103 | + | 0.367299i | \(0.880283\pi\) | |||||||
\(788\) | −0.0292420 | − | 0.0324765i | −0.00104170 | − | 0.00115693i | ||||
\(789\) | −15.5666 | + | 17.2884i | −0.554184 | + | 0.615484i | ||||
\(790\) | 5.78020 | + | 22.5737i | 0.205650 | + | 0.803138i | ||||
\(791\) | −0.436681 | + | 2.42542i | −0.0155266 | + | 0.0862379i | ||||
\(792\) | 26.9089 | + | 19.5505i | 0.956167 | + | 0.694696i | ||||
\(793\) | 6.49230 | + | 11.2450i | 0.230548 | + | 0.399321i | ||||
\(794\) | −7.05780 | + | 3.14234i | −0.250472 | + | 0.111517i | ||||
\(795\) | −2.58633 | − | 62.6891i | −0.0917277 | − | 2.22336i | ||||
\(796\) | 0.412265 | + | 0.183552i | 0.0146124 | + | 0.00650584i | ||||
\(797\) | 3.90005 | − | 2.83356i | 0.138147 | − | 0.100370i | −0.516565 | − | 0.856248i | \(-0.672790\pi\) |
0.654712 | + | 0.755878i | \(0.272790\pi\) | |||||||
\(798\) | −15.1274 | + | 22.2540i | −0.535506 | + | 0.787783i | ||||
\(799\) | 40.0756 | 1.41777 | ||||||||
\(800\) | 3.78925 | − | 3.26214i | 0.133970 | − | 0.115334i | ||||
\(801\) | 2.98177 | − | 5.16457i | 0.105356 | − | 0.182481i | ||||
\(802\) | 6.98397 | + | 1.48449i | 0.246613 | + | 0.0524191i | ||||
\(803\) | 1.91620 | + | 0.853149i | 0.0676214 | + | 0.0301070i | ||||
\(804\) | −19.6442 | + | 14.2724i | −0.692799 | + | 0.503348i | ||||
\(805\) | 5.12693 | + | 4.92410i | 0.180701 | + | 0.173552i | ||||
\(806\) | 3.19462 | + | 2.32103i | 0.112526 | + | 0.0817548i | ||||
\(807\) | 30.1330 | + | 52.1918i | 1.06073 | + | 1.83724i | ||||
\(808\) | 8.97153 | − | 3.99438i | 0.315617 | − | 0.140522i | ||||
\(809\) | −17.4898 | − | 19.4244i | −0.614909 | − | 0.682926i | 0.352596 | − | 0.935776i | \(-0.385299\pi\) |
−0.967506 | + | 0.252849i | \(0.918632\pi\) | |||||||
\(810\) | −10.8315 | − | 5.67159i | −0.380579 | − | 0.199279i | ||||
\(811\) | −7.27414 | − | 22.3875i | −0.255430 | − | 0.786131i | −0.993745 | − | 0.111675i | \(-0.964378\pi\) |
0.738315 | − | 0.674456i | \(-0.235622\pi\) | |||||||
\(812\) | −14.1497 | − | 11.9601i | −0.496557 | − | 0.419718i | ||||
\(813\) | 4.79291 | − | 14.7511i | 0.168095 | − | 0.517342i | ||||
\(814\) | 5.58728 | − | 6.20530i | 0.195834 | − | 0.217496i | ||||
\(815\) | 1.00488 | + | 24.3568i | 0.0351993 | + | 0.853183i | ||||
\(816\) | 12.6774 | + | 14.0797i | 0.443797 | + | 0.492887i | ||||
\(817\) | 2.65276 | − | 25.2393i | 0.0928083 | − | 0.883012i | ||||
\(818\) | −22.4596 | −0.785280 | ||||||||
\(819\) | 0.684459 | + | 21.8575i | 0.0239169 | + | 0.763762i | ||||
\(820\) | −3.64976 | + | 9.20064i | −0.127455 | + | 0.321300i | ||||
\(821\) | −35.4027 | − | 15.7623i | −1.23556 | − | 0.550107i | −0.318147 | − | 0.948041i | \(-0.603061\pi\) |
−0.917414 | + | 0.397934i | \(0.869727\pi\) | |||||||
\(822\) | −3.97889 | − | 37.8566i | −0.138780 | − | 1.32040i | ||||
\(823\) | 6.60695 | + | 1.40435i | 0.230304 | + | 0.0489526i | 0.321618 | − | 0.946870i | \(-0.395773\pi\) |
−0.0913140 | + | 0.995822i | \(0.529107\pi\) | |||||||
\(824\) | −6.41459 | − | 11.1104i | −0.223463 | − | 0.387049i | ||||
\(825\) | 37.2349 | − | 78.8599i | 1.29635 | − | 2.74555i | ||||
\(826\) | −15.9795 | + | 2.18711i | −0.555999 | + | 0.0760993i | ||||
\(827\) | 13.0956 | + | 40.3041i | 0.455378 | + | 1.40151i | 0.870691 | + | 0.491831i | \(0.163672\pi\) |
−0.415313 | + | 0.909679i | \(0.636328\pi\) | |||||||
\(828\) | −6.13472 | − | 2.73135i | −0.213196 | − | 0.0949211i | ||||
\(829\) | 0.119547 | + | 1.13741i | 0.00415204 | + | 0.0395040i | 0.996402 | − | 0.0847558i | \(-0.0270110\pi\) |
−0.992250 | + | 0.124260i | \(0.960344\pi\) | |||||||
\(830\) | −0.551585 | − | 13.3697i | −0.0191458 | − | 0.464068i | ||||
\(831\) | 7.05580 | − | 67.1315i | 0.244763 | − | 2.32877i | ||||
\(832\) | 1.47894 | 0.0512729 | ||||||||
\(833\) | −34.8748 | + | 28.8379i | −1.20834 | + | 0.999173i | ||||
\(834\) | 0.257806 | − | 0.793446i | 0.00892710 | − | 0.0274748i | ||||
\(835\) | −1.60941 | + | 1.57399i | −0.0556960 | + | 0.0544702i | ||||
\(836\) | 20.2026 | + | 4.29420i | 0.698722 | + | 0.148518i | ||||
\(837\) | 13.5543 | + | 15.0536i | 0.468506 | + | 0.520329i | ||||
\(838\) | −22.8575 | + | 4.85851i | −0.789599 | + | 0.167834i | ||||
\(839\) | 6.03586 | + | 18.5765i | 0.208381 | + | 0.641330i | 0.999558 | + | 0.0297428i | \(0.00946882\pi\) |
−0.791177 | + | 0.611588i | \(0.790531\pi\) | |||||||
\(840\) | −14.7284 | − | 9.14765i | −0.508179 | − | 0.315624i | ||||
\(841\) | 6.19176 | − | 19.0563i | 0.213509 | − | 0.657114i | ||||
\(842\) | 0.0142115 | − | 0.135214i | 0.000489762 | − | 0.00465977i | ||||
\(843\) | −41.9102 | + | 72.5905i | −1.44346 | + | 2.50015i | ||||
\(844\) | −2.49912 | + | 1.11268i | −0.0860232 | + | 0.0383000i | ||||
\(845\) | 17.2856 | − | 16.9052i | 0.594643 | − | 0.581556i | ||||
\(846\) | 28.0284 | − | 20.3638i | 0.963637 | − | 0.700123i | ||||
\(847\) | 62.0417 | + | 18.0323i | 2.13178 | + | 0.619597i | ||||
\(848\) | 2.95865 | + | 9.10580i | 0.101601 | + | 0.312694i | ||||
\(849\) | −24.2886 | − | 42.0691i | −0.833582 | − | 1.44381i | ||||
\(850\) | 19.5767 | − | 25.7213i | 0.671476 | − | 0.882235i | ||||
\(851\) | −0.842919 | + | 1.45998i | −0.0288949 | + | 0.0500474i | ||||
\(852\) | 19.9106 | − | 22.1129i | 0.682125 | − | 0.757576i | ||||
\(853\) | −15.1661 | + | 11.0188i | −0.519278 | + | 0.377278i | −0.816332 | − | 0.577583i | \(-0.803996\pi\) |
0.297054 | + | 0.954861i | \(0.403996\pi\) | |||||||
\(854\) | 5.53834 | + | 22.5590i | 0.189518 | + | 0.771951i | ||||
\(855\) | −43.2816 | − | 2.75150i | −1.48020 | − | 0.0940994i | ||||
\(856\) | 1.19069 | − | 11.3286i | 0.0406969 | − | 0.387205i | ||||
\(857\) | 21.9700 | − | 38.0532i | 0.750482 | − | 1.29987i | −0.197108 | − | 0.980382i | \(-0.563155\pi\) |
0.947589 | − | 0.319491i | \(-0.103512\pi\) | |||||||
\(858\) | 23.5651 | − | 10.4918i | 0.804498 | − | 0.358186i | ||||
\(859\) | −26.8760 | + | 5.71266i | −0.916996 | + | 0.194913i | −0.642154 | − | 0.766576i | \(-0.721959\pi\) |
−0.274842 | + | 0.961489i | \(0.588626\pi\) | |||||||
\(860\) | 16.3190 | + | 1.03743i | 0.556472 | + | 0.0353761i | ||||
\(861\) | 34.2302 | + | 2.51755i | 1.16656 | + | 0.0857978i | ||||
\(862\) | −7.71159 | + | 23.7338i | −0.262658 | + | 0.808378i | ||||
\(863\) | −31.7390 | + | 6.74633i | −1.08041 | + | 0.229648i | −0.713532 | − | 0.700622i | \(-0.752906\pi\) |
−0.366875 | + | 0.930270i | \(0.619572\pi\) | |||||||
\(864\) | 7.42094 | + | 1.57737i | 0.252466 | + | 0.0536632i | ||||
\(865\) | −1.69740 | − | 2.14447i | −0.0577133 | − | 0.0729141i | ||||
\(866\) | −6.08889 | + | 1.29423i | −0.206909 | + | 0.0439799i | ||||
\(867\) | 58.7840 | + | 42.7091i | 1.99641 | + | 1.45048i | ||||
\(868\) | 4.32906 | + | 5.58227i | 0.146938 | + | 0.189475i | ||||
\(869\) | −50.1754 | − | 36.4545i | −1.70208 | − | 1.23664i | ||||
\(870\) | 7.68254 | − | 45.2417i | 0.260462 | − | 1.53384i | ||||
\(871\) | 1.28085 | + | 12.1864i | 0.0433998 | + | 0.412922i | ||||
\(872\) | 0.860443 | + | 8.18657i | 0.0291383 | + | 0.277232i | ||||
\(873\) | 39.8375 | − | 44.2441i | 1.34830 | − | 1.49743i | ||||
\(874\) | −4.16994 | −0.141050 | ||||||||
\(875\) | −10.6580 | + | 27.5936i | −0.360305 | + | 0.932834i | ||||
\(876\) | 1.03289 | 0.0348980 | ||||||||
\(877\) | 10.4383 | − | 11.5929i | 0.352476 | − | 0.391465i | −0.540667 | − | 0.841237i | \(-0.681828\pi\) |
0.893143 | + | 0.449772i | \(0.148495\pi\) | |||||||
\(878\) | 2.52650 | + | 24.0380i | 0.0852651 | + | 0.811243i | ||||
\(879\) | −7.59461 | − | 72.2579i | −0.256160 | − | 2.43720i | ||||
\(880\) | −2.22793 | + | 13.1201i | −0.0751036 | + | 0.442277i | ||||
\(881\) | −19.7864 | − | 14.3756i | −0.666620 | − | 0.484328i | 0.202272 | − | 0.979329i | \(-0.435167\pi\) |
−0.868892 | + | 0.495002i | \(0.835167\pi\) | |||||||
\(882\) | −9.73751 | + | 37.8900i | −0.327879 | + | 1.27582i | ||||
\(883\) | −3.96239 | − | 2.87884i | −0.133345 | − | 0.0968807i | 0.519113 | − | 0.854705i | \(-0.326262\pi\) |
−0.652458 | + | 0.757825i | \(0.726262\pi\) | |||||||
\(884\) | 9.35207 | − | 1.98784i | 0.314544 | − | 0.0668584i | ||||
\(885\) | −24.7931 | − | 31.3233i | −0.833412 | − | 1.05292i | ||||
\(886\) | 14.9470 | + | 3.17709i | 0.502156 | + | 0.106737i | ||||
\(887\) | 44.3771 | − | 9.43264i | 1.49004 | − | 0.316717i | 0.610296 | − | 0.792173i | \(-0.291050\pi\) |
0.879739 | + | 0.475456i | \(0.157717\pi\) | |||||||
\(888\) | 1.27061 | − | 3.91054i | 0.0426389 | − | 0.131229i | ||||
\(889\) | 14.7154 | + | 30.4489i | 0.493539 | + | 1.02122i | ||||
\(890\) | 2.38121 | + | 0.151379i | 0.0798185 | + | 0.00507423i | ||||
\(891\) | 31.8307 | − | 6.76582i | 1.06637 | − | 0.226663i | ||||
\(892\) | −2.09441 | + | 0.932493i | −0.0701262 | + | 0.0312222i | ||||
\(893\) | 10.7566 | − | 18.6310i | 0.359957 | − | 0.623463i | ||||
\(894\) | −4.42175 | + | 42.0701i | −0.147885 | + | 1.40703i | ||||
\(895\) | 7.98174 | + | 0.507417i | 0.266800 | + | 0.0169611i | ||||
\(896\) | 2.54062 | + | 0.738424i | 0.0848760 | + | 0.0246690i | ||||
\(897\) | −4.21330 | + | 3.06114i | −0.140678 | + | 0.102209i | ||||
\(898\) | −13.6163 | + | 15.1224i | −0.454381 | + | 0.504642i | ||||
\(899\) | −9.34855 | + | 16.1922i | −0.311792 | + | 0.540039i | ||||
\(900\) | 0.621799 | − | 27.9368i | 0.0207266 | − | 0.931227i | ||||
\(901\) | 30.9482 | + | 53.6039i | 1.03103 | + | 1.78580i | ||||
\(902\) | −8.14092 | − | 25.0552i | −0.271063 | − | 0.834246i | ||||
\(903\) | −13.5192 | − | 55.0667i | −0.449889 | − | 1.83250i | ||||
\(904\) | 0.753568 | − | 0.547499i | 0.0250633 | − | 0.0182096i | ||||
\(905\) | −23.7422 | + | 23.2196i | −0.789216 | + | 0.771846i | ||||
\(906\) | 17.2175 | − | 7.66574i | 0.572015 | − | 0.254677i | ||||
\(907\) | 5.70695 | − | 9.88473i | 0.189496 | − | 0.328217i | −0.755586 | − | 0.655049i | \(-0.772648\pi\) |
0.945082 | + | 0.326832i | \(0.105981\pi\) | |||||||
\(908\) | 1.90958 | − | 18.1684i | 0.0633717 | − | 0.602941i | ||||
\(909\) | 16.9603 | − | 52.1984i | 0.562537 | − | 1.73131i | ||||
\(910\) | −7.71414 | + | 4.12868i | −0.255721 | + | 0.136864i | ||||
\(911\) | 14.2222 | + | 43.7714i | 0.471202 | + | 1.45021i | 0.851012 | + | 0.525146i | \(0.175989\pi\) |
−0.379810 | + | 0.925064i | \(0.624011\pi\) | |||||||
\(912\) | 9.94830 | − | 2.11458i | 0.329421 | − | 0.0700206i | ||||
\(913\) | 23.8309 | + | 26.4669i | 0.788686 | + | 0.875925i | ||||
\(914\) | −21.1941 | − | 4.50493i | −0.701037 | − | 0.149010i | ||||
\(915\) | −41.1332 | + | 40.2279i | −1.35982 | + | 1.32989i | ||||
\(916\) | 0.169933 | − | 0.522999i | 0.00561474 | − | 0.0172804i | ||||
\(917\) | −1.61567 | − | 51.5948i | −0.0533542 | − | 1.70381i | ||||
\(918\) | 49.0466 | 1.61878 | ||||||||
\(919\) | 4.94153 | − | 47.0155i | 0.163006 | − | 1.55090i | −0.541195 | − | 0.840897i | \(-0.682028\pi\) |
0.704201 | − | 0.710001i | \(-0.251305\pi\) | |||||||
\(920\) | −0.110754 | − | 2.68452i | −0.00365143 | − | 0.0885058i | ||||
\(921\) | 1.31719 | + | 12.5323i | 0.0434030 | + | 0.412952i | ||||
\(922\) | 1.11169 | + | 0.494956i | 0.0366115 | + | 0.0163005i | ||||
\(923\) | −4.64023 | − | 14.2812i | −0.152735 | − | 0.470070i | ||||
\(924\) | 45.7202 | − | 6.25769i | 1.50408 | − | 0.205863i | ||||
\(925\) | −6.95865 | − | 0.888343i | −0.228799 | − | 0.0292085i | ||||
\(926\) | −0.514399 | − | 0.890965i | −0.0169042 | − | 0.0292789i | ||||
\(927\) | −70.1322 | − | 14.9071i | −2.30344 | − | 0.489612i | ||||
\(928\) | 0.731975 | + | 6.96428i | 0.0240283 | + | 0.228614i | ||||
\(929\) | −33.3822 | − | 14.8627i | −1.09524 | − | 0.487630i | −0.222058 | − | 0.975033i | \(-0.571278\pi\) |
−0.873177 | + | 0.487403i | \(0.837944\pi\) | |||||||
\(930\) | −6.45171 | + | 16.2640i | −0.211560 | + | 0.533318i | ||||
\(931\) | 4.04594 | + | 23.9535i | 0.132600 | + | 0.785044i | ||||
\(932\) | −23.6654 | −0.775186 | ||||||||
\(933\) | −7.01018 | + | 66.6974i | −0.229503 | + | 2.18358i | ||||
\(934\) | 8.60509 | + | 9.55692i | 0.281567 | + | 0.312712i | ||||
\(935\) | 3.54638 | + | 85.9595i | 0.115979 | + | 2.81117i | ||||
\(936\) | 5.53063 | − | 6.14239i | 0.180774 | − | 0.200770i | ||||
\(937\) | −2.82486 | + | 8.69402i | −0.0922841 | + | 0.284021i | −0.986536 | − | 0.163542i | \(-0.947708\pi\) |
0.894252 | + | 0.447563i | \(0.147708\pi\) | |||||||
\(938\) | −3.88429 | + | 21.5742i | −0.126827 | + | 0.704422i | ||||
\(939\) | 22.2875 | + | 68.5940i | 0.727326 | + | 2.23848i | ||||
\(940\) | 12.2799 | + | 6.43004i | 0.400527 | + | 0.209725i | ||||
\(941\) | 30.2914 | + | 33.6420i | 0.987471 | + | 1.09670i | 0.995311 | + | 0.0967282i | \(0.0308378\pi\) |
−0.00783995 | + | 0.999969i | \(0.502496\pi\) | |||||||
\(942\) | −12.7642 | + | 5.68299i | −0.415881 | + | 0.185162i | ||||
\(943\) | 2.65942 | + | 4.60625i | 0.0866027 | + | 0.150000i | ||||
\(944\) | 4.93177 | + | 3.58314i | 0.160516 | + | 0.116621i | ||||
\(945\) | −43.1111 | + | 12.4891i | −1.40241 | + | 0.406271i | ||||
\(946\) | −35.2099 | + | 25.5815i | −1.14477 | + | 0.831727i | ||||
\(947\) | 17.7179 | + | 7.88853i | 0.575755 | + | 0.256343i | 0.673892 | − | 0.738830i | \(-0.264621\pi\) |
−0.0981363 | + | 0.995173i | \(0.531288\pi\) | |||||||
\(948\) | −29.8730 | − | 6.34969i | −0.970228 | − | 0.206228i | ||||
\(949\) | 0.260620 | − | 0.451407i | 0.00846007 | − | 0.0146533i | ||||
\(950\) | −6.70321 | − | 16.0050i | −0.217481 | − | 0.519269i | ||||
\(951\) | −39.5546 | −1.28265 | ||||||||
\(952\) | 17.0581 | + | 1.25458i | 0.552857 | + | 0.0406613i | ||||
\(953\) | −18.6738 | + | 13.5673i | −0.604904 | + | 0.439488i | −0.847616 | − | 0.530610i | \(-0.821963\pi\) |
0.242712 | + | 0.970098i | \(0.421963\pi\) | |||||||
\(954\) | 48.8828 | + | 21.7640i | 1.58264 | + | 0.704637i | ||||
\(955\) | −1.85128 | − | 44.8726i | −0.0599062 | − | 1.45204i | ||||
\(956\) | −8.98427 | + | 4.00006i | −0.290572 | + | 0.129371i | ||||
\(957\) | 61.0690 | + | 105.775i | 1.97408 | + | 3.41921i | ||||
\(958\) | −16.6989 | − | 12.1325i | −0.539518 | − | 0.391983i | ||||
\(959\) | −26.2451 | − | 22.1838i | −0.847498 | − | 0.716353i | ||||
\(960\) | 1.62554 | + | 6.34833i | 0.0524642 | + | 0.204892i | ||||
\(961\) | −15.9729 | + | 17.7397i | −0.515254 | + | 0.572247i | ||||
\(962\) | −1.38844 | − | 1.54202i | −0.0447650 | − | 0.0497166i | ||||
\(963\) | −42.5980 | − | 47.3098i | −1.37270 | − | 1.52454i | ||||
\(964\) | 8.94220 | − | 9.93132i | 0.288009 | − | 0.319866i | ||||
\(965\) | −6.42534 | − | 5.32259i | −0.206839 | − | 0.171340i | ||||
\(966\) | −8.76630 | + | 3.15496i | −0.282051 | + | 0.101509i | ||||
\(967\) | −0.898637 | − | 0.652898i | −0.0288982 | − | 0.0209958i | 0.573242 | − | 0.819386i | \(-0.305685\pi\) |
−0.602141 | + | 0.798390i | \(0.705685\pi\) | |||||||
\(968\) | −12.2100 | − | 21.1483i | −0.392444 | − | 0.679732i | ||||
\(969\) | 60.0660 | − | 26.7431i | 1.92960 | − | 0.859112i | ||||
\(970\) | 22.9389 | + | 6.42084i | 0.736523 | + | 0.206161i | ||||
\(971\) | 13.0331 | + | 5.80272i | 0.418253 | + | 0.186218i | 0.605063 | − | 0.796178i | \(-0.293148\pi\) |
−0.186810 | + | 0.982396i | \(0.559815\pi\) | |||||||
\(972\) | −5.44936 | + | 3.95919i | −0.174788 | + | 0.126991i | ||||
\(973\) | −0.327729 | − | 0.678133i | −0.0105065 | − | 0.0217400i | ||||
\(974\) | 36.1070 | 1.15694 | ||||||||
\(975\) | −18.5221 | − | 11.2506i | −0.593182 | − | 0.360307i | ||||
\(976\) | 4.38984 | − | 7.60343i | 0.140515 | − | 0.243380i | ||||
\(977\) | −22.5318 | − | 4.78928i | −0.720856 | − | 0.153223i | −0.167146 | − | 0.985932i | \(-0.553455\pi\) |
−0.553710 | + | 0.832709i | \(0.686788\pi\) | |||||||
\(978\) | −29.1877 | − | 12.9952i | −0.933320 | − | 0.415541i | ||||
\(979\) | −5.13773 | + | 3.73278i | −0.164202 | + | 0.119300i | ||||
\(980\) | −15.3133 | + | 3.24089i | −0.489165 | + | 0.103526i | ||||
\(981\) | 37.2186 | + | 27.0409i | 1.18830 | + | 0.863349i | ||||
\(982\) | 4.52839 | + | 7.84339i | 0.144507 | + | 0.250293i | ||||
\(983\) | 16.8262 | − | 7.49149i | 0.536671 | − | 0.238941i | −0.120459 | − | 0.992718i | \(-0.538437\pi\) |
0.657130 | + | 0.753777i | \(0.271770\pi\) | |||||||
\(984\) | −8.68046 | − | 9.64063i | −0.276723 | − | 0.307332i | ||||
\(985\) | −0.0433922 | − | 0.0875569i | −0.00138259 | − | 0.00278979i | ||||
\(986\) | 13.9894 | + | 43.0548i | 0.445512 | + | 1.37115i | ||||
\(987\) | 8.51708 | − | 47.3057i | 0.271102 | − | 1.50576i | ||||
\(988\) | 1.58603 | − | 4.88130i | 0.0504583 | − | 0.155295i | ||||
\(989\) | 5.87956 | − | 6.52991i | 0.186959 | − | 0.207639i | ||||
\(990\) | 46.1593 | + | 58.3170i | 1.46704 | + | 1.85344i | ||||
\(991\) | 12.6772 | + | 14.0794i | 0.402704 | + | 0.447248i | 0.910052 | − | 0.414493i | \(-0.136041\pi\) |
−0.507349 | + | 0.861741i | \(0.669374\pi\) | |||||||
\(992\) | 0.279092 | − | 2.65538i | 0.00886117 | − | 0.0843084i | ||||
\(993\) | −37.1542 | −1.17905 | ||||||||
\(994\) | −0.840797 | − | 26.8500i | −0.0266685 | − | 0.851630i | ||||
\(995\) | 0.777099 | + | 0.643730i | 0.0246357 | + | 0.0204076i | ||||
\(996\) | 16.0214 | + | 7.13318i | 0.507657 | + | 0.226023i | ||||
\(997\) | 3.80841 | + | 36.2346i | 0.120613 | + | 1.14756i | 0.872618 | + | 0.488403i | \(0.162420\pi\) |
−0.752005 | + | 0.659157i | \(0.770913\pi\) | |||||||
\(998\) | 20.3365 | + | 4.32265i | 0.643740 | + | 0.136831i | ||||
\(999\) | −5.32219 | − | 9.21830i | −0.168387 | − | 0.291654i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 350.2.q.c.81.10 | ✓ | 80 | |
7.2 | even | 3 | inner | 350.2.q.c.331.1 | yes | 80 | |
25.21 | even | 5 | inner | 350.2.q.c.221.1 | yes | 80 | |
175.121 | even | 15 | inner | 350.2.q.c.121.10 | yes | 80 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
350.2.q.c.81.10 | ✓ | 80 | 1.1 | even | 1 | trivial | |
350.2.q.c.121.10 | yes | 80 | 175.121 | even | 15 | inner | |
350.2.q.c.221.1 | yes | 80 | 25.21 | even | 5 | inner | |
350.2.q.c.331.1 | yes | 80 | 7.2 | even | 3 | inner |