Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [384,2,Mod(13,384)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(384, base_ring=CyclotomicField(32))
chi = DirichletCharacter(H, H._module([0, 15, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("384.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 384 = 2^{7} \cdot 3 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 384.v (of order \(32\), degree \(16\), 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: | \(3.06625543762\) |
Analytic rank: | \(0\) |
Dimension: | \(512\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{32})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{32}]$ |
Embedding invariants
Embedding label | 157.15 | ||
Character | \(\chi\) | \(=\) | 384.157 |
Dual form | 384.2.v.a.181.15 |
$q$-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 \(\left(\mathbb{Z}/384\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(133\) | \(257\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{27}{32}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.145323 | + | 1.40673i | −0.102759 | + | 0.994706i | ||||
\(3\) | −0.0980171 | + | 0.995185i | −0.0565902 | + | 0.574570i | ||||
\(4\) | −1.95776 | − | 0.408859i | −0.978881 | − | 0.204429i | ||||
\(5\) | 3.58870 | − | 1.91820i | 1.60491 | − | 0.857845i | 0.606905 | − | 0.794774i | \(-0.292411\pi\) |
0.998009 | − | 0.0630703i | \(-0.0200892\pi\) | |||||||
\(6\) | −1.38571 | − | 0.282506i | −0.565713 | − | 0.115333i | ||||
\(7\) | −0.464401 | − | 2.33470i | −0.175527 | − | 0.882433i | −0.963702 | − | 0.266982i | \(-0.913974\pi\) |
0.788175 | − | 0.615452i | \(-0.211026\pi\) | |||||||
\(8\) | 0.859660 | − | 2.69462i | 0.303936 | − | 0.952693i | ||||
\(9\) | −0.980785 | − | 0.195090i | −0.326928 | − | 0.0650301i | ||||
\(10\) | 2.17686 | + | 5.32708i | 0.688384 | + | 1.68457i | ||||
\(11\) | 2.45695 | − | 2.99380i | 0.740797 | − | 0.902664i | −0.257172 | − | 0.966366i | \(-0.582791\pi\) |
0.997969 | + | 0.0637020i | \(0.0202907\pi\) | |||||||
\(12\) | 0.598784 | − | 1.90826i | 0.172854 | − | 0.550867i | ||||
\(13\) | 0.816051 | − | 1.52672i | 0.226332 | − | 0.423437i | −0.742965 | − | 0.669330i | \(-0.766581\pi\) |
0.969297 | + | 0.245893i | \(0.0790812\pi\) | |||||||
\(14\) | 3.35177 | − | 0.314000i | 0.895799 | − | 0.0839200i | ||||
\(15\) | 1.55721 | + | 3.75943i | 0.402069 | + | 0.970681i | ||||
\(16\) | 3.66567 | + | 1.60090i | 0.916417 | + | 0.400224i | ||||
\(17\) | 0.917578 | − | 2.21523i | 0.222545 | − | 0.537272i | −0.772689 | − | 0.634785i | \(-0.781089\pi\) |
0.995234 | + | 0.0975130i | \(0.0310888\pi\) | |||||||
\(18\) | 0.416969 | − | 1.35135i | 0.0982806 | − | 0.318515i | ||||
\(19\) | −0.208613 | − | 0.687706i | −0.0478592 | − | 0.157771i | 0.929754 | − | 0.368182i | \(-0.120020\pi\) |
−0.977613 | + | 0.210411i | \(0.932520\pi\) | |||||||
\(20\) | −7.81009 | + | 2.28811i | −1.74639 | + | 0.511636i | ||||
\(21\) | 2.36898 | − | 0.233324i | 0.516953 | − | 0.0509154i | ||||
\(22\) | 3.85440 | + | 3.89132i | 0.821762 | + | 0.829632i | ||||
\(23\) | −6.95064 | + | 4.64427i | −1.44931 | + | 0.968397i | −0.452239 | + | 0.891897i | \(0.649375\pi\) |
−0.997070 | + | 0.0765003i | \(0.975625\pi\) | |||||||
\(24\) | 2.59738 | + | 1.11964i | 0.530189 | + | 0.228546i | ||||
\(25\) | 6.42141 | − | 9.61032i | 1.28428 | − | 1.92206i | ||||
\(26\) | 2.02909 | + | 1.36983i | 0.397938 | + | 0.268646i | ||||
\(27\) | 0.290285 | − | 0.956940i | 0.0558653 | − | 0.184163i | ||||
\(28\) | −0.0453765 | + | 4.76066i | −0.00857536 | + | 0.899680i | ||||
\(29\) | −5.23271 | + | 4.29437i | −0.971689 | + | 0.797445i | −0.979277 | − | 0.202527i | \(-0.935085\pi\) |
0.00758779 | + | 0.999971i | \(0.497585\pi\) | |||||||
\(30\) | −5.51479 | + | 1.64424i | −1.00686 | + | 0.300195i | ||||
\(31\) | −5.24169 | + | 5.24169i | −0.941435 | + | 0.941435i | −0.998377 | − | 0.0569428i | \(-0.981865\pi\) |
0.0569428 | + | 0.998377i | \(0.481865\pi\) | |||||||
\(32\) | −2.78473 | + | 4.92395i | −0.492276 | + | 0.870439i | ||||
\(33\) | 2.73856 | + | 2.73856i | 0.476722 | + | 0.476722i | ||||
\(34\) | 2.98288 | + | 1.61270i | 0.511559 | + | 0.276576i | ||||
\(35\) | −6.14501 | − | 7.48772i | −1.03870 | − | 1.26565i | ||||
\(36\) | 1.84038 | + | 0.782943i | 0.306730 | + | 0.130491i | ||||
\(37\) | 8.27040 | + | 2.50880i | 1.35964 | + | 0.412444i | 0.884121 | − | 0.467259i | \(-0.154758\pi\) |
0.475524 | + | 0.879703i | \(0.342258\pi\) | |||||||
\(38\) | 0.997731 | − | 0.193523i | 0.161853 | − | 0.0313935i | ||||
\(39\) | 1.43939 | + | 0.961767i | 0.230486 | + | 0.154006i | ||||
\(40\) | −2.08376 | − | 11.3192i | −0.329471 | − | 1.78972i | ||||
\(41\) | 3.81647 | + | 5.71175i | 0.596032 | + | 0.892025i | 0.999739 | − | 0.0228635i | \(-0.00727831\pi\) |
−0.403707 | + | 0.914889i | \(0.632278\pi\) | |||||||
\(42\) | −0.0160432 | + | 3.36641i | −0.00247552 | + | 0.519448i | ||||
\(43\) | 0.834759 | + | 8.47545i | 0.127300 | + | 1.29249i | 0.820457 | + | 0.571708i | \(0.193719\pi\) |
−0.693158 | + | 0.720786i | \(0.743781\pi\) | |||||||
\(44\) | −6.03416 | + | 4.85660i | −0.909683 | + | 0.732160i | ||||
\(45\) | −3.89396 | + | 1.18122i | −0.580478 | + | 0.176086i | ||||
\(46\) | −5.52313 | − | 10.4526i | −0.814342 | − | 1.54115i | ||||
\(47\) | 2.77406 | + | 1.14905i | 0.404638 | + | 0.167607i | 0.575714 | − | 0.817651i | \(-0.304724\pi\) |
−0.171075 | + | 0.985258i | \(0.554724\pi\) | |||||||
\(48\) | −1.95249 | + | 3.49110i | −0.281817 | + | 0.503897i | ||||
\(49\) | 1.23201 | − | 0.510313i | 0.176001 | − | 0.0729019i | ||||
\(50\) | 12.5859 | + | 10.4298i | 1.77992 | + | 1.47499i | ||||
\(51\) | 2.11462 | + | 1.13029i | 0.296106 | + | 0.158272i | ||||
\(52\) | −2.22185 | + | 2.65531i | −0.308115 | + | 0.368226i | ||||
\(53\) | −5.60232 | − | 4.59771i | −0.769538 | − | 0.631544i | 0.165452 | − | 0.986218i | \(-0.447092\pi\) |
−0.934990 | + | 0.354674i | \(0.884592\pi\) | |||||||
\(54\) | 1.30397 | + | 0.547417i | 0.177448 | + | 0.0744940i | ||||
\(55\) | 3.07454 | − | 15.4567i | 0.414570 | − | 2.08419i | ||||
\(56\) | −6.69036 | − | 0.755665i | −0.894036 | − | 0.100980i | ||||
\(57\) | 0.704842 | − | 0.140202i | 0.0933587 | − | 0.0185702i | ||||
\(58\) | −5.28058 | − | 7.98506i | −0.693374 | − | 1.04849i | ||||
\(59\) | −0.745894 | − | 1.39547i | −0.0971071 | − | 0.181675i | 0.828677 | − | 0.559727i | \(-0.189094\pi\) |
−0.925784 | + | 0.378052i | \(0.876594\pi\) | |||||||
\(60\) | −1.51157 | − | 7.99676i | −0.195142 | − | 1.03238i | ||||
\(61\) | −0.755696 | − | 0.0744296i | −0.0967570 | − | 0.00952973i | 0.0495228 | − | 0.998773i | \(-0.484230\pi\) |
−0.146280 | + | 0.989243i | \(0.546730\pi\) | |||||||
\(62\) | −6.61189 | − | 8.13536i | −0.839710 | − | 1.03319i | ||||
\(63\) | 2.38044i | 0.299907i | ||||||||
\(64\) | −6.52197 | − | 4.63292i | −0.815246 | − | 0.579115i | ||||
\(65\) | − | 7.04430i | − | 0.873738i | ||||||
\(66\) | −4.25038 | + | 3.45443i | −0.523185 | + | 0.425211i | ||||
\(67\) | 1.26499 | + | 0.124590i | 0.154543 | + | 0.0152211i | 0.174993 | − | 0.984570i | \(-0.444010\pi\) |
−0.0204499 | + | 0.999791i | \(0.506510\pi\) | |||||||
\(68\) | −2.70211 | + | 3.96173i | −0.327680 | + | 0.480430i | ||||
\(69\) | −3.94062 | − | 7.37239i | −0.474395 | − | 0.887531i | ||||
\(70\) | 11.4262 | − | 7.55622i | 1.36569 | − | 0.903141i | ||||
\(71\) | 0.459307 | − | 0.0913619i | 0.0545097 | − | 0.0108427i | −0.167760 | − | 0.985828i | \(-0.553653\pi\) |
0.222270 | + | 0.974985i | \(0.428653\pi\) | |||||||
\(72\) | −1.36884 | + | 2.47513i | −0.161319 | + | 0.291697i | ||||
\(73\) | −0.858965 | + | 4.31831i | −0.100534 | + | 0.505420i | 0.897402 | + | 0.441213i | \(0.145452\pi\) |
−0.997937 | + | 0.0642066i | \(0.979548\pi\) | |||||||
\(74\) | −4.73107 | + | 11.2696i | −0.549976 | + | 1.31007i | ||||
\(75\) | 8.93464 | + | 7.33247i | 1.03168 | + | 0.846680i | ||||
\(76\) | 0.127241 | + | 1.43166i | 0.0145955 | + | 0.164223i | ||||
\(77\) | −8.13062 | − | 4.34591i | −0.926570 | − | 0.495262i | ||||
\(78\) | −1.56212 | + | 1.88506i | −0.176875 | + | 0.213441i | ||||
\(79\) | 14.1140 | − | 5.84620i | 1.58795 | − | 0.657749i | 0.598300 | − | 0.801272i | \(-0.295843\pi\) |
0.989647 | + | 0.143523i | \(0.0458431\pi\) | |||||||
\(80\) | 16.2258 | − | 1.28635i | 1.81410 | − | 0.143818i | ||||
\(81\) | 0.923880 | + | 0.382683i | 0.102653 | + | 0.0425204i | ||||
\(82\) | −8.58949 | + | 4.53868i | −0.948550 | + | 0.501214i | ||||
\(83\) | −9.33541 | + | 2.83187i | −1.02469 | + | 0.310838i | −0.757521 | − | 0.652811i | \(-0.773590\pi\) |
−0.267173 | + | 0.963648i | \(0.586090\pi\) | |||||||
\(84\) | −4.73329 | − | 0.511784i | −0.516444 | − | 0.0558403i | ||||
\(85\) | −0.956340 | − | 9.70988i | −0.103730 | − | 1.05318i | ||||
\(86\) | −12.0440 | − | 0.0573975i | −1.29873 | − | 0.00618933i | ||||
\(87\) | −3.76080 | − | 5.62843i | −0.403200 | − | 0.603431i | ||||
\(88\) | −5.95501 | − | 9.19419i | −0.634806 | − | 0.980103i | ||||
\(89\) | 2.54044 | + | 1.69747i | 0.269286 | + | 0.179931i | 0.682881 | − | 0.730530i | \(-0.260727\pi\) |
−0.413594 | + | 0.910461i | \(0.635727\pi\) | |||||||
\(90\) | −1.09577 | − | 5.64940i | −0.115505 | − | 0.595499i | ||||
\(91\) | −3.94342 | − | 1.19622i | −0.413383 | − | 0.125398i | ||||
\(92\) | 15.5066 | − | 6.25055i | 1.61667 | − | 0.651664i | ||||
\(93\) | −4.70267 | − | 5.73022i | −0.487644 | − | 0.594196i | ||||
\(94\) | −2.01954 | + | 3.73536i | −0.208300 | + | 0.385273i | ||||
\(95\) | −2.06781 | − | 2.06781i | −0.212153 | − | 0.212153i | ||||
\(96\) | −4.62729 | − | 3.25395i | −0.472271 | − | 0.332105i | ||||
\(97\) | 6.99279 | − | 6.99279i | 0.710010 | − | 0.710010i | −0.256527 | − | 0.966537i | \(-0.582578\pi\) |
0.966537 | + | 0.256527i | \(0.0825782\pi\) | |||||||
\(98\) | 0.538833 | + | 1.80726i | 0.0544304 | + | 0.182560i | ||||
\(99\) | −2.99380 | + | 2.45695i | −0.300888 | + | 0.246932i | ||||
\(100\) | −16.5009 | + | 16.1893i | −1.65009 | + | 1.61893i | ||||
\(101\) | −3.44088 | + | 11.3431i | −0.342381 | + | 1.12868i | 0.601633 | + | 0.798773i | \(0.294517\pi\) |
−0.944014 | + | 0.329906i | \(0.892983\pi\) | |||||||
\(102\) | −1.89731 | + | 2.81044i | −0.187862 | + | 0.278275i | ||||
\(103\) | 3.34569 | − | 5.00718i | 0.329661 | − | 0.493372i | −0.629202 | − | 0.777242i | \(-0.716618\pi\) |
0.958863 | + | 0.283870i | \(0.0916183\pi\) | |||||||
\(104\) | −3.41242 | − | 3.51141i | −0.334615 | − | 0.344323i | ||||
\(105\) | 8.05398 | − | 5.38150i | 0.785988 | − | 0.525180i | ||||
\(106\) | 7.28187 | − | 7.21279i | 0.707277 | − | 0.700568i | ||||
\(107\) | 18.0955 | − | 1.78225i | 1.74936 | − | 0.172297i | 0.827925 | − | 0.560838i | \(-0.189521\pi\) |
0.921431 | + | 0.388542i | \(0.127021\pi\) | |||||||
\(108\) | −0.959562 | + | 1.75478i | −0.0923339 | + | 0.168853i | ||||
\(109\) | 5.59968 | + | 18.4597i | 0.536352 | + | 1.76812i | 0.634476 | + | 0.772942i | \(0.281216\pi\) |
−0.0981238 | + | 0.995174i | \(0.531284\pi\) | |||||||
\(110\) | 21.2966 | + | 6.57125i | 2.03055 | + | 0.626544i | ||||
\(111\) | −3.30736 | + | 7.98467i | −0.313920 | + | 0.757871i | ||||
\(112\) | 2.03527 | − | 9.30169i | 0.192315 | − | 0.878927i | ||||
\(113\) | −5.13713 | − | 12.4021i | −0.483260 | − | 1.16669i | −0.958052 | − | 0.286595i | \(-0.907477\pi\) |
0.474792 | − | 0.880098i | \(-0.342523\pi\) | |||||||
\(114\) | 0.0947961 | + | 1.01190i | 0.00887847 | + | 0.0947727i | ||||
\(115\) | −16.0351 | + | 29.9996i | −1.49528 | + | 2.79748i | ||||
\(116\) | 12.0002 | − | 6.26792i | 1.11419 | − | 0.581962i | ||||
\(117\) | −1.09822 | + | 1.33819i | −0.101531 | + | 0.123715i | ||||
\(118\) | 2.07144 | − | 0.846476i | 0.190692 | − | 0.0779244i | ||||
\(119\) | −5.59801 | − | 1.11351i | −0.513169 | − | 0.102076i | ||||
\(120\) | 11.4689 | − | 0.964251i | 1.04696 | − | 0.0880237i | ||||
\(121\) | −0.780244 | − | 3.92255i | −0.0709313 | − | 0.356596i | ||||
\(122\) | 0.214522 | − | 1.05224i | 0.0194219 | − | 0.0952655i | ||||
\(123\) | −6.05832 | + | 3.23824i | −0.546261 | + | 0.291982i | ||||
\(124\) | 12.4051 | − | 8.11887i | 1.11401 | − | 0.729096i | ||||
\(125\) | 2.61575 | − | 26.5581i | 0.233960 | − | 2.37543i | ||||
\(126\) | −3.34863 | − | 0.345932i | −0.298319 | − | 0.0308181i | ||||
\(127\) | −6.64223 | −0.589403 | −0.294701 | − | 0.955589i | \(-0.595220\pi\) | ||||
−0.294701 | + | 0.955589i | \(0.595220\pi\) | |||||||
\(128\) | 7.46504 | − | 8.50136i | 0.659823 | − | 0.751421i | ||||
\(129\) | −8.51646 | −0.749832 | ||||||||
\(130\) | 9.90941 | + | 1.02370i | 0.869113 | + | 0.0897842i | ||||
\(131\) | −0.156907 | + | 1.59310i | −0.0137090 | + | 0.139190i | −0.999603 | − | 0.0281822i | \(-0.991028\pi\) |
0.985894 | + | 0.167372i | \(0.0535281\pi\) | |||||||
\(132\) | −4.24176 | − | 6.48113i | −0.369198 | − | 0.564110i | ||||
\(133\) | −1.50871 | + | 0.806421i | −0.130821 | + | 0.0699255i | ||||
\(134\) | −0.359096 | + | 1.76138i | −0.0310211 | + | 0.152160i | ||||
\(135\) | −0.793858 | − | 3.99099i | −0.0683244 | − | 0.343490i | ||||
\(136\) | −5.18040 | − | 4.37687i | −0.444215 | − | 0.375313i | ||||
\(137\) | 5.04237 | + | 1.00299i | 0.430799 | + | 0.0856912i | 0.405727 | − | 0.913994i | \(-0.367018\pi\) |
0.0250721 | + | 0.999686i | \(0.492018\pi\) | |||||||
\(138\) | 10.9436 | − | 4.47201i | 0.931581 | − | 0.380683i | ||||
\(139\) | −9.77771 | + | 11.9142i | −0.829334 | + | 1.01055i | 0.170349 | + | 0.985384i | \(0.445510\pi\) |
−0.999683 | + | 0.0251630i | \(0.991990\pi\) | |||||||
\(140\) | 8.96905 | + | 17.1716i | 0.758023 | + | 1.45127i | ||||
\(141\) | −1.41543 | + | 2.64808i | −0.119200 | + | 0.223008i | ||||
\(142\) | 0.0617735 | + | 0.659397i | 0.00518391 | + | 0.0553354i | ||||
\(143\) | −2.56571 | − | 6.19417i | −0.214555 | − | 0.517983i | ||||
\(144\) | −3.28291 | − | 2.28527i | −0.273576 | − | 0.190439i | ||||
\(145\) | −10.5411 | + | 25.4486i | −0.875394 | + | 2.11339i | ||||
\(146\) | −5.94985 | − | 1.83588i | −0.492413 | − | 0.151938i | ||||
\(147\) | 0.387098 | + | 1.27609i | 0.0319273 | + | 0.105250i | ||||
\(148\) | −15.1657 | − | 8.29306i | −1.24662 | − | 0.681685i | ||||
\(149\) | −21.1707 | + | 2.08513i | −1.73437 | + | 0.170820i | −0.915272 | − | 0.402837i | \(-0.868024\pi\) |
−0.819096 | + | 0.573657i | \(0.805524\pi\) | |||||||
\(150\) | −11.6132 | + | 11.5030i | −0.948213 | + | 0.939218i | ||||
\(151\) | 1.51218 | − | 1.01041i | 0.123060 | − | 0.0822259i | −0.492517 | − | 0.870303i | \(-0.663923\pi\) |
0.615577 | + | 0.788077i | \(0.288923\pi\) | |||||||
\(152\) | −2.03244 | − | 0.0290596i | −0.164853 | − | 0.00235705i | ||||
\(153\) | −1.33212 | + | 1.99365i | −0.107695 | + | 0.161177i | ||||
\(154\) | 7.29507 | − | 10.8060i | 0.587853 | − | 0.870773i | ||||
\(155\) | −8.75623 | + | 28.8654i | −0.703317 | + | 2.31853i | ||||
\(156\) | −2.42475 | − | 2.47142i | −0.194135 | − | 0.197872i | ||||
\(157\) | −4.19016 | + | 3.43878i | −0.334411 | + | 0.274444i | −0.786580 | − | 0.617488i | \(-0.788150\pi\) |
0.452169 | + | 0.891932i | \(0.350650\pi\) | |||||||
\(158\) | 6.17293 | + | 20.7041i | 0.491092 | + | 1.64713i | ||||
\(159\) | 5.12469 | − | 5.12469i | 0.406415 | − | 0.406415i | ||||
\(160\) | −0.548443 | + | 23.0122i | −0.0433583 | + | 1.81928i | ||||
\(161\) | 14.0709 | + | 14.0709i | 1.10894 | + | 1.10894i | ||||
\(162\) | −0.672592 | + | 1.24403i | −0.0528438 | + | 0.0977405i | ||||
\(163\) | −6.53545 | − | 7.96347i | −0.511896 | − | 0.623747i | 0.451357 | − | 0.892344i | \(-0.350940\pi\) |
−0.963253 | + | 0.268596i | \(0.913440\pi\) | |||||||
\(164\) | −5.13644 | − | 12.7426i | −0.401088 | − | 0.995033i | ||||
\(165\) | 15.0810 | + | 4.57476i | 1.17405 | + | 0.356144i | ||||
\(166\) | −2.62701 | − | 13.5439i | −0.203896 | − | 1.05121i | ||||
\(167\) | −8.68745 | − | 5.80477i | −0.672255 | − | 0.449187i | 0.172022 | − | 0.985093i | \(-0.444970\pi\) |
−0.844277 | + | 0.535906i | \(0.819970\pi\) | |||||||
\(168\) | 1.40780 | − | 6.58407i | 0.108614 | − | 0.507972i | ||||
\(169\) | 5.55746 | + | 8.31733i | 0.427497 | + | 0.639795i | ||||
\(170\) | 13.7981 | + | 0.0657574i | 1.05827 | + | 0.00504336i | ||||
\(171\) | 0.0704401 | + | 0.715191i | 0.00538669 | + | 0.0546920i | ||||
\(172\) | 1.83100 | − | 16.9342i | 0.139613 | − | 1.29122i | ||||
\(173\) | −6.17933 | + | 1.87448i | −0.469806 | + | 0.142514i | −0.516306 | − | 0.856404i | \(-0.672693\pi\) |
0.0465000 | + | 0.998918i | \(0.485193\pi\) | |||||||
\(174\) | 8.46419 | − | 4.47248i | 0.641669 | − | 0.339058i | ||||
\(175\) | −25.4193 | − | 10.5290i | −1.92152 | − | 0.795919i | ||||
\(176\) | 13.7991 | − | 7.04095i | 1.04015 | − | 0.530732i | ||||
\(177\) | 1.46186 | − | 0.605522i | 0.109880 | − | 0.0455139i | ||||
\(178\) | −2.75706 | + | 3.32703i | −0.206650 | + | 0.249371i | ||||
\(179\) | −0.882040 | − | 0.471460i | −0.0659267 | − | 0.0352386i | 0.438104 | − | 0.898924i | \(-0.355650\pi\) |
−0.504031 | + | 0.863686i | \(0.668150\pi\) | |||||||
\(180\) | 8.10641 | − | 0.720469i | 0.604216 | − | 0.0537006i | ||||
\(181\) | −4.31589 | − | 3.54196i | −0.320798 | − | 0.263272i | 0.460187 | − | 0.887822i | \(-0.347782\pi\) |
−0.780985 | + | 0.624550i | \(0.785282\pi\) | |||||||
\(182\) | 2.25583 | − | 5.37347i | 0.167213 | − | 0.398308i | ||||
\(183\) | 0.148142 | − | 0.744762i | 0.0109510 | − | 0.0550544i | ||||
\(184\) | 6.53936 | + | 22.7218i | 0.482088 | + | 1.67508i | ||||
\(185\) | 34.4923 | − | 6.86095i | 2.53593 | − | 0.504427i | ||||
\(186\) | 8.74426 | − | 5.78264i | 0.641160 | − | 0.424004i | ||||
\(187\) | −4.37750 | − | 8.18973i | −0.320115 | − | 0.598893i | ||||
\(188\) | −4.96115 | − | 3.38377i | −0.361829 | − | 0.246787i | ||||
\(189\) | −2.36898 | − | 0.233324i | −0.172318 | − | 0.0169718i | ||||
\(190\) | 3.20934 | − | 2.60834i | 0.232830 | − | 0.189229i | ||||
\(191\) | 17.4199i | 1.26046i | 0.776410 | + | 0.630229i | \(0.217039\pi\) | ||||
−0.776410 | + | 0.630229i | \(0.782961\pi\) | |||||||
\(192\) | 5.24987 | − | 6.03646i | 0.378877 | − | 0.435644i | ||||
\(193\) | 5.39374i | 0.388250i | 0.980977 | + | 0.194125i | \(0.0621868\pi\) | ||||
−0.980977 | + | 0.194125i | \(0.937813\pi\) | |||||||
\(194\) | 8.82074 | + | 10.8532i | 0.633292 | + | 0.779211i | ||||
\(195\) | 7.01038 | + | 0.690462i | 0.502024 | + | 0.0494450i | ||||
\(196\) | −2.62062 | + | 0.495356i | −0.187187 | + | 0.0353826i | ||||
\(197\) | −12.4716 | − | 23.3327i | −0.888563 | − | 1.66239i | −0.739077 | − | 0.673621i | \(-0.764738\pi\) |
−0.149487 | − | 0.988764i | \(-0.547762\pi\) | |||||||
\(198\) | −3.02119 | − | 4.56851i | −0.214706 | − | 0.324670i | ||||
\(199\) | 21.2643 | − | 4.22974i | 1.50739 | − | 0.299838i | 0.628856 | − | 0.777521i | \(-0.283523\pi\) |
0.878532 | + | 0.477683i | \(0.158523\pi\) | |||||||
\(200\) | −20.3759 | − | 25.5649i | −1.44080 | − | 1.80771i | ||||
\(201\) | −0.247981 | + | 1.24668i | −0.0174912 | + | 0.0879342i | ||||
\(202\) | −15.4566 | − | 6.48879i | −1.08752 | − | 0.456550i | ||||
\(203\) | 12.4561 | + | 10.2225i | 0.874249 | + | 0.717478i | ||||
\(204\) | −3.67780 | − | 3.07742i | −0.257498 | − | 0.215463i | ||||
\(205\) | 24.6524 | + | 13.1770i | 1.72180 | + | 0.920321i | ||||
\(206\) | 6.55753 | + | 5.43413i | 0.456885 | + | 0.378614i | ||||
\(207\) | 7.72314 | − | 3.19903i | 0.536795 | − | 0.222348i | ||||
\(208\) | 5.43550 | − | 4.29005i | 0.376884 | − | 0.297462i | ||||
\(209\) | −2.57140 | − | 1.06511i | −0.177868 | − | 0.0736752i | ||||
\(210\) | 6.39987 | + | 12.1118i | 0.441633 | + | 0.835794i | ||||
\(211\) | 14.6983 | − | 4.45868i | 1.01187 | − | 0.306948i | 0.259541 | − | 0.965732i | \(-0.416429\pi\) |
0.752332 | + | 0.658784i | \(0.228929\pi\) | |||||||
\(212\) | 9.08821 | + | 11.2918i | 0.624181 | + | 0.775523i | ||||
\(213\) | 0.0459020 | + | 0.466051i | 0.00314515 | + | 0.0319333i | ||||
\(214\) | −0.122546 | + | 25.7144i | −0.00837710 | + | 1.75780i | ||||
\(215\) | 19.2533 | + | 28.8146i | 1.31306 | + | 1.96514i | ||||
\(216\) | −2.32905 | − | 1.60485i | −0.158471 | − | 0.109196i | ||||
\(217\) | 14.6720 | + | 9.80352i | 0.996000 | + | 0.665506i | ||||
\(218\) | −26.7815 | + | 5.19461i | −1.81387 | + | 0.351824i | ||||
\(219\) | −4.21332 | − | 1.27810i | −0.284710 | − | 0.0863658i | ||||
\(220\) | −12.3388 | + | 29.0036i | −0.831884 | + | 1.95542i | ||||
\(221\) | −2.63325 | − | 3.20863i | −0.177132 | − | 0.215836i | ||||
\(222\) | −10.7516 | − | 5.81290i | −0.721601 | − | 0.390137i | ||||
\(223\) | −10.8220 | − | 10.8220i | −0.724698 | − | 0.724698i | 0.244861 | − | 0.969558i | \(-0.421258\pi\) |
−0.969558 | + | 0.244861i | \(0.921258\pi\) | |||||||
\(224\) | 12.7892 | + | 4.21482i | 0.854512 | + | 0.281615i | ||||
\(225\) | −8.17291 | + | 8.17291i | −0.544860 | + | 0.544860i | ||||
\(226\) | 18.1929 | − | 5.42422i | 1.21018 | − | 0.360814i | ||||
\(227\) | 2.97786 | − | 2.44386i | 0.197647 | − | 0.162205i | −0.530364 | − | 0.847770i | \(-0.677945\pi\) |
0.728011 | + | 0.685565i | \(0.240445\pi\) | |||||||
\(228\) | −1.43724 | − | 0.0136991i | −0.0951833 | − | 0.000907246i | ||||
\(229\) | −1.34856 | + | 4.44562i | −0.0891155 | + | 0.293775i | −0.990158 | − | 0.139957i | \(-0.955303\pi\) |
0.901042 | + | 0.433732i | \(0.142803\pi\) | |||||||
\(230\) | −39.8710 | − | 26.9166i | −2.62901 | − | 1.77483i | ||||
\(231\) | 5.12192 | − | 7.66550i | 0.336998 | − | 0.504353i | ||||
\(232\) | 7.07335 | + | 17.7919i | 0.464388 | + | 1.16809i | ||||
\(233\) | −6.27986 | + | 4.19607i | −0.411407 | + | 0.274893i | −0.744003 | − | 0.668176i | \(-0.767075\pi\) |
0.332596 | + | 0.943069i | \(0.392075\pi\) | |||||||
\(234\) | −1.72287 | − | 1.73937i | −0.112627 | − | 0.113706i | ||||
\(235\) | 12.1594 | − | 1.19759i | 0.793191 | − | 0.0781225i | ||||
\(236\) | 0.889733 | + | 3.03696i | 0.0579167 | + | 0.197690i | ||||
\(237\) | 4.43464 | + | 14.6190i | 0.288061 | + | 0.949609i | ||||
\(238\) | 2.37993 | − | 7.71306i | 0.154268 | − | 0.499963i | ||||
\(239\) | −0.385680 | + | 0.931115i | −0.0249476 | + | 0.0602288i | −0.935862 | − | 0.352366i | \(-0.885377\pi\) |
0.910915 | + | 0.412594i | \(0.135377\pi\) | |||||||
\(240\) | −0.310257 | + | 16.2738i | −0.0200270 | + | 1.05047i | ||||
\(241\) | −1.46802 | − | 3.54411i | −0.0945634 | − | 0.228296i | 0.869519 | − | 0.493899i | \(-0.164429\pi\) |
−0.964082 | + | 0.265603i | \(0.914429\pi\) | |||||||
\(242\) | 5.63135 | − | 0.527554i | 0.361997 | − | 0.0339125i | ||||
\(243\) | −0.471397 | + | 0.881921i | −0.0302401 | + | 0.0565753i | ||||
\(244\) | 1.44904 | + | 0.454689i | 0.0927655 | + | 0.0291085i | ||||
\(245\) | 3.44241 | − | 4.19459i | 0.219928 | − | 0.267983i | ||||
\(246\) | −3.67491 | − | 8.99300i | −0.234304 | − | 0.573373i | ||||
\(247\) | −1.22018 | − | 0.242708i | −0.0776380 | − | 0.0154432i | ||||
\(248\) | 9.61829 | + | 18.6304i | 0.610762 | + | 1.18303i | ||||
\(249\) | −1.90320 | − | 9.56803i | −0.120610 | − | 0.606349i | ||||
\(250\) | 36.9799 | + | 7.53915i | 2.33882 | + | 0.476818i | ||||
\(251\) | 10.4434 | − | 5.58213i | 0.659183 | − | 0.352341i | −0.107649 | − | 0.994189i | \(-0.534332\pi\) |
0.766832 | + | 0.641848i | \(0.221832\pi\) | |||||||
\(252\) | 0.973263 | − | 4.66033i | 0.0613098 | − | 0.293573i | ||||
\(253\) | −3.17335 | + | 32.2195i | −0.199507 | + | 2.02562i | ||||
\(254\) | 0.965268 | − | 9.34381i | 0.0605663 | − | 0.586283i | ||||
\(255\) | 9.75686 | 0.610998 | ||||||||
\(256\) | 10.8743 | + | 11.7367i | 0.679641 | + | 0.733545i | ||||
\(257\) | −26.9794 | −1.68293 | −0.841465 | − | 0.540312i | \(-0.818306\pi\) | ||||
−0.841465 | + | 0.540312i | \(0.818306\pi\) | |||||||
\(258\) | 1.23763 | − | 11.9803i | 0.0770518 | − | 0.745863i | ||||
\(259\) | 2.01651 | − | 20.4740i | 0.125300 | − | 1.27219i | ||||
\(260\) | −2.88013 | + | 13.7911i | −0.178618 | + | 0.855286i | ||||
\(261\) | 5.96995 | − | 3.19100i | 0.369531 | − | 0.197518i | ||||
\(262\) | −2.21826 | − | 0.452239i | −0.137044 | − | 0.0279394i | ||||
\(263\) | 1.31512 | + | 6.61158i | 0.0810941 | + | 0.407687i | 0.999915 | + | 0.0130134i | \(0.00414242\pi\) |
−0.918821 | + | 0.394674i | \(0.870858\pi\) | |||||||
\(264\) | 9.73361 | − | 5.02515i | 0.599062 | − | 0.309276i | ||||
\(265\) | −28.9244 | − | 5.75341i | −1.77681 | − | 0.353429i | ||||
\(266\) | −0.915164 | − | 2.23953i | −0.0561123 | − | 0.137314i | ||||
\(267\) | −1.93830 | + | 2.36183i | −0.118622 | + | 0.144542i | ||||
\(268\) | −2.42560 | − | 0.761119i | −0.148167 | − | 0.0464927i | ||||
\(269\) | −14.3316 | + | 26.8125i | −0.873810 | + | 1.63478i | −0.105763 | + | 0.994391i | \(0.533728\pi\) |
−0.768047 | + | 0.640393i | \(0.778772\pi\) | |||||||
\(270\) | 5.72960 | − | 0.536759i | 0.348693 | − | 0.0326661i | ||||
\(271\) | −3.78566 | − | 9.13939i | −0.229963 | − | 0.555179i | 0.766210 | − | 0.642591i | \(-0.222140\pi\) |
−0.996172 | + | 0.0874119i | \(0.972140\pi\) | |||||||
\(272\) | 6.90989 | − | 6.65135i | 0.418974 | − | 0.403297i | ||||
\(273\) | 1.57699 | − | 3.80718i | 0.0954435 | − | 0.230421i | ||||
\(274\) | −2.14370 | + | 6.94748i | −0.129506 | + | 0.419713i | ||||
\(275\) | −12.9943 | − | 42.8364i | −0.783585 | − | 2.58313i | ||||
\(276\) | 4.70054 | + | 16.0445i | 0.282939 | + | 0.965768i | ||||
\(277\) | −9.91805 | + | 0.976842i | −0.595918 | + | 0.0586928i | −0.391480 | − | 0.920187i | \(-0.628037\pi\) |
−0.204438 | + | 0.978880i | \(0.565537\pi\) | |||||||
\(278\) | −15.3391 | − | 15.4860i | −0.919976 | − | 0.928787i | ||||
\(279\) | 6.16357 | − | 4.11837i | 0.369003 | − | 0.246560i | ||||
\(280\) | −25.4592 | + | 10.1216i | −1.52148 | + | 0.604880i | ||||
\(281\) | 11.2704 | − | 16.8674i | 0.672336 | − | 1.00622i | −0.325814 | − | 0.945434i | \(-0.605638\pi\) |
0.998151 | − | 0.0607885i | \(-0.0193615\pi\) | |||||||
\(282\) | −3.51943 | − | 2.37594i | −0.209579 | − | 0.141485i | ||||
\(283\) | 3.19988 | − | 10.5486i | 0.190213 | − | 0.627048i | −0.809016 | − | 0.587787i | \(-0.799999\pi\) |
0.999229 | − | 0.0392616i | \(-0.0125006\pi\) | |||||||
\(284\) | −0.936569 | − | 0.00892696i | −0.0555751 | − | 0.000529718i | ||||
\(285\) | 2.26053 | − | 1.85517i | 0.133902 | − | 0.109891i | ||||
\(286\) | 9.08637 | − | 2.70910i | 0.537288 | − | 0.160192i | ||||
\(287\) | 11.5628 | − | 11.5628i | 0.682533 | − | 0.682533i | ||||
\(288\) | 3.69184 | − | 4.28606i | 0.217544 | − | 0.252559i | ||||
\(289\) | 7.95553 | + | 7.95553i | 0.467972 | + | 0.467972i | ||||
\(290\) | −34.2673 | − | 18.5268i | −2.01225 | − | 1.08793i | ||||
\(291\) | 6.27370 | + | 7.64453i | 0.367771 | + | 0.448130i | ||||
\(292\) | 3.44723 | − | 8.10302i | 0.201734 | − | 0.474194i | ||||
\(293\) | −29.4135 | − | 8.92249i | −1.71836 | − | 0.521257i | −0.731358 | − | 0.681994i | \(-0.761113\pi\) |
−0.986997 | + | 0.160736i | \(0.948613\pi\) | |||||||
\(294\) | −1.85137 | + | 0.359096i | −0.107974 | + | 0.0209429i | ||||
\(295\) | −5.35358 | − | 3.57715i | −0.311697 | − | 0.208269i | ||||
\(296\) | 13.8700 | − | 20.1289i | 0.806177 | − | 1.16997i | ||||
\(297\) | −2.15167 | − | 3.22020i | −0.124853 | − | 0.186855i | ||||
\(298\) | 0.143372 | − | 30.0843i | 0.00830532 | − | 1.74274i | ||||
\(299\) | 1.41844 | + | 14.4017i | 0.0820306 | + | 0.832871i | ||||
\(300\) | −14.4940 | − | 18.0082i | −0.836809 | − | 1.03971i | ||||
\(301\) | 19.4000 | − | 5.88491i | 1.11819 | − | 0.339201i | ||||
\(302\) | 1.20162 | + | 2.27407i | 0.0691452 | + | 0.130858i | ||||
\(303\) | −10.9512 | − | 4.53613i | −0.629129 | − | 0.260594i | ||||
\(304\) | 0.336239 | − | 2.85487i | 0.0192847 | − | 0.163738i | ||||
\(305\) | −2.85474 | + | 1.18247i | −0.163462 | + | 0.0677081i | ||||
\(306\) | −2.61094 | − | 2.16365i | −0.149257 | − | 0.123687i | ||||
\(307\) | −3.62799 | − | 1.93920i | −0.207060 | − | 0.110676i | 0.364607 | − | 0.931161i | \(-0.381203\pi\) |
−0.571667 | + | 0.820485i | \(0.693703\pi\) | |||||||
\(308\) | 14.1410 | + | 11.8325i | 0.805756 | + | 0.674221i | ||||
\(309\) | 4.65513 | + | 3.82037i | 0.264821 | + | 0.217333i | ||||
\(310\) | −39.3333 | − | 16.5124i | −2.23398 | − | 0.937843i | ||||
\(311\) | 5.68464 | − | 28.5786i | 0.322346 | − | 1.62054i | −0.391456 | − | 0.920197i | \(-0.628029\pi\) |
0.713803 | − | 0.700347i | \(-0.246971\pi\) | |||||||
\(312\) | 3.82898 | − | 3.05181i | 0.216773 | − | 0.172775i | ||||
\(313\) | 2.13035 | − | 0.423753i | 0.120415 | − | 0.0239520i | −0.134515 | − | 0.990912i | \(-0.542948\pi\) |
0.254930 | + | 0.966960i | \(0.417948\pi\) | |||||||
\(314\) | −4.22849 | − | 6.39415i | −0.238628 | − | 0.360843i | ||||
\(315\) | 4.56615 | + | 8.54267i | 0.257274 | + | 0.481325i | ||||
\(316\) | −30.0221 | + | 5.67485i | −1.68887 | + | 0.319235i | ||||
\(317\) | 29.9923 | + | 2.95399i | 1.68454 | + | 0.165912i | 0.894476 | − | 0.447116i | \(-0.147549\pi\) |
0.790061 | + | 0.613029i | \(0.210049\pi\) | |||||||
\(318\) | 6.46431 | + | 7.95378i | 0.362501 | + | 0.446026i | ||||
\(319\) | 26.2167i | 1.46785i | ||||||||
\(320\) | −32.2922 | − | 4.11571i | −1.80519 | − | 0.230075i | ||||
\(321\) | 18.1830i | 1.01488i | ||||||||
\(322\) | −21.8387 | + | 17.7490i | −1.21702 | + | 0.989115i | ||||
\(323\) | −1.71485 | − | 0.168897i | −0.0954165 | − | 0.00939771i | ||||
\(324\) | −1.65227 | − | 1.12694i | −0.0917930 | − | 0.0626078i | ||||
\(325\) | −9.43211 | − | 17.6462i | −0.523200 | − | 0.978838i | ||||
\(326\) | 12.1522 | − | 8.03632i | 0.673047 | − | 0.445091i | ||||
\(327\) | −18.9197 | + | 3.76335i | −1.04626 | + | 0.208114i | ||||
\(328\) | 18.6719 | − | 5.37377i | 1.03098 | − | 0.296717i | ||||
\(329\) | 1.39442 | − | 7.01022i | 0.0768768 | − | 0.386486i | ||||
\(330\) | −8.62704 | + | 20.5500i | −0.474903 | + | 1.13124i | ||||
\(331\) | −10.8855 | − | 8.93347i | −0.598319 | − | 0.491028i | 0.285800 | − | 0.958289i | \(-0.407741\pi\) |
−0.884119 | + | 0.467261i | \(0.845241\pi\) | |||||||
\(332\) | 19.4343 | − | 1.72726i | 1.06660 | − | 0.0947954i | ||||
\(333\) | −7.62204 | − | 4.07407i | −0.417685 | − | 0.223257i | ||||
\(334\) | 9.42821 | − | 11.3773i | 0.515889 | − | 0.622539i | ||||
\(335\) | 4.77864 | − | 1.97938i | 0.261085 | − | 0.108145i | ||||
\(336\) | 9.05741 | + | 2.93720i | 0.494122 | + | 0.160237i | ||||
\(337\) | 1.27870 | + | 0.529654i | 0.0696551 | + | 0.0288521i | 0.417239 | − | 0.908797i | \(-0.362998\pi\) |
−0.347584 | + | 0.937649i | \(0.612998\pi\) | |||||||
\(338\) | −12.5078 | + | 6.60914i | −0.680337 | + | 0.359490i | ||||
\(339\) | 12.8459 | − | 3.89677i | 0.697695 | − | 0.211643i | ||||
\(340\) | −2.09768 | + | 19.4006i | −0.113763 | + | 1.05215i | ||||
\(341\) | 2.81401 | + | 28.5711i | 0.152387 | + | 1.54721i | ||||
\(342\) | −1.01631 | − | 0.00484342i | −0.0549560 | − | 0.000261902i | ||||
\(343\) | −11.0211 | − | 16.4942i | −0.595082 | − | 0.890603i | ||||
\(344\) | 23.5557 | + | 5.03665i | 1.27004 | + | 0.271558i | ||||
\(345\) | −28.2834 | − | 18.8984i | −1.52273 | − | 1.01745i | ||||
\(346\) | −1.73888 | − | 8.96504i | −0.0934830 | − | 0.481963i | ||||
\(347\) | −2.45708 | − | 0.745348i | −0.131903 | − | 0.0400124i | 0.223643 | − | 0.974671i | \(-0.428205\pi\) |
−0.355546 | + | 0.934659i | \(0.615705\pi\) | |||||||
\(348\) | 5.06151 | + | 12.5568i | 0.271326 | + | 0.673113i | ||||
\(349\) | −16.6507 | − | 20.2890i | −0.891293 | − | 1.08604i | −0.995803 | − | 0.0915198i | \(-0.970828\pi\) |
0.104510 | − | 0.994524i | \(-0.466672\pi\) | |||||||
\(350\) | 18.5055 | − | 34.2279i | 0.989159 | − | 1.82956i | ||||
\(351\) | −1.22410 | − | 1.22410i | −0.0653375 | − | 0.0653375i | ||||
\(352\) | 7.89937 | + | 20.4348i | 0.421038 | + | 1.08918i | ||||
\(353\) | −17.0056 | + | 17.0056i | −0.905114 | + | 0.905114i | −0.995873 | − | 0.0907586i | \(-0.971071\pi\) |
0.0907586 | + | 0.995873i | \(0.471071\pi\) | |||||||
\(354\) | 0.639363 | + | 2.14444i | 0.0339818 | + | 0.113975i | ||||
\(355\) | 1.47306 | − | 1.20891i | 0.0781821 | − | 0.0641624i | ||||
\(356\) | −4.27956 | − | 4.36193i | −0.226816 | − | 0.231182i | ||||
\(357\) | 1.65685 | − | 5.46191i | 0.0876900 | − | 0.289075i | ||||
\(358\) | 0.791396 | − | 1.17228i | 0.0418266 | − | 0.0619567i | ||||
\(359\) | −5.51925 | + | 8.26014i | −0.291295 | + | 0.435953i | −0.948036 | − | 0.318162i | \(-0.896934\pi\) |
0.656742 | + | 0.754116i | \(0.271934\pi\) | |||||||
\(360\) | −0.164543 | + | 11.5082i | −0.00867218 | + | 0.606536i | ||||
\(361\) | 15.3685 | − | 10.2689i | 0.808869 | − | 0.540469i | ||||
\(362\) | 5.60977 | − | 5.55656i | 0.294843 | − | 0.292046i | ||||
\(363\) | 3.98014 | − | 0.392010i | 0.208903 | − | 0.0205752i | ||||
\(364\) | 7.23119 | + | 3.95422i | 0.379017 | + | 0.207258i | ||||
\(365\) | 5.20081 | + | 17.1448i | 0.272223 | + | 0.897398i | ||||
\(366\) | 1.02615 | + | 0.316627i | 0.0536376 | + | 0.0165503i | ||||
\(367\) | 1.23655 | − | 2.98529i | 0.0645472 | − | 0.155831i | −0.888315 | − | 0.459236i | \(-0.848123\pi\) |
0.952862 | + | 0.303405i | \(0.0981234\pi\) | |||||||
\(368\) | −32.9137 | + | 5.89709i | −1.71575 | + | 0.307407i | ||||
\(369\) | −2.62883 | − | 6.34655i | −0.136851 | − | 0.330388i | ||||
\(370\) | 4.63897 | + | 49.5183i | 0.241168 | + | 2.57434i | ||||
\(371\) | −8.13254 | + | 15.2149i | −0.422221 | + | 0.789919i | ||||
\(372\) | 6.86386 | + | 13.1411i | 0.355875 | + | 0.681336i | ||||
\(373\) | −0.770867 | + | 0.939304i | −0.0399140 | + | 0.0486353i | −0.792585 | − | 0.609762i | \(-0.791265\pi\) |
0.752671 | + | 0.658397i | \(0.228765\pi\) | |||||||
\(374\) | 12.1569 | − | 4.96780i | 0.628617 | − | 0.256879i | ||||
\(375\) | 26.1739 | + | 5.20631i | 1.35161 | + | 0.268853i | ||||
\(376\) | 5.48102 | − | 6.48725i | 0.282662 | − | 0.334554i | ||||
\(377\) | 2.28617 | + | 11.4933i | 0.117743 | + | 0.591937i | ||||
\(378\) | 0.672489 | − | 3.29860i | 0.0345891 | − | 0.169661i | ||||
\(379\) | 8.71713 | − | 4.65940i | 0.447769 | − | 0.239337i | −0.232070 | − | 0.972699i | \(-0.574550\pi\) |
0.679839 | + | 0.733362i | \(0.262050\pi\) | |||||||
\(380\) | 3.20283 | + | 4.89372i | 0.164302 | + | 0.251042i | ||||
\(381\) | 0.651053 | − | 6.61025i | 0.0333544 | − | 0.338653i | ||||
\(382\) | −24.5050 | − | 2.53150i | −1.25378 | − | 0.129523i | ||||
\(383\) | 7.13004 | 0.364328 | 0.182164 | − | 0.983268i | \(-0.441690\pi\) | ||||
0.182164 | + | 0.983268i | \(0.441690\pi\) | |||||||
\(384\) | 7.72872 | + | 8.26238i | 0.394405 | + | 0.421638i | ||||
\(385\) | −37.5147 | −1.91192 | ||||||||
\(386\) | −7.58753 | − | 0.783834i | −0.386195 | − | 0.0398961i | ||||
\(387\) | 0.834759 | − | 8.47545i | 0.0424332 | − | 0.430831i | ||||
\(388\) | −16.5493 | + | 10.8312i | −0.840163 | + | 0.549869i | ||||
\(389\) | 5.10563 | − | 2.72902i | 0.258866 | − | 0.138367i | −0.336859 | − | 0.941555i | \(-0.609365\pi\) |
0.595725 | + | 0.803188i | \(0.296865\pi\) | |||||||
\(390\) | −1.99006 | + | 9.76136i | −0.100771 | + | 0.494285i | ||||
\(391\) | 3.91036 | + | 19.6587i | 0.197756 | + | 0.994185i | ||||
\(392\) | −0.315995 | − | 3.75848i | −0.0159602 | − | 0.189832i | ||||
\(393\) | −1.57005 | − | 0.312303i | −0.0791986 | − | 0.0157536i | ||||
\(394\) | 34.6351 | − | 14.1533i | 1.74489 | − | 0.713035i | ||||
\(395\) | 39.4366 | − | 48.0537i | 1.98427 | − | 2.41784i | ||||
\(396\) | 6.86569 | − | 3.58608i | 0.345014 | − | 0.180207i | ||||
\(397\) | 10.5716 | − | 19.7782i | 0.530576 | − | 0.992637i | −0.463720 | − | 0.885982i | \(-0.653486\pi\) |
0.994296 | − | 0.106656i | \(-0.0340142\pi\) | |||||||
\(398\) | 2.85990 | + | 30.5278i | 0.143354 | + | 1.53022i | ||||
\(399\) | −0.654658 | − | 1.58048i | −0.0327739 | − | 0.0791232i | ||||
\(400\) | 38.9239 | − | 24.9482i | 1.94620 | − | 1.24741i | ||||
\(401\) | −0.435481 | + | 1.05134i | −0.0217469 | + | 0.0525017i | −0.934380 | − | 0.356278i | \(-0.884046\pi\) |
0.912633 | + | 0.408780i | \(0.134046\pi\) | |||||||
\(402\) | −1.71771 | − | 0.530012i | −0.0856714 | − | 0.0264346i | ||||
\(403\) | 3.72513 | + | 12.2801i | 0.185562 | + | 0.611715i | ||||
\(404\) | 11.3742 | − | 20.8002i | 0.565885 | − | 1.03485i | ||||
\(405\) | 4.04959 | − | 0.398850i | 0.201226 | − | 0.0198190i | ||||
\(406\) | −16.1904 | + | 16.0368i | −0.803516 | + | 0.795894i | ||||
\(407\) | 27.8307 | − | 18.5959i | 1.37952 | − | 0.921765i | ||||
\(408\) | 4.86356 | − | 4.72644i | 0.240782 | − | 0.233994i | ||||
\(409\) | −8.49058 | + | 12.7071i | −0.419832 | + | 0.628324i | −0.979750 | − | 0.200225i | \(-0.935833\pi\) |
0.559918 | + | 0.828548i | \(0.310833\pi\) | |||||||
\(410\) | −22.1190 | + | 32.7643i | −1.09238 | + | 1.61811i | ||||
\(411\) | −1.49240 | + | 4.91978i | −0.0736146 | + | 0.242675i | ||||
\(412\) | −8.59730 | + | 8.43495i | −0.423558 | + | 0.415560i | ||||
\(413\) | −2.91161 | + | 2.38949i | −0.143271 | + | 0.117579i | ||||
\(414\) | 3.37781 | + | 11.3292i | 0.166010 | + | 0.556802i | ||||
\(415\) | −28.0699 | + | 28.0699i | −1.37790 | + | 1.37790i | ||||
\(416\) | 5.24503 | + | 8.26971i | 0.257159 | + | 0.405456i | ||||
\(417\) | −10.8984 | − | 10.8984i | −0.533698 | − | 0.533698i | ||||
\(418\) | 1.87200 | − | 3.46248i | 0.0915627 | − | 0.169355i | ||||
\(419\) | 2.24624 | + | 2.73705i | 0.109736 | + | 0.133714i | 0.824982 | − | 0.565159i | \(-0.191185\pi\) |
−0.715246 | + | 0.698873i | \(0.753685\pi\) | |||||||
\(420\) | −17.9680 | + | 7.24275i | −0.876751 | + | 0.353410i | ||||
\(421\) | 6.00873 | + | 1.82273i | 0.292848 | + | 0.0888344i | 0.433290 | − | 0.901254i | \(-0.357353\pi\) |
−0.140443 | + | 0.990089i | \(0.544853\pi\) | |||||||
\(422\) | 4.13615 | + | 21.3245i | 0.201345 | + | 1.03806i | ||||
\(423\) | −2.49659 | − | 1.66817i | −0.121388 | − | 0.0811091i | ||||
\(424\) | −17.2052 | + | 11.1437i | −0.835557 | + | 0.541185i | ||||
\(425\) | −15.3969 | − | 23.0431i | −0.746860 | − | 1.11775i | ||||
\(426\) | −0.662277 | − | 0.00315619i | −0.0320874 | − | 0.000152918i | ||||
\(427\) | 0.177175 | + | 1.79889i | 0.00857410 | + | 0.0870543i | ||||
\(428\) | −36.1554 | − | 3.90928i | −1.74763 | − | 0.188962i | ||||
\(429\) | 6.41583 | − | 1.94622i | 0.309759 | − | 0.0939644i | ||||
\(430\) | −43.3322 | + | 22.8967i | −2.08966 | + | 1.10418i | ||||
\(431\) | −22.1224 | − | 9.16341i | −1.06560 | − | 0.441386i | −0.220164 | − | 0.975463i | \(-0.570659\pi\) |
−0.845436 | + | 0.534077i | \(0.820659\pi\) | |||||||
\(432\) | 2.59605 | − | 3.04311i | 0.124903 | − | 0.146412i | ||||
\(433\) | 28.0473 | − | 11.6176i | 1.34786 | − | 0.558304i | 0.412168 | − | 0.911108i | \(-0.364772\pi\) |
0.935697 | + | 0.352804i | \(0.114772\pi\) | |||||||
\(434\) | −15.9231 | + | 19.2148i | −0.764331 | + | 0.922341i | ||||
\(435\) | −24.2928 | − | 12.9848i | −1.16475 | − | 0.622572i | ||||
\(436\) | −3.41544 | − | 38.4292i | −0.163570 | − | 1.84042i | ||||
\(437\) | 4.64389 | + | 3.81114i | 0.222147 | + | 0.182312i | ||||
\(438\) | 2.41022 | − | 5.74125i | 0.115165 | − | 0.274328i | ||||
\(439\) | 1.23520 | − | 6.20977i | 0.0589529 | − | 0.296376i | −0.940049 | − | 0.341039i | \(-0.889221\pi\) |
0.999002 | + | 0.0446625i | \(0.0142212\pi\) | |||||||
\(440\) | −39.0070 | − | 21.5723i | −1.85959 | − | 1.02842i | ||||
\(441\) | −1.30789 | + | 0.260155i | −0.0622805 | + | 0.0123884i | ||||
\(442\) | 4.89634 | − | 3.23798i | 0.232895 | − | 0.154015i | ||||
\(443\) | −6.45883 | − | 12.0836i | −0.306868 | − | 0.574110i | 0.680463 | − | 0.732782i | \(-0.261779\pi\) |
−0.987331 | + | 0.158673i | \(0.949279\pi\) | |||||||
\(444\) | 9.73962 | − | 14.2798i | 0.462222 | − | 0.677691i | ||||
\(445\) | 12.3730 | + | 1.21863i | 0.586535 | + | 0.0577686i | ||||
\(446\) | 16.7964 | − | 13.6510i | 0.795330 | − | 0.646392i | ||||
\(447\) | − | 21.2731i | − | 1.00618i | ||||||
\(448\) | −7.78766 | + | 17.3784i | −0.367933 | + | 0.821050i | ||||
\(449\) | − | 16.3410i | − | 0.771178i | −0.922671 | − | 0.385589i | \(-0.873998\pi\) | ||
0.922671 | − | 0.385589i | \(-0.126002\pi\) | |||||||
\(450\) | −10.3093 | − | 12.6848i | −0.485987 | − | 0.597965i | ||||
\(451\) | 26.4767 | + | 2.60772i | 1.24674 | + | 0.122793i | ||||
\(452\) | 4.98656 | + | 26.3808i | 0.234548 | + | 1.24085i | ||||
\(453\) | 0.857324 | + | 1.60394i | 0.0402806 | + | 0.0753597i | ||||
\(454\) | 3.00510 | + | 4.54418i | 0.141036 | + | 0.213269i | ||||
\(455\) | −16.4463 | + | 3.27138i | −0.771016 | + | 0.153365i | ||||
\(456\) | 0.228134 | − | 2.01981i | 0.0106834 | − | 0.0945862i | ||||
\(457\) | −5.31960 | + | 26.7435i | −0.248841 | + | 1.25101i | 0.631017 | + | 0.775769i | \(0.282638\pi\) |
−0.879858 | + | 0.475237i | \(0.842362\pi\) | |||||||
\(458\) | −6.05779 | − | 2.54311i | −0.283062 | − | 0.118832i | ||||
\(459\) | −1.85348 | − | 1.52111i | −0.0865132 | − | 0.0709995i | ||||
\(460\) | 43.6585 | − | 52.1760i | 2.03559 | − | 2.43272i | ||||
\(461\) | 2.23133 | + | 1.19267i | 0.103923 | + | 0.0555482i | 0.522539 | − | 0.852615i | \(-0.324985\pi\) |
−0.418616 | + | 0.908163i | \(0.637485\pi\) | |||||||
\(462\) | 10.0389 | + | 8.31912i | 0.467053 | + | 0.387040i | ||||
\(463\) | −15.9263 | + | 6.59689i | −0.740158 | + | 0.306584i | −0.720719 | − | 0.693227i | \(-0.756188\pi\) |
−0.0194394 | + | 0.999811i | \(0.506188\pi\) | |||||||
\(464\) | −26.0562 | + | 7.36471i | −1.20963 | + | 0.341898i | ||||
\(465\) | −27.8682 | − | 11.5434i | −1.29236 | − | 0.535311i | ||||
\(466\) | −4.99011 | − | 9.44383i | −0.231163 | − | 0.437477i | ||||
\(467\) | 7.76356 | − | 2.35505i | 0.359255 | − | 0.108979i | −0.105497 | − | 0.994420i | \(-0.533643\pi\) |
0.464752 | + | 0.885441i | \(0.346143\pi\) | |||||||
\(468\) | 2.69718 | − | 2.17083i | 0.124677 | − | 0.100347i | ||||
\(469\) | −0.296579 | − | 3.01122i | −0.0136948 | − | 0.139045i | ||||
\(470\) | −0.0823459 | + | 17.2790i | −0.00379833 | + | 0.797019i | ||||
\(471\) | −3.01151 | − | 4.50704i | −0.138763 | − | 0.207674i | ||||
\(472\) | −4.40148 | + | 0.810272i | −0.202594 | + | 0.0372958i | ||||
\(473\) | 27.4247 | + | 18.3246i | 1.26099 | + | 0.842567i | ||||
\(474\) | −21.2095 | + | 4.11385i | −0.974183 | + | 0.188955i | ||||
\(475\) | −7.94867 | − | 2.41120i | −0.364710 | − | 0.110634i | ||||
\(476\) | 10.5043 | + | 4.46879i | 0.481464 | + | 0.204827i | ||||
\(477\) | 4.59771 | + | 5.60232i | 0.210515 | + | 0.256513i | ||||
\(478\) | −1.25378 | − | 0.677859i | −0.0573464 | − | 0.0310046i | ||||
\(479\) | 19.1334 | + | 19.1334i | 0.874229 | + | 0.874229i | 0.992930 | − | 0.118701i | \(-0.0378731\pi\) |
−0.118701 | + | 0.992930i | \(0.537873\pi\) | |||||||
\(480\) | −22.8477 | − | 2.80140i | −1.04285 | − | 0.127866i | ||||
\(481\) | 10.5793 | − | 10.5793i | 0.482375 | − | 0.482375i | ||||
\(482\) | 5.19893 | − | 1.55006i | 0.236805 | − | 0.0706034i | ||||
\(483\) | −15.3823 | + | 12.6239i | −0.699918 | + | 0.574408i | ||||
\(484\) | −0.0762376 | + | 7.99843i | −0.00346534 | + | 0.363565i | ||||
\(485\) | 11.6814 | − | 38.5086i | 0.530427 | − | 1.74858i | ||||
\(486\) | −1.17212 | − | 0.791290i | −0.0531683 | − | 0.0358936i | ||||
\(487\) | 2.71742 | − | 4.06691i | 0.123138 | − | 0.184289i | −0.764779 | − | 0.644293i | \(-0.777152\pi\) |
0.887917 | + | 0.460003i | \(0.152152\pi\) | |||||||
\(488\) | −0.850202 | + | 1.97233i | −0.0384868 | + | 0.0892832i | ||||
\(489\) | 8.56571 | − | 5.72343i | 0.387355 | − | 0.258822i | ||||
\(490\) | 5.40038 | + | 5.45210i | 0.243964 | + | 0.246301i | ||||
\(491\) | −26.4613 | + | 2.60621i | −1.19418 | + | 0.117617i | −0.675507 | − | 0.737354i | \(-0.736075\pi\) |
−0.518676 | + | 0.854971i | \(0.673575\pi\) | |||||||
\(492\) | 13.1847 | − | 3.86271i | 0.594414 | − | 0.174144i | ||||
\(493\) | 4.71160 | + | 15.5321i | 0.212200 | + | 0.699528i | ||||
\(494\) | 0.518744 | − | 1.68119i | 0.0233394 | − | 0.0756401i | ||||
\(495\) | −6.03092 | + | 14.5599i | −0.271070 | + | 0.654420i | ||||
\(496\) | −27.6057 | + | 10.8229i | −1.23953 | + | 0.485962i | ||||
\(497\) | −0.426605 | − | 1.02992i | −0.0191358 | − | 0.0461980i | ||||
\(498\) | 13.7362 | − | 1.28683i | 0.615533 | − | 0.0576642i | ||||
\(499\) | −4.60535 | + | 8.61600i | −0.206164 | + | 0.385705i | −0.963659 | − | 0.267135i | \(-0.913923\pi\) |
0.757495 | + | 0.652841i | \(0.226423\pi\) | |||||||
\(500\) | −15.9795 | + | 50.9251i | −0.714627 | + | 2.27744i | ||||
\(501\) | 6.62834 | − | 8.07665i | 0.296132 | − | 0.360838i | ||||
\(502\) | 6.33486 | + | 15.5023i | 0.282739 | + | 0.691899i | ||||
\(503\) | −6.47063 | − | 1.28709i | −0.288511 | − | 0.0573885i | 0.0487129 | − | 0.998813i | \(-0.484488\pi\) |
−0.337224 | + | 0.941424i | \(0.609488\pi\) | |||||||
\(504\) | 6.41438 | + | 2.04637i | 0.285719 | + | 0.0911525i | ||||
\(505\) | 9.40998 | + | 47.3072i | 0.418739 | + | 2.10514i | ||||
\(506\) | −44.8629 | − | 9.14626i | −1.99440 | − | 0.406601i | ||||
\(507\) | −8.82201 | + | 4.71546i | −0.391799 | + | 0.209421i | ||||
\(508\) | 13.0039 | + | 2.71574i | 0.576956 | + | 0.120491i | ||||
\(509\) | −2.38311 | + | 24.1961i | −0.105629 | + | 1.07247i | 0.785542 | + | 0.618808i | \(0.212384\pi\) |
−0.891172 | + | 0.453666i | \(0.850116\pi\) | |||||||
\(510\) | −1.41789 | + | 13.7252i | −0.0627854 | + | 0.607764i | ||||
\(511\) | 10.4809 | 0.463646 | ||||||||
\(512\) | −18.0906 | + | 13.5915i | −0.799501 | + | 0.600665i | ||||
\(513\) | −0.718651 | −0.0317292 | ||||||||
\(514\) | 3.92072 | − | 37.9527i | 0.172936 | − | 1.67402i | ||||
\(515\) | 2.40191 | − | 24.3870i | 0.105841 | − | 1.07462i | ||||
\(516\) | 16.6732 | + | 3.48203i | 0.733997 | + | 0.153288i | ||||
\(517\) | 10.2558 | − | 5.48181i | 0.451047 | − | 0.241090i | ||||
\(518\) | 28.5083 | + | 5.81201i | 1.25258 | + | 0.255365i | ||||
\(519\) | −1.25977 | − | 6.33331i | −0.0552979 | − | 0.278001i | ||||
\(520\) | −18.9817 | − | 6.05571i | −0.832404 | − | 0.265560i | ||||
\(521\) | 32.2720 | + | 6.41931i | 1.41386 | + | 0.281235i | 0.842161 | − | 0.539226i | \(-0.181283\pi\) |
0.571702 | + | 0.820461i | \(0.306283\pi\) | |||||||
\(522\) | 3.62130 | + | 8.86182i | 0.158500 | + | 0.387871i | ||||
\(523\) | 16.7638 | − | 20.4267i | 0.733029 | − | 0.893198i | −0.264433 | − | 0.964404i | \(-0.585185\pi\) |
0.997462 | + | 0.0712058i | \(0.0226847\pi\) | |||||||
\(524\) | 0.958540 | − | 3.05476i | 0.0418740 | − | 0.133448i | ||||
\(525\) | 12.9699 | − | 24.2649i | 0.566051 | − | 1.05901i | ||||
\(526\) | −9.49180 | + | 0.889209i | −0.413862 | + | 0.0387713i | ||||
\(527\) | 6.80188 | + | 16.4212i | 0.296294 | + | 0.715318i | ||||
\(528\) | 5.65450 | + | 14.4228i | 0.246080 | + | 0.627672i | ||||
\(529\) | 17.9404 | − | 43.3121i | 0.780019 | − | 1.88313i | ||||
\(530\) | 12.2969 | − | 39.8526i | 0.534141 | − | 1.73109i | ||||
\(531\) | 0.459319 | + | 1.51417i | 0.0199328 | + | 0.0657095i | ||||
\(532\) | 3.28340 | − | 0.961932i | 0.142354 | − | 0.0417050i | ||||
\(533\) | 11.8347 | − | 1.16562i | 0.512618 | − | 0.0504884i | ||||
\(534\) | −3.04077 | − | 3.06989i | −0.131587 | − | 0.132847i | ||||
\(535\) | 61.5205 | − | 41.1067i | 2.65976 | − | 1.77720i | ||||
\(536\) | 1.42318 | − | 3.30155i | 0.0614721 | − | 0.142605i | ||||
\(537\) | 0.555645 | − | 0.831581i | 0.0239778 | − | 0.0358854i | ||||
\(538\) | −35.6351 | − | 24.0570i | −1.53634 | − | 1.03717i | ||||
\(539\) | 1.49920 | − | 4.94218i | 0.0645749 | − | 0.212875i | ||||
\(540\) | −0.0775678 | + | 8.13799i | −0.00333799 | + | 0.350203i | ||||
\(541\) | −33.3142 | + | 27.3402i | −1.43229 | + | 1.17545i | −0.477323 | + | 0.878728i | \(0.658393\pi\) |
−0.954965 | + | 0.296720i | \(0.904107\pi\) | |||||||
\(542\) | 13.4068 | − | 3.99723i | 0.575870 | − | 0.171696i | ||||
\(543\) | 3.94794 | − | 3.94794i | 0.169422 | − | 0.169422i | ||||
\(544\) | 8.35246 | + | 10.6869i | 0.358109 | + | 0.458198i | ||||
\(545\) | 55.5049 | + | 55.5049i | 2.37757 | + | 2.37757i | ||||
\(546\) | 5.12649 | + | 2.77166i | 0.219394 | + | 0.118616i | ||||
\(547\) | −15.7154 | − | 19.1493i | −0.671941 | − | 0.818763i | 0.319737 | − | 0.947506i | \(-0.396406\pi\) |
−0.991678 | + | 0.128744i | \(0.958906\pi\) | |||||||
\(548\) | −9.46168 | − | 4.02523i | −0.404183 | − | 0.171950i | ||||
\(549\) | 0.726655 | + | 0.220428i | 0.0310129 | + | 0.00940766i | ||||
\(550\) | 62.1475 | − | 12.0543i | 2.64998 | − | 0.513998i | ||||
\(551\) | 4.04488 | + | 2.70270i | 0.172318 | + | 0.115139i | ||||
\(552\) | −23.2534 | + | 4.28074i | −0.989730 | + | 0.182200i | ||||
\(553\) | −20.2037 | − | 30.2369i | −0.859147 | − | 1.28580i | ||||
\(554\) | 0.0671671 | − | 14.0939i | 0.00285366 | − | 0.598794i | ||||
\(555\) | 3.44707 | + | 34.9987i | 0.146320 | + | 1.48561i | ||||
\(556\) | 24.0136 | − | 19.3274i | 1.01841 | − | 0.819665i | ||||
\(557\) | −20.1323 | + | 6.10706i | −0.853032 | + | 0.258764i | −0.686373 | − | 0.727250i | \(-0.740798\pi\) |
−0.166659 | + | 0.986015i | \(0.553298\pi\) | |||||||
\(558\) | 4.89771 | + | 9.26895i | 0.207337 | + | 0.392386i | ||||
\(559\) | 13.6209 | + | 5.64195i | 0.576102 | + | 0.238629i | ||||
\(560\) | −10.5385 | − | 37.2850i | −0.445333 | − | 1.57558i | ||||
\(561\) | 8.57937 | − | 3.55369i | 0.362221 | − | 0.150037i | ||||
\(562\) | 22.0899 | + | 18.3056i | 0.931807 | + | 0.772175i | ||||
\(563\) | 19.3475 | + | 10.3415i | 0.815401 | + | 0.435841i | 0.825702 | − | 0.564106i | \(-0.190779\pi\) |
−0.0103014 | + | 0.999947i | \(0.503279\pi\) | |||||||
\(564\) | 3.85376 | − | 4.60560i | 0.162273 | − | 0.193931i | ||||
\(565\) | −42.2253 | − | 34.6534i | −1.77643 | − | 1.45788i | ||||
\(566\) | 14.3740 | + | 6.03430i | 0.604183 | + | 0.253641i | ||||
\(567\) | 0.464401 | − | 2.33470i | 0.0195030 | − | 0.0980481i | ||||
\(568\) | 0.148663 | − | 1.31620i | 0.00623774 | − | 0.0552265i | ||||
\(569\) | −18.9018 | + | 3.75980i | −0.792404 | + | 0.157619i | −0.574666 | − | 0.818388i | \(-0.694868\pi\) |
−0.217738 | + | 0.976007i | \(0.569868\pi\) | |||||||
\(570\) | 2.28121 | + | 3.44955i | 0.0955494 | + | 0.144486i | ||||
\(571\) | 4.20667 | + | 7.87013i | 0.176044 | + | 0.329355i | 0.954432 | − | 0.298428i | \(-0.0964624\pi\) |
−0.778388 | + | 0.627783i | \(0.783962\pi\) | |||||||
\(572\) | 2.49051 | + | 13.1757i | 0.104133 | + | 0.550905i | ||||
\(573\) | −17.3360 | − | 1.70745i | −0.724221 | − | 0.0713295i | ||||
\(574\) | 14.5854 | + | 17.9461i | 0.608784 | + | 0.749056i | ||||
\(575\) | 96.6206i | 4.02936i | ||||||||
\(576\) | 5.49281 | + | 5.81627i | 0.228867 | + | 0.242345i | ||||
\(577\) | 2.24149i | 0.0933143i | 0.998911 | + | 0.0466571i | \(0.0148568\pi\) | ||||
−0.998911 | + | 0.0466571i | \(0.985143\pi\) | |||||||
\(578\) | −12.3474 | + | 10.0351i | −0.513583 | + | 0.417407i | ||||
\(579\) | −5.36777 | − | 0.528679i | −0.223077 | − | 0.0219712i | ||||
\(580\) | 31.0419 | − | 45.5124i | 1.28895 | − | 1.88980i | ||||
\(581\) | 10.9469 | + | 20.4803i | 0.454155 | + | 0.849664i | ||||
\(582\) | −11.6655 | + | 7.71447i | −0.483550 | + | 0.319775i | ||||
\(583\) | −27.5292 | + | 5.47590i | −1.14014 | + | 0.226789i | ||||
\(584\) | 10.8978 | + | 6.02686i | 0.450954 | + | 0.249393i | ||||
\(585\) | −1.37428 | + | 6.90895i | −0.0568193 | + | 0.285650i | ||||
\(586\) | 16.8260 | − | 40.0801i | 0.695074 | − | 1.65570i | ||||
\(587\) | −8.77627 | − | 7.20250i | −0.362236 | − | 0.297279i | 0.435616 | − | 0.900132i | \(-0.356530\pi\) |
−0.797852 | + | 0.602853i | \(0.794030\pi\) | |||||||
\(588\) | −0.236105 | − | 2.65655i | −0.00973680 | − | 0.109554i | ||||
\(589\) | 4.69823 | + | 2.51125i | 0.193587 | + | 0.103474i | ||||
\(590\) | 5.81006 | − | 7.01118i | 0.239197 | − | 0.288646i | ||||
\(591\) | 24.4428 | − | 10.1245i | 1.00544 | − | 0.416467i | ||||
\(592\) | 26.3002 | + | 22.4365i | 1.08093 | + | 0.922134i | ||||
\(593\) | 22.8478 | + | 9.46389i | 0.938248 | + | 0.388635i | 0.798802 | − | 0.601594i | \(-0.205468\pi\) |
0.139447 | + | 0.990230i | \(0.455468\pi\) | |||||||
\(594\) | 4.84263 | − | 2.55885i | 0.198696 | − | 0.104991i | ||||
\(595\) | −22.2255 | + | 6.74204i | −0.911158 | + | 0.276397i | ||||
\(596\) | 42.2996 | + | 4.57363i | 1.73266 | + | 0.187343i | ||||
\(597\) | 2.12510 | + | 21.5765i | 0.0869746 | + | 0.883068i | ||||
\(598\) | −20.4654 | − | 0.0975312i | −0.836891 | − | 0.00398835i | ||||
\(599\) | 15.4443 | + | 23.1141i | 0.631038 | + | 0.944415i | 0.999889 | + | 0.0149266i | \(0.00475147\pi\) |
−0.368850 | + | 0.929489i | \(0.620249\pi\) | |||||||
\(600\) | 27.4390 | − | 17.7720i | 1.12019 | − | 0.725540i | ||||
\(601\) | 3.76267 | + | 2.51414i | 0.153482 | + | 0.102554i | 0.629940 | − | 0.776644i | \(-0.283079\pi\) |
−0.476458 | + | 0.879197i | \(0.658079\pi\) | |||||||
\(602\) | 5.45921 | + | 28.1457i | 0.222501 | + | 1.14713i | ||||
\(603\) | −1.21637 | − | 0.368983i | −0.0495346 | − | 0.0150261i | ||||
\(604\) | −3.37361 | + | 1.35987i | −0.137270 | + | 0.0553324i | ||||
\(605\) | −10.3243 | − | 12.5802i | −0.419742 | − | 0.511457i | ||||
\(606\) | 7.97256 | − | 14.7461i | 0.323863 | − | 0.599021i | ||||
\(607\) | 1.82456 | + | 1.82456i | 0.0740568 | + | 0.0740568i | 0.743165 | − | 0.669108i | \(-0.233324\pi\) |
−0.669108 | + | 0.743165i | \(0.733324\pi\) | |||||||
\(608\) | 3.96716 | + | 0.887875i | 0.160890 | + | 0.0360081i | ||||
\(609\) | −11.3942 | + | 11.3942i | −0.461715 | + | 0.461715i | ||||
\(610\) | −1.24856 | − | 4.18767i | −0.0505525 | − | 0.169554i | ||||
\(611\) | 4.01807 | − | 3.29754i | 0.162554 | − | 0.133404i | ||||
\(612\) | 3.42309 | − | 3.35845i | 0.138370 | − | 0.135757i | ||||
\(613\) | 3.16400 | − | 10.4303i | 0.127793 | − | 0.421276i | −0.869574 | − | 0.493803i | \(-0.835606\pi\) |
0.997366 | + | 0.0725269i | \(0.0231063\pi\) | |||||||
\(614\) | 3.25515 | − | 4.82178i | 0.131367 | − | 0.194591i | ||||
\(615\) | −15.5299 | + | 23.2421i | −0.626226 | + | 0.937213i | ||||
\(616\) | −18.7001 | + | 18.1729i | −0.753450 | + | 0.732209i | ||||
\(617\) | −35.2805 | + | 23.5737i | −1.42034 | + | 0.949040i | −0.421225 | + | 0.906956i | \(0.638400\pi\) |
−0.999114 | + | 0.0420837i | \(0.986600\pi\) | |||||||
\(618\) | −6.05071 | + | 5.99332i | −0.243395 | + | 0.241087i | ||||
\(619\) | 14.0294 | − | 1.38177i | 0.563887 | − | 0.0555381i | 0.187942 | − | 0.982180i | \(-0.439818\pi\) |
0.375945 | + | 0.926642i | \(0.377318\pi\) | |||||||
\(620\) | 28.9445 | − | 52.9316i | 1.16244 | − | 2.12578i | ||||
\(621\) | 2.42662 | + | 7.99951i | 0.0973771 | + | 0.321009i | ||||
\(622\) | 39.3762 | + | 12.1499i | 1.57884 | + | 0.487165i | ||||
\(623\) | 2.78330 | − | 6.71948i | 0.111510 | − | 0.269210i | ||||
\(624\) | 3.73662 | + | 5.82983i | 0.149585 | + | 0.233380i | ||||
\(625\) | −19.4409 | − | 46.9346i | −0.777638 | − | 1.87738i | ||||
\(626\) | 0.286517 | + | 3.05840i | 0.0114515 | + | 0.122238i | ||||
\(627\) | 1.31202 | − | 2.45462i | 0.0523972 | − | 0.0980282i | ||||
\(628\) | 9.60931 | − | 5.01912i | 0.383453 | − | 0.200285i | ||||
\(629\) | 13.1463 | − | 16.0188i | 0.524177 | − | 0.638711i | ||||
\(630\) | −12.6808 | + | 5.18189i | −0.505214 | + | 0.206451i | ||||
\(631\) | 12.5334 | + | 2.49304i | 0.498945 | + | 0.0992463i | 0.438146 | − | 0.898904i | \(-0.355635\pi\) |
0.0607988 | + | 0.998150i | \(0.480635\pi\) | |||||||
\(632\) | −3.62007 | − | 43.0576i | −0.143999 | − | 1.71274i | ||||
\(633\) | 2.99653 | + | 15.0646i | 0.119101 | + | 0.598762i | ||||
\(634\) | −8.51402 | + | 41.7617i | −0.338135 | + | 1.65857i | ||||
\(635\) | −23.8370 | + | 12.7411i | −0.945941 | + | 0.505616i | ||||
\(636\) | −12.1282 | + | 7.93766i | −0.480915 | + | 0.314749i | ||||
\(637\) | 0.226272 | − | 2.29737i | 0.00896521 | − | 0.0910253i | ||||
\(638\) | −36.8797 | − | 3.80988i | −1.46008 | − | 0.150835i | ||||
\(639\) | −0.468306 | −0.0185259 | ||||||||
\(640\) | 10.4825 | − | 44.8282i | 0.414356 | − | 1.77199i | ||||
\(641\) | −8.27505 | −0.326845 | −0.163422 | − | 0.986556i | \(-0.552253\pi\) | ||||
−0.163422 | + | 0.986556i | \(0.552253\pi\) | |||||||
\(642\) | −25.5786 | − | 2.64241i | −1.00951 | − | 0.104288i | ||||
\(643\) | −4.40186 | + | 44.6928i | −0.173592 | + | 1.76251i | 0.375568 | + | 0.926795i | \(0.377448\pi\) |
−0.549160 | + | 0.835717i | \(0.685052\pi\) | |||||||
\(644\) | −21.7944 | − | 33.3004i | −0.858819 | − | 1.31222i | ||||
\(645\) | −30.5630 | + | 16.3363i | −1.20342 | + | 0.643239i | ||||
\(646\) | 0.486799 | − | 2.38777i | 0.0191528 | − | 0.0939457i | ||||
\(647\) | −8.90617 | − | 44.7743i | −0.350138 | − | 1.76026i | −0.607862 | − | 0.794043i | \(-0.707973\pi\) |
0.257724 | − | 0.966218i | \(-0.417027\pi\) | |||||||
\(648\) | 1.82541 | − | 2.16053i | 0.0717089 | − | 0.0848735i | ||||
\(649\) | −6.01037 | − | 1.19554i | −0.235928 | − | 0.0469290i | ||||
\(650\) | 26.1942 | − | 10.7040i | 1.02742 | − | 0.419846i | ||||
\(651\) | −11.1944 | + | 13.6404i | −0.438744 | + | 0.534611i | ||||
\(652\) | 9.53893 | + | 18.2627i | 0.373573 | + | 0.715221i | ||||
\(653\) | 9.84531 | − | 18.4193i | 0.385277 | − | 0.720802i | −0.612282 | − | 0.790640i | \(-0.709748\pi\) |
0.997558 | + | 0.0698375i | \(0.0222481\pi\) | |||||||
\(654\) | −2.54456 | − | 27.1617i | −0.0995000 | − | 1.06211i | ||||
\(655\) | 2.49279 | + | 6.01814i | 0.0974015 | + | 0.235148i | ||||
\(656\) | 4.84599 | + | 27.0471i | 0.189204 | + | 1.05601i | ||||
\(657\) | 1.68492 | − | 4.06776i | 0.0657350 | − | 0.158698i | ||||
\(658\) | 9.65883 | + | 2.98031i | 0.376540 | + | 0.116185i | ||||
\(659\) | −7.79075 | − | 25.6827i | −0.303485 | − | 1.00045i | −0.967529 | − | 0.252761i | \(-0.918661\pi\) |
0.664044 | − | 0.747693i | \(-0.268839\pi\) | |||||||
\(660\) | −27.6545 | − | 15.1223i | −1.07645 | − | 0.588634i | ||||
\(661\) | 22.0230 | − | 2.16908i | 0.856597 | − | 0.0843674i | 0.339823 | − | 0.940489i | \(-0.389633\pi\) |
0.516774 | + | 0.856122i | \(0.327133\pi\) | |||||||
\(662\) | 14.1489 | − | 14.0146i | 0.549911 | − | 0.544694i | ||||
\(663\) | 3.45128 | − | 2.30607i | 0.134037 | − | 0.0895605i | ||||
\(664\) | −0.394476 | + | 27.5898i | −0.0153086 | + | 1.07069i | ||||
\(665\) | −3.86742 | + | 5.78800i | −0.149972 | + | 0.224449i | ||||
\(666\) | 6.83876 | − | 10.1301i | 0.264996 | − | 0.392533i | ||||
\(667\) | 16.4264 | − | 54.1507i | 0.636034 | − | 2.09672i | ||||
\(668\) | 14.6346 | + | 14.9163i | 0.566231 | + | 0.577129i | ||||
\(669\) | 11.8307 | − | 9.70919i | 0.457400 | − | 0.375379i | ||||
\(670\) | 2.09000 | + | 7.00989i | 0.0807437 | + | 0.270816i | ||||
\(671\) | −2.07953 | + | 2.07953i | −0.0802794 | + | 0.0802794i | ||||
\(672\) | −5.44809 | + | 12.3145i | −0.210164 | + | 0.475041i | ||||
\(673\) | −19.5911 | − | 19.5911i | −0.755180 | − | 0.755180i | 0.220261 | − | 0.975441i | \(-0.429309\pi\) |
−0.975441 | + | 0.220261i | \(0.929309\pi\) | |||||||
\(674\) | −0.930903 | + | 1.72181i | −0.0358570 | + | 0.0663216i | ||||
\(675\) | −7.33247 | − | 8.93464i | −0.282227 | − | 0.343894i | ||||
\(676\) | −7.47958 | − | 18.5556i | −0.287676 | − | 0.713676i | ||||
\(677\) | 19.0033 | + | 5.76458i | 0.730355 | + | 0.221551i | 0.633495 | − | 0.773747i | \(-0.281620\pi\) |
0.0968606 | + | 0.995298i | \(0.469120\pi\) | |||||||
\(678\) | 3.61489 | + | 18.6370i | 0.138829 | + | 0.715750i | ||||
\(679\) | −19.5735 | − | 13.0786i | −0.751163 | − | 0.501911i | ||||
\(680\) | −26.9866 | − | 5.77023i | −1.03489 | − | 0.221278i | ||||
\(681\) | 2.14021 | + | 3.20306i | 0.0820132 | + | 0.122741i | ||||
\(682\) | −40.6007 | − | 0.193489i | −1.55468 | − | 0.00740909i | ||||
\(683\) | 1.17636 | + | 11.9438i | 0.0450123 | + | 0.457017i | 0.991101 | + | 0.133110i | \(0.0424965\pi\) |
−0.946089 | + | 0.323907i | \(0.895003\pi\) | |||||||
\(684\) | 0.154507 | − | 1.42897i | 0.00590772 | − | 0.0546382i | ||||
\(685\) | 20.0195 | − | 6.07284i | 0.764905 | − | 0.232031i | ||||
\(686\) | 24.8045 | − | 13.1067i | 0.947039 | − | 0.500415i | ||||
\(687\) | −4.29203 | − | 1.77782i | −0.163751 | − | 0.0678279i | ||||
\(688\) | −10.5084 | + | 32.4045i | −0.400628 | + | 1.23541i | ||||
\(689\) | −11.5912 | + | 4.80124i | −0.441590 | + | 0.182913i | ||||
\(690\) | 30.6951 | − | 37.0407i | 1.16854 | − | 1.41011i | ||||
\(691\) | 7.34634 | + | 3.92670i | 0.279468 | + | 0.149379i | 0.605176 | − | 0.796092i | \(-0.293103\pi\) |
−0.325708 | + | 0.945470i | \(0.605603\pi\) | |||||||
\(692\) | 12.8641 | − | 1.14331i | 0.489018 | − | 0.0434622i | ||||
\(693\) | 7.12655 | + | 5.84861i | 0.270715 | + | 0.222170i | ||||
\(694\) | 1.40557 | − | 3.34813i | 0.0533547 | − | 0.127093i | ||||
\(695\) | −12.2355 | + | 61.5119i | −0.464118 | + | 2.33328i | ||||
\(696\) | −18.3995 | + | 5.29538i | −0.697431 | + | 0.200721i | ||||
\(697\) | 16.1547 | − | 3.21338i | 0.611904 | − | 0.121715i | ||||
\(698\) | 30.9608 | − | 20.4746i | 1.17188 | − | 0.774974i | ||||
\(699\) | −3.56033 | − | 6.66090i | −0.134664 | − | 0.251939i | ||||
\(700\) | 45.4601 | + | 31.0062i | 1.71823 | + | 1.17193i | ||||
\(701\) | −39.0375 | − | 3.84486i | −1.47443 | − | 0.145218i | −0.671371 | − | 0.741122i | \(-0.734294\pi\) |
−0.803056 | + | 0.595903i | \(0.796794\pi\) | |||||||
\(702\) | 1.89986 | − | 1.54408i | 0.0717056 | − | 0.0582776i | ||||
\(703\) | − | 6.21097i | − | 0.234251i | ||||||
\(704\) | −29.8941 | + | 8.14262i | −1.12668 | + | 0.306887i | ||||
\(705\) | 12.2182i | 0.460165i | ||||||||
\(706\) | −21.4509 | − | 26.3935i | −0.807315 | − | 0.993331i | ||||
\(707\) | 28.0806 | + | 2.76570i | 1.05608 | + | 0.104015i | ||||
\(708\) | −3.10955 | + | 0.587775i | −0.116864 | + | 0.0220899i | ||||
\(709\) | −11.1339 | − | 20.8301i | −0.418143 | − | 0.782290i | 0.581365 | − | 0.813643i | \(-0.302519\pi\) |
−0.999508 | + | 0.0313521i | \(0.990019\pi\) | |||||||
\(710\) | 1.48654 | + | 2.24788i | 0.0557889 | + | 0.0843615i | ||||
\(711\) | −14.9833 | + | 2.98037i | −0.561919 | + | 0.111773i | ||||
\(712\) | 6.75796 | − | 5.38628i | 0.253265 | − | 0.201860i | ||||
\(713\) | 12.0893 | − | 60.7769i | 0.452747 | − | 2.27611i | ||||
\(714\) | 7.44265 | + | 3.12448i | 0.278534 | + | 0.116931i | ||||
\(715\) | −21.0892 | − | 17.3075i | −0.788692 | − | 0.647263i | ||||
\(716\) | 1.53406 | + | 1.28364i | 0.0573306 | + | 0.0479718i | ||||
\(717\) | −0.888828 | − | 0.475088i | −0.0331939 | − | 0.0177425i | ||||
\(718\) | −10.8177 | − | 8.96446i | −0.403712 | − | 0.334551i | ||||
\(719\) | −16.7312 | + | 6.93029i | −0.623968 | + | 0.258456i | −0.672188 | − | 0.740381i | \(-0.734645\pi\) |
0.0482197 | + | 0.998837i | \(0.484645\pi\) | |||||||
\(720\) | −16.1650 | − | 1.90387i | −0.602434 | − | 0.0709531i | ||||
\(721\) | −13.2440 | − | 5.48584i | −0.493232 | − | 0.204303i | ||||
\(722\) | 12.2122 | + | 23.1116i | 0.454489 | + | 0.860125i | ||||
\(723\) | 3.67094 | − | 1.11357i | 0.136524 | − | 0.0414140i | ||||
\(724\) | 7.00133 | + | 8.69891i | 0.260203 | + | 0.323293i | ||||
\(725\) | 7.66892 | + | 77.8639i | 0.284817 | + | 2.89179i | ||||
\(726\) | −0.0269544 | + | 5.65594i | −0.00100037 | + | 0.209912i | ||||
\(727\) | −8.55852 | − | 12.8087i | −0.317418 | − | 0.475050i | 0.638112 | − | 0.769944i | \(-0.279716\pi\) |
−0.955530 | + | 0.294894i | \(0.904716\pi\) | |||||||
\(728\) | −6.61337 | + | 9.59767i | −0.245108 | + | 0.355713i | ||||
\(729\) | −0.831470 | − | 0.555570i | −0.0307952 | − | 0.0205767i | ||||
\(730\) | −24.8738 | + | 4.82459i | −0.920621 | + | 0.178566i | ||||
\(731\) | 19.5410 | + | 5.92770i | 0.722750 | + | 0.219244i | ||||
\(732\) | −0.594530 | + | 1.39750i | −0.0219745 | + | 0.0516530i | ||||
\(733\) | −17.8409 | − | 21.7392i | −0.658968 | − | 0.802954i | 0.331093 | − | 0.943598i | \(-0.392583\pi\) |
−0.990060 | + | 0.140644i | \(0.955083\pi\) | |||||||
\(734\) | 4.01979 | + | 2.17332i | 0.148373 | + | 0.0802185i | ||||
\(735\) | 3.83698 | + | 3.83698i | 0.141529 | + | 0.141529i | ||||
\(736\) | −3.51248 | − | 47.1576i | −0.129472 | − | 1.73825i | ||||
\(737\) | 3.48100 | − | 3.48100i | 0.128224 | − | 0.128224i | ||||
\(738\) | 9.30990 | − | 2.77575i | 0.342702 | − | 0.102177i | ||||
\(739\) | −36.8609 | + | 30.2509i | −1.35595 | + | 1.11280i | −0.373221 | + | 0.927743i | \(0.621747\pi\) |
−0.982728 | + | 0.185056i | \(0.940753\pi\) | |||||||
\(740\) | −70.3329 | − | 0.670383i | −2.58549 | − | 0.0246438i | ||||
\(741\) | 0.361138 | − | 1.19051i | 0.0132667 | − | 0.0437346i | ||||
\(742\) | −20.2214 | − | 13.6513i | −0.742351 | − | 0.501157i | ||||
\(743\) | −16.0619 | + | 24.0383i | −0.589252 | + | 0.881878i | −0.999548 | − | 0.0300745i | \(-0.990426\pi\) |
0.410296 | + | 0.911953i | \(0.365426\pi\) | |||||||
\(744\) | −19.4835 | + | 7.74587i | −0.714299 | + | 0.283977i | ||||
\(745\) | −71.9754 | + | 48.0924i | −2.63697 | + | 1.76197i | ||||
\(746\) | −1.20932 | − | 1.22090i | −0.0442763 | − | 0.0447004i | ||||
\(747\) | 9.70850 | − | 0.956204i | 0.355215 | − | 0.0349857i | ||||
\(748\) | 5.22167 | + | 17.8233i | 0.190923 | + | 0.651686i | ||||
\(749\) | −12.5646 | − | 41.4198i | −0.459099 | − | 1.51345i | ||||
\(750\) | −11.1275 | + | 36.0629i | −0.406319 | + | 1.31683i | ||||
\(751\) | 7.16052 | − | 17.2870i | 0.261291 | − | 0.630812i | −0.737728 | − | 0.675098i | \(-0.764101\pi\) |
0.999019 | + | 0.0442859i | \(0.0141013\pi\) | |||||||
\(752\) | 8.32927 | + | 8.65304i | 0.303737 | + | 0.315544i | ||||
\(753\) | 4.53161 | + | 10.9403i | 0.165141 | + | 0.398686i | ||||
\(754\) | −16.5002 | + | 1.54577i | −0.600902 | + | 0.0562936i | ||||
\(755\) | 3.48861 | − | 6.52672i | 0.126963 | − | 0.237532i | ||||
\(756\) | 4.54250 | + | 1.42537i | 0.165209 | + | 0.0518402i | ||||
\(757\) | −24.4790 | + | 29.8277i | −0.889704 | + | 1.08411i | 0.106258 | + | 0.994339i | \(0.466113\pi\) |
−0.995963 | + | 0.0897691i | \(0.971387\pi\) | |||||||
\(758\) | 5.28771 | + | 12.9397i | 0.192058 | + | 0.469992i | ||||
\(759\) | −31.7533 | − | 6.31613i | −1.15257 | − | 0.229261i | ||||
\(760\) | −7.34957 | + | 3.79435i | −0.266597 | + | 0.137635i | ||||
\(761\) | −1.99098 | − | 10.0093i | −0.0721730 | − | 0.362838i | 0.927774 | − | 0.373143i | \(-0.121720\pi\) |
−0.999947 | + | 0.0103047i | \(0.996720\pi\) | |||||||
\(762\) | 9.20421 | + | 1.87647i | 0.333433 | + | 0.0679775i | ||||
\(763\) | 40.4973 | − | 21.6463i | 1.46610 | − | 0.783647i | ||||
\(764\) | 7.12227 | − | 34.1040i | 0.257675 | − | 1.23384i | ||||
\(765\) | −0.956340 | + | 9.70988i | −0.0345765 | + | 0.351061i | ||||
\(766\) | −1.03616 | + | 10.0300i | −0.0374379 | + | 0.362399i | ||||
\(767\) | −2.73919 | −0.0989063 | ||||||||
\(768\) | −12.7461 | + | 9.67149i | −0.459934 | + | 0.348990i | ||||
\(769\) | 16.7117 | 0.602641 | 0.301320 | − | 0.953523i | \(-0.402573\pi\) | ||||
0.301320 | + | 0.953523i | \(0.402573\pi\) | |||||||
\(770\) | 5.45173 | − | 52.7729i | 0.196467 | − | 1.90180i | ||||
\(771\) | 2.64445 | − | 26.8495i | 0.0952374 | − | 0.966961i | ||||
\(772\) | 2.20528 | − | 10.5597i | 0.0793698 | − | 0.380051i | ||||
\(773\) | 14.0336 | − | 7.50114i | 0.504755 | − | 0.269797i | −0.199305 | − | 0.979937i | \(-0.563868\pi\) |
0.704060 | + | 0.710140i | \(0.251368\pi\) | |||||||
\(774\) | 11.8013 | + | 2.40595i | 0.424190 | + | 0.0864802i | ||||
\(775\) | 16.7153 | + | 84.0333i | 0.600430 | + | 3.01857i | ||||
\(776\) | −12.8315 | − | 24.8543i | −0.460624 | − | 0.892219i | ||||
\(777\) | 20.1777 | + | 4.01360i | 0.723872 | + | 0.143987i | ||||
\(778\) | 3.09702 | + | 7.57882i | 0.111034 | + | 0.271714i | ||||
\(779\) | 3.13184 | − | 3.81616i | 0.112210 | − | 0.136728i | ||||
\(780\) | −13.4424 | − | 4.21802i | −0.481314 | − | 0.151029i | ||||
\(781\) | 0.854974 | − | 1.59954i | 0.0305934 | − | 0.0572362i | ||||
\(782\) | −28.2227 | + | 2.64396i | −1.00924 | + | 0.0945477i | ||||
\(783\) | 2.59048 | + | 6.25398i | 0.0925763 | + | 0.223499i | ||||
\(784\) | 5.33308 | + | 0.101674i | 0.190467 | + | 0.00363123i | ||||
\(785\) | −8.44096 | + | 20.3783i | −0.301271 | + | 0.727332i | ||||
\(786\) | 0.667488 | − | 2.16325i | 0.0238085 | − | 0.0771605i | ||||
\(787\) | 8.65912 | + | 28.5453i | 0.308664 | + | 1.01753i | 0.964822 | + | 0.262906i | \(0.0846808\pi\) |
−0.656157 | + | 0.754624i | \(0.727819\pi\) | |||||||
\(788\) | 14.8766 | + | 50.7790i | 0.529958 | + | 1.80893i | ||||
\(789\) | −6.70865 | + | 0.660744i | −0.238834 | + | 0.0235231i | ||||
\(790\) | 61.8674 | + | 62.4599i | 2.20114 | + | 2.22222i | ||||
\(791\) | −26.5695 | + | 17.7532i | −0.944704 | + | 0.631231i | ||||
\(792\) | 4.04689 | + | 10.1793i | 0.143800 | + | 0.361705i | ||||
\(793\) | −0.730321 | + | 1.09300i | −0.0259344 | + | 0.0388136i | ||||
\(794\) | 26.2862 | + | 17.7456i | 0.932861 | + | 0.629769i | ||||
\(795\) | 8.56079 | − | 28.2212i | 0.303620 | − | 1.00090i | ||||
\(796\) | −43.3599 | − | 0.413287i | −1.53685 | − | 0.0146486i | ||||
\(797\) | −6.31406 | + | 5.18181i | −0.223655 | + | 0.183549i | −0.739548 | − | 0.673104i | \(-0.764961\pi\) |
0.515892 | + | 0.856654i | \(0.327461\pi\) | |||||||
\(798\) | 2.31845 | − | 0.691245i | 0.0820722 | − | 0.0244698i | ||||
\(799\) | 5.09083 | − | 5.09083i | 0.180101 | − | 0.180101i | ||||
\(800\) | 29.4388 | + | 58.3809i | 1.04082 | + | 2.06408i | ||||
\(801\) | −2.16047 | − | 2.16047i | −0.0763364 | − | 0.0763364i | ||||
\(802\) | −1.41567 | − | 0.765388i | −0.0499890 | − | 0.0270268i | ||||
\(803\) | 10.8177 | + | 13.1814i | 0.381748 | + | 0.465162i | ||||
\(804\) | 0.995205 | − | 2.33932i | 0.0350982 | − | 0.0825014i | ||||
\(805\) | 77.4867 | + | 23.5053i | 2.73105 | + | 0.828454i | ||||
\(806\) | −17.8161 | + | 3.45566i | −0.627545 | + | 0.121720i | ||||
\(807\) | −25.2786 | − | 16.8906i | −0.889849 | − | 0.594578i | ||||
\(808\) | 27.6073 | + | 19.0231i | 0.971221 | + | 0.669229i | ||||
\(809\) | −6.55135 | − | 9.80479i | −0.230333 | − | 0.344718i | 0.698242 | − | 0.715861i | \(-0.253966\pi\) |
−0.928576 | + | 0.371143i | \(0.878966\pi\) | |||||||
\(810\) | −0.0274247 | + | 5.75463i | −0.000963604 | + | 0.202197i | ||||
\(811\) | 1.50989 | + | 15.3302i | 0.0530194 | + | 0.538315i | 0.984605 | + | 0.174793i | \(0.0559257\pi\) |
−0.931586 | + | 0.363522i | \(0.881574\pi\) | |||||||
\(812\) | −20.2066 | − | 25.1060i | −0.709113 | − | 0.881048i | ||||
\(813\) | 9.46645 | − | 2.87161i | 0.332003 | − | 0.100712i | ||||
\(814\) | 22.1149 | + | 41.8527i | 0.775128 | + | 1.46694i | ||||
\(815\) | −38.7293 | − | 16.0422i | −1.35663 | − | 0.561934i | ||||
\(816\) | 5.94203 | + | 7.52856i | 0.208013 | + | 0.263552i | ||||
\(817\) | 5.65448 | − | 2.34216i | 0.197825 | − | 0.0819418i | ||||
\(818\) | −16.6415 | − | 13.7906i | −0.581856 | − | 0.482176i | ||||
\(819\) | 3.63427 | + | 1.94256i | 0.126992 | + | 0.0678785i | ||||
\(820\) | −42.8760 | − | 35.8768i | −1.49730 | − | 1.25287i | ||||
\(821\) | 9.73571 | + | 7.98989i | 0.339779 | + | 0.278849i | 0.788772 | − | 0.614686i | \(-0.210717\pi\) |
−0.448993 | + | 0.893535i | \(0.648217\pi\) | |||||||
\(822\) | −6.70391 | − | 2.81435i | −0.233826 | − | 0.0981619i | ||||
\(823\) | −6.43819 | + | 32.3670i | −0.224421 | + | 1.12824i | 0.690103 | + | 0.723711i | \(0.257565\pi\) |
−0.914524 | + | 0.404531i | \(0.867435\pi\) | |||||||
\(824\) | −10.6163 | − | 13.3198i | −0.369836 | − | 0.464019i | ||||
\(825\) | 43.9038 | − | 8.73301i | 1.52854 | − | 0.304045i | ||||
\(826\) | −2.93824 | − | 4.44309i | −0.102235 | − | 0.154595i | ||||
\(827\) | −8.52345 | − | 15.9463i | −0.296390 | − | 0.554506i | 0.689012 | − | 0.724749i | \(-0.258045\pi\) |
−0.985402 | + | 0.170244i | \(0.945545\pi\) | |||||||
\(828\) | −16.4280 | + | 3.10526i | −0.570913 | + | 0.107915i | ||||
\(829\) | 52.6928 | + | 5.18978i | 1.83010 | + | 0.180249i | 0.953583 | − | 0.301131i | \(-0.0973640\pi\) |
0.876512 | + | 0.481379i | \(0.159864\pi\) | |||||||
\(830\) | −35.4075 | − | 43.5658i | −1.22901 | − | 1.51219i | ||||
\(831\) | − | 9.96604i | − | 0.345718i | ||||||
\(832\) | −12.3955 | + | 6.17655i | −0.429735 | + | 0.214133i | ||||
\(833\) | − | 3.19742i | − | 0.110784i | ||||||
\(834\) | 16.9149 | − | 13.7473i | 0.585715 | − | 0.476030i | ||||
\(835\) | −42.3114 | − | 4.16730i | −1.46424 | − | 0.144216i | ||||
\(836\) | 4.59872 | + | 3.13657i | 0.159050 | + | 0.108481i | ||||
\(837\) | 3.49440 | + | 6.53756i | 0.120784 | + | 0.225971i | ||||
\(838\) | −4.17671 | + | 2.76209i | −0.144282 | + | 0.0954149i | ||||
\(839\) | 42.9255 | − | 8.53841i | 1.48195 | − | 0.294779i | 0.613161 | − | 0.789958i | \(-0.289898\pi\) |
0.868791 | + | 0.495179i | \(0.164898\pi\) | |||||||
\(840\) | −7.57741 | − | 26.3287i | −0.261445 | − | 0.908426i | ||||
\(841\) | 3.28197 | − | 16.4996i | 0.113171 | − | 0.568951i | ||||
\(842\) | −3.43729 | + | 8.18776i | −0.118457 | + | 0.282169i | ||||
\(843\) | 15.6814 | + | 12.8694i | 0.540098 | + | 0.443247i | ||||
\(844\) | −30.5988 | + | 2.71951i | −1.05325 | + | 0.0936094i | ||||
\(845\) | 35.8984 | + | 19.1881i | 1.23494 | + | 0.660090i | ||||
\(846\) | 2.70947 | − | 3.26960i | 0.0931534 | − | 0.112411i | ||||
\(847\) | −8.79563 | + | 3.64327i | −0.302221 | + | 0.125184i | ||||
\(848\) | −13.1758 | − | 25.8224i | −0.452459 | − | 0.886746i | ||||
\(849\) | 10.1841 | + | 4.21841i | 0.349519 | + | 0.144776i | ||||
\(850\) | 34.6529 | − | 18.3106i | 1.18858 | − | 0.628047i | ||||
\(851\) | −69.1361 | + | 20.9722i | −2.36995 | + | 0.718918i | ||||
\(852\) | 0.100684 | − | 0.931184i | 0.00344937 | − | 0.0319018i | ||||
\(853\) | −2.06819 | − | 20.9987i | −0.0708136 | − | 0.718983i | −0.963393 | − | 0.268093i | \(-0.913607\pi\) |
0.892579 | − | 0.450890i | \(-0.148893\pi\) | |||||||
\(854\) | −2.55629 | − | 0.0121825i | −0.0874745 | − | 0.000416875i | ||||
\(855\) | 1.62467 | + | 2.43148i | 0.0555624 | + | 0.0831550i | ||||
\(856\) | 10.7535 | − | 50.2926i | 0.367546 | − | 1.71897i | ||||
\(857\) | −7.72246 | − | 5.15999i | −0.263794 | − | 0.176262i | 0.416638 | − | 0.909072i | \(-0.363208\pi\) |
−0.680433 | + | 0.732811i | \(0.738208\pi\) | |||||||
\(858\) | 1.80544 | + | 9.30815i | 0.0616365 | + | 0.317775i | ||||
\(859\) | −43.1920 | − | 13.1021i | −1.47369 | − | 0.447039i | −0.551632 | − | 0.834088i | \(-0.685995\pi\) |
−0.922059 | + | 0.387048i | \(0.873495\pi\) | |||||||
\(860\) | −25.9123 | − | 64.2840i | −0.883601 | − | 2.19207i | ||||
\(861\) | 10.3738 | + | 12.6405i | 0.353538 | + | 0.430788i | ||||
\(862\) | 16.1053 | − | 29.7886i | 0.548549 | − | 1.01460i | ||||
\(863\) | 17.4194 | + | 17.4194i | 0.592965 | + | 0.592965i | 0.938431 | − | 0.345466i | \(-0.112279\pi\) |
−0.345466 | + | 0.938431i | \(0.612279\pi\) | |||||||
\(864\) | 3.90356 | + | 4.09417i | 0.132802 | + | 0.139286i | ||||
\(865\) | −18.5801 | + | 18.5801i | −0.631743 | + | 0.631743i | ||||
\(866\) | 12.2668 | + | 41.1431i | 0.416844 | + | 1.39810i | ||||
\(867\) | −8.69700 | + | 7.13744i | −0.295366 | + | 0.242400i | ||||
\(868\) | −24.7160 | − | 25.1917i | −0.838917 | − | 0.855063i | ||||
\(869\) | 17.1749 | − | 56.6182i | 0.582620 | − | 1.92064i | ||||
\(870\) | 21.7963 | − | 32.2864i | 0.738965 | − | 1.09461i | ||||
\(871\) | 1.22251 | − | 1.82961i | 0.0414231 | − | 0.0619941i | ||||
\(872\) | 54.5557 | + | 0.780031i | 1.84749 | + | 0.0264152i | ||||
\(873\) | −8.22265 | + | 5.49420i | −0.278295 | + | 0.185950i | ||||
\(874\) | −6.03610 | + | 5.97884i | −0.204174 | + | 0.202237i | ||||
\(875\) | −63.2200 | + | 6.22663i | −2.13723 | + | 0.210498i | ||||
\(876\) | 7.72612 | + | 4.22486i | 0.261041 | + | 0.142745i | ||||
\(877\) | −0.610560 | − | 2.01275i | −0.0206171 | − | 0.0679656i | 0.946028 | − | 0.324084i | \(-0.105056\pi\) |
−0.966645 | + | 0.256119i | \(0.917556\pi\) | |||||||
\(878\) | 8.55596 | + | 2.64001i | 0.288750 | + | 0.0890961i | ||||
\(879\) | 11.7626 | − | 28.3973i | 0.396741 | − | 0.957818i | ||||
\(880\) | 36.0149 | − | 51.7373i | 1.21406 | − | 1.74406i | ||||
\(881\) | −16.4208 | − | 39.6433i | −0.553231 | − | 1.33562i | −0.915039 | − | 0.403365i | \(-0.867840\pi\) |
0.361808 | − | 0.932253i | \(-0.382160\pi\) | |||||||
\(882\) | −0.175902 | − | 1.87765i | −0.00592291 | − | 0.0632238i | ||||
\(883\) | −0.746712 | + | 1.39700i | −0.0251288 | + | 0.0470128i | −0.894172 | − | 0.447723i | \(-0.852235\pi\) |
0.869044 | + | 0.494736i | \(0.164735\pi\) | |||||||
\(884\) | 3.84341 | + | 7.35836i | 0.129268 | + | 0.247488i | ||||
\(885\) | 4.08466 | − | 4.97718i | 0.137304 | − | 0.167306i | ||||
\(886\) | 17.9370 | − | 7.32978i | 0.602604 | − | 0.246249i | ||||
\(887\) | −41.3828 | − | 8.23155i | −1.38950 | − | 0.276388i | −0.557045 | − | 0.830483i | \(-0.688065\pi\) |
−0.832454 | + | 0.554094i | \(0.813065\pi\) | |||||||
\(888\) | 18.6725 | + | 15.7762i | 0.626606 | + | 0.529414i | ||||
\(889\) | 3.08466 | + | 15.5076i | 0.103456 | + | 0.520109i | ||||
\(890\) | −3.51235 | + | 17.2283i | −0.117734 | + | 0.577494i | ||||
\(891\) | 3.41560 | − | 1.82568i | 0.114427 | − | 0.0611624i | ||||
\(892\) | 16.7623 | + | 25.6117i | 0.561243 | + | 0.857543i | ||||
\(893\) | 0.211505 | − | 2.14745i | 0.00707775 | − | 0.0718616i | ||||
\(894\) | 29.9254 | + | 3.09146i | 1.00086 | + | 0.103394i | ||||
\(895\) | −4.06973 | −0.136036 | ||||||||
\(896\) | −23.3149 | − | 13.4806i | −0.778896 | − | 0.450355i | ||||
\(897\) | −14.4714 | −0.483185 | ||||||||
\(898\) | 22.9873 | + | 2.37471i | 0.767096 | + | 0.0792452i | ||||
\(899\) | 4.91846 | − | 49.9379i | 0.164040 | − | 1.66552i | ||||
\(900\) | 19.3422 | − | 12.6590i | 0.644739 | − | 0.421968i | ||||
\(901\) | −15.3255 | + | 8.19167i | −0.510568 | + | 0.272904i | ||||
\(902\) | −7.51602 | + | 36.8665i | −0.250256 | + | 1.22752i | ||||
\(903\) | 3.95505 | + | 19.8834i | 0.131616 | + | 0.661677i | ||||
\(904\) | −37.8352 | + | 3.18100i | −1.25838 | + | 0.105798i | ||||
\(905\) | −22.2826 | − | 4.43229i | −0.740700 | − | 0.147334i | ||||
\(906\) | −2.38089 | + | 0.972932i | −0.0790999 | + | 0.0323235i | ||||
\(907\) | −18.9321 | + | 23.0689i | −0.628631 | + | 0.765990i | −0.985777 | − | 0.168059i | \(-0.946250\pi\) |
0.357145 | + | 0.934049i | \(0.383750\pi\) | |||||||
\(908\) | −6.82913 | + | 3.56698i | −0.226633 | + | 0.118374i | ||||
\(909\) | 5.58769 | − | 10.4538i | 0.185332 | − | 0.346732i | ||||
\(910\) | −2.21191 | − | 23.6109i | −0.0733241 | − | 0.782694i | ||||
\(911\) | −9.84720 | − | 23.7732i | −0.326252 | − | 0.787643i | −0.998864 | − | 0.0476474i | \(-0.984828\pi\) |
0.672612 | − | 0.739995i | \(-0.265172\pi\) | |||||||
\(912\) | 2.80817 | + | 0.614447i | 0.0929877 | + | 0.0203464i | ||||
\(913\) | −14.4586 | + | 34.9061i | −0.478509 | + | 1.15522i | ||||
\(914\) | −36.8477 | − | 11.3697i | −1.21881 | − | 0.376075i | ||||
\(915\) | −0.896963 | − | 2.95689i | −0.0296527 | − | 0.0977518i | ||||
\(916\) | 4.45779 | − | 8.15209i | 0.147290 | − | 0.269353i | ||||
\(917\) | 3.79228 | − | 0.373507i | 0.125232 | − | 0.0123343i | ||||
\(918\) | 2.40915 | − | 2.38629i | 0.0795136 | − | 0.0787594i | ||||
\(919\) | −13.6916 | + | 9.14844i | −0.451645 | + | 0.301779i | −0.760510 | − | 0.649327i | \(-0.775051\pi\) |
0.308865 | + | 0.951106i | \(0.400051\pi\) | |||||||
\(920\) | 67.0528 | + | 68.9980i | 2.21066 | + | 2.27480i | ||||
\(921\) | 2.28547 | − | 3.42044i | 0.0753087 | − | 0.112707i | ||||
\(922\) | −2.00202 | + | 2.96555i | −0.0659332 | + | 0.0976651i | ||||
\(923\) | 0.235334 | − | 0.775792i | 0.00774611 | − | 0.0255355i | ||||
\(924\) | −13.1616 | + | 12.9131i | −0.432985 | + | 0.424809i | ||||
\(925\) | 77.2180 | − | 63.3712i | 2.53891 | − | 2.08363i | ||||
\(926\) | −6.96557 | − | 23.3626i | −0.228903 | − | 0.767744i | ||||
\(927\) | −4.25826 | + | 4.25826i | −0.139859 | + | 0.139859i | ||||
\(928\) | −6.57358 | − | 37.7242i | −0.215788 | − | 1.23836i | ||||
\(929\) | −35.6539 | − | 35.6539i | −1.16977 | − | 1.16977i | −0.982264 | − | 0.187503i | \(-0.939961\pi\) |
−0.187503 | − | 0.982264i | \(-0.560039\pi\) | |||||||
\(930\) | 20.2883 | − | 37.5254i | 0.665278 | − | 1.23051i | ||||
\(931\) | −0.607958 | − | 0.740799i | −0.0199250 | − | 0.0242787i | ||||
\(932\) | 14.0101 | − | 5.64733i | 0.458915 | − | 0.184984i | ||||
\(933\) | 27.8838 | + | 8.45846i | 0.912874 | + | 0.276917i | ||||
\(934\) | 2.18469 | + | 11.2635i | 0.0714853 | + | 0.368552i | ||||
\(935\) | −31.4191 | − | 20.9936i | −1.02751 | − | 0.686563i | ||||
\(936\) | 2.66181 | + | 4.10967i | 0.0870039 | + | 0.134329i | ||||
\(937\) | −2.78040 | − | 4.16117i | −0.0908318 | − | 0.135939i | 0.783271 | − | 0.621681i | \(-0.213550\pi\) |
−0.874103 | + | 0.485741i | \(0.838550\pi\) | |||||||
\(938\) | 4.27907 | + | 0.0203926i | 0.139716 | + | 0.000665843i | ||||
\(939\) | 0.212902 | + | 2.16163i | 0.00694779 | + | 0.0705421i | ||||
\(940\) | −24.2948 | − | 2.62687i | −0.792410 | − | 0.0856789i | ||||
\(941\) | −29.1453 | + | 8.84112i | −0.950109 | + | 0.288212i | −0.727044 | − | 0.686591i | \(-0.759106\pi\) |
−0.223065 | + | 0.974804i | \(0.571606\pi\) | |||||||
\(942\) | 6.77782 | − | 3.58140i | 0.220833 | − | 0.116688i | ||||
\(943\) | −53.0538 | − | 21.9756i | −1.72767 | − | 0.715624i | ||||
\(944\) | −0.500197 | − | 6.30943i | −0.0162800 | − | 0.205354i | ||||
\(945\) | −8.94910 | + | 3.70684i | −0.291114 | + | 0.120583i | ||||
\(946\) | −29.7632 | + | 35.9161i | −0.967684 | + | 1.16773i | ||||
\(947\) | −14.3226 | − | 7.65560i | −0.465423 | − | 0.248774i | 0.221978 | − | 0.975052i | \(-0.428749\pi\) |
−0.687401 | + | 0.726278i | \(0.741249\pi\) | |||||||
\(948\) | −2.70484 | − | 30.4338i | −0.0878492 | − | 0.988443i | ||||
\(949\) | 5.89191 | + | 4.83536i | 0.191259 | + | 0.156963i | ||||
\(950\) | 4.54703 | − | 10.8312i | 0.147525 | − | 0.351411i | ||||
\(951\) | −5.87952 | + | 29.5584i | −0.190657 | + | 0.958495i | ||||
\(952\) | −7.81289 | + | 14.1273i | −0.253217 | + | 0.457868i | ||||
\(953\) | 19.8793 | − | 3.95423i | 0.643952 | − | 0.128090i | 0.137698 | − | 0.990474i | \(-0.456030\pi\) |
0.506254 | + | 0.862384i | \(0.331030\pi\) | |||||||
\(954\) | −8.54909 | + | 5.65358i | −0.276787 | + | 0.183041i | ||||
\(955\) | 33.4148 | + | 62.5146i | 1.08128 | + | 2.02293i | ||||
\(956\) | 1.13576 | − | 1.66521i | 0.0367333 | − | 0.0538568i | ||||
\(957\) | −26.0904 | − | 2.56968i | −0.843384 | − | 0.0830661i | ||||
\(958\) | −29.6960 | + | 24.1350i | −0.959435 | + | 0.779766i | ||||
\(959\) | − | 12.2382i | − | 0.395192i | ||||||
\(960\) | 7.26108 | − | 31.7333i | 0.234350 | − | 1.02419i | ||||
\(961\) | − | 23.9505i | − | 0.772598i | ||||||
\(962\) | 13.3448 | + | 16.4196i | 0.430253 | + | 0.529390i | ||||
\(963\) | −18.0955 | − | 1.78225i | −0.583119 | − | 0.0574322i | ||||
\(964\) | 1.42499 | + | 7.53874i | 0.0458959 | + | 0.242806i | ||||
\(965\) | 10.3463 | + | 19.3565i | 0.333058 | + | 0.623108i | ||||
\(966\) | −15.5230 | − | 23.4732i | −0.499444 | − | 0.755238i | ||||
\(967\) | 26.4127 | − | 5.25381i | 0.849375 | − | 0.168951i | 0.248835 | − | 0.968546i | \(-0.419952\pi\) |
0.600540 | + | 0.799595i | \(0.294952\pi\) | |||||||
\(968\) | −11.2405 | − | 1.26960i | −0.361284 | − | 0.0408065i | ||||
\(969\) | 0.336168 | − | 1.69003i | 0.0107993 | − | 0.0542917i | ||||
\(970\) | 52.4735 | + | 22.0288i | 1.68482 | + | 0.707301i | ||||
\(971\) | 36.5372 | + | 29.9853i | 1.17253 | + | 0.962274i | 0.999743 | − | 0.0226849i | \(-0.00722145\pi\) |
0.172791 | + | 0.984958i | \(0.444721\pi\) | |||||||
\(972\) | 1.28346 | − | 1.53386i | 0.0411671 | − | 0.0491985i | ||||
\(973\) | 32.3568 | + | 17.2951i | 1.03731 | + | 0.554454i | ||||
\(974\) | 5.32613 | + | 4.41369i | 0.170660 | + | 0.141424i | ||||
\(975\) | 18.4858 | − | 7.65706i | 0.592019 | − | 0.245222i | ||||
\(976\) | −2.65098 | − | 1.48263i | −0.0848557 | − | 0.0474577i | ||||
\(977\) | 32.4891 | + | 13.4574i | 1.03942 | + | 0.430541i | 0.836103 | − | 0.548572i | \(-0.184828\pi\) |
0.203316 | + | 0.979113i | \(0.434828\pi\) | |||||||
\(978\) | 6.80651 | + | 12.8814i | 0.217648 | + | 0.411901i | ||||
\(979\) | 11.3236 | − | 3.43498i | 0.361904 | − | 0.109782i | ||||
\(980\) | −8.45442 | + | 6.80455i | −0.270067 | + | 0.217363i | ||||
\(981\) | −1.89078 | − | 19.1974i | −0.0603680 | − | 0.612927i | ||||
\(982\) | 0.179202 | − | 37.6026i | 0.00571856 | − | 1.19995i | ||||
\(983\) | −22.0422 | − | 32.9885i | −0.703037 | − | 1.05217i | −0.995395 | − | 0.0958605i | \(-0.969440\pi\) |
0.292358 | − | 0.956309i | \(-0.405560\pi\) | |||||||
\(984\) | 3.51773 | + | 19.1087i | 0.112141 | + | 0.609162i | ||||
\(985\) | −89.5135 | − | 59.8110i | −2.85214 | − | 1.90574i | ||||
\(986\) | −22.5341 | + | 4.37077i | −0.717631 | + | 0.139194i | ||||
\(987\) | 6.83979 | + | 2.07483i | 0.217713 | + | 0.0660425i | ||||
\(988\) | 2.28958 | + | 0.974046i | 0.0728414 | + | 0.0309885i | ||||
\(989\) | −45.1644 | − | 55.0329i | −1.43614 | − | 1.74995i | ||||
\(990\) | −19.6054 | − | 10.5997i | −0.623101 | − | 0.336882i | ||||
\(991\) | 25.2456 | + | 25.2456i | 0.801952 | + | 0.801952i | 0.983400 | − | 0.181449i | \(-0.0580786\pi\) |
−0.181449 | + | 0.983400i | \(0.558079\pi\) | |||||||
\(992\) | −11.2131 | − | 40.4065i | −0.356017 | − | 1.28291i | ||||
\(993\) | 9.95741 | − | 9.95741i | 0.315989 | − | 0.315989i | ||||
\(994\) | 1.51081 | − | 0.450447i | 0.0479198 | − | 0.0142873i | ||||
\(995\) | 68.1978 | − | 55.9685i | 2.16201 | − | 1.77432i | ||||
\(996\) | −0.185961 | + | 19.5101i | −0.00589241 | + | 0.618200i | ||||
\(997\) | −3.19033 | + | 10.5171i | −0.101039 | + | 0.333080i | −0.992856 | − | 0.119315i | \(-0.961930\pi\) |
0.891818 | + | 0.452395i | \(0.149430\pi\) | |||||||
\(998\) | −11.4511 | − | 7.73057i | −0.362478 | − | 0.244707i | ||||
\(999\) | 4.80154 | − | 7.18601i | 0.151914 | − | 0.227355i |
(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 | 384.2.v.a.157.15 | ✓ | 512 | |
128.53 | even | 32 | inner | 384.2.v.a.181.15 | yes | 512 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
384.2.v.a.157.15 | ✓ | 512 | 1.1 | even | 1 | trivial | |
384.2.v.a.181.15 | yes | 512 | 128.53 | even | 32 | inner |