Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [576,2,Mod(13,576)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(576, base_ring=CyclotomicField(48))
chi = DirichletCharacter(H, H._module([0, 45, 16]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("576.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 576 = 2^{6} \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 576.bm (of order \(48\), 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: | \(4.59938315643\) |
Analytic rank: | \(0\) |
Dimension: | \(1504\) |
Relative dimension: | \(94\) over \(\Q(\zeta_{48})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{48}]$ |
Embedding invariants
Embedding label | 205.83 | ||
Character | \(\chi\) | \(=\) | 576.205 |
Dual form | 576.2.bm.a.517.83 |
$q$-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 \(\left(\mathbb{Z}/576\mathbb{Z}\right)^\times\).
\(n\) | \(65\) | \(127\) | \(325\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(1\) | \(e\left(\frac{15}{16}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.30543 | − | 0.543929i | 0.923077 | − | 0.384616i | ||||
\(3\) | 1.15779 | + | 1.28823i | 0.668448 | + | 0.743759i | ||||
\(4\) | 1.40828 | − | 1.42012i | 0.704141 | − | 0.710060i | ||||
\(5\) | −0.183842 | − | 0.209632i | −0.0822168 | − | 0.0937503i | 0.709269 | − | 0.704938i | \(-0.249025\pi\) |
−0.791486 | + | 0.611188i | \(0.790692\pi\) | |||||||
\(6\) | 2.21211 | + | 1.05194i | 0.903090 | + | 0.429451i | ||||
\(7\) | 1.21328 | + | 0.159731i | 0.458575 | + | 0.0603725i | 0.356275 | − | 0.934381i | \(-0.384047\pi\) |
0.102300 | + | 0.994754i | \(0.467380\pi\) | |||||||
\(8\) | 1.06596 | − | 2.61987i | 0.376875 | − | 0.926264i | ||||
\(9\) | −0.319065 | + | 2.98298i | −0.106355 | + | 0.994328i | ||||
\(10\) | −0.354018 | − | 0.173662i | −0.111950 | − | 0.0549168i | ||||
\(11\) | −0.510235 | − | 1.03465i | −0.153842 | − | 0.311960i | 0.806284 | − | 0.591529i | \(-0.201475\pi\) |
−0.960126 | + | 0.279568i | \(0.909809\pi\) | |||||||
\(12\) | 3.45993 | + | 0.169994i | 0.998795 | + | 0.0490730i | ||||
\(13\) | −0.0481770 | − | 0.141925i | −0.0133619 | − | 0.0393629i | 0.940045 | − | 0.341051i | \(-0.110783\pi\) |
−0.953407 | + | 0.301689i | \(0.902450\pi\) | |||||||
\(14\) | 1.67073 | − | 0.451419i | 0.446520 | − | 0.120647i | ||||
\(15\) | 0.0572040 | − | 0.479540i | 0.0147700 | − | 0.123817i | ||||
\(16\) | −0.0334850 | − | 3.99986i | −0.00837126 | − | 0.999965i | ||||
\(17\) | 2.67303 | + | 2.67303i | 0.648306 | + | 0.648306i | 0.952583 | − | 0.304277i | \(-0.0984150\pi\) |
−0.304277 | + | 0.952583i | \(0.598415\pi\) | |||||||
\(18\) | 1.20602 | + | 4.06762i | 0.284261 | + | 0.958747i | ||||
\(19\) | 0.709222 | − | 3.56550i | 0.162707 | − | 0.817982i | −0.810087 | − | 0.586309i | \(-0.800580\pi\) |
0.972794 | − | 0.231672i | \(-0.0744197\pi\) | |||||||
\(20\) | −0.556605 | − | 0.0341426i | −0.124461 | − | 0.00763453i | ||||
\(21\) | 1.19894 | + | 1.74791i | 0.261631 | + | 0.381425i | ||||
\(22\) | −1.22885 | − | 1.07313i | −0.261993 | − | 0.228793i | ||||
\(23\) | 0.854444 | + | 6.49015i | 0.178164 | + | 1.35329i | 0.813730 | + | 0.581243i | \(0.197433\pi\) |
−0.635566 | + | 0.772046i | \(0.719233\pi\) | |||||||
\(24\) | 4.60915 | − | 1.66004i | 0.940839 | − | 0.338855i | ||||
\(25\) | 0.642483 | − | 4.88015i | 0.128497 | − | 0.976029i | ||||
\(26\) | −0.140089 | − | 0.159068i | −0.0274737 | − | 0.0311958i | ||||
\(27\) | −4.21218 | + | 3.04263i | −0.810634 | + | 0.585554i | ||||
\(28\) | 1.93547 | − | 1.49805i | 0.365770 | − | 0.283105i | ||||
\(29\) | −5.01085 | + | 0.328428i | −0.930491 | + | 0.0609876i | −0.523105 | − | 0.852268i | \(-0.675226\pi\) |
−0.407386 | + | 0.913256i | \(0.633560\pi\) | |||||||
\(30\) | −0.186160 | − | 0.657120i | −0.0339881 | − | 0.119973i | ||||
\(31\) | −7.19242 | + | 4.15254i | −1.29180 | + | 0.745819i | −0.978972 | − | 0.203993i | \(-0.934608\pi\) |
−0.312823 | + | 0.949811i | \(0.601275\pi\) | |||||||
\(32\) | −2.21935 | − | 5.20331i | −0.392330 | − | 0.919825i | ||||
\(33\) | 0.742129 | − | 1.85521i | 0.129188 | − | 0.322950i | ||||
\(34\) | 4.94339 | + | 2.03551i | 0.847785 | + | 0.349087i | ||||
\(35\) | −0.189567 | − | 0.283707i | −0.0320426 | − | 0.0479552i | ||||
\(36\) | 3.78686 | + | 4.65399i | 0.631144 | + | 0.775666i | ||||
\(37\) | 0.345024 | + | 1.73455i | 0.0567216 | + | 0.285159i | 0.998727 | − | 0.0504384i | \(-0.0160619\pi\) |
−0.942006 | + | 0.335597i | \(0.891062\pi\) | |||||||
\(38\) | −1.01354 | − | 5.04027i | −0.164418 | − | 0.817639i | ||||
\(39\) | 0.127053 | − | 0.226382i | 0.0203448 | − | 0.0362501i | ||||
\(40\) | −0.745178 | + | 0.258183i | −0.117823 | + | 0.0408223i | ||||
\(41\) | −0.636262 | − | 4.83289i | −0.0993674 | − | 0.754770i | −0.966495 | − | 0.256685i | \(-0.917370\pi\) |
0.867128 | − | 0.498086i | \(-0.165964\pi\) | |||||||
\(42\) | 2.51587 | + | 1.62963i | 0.388208 | + | 0.251457i | ||||
\(43\) | 5.19198 | − | 2.56040i | 0.791769 | − | 0.390457i | −0.000984401 | − | 1.00000i | \(-0.500313\pi\) |
0.792754 | + | 0.609542i | \(0.208647\pi\) | |||||||
\(44\) | −2.18789 | − | 0.732490i | −0.329837 | − | 0.110427i | ||||
\(45\) | 0.683987 | − | 0.481513i | 0.101963 | − | 0.0717797i | ||||
\(46\) | 4.64560 | + | 8.00766i | 0.684956 | + | 1.18067i | ||||
\(47\) | −7.62894 | + | 2.04417i | −1.11279 | + | 0.298173i | −0.767964 | − | 0.640492i | \(-0.778730\pi\) |
−0.344831 | + | 0.938665i | \(0.612064\pi\) | |||||||
\(48\) | 5.11397 | − | 4.67412i | 0.738137 | − | 0.674651i | ||||
\(49\) | −5.31496 | − | 1.42414i | −0.759280 | − | 0.203448i | ||||
\(50\) | −1.81574 | − | 6.72014i | −0.256784 | − | 0.950372i | ||||
\(51\) | −0.348679 | + | 6.53828i | −0.0488248 | + | 0.915542i | ||||
\(52\) | −0.269397 | − | 0.131453i | −0.0373587 | − | 0.0182293i | ||||
\(53\) | −0.478068 | + | 0.715480i | −0.0656678 | + | 0.0982787i | −0.862850 | − | 0.505460i | \(-0.831323\pi\) |
0.797182 | + | 0.603739i | \(0.206323\pi\) | |||||||
\(54\) | −3.84372 | + | 6.26305i | −0.523063 | + | 0.852294i | ||||
\(55\) | −0.123094 | + | 0.297175i | −0.0165980 | + | 0.0400711i | ||||
\(56\) | 1.71178 | − | 3.00836i | 0.228747 | − | 0.402009i | ||||
\(57\) | 5.41430 | − | 3.21444i | 0.717142 | − | 0.425763i | ||||
\(58\) | −6.36266 | + | 3.15429i | −0.835458 | + | 0.414178i | ||||
\(59\) | 5.66055 | + | 6.45461i | 0.736940 | + | 0.840319i | 0.991951 | − | 0.126619i | \(-0.0404125\pi\) |
−0.255011 | + | 0.966938i | \(0.582079\pi\) | |||||||
\(60\) | −0.600445 | − | 0.756564i | −0.0775171 | − | 0.0976720i | ||||
\(61\) | −0.723344 | − | 11.0361i | −0.0926147 | − | 1.41303i | −0.750978 | − | 0.660327i | \(-0.770418\pi\) |
0.658363 | − | 0.752701i | \(-0.271249\pi\) | |||||||
\(62\) | −7.13049 | + | 9.33301i | −0.905573 | + | 1.18529i | ||||
\(63\) | −0.863589 | + | 3.56822i | −0.108802 | + | 0.449553i | ||||
\(64\) | −5.72744 | − | 5.58538i | −0.715930 | − | 0.698172i | ||||
\(65\) | −0.0208950 | + | 0.0361913i | −0.00259171 | + | 0.00448897i | ||||
\(66\) | −0.0403067 | − | 2.82551i | −0.00496141 | − | 0.347796i | ||||
\(67\) | 1.14588 | + | 0.565086i | 0.139992 | + | 0.0690363i | 0.510935 | − | 0.859619i | \(-0.329299\pi\) |
−0.370944 | + | 0.928655i | \(0.620966\pi\) | |||||||
\(68\) | 7.56042 | − | 0.0316457i | 0.916835 | − | 0.00383760i | ||||
\(69\) | −7.37153 | + | 8.61492i | −0.887428 | + | 1.03711i | ||||
\(70\) | −0.401782 | − | 0.267248i | −0.0480221 | − | 0.0319422i | ||||
\(71\) | −1.43389 | − | 3.46171i | −0.170171 | − | 0.410829i | 0.815669 | − | 0.578519i | \(-0.196369\pi\) |
−0.985840 | + | 0.167690i | \(0.946369\pi\) | |||||||
\(72\) | 7.47492 | + | 4.01567i | 0.880928 | + | 0.473251i | ||||
\(73\) | −1.96115 | + | 4.73463i | −0.229535 | + | 0.554146i | −0.996121 | − | 0.0879953i | \(-0.971954\pi\) |
0.766586 | + | 0.642142i | \(0.221954\pi\) | |||||||
\(74\) | 1.39388 | + | 2.07667i | 0.162035 | + | 0.241407i | ||||
\(75\) | 7.03060 | − | 4.82250i | 0.811824 | − | 0.556854i | ||||
\(76\) | −4.06465 | − | 6.02841i | −0.466248 | − | 0.691506i | ||||
\(77\) | −0.453790 | − | 1.33682i | −0.0517141 | − | 0.152345i | ||||
\(78\) | 0.0427230 | − | 0.364633i | 0.00483742 | − | 0.0412865i | ||||
\(79\) | −0.0723923 | − | 0.270172i | −0.00814477 | − | 0.0303967i | 0.961734 | − | 0.273985i | \(-0.0883420\pi\) |
−0.969879 | + | 0.243589i | \(0.921675\pi\) | |||||||
\(80\) | −0.832343 | + | 0.742363i | −0.0930588 | + | 0.0829987i | ||||
\(81\) | −8.79639 | − | 1.90353i | −0.977377 | − | 0.211504i | ||||
\(82\) | −3.45934 | − | 5.96290i | −0.382021 | − | 0.658493i | ||||
\(83\) | 0.835637 | + | 0.732834i | 0.0917231 | + | 0.0804390i | 0.703980 | − | 0.710220i | \(-0.251405\pi\) |
−0.612256 | + | 0.790659i | \(0.709738\pi\) | |||||||
\(84\) | 4.17069 | + | 0.758906i | 0.455060 | + | 0.0828034i | ||||
\(85\) | 0.0689367 | − | 1.05177i | 0.00747723 | − | 0.114081i | ||||
\(86\) | 5.38507 | − | 6.16649i | 0.580688 | − | 0.664949i | ||||
\(87\) | −6.22458 | − | 6.07487i | −0.667345 | − | 0.651294i | ||||
\(88\) | −3.25455 | + | 0.233845i | −0.346937 | + | 0.0249280i | ||||
\(89\) | −16.2958 | + | 6.74994i | −1.72735 | + | 0.715493i | −0.727793 | + | 0.685797i | \(0.759454\pi\) |
−0.999559 | + | 0.0296960i | \(0.990546\pi\) | |||||||
\(90\) | 0.630986 | − | 1.00062i | 0.0665118 | − | 0.105475i | ||||
\(91\) | −0.0357822 | − | 0.179889i | −0.00375099 | − | 0.0188575i | ||||
\(92\) | 10.4201 | + | 7.92654i | 1.08637 | + | 0.826399i | ||||
\(93\) | −13.6767 | − | 4.45772i | −1.41821 | − | 0.462244i | ||||
\(94\) | −8.84714 | + | 6.81812i | −0.912513 | + | 0.703235i | ||||
\(95\) | −0.877828 | + | 0.506814i | −0.0900632 | + | 0.0519980i | ||||
\(96\) | 4.13352 | − | 8.88336i | 0.421876 | − | 0.906654i | ||||
\(97\) | 7.35415 | + | 4.24592i | 0.746700 | + | 0.431108i | 0.824500 | − | 0.565861i | \(-0.191456\pi\) |
−0.0778000 | + | 0.996969i | \(0.524790\pi\) | |||||||
\(98\) | −7.71292 | + | 1.03185i | −0.779123 | + | 0.104233i | ||||
\(99\) | 3.24916 | − | 1.19190i | 0.326553 | − | 0.119791i | ||||
\(100\) | −6.02560 | − | 7.78502i | −0.602560 | − | 0.778502i | ||||
\(101\) | −3.88905 | − | 1.32015i | −0.386975 | − | 0.131360i | 0.121170 | − | 0.992632i | \(-0.461335\pi\) |
−0.508145 | + | 0.861271i | \(0.669669\pi\) | |||||||
\(102\) | 3.10119 | + | 8.72491i | 0.307063 | + | 0.863895i | ||||
\(103\) | 0.396253 | + | 0.304056i | 0.0390440 | + | 0.0299595i | 0.628099 | − | 0.778133i | \(-0.283833\pi\) |
−0.589055 | + | 0.808093i | \(0.700500\pi\) | |||||||
\(104\) | −0.423180 | − | 0.0250694i | −0.0414962 | − | 0.00245825i | ||||
\(105\) | 0.146001 | − | 0.572677i | 0.0142483 | − | 0.0558875i | ||||
\(106\) | −0.234913 | + | 1.19404i | −0.0228168 | + | 0.115976i | ||||
\(107\) | 8.81592 | + | 5.89061i | 0.852267 | + | 0.569467i | 0.903193 | − | 0.429236i | \(-0.141217\pi\) |
−0.0509252 | + | 0.998702i | \(0.516217\pi\) | |||||||
\(108\) | −1.61103 | + | 10.2667i | −0.155022 | + | 0.987911i | ||||
\(109\) | 3.27783 | − | 16.4787i | 0.313959 | − | 1.57838i | −0.425361 | − | 0.905024i | \(-0.639853\pi\) |
0.739320 | − | 0.673354i | \(-0.235147\pi\) | |||||||
\(110\) | 0.000952023 | 0.454895i | 9.07719e−5 | 0.0433725i | ||||||
\(111\) | −1.83504 | + | 2.45271i | −0.174174 | + | 0.232801i | ||||
\(112\) | 0.598274 | − | 4.85828i | 0.0565316 | − | 0.459064i | ||||
\(113\) | −2.24672 | − | 0.602006i | −0.211353 | − | 0.0566320i | 0.151589 | − | 0.988444i | \(-0.451561\pi\) |
−0.362942 | + | 0.931812i | \(0.618228\pi\) | |||||||
\(114\) | 5.31955 | − | 7.14122i | 0.498222 | − | 0.668837i | ||||
\(115\) | 1.20346 | − | 1.37228i | 0.112223 | − | 0.127966i | ||||
\(116\) | −6.59028 | + | 7.57853i | −0.611892 | + | 0.703649i | ||||
\(117\) | 0.438731 | − | 0.0984279i | 0.0405607 | − | 0.00909967i | ||||
\(118\) | 10.9003 | + | 5.34709i | 1.00345 | + | 0.492240i | ||||
\(119\) | 2.81616 | + | 3.67009i | 0.258157 | + | 0.336437i | ||||
\(120\) | −1.19535 | − | 0.661039i | −0.109120 | − | 0.0603444i | ||||
\(121\) | 5.88621 | − | 7.67105i | 0.535110 | − | 0.697368i | ||||
\(122\) | −6.94713 | − | 14.0134i | −0.628964 | − | 1.26871i | ||||
\(123\) | 5.48921 | − | 6.41510i | 0.494945 | − | 0.578430i | ||||
\(124\) | −4.23184 | + | 16.0620i | −0.380030 | + | 1.44241i | ||||
\(125\) | −2.30032 | + | 1.53703i | −0.205747 | + | 0.137476i | ||||
\(126\) | 0.813506 | + | 5.12778i | 0.0724729 | + | 0.456819i | ||||
\(127\) | −5.65668 | −0.501949 | −0.250975 | − | 0.967994i | \(-0.580751\pi\) | ||||
−0.250975 | + | 0.967994i | \(0.580751\pi\) | |||||||
\(128\) | −10.5148 | − | 4.17598i | −0.929386 | − | 0.369108i | ||||
\(129\) | 9.30958 | + | 3.72406i | 0.819663 | + | 0.327885i | ||||
\(130\) | −0.00759146 | + | 0.0586105i | −0.000665815 | + | 0.00514048i | ||||
\(131\) | 12.3238 | + | 6.07744i | 1.07674 | + | 0.530989i | 0.892109 | − | 0.451820i | \(-0.149225\pi\) |
0.184629 | + | 0.982808i | \(0.440892\pi\) | |||||||
\(132\) | −1.58949 | − | 3.66657i | −0.138348 | − | 0.319134i | ||||
\(133\) | 1.43000 | − | 4.21265i | 0.123997 | − | 0.365283i | ||||
\(134\) | 1.80323 | + | 0.114400i | 0.155775 | + | 0.00988270i | ||||
\(135\) | 1.41221 | + | 0.323643i | 0.121544 | + | 0.0278548i | ||||
\(136\) | 9.85236 | − | 4.15364i | 0.844833 | − | 0.356172i | ||||
\(137\) | −7.62797 | − | 9.94096i | −0.651701 | − | 0.849314i | 0.344281 | − | 0.938867i | \(-0.388123\pi\) |
−0.995982 | + | 0.0895532i | \(0.971456\pi\) | |||||||
\(138\) | −4.93709 | + | 15.2557i | −0.420273 | + | 1.29866i | ||||
\(139\) | −7.27712 | − | 0.476968i | −0.617237 | − | 0.0404559i | −0.246422 | − | 0.969163i | \(-0.579255\pi\) |
−0.370815 | + | 0.928707i | \(0.620922\pi\) | |||||||
\(140\) | −0.669861 | − | 0.130331i | −0.0566136 | − | 0.0110150i | ||||
\(141\) | −11.4660 | − | 7.46111i | −0.965614 | − | 0.628339i | ||||
\(142\) | −3.75476 | − | 3.73907i | −0.315092 | − | 0.313776i | ||||
\(143\) | −0.122262 | + | 0.122262i | −0.0102240 | + | 0.0102240i | ||||
\(144\) | 11.9422 | + | 1.17633i | 0.995184 | + | 0.0980277i | ||||
\(145\) | 0.990055 | + | 0.990055i | 0.0822196 | + | 0.0822196i | ||||
\(146\) | 0.0151678 | + | 7.24744i | 0.00125529 | + | 0.599802i | ||||
\(147\) | −4.31896 | − | 8.49573i | −0.356222 | − | 0.700716i | ||||
\(148\) | 2.94917 | + | 1.95276i | 0.242420 | + | 0.160516i | ||||
\(149\) | −0.608432 | + | 9.28287i | −0.0498447 | + | 0.760482i | 0.897650 | + | 0.440710i | \(0.145273\pi\) |
−0.947494 | + | 0.319773i | \(0.896393\pi\) | |||||||
\(150\) | 6.55484 | − | 10.1196i | 0.535201 | − | 0.826259i | ||||
\(151\) | 1.93056 | − | 1.48137i | 0.157106 | − | 0.120552i | −0.527217 | − | 0.849731i | \(-0.676764\pi\) |
0.684323 | + | 0.729179i | \(0.260098\pi\) | |||||||
\(152\) | −8.58514 | − | 5.65876i | −0.696347 | − | 0.458986i | ||||
\(153\) | −8.82649 | + | 7.12075i | −0.713580 | + | 0.575678i | ||||
\(154\) | −1.31953 | − | 1.49829i | −0.106330 | − | 0.120736i | ||||
\(155\) | 2.19278 | + | 0.744347i | 0.176128 | + | 0.0597874i | ||||
\(156\) | −0.142563 | − | 0.499240i | −0.0114141 | − | 0.0399712i | ||||
\(157\) | −4.90323 | + | 9.94277i | −0.391320 | + | 0.793519i | 0.608680 | + | 0.793416i | \(0.291700\pi\) |
−1.00000 | 0.000103252i | \(0.999967\pi\) | ||||||||
\(158\) | −0.241457 | − | 0.313313i | −0.0192093 | − | 0.0249259i | ||||
\(159\) | −1.47520 | + | 0.212511i | −0.116991 | + | 0.0168532i | ||||
\(160\) | −0.682770 | + | 1.42184i | −0.0539777 | + | 0.112406i | ||||
\(161\) | 8.01082i | 0.631341i | ||||||||
\(162\) | −12.5184 | + | 2.29969i | −0.983542 | + | 0.180681i | ||||
\(163\) | 3.75506 | + | 5.61985i | 0.294119 | + | 0.440181i | 0.948871 | − | 0.315663i | \(-0.102227\pi\) |
−0.654752 | + | 0.755844i | \(0.727227\pi\) | |||||||
\(164\) | −7.75932 | − | 5.90250i | −0.605901 | − | 0.460908i | ||||
\(165\) | −0.525346 | + | 0.185492i | −0.0408981 | + | 0.0144405i | ||||
\(166\) | 1.48947 | + | 0.502134i | 0.115606 | + | 0.0389732i | ||||
\(167\) | 2.68903 | + | 2.06337i | 0.208084 | + | 0.159668i | 0.707546 | − | 0.706668i | \(-0.249802\pi\) |
−0.499462 | + | 0.866336i | \(0.666469\pi\) | |||||||
\(168\) | 5.85733 | − | 1.27787i | 0.451903 | − | 0.0985894i | ||||
\(169\) | 10.2958 | − | 7.90022i | 0.791982 | − | 0.607710i | ||||
\(170\) | −0.482097 | − | 1.41051i | −0.0369752 | − | 0.108181i | ||||
\(171\) | 10.4095 | + | 3.25323i | 0.796038 | + | 0.248780i | ||||
\(172\) | 3.67569 | − | 10.9790i | 0.280269 | − | 0.837141i | ||||
\(173\) | 2.64906 | + | 2.32316i | 0.201404 | + | 0.176627i | 0.754107 | − | 0.656752i | \(-0.228070\pi\) |
−0.552702 | + | 0.833379i | \(0.686403\pi\) | |||||||
\(174\) | −11.4300 | − | 4.54457i | −0.866509 | − | 0.344523i | ||||
\(175\) | 1.55902 | − | 5.81834i | 0.117851 | − | 0.439825i | ||||
\(176\) | −4.12139 | + | 2.07552i | −0.310661 | + | 0.156448i | ||||
\(177\) | −1.76132 | + | 14.7651i | −0.132389 | + | 1.10982i | ||||
\(178\) | −17.6015 | + | 17.6753i | −1.31929 | + | 1.32482i | ||||
\(179\) | 7.28757 | + | 1.44959i | 0.544699 | + | 0.108347i | 0.459767 | − | 0.888039i | \(-0.347933\pi\) |
0.0849315 | + | 0.996387i | \(0.472933\pi\) | |||||||
\(180\) | 0.279440 | − | 1.64945i | 0.0208283 | − | 0.122943i | ||||
\(181\) | 7.16250 | − | 10.7194i | 0.532384 | − | 0.796769i | −0.463624 | − | 0.886032i | \(-0.653451\pi\) |
0.996008 | + | 0.0892629i | \(0.0284511\pi\) | |||||||
\(182\) | −0.144558 | − | 0.215369i | −0.0107154 | − | 0.0159642i | ||||
\(183\) | 13.3795 | − | 13.7093i | 0.989044 | − | 1.01342i | ||||
\(184\) | 17.9142 | + | 4.67973i | 1.32065 | + | 0.344995i | ||||
\(185\) | 0.300188 | − | 0.391213i | 0.0220703 | − | 0.0287625i | ||||
\(186\) | −20.2786 | + | 1.61993i | −1.48690 | + | 0.118779i | ||||
\(187\) | 1.40179 | − | 4.12955i | 0.102509 | − | 0.301982i | ||||
\(188\) | −7.84073 | + | 13.7128i | −0.571844 | + | 1.00011i | ||||
\(189\) | −5.59653 | + | 3.01873i | −0.407088 | + | 0.219580i | ||||
\(190\) | −0.870270 | + | 1.13909i | −0.0631360 | + | 0.0826380i | ||||
\(191\) | −9.56011 | + | 16.5586i | −0.691745 | + | 1.19814i | 0.279520 | + | 0.960140i | \(0.409825\pi\) |
−0.971266 | + | 0.237998i | \(0.923509\pi\) | |||||||
\(192\) | 0.564095 | − | 13.8449i | 0.0407101 | − | 0.999171i | ||||
\(193\) | 3.89562 | + | 6.74742i | 0.280413 | + | 0.485690i | 0.971486 | − | 0.237095i | \(-0.0761952\pi\) |
−0.691073 | + | 0.722785i | \(0.742862\pi\) | |||||||
\(194\) | 11.9098 | + | 1.54260i | 0.855073 | + | 0.110752i | ||||
\(195\) | −0.0708146 | + | 0.0149841i | −0.00507114 | + | 0.00107304i | ||||
\(196\) | −9.50741 | + | 5.54229i | −0.679100 | + | 0.395878i | ||||
\(197\) | −20.6762 | + | 4.11275i | −1.47312 | + | 0.293021i | −0.865380 | − | 0.501116i | \(-0.832923\pi\) |
−0.607738 | + | 0.794138i | \(0.707923\pi\) | |||||||
\(198\) | 3.59323 | − | 3.32325i | 0.255360 | − | 0.236173i | ||||
\(199\) | 7.67423 | + | 18.5272i | 0.544012 | + | 1.31336i | 0.921871 | + | 0.387498i | \(0.126661\pi\) |
−0.377859 | + | 0.925863i | \(0.623339\pi\) | |||||||
\(200\) | −12.1005 | − | 6.88528i | −0.855633 | − | 0.486863i | ||||
\(201\) | 0.598725 | + | 2.13041i | 0.0422308 | + | 0.150267i | ||||
\(202\) | −5.79494 | + | 0.392002i | −0.407731 | + | 0.0275812i | ||||
\(203\) | −6.13200 | − | 0.401912i | −0.430382 | − | 0.0282087i | ||||
\(204\) | 8.79411 | + | 9.70291i | 0.615711 | + | 0.679339i | ||||
\(205\) | −0.896156 | + | 1.02187i | −0.0625903 | + | 0.0713705i | ||||
\(206\) | 0.682665 | + | 0.181389i | 0.0475635 | + | 0.0126380i | ||||
\(207\) | −19.6326 | + | 0.478012i | −1.36456 | + | 0.0332241i | ||||
\(208\) | −0.566066 | + | 0.197454i | −0.0392496 | + | 0.0136909i | ||||
\(209\) | −4.05093 | + | 1.08544i | −0.280209 | + | 0.0750817i | ||||
\(210\) | −0.120901 | − | 0.827002i | −0.00834299 | − | 0.0570686i | ||||
\(211\) | 17.2493 | − | 5.85534i | 1.18749 | − | 0.403098i | 0.343342 | − | 0.939210i | \(-0.388441\pi\) |
0.844147 | + | 0.536112i | \(0.180108\pi\) | |||||||
\(212\) | 0.342813 | + | 1.68651i | 0.0235445 | + | 0.115830i | ||||
\(213\) | 2.79934 | − | 5.85508i | 0.191807 | − | 0.401184i | ||||
\(214\) | 14.7126 | + | 2.89453i | 1.00573 | + | 0.197866i | ||||
\(215\) | −1.49125 | − | 0.617695i | −0.101702 | − | 0.0421264i | ||||
\(216\) | 3.48126 | + | 14.2787i | 0.236870 | + | 0.971541i | ||||
\(217\) | −9.38967 | + | 3.88933i | −0.637412 | + | 0.264025i | ||||
\(218\) | −4.68431 | − | 23.2947i | −0.317261 | − | 1.57772i | ||||
\(219\) | −8.36987 | + | 2.95528i | −0.565584 | + | 0.199699i | ||||
\(220\) | 0.248673 | + | 0.593314i | 0.0167656 | + | 0.0400013i | ||||
\(221\) | 0.250591 | − | 0.508149i | 0.0168566 | − | 0.0341818i | ||||
\(222\) | −1.06141 | + | 4.19997i | −0.0712370 | + | 0.281883i | ||||
\(223\) | 19.3807 | + | 11.1894i | 1.29783 | + | 0.749300i | 0.980028 | − | 0.198859i | \(-0.0637236\pi\) |
0.317797 | + | 0.948159i | \(0.397057\pi\) | |||||||
\(224\) | −1.86156 | − | 6.66755i | −0.124381 | − | 0.445494i | ||||
\(225\) | 14.3524 | + | 3.47360i | 0.956827 | + | 0.231574i | ||||
\(226\) | −3.26038 | + | 0.436180i | −0.216877 | + | 0.0290143i | ||||
\(227\) | 20.2269 | − | 1.32574i | 1.34250 | − | 0.0879924i | 0.622859 | − | 0.782334i | \(-0.285971\pi\) |
0.719645 | + | 0.694342i | \(0.244304\pi\) | |||||||
\(228\) | 3.05997 | − | 12.2158i | 0.202651 | − | 0.809012i | ||||
\(229\) | 13.6034 | − | 11.9299i | 0.898940 | − | 0.788349i | −0.0790783 | − | 0.996868i | \(-0.525198\pi\) |
0.978018 | + | 0.208519i | \(0.0668644\pi\) | |||||||
\(230\) | 0.824605 | − | 2.44601i | 0.0543728 | − | 0.161285i | ||||
\(231\) | 1.19674 | − | 2.13234i | 0.0787397 | − | 0.140298i | ||||
\(232\) | −4.48095 | + | 13.4779i | −0.294189 | + | 0.884865i | ||||
\(233\) | 15.0278 | + | 6.22473i | 0.984505 | + | 0.407795i | 0.816093 | − | 0.577921i | \(-0.196136\pi\) |
0.168413 | + | 0.985717i | \(0.446136\pi\) | |||||||
\(234\) | 0.519194 | − | 0.367129i | 0.0339408 | − | 0.0240000i | ||||
\(235\) | 1.83105 | + | 1.22347i | 0.119444 | + | 0.0798101i | ||||
\(236\) | 17.1380 | + | 1.05126i | 1.11559 | + | 0.0684311i | ||||
\(237\) | 0.264228 | − | 0.406059i | 0.0171635 | − | 0.0263763i | ||||
\(238\) | 5.67257 | + | 3.25925i | 0.367698 | + | 0.211266i | ||||
\(239\) | −4.40564 | + | 16.4421i | −0.284977 | + | 1.06355i | 0.663879 | + | 0.747840i | \(0.268909\pi\) |
−0.948856 | + | 0.315709i | \(0.897758\pi\) | |||||||
\(240\) | −1.92001 | − | 0.212750i | −0.123936 | − | 0.0137330i | ||||
\(241\) | −0.959730 | − | 3.58176i | −0.0618216 | − | 0.230722i | 0.928101 | − | 0.372327i | \(-0.121440\pi\) |
−0.989923 | + | 0.141606i | \(0.954773\pi\) | |||||||
\(242\) | 3.51150 | − | 13.2157i | 0.225728 | − | 0.849536i | ||||
\(243\) | −7.73215 | − | 13.5357i | −0.496018 | − | 0.868312i | ||||
\(244\) | −16.6913 | − | 14.5147i | −1.06855 | − | 0.929209i | ||||
\(245\) | 0.678569 | + | 1.37600i | 0.0433522 | + | 0.0879096i | ||||
\(246\) | 3.67641 | − | 11.3602i | 0.234399 | − | 0.724299i | ||||
\(247\) | −0.540201 | + | 0.0711188i | −0.0343722 | + | 0.00452518i | ||||
\(248\) | 3.21226 | + | 23.2697i | 0.203979 | + | 1.47762i | ||||
\(249\) | 0.0234308 | + | 1.92496i | 0.00148486 | + | 0.121989i | ||||
\(250\) | −2.16687 | + | 3.25769i | −0.137045 | + | 0.206035i | ||||
\(251\) | 9.33957 | − | 1.85776i | 0.589508 | − | 0.117261i | 0.108682 | − | 0.994077i | \(-0.465337\pi\) |
0.480826 | + | 0.876816i | \(0.340337\pi\) | |||||||
\(252\) | 3.85112 | + | 6.25146i | 0.242598 | + | 0.393805i | ||||
\(253\) | 6.27910 | − | 4.19556i | 0.394763 | − | 0.263772i | ||||
\(254\) | −7.38439 | + | 3.07683i | −0.463338 | + | 0.193058i | ||||
\(255\) | 1.43474 | − | 1.12892i | 0.0898466 | − | 0.0706956i | ||||
\(256\) | −15.9978 | + | 0.267871i | −0.999860 | + | 0.0167419i | ||||
\(257\) | 1.76552 | + | 3.05797i | 0.110130 | + | 0.190751i | 0.915823 | − | 0.401583i | \(-0.131540\pi\) |
−0.805693 | + | 0.592334i | \(0.798207\pi\) | |||||||
\(258\) | 14.1786 | − | 0.202262i | 0.882721 | − | 0.0125923i | ||||
\(259\) | 0.141548 | + | 2.15960i | 0.00879535 | + | 0.134191i | ||||
\(260\) | 0.0219699 | + | 0.0806409i | 0.00136251 | + | 0.00500114i | ||||
\(261\) | 0.619092 | − | 15.0521i | 0.0383208 | − | 0.931700i | ||||
\(262\) | 19.3936 | + | 1.23037i | 1.19814 | + | 0.0760122i | ||||
\(263\) | 10.4230 | + | 1.37221i | 0.642707 | + | 0.0846140i | 0.444833 | − | 0.895614i | \(-0.353263\pi\) |
0.197874 | + | 0.980227i | \(0.436596\pi\) | |||||||
\(264\) | −4.06932 | − | 3.92187i | −0.250449 | − | 0.241374i | ||||
\(265\) | 0.237877 | − | 0.0313171i | 0.0146127 | − | 0.00192379i | ||||
\(266\) | −0.424620 | − | 6.27713i | −0.0260351 | − | 0.384875i | ||||
\(267\) | −27.5625 | − | 13.1777i | −1.68680 | − | 0.806464i | ||||
\(268\) | 2.41621 | − | 0.831489i | 0.147594 | − | 0.0507913i | ||||
\(269\) | −4.64989 | − | 0.924921i | −0.283509 | − | 0.0563934i | 0.0512874 | − | 0.998684i | \(-0.483668\pi\) |
−0.334796 | + | 0.942290i | \(0.608668\pi\) | |||||||
\(270\) | 2.01957 | − | 0.345649i | 0.122907 | − | 0.0210355i | ||||
\(271\) | −4.42909 | + | 4.42909i | −0.269048 | + | 0.269048i | −0.828717 | − | 0.559668i | \(-0.810928\pi\) |
0.559668 | + | 0.828717i | \(0.310928\pi\) | |||||||
\(272\) | 10.6023 | − | 10.7813i | 0.642856 | − | 0.653711i | ||||
\(273\) | 0.190310 | − | 0.254369i | 0.0115181 | − | 0.0153951i | ||||
\(274\) | −15.3649 | − | 8.82813i | −0.928230 | − | 0.533327i | ||||
\(275\) | −5.37708 | + | 1.82527i | −0.324250 | + | 0.110068i | ||||
\(276\) | 1.85303 | + | 22.6007i | 0.111539 | + | 1.36040i | ||||
\(277\) | 22.8469 | − | 11.2668i | 1.37274 | − | 0.676958i | 0.401673 | − | 0.915783i | \(-0.368429\pi\) |
0.971063 | + | 0.238825i | \(0.0767623\pi\) | |||||||
\(278\) | −9.75919 | + | 3.33559i | −0.585317 | + | 0.200055i | ||||
\(279\) | −10.0921 | − | 22.7798i | −0.604199 | − | 1.36379i | ||||
\(280\) | −0.945346 | + | 0.194219i | −0.0564952 | + | 0.0116068i | ||||
\(281\) | 4.14926 | − | 31.5167i | 0.247524 | − | 1.88013i | −0.191261 | − | 0.981539i | \(-0.561258\pi\) |
0.438785 | − | 0.898592i | \(-0.355409\pi\) | |||||||
\(282\) | −19.0264 | − | 3.50323i | −1.13300 | − | 0.208614i | ||||
\(283\) | 3.99967 | − | 3.50762i | 0.237756 | − | 0.208506i | −0.532174 | − | 0.846635i | \(-0.678625\pi\) |
0.769930 | + | 0.638129i | \(0.220291\pi\) | |||||||
\(284\) | −6.93535 | − | 2.83877i | −0.411538 | − | 0.168450i | ||||
\(285\) | −1.66923 | − | 0.544061i | −0.0988766 | − | 0.0322274i | ||||
\(286\) | −0.0931020 | + | 0.226105i | −0.00550524 | + | 0.0133699i | ||||
\(287\) | − | 5.96526i | − | 0.352118i | ||||||
\(288\) | 16.2295 | − | 4.96010i | 0.956334 | − | 0.292277i | ||||
\(289\) | − | 2.70977i | − | 0.159398i | ||||||
\(290\) | 1.83097 | + | 0.753925i | 0.107518 | + | 0.0442720i | ||||
\(291\) | 3.04481 | + | 14.3897i | 0.178490 | + | 0.843538i | ||||
\(292\) | 3.96190 | + | 9.45276i | 0.231852 | + | 0.553181i | ||||
\(293\) | 13.5678 | − | 11.8987i | 0.792641 | − | 0.695128i | −0.163979 | − | 0.986464i | \(-0.552433\pi\) |
0.956621 | + | 0.291336i | \(0.0940997\pi\) | |||||||
\(294\) | −10.2592 | − | 8.74134i | −0.598327 | − | 0.509806i | ||||
\(295\) | 0.312446 | − | 2.37326i | 0.0181913 | − | 0.138177i | ||||
\(296\) | 4.91209 | + | 0.945054i | 0.285509 | + | 0.0549301i | ||||
\(297\) | 5.29727 | + | 2.80569i | 0.307379 | + | 0.162803i | ||||
\(298\) | 4.25496 | + | 12.4491i | 0.246483 | + | 0.721155i | ||||
\(299\) | 0.879949 | − | 0.433943i | 0.0508888 | − | 0.0250956i | ||||
\(300\) | 3.05254 | − | 16.7757i | 0.176238 | − | 0.968548i | ||||
\(301\) | 6.70827 | − | 2.27715i | 0.386659 | − | 0.131253i | ||||
\(302\) | 1.71444 | − | 2.98391i | 0.0986551 | − | 0.171704i | ||||
\(303\) | −2.80202 | − | 6.53844i | −0.160972 | − | 0.375624i | ||||
\(304\) | −14.2852 | − | 2.71740i | −0.819315 | − | 0.155853i | ||||
\(305\) | −2.18054 | + | 2.18054i | −0.124857 | + | 0.124857i | ||||
\(306\) | −7.64916 | + | 14.0966i | −0.437274 | + | 0.805850i | ||||
\(307\) | −30.4517 | − | 6.05722i | −1.73797 | − | 0.345704i | −0.778529 | − | 0.627609i | \(-0.784034\pi\) |
−0.959442 | + | 0.281905i | \(0.909034\pi\) | |||||||
\(308\) | −2.53751 | − | 1.23819i | −0.144588 | − | 0.0705521i | ||||
\(309\) | 0.0670829 | + | 0.862496i | 0.00381621 | + | 0.0490657i | ||||
\(310\) | 3.26738 | − | 0.221024i | 0.185575 | − | 0.0125533i | ||||
\(311\) | 19.2185 | − | 2.53016i | 1.08978 | − | 0.143472i | 0.435844 | − | 0.900022i | \(-0.356450\pi\) |
0.653936 | + | 0.756550i | \(0.273117\pi\) | |||||||
\(312\) | −0.457656 | − | 0.574177i | −0.0259097 | − | 0.0325064i | ||||
\(313\) | 15.6318 | + | 2.05797i | 0.883564 | + | 0.116323i | 0.558634 | − | 0.829415i | \(-0.311326\pi\) |
0.324930 | + | 0.945738i | \(0.394659\pi\) | |||||||
\(314\) | −0.992649 | + | 15.6466i | −0.0560184 | + | 0.882987i | ||||
\(315\) | 0.906777 | − | 0.474954i | 0.0510911 | − | 0.0267606i | ||||
\(316\) | −0.485625 | − | 0.277672i | −0.0273185 | − | 0.0156203i | ||||
\(317\) | −2.20053 | − | 33.5737i | −0.123594 | − | 1.88569i | −0.388554 | − | 0.921426i | \(-0.627025\pi\) |
0.264960 | − | 0.964259i | \(-0.414641\pi\) | |||||||
\(318\) | −1.81018 | + | 1.07982i | −0.101510 | + | 0.0605535i | ||||
\(319\) | 2.89652 | + | 5.01692i | 0.162174 | + | 0.280894i | ||||
\(320\) | −0.117928 | + | 2.22748i | −0.00659237 | + | 0.124520i | ||||
\(321\) | 2.61849 | + | 18.1770i | 0.146150 | + | 1.01454i | ||||
\(322\) | 4.35732 | + | 10.4575i | 0.242824 | + | 0.582776i | ||||
\(323\) | 11.4265 | − | 7.63493i | 0.635786 | − | 0.424819i | ||||
\(324\) | −15.0911 | + | 9.81123i | −0.838392 | + | 0.545068i | ||||
\(325\) | −0.723567 | + | 0.143926i | −0.0401363 | + | 0.00798360i | ||||
\(326\) | 7.95877 | + | 5.29382i | 0.440795 | + | 0.293197i | ||||
\(327\) | 25.0234 | − | 14.8563i | 1.38380 | − | 0.821553i | ||||
\(328\) | −13.3398 | − | 3.48476i | −0.736566 | − | 0.192414i | ||||
\(329\) | −9.58252 | + | 1.26156i | −0.528301 | + | 0.0695522i | ||||
\(330\) | −0.584906 | + | 0.527897i | −0.0321980 | + | 0.0290598i | ||||
\(331\) | −11.4959 | − | 23.3114i | −0.631872 | − | 1.28131i | −0.943584 | − | 0.331132i | \(-0.892569\pi\) |
0.311713 | − | 0.950176i | \(-0.399097\pi\) | |||||||
\(332\) | 2.21752 | − | 0.154669i | 0.121702 | − | 0.00848854i | ||||
\(333\) | −5.28423 | + | 0.475766i | −0.289574 | + | 0.0260718i | ||||
\(334\) | 4.63266 | + | 1.23093i | 0.253488 | + | 0.0673536i | ||||
\(335\) | −0.0922014 | − | 0.344100i | −0.00503750 | − | 0.0188002i | ||||
\(336\) | 6.95125 | − | 4.85413i | 0.379222 | − | 0.264815i | ||||
\(337\) | −6.35623 | + | 23.7218i | −0.346246 | + | 1.29221i | 0.544904 | + | 0.838499i | \(0.316566\pi\) |
−0.891150 | + | 0.453709i | \(0.850100\pi\) | |||||||
\(338\) | 9.14322 | − | 15.9133i | 0.497326 | − | 0.865572i | ||||
\(339\) | −1.82570 | − | 3.59128i | −0.0991582 | − | 0.195052i | ||||
\(340\) | −1.39656 | − | 1.57909i | −0.0757390 | − | 0.0856381i | ||||
\(341\) | 7.96627 | + | 5.32289i | 0.431398 | + | 0.288251i | ||||
\(342\) | 15.3584 | − | 1.41520i | 0.830489 | − | 0.0765255i | ||||
\(343\) | −14.1352 | − | 5.85498i | −0.763228 | − | 0.316139i | ||||
\(344\) | −1.17345 | − | 16.3316i | −0.0632683 | − | 0.880541i | ||||
\(345\) | 3.16116 | − | 0.0384780i | 0.170191 | − | 0.00207159i | ||||
\(346\) | 4.72179 | + | 1.59182i | 0.253845 | + | 0.0855768i | ||||
\(347\) | 17.5074 | − | 15.3536i | 0.939847 | − | 0.824223i | −0.0447619 | − | 0.998998i | \(-0.514253\pi\) |
0.984609 | + | 0.174774i | \(0.0559196\pi\) | |||||||
\(348\) | −17.3930 | + | 0.284526i | −0.932363 | + | 0.0152522i | ||||
\(349\) | −16.6685 | + | 1.09251i | −0.892244 | + | 0.0584808i | −0.504625 | − | 0.863339i | \(-0.668369\pi\) |
−0.387619 | + | 0.921820i | \(0.626702\pi\) | |||||||
\(350\) | −1.12958 | − | 8.44341i | −0.0603785 | − | 0.451319i | ||||
\(351\) | 0.634754 | + | 0.451228i | 0.0338807 | + | 0.0240848i | ||||
\(352\) | −4.25124 | + | 4.95118i | −0.226592 | + | 0.263899i | ||||
\(353\) | 7.68505 | + | 4.43696i | 0.409034 | + | 0.236156i | 0.690374 | − | 0.723452i | \(-0.257446\pi\) |
−0.281341 | + | 0.959608i | \(0.590779\pi\) | |||||||
\(354\) | 5.73191 | + | 20.2328i | 0.304648 | + | 1.07536i | ||||
\(355\) | −0.462076 | + | 0.936996i | −0.0245244 | + | 0.0497306i | ||||
\(356\) | −13.3634 | + | 32.6478i | −0.708256 | + | 1.73033i | ||||
\(357\) | −1.46741 | + | 7.87704i | −0.0776635 | + | 0.416897i | ||||
\(358\) | 10.3019 | − | 2.07159i | 0.544471 | − | 0.109487i | ||||
\(359\) | 2.90296 | − | 1.20245i | 0.153213 | − | 0.0634627i | −0.304759 | − | 0.952429i | \(-0.598576\pi\) |
0.457972 | + | 0.888967i | \(0.348576\pi\) | |||||||
\(360\) | −0.532395 | − | 2.30523i | −0.0280597 | − | 0.121496i | ||||
\(361\) | 5.34392 | + | 2.21352i | 0.281259 | + | 0.116501i | ||||
\(362\) | 3.51951 | − | 17.8893i | 0.184981 | − | 0.940243i | ||||
\(363\) | 16.6970 | − | 1.29866i | 0.876367 | − | 0.0681617i | ||||
\(364\) | −0.305856 | − | 0.202520i | −0.0160312 | − | 0.0106149i | ||||
\(365\) | 1.35307 | − | 0.459306i | 0.0708230 | − | 0.0240412i | ||||
\(366\) | 10.0091 | − | 25.1740i | 0.523187 | − | 1.31587i | ||||
\(367\) | −6.37382 | + | 1.70786i | −0.332711 | + | 0.0891496i | −0.421307 | − | 0.906918i | \(-0.638429\pi\) |
0.0885963 | + | 0.996068i | \(0.471762\pi\) | |||||||
\(368\) | 25.9311 | − | 3.63498i | 1.35175 | − | 0.189486i | ||||
\(369\) | 14.6194 | − | 0.355951i | 0.761058 | − | 0.0185301i | ||||
\(370\) | 0.179082 | − | 0.673981i | 0.00931001 | − | 0.0350386i | ||||
\(371\) | −0.694313 | + | 0.791712i | −0.0360469 | + | 0.0411036i | ||||
\(372\) | −25.5911 | + | 13.1448i | −1.32684 | + | 0.681528i | ||||
\(373\) | 17.7638 | + | 1.16430i | 0.919774 | + | 0.0602852i | 0.517930 | − | 0.855423i | \(-0.326703\pi\) |
0.401844 | + | 0.915708i | \(0.368369\pi\) | |||||||
\(374\) | −0.416243 | − | 6.15330i | −0.0215234 | − | 0.318179i | ||||
\(375\) | −4.64333 | − | 1.18380i | −0.239780 | − | 0.0611309i | ||||
\(376\) | −2.77672 | + | 22.1658i | −0.143199 | + | 1.14312i | ||||
\(377\) | 0.288020 | + | 0.695341i | 0.0148338 | + | 0.0358119i | ||||
\(378\) | −5.66389 | + | 6.98485i | −0.291319 | + | 0.359262i | ||||
\(379\) | −26.7172 | + | 5.31438i | −1.37237 | + | 0.272981i | −0.825579 | − | 0.564287i | \(-0.809151\pi\) |
−0.546792 | + | 0.837269i | \(0.684151\pi\) | |||||||
\(380\) | −0.516492 | + | 1.96036i | −0.0264955 | + | 0.100564i | ||||
\(381\) | −6.54922 | − | 7.28710i | −0.335527 | − | 0.373329i | ||||
\(382\) | −3.47332 | + | 26.8161i | −0.177711 | + | 1.37203i | ||||
\(383\) | 15.0780 | + | 26.1159i | 0.770452 | + | 1.33446i | 0.937316 | + | 0.348482i | \(0.113303\pi\) |
−0.166864 | + | 0.985980i | \(0.553364\pi\) | |||||||
\(384\) | −6.79427 | − | 18.3804i | −0.346719 | − | 0.937969i | ||||
\(385\) | −0.196815 | + | 0.340893i | −0.0100306 | + | 0.0173735i | ||||
\(386\) | 8.75557 | + | 6.68932i | 0.445647 | + | 0.340477i | ||||
\(387\) | 5.98105 | + | 16.3045i | 0.304034 | + | 0.828806i | ||||
\(388\) | 16.3864 | − | 4.46433i | 0.831895 | − | 0.226642i | ||||
\(389\) | −7.32907 | + | 21.5907i | −0.371598 | + | 1.09469i | 0.586916 | + | 0.809648i | \(0.300342\pi\) |
−0.958514 | + | 0.285045i | \(0.907991\pi\) | |||||||
\(390\) | −0.0842930 | + | 0.0580788i | −0.00426834 | + | 0.00294094i | ||||
\(391\) | −15.0644 | + | 19.6323i | −0.761841 | + | 0.992851i | ||||
\(392\) | −9.39661 | + | 12.4064i | −0.474601 | + | 0.626619i | ||||
\(393\) | 6.43922 | + | 22.9123i | 0.324816 | + | 1.15577i | ||||
\(394\) | −24.7542 | + | 16.6153i | −1.24710 | + | 0.837066i | ||||
\(395\) | −0.0433279 | + | 0.0648447i | −0.00218006 | + | 0.00326269i | ||||
\(396\) | 2.88309 | − | 6.29273i | 0.144881 | − | 0.316222i | ||||
\(397\) | 27.2521 | + | 5.42078i | 1.36774 | + | 0.272061i | 0.823714 | − | 0.567005i | \(-0.191898\pi\) |
0.544029 | + | 0.839066i | \(0.316898\pi\) | |||||||
\(398\) | 20.0957 | + | 20.0117i | 1.00730 | + | 1.00310i | ||||
\(399\) | 7.08249 | − | 3.03517i | 0.354568 | − | 0.151949i | ||||
\(400\) | −19.5414 | − | 2.40643i | −0.977071 | − | 0.120322i | ||||
\(401\) | −1.30726 | + | 4.87878i | −0.0652817 | + | 0.243635i | −0.990854 | − | 0.134935i | \(-0.956917\pi\) |
0.925573 | + | 0.378570i | \(0.123584\pi\) | |||||||
\(402\) | 1.94038 | + | 2.45543i | 0.0967774 | + | 0.122466i | ||||
\(403\) | 0.935858 | + | 0.820726i | 0.0466184 | + | 0.0408833i | ||||
\(404\) | −7.35165 | + | 3.66377i | −0.365758 | + | 0.182279i | ||||
\(405\) | 1.21811 | + | 2.19396i | 0.0605283 | + | 0.109019i | ||||
\(406\) | −8.22349 | + | 2.81071i | −0.408125 | + | 0.139493i | ||||
\(407\) | 1.61862 | − | 1.24201i | 0.0802321 | − | 0.0615642i | ||||
\(408\) | 16.7578 | + | 7.88307i | 0.829633 | + | 0.390270i | ||||
\(409\) | 17.6562 | + | 13.5480i | 0.873041 | + | 0.669908i | 0.944847 | − | 0.327511i | \(-0.106210\pi\) |
−0.0718068 | + | 0.997419i | \(0.522876\pi\) | |||||||
\(410\) | −0.614042 | + | 1.82142i | −0.0303254 | + | 0.0899537i | ||||
\(411\) | 3.97468 | − | 21.3361i | 0.196056 | − | 1.05243i | ||||
\(412\) | 0.989832 | − | 0.134531i | 0.0487655 | − | 0.00662788i | ||||
\(413\) | 5.83680 | + | 8.73539i | 0.287210 | + | 0.429840i | ||||
\(414\) | −25.3690 | + | 11.3028i | −1.24682 | + | 0.555501i | ||||
\(415\) | − | 0.309902i | − | 0.0152125i | ||||||
\(416\) | −0.631558 | + | 0.565662i | −0.0309647 | + | 0.0277338i | ||||
\(417\) | −7.81090 | − | 9.92682i | −0.382501 | − | 0.486118i | ||||
\(418\) | −4.69779 | + | 3.62039i | −0.229777 | + | 0.177079i | ||||
\(419\) | −6.96248 | + | 14.1185i | −0.340139 | + | 0.689734i | −0.997987 | − | 0.0634167i | \(-0.979800\pi\) |
0.657848 | + | 0.753151i | \(0.271467\pi\) | |||||||
\(420\) | −0.607659 | − | 1.01383i | −0.0296507 | − | 0.0494698i | ||||
\(421\) | −23.3433 | − | 7.92397i | −1.13768 | − | 0.386191i | −0.311863 | − | 0.950127i | \(-0.600953\pi\) |
−0.825818 | + | 0.563936i | \(0.809286\pi\) | |||||||
\(422\) | 19.3328 | − | 17.0261i | 0.941105 | − | 0.828818i | ||||
\(423\) | −3.66359 | − | 23.4092i | −0.178130 | − | 1.13820i | ||||
\(424\) | 1.36486 | + | 2.01515i | 0.0662835 | + | 0.0978645i | ||||
\(425\) | 14.7622 | − | 11.3274i | 0.716071 | − | 0.549461i | ||||
\(426\) | 0.469578 | − | 9.16603i | 0.0227511 | − | 0.444096i | ||||
\(427\) | 0.885189 | − | 13.5054i | 0.0428373 | − | 0.653571i | ||||
\(428\) | 20.7807 | − | 4.22403i | 1.00447 | − | 0.204176i | ||||
\(429\) | −0.299054 | − | 0.0159482i | −0.0144385 | − | 0.000769985i | ||||
\(430\) | −2.28270 | + | 0.00477733i | −0.110081 | + | 0.000230383i | ||||
\(431\) | −28.3800 | − | 28.3800i | −1.36702 | − | 1.36702i | −0.864659 | − | 0.502359i | \(-0.832466\pi\) |
−0.502359 | − | 0.864659i | \(-0.667534\pi\) | |||||||
\(432\) | 12.3111 | + | 16.7462i | 0.592319 | + | 0.805703i | ||||
\(433\) | −22.5928 | + | 22.5928i | −1.08574 | + | 1.08574i | −0.0897813 | + | 0.995962i | \(0.528617\pi\) |
−0.995962 | + | 0.0897813i | \(0.971383\pi\) | |||||||
\(434\) | −10.1420 | + | 10.1846i | −0.486832 | + | 0.488874i | ||||
\(435\) | −0.129146 | + | 2.42169i | −0.00619207 | + | 0.116111i | ||||
\(436\) | −18.7857 | − | 27.8616i | −0.899672 | − | 1.33433i | ||||
\(437\) | 23.7466 | + | 1.55643i | 1.13595 | + | 0.0744544i | ||||
\(438\) | −9.31880 | + | 8.41052i | −0.445269 | + | 0.401870i | ||||
\(439\) | 17.8864 | + | 23.3100i | 0.853670 | + | 1.11252i | 0.992504 | + | 0.122209i | \(0.0389977\pi\) |
−0.138835 | + | 0.990316i | \(0.544336\pi\) | |||||||
\(440\) | 0.647346 | + | 0.639268i | 0.0308610 | + | 0.0304759i | ||||
\(441\) | 5.94400 | − | 15.4000i | 0.283048 | − | 0.733335i | ||||
\(442\) | 0.0507317 | − | 0.799656i | 0.00241306 | − | 0.0380357i | ||||
\(443\) | 2.74596 | − | 8.08934i | 0.130465 | − | 0.384336i | −0.861994 | − | 0.506919i | \(-0.830784\pi\) |
0.992458 | + | 0.122583i | \(0.0391177\pi\) | |||||||
\(444\) | 0.898896 | + | 6.06008i | 0.0426597 | + | 0.287599i | ||||
\(445\) | 4.41086 | + | 2.17520i | 0.209095 | + | 0.103114i | ||||
\(446\) | 31.3863 | + | 4.06528i | 1.48618 | + | 0.192497i | ||||
\(447\) | −12.6629 | + | 9.96377i | −0.598934 | + | 0.471270i | ||||
\(448\) | −6.05681 | − | 7.69145i | −0.286157 | − | 0.363387i | ||||
\(449\) | 21.9536 | 1.03605 | 0.518026 | − | 0.855365i | \(-0.326667\pi\) | ||||
0.518026 | + | 0.855365i | \(0.326667\pi\) | |||||||
\(450\) | 20.6254 | − | 3.27216i | 0.972292 | − | 0.154251i | ||||
\(451\) | −4.67573 | + | 3.12422i | −0.220171 | + | 0.147114i | ||||
\(452\) | −4.01893 | + | 2.34282i | −0.189035 | + | 0.110197i | ||||
\(453\) | 4.14351 | + | 0.771892i | 0.194679 | + | 0.0362666i | ||||
\(454\) | 25.6836 | − | 12.7326i | 1.20539 | − | 0.597572i | ||||
\(455\) | −0.0311323 | + | 0.0405724i | −0.00145950 | + | 0.00190206i | ||||
\(456\) | −2.64997 | − | 17.6113i | −0.124096 | − | 0.824723i | ||||
\(457\) | −11.1374 | − | 14.5145i | −0.520984 | − | 0.678960i | 0.456559 | − | 0.889693i | \(-0.349082\pi\) |
−0.977544 | + | 0.210733i | \(0.932415\pi\) | |||||||
\(458\) | 11.2693 | − | 22.9729i | 0.526579 | − | 1.07345i | ||||
\(459\) | −19.3923 | − | 3.12624i | −0.905157 | − | 0.145921i | ||||
\(460\) | −0.253997 | − | 3.64162i | −0.0118427 | − | 0.169791i | ||||
\(461\) | −2.17937 | + | 2.48509i | −0.101503 | + | 0.115742i | −0.800361 | − | 0.599519i | \(-0.795359\pi\) |
0.698858 | + | 0.715261i | \(0.253692\pi\) | |||||||
\(462\) | 0.402417 | − | 3.43455i | 0.0187221 | − | 0.159790i | ||||
\(463\) | −10.4867 | − | 2.80990i | −0.487358 | − | 0.130587i | 0.00676876 | − | 0.999977i | \(-0.497845\pi\) |
−0.494127 | + | 0.869390i | \(0.664512\pi\) | |||||||
\(464\) | 1.48146 | + | 20.0317i | 0.0687749 | + | 0.929948i | ||||
\(465\) | 1.57988 | + | 3.68659i | 0.0732650 | + | 0.170962i | ||||
\(466\) | 23.0035 | − | 0.0481428i | 1.06562 | − | 0.00223017i | ||||
\(467\) | 2.63142 | − | 13.2290i | 0.121767 | − | 0.612166i | −0.870917 | − | 0.491430i | \(-0.836474\pi\) |
0.992685 | − | 0.120736i | \(-0.0385256\pi\) | |||||||
\(468\) | 0.478078 | − | 0.761666i | 0.0220992 | − | 0.0352080i | ||||
\(469\) | 1.30001 | + | 0.868637i | 0.0600288 | + | 0.0401100i | ||||
\(470\) | 3.05578 | + | 0.601186i | 0.140952 | + | 0.0277306i | ||||
\(471\) | −18.4855 | + | 5.19511i | −0.851765 | + | 0.239378i | ||||
\(472\) | 22.9442 | − | 7.94950i | 1.05609 | − | 0.365906i | ||||
\(473\) | −5.29826 | − | 4.06550i | −0.243614 | − | 0.186932i | ||||
\(474\) | 0.124063 | − | 0.673801i | 0.00569842 | − | 0.0309487i | ||||
\(475\) | −16.9445 | − | 5.75188i | −0.777467 | − | 0.263914i | ||||
\(476\) | 9.17792 | + | 1.16924i | 0.420669 | + | 0.0535919i | ||||
\(477\) | −1.98173 | − | 1.65436i | −0.0907372 | − | 0.0757478i | ||||
\(478\) | 3.19208 | + | 23.8603i | 0.146002 | + | 1.09134i | ||||
\(479\) | −30.7086 | − | 17.7296i | −1.40311 | − | 0.810088i | −0.408402 | − | 0.912802i | \(-0.633914\pi\) |
−0.994711 | + | 0.102715i | \(0.967247\pi\) | |||||||
\(480\) | −2.62215 | + | 0.766618i | −0.119684 | + | 0.0349912i | ||||
\(481\) | 0.229554 | − | 0.132533i | 0.0104668 | − | 0.00604299i | ||||
\(482\) | −3.20108 | − | 4.15370i | −0.145805 | − | 0.189196i | ||||
\(483\) | −10.3198 | + | 9.27481i | −0.469566 | + | 0.422018i | ||||
\(484\) | −2.60438 | − | 19.1621i | −0.118381 | − | 0.871006i | ||||
\(485\) | −0.461923 | − | 2.32224i | −0.0209748 | − | 0.105448i | ||||
\(486\) | −17.4562 | − | 13.4641i | −0.791829 | − | 0.610743i | ||||
\(487\) | −19.8226 | + | 8.21078i | −0.898247 | + | 0.372066i | −0.783546 | − | 0.621334i | \(-0.786591\pi\) |
−0.114701 | + | 0.993400i | \(0.536591\pi\) | |||||||
\(488\) | −29.6842 | − | 9.86902i | −1.34374 | − | 0.446750i | ||||
\(489\) | −2.89209 | + | 11.3440i | −0.130785 | + | 0.512992i | ||||
\(490\) | 1.63427 | + | 1.42718i | 0.0738288 | + | 0.0644733i | ||||
\(491\) | 0.359659 | − | 5.48733i | 0.0162312 | − | 0.247640i | −0.982031 | − | 0.188718i | \(-0.939567\pi\) |
0.998263 | − | 0.0589223i | \(-0.0187664\pi\) | |||||||
\(492\) | −1.37986 | − | 16.8296i | −0.0622089 | − | 0.758737i | ||||
\(493\) | −14.2721 | − | 12.5163i | −0.642782 | − | 0.563704i | ||||
\(494\) | −0.666510 | + | 0.386672i | −0.0299877 | + | 0.0173972i | ||||
\(495\) | −0.847194 | − | 0.462006i | −0.0380785 | − | 0.0207656i | ||||
\(496\) | 16.8504 | + | 28.6296i | 0.756607 | + | 1.28551i | ||||
\(497\) | −1.18676 | − | 4.42904i | −0.0532333 | − | 0.198669i | ||||
\(498\) | 1.07763 | + | 2.50015i | 0.0482896 | + | 0.112034i | ||||
\(499\) | 8.66746 | + | 25.5335i | 0.388009 | + | 1.14304i | 0.949017 | + | 0.315226i | \(0.102080\pi\) |
−0.561008 | + | 0.827810i | \(0.689586\pi\) | |||||||
\(500\) | −1.05674 | + | 5.43131i | −0.0472589 | + | 0.242895i | ||||
\(501\) | 0.455234 | + | 5.85303i | 0.0203384 | + | 0.261494i | ||||
\(502\) | 11.1816 | − | 7.50523i | 0.499061 | − | 0.334975i | ||||
\(503\) | −2.51985 | + | 6.08346i | −0.112355 | + | 0.271248i | −0.970048 | − | 0.242914i | \(-0.921897\pi\) |
0.857693 | + | 0.514162i | \(0.171897\pi\) | |||||||
\(504\) | 8.42771 | + | 6.06608i | 0.375400 | + | 0.270205i | ||||
\(505\) | 0.438225 | + | 1.05797i | 0.0195008 | + | 0.0470790i | ||||
\(506\) | 5.91482 | − | 8.89238i | 0.262946 | − | 0.395315i | ||||
\(507\) | 22.0976 | + | 4.11654i | 0.981388 | + | 0.182822i | ||||
\(508\) | −7.96620 | + | 8.03317i | −0.353443 | + | 0.356414i | ||||
\(509\) | −2.28021 | − | 1.12448i | −0.101069 | − | 0.0498415i | 0.391052 | − | 0.920369i | \(-0.372111\pi\) |
−0.492120 | + | 0.870527i | \(0.663778\pi\) | |||||||
\(510\) | 1.25889 | − | 2.25412i | 0.0557446 | − | 0.0998139i | ||||
\(511\) | −3.13568 | + | 5.43115i | −0.138714 | + | 0.240260i | ||||
\(512\) | −20.7382 | + | 9.05134i | −0.916508 | + | 0.400016i | ||||
\(513\) | 7.86112 | + | 17.1764i | 0.347077 | + | 0.758357i | ||||
\(514\) | 3.96807 | + | 3.03164i | 0.175024 | + | 0.133720i | ||||
\(515\) | −0.00910830 | − | 0.138966i | −0.000401359 | − | 0.00612356i | ||||
\(516\) | 18.3991 | − | 7.97620i | 0.809976 | − | 0.351133i | ||||
\(517\) | 6.00756 | + | 6.85031i | 0.264212 | + | 0.301276i | ||||
\(518\) | 1.35945 | + | 2.74221i | 0.0597309 | + | 0.120486i | ||||
\(519\) | 0.0742781 | + | 6.10232i | 0.00326045 | + | 0.267862i | ||||
\(520\) | 0.0725430 | + | 0.0933209i | 0.00318122 | + | 0.00409239i | ||||
\(521\) | 0.724828 | − | 1.74989i | 0.0317553 | − | 0.0766640i | −0.907206 | − | 0.420686i | \(-0.861789\pi\) |
0.938962 | + | 0.344022i | \(0.111789\pi\) | |||||||
\(522\) | −7.37908 | − | 19.9861i | −0.322974 | − | 0.874769i | ||||
\(523\) | −22.0739 | + | 33.0359i | −0.965223 | + | 1.44456i | −0.0707198 | + | 0.997496i | \(0.522530\pi\) |
−0.894503 | + | 0.447062i | \(0.852470\pi\) | |||||||
\(524\) | 25.9861 | − | 8.94258i | 1.13521 | − | 0.390658i | ||||
\(525\) | 9.30036 | − | 4.72801i | 0.405901 | − | 0.206347i | ||||
\(526\) | 14.3528 | − | 3.87803i | 0.625812 | − | 0.169090i | ||||
\(527\) | −30.3255 | − | 8.12568i | −1.32100 | − | 0.353960i | ||||
\(528\) | −7.44542 | − | 2.90629i | −0.324020 | − | 0.126480i | ||||
\(529\) | −19.1756 | + | 5.13810i | −0.833724 | + | 0.223396i | ||||
\(530\) | 0.293497 | − | 0.170270i | 0.0127487 | − | 0.00739607i | ||||
\(531\) | −21.0601 | + | 14.8259i | −0.913931 | + | 0.643388i | ||||
\(532\) | −3.96862 | − | 7.96337i | −0.172062 | − | 0.345256i | ||||
\(533\) | −0.655254 | + | 0.323135i | −0.0283822 | + | 0.0139966i | ||||
\(534\) | −43.1486 | − | 2.21052i | −1.86722 | − | 0.0956584i | ||||
\(535\) | −0.385879 | − | 2.93104i | −0.0166830 | − | 0.126720i | ||||
\(536\) | 2.70192 | − | 2.39970i | 0.116705 | − | 0.103651i | ||||
\(537\) | 6.57004 | + | 11.0664i | 0.283518 | + | 0.477549i | ||||
\(538\) | −6.57319 | + | 1.32180i | −0.283390 | + | 0.0569867i | ||||
\(539\) | 1.23839 | + | 6.22579i | 0.0533411 | + | 0.268164i | ||||
\(540\) | 2.44840 | − | 1.54973i | 0.105362 | − | 0.0666896i | ||||
\(541\) | 4.70252 | + | 7.03781i | 0.202177 | + | 0.302579i | 0.918678 | − | 0.395006i | \(-0.129258\pi\) |
−0.716501 | + | 0.697586i | \(0.754258\pi\) | |||||||
\(542\) | −3.37274 | + | 8.19097i | −0.144872 | + | 0.351832i | ||||
\(543\) | 22.1017 | − | 3.18387i | 0.948475 | − | 0.136633i | ||||
\(544\) | 7.97623 | − | 19.8410i | 0.341978 | − | 0.850678i | ||||
\(545\) | −4.05708 | + | 2.34235i | −0.173786 | + | 0.100335i | ||||
\(546\) | 0.110078 | − | 0.435576i | 0.00471089 | − | 0.0186409i | ||||
\(547\) | −15.1649 | + | 0.993962i | −0.648405 | + | 0.0424987i | −0.386058 | − | 0.922475i | \(-0.626163\pi\) |
−0.262348 | + | 0.964973i | \(0.584497\pi\) | |||||||
\(548\) | −24.8597 | − | 3.16704i | −1.06195 | − | 0.135289i | ||||
\(549\) | 33.1513 | + | 1.36351i | 1.41486 | + | 0.0581934i | ||||
\(550\) | −6.02657 | + | 5.30752i | −0.256974 | + | 0.226313i | ||||
\(551\) | −2.38279 | + | 18.0991i | −0.101510 | + | 0.771048i | ||||
\(552\) | 14.7122 | + | 28.4956i | 0.626192 | + | 1.21286i | ||||
\(553\) | −0.0446770 | − | 0.339356i | −0.00189986 | − | 0.0144309i | ||||
\(554\) | 23.6966 | − | 27.1351i | 1.00677 | − | 1.15286i | ||||
\(555\) | 0.851525 | − | 0.0662295i | 0.0361452 | − | 0.00281129i | ||||
\(556\) | −10.9256 | + | 9.66268i | −0.463348 | + | 0.409789i | ||||
\(557\) | −3.77639 | + | 18.9852i | −0.160011 | + | 0.804428i | 0.814513 | + | 0.580145i | \(0.197004\pi\) |
−0.974524 | + | 0.224283i | \(0.927996\pi\) | |||||||
\(558\) | −25.5651 | − | 24.2480i | −1.08226 | − | 1.02650i | ||||
\(559\) | −0.613519 | − | 0.613519i | −0.0259491 | − | 0.0259491i | ||||
\(560\) | −1.12844 | + | 0.767740i | −0.0476853 | + | 0.0324430i | ||||
\(561\) | 6.94277 | − | 2.97530i | 0.293124 | − | 0.125617i | ||||
\(562\) | −11.7263 | − | 43.3997i | −0.494645 | − | 1.83071i | ||||
\(563\) | −13.2013 | − | 38.8897i | −0.556367 | − | 1.63901i | −0.752622 | − | 0.658453i | \(-0.771211\pi\) |
0.196255 | − | 0.980553i | \(-0.437122\pi\) | |||||||
\(564\) | −26.7431 | + | 5.77580i | −1.12609 | + | 0.243205i | ||||
\(565\) | 0.286842 | + | 0.581658i | 0.0120675 | + | 0.0244705i | ||||
\(566\) | 3.31339 | − | 6.75448i | 0.139272 | − | 0.283912i | ||||
\(567\) | −10.3684 | − | 3.71457i | −0.435432 | − | 0.155997i | ||||
\(568\) | −10.5977 | + | 0.0665387i | −0.444669 | + | 0.00279190i | ||||
\(569\) | −31.0275 | − | 4.08485i | −1.30074 | − | 0.171246i | −0.551852 | − | 0.833942i | \(-0.686079\pi\) |
−0.748888 | + | 0.662696i | \(0.769412\pi\) | |||||||
\(570\) | −2.47499 | + | 0.197711i | −0.103666 | + | 0.00828119i | ||||
\(571\) | −22.7884 | − | 25.9852i | −0.953664 | − | 1.08745i | −0.996090 | − | 0.0883458i | \(-0.971842\pi\) |
0.0424258 | − | 0.999100i | \(-0.486491\pi\) | |||||||
\(572\) | 0.00144744 | + | 0.345805i | 6.05204e−5 | + | 0.0144588i | ||||
\(573\) | −32.3998 | + | 6.85570i | −1.35352 | + | 0.286401i | ||||
\(574\) | −3.24468 | − | 7.78721i | −0.135430 | − | 0.325032i | ||||
\(575\) | 32.2218 | 1.34374 | ||||||||
\(576\) | 18.4885 | − | 15.3028i | 0.770355 | − | 0.637615i | ||||
\(577\) | −23.1240 | −0.962664 | −0.481332 | − | 0.876538i | \(-0.659847\pi\) | ||||
−0.481332 | + | 0.876538i | \(0.659847\pi\) | |||||||
\(578\) | −1.47392 | − | 3.53741i | −0.0613071 | − | 0.147137i | ||||
\(579\) | −4.18192 | + | 12.8305i | −0.173795 | + | 0.533218i | ||||
\(580\) | 2.80027 | − | 0.0117211i | 0.116275 | − | 0.000486693i | ||||
\(581\) | 0.896802 | + | 1.02261i | 0.0372056 | + | 0.0424249i | ||||
\(582\) | 11.8018 | + | 17.1285i | 0.489198 | + | 0.710000i | ||||
\(583\) | 0.984202 | + | 0.129573i | 0.0407615 | + | 0.00536635i | ||||
\(584\) | 10.3136 | + | 10.1849i | 0.426780 | + | 0.421454i | ||||
\(585\) | −0.101291 | − | 0.0738769i | −0.00418787 | − | 0.00305444i | ||||
\(586\) | 11.2398 | − | 22.9128i | 0.464311 | − | 0.946519i | ||||
\(587\) | 6.66071 | + | 13.5066i | 0.274917 | + | 0.557476i | 0.989917 | − | 0.141648i | \(-0.0452401\pi\) |
−0.715000 | + | 0.699124i | \(0.753573\pi\) | |||||||
\(588\) | −18.1473 | − | 5.83093i | −0.748381 | − | 0.240463i | ||||
\(589\) | 9.70487 | + | 28.5896i | 0.399882 | + | 1.17802i | ||||
\(590\) | −0.883012 | − | 3.26807i | −0.0363530 | − | 0.134544i | ||||
\(591\) | −29.2368 | − | 21.8740i | −1.20264 | − | 0.899775i | ||||
\(592\) | 6.92642 | − | 1.43813i | 0.284674 | − | 0.0591068i | ||||
\(593\) | −23.2127 | − | 23.2127i | −0.953232 | − | 0.953232i | 0.0457225 | − | 0.998954i | \(-0.485441\pi\) |
−0.998954 | + | 0.0457225i | \(0.985441\pi\) | |||||||
\(594\) | 8.44130 | + | 0.781287i | 0.346351 | + | 0.0320566i | ||||
\(595\) | 0.251639 | − | 1.26508i | 0.0103162 | − | 0.0518631i | ||||
\(596\) | 12.3260 | + | 13.9369i | 0.504891 | + | 0.570879i | ||||
\(597\) | −14.9822 | + | 31.3367i | −0.613181 | + | 1.28253i | ||||
\(598\) | 0.912675 | − | 1.04511i | 0.0373221 | − | 0.0427378i | ||||
\(599\) | −3.72011 | − | 28.2570i | −0.151999 | − | 1.15455i | −0.882049 | − | 0.471157i | \(-0.843837\pi\) |
0.730050 | − | 0.683394i | \(-0.239497\pi\) | |||||||
\(600\) | −5.13994 | − | 23.5599i | −0.209837 | − | 0.961828i | ||||
\(601\) | −2.91217 | + | 22.1201i | −0.118790 | + | 0.902299i | 0.823457 | + | 0.567379i | \(0.192043\pi\) |
−0.942247 | + | 0.334920i | \(0.891291\pi\) | |||||||
\(602\) | 7.51856 | − | 6.62148i | 0.306433 | − | 0.269872i | ||||
\(603\) | −2.05125 | + | 3.23785i | −0.0835335 | + | 0.131855i | ||||
\(604\) | 0.615046 | − | 4.82781i | 0.0250259 | − | 0.196441i | ||||
\(605\) | −2.69023 | + | 0.176327i | −0.109373 | + | 0.00716872i | ||||
\(606\) | −7.21429 | − | 7.01135i | −0.293060 | − | 0.284817i | ||||
\(607\) | 8.62308 | − | 4.97854i | 0.350000 | − | 0.202073i | −0.314685 | − | 0.949196i | \(-0.601899\pi\) |
0.664685 | + | 0.747123i | \(0.268566\pi\) | |||||||
\(608\) | −20.1264 | + | 4.22280i | −0.816234 | + | 0.171257i | ||||
\(609\) | −6.58178 | − | 8.36474i | −0.266707 | − | 0.338957i | ||||
\(610\) | −1.66048 | + | 4.03259i | −0.0672307 | + | 0.163275i | ||||
\(611\) | 0.657658 | + | 0.984254i | 0.0266060 | + | 0.0398187i | ||||
\(612\) | −2.31787 | + | 22.5627i | −0.0936943 | + | 0.912043i | ||||
\(613\) | −1.12084 | − | 5.63485i | −0.0452704 | − | 0.227590i | 0.951526 | − | 0.307568i | \(-0.0995150\pi\) |
−0.996797 | + | 0.0799780i | \(0.974515\pi\) | |||||||
\(614\) | −43.0472 | + | 8.65632i | −1.73724 | + | 0.349340i | ||||
\(615\) | −2.35396 | + | 0.0286526i | −0.0949208 | + | 0.00115539i | ||||
\(616\) | −3.98602 | − | 0.236134i | −0.160601 | − | 0.00951411i | ||||
\(617\) | −0.693398 | − | 5.26688i | −0.0279152 | − | 0.212037i | 0.971803 | − | 0.235796i | \(-0.0757698\pi\) |
−0.999718 | + | 0.0237595i | \(0.992436\pi\) | |||||||
\(618\) | 0.556709 | + | 1.08944i | 0.0223941 | + | 0.0438236i | ||||
\(619\) | −20.3253 | + | 10.0233i | −0.816942 | + | 0.402871i | −0.802226 | − | 0.597020i | \(-0.796351\pi\) |
−0.0147162 | + | 0.999892i | \(0.504684\pi\) | |||||||
\(620\) | 4.14511 | − | 2.06576i | 0.166472 | − | 0.0829628i | ||||
\(621\) | −23.3462 | − | 24.7379i | −0.936849 | − | 0.992697i | ||||
\(622\) | 23.7121 | − | 13.7564i | 0.950768 | − | 0.551583i | ||||
\(623\) | −20.8495 | + | 5.58660i | −0.835317 | + | 0.223822i | ||||
\(624\) | −0.909749 | − | 0.500614i | −0.0364191 | − | 0.0200406i | ||||
\(625\) | −23.0276 | − | 6.17022i | −0.921103 | − | 0.246809i | ||||
\(626\) | 21.5256 | − | 5.81609i | 0.860337 | − | 0.232458i | ||||
\(627\) | −6.08841 | − | 3.96181i | −0.243148 | − | 0.158220i | ||||
\(628\) | 7.21480 | + | 20.9654i | 0.287902 | + | 0.836611i | ||||
\(629\) | −3.71426 | + | 5.55878i | −0.148097 | + | 0.221643i | ||||
\(630\) | 0.925390 | − | 1.11324i | 0.0368684 | − | 0.0443525i | ||||
\(631\) | 9.50545 | − | 22.9482i | 0.378406 | − | 0.913553i | −0.613859 | − | 0.789416i | \(-0.710384\pi\) |
0.992265 | − | 0.124137i | \(-0.0396163\pi\) | |||||||
\(632\) | −0.784982 | − | 0.0983350i | −0.0312249 | − | 0.00391156i | ||||
\(633\) | 27.5140 | + | 15.4418i | 1.09358 | + | 0.613756i | ||||
\(634\) | −21.1343 | − | 42.6311i | −0.839352 | − | 1.69310i | ||||
\(635\) | 1.03994 | + | 1.18582i | 0.0412687 | + | 0.0470579i | ||||
\(636\) | −1.77571 | + | 2.39424i | −0.0704115 | + | 0.0949378i | ||||
\(637\) | 0.0539380 | + | 0.822935i | 0.00213710 | + | 0.0326059i | ||||
\(638\) | 6.51005 | + | 4.97373i | 0.257735 | + | 0.196912i | ||||
\(639\) | 10.7837 | − | 3.17275i | 0.426597 | − | 0.125512i | ||||
\(640\) | 1.05765 | + | 2.97196i | 0.0418072 | + | 0.117477i | ||||
\(641\) | −1.14869 | + | 1.98959i | −0.0453706 | + | 0.0785842i | −0.887819 | − | 0.460193i | \(-0.847780\pi\) |
0.842448 | + | 0.538777i | \(0.181114\pi\) | |||||||
\(642\) | 13.3052 | + | 22.3045i | 0.525116 | + | 0.880287i | ||||
\(643\) | 31.3483 | + | 15.4593i | 1.23626 | + | 0.609654i | 0.938596 | − | 0.345018i | \(-0.112127\pi\) |
0.297659 | + | 0.954672i | \(0.403794\pi\) | |||||||
\(644\) | 11.3763 | + | 11.2815i | 0.448290 | + | 0.444553i | ||||
\(645\) | −0.930813 | − | 2.63623i | −0.0366507 | − | 0.103801i | ||||
\(646\) | 10.7636 | − | 16.1820i | 0.423487 | − | 0.636674i | ||||
\(647\) | 5.97311 | + | 14.4204i | 0.234827 | + | 0.566923i | 0.996733 | − | 0.0807648i | \(-0.0257363\pi\) |
−0.761906 | + | 0.647687i | \(0.775736\pi\) | |||||||
\(648\) | −14.3637 | + | 21.0163i | −0.564258 | + | 0.825599i | ||||
\(649\) | 3.79009 | − | 9.15008i | 0.148774 | − | 0.359172i | ||||
\(650\) | −0.866279 | + | 0.581455i | −0.0339782 | + | 0.0228065i | ||||
\(651\) | −15.8816 | − | 7.59303i | −0.622448 | − | 0.297594i | ||||
\(652\) | 13.2691 | + | 2.58169i | 0.519656 | + | 0.101107i | ||||
\(653\) | −2.50608 | − | 7.38266i | −0.0980703 | − | 0.288906i | 0.886812 | − | 0.462130i | \(-0.152915\pi\) |
−0.984882 | + | 0.173224i | \(0.944581\pi\) | |||||||
\(654\) | 24.5855 | − | 33.0047i | 0.961369 | − | 1.29059i | ||||
\(655\) | −0.991616 | − | 3.70076i | −0.0387457 | − | 0.144601i | ||||
\(656\) | −19.3096 | + | 2.70679i | −0.753912 | + | 0.105682i | ||||
\(657\) | −13.4976 | − | 7.36073i | −0.526591 | − | 0.287169i | ||||
\(658\) | −11.8231 | + | 6.85909i | −0.460912 | + | 0.267395i | ||||
\(659\) | 32.7539 | + | 28.7244i | 1.27591 | + | 1.11894i | 0.986851 | + | 0.161630i | \(0.0516752\pi\) |
0.289058 | + | 0.957312i | \(0.406658\pi\) | |||||||
\(660\) | −0.476414 | + | 1.00728i | −0.0185444 | + | 0.0392083i | ||||
\(661\) | 1.23676 | − | 18.8693i | 0.0481044 | − | 0.733932i | −0.903880 | − | 0.427786i | \(-0.859294\pi\) |
0.951985 | − | 0.306146i | \(-0.0990396\pi\) | |||||||
\(662\) | −27.6868 | − | 24.1783i | −1.07608 | − | 0.939718i | ||||
\(663\) | 0.944743 | − | 0.265509i | 0.0366908 | − | 0.0103115i | ||||
\(664\) | 2.81069 | − | 1.40809i | 0.109076 | − | 0.0546443i | ||||
\(665\) | −1.14600 | + | 0.474689i | −0.0444400 | + | 0.0184077i | ||||
\(666\) | −6.63940 | + | 3.49533i | −0.257271 | + | 0.135441i | ||||
\(667\) | −6.41304 | − | 32.2405i | −0.248314 | − | 1.24836i | ||||
\(668\) | 6.71715 | − | 0.912948i | 0.259894 | − | 0.0353230i | ||||
\(669\) | 8.02411 | + | 37.9217i | 0.310230 | + | 1.46614i | ||||
\(670\) | −0.307528 | − | 0.399047i | −0.0118809 | − | 0.0154165i | ||||
\(671\) | −11.0495 | + | 6.37942i | −0.426560 | + | 0.246275i | ||||
\(672\) | 6.43404 | − | 10.1177i | 0.248199 | − | 0.390299i | ||||
\(673\) | 3.13152 | + | 1.80798i | 0.120711 | + | 0.0696926i | 0.559140 | − | 0.829073i | \(-0.311132\pi\) |
−0.438429 | + | 0.898766i | \(0.644465\pi\) | |||||||
\(674\) | 4.60537 | + | 34.4244i | 0.177392 | + | 1.32598i | ||||
\(675\) | 12.1422 | + | 22.5109i | 0.467354 | + | 0.866444i | ||||
\(676\) | 3.28008 | − | 25.7470i | 0.126157 | − | 0.990268i | ||||
\(677\) | −4.11350 | − | 1.39635i | −0.158095 | − | 0.0536659i | 0.241270 | − | 0.970458i | \(-0.422436\pi\) |
−0.399365 | + | 0.916792i | \(0.630769\pi\) | |||||||
\(678\) | −4.33672 | − | 3.69511i | −0.166551 | − | 0.141910i | ||||
\(679\) | 8.24440 | + | 6.32615i | 0.316391 | + | 0.242775i | ||||
\(680\) | −2.68202 | − | 1.30176i | −0.102851 | − | 0.0499200i | ||||
\(681\) | 25.1262 | + | 24.5219i | 0.962839 | + | 0.939681i | ||||
\(682\) | 13.2947 | + | 2.61556i | 0.509079 | + | 0.100155i | ||||
\(683\) | −30.3270 | − | 20.2638i | −1.16043 | − | 0.775374i | −0.182274 | − | 0.983248i | \(-0.558346\pi\) |
−0.978156 | + | 0.207874i | \(0.933346\pi\) | |||||||
\(684\) | 19.2795 | − | 10.2013i | 0.737172 | − | 0.390058i | ||||
\(685\) | −0.681600 | + | 3.42664i | −0.0260426 | + | 0.130925i | ||||
\(686\) | −21.6371 | + | 0.0452831i | −0.826110 | + | 0.00172892i | ||||
\(687\) | 31.1183 | + | 3.71208i | 1.18724 | + | 0.141625i | ||||
\(688\) | −10.4151 | − | 20.6815i | −0.397072 | − | 0.788473i | ||||
\(689\) | 0.124576 | + | 0.0333801i | 0.00474598 | + | 0.00127168i | ||||
\(690\) | 4.10574 | − | 1.76968i | 0.156303 | − | 0.0673705i | ||||
\(691\) | −16.2128 | + | 18.4872i | −0.616765 | + | 0.703286i | −0.972920 | − | 0.231141i | \(-0.925754\pi\) |
0.356155 | + | 0.934427i | \(0.384088\pi\) | |||||||
\(692\) | 7.02980 | − | 0.490316i | 0.267233 | − | 0.0186390i | ||||
\(693\) | 4.13251 | − | 0.927114i | 0.156981 | − | 0.0352182i | ||||
\(694\) | 14.5034 | − | 29.5658i | 0.550541 | − | 1.12230i | ||||
\(695\) | 1.23785 | + | 1.61320i | 0.0469545 | + | 0.0611923i | ||||
\(696\) | −22.5505 | + | 9.83199i | −0.854776 | + | 0.372681i | ||||
\(697\) | 11.2177 | − | 14.6192i | 0.424902 | − | 0.553743i | ||||
\(698\) | −21.1653 | + | 10.4927i | −0.801117 | + | 0.397154i | ||||
\(699\) | 9.38012 | + | 26.5662i | 0.354789 | + | 1.00482i | ||||
\(700\) | −6.06720 | − | 10.4079i | −0.229319 | − | 0.393380i | ||||
\(701\) | −14.6949 | + | 9.81884i | −0.555020 | + | 0.370852i | −0.801223 | − | 0.598366i | \(-0.795817\pi\) |
0.246203 | + | 0.969218i | \(0.420817\pi\) | |||||||
\(702\) | 1.07406 | + | 0.243784i | 0.0405379 | + | 0.00920102i | ||||
\(703\) | 6.42925 | 0.242484 | ||||||||
\(704\) | −2.85660 | + | 8.77578i | −0.107662 | + | 0.330750i | ||||
\(705\) | 0.543855 | + | 3.77531i | 0.0204828 | + | 0.142187i | ||||
\(706\) | 12.4457 | + | 1.61201i | 0.468399 | + | 0.0606689i | ||||
\(707\) | −4.50762 | − | 2.22291i | −0.169526 | − | 0.0836012i | ||||
\(708\) | 18.4878 | + | 23.2948i | 0.694815 | + | 0.875471i | ||||
\(709\) | −1.39250 | + | 4.10216i | −0.0522963 | + | 0.154060i | −0.969940 | − | 0.243344i | \(-0.921756\pi\) |
0.917644 | + | 0.397404i | \(0.130089\pi\) | |||||||
\(710\) | −0.0935462 | + | 1.47452i | −0.00351073 | + | 0.0553377i | ||||
\(711\) | 0.829016 | − | 0.129743i | 0.0310905 | − | 0.00486573i | ||||
\(712\) | 0.313227 | + | 49.8881i | 0.0117387 | + | 1.86964i | ||||
\(713\) | −33.0961 | − | 43.1317i | −1.23946 | − | 1.61530i | ||||
\(714\) | 2.36896 | + | 11.0811i | 0.0886561 | + | 0.414699i | ||||
\(715\) | 0.0481068 | + | 0.00315309i | 0.00179909 | + | 0.000117919i | ||||
\(716\) | 12.3215 | − | 8.30780i | 0.460478 | − | 0.310477i | ||||
\(717\) | −26.2819 | + | 13.3609i | −0.981516 | + | 0.498973i | ||||
\(718\) | 3.13556 | − | 3.14872i | 0.117018 | − | 0.117509i | ||||
\(719\) | 0.0534869 | − | 0.0534869i | 0.00199473 | − | 0.00199473i | −0.706109 | − | 0.708103i | \(-0.749551\pi\) |
0.708103 | + | 0.706109i | \(0.249551\pi\) | |||||||
\(720\) | −1.94889 | − | 2.71973i | −0.0726307 | − | 0.101358i | ||||
\(721\) | 0.432197 | + | 0.432197i | 0.0160959 | + | 0.0160959i | ||||
\(722\) | 8.18010 | − | 0.0171197i | 0.304432 | − | 0.000637128i | ||||
\(723\) | 3.50297 | − | 5.38326i | 0.130277 | − | 0.200206i | ||||
\(724\) | −5.13608 | − | 25.2676i | −0.190881 | − | 0.939063i | ||||
\(725\) | −1.61661 | + | 24.6647i | −0.0600393 | + | 0.916023i | ||||
\(726\) | 21.0904 | − | 10.7773i | 0.782738 | − | 0.399983i | ||||
\(727\) | 29.9853 | − | 23.0085i | 1.11209 | − | 0.853340i | 0.121831 | − | 0.992551i | \(-0.461123\pi\) |
0.990263 | + | 0.139211i | \(0.0444567\pi\) | |||||||
\(728\) | −0.509429 | − | 0.0980109i | −0.0188807 | − | 0.00363252i | ||||
\(729\) | 8.48484 | − | 25.6322i | 0.314253 | − | 0.949339i | ||||
\(730\) | 1.51651 | − | 1.33557i | 0.0561285 | − | 0.0494315i | ||||
\(731\) | 20.7224 | + | 7.03430i | 0.766445 | + | 0.260173i | ||||
\(732\) | −0.626652 | − | 38.3071i | −0.0231617 | − | 1.41587i | ||||
\(733\) | −19.4998 | + | 39.5418i | −0.720243 | + | 1.46051i | 0.160560 | + | 0.987026i | \(0.448670\pi\) |
−0.880803 | + | 0.473483i | \(0.842997\pi\) | |||||||
\(734\) | −7.39161 | + | 5.69640i | −0.272829 | + | 0.210258i | ||||
\(735\) | −0.986968 | + | 2.46727i | −0.0364049 | + | 0.0910066i | ||||
\(736\) | 31.8740 | − | 18.8499i | 1.17489 | − | 0.694815i | ||||
\(737\) | − | 1.47392i | − | 0.0542925i | ||||||
\(738\) | 18.8910 | − | 8.41661i | 0.695388 | − | 0.309820i | ||||
\(739\) | 6.30629 | + | 9.43802i | 0.231981 | + | 0.347183i | 0.929137 | − | 0.369736i | \(-0.120552\pi\) |
−0.697157 | + | 0.716919i | \(0.745552\pi\) | |||||||
\(740\) | −0.132820 | − | 0.977241i | −0.00488255 | − | 0.0359241i | ||||
\(741\) | −0.717055 | − | 0.613562i | −0.0263417 | − | 0.0225398i | ||||
\(742\) | −0.475740 | + | 1.41118i | −0.0174650 | + | 0.0518060i | ||||
\(743\) | −20.1896 | − | 15.4920i | −0.740683 | − | 0.568346i | 0.168023 | − | 0.985783i | \(-0.446262\pi\) |
−0.908706 | + | 0.417437i | \(0.862928\pi\) | |||||||
\(744\) | −26.2575 | + | 31.0794i | −0.962648 | + | 1.13943i | ||||
\(745\) | 2.05784 | − | 1.57904i | 0.0753935 | − | 0.0578515i | ||||
\(746\) | 23.8226 | − | 8.14233i | 0.872208 | − | 0.298112i | ||||
\(747\) | −2.45266 | + | 2.25887i | −0.0897380 | + | 0.0826477i | ||||
\(748\) | −3.89033 | − | 7.80628i | −0.142245 | − | 0.285426i | ||||
\(749\) | 9.75523 | + | 8.55511i | 0.356448 | + | 0.312597i | ||||
\(750\) | −6.70543 | + | 0.980282i | −0.244848 | + | 0.0357948i | ||||
\(751\) | −3.70308 | + | 13.8201i | −0.135127 | + | 0.504302i | 0.864870 | + | 0.501996i | \(0.167401\pi\) |
−0.999997 | + | 0.00230637i | \(0.999266\pi\) | |||||||
\(752\) | 8.43184 | + | 30.4462i | 0.307478 | + | 1.11026i | ||||
\(753\) | 13.2064 | + | 9.88062i | 0.481269 | + | 0.360070i | ||||
\(754\) | 0.754206 | + | 0.751055i | 0.0274665 | + | 0.0273518i | ||||
\(755\) | −0.665460 | − | 0.132368i | −0.0242186 | − | 0.00481738i | ||||
\(756\) | −3.59453 | + | 12.1990i | −0.130732 | + | 0.443672i | ||||
\(757\) | 16.1284 | − | 24.1378i | 0.586195 | − | 0.877303i | −0.413250 | − | 0.910618i | \(-0.635606\pi\) |
0.999445 | + | 0.0333145i | \(0.0106063\pi\) | |||||||
\(758\) | −31.9867 | + | 21.4698i | −1.16181 | + | 0.779818i | ||||
\(759\) | 12.6747 | + | 3.23135i | 0.460062 | + | 0.117291i | ||||
\(760\) | 0.392054 | + | 2.84004i | 0.0142213 | + | 0.103019i | ||||
\(761\) | 26.9258 | − | 35.0904i | 0.976059 | − | 1.27203i | 0.0137962 | − | 0.999905i | \(-0.495608\pi\) |
0.962263 | − | 0.272121i | \(-0.0877249\pi\) | |||||||
\(762\) | −12.5132 | − | 5.95046i | −0.453305 | − | 0.215563i | ||||
\(763\) | 6.60907 | − | 19.4697i | 0.239264 | − | 0.704850i | ||||
\(764\) | 10.0519 | + | 36.8957i | 0.363664 | + | 1.33484i | ||||
\(765\) | 3.11542 | + | 0.541221i | 0.112638 | + | 0.0195679i | ||||
\(766\) | 33.8885 | + | 25.8911i | 1.22444 | + | 0.935482i | ||||
\(767\) | 0.643362 | − | 1.11434i | 0.0232305 | − | 0.0402363i | ||||
\(768\) | −18.8671 | − | 20.2986i | −0.680806 | − | 0.732464i | ||||
\(769\) | 15.1500 | + | 26.2405i | 0.546322 | + | 0.946257i | 0.998522 | + | 0.0543409i | \(0.0173058\pi\) |
−0.452201 | + | 0.891916i | \(0.649361\pi\) | |||||||
\(770\) | −0.0715056 | + | 0.552065i | −0.00257688 | + | 0.0198950i | ||||
\(771\) | −1.89527 | + | 5.81486i | −0.0682564 | + | 0.209417i | ||||
\(772\) | 15.0683 | + | 3.97001i | 0.542319 | + | 0.142884i | ||||
\(773\) | −49.2145 | + | 9.78938i | −1.77012 | + | 0.352100i | −0.969126 | − | 0.246567i | \(-0.920698\pi\) |
−0.800999 | + | 0.598666i | \(0.795698\pi\) | |||||||
\(774\) | 16.6763 | + | 18.0311i | 0.599419 | + | 0.648115i | ||||
\(775\) | 15.6440 | + | 37.7680i | 0.561949 | + | 1.35667i | ||||
\(776\) | 18.9630 | − | 14.7409i | 0.680732 | − | 0.529168i | ||||
\(777\) | −2.61818 | + | 2.68270i | −0.0939267 | + | 0.0962414i | ||||
\(778\) | 2.17627 | + | 32.1716i | 0.0780230 | + | 1.15341i | ||||
\(779\) | −17.6829 | − | 1.15900i | −0.633556 | − | 0.0415255i | ||||
\(780\) | −0.0784476 | + | 0.121667i | −0.00280887 | + | 0.00435638i | ||||
\(781\) | −2.85005 | + | 3.24986i | −0.101983 | + | 0.116289i | ||||
\(782\) | −8.98691 | + | 33.8226i | −0.321371 | + | 1.20949i | ||||
\(783\) | 20.1073 | − | 16.6295i | 0.718576 | − | 0.594291i | ||||
\(784\) | −5.51838 | + | 21.3068i | −0.197085 | + | 0.760956i | ||||
\(785\) | 2.98574 | − | 0.800028i | 0.106566 | − | 0.0285542i | ||||
\(786\) | 20.8686 | + | 26.4079i | 0.744358 | + | 0.941937i | ||||
\(787\) | 36.1670 | − | 12.2770i | 1.28921 | − | 0.437629i | 0.409142 | − | 0.912471i | \(-0.365828\pi\) |
0.880071 | + | 0.474842i | \(0.157495\pi\) | |||||||
\(788\) | −23.2773 | + | 35.1546i | −0.829220 | + | 1.25233i | ||||
\(789\) | 10.2998 | + | 15.0159i | 0.366684 | + | 0.534579i | ||||
\(790\) | −0.0212904 | + | 0.108217i | −0.000757480 | + | 0.00385020i | ||||
\(791\) | −2.62973 | − | 1.08927i | −0.0935024 | − | 0.0387300i | ||||
\(792\) | 0.340860 | − | 9.78290i | 0.0121119 | − | 0.347620i | ||||
\(793\) | −1.53145 | + | 0.634347i | −0.0543833 | + | 0.0225263i | ||||
\(794\) | 38.5241 | − | 7.74678i | 1.36717 | − | 0.274923i | ||||
\(795\) | 0.315754 | + | 0.270181i | 0.0111986 | + | 0.00958234i | ||||
\(796\) | 37.1184 | + | 15.1932i | 1.31563 | + | 0.538510i | ||||
\(797\) | −0.150601 | + | 0.305388i | −0.00533456 | + | 0.0108174i | −0.899524 | − | 0.436872i | \(-0.856086\pi\) |
0.894189 | + | 0.447689i | \(0.147753\pi\) | |||||||
\(798\) | 7.59475 | − | 7.81457i | 0.268851 | − | 0.276633i | ||||
\(799\) | −25.8565 | − | 14.9283i | −0.914739 | − | 0.528125i | ||||
\(800\) | −26.8188 | + | 7.48773i | −0.948189 | + | 0.264731i | ||||
\(801\) | −14.9356 | − | 50.7638i | −0.527722 | − | 1.79365i | ||||
\(802\) | 0.947171 | + | 7.07995i | 0.0334458 | + | 0.250002i | ||||
\(803\) | 5.89935 | − | 0.386664i | 0.208184 | − | 0.0136451i | ||||
\(804\) | 3.86861 | + | 2.14995i | 0.136435 | + | 0.0758229i | ||||
\(805\) | 1.67932 | − | 1.47273i | 0.0591884 | − | 0.0519068i | ||||
\(806\) | 1.66811 | + | 0.562357i | 0.0587567 | + | 0.0198082i | ||||
\(807\) | −4.19207 | − | 7.06099i | −0.147568 | − | 0.248558i | ||||
\(808\) | −7.60422 | + | 8.78157i | −0.267516 | + | 0.308934i | ||||
\(809\) | 27.6056 | + | 11.4346i | 0.970562 | + | 0.402020i | 0.810921 | − | 0.585155i | \(-0.198966\pi\) |
0.159641 | + | 0.987175i | \(0.448966\pi\) | |||||||
\(810\) | 2.78351 | + | 2.20149i | 0.0978025 | + | 0.0773523i | ||||
\(811\) | −25.1692 | − | 16.8175i | −0.883809 | − | 0.590542i | 0.0287051 | − | 0.999588i | \(-0.490862\pi\) |
−0.912514 | + | 0.409046i | \(0.865862\pi\) | |||||||
\(812\) | −9.20635 | + | 8.14217i | −0.323079 | + | 0.285734i | ||||
\(813\) | −10.8336 | − | 0.577744i | −0.379952 | − | 0.0202624i | ||||
\(814\) | 1.43743 | − | 2.50177i | 0.0503817 | − | 0.0876870i | ||||
\(815\) | 0.487761 | − | 1.82035i | 0.0170855 | − | 0.0637640i | ||||
\(816\) | 26.1639 | + | 1.17573i | 0.915919 | + | 0.0411588i | ||||
\(817\) | −5.44684 | − | 20.3279i | −0.190561 | − | 0.711183i | ||||
\(818\) | 30.4180 | + | 8.08229i | 1.06354 | + | 0.282591i | ||||
\(819\) | 0.548024 | − | 0.0493413i | 0.0191495 | − | 0.00172412i | ||||
\(820\) | 0.189139 | + | 2.71173i | 0.00660501 | + | 0.0946978i | ||||
\(821\) | 16.7645 | + | 33.9950i | 0.585084 | + | 1.18643i | 0.965205 | + | 0.261496i | \(0.0842157\pi\) |
−0.380121 | + | 0.924937i | \(0.624118\pi\) | |||||||
\(822\) | −6.41666 | − | 30.0146i | −0.223807 | − | 1.04688i | ||||
\(823\) | −43.8027 | + | 5.76673i | −1.52687 | + | 0.201016i | −0.846711 | − | 0.532053i | \(-0.821421\pi\) |
−0.680154 | + | 0.733069i | \(0.738087\pi\) | |||||||
\(824\) | 1.21898 | − | 0.714020i | 0.0424651 | − | 0.0248740i | ||||
\(825\) | −8.57688 | − | 4.81364i | −0.298609 | − | 0.167589i | ||||
\(826\) | 12.3710 | + | 8.22861i | 0.430440 | + | 0.286310i | ||||
\(827\) | −4.06747 | + | 0.809069i | −0.141440 | + | 0.0281341i | −0.265302 | − | 0.964165i | \(-0.585472\pi\) |
0.123863 | + | 0.992299i | \(0.460472\pi\) | |||||||
\(828\) | −26.9694 | + | 28.5539i | −0.937253 | + | 0.992316i | ||||
\(829\) | 6.64368 | − | 4.43916i | 0.230744 | − | 0.154179i | −0.434824 | − | 0.900516i | \(-0.643189\pi\) |
0.665568 | + | 0.746337i | \(0.268189\pi\) | |||||||
\(830\) | −0.168565 | − | 0.404555i | −0.00585097 | − | 0.0140423i | ||||
\(831\) | 40.9660 | + | 16.3874i | 1.42110 | + | 0.568473i | ||||
\(832\) | −0.516773 | + | 1.08195i | −0.0179159 | + | 0.0375100i | ||||
\(833\) | −10.4003 | − | 18.0138i | −0.360349 | − | 0.624142i | ||||
\(834\) | −15.5960 | − | 8.71016i | −0.540047 | − | 0.301608i | ||||
\(835\) | −0.0618102 | − | 0.943042i | −0.00213903 | − | 0.0326353i | ||||
\(836\) | −4.16339 | + | 7.28142i | −0.143994 | + | 0.251833i | ||||
\(837\) | 17.6611 | − | 39.3751i | 0.610456 | − | 1.36100i | ||||
\(838\) | −1.40954 | + | 22.2178i | −0.0486917 | + | 0.767500i | ||||
\(839\) | −5.82744 | − | 0.767196i | −0.201185 | − | 0.0264866i | 0.0292599 | − | 0.999572i | \(-0.490685\pi\) |
−0.230445 | + | 0.973085i | \(0.574018\pi\) | |||||||
\(840\) | −1.34471 | − | 0.992958i | −0.0463968 | − | 0.0342603i | ||||
\(841\) | −3.75117 | + | 0.493851i | −0.129351 | + | 0.0170293i | ||||
\(842\) | −34.7830 | + | 2.35292i | −1.19870 | + | 0.0810869i | ||||
\(843\) | 45.4047 | − | 31.1444i | 1.56382 | − | 1.07267i | ||||
\(844\) | 15.9765 | − | 32.7420i | 0.549935 | − | 1.12703i | ||||
\(845\) | −3.54894 | − | 0.705928i | −0.122087 | − | 0.0242847i | ||||
\(846\) | −17.5155 | − | 28.5663i | −0.602196 | − | 0.982130i | ||||
\(847\) | 8.36689 | − | 8.36689i | 0.287490 | − | 0.287490i | ||||
\(848\) | 2.87783 | + | 1.88825i | 0.0988250 | + | 0.0648427i | ||||
\(849\) | 9.14938 | + | 1.09142i | 0.314006 | + | 0.0374575i | ||||
\(850\) | 13.1096 | − | 22.8167i | 0.449657 | − | 0.782607i | ||||
\(851\) | −10.9627 | + | 3.72134i | −0.375797 | + | 0.127566i | ||||
\(852\) | −4.37267 | − | 12.2210i | −0.149805 | − | 0.418685i | ||||
\(853\) | −7.53937 | + | 3.71801i | −0.258143 | + | 0.127302i | −0.566756 | − | 0.823886i | \(-0.691802\pi\) |
0.308613 | + | 0.951188i | \(0.400135\pi\) | |||||||
\(854\) | −6.19042 | − | 18.1118i | −0.211832 | − | 0.619772i | ||||
\(855\) | −1.23173 | − | 2.78025i | −0.0421244 | − | 0.0950827i | ||||
\(856\) | 24.8301 | − | 16.8174i | 0.848675 | − | 0.574807i | ||||
\(857\) | 2.69320 | − | 20.4569i | 0.0919980 | − | 0.698794i | −0.881840 | − | 0.471549i | \(-0.843695\pi\) |
0.973838 | − | 0.227245i | \(-0.0729717\pi\) | |||||||
\(858\) | −0.399068 | + | 0.141845i | −0.0136239 | + | 0.00484251i | ||||
\(859\) | 26.6251 | − | 23.3496i | 0.908437 | − | 0.796678i | −0.0711985 | − | 0.997462i | \(-0.522682\pi\) |
0.979635 | + | 0.200784i | \(0.0643490\pi\) | |||||||
\(860\) | −2.97730 | + | 1.24786i | −0.101525 | + | 0.0425518i | ||||
\(861\) | 7.68461 | − | 6.90649i | 0.261891 | − | 0.235372i | ||||
\(862\) | −52.4848 | − | 21.6113i | −1.78764 | − | 0.736085i | ||||
\(863\) | − | 38.6082i | − | 1.31424i | −0.753786 | − | 0.657120i | \(-0.771775\pi\) | ||
0.753786 | − | 0.657120i | \(-0.228225\pi\) | |||||||
\(864\) | 25.1800 | + | 15.1646i | 0.856643 | + | 0.515910i | ||||
\(865\) | − | 0.982424i | − | 0.0334034i | ||||||
\(866\) | −17.2044 | + | 41.7822i | −0.584630 | + | 1.41982i | ||||
\(867\) | 3.49080 | − | 3.13733i | 0.118554 | − | 0.106549i | ||||
\(868\) | −7.69998 | + | 18.8117i | −0.261355 | + | 0.638512i | ||||
\(869\) | −0.242597 | + | 0.212752i | −0.00822955 | + | 0.00721712i | ||||
\(870\) | 1.14864 | + | 3.23159i | 0.0389424 | + | 0.109561i | ||||
\(871\) | 0.0249947 | − | 0.189853i | 0.000846911 | − | 0.00643293i | ||||
\(872\) | −39.6781 | − | 26.1532i | −1.34367 | − | 0.885660i | ||||
\(873\) | −15.0120 | + | 20.5826i | −0.508078 | + | 0.696615i | ||||
\(874\) | 31.8461 | − | 10.8847i | 1.07721 | − | 0.368179i | ||||
\(875\) | −3.03644 | + | 1.49741i | −0.102650 | + | 0.0506215i | ||||
\(876\) | −7.59029 | + | 16.0481i | −0.256452 | + | 0.542215i | ||||
\(877\) | 42.0069 | − | 14.2594i | 1.41847 | − | 0.481507i | 0.496255 | − | 0.868177i | \(-0.334708\pi\) |
0.922218 | + | 0.386670i | \(0.126375\pi\) | |||||||
\(878\) | 36.0283 | + | 20.7006i | 1.21590 | + | 0.698610i | ||||
\(879\) | 31.0369 | + | 3.70236i | 1.04685 | + | 0.124878i | ||||
\(880\) | 1.19278 | + | 0.482408i | 0.0402086 | + | 0.0162620i | ||||
\(881\) | −22.6410 | + | 22.6410i | −0.762795 | + | 0.762795i | −0.976827 | − | 0.214032i | \(-0.931340\pi\) |
0.214032 | + | 0.976827i | \(0.431340\pi\) | |||||||
\(882\) | −0.617070 | − | 23.3368i | −0.0207778 | − | 0.785789i | ||||
\(883\) | 1.02543 | + | 0.203970i | 0.0345083 | + | 0.00686413i | 0.212314 | − | 0.977201i | \(-0.431900\pi\) |
−0.177806 | + | 0.984066i | \(0.556900\pi\) | |||||||
\(884\) | −0.368730 | − | 1.07149i | −0.0124017 | − | 0.0360380i | ||||
\(885\) | 3.41905 | − | 2.34523i | 0.114930 | − | 0.0788340i | ||||
\(886\) | −0.815377 | − | 12.0537i | −0.0273931 | − | 0.404951i | ||||
\(887\) | −8.16986 | + | 1.07558i | −0.274317 | + | 0.0361145i | −0.266430 | − | 0.963854i | \(-0.585844\pi\) |
−0.00788738 | + | 0.999969i | \(0.502511\pi\) | |||||||
\(888\) | 4.46970 | + | 7.42206i | 0.149993 | + | 0.249068i | ||||
\(889\) | −6.86311 | − | 0.903546i | −0.230181 | − | 0.0303040i | ||||
\(890\) | 6.94122 | + | 0.440364i | 0.232670 | + | 0.0147610i | ||||
\(891\) | 2.51873 | + | 10.0725i | 0.0843806 | + | 0.337441i | ||||
\(892\) | 43.1838 | − | 11.7650i | 1.44590 | − | 0.393922i | ||||
\(893\) | 1.87787 | + | 28.6507i | 0.0628405 | + | 0.958761i | ||||
\(894\) | −11.1109 | + | 19.8947i | −0.371604 | + | 0.665378i | ||||
\(895\) | −1.03588 | − | 1.79420i | −0.0346258 | − | 0.0599736i | ||||
\(896\) | −12.0903 | − | 6.74615i | −0.403909 | − | 0.225373i | ||||
\(897\) | 1.57781 | + | 0.631163i | 0.0526815 | + | 0.0210739i | ||||
\(898\) | 28.6588 | − | 11.9412i | 0.956356 | − | 0.398483i | ||||
\(899\) | 34.6763 | − | 23.1700i | 1.15652 | − | 0.772761i | ||||
\(900\) | 25.1452 | − | 15.4903i | 0.838172 | − | 0.516344i | ||||
\(901\) | −3.19040 | + | 0.634609i | −0.106288 | + | 0.0211419i | ||||
\(902\) | −4.40447 | + | 6.62171i | −0.146653 | + | 0.220479i | ||||
\(903\) | 10.7002 | + | 6.00534i | 0.356082 | + | 0.199845i | ||||
\(904\) | −3.97210 | + | 5.24439i | −0.132110 | + | 0.174426i | ||||
\(905\) | −3.56391 | + | 0.469197i | −0.118468 | + | 0.0155966i | ||||
\(906\) | 5.82891 | − | 1.24613i | 0.193653 | − | 0.0413999i | ||||
\(907\) | −2.53660 | − | 5.14371i | −0.0842263 | − | 0.170794i | 0.850685 | − | 0.525676i | \(-0.176188\pi\) |
−0.934911 | + | 0.354882i | \(0.884521\pi\) | |||||||
\(908\) | 26.6024 | − | 30.5916i | 0.882832 | − | 1.01522i | ||||
\(909\) | 5.17886 | − | 11.1798i | 0.171772 | − | 0.370809i | ||||
\(910\) | −0.0185724 | + | 0.0698981i | −0.000615670 | + | 0.00231710i | ||||
\(911\) | 11.9533 | + | 44.6104i | 0.396031 | + | 1.47801i | 0.820017 | + | 0.572339i | \(0.193964\pi\) |
−0.423986 | + | 0.905669i | \(0.639369\pi\) | |||||||
\(912\) | −13.0386 | − | 21.5488i | −0.431752 | − | 0.713553i | ||||
\(913\) | 0.331859 | − | 1.23851i | 0.0109829 | − | 0.0409888i | ||||
\(914\) | −22.4339 | − | 12.8897i | −0.742047 | − | 0.426353i | ||||
\(915\) | −5.33363 | − | 0.284436i | −0.176324 | − | 0.00940317i | ||||
\(916\) | 2.21558 | − | 36.1192i | 0.0732049 | − | 1.19341i | ||||
\(917\) | 13.9815 | + | 9.34211i | 0.461708 | + | 0.308504i | ||||
\(918\) | −27.0157 | + | 6.46698i | −0.891653 | + | 0.213442i | ||||
\(919\) | 18.2267 | + | 7.54973i | 0.601242 | + | 0.249043i | 0.662479 | − | 0.749081i | \(-0.269504\pi\) |
−0.0612365 | + | 0.998123i | \(0.519504\pi\) | |||||||
\(920\) | −2.31236 | − | 4.61571i | −0.0762362 | − | 0.152176i | ||||
\(921\) | −27.4535 | − | 46.2417i | −0.904622 | − | 1.52372i | ||||
\(922\) | −1.49329 | + | 4.42953i | −0.0491789 | + | 0.145879i | ||||
\(923\) | −0.422222 | + | 0.370279i | −0.0138976 | + | 0.0121879i | ||||
\(924\) | −1.34283 | − | 4.70245i | −0.0441758 | − | 0.154699i | ||||
\(925\) | 8.68655 | − | 0.569346i | 0.285612 | − | 0.0187200i | ||||
\(926\) | −15.2180 | + | 2.03590i | −0.500095 | + | 0.0669038i | ||||
\(927\) | −1.03342 | + | 1.08500i | −0.0339421 | + | 0.0356362i | ||||
\(928\) | 12.8298 | + | 25.3441i | 0.421157 | + | 0.831961i | ||||
\(929\) | 22.7489 | + | 13.1341i | 0.746368 | + | 0.430916i | 0.824380 | − | 0.566037i | \(-0.191524\pi\) |
−0.0780121 | + | 0.996952i | \(0.524857\pi\) | |||||||
\(930\) | 4.06766 | + | 3.95324i | 0.133384 | + | 0.129632i | ||||
\(931\) | −8.84725 | + | 17.9404i | −0.289957 | + | 0.587974i | ||||
\(932\) | 30.0033 | − | 12.5751i | 0.982790 | − | 0.411913i | ||||
\(933\) | 25.5103 | + | 21.8284i | 0.835169 | + | 0.714630i | ||||
\(934\) | −3.76053 | − | 18.7008i | −0.123048 | − | 0.611910i | ||||
\(935\) | −1.12339 | + | 0.465325i | −0.0367389 | + | 0.0152178i | ||||
\(936\) | 0.209804 | − | 1.25434i | 0.00685765 | − | 0.0409994i | ||||
\(937\) | −41.1440 | − | 17.0424i | −1.34412 | − | 0.556751i | −0.409468 | − | 0.912324i | \(-0.634286\pi\) |
−0.934648 | + | 0.355573i | \(0.884286\pi\) | |||||||
\(938\) | 2.16954 | + | 0.426831i | 0.0708381 | + | 0.0139365i | ||||
\(939\) | 15.4472 | + | 22.5201i | 0.504100 | + | 0.734915i | ||||
\(940\) | 4.31610 | − | 0.877321i | 0.140776 | − | 0.0286151i | ||||
\(941\) | 34.9845 | − | 11.8756i | 1.14046 | − | 0.387135i | 0.313609 | − | 0.949552i | \(-0.398462\pi\) |
0.826853 | + | 0.562418i | \(0.190129\pi\) | |||||||
\(942\) | −21.3056 | + | 16.8366i | −0.694175 | + | 0.548567i | ||||
\(943\) | 30.8225 | − | 8.25887i | 1.00372 | − | 0.268946i | ||||
\(944\) | 25.6280 | − | 22.8575i | 0.834121 | − | 0.743949i | ||||
\(945\) | 1.66170 | + | 0.618241i | 0.0540552 | + | 0.0201114i | ||||
\(946\) | −9.12784 | − | 2.42533i | −0.296772 | − | 0.0788544i | ||||
\(947\) | 29.0578 | − | 33.1341i | 0.944252 | − | 1.07671i | −0.0526929 | − | 0.998611i | \(-0.516780\pi\) |
0.996945 | − | 0.0781028i | \(-0.0248862\pi\) | |||||||
\(948\) | −0.204545 | − | 0.947081i | −0.00664330 | − | 0.0307597i | ||||
\(949\) | 0.766444 | + | 0.0502354i | 0.0248798 | + | 0.00163071i | ||||
\(950\) | −25.2484 | + | 1.70794i | −0.819167 | + | 0.0554130i | ||||
\(951\) | 40.7028 | − | 41.7059i | 1.31988 | − | 1.35241i | ||||
\(952\) | 12.6171 | − | 3.46579i | 0.408922 | − | 0.112327i | ||||
\(953\) | −13.5518 | − | 32.7169i | −0.438985 | − | 1.05980i | −0.976300 | − | 0.216423i | \(-0.930561\pi\) |
0.537314 | − | 0.843382i | \(-0.319439\pi\) | |||||||
\(954\) | −3.48686 | − | 1.08172i | −0.112891 | − | 0.0350220i | ||||
\(955\) | 5.22877 | − | 1.04007i | 0.169199 | − | 0.0336558i | ||||
\(956\) | 17.1453 | + | 29.4116i | 0.554520 | + | 0.951239i | ||||
\(957\) | −3.10939 | + | 9.53990i | −0.100512 | + | 0.308381i | ||||
\(958\) | −49.7315 | − | 6.44143i | −1.60675 | − | 0.208113i | ||||
\(959\) | −7.66695 | − | 13.2795i | −0.247579 | − | 0.428819i | ||||
\(960\) | −3.00604 | + | 2.42703i | −0.0970196 | + | 0.0783321i | ||||
\(961\) | 18.9872 | − | 32.8868i | 0.612491 | − | 1.06087i | ||||
\(962\) | 0.227578 | − | 0.297874i | 0.00733740 | − | 0.00960383i | ||||
\(963\) | −20.3845 | + | 24.4183i | −0.656880 | + | 0.786868i | ||||
\(964\) | −6.43810 | − | 3.68120i | −0.207357 | − | 0.118563i | ||||
\(965\) | 0.698294 | − | 2.05711i | 0.0224789 | − | 0.0662207i | ||||
\(966\) | −8.42686 | + | 17.7208i | −0.271130 | + | 0.570158i | ||||
\(967\) | −29.9218 | + | 38.9948i | −0.962220 | + | 1.25399i | 0.00498362 | + | 0.999988i | \(0.498414\pi\) |
−0.967204 | + | 0.254002i | \(0.918253\pi\) | |||||||
\(968\) | −13.8227 | − | 23.5982i | −0.444278 | − | 0.758474i | ||||
\(969\) | 23.0649 | + | 5.88031i | 0.740953 | + | 0.188903i | ||||
\(970\) | −1.86614 | − | 2.78027i | −0.0599183 | − | 0.0892690i | ||||
\(971\) | −33.2810 | + | 49.8085i | −1.06804 | + | 1.59843i | −0.304679 | + | 0.952455i | \(0.598549\pi\) |
−0.763358 | + | 0.645975i | \(0.776451\pi\) | |||||||
\(972\) | −30.1113 | − | 8.08143i | −0.965820 | − | 0.259212i | ||||
\(973\) | −8.75296 | − | 1.74107i | −0.280607 | − | 0.0558162i | ||||
\(974\) | −21.4109 | + | 21.5007i | −0.686048 | + | 0.688926i | ||||
\(975\) | −1.02315 | − | 0.765484i | −0.0327669 | − | 0.0245151i | ||||
\(976\) | −44.1186 | + | 3.26282i | −1.41220 | + | 0.104440i | ||||
\(977\) | 3.27833 | − | 12.2349i | 0.104883 | − | 0.391428i | −0.893449 | − | 0.449165i | \(-0.851722\pi\) |
0.998332 | + | 0.0577364i | \(0.0183883\pi\) | |||||||
\(978\) | 2.39490 | + | 16.3818i | 0.0765803 | + | 0.523833i | ||||
\(979\) | 15.2986 | + | 13.4165i | 0.488944 | + | 0.428792i | ||||
\(980\) | 2.90971 | + | 0.974149i | 0.0929472 | + | 0.0311180i | ||||
\(981\) | 48.1100 | + | 15.0355i | 1.53603 | + | 0.480047i | ||||
\(982\) | −2.51521 | − | 7.35895i | −0.0802637 | − | 0.234833i | ||||
\(983\) | 24.5212 | − | 18.8158i | 0.782106 | − | 0.600131i | −0.138618 | − | 0.990346i | \(-0.544266\pi\) |
0.920724 | + | 0.390215i | \(0.127599\pi\) | |||||||
\(984\) | −10.9554 | − | 21.2193i | −0.349246 | − | 0.676446i | ||||
\(985\) | 4.66332 | + | 3.57830i | 0.148586 | + | 0.114014i | ||||
\(986\) | −25.4391 | − | 8.57608i | −0.810147 | − | 0.273118i | ||||
\(987\) | −12.7197 | − | 10.8839i | −0.404872 | − | 0.346437i | ||||
\(988\) | −0.659758 | + | 0.867306i | −0.0209897 | + | 0.0275927i | ||||
\(989\) | 21.0536 | + | 31.5090i | 0.669467 | + | 1.00193i | ||||
\(990\) | −1.35725 | − | 0.142301i | −0.0431362 | − | 0.00452264i | ||||
\(991\) | − | 3.92381i | − | 0.124644i | −0.998056 | − | 0.0623220i | \(-0.980149\pi\) | ||
0.998056 | − | 0.0623220i | \(-0.0198506\pi\) | |||||||
\(992\) | 37.5695 | + | 28.2084i | 1.19283 | + | 0.895619i | ||||
\(993\) | 16.7206 | − | 41.7989i | 0.530612 | − | 1.32645i | ||||
\(994\) | −3.95831 | − | 5.13628i | −0.125550 | − | 0.162913i | ||||
\(995\) | 2.47305 | − | 5.01486i | 0.0784011 | − | 0.158982i | ||||
\(996\) | 2.76667 | + | 2.67761i | 0.0876652 | + | 0.0848432i | ||||
\(997\) | 23.6913 | + | 8.04210i | 0.750310 | + | 0.254696i | 0.670292 | − | 0.742098i | \(-0.266169\pi\) |
0.0800178 | + | 0.996793i | \(0.474502\pi\) | |||||||
\(998\) | 25.2032 | + | 28.6177i | 0.797792 | + | 0.905876i | ||||
\(999\) | −6.73090 | − | 6.25646i | −0.212956 | − | 0.197946i |
(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 | 576.2.bm.a.205.83 | yes | 1504 | |
9.4 | even | 3 | inner | 576.2.bm.a.13.43 | ✓ | 1504 | |
64.5 | even | 16 | inner | 576.2.bm.a.133.43 | yes | 1504 | |
576.517 | even | 48 | inner | 576.2.bm.a.517.83 | yes | 1504 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
576.2.bm.a.13.43 | ✓ | 1504 | 9.4 | even | 3 | inner | |
576.2.bm.a.133.43 | yes | 1504 | 64.5 | even | 16 | inner | |
576.2.bm.a.205.83 | yes | 1504 | 1.1 | even | 1 | trivial | |
576.2.bm.a.517.83 | yes | 1504 | 576.517 | even | 48 | inner |