Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [384,2,Mod(11,384)]
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([16, 21, 16]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("384.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 384 = 2^{7} \cdot 3 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 384.w (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: | \(992\) |
Relative dimension: | \(62\) over \(\Q(\zeta_{32})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{32}]$ |
Embedding invariants
Embedding label | 131.30 | ||
Character | \(\chi\) | \(=\) | 384.131 |
Dual form | 384.2.w.a.299.30 |
$q$-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 \(\left(\mathbb{Z}/384\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(133\) | \(257\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{3}{32}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.0871908 | + | 1.41152i | −0.0616532 | + | 0.998098i | ||||
\(3\) | 1.48403 | − | 0.893115i | 0.856805 | − | 0.515640i | ||||
\(4\) | −1.98480 | − | 0.246144i | −0.992398 | − | 0.123072i | ||||
\(5\) | 0.108259 | − | 0.356883i | 0.0484151 | − | 0.159603i | −0.929400 | − | 0.369075i | \(-0.879675\pi\) |
0.977815 | + | 0.209472i | \(0.0671745\pi\) | |||||||
\(6\) | 1.13126 | + | 2.17261i | 0.461834 | + | 0.886966i | ||||
\(7\) | −0.537756 | − | 2.70348i | −0.203253 | − | 1.02182i | −0.938830 | − | 0.344380i | \(-0.888089\pi\) |
0.735577 | − | 0.677441i | \(-0.236911\pi\) | |||||||
\(8\) | 0.520493 | − | 2.78012i | 0.184022 | − | 0.982922i | ||||
\(9\) | 1.40469 | − | 2.65082i | 0.468231 | − | 0.883606i | ||||
\(10\) | 0.494310 | + | 0.183928i | 0.156315 | + | 0.0581630i | ||||
\(11\) | 2.68099 | − | 0.264054i | 0.808349 | − | 0.0796154i | 0.314605 | − | 0.949223i | \(-0.398128\pi\) |
0.493744 | + | 0.869607i | \(0.335628\pi\) | |||||||
\(12\) | −3.16533 | + | 1.40737i | −0.913752 | + | 0.406271i | ||||
\(13\) | −0.608731 | − | 2.00672i | −0.168832 | − | 0.556564i | −1.00000 | 0.000542392i | \(-0.999827\pi\) | |
0.831168 | − | 0.556021i | \(-0.187673\pi\) | |||||||
\(14\) | 3.86292 | − | 0.523337i | 1.03241 | − | 0.139868i | ||||
\(15\) | −0.158077 | − | 0.626314i | −0.0408154 | − | 0.161714i | ||||
\(16\) | 3.87883 | + | 0.977089i | 0.969707 | + | 0.244272i | ||||
\(17\) | −1.76035 | − | 0.729163i | −0.426949 | − | 0.176848i | 0.158853 | − | 0.987302i | \(-0.449220\pi\) |
−0.585802 | + | 0.810454i | \(0.699220\pi\) | |||||||
\(18\) | 3.61922 | + | 2.21388i | 0.853057 | + | 0.521817i | ||||
\(19\) | 0.122089 | − | 0.228412i | 0.0280090 | − | 0.0524012i | −0.867527 | − | 0.497389i | \(-0.834292\pi\) |
0.895537 | + | 0.444988i | \(0.146792\pi\) | |||||||
\(20\) | −0.302717 | + | 0.681693i | −0.0676896 | + | 0.152431i | ||||
\(21\) | −3.21257 | − | 3.53177i | −0.701040 | − | 0.770696i | ||||
\(22\) | 0.138961 | + | 3.80730i | 0.0296267 | + | 0.811719i | ||||
\(23\) | 3.72397 | + | 5.57332i | 0.776502 | + | 1.16212i | 0.982988 | + | 0.183667i | \(0.0587969\pi\) |
−0.206487 | + | 0.978449i | \(0.566203\pi\) | |||||||
\(24\) | −1.71054 | − | 4.59065i | −0.349163 | − | 0.937062i | ||||
\(25\) | 4.04170 | + | 2.70058i | 0.808340 | + | 0.540116i | ||||
\(26\) | 2.88561 | − | 0.684271i | 0.565914 | − | 0.134197i | ||||
\(27\) | −0.282877 | − | 5.18845i | −0.0544398 | − | 0.998517i | ||||
\(28\) | 0.401891 | + | 5.49823i | 0.0759503 | + | 1.03907i | ||||
\(29\) | −4.75894 | − | 0.468715i | −0.883713 | − | 0.0870381i | −0.354030 | − | 0.935234i | \(-0.615189\pi\) |
−0.529683 | + | 0.848196i | \(0.677689\pi\) | |||||||
\(30\) | 0.897839 | − | 0.168521i | 0.163922 | − | 0.0307676i | ||||
\(31\) | −0.807701 | − | 0.807701i | −0.145067 | − | 0.145067i | 0.630843 | − | 0.775910i | \(-0.282709\pi\) |
−0.775910 | + | 0.630843i | \(0.782709\pi\) | |||||||
\(32\) | −1.71738 | + | 5.38986i | −0.303593 | + | 0.952802i | ||||
\(33\) | 3.74284 | − | 2.78629i | 0.651544 | − | 0.485032i | ||||
\(34\) | 1.18272 | − | 2.42121i | 0.202834 | − | 0.415233i | ||||
\(35\) | −1.02305 | − | 0.100761i | −0.172926 | − | 0.0170317i | ||||
\(36\) | −3.44051 | + | 4.91558i | −0.573418 | + | 0.819263i | ||||
\(37\) | −0.189028 | − | 0.353647i | −0.0310761 | − | 0.0581392i | 0.865904 | − | 0.500210i | \(-0.166744\pi\) |
−0.896980 | + | 0.442071i | \(0.854244\pi\) | |||||||
\(38\) | 0.311763 | + | 0.192246i | 0.0505747 | + | 0.0311864i | ||||
\(39\) | −2.69561 | − | 2.43436i | −0.431642 | − | 0.389810i | ||||
\(40\) | −0.935831 | − | 0.486730i | −0.147968 | − | 0.0769587i | ||||
\(41\) | −1.36610 | − | 2.04451i | −0.213349 | − | 0.319300i | 0.709324 | − | 0.704883i | \(-0.249000\pi\) |
−0.922673 | + | 0.385583i | \(0.874000\pi\) | |||||||
\(42\) | 5.26529 | − | 4.22668i | 0.812452 | − | 0.652190i | ||||
\(43\) | 7.31434 | + | 6.00273i | 1.11543 | + | 0.915407i | 0.996988 | − | 0.0775541i | \(-0.0247110\pi\) |
0.118439 | + | 0.992961i | \(0.462211\pi\) | |||||||
\(44\) | −5.38621 | − | 0.135814i | −0.812002 | − | 0.0204748i | ||||
\(45\) | −0.793962 | − | 0.788287i | −0.118357 | − | 0.117511i | ||||
\(46\) | −8.19156 | + | 4.77053i | −1.20778 | + | 0.703376i | ||||
\(47\) | −7.57642 | − | 3.13825i | −1.10513 | − | 0.457761i | −0.245875 | − | 0.969302i | \(-0.579075\pi\) |
−0.859259 | + | 0.511540i | \(0.829075\pi\) | |||||||
\(48\) | 6.62895 | − | 2.01421i | 0.956806 | − | 0.290726i | ||||
\(49\) | −0.552487 | + | 0.228848i | −0.0789267 | + | 0.0326925i | ||||
\(50\) | −4.16433 | + | 5.46949i | −0.588925 | + | 0.773503i | ||||
\(51\) | −3.26365 | + | 0.490099i | −0.457002 | + | 0.0686275i | ||||
\(52\) | 0.714266 | + | 4.13276i | 0.0990509 | + | 0.573111i | ||||
\(53\) | 2.90263 | − | 0.285884i | 0.398707 | − | 0.0392692i | 0.103323 | − | 0.994648i | \(-0.467052\pi\) |
0.295384 | + | 0.955379i | \(0.404552\pi\) | |||||||
\(54\) | 7.34828 | + | 0.0530968i | 0.999974 | + | 0.00722555i | ||||
\(55\) | 0.196006 | − | 0.985386i | 0.0264294 | − | 0.132869i | ||||
\(56\) | −7.79592 | + | 0.0878843i | −1.04177 | + | 0.0117440i | ||||
\(57\) | −0.0228146 | − | 0.448009i | −0.00302187 | − | 0.0593402i | ||||
\(58\) | 1.07654 | − | 6.67648i | 0.141356 | − | 0.876665i | ||||
\(59\) | −2.18980 | + | 7.21881i | −0.285088 | + | 0.939809i | 0.691078 | + | 0.722781i | \(0.257136\pi\) |
−0.976165 | + | 0.217028i | \(0.930364\pi\) | |||||||
\(60\) | 0.159588 | + | 1.28201i | 0.0206028 | + | 0.165507i | ||||
\(61\) | −2.97258 | + | 2.43953i | −0.380599 | + | 0.312350i | −0.805169 | − | 0.593045i | \(-0.797925\pi\) |
0.424570 | + | 0.905395i | \(0.360425\pi\) | |||||||
\(62\) | 1.21051 | − | 1.06966i | 0.153735 | − | 0.135847i | ||||
\(63\) | −7.92183 | − | 2.37207i | −0.998056 | − | 0.298853i | ||||
\(64\) | −7.45817 | − | 2.89407i | −0.932272 | − | 0.361759i | ||||
\(65\) | −0.782065 | −0.0970032 | ||||||||
\(66\) | 3.60658 | + | 5.52604i | 0.443939 | + | 0.680209i | ||||
\(67\) | 8.17809 | + | 9.96503i | 0.999112 | + | 1.21742i | 0.976018 | + | 0.217689i | \(0.0698517\pi\) |
0.0230940 | + | 0.999733i | \(0.492648\pi\) | |||||||
\(68\) | 3.31447 | + | 1.88054i | 0.401938 | + | 0.228049i | ||||
\(69\) | 10.5041 | + | 4.94504i | 1.26454 | + | 0.595313i | ||||
\(70\) | 0.231427 | − | 1.43527i | 0.0276608 | − | 0.171547i | ||||
\(71\) | 3.16601 | + | 15.9166i | 0.375737 | + | 1.88896i | 0.452256 | + | 0.891888i | \(0.350619\pi\) |
−0.0765188 | + | 0.997068i | \(0.524381\pi\) | |||||||
\(72\) | −6.63847 | − | 5.28495i | −0.782351 | − | 0.622838i | ||||
\(73\) | −1.28192 | − | 0.254990i | −0.150037 | − | 0.0298443i | 0.119500 | − | 0.992834i | \(-0.461871\pi\) |
−0.269538 | + | 0.962990i | \(0.586871\pi\) | |||||||
\(74\) | 0.515663 | − | 0.235983i | 0.0599446 | − | 0.0274325i | ||||
\(75\) | 8.40994 | + | 0.398039i | 0.971096 | + | 0.0459616i | ||||
\(76\) | −0.298543 | + | 0.423299i | −0.0342452 | + | 0.0485557i | ||||
\(77\) | −2.15559 | − | 7.10601i | −0.245652 | − | 0.809805i | ||||
\(78\) | 3.67119 | − | 3.59266i | 0.415681 | − | 0.406788i | ||||
\(79\) | −5.30524 | − | 12.8080i | −0.596886 | − | 1.44101i | −0.876739 | − | 0.480967i | \(-0.840286\pi\) |
0.279853 | − | 0.960043i | \(-0.409714\pi\) | |||||||
\(80\) | 0.768626 | − | 1.27851i | 0.0859350 | − | 0.142942i | ||||
\(81\) | −5.05368 | − | 7.44717i | −0.561520 | − | 0.827463i | ||||
\(82\) | 3.00499 | − | 1.75002i | 0.331846 | − | 0.193257i | ||||
\(83\) | −3.97026 | + | 7.42783i | −0.435792 | + | 0.815310i | −0.999946 | − | 0.0103597i | \(-0.996702\pi\) |
0.564154 | + | 0.825669i | \(0.309202\pi\) | |||||||
\(84\) | 5.50697 | + | 7.80060i | 0.600859 | + | 0.851116i | ||||
\(85\) | −0.450801 | + | 0.549303i | −0.0488962 | + | 0.0595802i | ||||
\(86\) | −9.11073 | + | 9.80098i | −0.982435 | + | 1.05687i | ||||
\(87\) | −7.48103 | + | 3.55469i | −0.802050 | + | 0.381103i | ||||
\(88\) | 0.661333 | − | 7.59092i | 0.0704983 | − | 0.809195i | ||||
\(89\) | −7.46247 | − | 4.98626i | −0.791020 | − | 0.528543i | 0.0931809 | − | 0.995649i | \(-0.470297\pi\) |
−0.884201 | + | 0.467106i | \(0.845297\pi\) | |||||||
\(90\) | 1.18191 | − | 1.05196i | 0.124584 | − | 0.110887i | ||||
\(91\) | −5.09778 | + | 2.72482i | −0.534393 | + | 0.285639i | ||||
\(92\) | −6.01948 | − | 11.9785i | −0.627575 | − | 1.24885i | ||||
\(93\) | −1.92002 | − | 0.477283i | −0.199097 | − | 0.0494920i | ||||
\(94\) | 5.09031 | − | 10.4207i | 0.525026 | − | 1.07481i | ||||
\(95\) | −0.0682990 | − | 0.0682990i | −0.00700733 | − | 0.00700733i | ||||
\(96\) | 2.26512 | + | 9.53254i | 0.231182 | + | 0.972910i | ||||
\(97\) | 7.19167 | − | 7.19167i | 0.730204 | − | 0.730204i | −0.240456 | − | 0.970660i | \(-0.577297\pi\) |
0.970660 | + | 0.240456i | \(0.0772970\pi\) | |||||||
\(98\) | −0.274852 | − | 0.799801i | −0.0277642 | − | 0.0807921i | ||||
\(99\) | 3.06601 | − | 7.47773i | 0.308145 | − | 0.751540i | ||||
\(100\) | −7.35722 | − | 6.35494i | −0.735722 | − | 0.635494i | ||||
\(101\) | −6.75364 | − | 12.6352i | −0.672012 | − | 1.25725i | −0.954567 | − | 0.297995i | \(-0.903682\pi\) |
0.282555 | − | 0.959251i | \(-0.408818\pi\) | |||||||
\(102\) | −0.407226 | − | 4.64944i | −0.0403214 | − | 0.460364i | ||||
\(103\) | −0.196613 | + | 0.294252i | −0.0193728 | + | 0.0289935i | −0.841030 | − | 0.540989i | \(-0.818050\pi\) |
0.821657 | + | 0.569983i | \(0.193050\pi\) | |||||||
\(104\) | −5.89577 | + | 0.647865i | −0.578127 | + | 0.0635284i | ||||
\(105\) | −1.60822 | + | 0.764164i | −0.156946 | + | 0.0745748i | ||||
\(106\) | 0.150449 | + | 4.12205i | 0.0146129 | + | 0.400369i | ||||
\(107\) | −8.08191 | − | 6.63265i | −0.781308 | − | 0.641203i | 0.156767 | − | 0.987636i | \(-0.449893\pi\) |
−0.938075 | + | 0.346433i | \(0.887393\pi\) | |||||||
\(108\) | −0.715649 | + | 10.3676i | −0.0688634 | + | 0.997626i | ||||
\(109\) | 0.928458 | + | 0.496271i | 0.0889301 | + | 0.0475341i | 0.515262 | − | 0.857033i | \(-0.327695\pi\) |
−0.426332 | + | 0.904567i | \(0.640195\pi\) | |||||||
\(110\) | 1.37381 | + | 0.362583i | 0.130987 | + | 0.0345709i | ||||
\(111\) | −0.596371 | − | 0.355999i | −0.0566050 | − | 0.0337899i | ||||
\(112\) | 0.555681 | − | 11.0118i | 0.0525069 | − | 1.04052i | ||||
\(113\) | 11.9948 | − | 4.96842i | 1.12838 | − | 0.467390i | 0.261150 | − | 0.965298i | \(-0.415898\pi\) |
0.867230 | + | 0.497908i | \(0.165898\pi\) | |||||||
\(114\) | 0.634364 | + | 0.00685889i | 0.0594136 | + | 0.000642394i | ||||
\(115\) | 2.39218 | − | 0.725659i | 0.223072 | − | 0.0676681i | ||||
\(116\) | 9.33015 | + | 2.10168i | 0.866283 | + | 0.195137i | ||||
\(117\) | −6.17453 | − | 1.20519i | −0.570835 | − | 0.111420i | ||||
\(118\) | −9.99858 | − | 3.72037i | −0.920444 | − | 0.342488i | ||||
\(119\) | −1.02464 | + | 5.15120i | −0.0939284 | + | 0.472210i | ||||
\(120\) | −1.82351 | + | 0.113483i | −0.166463 | + | 0.0103595i | ||||
\(121\) | −3.67066 | + | 0.730140i | −0.333697 | + | 0.0663764i | ||||
\(122\) | −3.18427 | − | 4.40857i | −0.288291 | − | 0.399133i | ||||
\(123\) | −3.85332 | − | 1.81404i | −0.347442 | − | 0.163566i | ||||
\(124\) | 1.40431 | + | 1.80193i | 0.126111 | + | 0.161818i | ||||
\(125\) | 2.84278 | − | 2.33301i | 0.254266 | − | 0.208671i | ||||
\(126\) | 4.03894 | − | 10.9750i | 0.359818 | − | 0.977733i | ||||
\(127\) | 7.15901i | 0.635259i | 0.948215 | + | 0.317630i | \(0.102887\pi\) | ||||
−0.948215 | + | 0.317630i | \(0.897113\pi\) | |||||||
\(128\) | 4.73533 | − | 10.2750i | 0.418548 | − | 0.908195i | ||||
\(129\) | 16.2158 | + | 2.37568i | 1.42772 | + | 0.209167i | ||||
\(130\) | 0.0681889 | − | 1.10390i | 0.00598056 | − | 0.0968187i | ||||
\(131\) | 13.8884 | + | 16.9230i | 1.21343 | + | 1.47857i | 0.832549 | + | 0.553951i | \(0.186881\pi\) |
0.380885 | + | 0.924622i | \(0.375619\pi\) | |||||||
\(132\) | −8.11460 | + | 4.60895i | −0.706285 | + | 0.401158i | ||||
\(133\) | −0.683161 | − | 0.207235i | −0.0592376 | − | 0.0179695i | ||||
\(134\) | −14.7789 | + | 10.6747i | −1.27670 | + | 0.922154i | ||||
\(135\) | −1.88229 | − | 0.460744i | −0.162002 | − | 0.0396545i | ||||
\(136\) | −2.94342 | + | 4.51448i | −0.252396 | + | 0.387113i | ||||
\(137\) | −8.75985 | − | 1.74244i | −0.748405 | − | 0.148867i | −0.193870 | − | 0.981027i | \(-0.562104\pi\) |
−0.554535 | + | 0.832160i | \(0.687104\pi\) | |||||||
\(138\) | −7.89590 | + | 14.3956i | −0.672143 | + | 1.22544i | ||||
\(139\) | 1.67811 | + | 17.0381i | 0.142335 | + | 1.44515i | 0.755474 | + | 0.655179i | \(0.227407\pi\) |
−0.613139 | + | 0.789975i | \(0.710093\pi\) | |||||||
\(140\) | 2.00573 | + | 0.451806i | 0.169515 | + | 0.0381846i | ||||
\(141\) | −14.0465 | + | 2.10934i | −1.18292 | + | 0.177639i | ||||
\(142\) | −22.7427 | + | 3.08112i | −1.90853 | + | 0.258562i | ||||
\(143\) | −2.16188 | − | 5.21925i | −0.180786 | − | 0.436456i | ||||
\(144\) | 8.03865 | − | 8.90955i | 0.669887 | − | 0.742463i | ||||
\(145\) | −0.682476 | + | 1.64764i | −0.0566766 | + | 0.136829i | ||||
\(146\) | 0.471696 | − | 1.78723i | 0.0390378 | − | 0.147912i | ||||
\(147\) | −0.615520 | + | 0.833051i | −0.0507673 | + | 0.0687089i | ||||
\(148\) | 0.288135 | + | 0.748445i | 0.0236845 | + | 0.0615218i | ||||
\(149\) | −0.465632 | + | 0.567375i | −0.0381461 | + | 0.0464811i | −0.791734 | − | 0.610866i | \(-0.790821\pi\) |
0.753588 | + | 0.657347i | \(0.228321\pi\) | |||||||
\(150\) | −1.29511 | + | 11.8361i | −0.105745 | + | 0.966415i | ||||
\(151\) | 10.2456 | − | 6.84588i | 0.833774 | − | 0.557110i | −0.0638059 | − | 0.997962i | \(-0.520324\pi\) |
0.897580 | + | 0.440853i | \(0.145324\pi\) | |||||||
\(152\) | −0.571466 | − | 0.458308i | −0.0463520 | − | 0.0371737i | ||||
\(153\) | −4.40564 | + | 3.64213i | −0.356175 | + | 0.294449i | ||||
\(154\) | 10.2182 | − | 2.42308i | 0.823410 | − | 0.195257i | ||||
\(155\) | −0.375696 | + | 0.200814i | −0.0301766 | + | 0.0161297i | ||||
\(156\) | 4.75102 | + | 5.49522i | 0.380386 | + | 0.439970i | ||||
\(157\) | −2.37093 | + | 24.0725i | −0.189221 | + | 1.92119i | 0.165484 | + | 0.986212i | \(0.447081\pi\) |
−0.354705 | + | 0.934978i | \(0.615419\pi\) | |||||||
\(158\) | 18.5413 | − | 6.37173i | 1.47507 | − | 0.506908i | ||||
\(159\) | 4.05226 | − | 3.01664i | 0.321365 | − | 0.239235i | ||||
\(160\) | 1.73763 | + | 1.19641i | 0.137372 | + | 0.0945844i | ||||
\(161\) | 13.0648 | − | 13.0648i | 1.02965 | − | 1.02965i | ||||
\(162\) | 10.9525 | − | 6.48406i | 0.860509 | − | 0.509436i | ||||
\(163\) | −1.54978 | + | 15.7352i | −0.121388 | + | 1.23248i | 0.720743 | + | 0.693203i | \(0.243801\pi\) |
−0.842131 | + | 0.539273i | \(0.818699\pi\) | |||||||
\(164\) | 2.20819 | + | 4.39420i | 0.172430 | + | 0.343129i | ||||
\(165\) | −0.589185 | − | 1.63740i | −0.0458680 | − | 0.127471i | ||||
\(166\) | −10.1384 | − | 6.25175i | −0.786891 | − | 0.485230i | ||||
\(167\) | −4.67082 | + | 6.99038i | −0.361439 | + | 0.540932i | −0.966970 | − | 0.254890i | \(-0.917961\pi\) |
0.605531 | + | 0.795822i | \(0.292961\pi\) | |||||||
\(168\) | −11.4909 | + | 7.09307i | −0.886541 | + | 0.547242i | ||||
\(169\) | 7.15274 | − | 4.77931i | 0.550211 | − | 0.367639i | ||||
\(170\) | −0.736048 | − | 0.684210i | −0.0564523 | − | 0.0524765i | ||||
\(171\) | −0.433981 | − | 0.644483i | −0.0331873 | − | 0.0492848i | ||||
\(172\) | −13.0399 | − | 13.7146i | −0.994286 | − | 1.04573i | ||||
\(173\) | 9.30045 | + | 4.97119i | 0.707100 | + | 0.377953i | 0.785410 | − | 0.618976i | \(-0.212452\pi\) |
−0.0783098 | + | 0.996929i | \(0.524952\pi\) | |||||||
\(174\) | −4.36525 | − | 10.8696i | −0.330929 | − | 0.824021i | ||||
\(175\) | 5.12752 | − | 12.3789i | 0.387604 | − | 0.935759i | ||||
\(176\) | 10.6571 | + | 1.59534i | 0.803309 | + | 0.120254i | ||||
\(177\) | 3.19749 | + | 12.6687i | 0.240338 | + | 0.952236i | ||||
\(178\) | 7.68888 | − | 10.0987i | 0.576306 | − | 0.756929i | ||||
\(179\) | 20.5316 | − | 6.22818i | 1.53460 | − | 0.465516i | 0.593840 | − | 0.804583i | \(-0.297611\pi\) |
0.940762 | + | 0.339067i | \(0.110111\pi\) | |||||||
\(180\) | 1.38182 | + | 1.76002i | 0.102995 | + | 0.131184i | ||||
\(181\) | 0.909207 | + | 9.23134i | 0.0675809 | + | 0.686160i | 0.967969 | + | 0.251071i | \(0.0807829\pi\) |
−0.900388 | + | 0.435089i | \(0.856717\pi\) | |||||||
\(182\) | −3.40167 | − | 7.43322i | −0.252148 | − | 0.550987i | ||||
\(183\) | −2.23261 | + | 6.27519i | −0.165040 | + | 0.463875i | ||||
\(184\) | 17.4328 | − | 7.45223i | 1.28516 | − | 0.549385i | ||||
\(185\) | −0.146675 | + | 0.0291754i | −0.0107837 | + | 0.00214502i | ||||
\(186\) | 0.841105 | − | 2.66854i | 0.0616728 | − | 0.195667i | ||||
\(187\) | −4.91203 | − | 1.49005i | −0.359203 | − | 0.108963i | ||||
\(188\) | 14.2652 | + | 8.09368i | 1.04039 | + | 0.590292i | ||||
\(189\) | −13.8748 | + | 3.55487i | −1.00924 | + | 0.258579i | ||||
\(190\) | 0.102361 | − | 0.0904506i | 0.00742603 | − | 0.00656198i | ||||
\(191\) | − | 12.3439i | − | 0.893173i | −0.894740 | − | 0.446587i | \(-0.852639\pi\) | ||
0.894740 | − | 0.446587i | \(-0.147361\pi\) | |||||||
\(192\) | −13.6529 | + | 2.36611i | −0.985313 | + | 0.170760i | ||||
\(193\) | 0.121603i | 0.00875319i | 0.999990 | + | 0.00437660i | \(0.00139312\pi\) | ||||
−0.999990 | + | 0.00437660i | \(0.998607\pi\) | |||||||
\(194\) | 9.52417 | + | 10.7783i | 0.683795 | + | 0.773834i | ||||
\(195\) | −1.16061 | + | 0.698474i | −0.0831129 | + | 0.0500187i | ||||
\(196\) | 1.15290 | − | 0.318225i | 0.0823502 | − | 0.0227303i | ||||
\(197\) | 19.3752 | + | 5.87739i | 1.38042 | + | 0.418747i | 0.891279 | − | 0.453456i | \(-0.149809\pi\) |
0.489144 | + | 0.872203i | \(0.337309\pi\) | |||||||
\(198\) | 10.2877 | + | 4.97973i | 0.731112 | + | 0.353894i | ||||
\(199\) | −3.84724 | + | 0.765263i | −0.272723 | + | 0.0542480i | −0.329557 | − | 0.944136i | \(-0.606899\pi\) |
0.0568339 | + | 0.998384i | \(0.481899\pi\) | |||||||
\(200\) | 9.61162 | − | 9.83080i | 0.679644 | − | 0.695142i | ||||
\(201\) | 21.0364 | + | 7.48444i | 1.48380 | + | 0.527911i | ||||
\(202\) | 18.4237 | − | 8.43125i | 1.29629 | − | 0.593221i | ||||
\(203\) | 1.29199 | + | 13.1178i | 0.0906797 | + | 0.920687i | ||||
\(204\) | 6.59831 | − | 0.169420i | 0.461974 | − | 0.0118618i | ||||
\(205\) | −0.877546 | + | 0.266201i | −0.0612905 | + | 0.0185923i | ||||
\(206\) | −0.398200 | − | 0.303179i | −0.0277439 | − | 0.0211235i | ||||
\(207\) | 20.0049 | − | 2.04277i | 1.39044 | − | 0.141982i | ||||
\(208\) | −0.400420 | − | 8.37850i | −0.0277642 | − | 0.580944i | ||||
\(209\) | 0.267005 | − | 0.644607i | 0.0184691 | − | 0.0445884i | ||||
\(210\) | −0.938413 | − | 2.33667i | −0.0647567 | − | 0.161246i | ||||
\(211\) | −9.13258 | − | 4.88147i | −0.628713 | − | 0.336054i | 0.126077 | − | 0.992020i | \(-0.459761\pi\) |
−0.754790 | + | 0.655966i | \(0.772261\pi\) | |||||||
\(212\) | −5.83149 | − | 0.147042i | −0.400509 | − | 0.0100989i | ||||
\(213\) | 18.9138 | + | 20.7932i | 1.29595 | + | 1.42472i | ||||
\(214\) | 10.0668 | − | 10.8295i | 0.688153 | − | 0.740289i | ||||
\(215\) | 2.93412 | − | 1.96052i | 0.200105 | − | 0.133706i | ||||
\(216\) | −14.5718 | − | 1.91412i | −0.991483 | − | 0.130239i | ||||
\(217\) | −1.74926 | + | 2.61795i | −0.118747 | + | 0.177718i | ||||
\(218\) | −0.781451 | + | 1.26727i | −0.0529265 | + | 0.0858303i | ||||
\(219\) | −2.13014 | + | 0.766489i | −0.143942 | + | 0.0517945i | ||||
\(220\) | −0.631578 | + | 1.90755i | −0.0425809 | + | 0.128607i | ||||
\(221\) | −0.391641 | + | 3.97640i | −0.0263446 | + | 0.267482i | ||||
\(222\) | 0.554499 | − | 0.810752i | 0.0372155 | − | 0.0544141i | ||||
\(223\) | −11.5367 | + | 11.5367i | −0.772556 | + | 0.772556i | −0.978553 | − | 0.205997i | \(-0.933956\pi\) |
0.205997 | + | 0.978553i | \(0.433956\pi\) | |||||||
\(224\) | 15.4949 | + | 1.74448i | 1.03530 | + | 0.116558i | ||||
\(225\) | 12.8361 | − | 6.92033i | 0.855740 | − | 0.461356i | ||||
\(226\) | 5.96721 | + | 17.3642i | 0.396933 | + | 1.15505i | ||||
\(227\) | 2.03508 | − | 20.6625i | 0.135073 | − | 1.37142i | −0.653710 | − | 0.756745i | \(-0.726788\pi\) |
0.788783 | − | 0.614672i | \(-0.210712\pi\) | |||||||
\(228\) | −0.0649922 | + | 0.894821i | −0.00430421 | + | 0.0592610i | ||||
\(229\) | −15.5397 | + | 8.30612i | −1.02689 | + | 0.548884i | −0.896715 | − | 0.442608i | \(-0.854053\pi\) |
−0.130174 | + | 0.991491i | \(0.541553\pi\) | |||||||
\(230\) | 0.815709 | + | 3.43989i | 0.0537863 | + | 0.226819i | ||||
\(231\) | −9.54544 | − | 8.62036i | −0.628044 | − | 0.567178i | ||||
\(232\) | −3.78008 | + | 12.9865i | −0.248174 | + | 0.852604i | ||||
\(233\) | −12.5532 | + | 8.38775i | −0.822385 | + | 0.549500i | −0.894070 | − | 0.447927i | \(-0.852162\pi\) |
0.0716852 | + | 0.997427i | \(0.477162\pi\) | |||||||
\(234\) | 2.23951 | − | 8.61041i | 0.146401 | − | 0.562880i | ||||
\(235\) | −1.94021 | + | 2.36415i | −0.126565 | + | 0.154220i | ||||
\(236\) | 6.12317 | − | 13.7889i | 0.398584 | − | 0.897578i | ||||
\(237\) | −19.3121 | − | 14.2692i | −1.25446 | − | 0.926887i | ||||
\(238\) | −7.18170 | − | 1.89544i | −0.465521 | − | 0.122863i | ||||
\(239\) | 1.14206 | − | 2.75718i | 0.0738738 | − | 0.178347i | −0.882629 | − | 0.470070i | \(-0.844229\pi\) |
0.956503 | + | 0.291723i | \(0.0942286\pi\) | |||||||
\(240\) | −0.00119067 | − | 2.58382i | −7.68574e−5 | − | 0.166785i | ||||
\(241\) | −3.38751 | − | 8.17816i | −0.218208 | − | 0.526802i | 0.776431 | − | 0.630202i | \(-0.217028\pi\) |
−0.994640 | + | 0.103400i | \(0.967028\pi\) | |||||||
\(242\) | −0.710562 | − | 5.24489i | −0.0456766 | − | 0.337154i | ||||
\(243\) | −14.1510 | − | 6.53832i | −0.907786 | − | 0.419433i | ||||
\(244\) | 6.50043 | − | 4.11029i | 0.416147 | − | 0.263134i | ||||
\(245\) | 0.0218600 | + | 0.221948i | 0.00139658 | + | 0.0141798i | ||||
\(246\) | 2.89653 | − | 5.28089i | 0.184676 | − | 0.336697i | ||||
\(247\) | −0.532677 | − | 0.105956i | −0.0338934 | − | 0.00674182i | ||||
\(248\) | −2.66591 | + | 1.82511i | −0.169285 | + | 0.115894i | ||||
\(249\) | 0.741919 | + | 14.5690i | 0.0470172 | + | 0.923274i | ||||
\(250\) | 3.04524 | + | 4.21607i | 0.192598 | + | 0.266648i | ||||
\(251\) | −14.1254 | − | 4.28488i | −0.891585 | − | 0.270459i | −0.188930 | − | 0.981991i | \(-0.560502\pi\) |
−0.702654 | + | 0.711531i | \(0.748002\pi\) | |||||||
\(252\) | 15.1393 | + | 6.65798i | 0.953689 | + | 0.419413i | ||||
\(253\) | 11.4556 | + | 13.9587i | 0.720206 | + | 0.877574i | ||||
\(254\) | −10.1051 | − | 0.624200i | −0.634051 | − | 0.0391658i | ||||
\(255\) | −0.178412 | + | 1.21780i | −0.0111726 | + | 0.0762615i | ||||
\(256\) | 14.0906 | + | 7.57992i | 0.880662 | + | 0.473745i | ||||
\(257\) | − | 19.2795i | − | 1.20262i | −0.799016 | − | 0.601310i | \(-0.794646\pi\) | ||
0.799016 | − | 0.601310i | \(-0.205354\pi\) | |||||||
\(258\) | −4.76720 | + | 22.6819i | −0.296793 | + | 1.41211i | ||||
\(259\) | −0.854428 | + | 0.701211i | −0.0530916 | + | 0.0435711i | ||||
\(260\) | 1.55224 | + | 0.192500i | 0.0962658 | + | 0.0119384i | ||||
\(261\) | −7.92732 | + | 11.9567i | −0.490689 | + | 0.740100i | ||||
\(262\) | −25.0982 | + | 18.1282i | −1.55057 | + | 1.11997i | ||||
\(263\) | 29.3684 | − | 5.84173i | 1.81093 | − | 0.360216i | 0.830490 | − | 0.557034i | \(-0.188061\pi\) |
0.980440 | + | 0.196817i | \(0.0630605\pi\) | |||||||
\(264\) | −5.79812 | − | 11.8558i | −0.356850 | − | 0.729674i | ||||
\(265\) | 0.212210 | − | 1.06685i | 0.0130359 | − | 0.0655360i | ||||
\(266\) | 0.352082 | − | 0.946228i | 0.0215875 | − | 0.0580170i | ||||
\(267\) | −15.5278 | − | 0.734926i | −0.950288 | − | 0.0449767i | ||||
\(268\) | −13.7790 | − | 21.7915i | −0.841687 | − | 1.33113i | ||||
\(269\) | −22.2595 | + | 6.75234i | −1.35718 | + | 0.411697i | −0.883266 | − | 0.468872i | \(-0.844661\pi\) |
−0.473918 | + | 0.880569i | \(0.657161\pi\) | |||||||
\(270\) | 0.814469 | − | 2.61673i | 0.0495670 | − | 0.159249i | ||||
\(271\) | 23.1343 | − | 9.58255i | 1.40531 | − | 0.582099i | 0.454186 | − | 0.890907i | \(-0.349930\pi\) |
0.951124 | + | 0.308808i | \(0.0999302\pi\) | |||||||
\(272\) | −6.11565 | − | 4.54832i | −0.370816 | − | 0.275782i | ||||
\(273\) | −5.13169 | + | 8.59662i | −0.310584 | + | 0.520291i | ||||
\(274\) | 3.22328 | − | 12.2128i | 0.194725 | − | 0.737803i | ||||
\(275\) | 11.5489 | + | 6.17299i | 0.696422 | + | 0.372246i | ||||
\(276\) | −19.6313 | − | 12.4004i | −1.18166 | − | 0.746417i | ||||
\(277\) | 17.7211 | + | 14.5434i | 1.06476 | + | 0.873826i | 0.992339 | − | 0.123548i | \(-0.0394272\pi\) |
0.0724220 | + | 0.997374i | \(0.476927\pi\) | |||||||
\(278\) | −24.1960 | + | 0.883122i | −1.45118 | + | 0.0529661i | ||||
\(279\) | −3.27564 | + | 1.00650i | −0.196107 | + | 0.0602574i | ||||
\(280\) | −0.812617 | + | 2.79175i | −0.0485631 | + | 0.166839i | ||||
\(281\) | −9.99728 | + | 14.9620i | −0.596387 | + | 0.892557i | −0.999747 | − | 0.0224846i | \(-0.992842\pi\) |
0.403360 | + | 0.915041i | \(0.367842\pi\) | |||||||
\(282\) | −1.75266 | − | 20.0108i | −0.104370 | − | 1.19163i | ||||
\(283\) | −0.167572 | − | 0.313506i | −0.00996114 | − | 0.0186360i | 0.876891 | − | 0.480688i | \(-0.159613\pi\) |
−0.886853 | + | 0.462052i | \(0.847113\pi\) | |||||||
\(284\) | −2.36612 | − | 32.3706i | −0.140403 | − | 1.92084i | ||||
\(285\) | −0.162357 | − | 0.0403590i | −0.00961718 | − | 0.00239066i | ||||
\(286\) | 7.55559 | − | 2.59648i | 0.446771 | − | 0.153533i | ||||
\(287\) | −4.79268 | + | 4.79268i | −0.282903 | + | 0.282903i | ||||
\(288\) | 11.8751 | + | 12.1236i | 0.699750 | + | 0.714388i | ||||
\(289\) | −9.45364 | − | 9.45364i | −0.556097 | − | 0.556097i | ||||
\(290\) | −2.26618 | − | 1.10699i | −0.133075 | − | 0.0650047i | ||||
\(291\) | 4.24968 | − | 17.0957i | 0.249120 | − | 1.00216i | ||||
\(292\) | 2.48159 | + | 0.821639i | 0.145224 | + | 0.0480828i | ||||
\(293\) | −14.7161 | + | 7.86591i | −0.859723 | + | 0.459531i | −0.841471 | − | 0.540302i | \(-0.818310\pi\) |
−0.0182515 | + | 0.999833i | \(0.505810\pi\) | |||||||
\(294\) | −1.12220 | − | 0.941455i | −0.0654482 | − | 0.0549068i | ||||
\(295\) | 2.33921 | + | 1.56301i | 0.136194 | + | 0.0910018i | ||||
\(296\) | −1.08157 | + | 0.341451i | −0.0628650 | + | 0.0198464i | ||||
\(297\) | −2.12842 | − | 13.8355i | −0.123504 | − | 0.802816i | ||||
\(298\) | −0.760263 | − | 0.706721i | −0.0440409 | − | 0.0409392i | ||||
\(299\) | 8.91718 | − | 10.8656i | 0.515694 | − | 0.628375i | ||||
\(300\) | −16.5940 | − | 2.86008i | −0.958057 | − | 0.165127i | ||||
\(301\) | 12.2949 | − | 23.0022i | 0.708669 | − | 1.32583i | ||||
\(302\) | 8.76980 | + | 15.0588i | 0.504645 | + | 0.866535i | ||||
\(303\) | −21.3073 | − | 12.7192i | −1.22407 | − | 0.730699i | ||||
\(304\) | 0.696739 | − | 0.766677i | 0.0399607 | − | 0.0439720i | ||||
\(305\) | 0.548818 | + | 1.32497i | 0.0314253 | + | 0.0758673i | ||||
\(306\) | −4.75682 | − | 6.53622i | −0.271929 | − | 0.373651i | ||||
\(307\) | −2.53920 | − | 8.37061i | −0.144920 | − | 0.477736i | 0.854188 | − | 0.519964i | \(-0.174055\pi\) |
−0.999108 | + | 0.0422276i | \(0.986555\pi\) | |||||||
\(308\) | 2.52930 | + | 14.6346i | 0.144120 | + | 0.833882i | ||||
\(309\) | −0.0289788 | + | 0.612276i | −0.00164854 | + | 0.0348312i | ||||
\(310\) | −0.250696 | − | 0.547813i | −0.0142386 | − | 0.0311137i | ||||
\(311\) | 8.69363 | + | 1.72927i | 0.492971 | + | 0.0980580i | 0.435314 | − | 0.900278i | \(-0.356637\pi\) |
0.0576564 | + | 0.998336i | \(0.481637\pi\) | |||||||
\(312\) | −8.17088 | + | 6.22705i | −0.462585 | + | 0.352537i | ||||
\(313\) | −3.78712 | − | 19.0392i | −0.214061 | − | 1.07616i | −0.927037 | − | 0.374969i | \(-0.877653\pi\) |
0.712977 | − | 0.701188i | \(-0.247347\pi\) | |||||||
\(314\) | −33.7721 | − | 5.44552i | −1.90587 | − | 0.307308i | ||||
\(315\) | −1.70416 | + | 2.57037i | −0.0960188 | + | 0.144824i | ||||
\(316\) | 7.37721 | + | 26.7271i | 0.415001 | + | 1.50351i | ||||
\(317\) | −8.05271 | − | 9.81226i | −0.452285 | − | 0.551111i | 0.496086 | − | 0.868273i | \(-0.334770\pi\) |
−0.948371 | + | 0.317162i | \(0.897270\pi\) | |||||||
\(318\) | 3.90474 | + | 5.98289i | 0.218967 | + | 0.335504i | ||||
\(319\) | −12.8824 | −0.721277 | ||||||||
\(320\) | −1.84026 | + | 2.34839i | −0.102874 | + | 0.131279i | ||||
\(321\) | −17.9175 | − | 2.62499i | −1.00006 | − | 0.146513i | ||||
\(322\) | 17.3021 | + | 19.5804i | 0.964209 | + | 1.09117i | ||||
\(323\) | −0.381468 | + | 0.313063i | −0.0212255 | + | 0.0174193i | ||||
\(324\) | 8.19744 | + | 16.0250i | 0.455413 | + | 0.890280i | ||||
\(325\) | 2.95899 | − | 9.75449i | 0.164135 | − | 0.541082i | ||||
\(326\) | −22.0755 | − | 3.55952i | −1.22265 | − | 0.197143i | ||||
\(327\) | 1.82109 | − | 0.0927378i | 0.100706 | − | 0.00512841i | ||||
\(328\) | −6.39505 | + | 2.73377i | −0.353108 | + | 0.150947i | ||||
\(329\) | −4.40995 | + | 22.1703i | −0.243129 | + | 1.22229i | ||||
\(330\) | 2.36260 | − | 0.688882i | 0.130057 | − | 0.0379217i | ||||
\(331\) | 5.27492 | − | 0.519534i | 0.289936 | − | 0.0285562i | 0.0479963 | − | 0.998848i | \(-0.484716\pi\) |
0.241940 | + | 0.970291i | \(0.422216\pi\) | |||||||
\(332\) | 9.70846 | − | 13.7655i | 0.532821 | − | 0.755478i | ||||
\(333\) | −1.20298 | + | 0.00431415i | −0.0659230 | + | 0.000236414i | ||||
\(334\) | −9.45983 | − | 7.20247i | −0.517619 | − | 0.394101i | ||||
\(335\) | 4.44171 | − | 1.83982i | 0.242676 | − | 0.100520i | ||||
\(336\) | −9.01013 | − | 16.8381i | −0.491543 | − | 0.918594i | ||||
\(337\) | −5.47221 | − | 2.26666i | −0.298090 | − | 0.123473i | 0.228626 | − | 0.973514i | \(-0.426577\pi\) |
−0.526716 | + | 0.850041i | \(0.676577\pi\) | |||||||
\(338\) | 6.12245 | + | 10.5130i | 0.333017 | + | 0.571830i | ||||
\(339\) | 13.3633 | − | 18.0861i | 0.725797 | − | 0.982300i | ||||
\(340\) | 1.02996 | − | 0.979292i | 0.0558572 | − | 0.0531095i | ||||
\(341\) | −2.37871 | − | 1.95216i | −0.128815 | − | 0.105715i | ||||
\(342\) | 0.947541 | − | 0.556381i | 0.0512372 | − | 0.0300856i | ||||
\(343\) | −9.80402 | − | 14.6727i | −0.529367 | − | 0.792254i | ||||
\(344\) | 20.4954 | − | 17.2104i | 1.10504 | − | 0.927923i | ||||
\(345\) | 2.90197 | − | 3.21339i | 0.156237 | − | 0.173003i | ||||
\(346\) | −7.82787 | + | 12.6944i | −0.420829 | + | 0.682453i | ||||
\(347\) | −6.08886 | − | 11.3914i | −0.326867 | − | 0.611525i | 0.663787 | − | 0.747921i | \(-0.268948\pi\) |
−0.990654 | + | 0.136396i | \(0.956448\pi\) | |||||||
\(348\) | 15.7233 | − | 5.21393i | 0.842856 | − | 0.279496i | ||||
\(349\) | 3.66973 | + | 0.361437i | 0.196436 | + | 0.0193473i | 0.195757 | − | 0.980653i | \(-0.437284\pi\) |
0.000679442 | 1.00000i | \(0.499784\pi\) | ||||||||
\(350\) | 17.0261 | + | 8.31694i | 0.910082 | + | 0.444559i | ||||
\(351\) | −10.2396 | + | 3.72603i | −0.546547 | + | 0.198881i | ||||
\(352\) | −3.18107 | + | 14.9036i | −0.169551 | + | 0.794367i | ||||
\(353\) | 4.29191 | + | 4.29191i | 0.228435 | + | 0.228435i | 0.812039 | − | 0.583604i | \(-0.198358\pi\) |
−0.583604 | + | 0.812039i | \(0.698358\pi\) | |||||||
\(354\) | −18.1609 | + | 3.40874i | −0.965242 | + | 0.181172i | ||||
\(355\) | 6.02313 | + | 0.593227i | 0.319675 | + | 0.0314852i | ||||
\(356\) | 13.5841 | + | 11.7336i | 0.719958 | + | 0.621877i | ||||
\(357\) | 3.08002 | + | 8.55966i | 0.163012 | + | 0.453025i | ||||
\(358\) | 7.00106 | + | 29.5238i | 0.370018 | + | 1.56038i | ||||
\(359\) | −11.7902 | − | 7.87797i | −0.622264 | − | 0.415783i | 0.204076 | − | 0.978955i | \(-0.434581\pi\) |
−0.826340 | + | 0.563172i | \(0.809581\pi\) | |||||||
\(360\) | −2.60479 | + | 1.79701i | −0.137284 | + | 0.0947109i | ||||
\(361\) | 10.5186 | + | 15.7421i | 0.553609 | + | 0.828534i | ||||
\(362\) | −13.1095 | + | 0.478480i | −0.689021 | + | 0.0251484i | ||||
\(363\) | −4.79528 | + | 4.36187i | −0.251687 | + | 0.228939i | ||||
\(364\) | 10.7888 | − | 4.15343i | 0.565484 | − | 0.217699i | ||||
\(365\) | −0.229781 | + | 0.429891i | −0.0120273 | + | 0.0225015i | ||||
\(366\) | −8.66291 | − | 3.69853i | −0.452818 | − | 0.193325i | ||||
\(367\) | 5.13302 | + | 2.12617i | 0.267942 | + | 0.110985i | 0.512609 | − | 0.858622i | \(-0.328679\pi\) |
−0.244668 | + | 0.969607i | \(0.578679\pi\) | |||||||
\(368\) | 8.99901 | + | 25.2566i | 0.469106 | + | 1.31659i | ||||
\(369\) | −7.33859 | + | 0.749370i | −0.382032 | + | 0.0390107i | ||||
\(370\) | −0.0283931 | − | 0.209579i | −0.00147609 | − | 0.0108955i | ||||
\(371\) | −2.33379 | − | 7.69348i | −0.121164 | − | 0.399425i | ||||
\(372\) | 3.69337 | + | 1.41991i | 0.191492 | + | 0.0736189i | ||||
\(373\) | 25.4972 | − | 2.51125i | 1.32019 | − | 0.130028i | 0.586744 | − | 0.809772i | \(-0.300409\pi\) |
0.733449 | + | 0.679745i | \(0.237909\pi\) | |||||||
\(374\) | 2.53152 | − | 6.80353i | 0.130902 | − | 0.351802i | ||||
\(375\) | 2.13513 | − | 6.00119i | 0.110258 | − | 0.309900i | ||||
\(376\) | −12.6682 | + | 19.4299i | −0.653313 | + | 1.00202i | ||||
\(377\) | 1.95634 | + | 9.83517i | 0.100756 | + | 0.506537i | ||||
\(378\) | −3.80804 | − | 19.8945i | −0.195864 | − | 1.02326i | ||||
\(379\) | 3.65568 | − | 12.0512i | 0.187780 | − | 0.619027i | −0.811614 | − | 0.584195i | \(-0.801410\pi\) |
0.999393 | − | 0.0348319i | \(-0.0110896\pi\) | |||||||
\(380\) | 0.118748 | + | 0.152371i | 0.00609166 | + | 0.00781647i | ||||
\(381\) | 6.39382 | + | 10.6242i | 0.327565 | + | 0.544294i | ||||
\(382\) | 17.4237 | + | 1.07627i | 0.891474 | + | 0.0550670i | ||||
\(383\) | 13.4559 | 0.687564 | 0.343782 | − | 0.939050i | \(-0.388292\pi\) | ||||
0.343782 | + | 0.939050i | \(0.388292\pi\) | |||||||
\(384\) | −2.14942 | − | 19.4777i | −0.109687 | − | 0.993966i | ||||
\(385\) | −2.76938 | −0.141141 | ||||||||
\(386\) | −0.171646 | − | 0.0106027i | −0.00873654 | − | 0.000539662i | ||||
\(387\) | 26.1865 | − | 10.9570i | 1.33114 | − | 0.556976i | ||||
\(388\) | −16.0442 | + | 12.5038i | −0.814520 | + | 0.634785i | ||||
\(389\) | −3.30844 | + | 10.9065i | −0.167745 | + | 0.552980i | −0.999999 | − | 0.00141426i | \(-0.999550\pi\) |
0.832254 | + | 0.554394i | \(0.187050\pi\) | |||||||
\(390\) | −0.884718 | − | 1.69913i | −0.0447994 | − | 0.0860386i | ||||
\(391\) | −2.49165 | − | 12.5264i | −0.126008 | − | 0.633487i | ||||
\(392\) | 0.348659 | + | 1.65510i | 0.0176099 | + | 0.0835949i | ||||
\(393\) | 35.7250 | + | 12.7104i | 1.80209 | + | 0.641155i | ||||
\(394\) | −9.98541 | + | 26.8360i | −0.503058 | + | 1.35198i | ||||
\(395\) | −5.14530 | + | 0.506767i | −0.258888 | + | 0.0254982i | ||||
\(396\) | −7.92599 | + | 14.0871i | −0.398296 | + | 0.707903i | ||||
\(397\) | −3.77582 | − | 12.4472i | −0.189503 | − | 0.624707i | −0.999279 | − | 0.0379683i | \(-0.987911\pi\) |
0.809776 | − | 0.586739i | \(-0.199589\pi\) | |||||||
\(398\) | −0.744743 | − | 5.49719i | −0.0373306 | − | 0.275549i | ||||
\(399\) | −1.19892 | + | 0.302598i | −0.0600209 | + | 0.0151489i | ||||
\(400\) | 13.0384 | + | 14.4242i | 0.651918 | + | 0.721209i | ||||
\(401\) | −29.6077 | − | 12.2639i | −1.47854 | − | 0.612430i | −0.509750 | − | 0.860322i | \(-0.670262\pi\) |
−0.968788 | + | 0.247892i | \(0.920262\pi\) | |||||||
\(402\) | −12.3986 | + | 29.0409i | −0.618388 | + | 1.44843i | ||||
\(403\) | −1.12916 | + | 2.11250i | −0.0562472 | + | 0.105231i | ||||
\(404\) | 10.2945 | + | 26.7406i | 0.512172 | + | 1.33039i | ||||
\(405\) | −3.20488 | + | 0.997346i | −0.159252 | + | 0.0495585i | ||||
\(406\) | −18.6287 | + | 0.679922i | −0.924526 | + | 0.0337440i | ||||
\(407\) | −0.600165 | − | 0.898210i | −0.0297491 | − | 0.0445226i | ||||
\(408\) | −0.336171 | + | 9.32843i | −0.0166429 | + | 0.461826i | ||||
\(409\) | −33.1912 | − | 22.1777i | −1.64120 | − | 1.09661i | −0.910139 | − | 0.414303i | \(-0.864025\pi\) |
−0.731061 | − | 0.682312i | \(-0.760975\pi\) | |||||||
\(410\) | −0.299235 | − | 1.26189i | −0.0147781 | − | 0.0623202i | ||||
\(411\) | −14.5561 | + | 5.23771i | −0.717999 | + | 0.258357i | ||||
\(412\) | 0.462664 | − | 0.535634i | 0.0227938 | − | 0.0263888i | ||||
\(413\) | 20.6935 | + | 2.03813i | 1.01826 | + | 0.100290i | ||||
\(414\) | 1.13918 | + | 28.4155i | 0.0559876 | + | 1.39654i | ||||
\(415\) | 2.22105 | + | 2.22105i | 0.109027 | + | 0.109027i | ||||
\(416\) | 11.8614 | + | 0.165325i | 0.581551 | + | 0.00810571i | ||||
\(417\) | 17.7074 | + | 23.7863i | 0.867133 | + | 1.16482i | ||||
\(418\) | 0.886597 | + | 0.433087i | 0.0433649 | + | 0.0211830i | ||||
\(419\) | 17.7281 | + | 1.74607i | 0.866074 | + | 0.0853009i | 0.521288 | − | 0.853381i | \(-0.325452\pi\) |
0.344786 | + | 0.938681i | \(0.387952\pi\) | |||||||
\(420\) | 3.38009 | − | 1.12086i | 0.164931 | − | 0.0546922i | ||||
\(421\) | −6.86636 | − | 12.8461i | −0.334646 | − | 0.626078i | 0.657172 | − | 0.753741i | \(-0.271753\pi\) |
−0.991818 | + | 0.127662i | \(0.959253\pi\) | |||||||
\(422\) | 7.68658 | − | 12.4652i | 0.374177 | − | 0.606798i | ||||
\(423\) | −18.9615 | + | 15.6754i | −0.921939 | + | 0.762165i | ||||
\(424\) | 0.716006 | − | 8.21847i | 0.0347723 | − | 0.399124i | ||||
\(425\) | −5.14567 | − | 7.70104i | −0.249602 | − | 0.373555i | ||||
\(426\) | −30.9991 | + | 24.8843i | −1.50191 | + | 1.20565i | ||||
\(427\) | 8.19375 | + | 6.72444i | 0.396524 | + | 0.325418i | ||||
\(428\) | 14.4084 | + | 15.1538i | 0.696454 | + | 0.732485i | ||||
\(429\) | −7.86969 | − | 5.81472i | −0.379952 | − | 0.280737i | ||||
\(430\) | 2.51149 | + | 4.31252i | 0.121115 | + | 0.207968i | ||||
\(431\) | −10.1463 | − | 4.20273i | −0.488730 | − | 0.202439i | 0.124690 | − | 0.992196i | \(-0.460206\pi\) |
−0.613420 | + | 0.789757i | \(0.710206\pi\) | |||||||
\(432\) | 3.97234 | − | 20.4015i | 0.191119 | − | 0.981567i | ||||
\(433\) | −23.7443 | + | 9.83520i | −1.14108 | + | 0.472649i | −0.871532 | − | 0.490339i | \(-0.836873\pi\) |
−0.269544 | + | 0.962988i | \(0.586873\pi\) | |||||||
\(434\) | −3.54278 | − | 2.69738i | −0.170059 | − | 0.129478i | ||||
\(435\) | 0.458719 | + | 3.05468i | 0.0219939 | + | 0.146461i | ||||
\(436\) | −1.72065 | − | 1.21353i | −0.0824040 | − | 0.0581176i | ||||
\(437\) | 1.72766 | − | 0.170160i | 0.0826454 | − | 0.00813986i | ||||
\(438\) | −0.896188 | − | 3.07358i | −0.0428215 | − | 0.146861i | ||||
\(439\) | 5.12099 | − | 25.7450i | 0.244412 | − | 1.22874i | −0.642313 | − | 0.766442i | \(-0.722025\pi\) |
0.886725 | − | 0.462298i | \(-0.152975\pi\) | |||||||
\(440\) | −2.63748 | − | 1.05781i | −0.125737 | − | 0.0504290i | ||||
\(441\) | −0.169441 | + | 1.78600i | −0.00806862 | + | 0.0850478i | ||||
\(442\) | −5.57863 | − | 0.899516i | −0.265349 | − | 0.0427856i | ||||
\(443\) | −0.438378 | + | 1.44514i | −0.0208280 | + | 0.0686606i | −0.966738 | − | 0.255767i | \(-0.917672\pi\) |
0.945910 | + | 0.324428i | \(0.105172\pi\) | |||||||
\(444\) | 1.09605 | + | 0.853378i | 0.0520161 | + | 0.0404996i | ||||
\(445\) | −2.58740 | + | 2.12342i | −0.122654 | + | 0.100660i | ||||
\(446\) | −15.2784 | − | 17.2902i | −0.723455 | − | 0.818716i | ||||
\(447\) | −0.184282 | + | 1.25786i | −0.00871624 | + | 0.0594949i | ||||
\(448\) | −3.81339 | + | 21.7194i | −0.180166 | + | 1.02614i | ||||
\(449\) | −9.14110 | −0.431395 | −0.215698 | − | 0.976460i | \(-0.569203\pi\) | ||||
−0.215698 | + | 0.976460i | \(0.569203\pi\) | |||||||
\(450\) | 8.64902 | + | 18.7218i | 0.407719 | + | 0.882556i | ||||
\(451\) | −4.20236 | − | 5.12060i | −0.197882 | − | 0.241119i | ||||
\(452\) | −25.0302 | + | 6.90885i | −1.17732 | + | 0.324965i | ||||
\(453\) | 9.09060 | − | 19.3100i | 0.427114 | − | 0.907262i | ||||
\(454\) | 28.9881 | + | 4.67414i | 1.36048 | + | 0.219368i | ||||
\(455\) | 0.420561 | + | 2.11430i | 0.0197162 | + | 0.0991199i | ||||
\(456\) | −1.25739 | − | 0.169758i | −0.0588829 | − | 0.00794965i | ||||
\(457\) | 2.52647 | + | 0.502547i | 0.118183 | + | 0.0235082i | 0.253828 | − | 0.967249i | \(-0.418310\pi\) |
−0.135644 | + | 0.990758i | \(0.543310\pi\) | |||||||
\(458\) | −10.3694 | − | 22.6588i | −0.484529 | − | 1.05878i | ||||
\(459\) | −3.28526 | + | 9.33977i | −0.153343 | + | 0.435943i | ||||
\(460\) | −4.92660 | + | 0.851466i | −0.229704 | + | 0.0396998i | ||||
\(461\) | −10.0193 | − | 33.0290i | −0.466643 | − | 1.53832i | −0.802646 | − | 0.596455i | \(-0.796575\pi\) |
0.336003 | − | 0.941861i | \(-0.390925\pi\) | |||||||
\(462\) | 13.0001 | − | 12.7220i | 0.604820 | − | 0.591881i | ||||
\(463\) | −6.93657 | − | 16.7464i | −0.322370 | − | 0.778270i | −0.999115 | − | 0.0420526i | \(-0.986610\pi\) |
0.676746 | − | 0.736217i | \(-0.263390\pi\) | |||||||
\(464\) | −18.0011 | − | 6.46797i | −0.835681 | − | 0.300268i | ||||
\(465\) | −0.378195 | + | 0.633553i | −0.0175384 | + | 0.0293803i | ||||
\(466\) | −10.7450 | − | 18.4504i | −0.497752 | − | 0.854699i | ||||
\(467\) | −16.5441 | + | 30.9518i | −0.765569 | + | 1.43228i | 0.131929 | + | 0.991259i | \(0.457883\pi\) |
−0.897498 | + | 0.441019i | \(0.854617\pi\) | |||||||
\(468\) | 11.9585 | + | 3.91187i | 0.552783 | + | 0.180826i | ||||
\(469\) | 22.5425 | − | 27.4681i | 1.04091 | − | 1.26836i | ||||
\(470\) | −3.16789 | − | 2.94478i | −0.146124 | − | 0.135833i | ||||
\(471\) | 17.9809 | + | 37.8418i | 0.828517 | + | 1.74366i | ||||
\(472\) | 18.9294 | + | 9.84526i | 0.871296 | + | 0.453165i | ||||
\(473\) | 21.1947 | + | 14.1619i | 0.974534 | + | 0.651163i | ||||
\(474\) | 21.8252 | − | 26.0154i | 1.00246 | − | 1.19493i | ||||
\(475\) | 1.11029 | − | 0.593462i | 0.0509436 | − | 0.0272299i | ||||
\(476\) | 3.30163 | − | 9.97188i | 0.151330 | − | 0.457060i | ||||
\(477\) | 3.31948 | − | 8.09592i | 0.151988 | − | 0.370687i | ||||
\(478\) | 3.79225 | + | 1.85245i | 0.173453 | + | 0.0847289i | ||||
\(479\) | −23.6036 | − | 23.6036i | −1.07847 | − | 1.07847i | −0.996646 | − | 0.0818282i | \(-0.973924\pi\) |
−0.0818282 | − | 0.996646i | \(-0.526076\pi\) | |||||||
\(480\) | 3.64722 | + | 0.223604i | 0.166472 | + | 0.0102061i | ||||
\(481\) | −0.594603 | + | 0.594603i | −0.0271115 | + | 0.0271115i | ||||
\(482\) | 11.8390 | − | 4.06848i | 0.539253 | − | 0.185314i | ||||
\(483\) | 7.72019 | − | 31.0569i | 0.351281 | − | 1.41314i | ||||
\(484\) | 7.46523 | − | 0.545669i | 0.339329 | − | 0.0248031i | ||||
\(485\) | −1.78802 | − | 3.34515i | −0.0811899 | − | 0.151896i | ||||
\(486\) | 10.4628 | − | 19.4044i | 0.474603 | − | 0.880200i | ||||
\(487\) | −15.0021 | + | 22.4522i | −0.679809 | + | 1.01741i | 0.317791 | + | 0.948161i | \(0.397059\pi\) |
−0.997600 | + | 0.0692453i | \(0.977941\pi\) | |||||||
\(488\) | 5.23499 | + | 9.53389i | 0.236977 | + | 0.431579i | ||||
\(489\) | 11.7534 | + | 24.7356i | 0.531508 | + | 1.11858i | ||||
\(490\) | −0.315191 | + | 0.0115041i | −0.0142389 | + | 0.000519700i | ||||
\(491\) | −31.5391 | − | 25.8835i | −1.42334 | − | 1.16811i | −0.959334 | − | 0.282273i | \(-0.908912\pi\) |
−0.464006 | − | 0.885832i | \(-0.653588\pi\) | |||||||
\(492\) | 7.20154 | + | 4.54896i | 0.324671 | + | 0.205083i | ||||
\(493\) | 8.03565 | + | 4.29515i | 0.361908 | + | 0.193444i | ||||
\(494\) | 0.196004 | − | 0.742647i | 0.00881863 | − | 0.0334133i | ||||
\(495\) | −2.33675 | − | 1.90374i | −0.105029 | − | 0.0855668i | ||||
\(496\) | −2.34374 | − | 3.92213i | −0.105237 | − | 0.176109i | ||||
\(497\) | 41.3278 | − | 17.1185i | 1.85381 | − | 0.767871i | ||||
\(498\) | −20.6292 | − | 0.223048i | −0.924416 | − | 0.00999501i | ||||
\(499\) | −36.6873 | + | 11.1290i | −1.64235 | + | 0.498201i | −0.970218 | − | 0.242233i | \(-0.922120\pi\) |
−0.672129 | + | 0.740434i | \(0.734620\pi\) | |||||||
\(500\) | −6.21660 | + | 3.93082i | −0.278015 | + | 0.175792i | ||||
\(501\) | −0.688433 | + | 14.5455i | −0.0307569 | + | 0.649845i | ||||
\(502\) | 7.27981 | − | 19.5647i | 0.324914 | − | 0.873214i | ||||
\(503\) | −3.90911 | + | 19.6524i | −0.174299 | + | 0.876259i | 0.790337 | + | 0.612673i | \(0.209906\pi\) |
−0.964636 | + | 0.263587i | \(0.915094\pi\) | |||||||
\(504\) | −10.7179 | + | 20.7890i | −0.477413 | + | 0.926016i | ||||
\(505\) | −5.24043 | + | 1.04239i | −0.233196 | + | 0.0463855i | ||||
\(506\) | −20.7018 | + | 14.9528i | −0.920307 | + | 0.664731i | ||||
\(507\) | 6.34642 | − | 13.4809i | 0.281854 | − | 0.598706i | ||||
\(508\) | 1.76214 | − | 14.2092i | 0.0781825 | − | 0.630430i | ||||
\(509\) | −4.87291 | + | 3.99910i | −0.215988 | + | 0.177257i | −0.736166 | − | 0.676801i | \(-0.763366\pi\) |
0.520178 | + | 0.854058i | \(0.325866\pi\) | |||||||
\(510\) | −1.70340 | − | 0.358014i | −0.0754276 | − | 0.0158531i | ||||
\(511\) | 3.60277i | 0.159377i | ||||||||
\(512\) | −11.9278 | + | 19.2283i | −0.527139 | + | 0.849779i | ||||
\(513\) | −1.21964 | − | 0.568837i | −0.0538483 | − | 0.0251148i | ||||
\(514\) | 27.2134 | + | 1.68099i | 1.20033 | + | 0.0741453i | ||||
\(515\) | 0.0837284 | + | 0.102023i | 0.00368951 | + | 0.00449568i | ||||
\(516\) | −31.6004 | − | 8.70667i | −1.39113 | − | 0.383290i | ||||
\(517\) | −21.1410 | − | 6.41304i | −0.929778 | − | 0.282045i | ||||
\(518\) | −0.915277 | − | 1.26718i | −0.0402150 | − | 0.0556769i | ||||
\(519\) | 18.2420 | − | 0.928963i | 0.800734 | − | 0.0407769i | ||||
\(520\) | −0.407060 | + | 2.17424i | −0.0178507 | + | 0.0953466i | ||||
\(521\) | 43.5875 | + | 8.67009i | 1.90960 | + | 0.379844i | 0.999410 | − | 0.0343404i | \(-0.0109330\pi\) |
0.910193 | + | 0.414184i | \(0.135933\pi\) | |||||||
\(522\) | −16.1859 | − | 12.2321i | −0.708440 | − | 0.535385i | ||||
\(523\) | 0.457274 | + | 4.64278i | 0.0199952 | + | 0.203015i | 0.999992 | + | 0.00400144i | \(0.00127370\pi\) |
−0.979997 | + | 0.199013i | \(0.936226\pi\) | |||||||
\(524\) | −23.4001 | − | 37.0073i | −1.02224 | − | 1.61667i | ||||
\(525\) | −3.44641 | − | 22.9502i | −0.150413 | − | 1.00163i | ||||
\(526\) | 5.68509 | + | 41.9635i | 0.247882 | + | 1.82969i | ||||
\(527\) | 0.832895 | + | 2.01079i | 0.0362815 | + | 0.0875912i | ||||
\(528\) | 17.2403 | − | 7.15047i | 0.750287 | − | 0.311184i | ||||
\(529\) | −8.39217 | + | 20.2605i | −0.364877 | + | 0.880891i | ||||
\(530\) | 1.48738 | + | 0.392558i | 0.0646077 | + | 0.0170516i | ||||
\(531\) | 16.0597 | + | 15.9450i | 0.696934 | + | 0.691953i | ||||
\(532\) | 1.30493 | + | 0.579474i | 0.0565757 | + | 0.0251234i | ||||
\(533\) | −3.27118 | + | 3.98594i | −0.141690 | + | 0.172650i | ||||
\(534\) | 2.39125 | − | 21.8538i | 0.103479 | − | 0.945707i | ||||
\(535\) | −3.24203 | + | 2.16625i | −0.140165 | + | 0.0936553i | ||||
\(536\) | 31.9606 | − | 17.5494i | 1.38049 | − | 0.758017i | ||||
\(537\) | 24.9070 | − | 27.5799i | 1.07482 | − | 1.19016i | ||||
\(538\) | −7.59026 | − | 32.0085i | −0.327239 | − | 1.37998i | ||||
\(539\) | −1.42078 | + | 0.759424i | −0.0611974 | + | 0.0327107i | ||||
\(540\) | 3.62256 | + | 1.37780i | 0.155890 | + | 0.0592909i | ||||
\(541\) | 3.64548 | − | 37.0132i | 0.156731 | − | 1.59132i | −0.519395 | − | 0.854535i | \(-0.673842\pi\) |
0.676126 | − | 0.736786i | \(-0.263658\pi\) | |||||||
\(542\) | 11.5089 | + | 33.4901i | 0.494349 | + | 1.43853i | ||||
\(543\) | 9.59393 | + | 12.8876i | 0.411715 | + | 0.553058i | ||||
\(544\) | 6.95329 | − | 8.23582i | 0.298120 | − | 0.353108i | ||||
\(545\) | 0.277625 | − | 0.277625i | 0.0118922 | − | 0.0118922i | ||||
\(546\) | −11.6869 | − | 7.99304i | −0.500153 | − | 0.342071i | ||||
\(547\) | 0.619843 | − | 6.29337i | 0.0265026 | − | 0.269085i | −0.972797 | − | 0.231660i | \(-0.925584\pi\) |
0.999299 | − | 0.0374254i | \(-0.0119156\pi\) | |||||||
\(548\) | 16.9576 | + | 5.61458i | 0.724394 | + | 0.239843i | ||||
\(549\) | 2.29120 | + | 11.3066i | 0.0977858 | + | 0.482552i | ||||
\(550\) | −9.72028 | + | 15.7633i | −0.414474 | + | 0.672147i | ||||
\(551\) | −0.688072 | + | 1.02977i | −0.0293128 | + | 0.0438698i | ||||
\(552\) | 19.2151 | − | 26.6288i | 0.817850 | − | 1.13340i | ||||
\(553\) | −31.7732 | + | 21.2302i | −1.35114 | + | 0.902800i | ||||
\(554\) | −22.0734 | + | 23.7458i | −0.937810 | + | 1.00886i | ||||
\(555\) | −0.191613 | + | 0.174295i | −0.00813352 | + | 0.00739840i | ||||
\(556\) | 0.863121 | − | 34.2302i | 0.0366045 | − | 1.45169i | ||||
\(557\) | 21.8444 | + | 11.6761i | 0.925575 | + | 0.494730i | 0.864067 | − | 0.503376i | \(-0.167909\pi\) |
0.0615080 | + | 0.998107i | \(0.480409\pi\) | |||||||
\(558\) | −1.13509 | − | 4.71140i | −0.0480521 | − | 0.199449i | ||||
\(559\) | 7.59331 | − | 18.3319i | 0.321163 | − | 0.775356i | ||||
\(560\) | −3.86976 | − | 1.39044i | −0.163527 | − | 0.0587569i | ||||
\(561\) | −8.62039 | + | 2.17573i | −0.363953 | + | 0.0918593i | ||||
\(562\) | −20.2475 | − | 15.4159i | −0.854090 | − | 0.650282i | ||||
\(563\) | −2.33309 | + | 0.707736i | −0.0983281 | + | 0.0298275i | −0.339065 | − | 0.940763i | \(-0.610111\pi\) |
0.240737 | + | 0.970590i | \(0.422611\pi\) | |||||||
\(564\) | 28.3985 | − | 0.729169i | 1.19579 | − | 0.0307036i | ||||
\(565\) | −0.474594 | − | 4.81864i | −0.0199663 | − | 0.202722i | ||||
\(566\) | 0.457132 | − | 0.209197i | 0.0192147 | − | 0.00879323i | ||||
\(567\) | −17.4157 | + | 17.6673i | −0.731389 | + | 0.741957i | ||||
\(568\) | 45.8981 | − | 0.517414i | 1.92584 | − | 0.0217102i | ||||
\(569\) | −40.7388 | + | 8.10345i | −1.70786 | + | 0.339714i | −0.949892 | − | 0.312578i | \(-0.898807\pi\) |
−0.757967 | + | 0.652293i | \(0.773807\pi\) | |||||||
\(570\) | 0.0711237 | − | 0.225651i | 0.00297904 | − | 0.00945150i | ||||
\(571\) | −18.2305 | − | 5.53016i | −0.762922 | − | 0.231430i | −0.115237 | − | 0.993338i | \(-0.536763\pi\) |
−0.647685 | + | 0.761908i | \(0.724263\pi\) | |||||||
\(572\) | 3.00621 | + | 10.8913i | 0.125696 | + | 0.455387i | ||||
\(573\) | −11.0245 | − | 18.3187i | −0.460556 | − | 0.765276i | ||||
\(574\) | −6.34711 | − | 7.18286i | −0.264923 | − | 0.299807i | ||||
\(575\) | 32.5826i | 1.35879i | ||||||||
\(576\) | −18.1481 | + | 15.7050i | −0.756171 | + | 0.654374i | ||||
\(577\) | − | 9.77993i | − | 0.407144i | −0.979060 | − | 0.203572i | \(-0.934745\pi\) | ||
0.979060 | − | 0.203572i | \(-0.0652551\pi\) | |||||||
\(578\) | 14.1683 | − | 12.5198i | 0.589324 | − | 0.520754i | ||||
\(579\) | 0.108606 | + | 0.180463i | 0.00451349 | + | 0.00749978i | ||||
\(580\) | 1.76013 | − | 3.10225i | 0.0730855 | − | 0.128814i | ||||
\(581\) | 22.2160 | + | 6.73916i | 0.921677 | + | 0.279588i | ||||
\(582\) | 23.7604 | + | 7.48910i | 0.984899 | + | 0.310433i | ||||
\(583\) | 7.70643 | − | 1.53290i | 0.319168 | − | 0.0634864i | ||||
\(584\) | −1.37613 | + | 3.43118i | −0.0569448 | + | 0.141983i | ||||
\(585\) | −1.09856 | + | 2.07311i | −0.0454199 | + | 0.0857127i | ||||
\(586\) | −9.81981 | − | 21.4579i | −0.405652 | − | 0.886419i | ||||
\(587\) | 2.07768 | + | 21.0951i | 0.0857551 | + | 0.870686i | 0.937790 | + | 0.347202i | \(0.112868\pi\) |
−0.852035 | + | 0.523484i | \(0.824632\pi\) | |||||||
\(588\) | 1.42673 | − | 1.50193i | 0.0588374 | − | 0.0619385i | ||||
\(589\) | −0.283099 | + | 0.0858772i | −0.0116649 | + | 0.00353851i | ||||
\(590\) | −2.41018 | + | 3.16556i | −0.0992254 | + | 0.130324i | ||||
\(591\) | 34.0025 | − | 8.58201i | 1.39868 | − | 0.353017i | ||||
\(592\) | −0.387663 | − | 1.55643i | −0.0159329 | − | 0.0639690i | ||||
\(593\) | 0.328406 | − | 0.792842i | 0.0134860 | − | 0.0325581i | −0.916993 | − | 0.398903i | \(-0.869391\pi\) |
0.930479 | + | 0.366345i | \(0.119391\pi\) | |||||||
\(594\) | 19.7147 | − | 1.79799i | 0.808903 | − | 0.0737725i | ||||
\(595\) | 1.72745 | + | 0.923342i | 0.0708186 | + | 0.0378533i | ||||
\(596\) | 1.06384 | − | 1.01151i | 0.0435766 | − | 0.0414331i | ||||
\(597\) | −5.02595 | + | 4.57170i | −0.205698 | + | 0.187107i | ||||
\(598\) | 14.5596 | + | 13.5342i | 0.595385 | + | 0.553454i | ||||
\(599\) | 26.9981 | − | 18.0396i | 1.10311 | − | 0.737076i | 0.135818 | − | 0.990734i | \(-0.456634\pi\) |
0.967294 | + | 0.253658i | \(0.0816337\pi\) | |||||||
\(600\) | 5.48391 | − | 23.1735i | 0.223880 | − | 0.946054i | ||||
\(601\) | 12.1286 | − | 18.1517i | 0.494734 | − | 0.740422i | −0.497137 | − | 0.867672i | \(-0.665615\pi\) |
0.991871 | + | 0.127251i | \(0.0406152\pi\) | |||||||
\(602\) | 31.3962 | + | 19.3602i | 1.27961 | + | 0.789062i | ||||
\(603\) | 37.9032 | − | 7.68082i | 1.54354 | − | 0.312787i | ||||
\(604\) | −22.0205 | + | 11.0658i | −0.896000 | + | 0.450260i | ||||
\(605\) | −0.136809 | + | 1.38904i | −0.00556207 | + | 0.0564726i | ||||
\(606\) | 19.8112 | − | 28.9667i | 0.804777 | − | 1.17669i | ||||
\(607\) | −15.8671 | + | 15.8671i | −0.644025 | + | 0.644025i | −0.951542 | − | 0.307518i | \(-0.900502\pi\) |
0.307518 | + | 0.951542i | \(0.400502\pi\) | |||||||
\(608\) | 1.02143 | + | 1.05031i | 0.0414246 | + | 0.0425957i | ||||
\(609\) | 13.6330 | + | 18.3133i | 0.552438 | + | 0.742091i | ||||
\(610\) | −1.91807 | + | 0.659145i | −0.0776604 | + | 0.0266880i | ||||
\(611\) | −1.68559 | + | 17.1141i | −0.0681917 | + | 0.692362i | ||||
\(612\) | 9.64077 | − | 6.14447i | 0.389705 | − | 0.248375i | ||||
\(613\) | 6.71647 | − | 3.59003i | 0.271276 | − | 0.145000i | −0.330150 | − | 0.943928i | \(-0.607099\pi\) |
0.601426 | + | 0.798929i | \(0.294599\pi\) | |||||||
\(614\) | 12.0367 | − | 2.85430i | 0.485762 | − | 0.115190i | ||||
\(615\) | −1.06456 | + | 1.17880i | −0.0429271 | + | 0.0475338i | ||||
\(616\) | −20.8776 | + | 2.29416i | −0.841181 | + | 0.0924344i | ||||
\(617\) | −22.9697 | + | 15.3479i | −0.924727 | + | 0.617883i | −0.924114 | − | 0.382117i | \(-0.875195\pi\) |
−0.000612754 | 1.00000i | \(0.500195\pi\) | ||||||||
\(618\) | −0.861715 | − | 0.0942890i | −0.0346633 | − | 0.00379286i | ||||
\(619\) | −15.2863 | + | 18.6265i | −0.614410 | + | 0.748661i | −0.983535 | − | 0.180719i | \(-0.942158\pi\) |
0.369125 | + | 0.929380i | \(0.379658\pi\) | |||||||
\(620\) | 0.795109 | − | 0.306099i | 0.0319323 | − | 0.0122932i | ||||
\(621\) | 27.8634 | − | 20.8982i | 1.11812 | − | 0.838615i | ||||
\(622\) | −3.19891 | + | 12.1205i | −0.128265 | + | 0.485987i | ||||
\(623\) | −9.46729 | + | 22.8561i | −0.379299 | + | 0.915709i | ||||
\(624\) | −8.07719 | − | 12.0763i | −0.323347 | − | 0.483440i | ||||
\(625\) | 8.77610 | + | 21.1874i | 0.351044 | + | 0.847495i | ||||
\(626\) | 27.2044 | − | 3.68557i | 1.08731 | − | 0.147305i | ||||
\(627\) | −0.179464 | − | 1.19508i | −0.00716711 | − | 0.0477270i | ||||
\(628\) | 10.6311 | − | 47.1953i | 0.424227 | − | 1.88330i | ||||
\(629\) | 0.0748906 | + | 0.760377i | 0.00298608 | + | 0.0303182i | ||||
\(630\) | −3.47955 | − | 2.62958i | −0.138629 | − | 0.104765i | ||||
\(631\) | 34.4353 | + | 6.84962i | 1.37085 | + | 0.272679i | 0.824966 | − | 0.565182i | \(-0.191194\pi\) |
0.545883 | + | 0.837861i | \(0.316194\pi\) | |||||||
\(632\) | −38.3691 | + | 8.08275i | −1.52624 | + | 0.321515i | ||||
\(633\) | −17.9127 | + | 0.912196i | −0.711968 | + | 0.0362566i | ||||
\(634\) | 14.5523 | − | 10.5111i | 0.577948 | − | 0.417447i | ||||
\(635\) | 2.55493 | + | 0.775030i | 0.101389 | + | 0.0307561i | ||||
\(636\) | −8.78544 | + | 4.98998i | −0.348365 | + | 0.197865i | ||||
\(637\) | 0.795549 | + | 0.969379i | 0.0315208 | + | 0.0384082i | ||||
\(638\) | 1.12323 | − | 18.1838i | 0.0444690 | − | 0.719905i | ||||
\(639\) | 46.6394 | + | 13.9654i | 1.84503 | + | 0.552465i | ||||
\(640\) | −3.15435 | − | 2.80233i | −0.124687 | − | 0.110772i | ||||
\(641\) | − | 33.1457i | − | 1.30917i | −0.755986 | − | 0.654587i | \(-0.772842\pi\) | ||
0.755986 | − | 0.654587i | \(-0.227158\pi\) | |||||||
\(642\) | 5.26747 | − | 25.0621i | 0.207891 | − | 0.989123i | ||||
\(643\) | 16.7656 | − | 13.7591i | 0.661169 | − | 0.542607i | −0.242869 | − | 0.970059i | \(-0.578089\pi\) |
0.904038 | + | 0.427452i | \(0.140589\pi\) | |||||||
\(644\) | −29.1467 | + | 22.7151i | −1.14854 | + | 0.895101i | ||||
\(645\) | 2.60336 | − | 5.52997i | 0.102507 | − | 0.217742i | ||||
\(646\) | −0.408635 | − | 0.565748i | −0.0160775 | − | 0.0222590i | ||||
\(647\) | 7.40130 | − | 1.47221i | 0.290975 | − | 0.0578785i | −0.0474445 | − | 0.998874i | \(-0.515108\pi\) |
0.338420 | + | 0.940995i | \(0.390108\pi\) | |||||||
\(648\) | −23.3345 | + | 10.1736i | −0.916664 | + | 0.399658i | ||||
\(649\) | −3.96467 | + | 19.9318i | −0.155627 | + | 0.782390i | ||||
\(650\) | 13.5107 | + | 5.02719i | 0.529933 | + | 0.197182i | ||||
\(651\) | −0.257824 | + | 5.44741i | −0.0101049 | + | 0.213501i | ||||
\(652\) | 6.94912 | − | 30.8497i | 0.272148 | − | 1.20817i | ||||
\(653\) | 2.73577 | − | 0.829887i | 0.107059 | − | 0.0324760i | −0.236301 | − | 0.971680i | \(-0.575935\pi\) |
0.343360 | + | 0.939204i | \(0.388435\pi\) | |||||||
\(654\) | −0.0278804 | + | 2.57859i | −0.00109021 | + | 0.100831i | ||||
\(655\) | 7.54310 | − | 3.12446i | 0.294733 | − | 0.122083i | ||||
\(656\) | −3.30120 | − | 9.26512i | −0.128890 | − | 0.361742i | ||||
\(657\) | −2.47664 | + | 3.03996i | −0.0966228 | + | 0.118600i | ||||
\(658\) | −30.9094 | − | 8.15780i | −1.20498 | − | 0.318024i | ||||
\(659\) | 13.4215 | + | 7.17396i | 0.522829 | + | 0.279458i | 0.711626 | − | 0.702558i | \(-0.247959\pi\) |
−0.188798 | + | 0.982016i | \(0.560459\pi\) | |||||||
\(660\) | 0.766376 | + | 3.39493i | 0.0298311 | + | 0.132147i | ||||
\(661\) | 14.8483 | + | 12.1857i | 0.577533 | + | 0.473969i | 0.877233 | − | 0.480064i | \(-0.159387\pi\) |
−0.299700 | + | 0.954033i | \(0.596887\pi\) | |||||||
\(662\) | 0.273410 | + | 7.49097i | 0.0106264 | + | 0.291145i | ||||
\(663\) | 2.97017 | + | 6.25088i | 0.115352 | + | 0.242764i | ||||
\(664\) | 18.5838 | + | 14.9039i | 0.721191 | + | 0.578385i | ||||
\(665\) | −0.147917 | + | 0.221374i | −0.00573598 | + | 0.00858450i | ||||
\(666\) | 0.0987993 | − | 1.69841i | 0.00382840 | − | 0.0658121i | ||||
\(667\) | −15.1099 | − | 28.2685i | −0.585056 | − | 1.09456i | ||||
\(668\) | 10.9913 | − | 12.7248i | 0.425265 | − | 0.492336i | ||||
\(669\) | −6.81723 | + | 27.4244i | −0.263569 | + | 1.06029i | ||||
\(670\) | 2.20967 | + | 6.42999i | 0.0853668 | + | 0.248412i | ||||
\(671\) | −7.32528 | + | 7.32528i | −0.282789 | + | 0.282789i | ||||
\(672\) | 24.5530 | − | 11.2499i | 0.947152 | − | 0.433974i | ||||
\(673\) | −7.35919 | − | 7.35919i | −0.283676 | − | 0.283676i | 0.550897 | − | 0.834573i | \(-0.314286\pi\) |
−0.834573 | + | 0.550897i | \(0.814286\pi\) | |||||||
\(674\) | 3.67657 | − | 7.52651i | 0.141616 | − | 0.289911i | ||||
\(675\) | 12.8685 | − | 21.7341i | 0.495309 | − | 0.836546i | ||||
\(676\) | −15.3731 | + | 7.72535i | −0.591274 | + | 0.297129i | ||||
\(677\) | −17.5738 | + | 9.39341i | −0.675417 | + | 0.361018i | −0.773176 | − | 0.634192i | \(-0.781333\pi\) |
0.0977581 | + | 0.995210i | \(0.468833\pi\) | |||||||
\(678\) | 24.3637 | + | 20.4396i | 0.935683 | + | 0.784978i | ||||
\(679\) | −23.3099 | − | 15.5752i | −0.894554 | − | 0.597722i | ||||
\(680\) | 1.29249 | + | 1.53919i | 0.0495647 | + | 0.0590253i | ||||
\(681\) | −15.4338 | − | 32.4813i | −0.591426 | − | 1.24469i | ||||
\(682\) | 2.96292 | − | 3.18740i | 0.113456 | − | 0.122052i | ||||
\(683\) | 23.6103 | − | 28.7692i | 0.903424 | − | 1.10082i | −0.0910510 | − | 0.995846i | \(-0.529023\pi\) |
0.994474 | − | 0.104979i | \(-0.0334774\pi\) | |||||||
\(684\) | 0.702728 | + | 1.38599i | 0.0268695 | + | 0.0529946i | ||||
\(685\) | −1.57019 | + | 2.93761i | −0.0599937 | + | 0.112240i | ||||
\(686\) | 21.5657 | − | 12.5593i | 0.823384 | − | 0.479515i | ||||
\(687\) | −15.6430 | + | 26.2052i | −0.596818 | + | 0.999792i | ||||
\(688\) | 22.5059 | + | 30.4303i | 0.858028 | + | 1.16014i | ||||
\(689\) | −2.34061 | − | 5.65073i | −0.0891701 | − | 0.215276i | ||||
\(690\) | 4.28275 | + | 4.37637i | 0.163041 | + | 0.166606i | ||||
\(691\) | −6.54137 | − | 21.5640i | −0.248845 | − | 0.820333i | −0.989002 | − | 0.147899i | \(-0.952749\pi\) |
0.740157 | − | 0.672434i | \(-0.234751\pi\) | |||||||
\(692\) | −17.2359 | − | 12.1560i | −0.655209 | − | 0.462103i | ||||
\(693\) | −21.8647 | − | 4.26770i | −0.830571 | − | 0.162117i | ||||
\(694\) | 16.6102 | − | 7.60133i | 0.630514 | − | 0.288543i | ||||
\(695\) | 6.26229 | + | 1.24565i | 0.237542 | + | 0.0472501i | ||||
\(696\) | 5.98866 | + | 22.6484i | 0.226999 | + | 0.858484i | ||||
\(697\) | 0.914039 | + | 4.59518i | 0.0346217 | + | 0.174055i | ||||
\(698\) | −0.830143 | + | 5.14839i | −0.0314214 | + | 0.194870i | ||||
\(699\) | −11.1380 | + | 23.6591i | −0.421280 | + | 0.894869i | ||||
\(700\) | −13.2241 | + | 23.3075i | −0.499823 | + | 0.880942i | ||||
\(701\) | −2.49815 | − | 3.04400i | −0.0943538 | − | 0.114970i | 0.723693 | − | 0.690122i | \(-0.242443\pi\) |
−0.818047 | + | 0.575151i | \(0.804943\pi\) | |||||||
\(702\) | −4.36658 | − | 14.7782i | −0.164806 | − | 0.557769i | ||||
\(703\) | −0.103855 | −0.00391698 | ||||||||
\(704\) | −20.7595 | − | 5.78961i | −0.782402 | − | 0.218204i | ||||
\(705\) | −0.767871 | + | 5.24130i | −0.0289197 | + | 0.197399i | ||||
\(706\) | −6.43234 | + | 5.68391i | −0.242084 | + | 0.213917i | ||||
\(707\) | −30.5272 | + | 25.0530i | −1.14809 | + | 0.942215i | ||||
\(708\) | −3.22805 | − | 25.9318i | −0.121318 | − | 0.974576i | ||||
\(709\) | −9.40994 | + | 31.0204i | −0.353398 | + | 1.16500i | 0.582531 | + | 0.812808i | \(0.302062\pi\) |
−0.935929 | + | 0.352188i | \(0.885438\pi\) | |||||||
\(710\) | −1.36251 | + | 8.45006i | −0.0511343 | + | 0.317125i | ||||
\(711\) | −41.4039 | − | 3.92805i | −1.55277 | − | 0.147313i | ||||
\(712\) | −17.7466 | + | 18.1513i | −0.665082 | + | 0.680248i | ||||
\(713\) | 1.49372 | − | 7.50942i | 0.0559402 | − | 0.281230i | ||||
\(714\) | −12.3507 | + | 3.60120i | −0.462214 | + | 0.134771i | ||||
\(715\) | −2.09671 | + | 0.206508i | −0.0784124 | + | 0.00772295i | ||||
\(716\) | −42.2840 | + | 7.30796i | −1.58023 | + | 0.273111i | ||||
\(717\) | −0.767624 | − | 5.11173i | −0.0286674 | − | 0.190901i | ||||
\(718\) | 12.1479 | − | 15.9553i | 0.453357 | − | 0.595445i | ||||
\(719\) | −13.8597 | + | 5.74086i | −0.516878 | + | 0.214098i | −0.625845 | − | 0.779947i | \(-0.715246\pi\) |
0.108967 | + | 0.994045i | \(0.465246\pi\) | |||||||
\(720\) | −2.30941 | − | 3.83340i | −0.0860667 | − | 0.142862i | ||||
\(721\) | 0.901234 | + | 0.373304i | 0.0335637 | + | 0.0139025i | ||||
\(722\) | −23.1375 | + | 13.4746i | −0.861090 | + | 0.501474i | ||||
\(723\) | −12.3312 | − | 9.11121i | −0.458602 | − | 0.338850i | ||||
\(724\) | 0.467644 | − | 18.5461i | 0.0173798 | − | 0.689261i | ||||
\(725\) | −17.9684 | − | 14.7463i | −0.667330 | − | 0.547664i | ||||
\(726\) | −5.73878 | − | 7.14896i | −0.212986 | − | 0.265323i | ||||
\(727\) | 26.6913 | + | 39.9464i | 0.989927 | + | 1.48153i | 0.872599 | + | 0.488438i | \(0.162433\pi\) |
0.117329 | + | 0.993093i | \(0.462567\pi\) | |||||||
\(728\) | 4.92198 | + | 15.5907i | 0.182421 | + | 0.577830i | ||||
\(729\) | −26.8400 | + | 2.93539i | −0.994073 | + | 0.108718i | ||||
\(730\) | −0.586766 | − | 0.361824i | −0.0217172 | − | 0.0133917i | ||||
\(731\) | −8.49888 | − | 15.9003i | −0.314342 | − | 0.588093i | ||||
\(732\) | 5.97588 | − | 11.9054i | 0.220875 | − | 0.440037i | ||||
\(733\) | −13.4778 | − | 1.32744i | −0.497812 | − | 0.0490302i | −0.154004 | − | 0.988070i | \(-0.549217\pi\) |
−0.343808 | + | 0.939040i | \(0.611717\pi\) | |||||||
\(734\) | −3.44869 | + | 7.06000i | −0.127293 | + | 0.260589i | ||||
\(735\) | 0.230666 | + | 0.309854i | 0.00850825 | + | 0.0114292i | ||||
\(736\) | −36.4349 | + | 10.5002i | −1.34301 | + | 0.387041i | ||||
\(737\) | 24.5567 | + | 24.5567i | 0.904556 | + | 0.904556i | ||||
\(738\) | −0.417897 | − | 10.4239i | −0.0153830 | − | 0.383710i | ||||
\(739\) | 27.9316 | + | 2.75102i | 1.02748 | + | 0.101198i | 0.597687 | − | 0.801729i | \(-0.296086\pi\) |
0.429793 | + | 0.902927i | \(0.358586\pi\) | |||||||
\(740\) | 0.298301 | − | 0.0218042i | 0.0109658 | − | 0.000801539i | ||||
\(741\) | −0.885139 | + | 0.318499i | −0.0325164 | + | 0.0117004i | ||||
\(742\) | 11.0630 | − | 2.62340i | 0.406136 | − | 0.0963080i | ||||
\(743\) | −19.4588 | − | 13.0020i | −0.713875 | − | 0.476996i | 0.144836 | − | 0.989456i | \(-0.453734\pi\) |
−0.858711 | + | 0.512460i | \(0.828734\pi\) | |||||||
\(744\) | −2.32626 | + | 5.08947i | −0.0852850 | + | 0.186589i | ||||
\(745\) | 0.152077 | + | 0.227600i | 0.00557169 | + | 0.00833862i | ||||
\(746\) | 1.32157 | + | 36.2088i | 0.0483862 | + | 1.32570i | ||||
\(747\) | 14.1128 | + | 20.9582i | 0.516361 | + | 0.766822i | ||||
\(748\) | 9.38261 | + | 4.16651i | 0.343062 | + | 0.152343i | ||||
\(749\) | −13.5852 | + | 25.4161i | −0.496391 | + | 0.928683i | ||||
\(750\) | 8.28466 | + | 3.53704i | 0.302513 | + | 0.129154i | ||||
\(751\) | 21.2945 | + | 8.82049i | 0.777049 | + | 0.321864i | 0.735724 | − | 0.677282i | \(-0.236842\pi\) |
0.0413250 | + | 0.999146i | \(0.486842\pi\) | |||||||
\(752\) | −26.3212 | − | 19.5756i | −0.959837 | − | 0.713848i | ||||
\(753\) | −24.7893 | + | 6.25667i | −0.903374 | + | 0.228006i | ||||
\(754\) | −14.0531 | + | 1.90388i | −0.511785 | + | 0.0693352i | ||||
\(755\) | −1.33400 | − | 4.39761i | −0.0485492 | − | 0.160045i | ||||
\(756\) | 28.4136 | − | 3.64052i | 1.03339 | − | 0.132404i | ||||
\(757\) | 25.2070 | − | 2.48268i | 0.916166 | − | 0.0902344i | 0.371067 | − | 0.928606i | \(-0.378992\pi\) |
0.545099 | + | 0.838372i | \(0.316492\pi\) | |||||||
\(758\) | 16.6918 | + | 6.21083i | 0.606272 | + | 0.225587i | ||||
\(759\) | 29.4671 | + | 10.4839i | 1.06959 | + | 0.380543i | ||||
\(760\) | −0.225429 | + | 0.154331i | −0.00817717 | + | 0.00559816i | ||||
\(761\) | 1.96911 | + | 9.89939i | 0.0713802 | + | 0.358853i | 0.999923 | − | 0.0123716i | \(-0.00393810\pi\) |
−0.928543 | + | 0.371224i | \(0.878938\pi\) | |||||||
\(762\) | −15.5538 | + | 8.09869i | −0.563454 | + | 0.293385i | ||||
\(763\) | 0.842377 | − | 2.77694i | 0.0304961 | − | 0.100532i | ||||
\(764\) | −3.03837 | + | 24.5001i | −0.109924 | + | 0.886383i | ||||
\(765\) | 0.822864 | + | 1.96659i | 0.0297507 | + | 0.0711023i | ||||
\(766\) | −1.17323 | + | 18.9933i | −0.0423905 | + | 0.686256i | ||||
\(767\) | 15.8191 | 0.571195 | ||||||||
\(768\) | 27.6806 | − | 1.33568i | 0.998838 | − | 0.0481972i | ||||
\(769\) | −22.4781 | −0.810581 | −0.405291 | − | 0.914188i | \(-0.632830\pi\) | ||||
−0.405291 | + | 0.914188i | \(0.632830\pi\) | |||||||
\(770\) | 0.241464 | − | 3.90904i | 0.00870177 | − | 0.140872i | ||||
\(771\) | −17.2188 | − | 28.6113i | −0.620119 | − | 1.03041i | ||||
\(772\) | 0.0299318 | − | 0.241358i | 0.00107727 | − | 0.00868665i | ||||
\(773\) | 4.86358 | − | 16.0331i | 0.174931 | − | 0.576669i | −0.825003 | − | 0.565129i | \(-0.808826\pi\) |
0.999933 | − | 0.0115406i | \(-0.00367356\pi\) | |||||||
\(774\) | 13.1828 | + | 37.9183i | 0.473848 | + | 1.36294i | ||||
\(775\) | −1.08323 | − | 5.44575i | −0.0389106 | − | 0.195617i | ||||
\(776\) | −16.2505 | − | 23.7370i | −0.583360 | − | 0.852107i | ||||
\(777\) | −0.641736 | + | 1.80372i | −0.0230221 | + | 0.0647081i | ||||
\(778\) | −15.1063 | − | 5.62088i | −0.541586 | − | 0.201518i | ||||
\(779\) | −0.633776 | + | 0.0624215i | −0.0227074 | + | 0.00223648i | ||||
\(780\) | 2.47550 | − | 1.10065i | 0.0886370 | − | 0.0394096i | ||||
\(781\) | 12.6909 | + | 41.8363i | 0.454116 | + | 1.49702i | ||||
\(782\) | 17.8985 | − | 2.42484i | 0.640051 | − | 0.0867122i | ||||
\(783\) | −1.08570 | + | 24.8241i | −0.0387999 | + | 0.887141i | ||||
\(784\) | −2.36661 | + | 0.347831i | −0.0845216 | + | 0.0124225i | ||||
\(785\) | 8.33438 | + | 3.45221i | 0.297467 | + | 0.123215i | ||||
\(786\) | −21.0559 | + | 49.3185i | −0.751040 | + | 1.75913i | ||||
\(787\) | −11.0972 | + | 20.7614i | −0.395572 | + | 0.740063i | −0.998324 | − | 0.0578649i | \(-0.981571\pi\) |
0.602752 | + | 0.797928i | \(0.294071\pi\) | |||||||
\(788\) | −37.0090 | − | 16.4345i | −1.31839 | − | 0.585454i | ||||
\(789\) | 38.3662 | − | 34.8986i | 1.36587 | − | 1.24242i | ||||
\(790\) | −0.266692 | − | 7.30689i | −0.00948846 | − | 0.259967i | ||||
\(791\) | −19.8824 | − | 29.7560i | −0.706935 | − | 1.05800i | ||||
\(792\) | −19.1932 | − | 12.4160i | −0.682000 | − | 0.441183i | ||||
\(793\) | 6.70495 | + | 4.48011i | 0.238100 | + | 0.159093i | ||||
\(794\) | 17.8987 | − | 4.24438i | 0.635203 | − | 0.150627i | ||||
\(795\) | −0.637893 | − | 1.77276i | −0.0226237 | − | 0.0628735i | ||||
\(796\) | 7.82434 | − | 0.571918i | 0.277326 | − | 0.0202711i | ||||
\(797\) | 16.9569 | + | 1.67011i | 0.600645 | + | 0.0591584i | 0.393770 | − | 0.919209i | \(-0.371171\pi\) |
0.206875 | + | 0.978367i | \(0.433671\pi\) | |||||||
\(798\) | −0.322590 | − | 1.71868i | −0.0114196 | − | 0.0608407i | ||||
\(799\) | 11.0489 | + | 11.0489i | 0.390881 | + | 0.390881i | ||||
\(800\) | −21.4969 | + | 17.1463i | −0.760030 | + | 0.606213i | ||||
\(801\) | −23.7002 | + | 12.7775i | −0.837404 | + | 0.451470i | ||||
\(802\) | 19.8923 | − | 40.7227i | 0.702422 | − | 1.43797i | ||||
\(803\) | −3.50414 | − | 0.345128i | −0.123659 | − | 0.0121793i | ||||
\(804\) | −39.9108 | − | 20.0331i | −1.40754 | − | 0.706512i | ||||
\(805\) | −3.24822 | − | 6.07699i | −0.114485 | − | 0.214186i | ||||
\(806\) | −2.88339 | − | 1.77802i | −0.101563 | − | 0.0626281i | ||||
\(807\) | −27.0031 | + | 29.9009i | −0.950555 | + | 1.05256i | ||||
\(808\) | −38.6426 | + | 12.1994i | −1.35944 | + | 0.429174i | ||||
\(809\) | −12.0138 | − | 17.9799i | −0.422382 | − | 0.632139i | 0.557861 | − | 0.829934i | \(-0.311622\pi\) |
−0.980243 | + | 0.197795i | \(0.936622\pi\) | |||||||
\(810\) | −1.12834 | − | 4.61072i | −0.0396459 | − | 0.162004i | ||||
\(811\) | −0.706495 | − | 0.579806i | −0.0248084 | − | 0.0203597i | 0.621907 | − | 0.783091i | \(-0.286358\pi\) |
−0.646716 | + | 0.762731i | \(0.723858\pi\) | |||||||
\(812\) | 0.664523 | − | 26.3541i | 0.0233202 | − | 0.924848i | ||||
\(813\) | 25.7737 | − | 34.8824i | 0.903924 | − | 1.22338i | ||||
\(814\) | 1.32017 | − | 0.768831i | 0.0462721 | − | 0.0269475i | ||||
\(815\) | 5.44785 | + | 2.25657i | 0.190830 | + | 0.0790443i | ||||
\(816\) | −13.1380 | − | 1.28787i | −0.459922 | − | 0.0450843i | ||||
\(817\) | 2.26409 | − | 0.937817i | 0.0792105 | − | 0.0328101i | ||||
\(818\) | 34.1983 | − | 44.9165i | 1.19571 | − | 1.57047i | ||||
\(819\) | 0.0621880 | + | 17.3408i | 0.00217302 | + | 0.605938i | ||||
\(820\) | 1.80727 | − | 0.312352i | 0.0631127 | − | 0.0109078i | ||||
\(821\) | −25.1111 | + | 2.47323i | −0.876385 | + | 0.0863164i | −0.526197 | − | 0.850363i | \(-0.676382\pi\) |
−0.350188 | + | 0.936679i | \(0.613882\pi\) | |||||||
\(822\) | −6.12400 | − | 21.0029i | −0.213599 | − | 0.732562i | ||||
\(823\) | −9.55511 | + | 48.0368i | −0.333070 | + | 1.67446i | 0.344335 | + | 0.938847i | \(0.388104\pi\) |
−0.677405 | + | 0.735610i | \(0.736896\pi\) | |||||||
\(824\) | 0.715720 | + | 0.699764i | 0.0249333 | + | 0.0243774i | ||||
\(825\) | 22.6520 | − | 1.15354i | 0.788643 | − | 0.0401612i | ||||
\(826\) | −4.68115 | + | 29.0317i | −0.162878 | + | 1.01014i | ||||
\(827\) | 2.12703 | − | 7.01189i | 0.0739642 | − | 0.243827i | −0.912161 | − | 0.409833i | \(-0.865587\pi\) |
0.986125 | + | 0.166006i | \(0.0530870\pi\) | |||||||
\(828\) | −40.2084 | − | 0.869588i | −1.39734 | − | 0.0302203i | ||||
\(829\) | 7.84204 | − | 6.43580i | 0.272365 | − | 0.223524i | −0.488288 | − | 0.872682i | \(-0.662379\pi\) |
0.760654 | + | 0.649158i | \(0.224879\pi\) | |||||||
\(830\) | −3.32872 | + | 2.94141i | −0.115541 | + | 0.102098i | ||||
\(831\) | 39.2876 | + | 5.75579i | 1.36287 | + | 0.199666i | ||||
\(832\) | −1.26756 | + | 16.7282i | −0.0439448 | + | 0.579945i | ||||
\(833\) | 1.13944 | 0.0394793 | ||||||||
\(834\) | −35.1189 | + | 22.9204i | −1.21607 | + | 0.793668i | ||||
\(835\) | 1.98909 | + | 2.42371i | 0.0688353 | + | 0.0838760i | ||||
\(836\) | −0.688616 | + | 1.21369i | −0.0238163 | + | 0.0419764i | ||||
\(837\) | −3.96223 | + | 4.41919i | −0.136955 | + | 0.152750i | ||||
\(838\) | −4.01034 | + | 24.8714i | −0.138535 | + | 0.859168i | ||||
\(839\) | 1.06992 | + | 5.37886i | 0.0369378 | + | 0.185699i | 0.994849 | − | 0.101365i | \(-0.0323209\pi\) |
−0.957912 | + | 0.287063i | \(0.907321\pi\) | |||||||
\(840\) | 1.28740 | + | 4.86880i | 0.0444196 | + | 0.167989i | ||||
\(841\) | −6.01497 | − | 1.19645i | −0.207413 | − | 0.0412570i | ||||
\(842\) | 18.7312 | − | 8.57197i | 0.645519 | − | 0.295410i | ||||
\(843\) | −1.47350 | + | 31.1327i | −0.0507500 | + | 1.07227i | ||||
\(844\) | 16.9248 | + | 11.9366i | 0.582575 | + | 0.410876i | ||||
\(845\) | −0.931304 | − | 3.07010i | −0.0320378 | − | 0.105615i | ||||
\(846\) | −20.4730 | − | 28.1313i | −0.703875 | − | 0.967175i | ||||
\(847\) | 3.94784 | + | 9.53094i | 0.135650 | + | 0.327487i | ||||
\(848\) | 11.5381 | + | 1.72723i | 0.396221 | + | 0.0593134i | ||||
\(849\) | −0.528679 | − | 0.315591i | −0.0181442 | − | 0.0108311i | ||||
\(850\) | 11.3188 | − | 6.59177i | 0.388233 | − | 0.226096i | ||||
\(851\) | 1.26705 | − | 2.37049i | 0.0434340 | − | 0.0812592i | ||||
\(852\) | −32.4220 | − | 45.9257i | −1.11076 | − | 1.57339i | ||||
\(853\) | 13.2498 | − | 16.1449i | 0.453663 | − | 0.552790i | −0.495076 | − | 0.868849i | \(-0.664860\pi\) |
0.948739 | + | 0.316060i | \(0.102360\pi\) | |||||||
\(854\) | −10.2061 | + | 10.9794i | −0.349246 | + | 0.375706i | ||||
\(855\) | −0.276988 | + | 0.0851092i | −0.00947277 | + | 0.00291067i | ||||
\(856\) | −22.6462 | + | 19.0165i | −0.774030 | + | 0.649969i | ||||
\(857\) | −4.39660 | − | 2.93771i | −0.150185 | − | 0.100350i | 0.478207 | − | 0.878247i | \(-0.341287\pi\) |
−0.628392 | + | 0.777897i | \(0.716287\pi\) | |||||||
\(858\) | 8.89377 | − | 10.6013i | 0.303628 | − | 0.361921i | ||||
\(859\) | −27.3697 | + | 14.6294i | −0.933842 | + | 0.499149i | −0.866830 | − | 0.498604i | \(-0.833846\pi\) |
−0.0670113 | + | 0.997752i | \(0.521346\pi\) | |||||||
\(860\) | −6.30620 | + | 3.16901i | −0.215039 | + | 0.108062i | ||||
\(861\) | −2.83207 | + | 11.3929i | −0.0965168 | + | 0.388269i | ||||
\(862\) | 6.81692 | − | 13.9553i | 0.232185 | − | 0.475319i | ||||
\(863\) | −22.3199 | − | 22.3199i | −0.759780 | − | 0.759780i | 0.216502 | − | 0.976282i | \(-0.430535\pi\) |
−0.976282 | + | 0.216502i | \(0.930535\pi\) | |||||||
\(864\) | 28.4508 | + | 7.38588i | 0.967916 | + | 0.251273i | ||||
\(865\) | 2.78100 | − | 2.78100i | 0.0945567 | − | 0.0945567i | ||||
\(866\) | −11.8123 | − | 34.3731i | −0.401399 | − | 1.16805i | ||||
\(867\) | −22.4727 | − | 5.58631i | −0.763212 | − | 0.189721i | ||||
\(868\) | 4.11631 | − | 4.76553i | 0.139717 | − | 0.161753i | ||||
\(869\) | −17.6053 | − | 32.9372i | −0.597218 | − | 1.11732i | ||||
\(870\) | −4.35175 | + | 0.381152i | −0.147538 | + | 0.0129223i | ||||
\(871\) | 15.0187 | − | 22.4771i | 0.508891 | − | 0.761609i | ||||
\(872\) | 1.86295 | − | 2.32292i | 0.0630875 | − | 0.0786641i | ||||
\(873\) | −8.96173 | − | 29.1659i | −0.303309 | − | 0.987117i | ||||
\(874\) | 0.0895485 | + | 2.45347i | 0.00302902 | + | 0.0829900i | ||||
\(875\) | −7.83599 | − | 6.43083i | −0.264905 | − | 0.217402i | ||||
\(876\) | 4.41657 | − | 0.997003i | 0.149222 | − | 0.0336856i | ||||
\(877\) | 11.2187 | + | 5.99653i | 0.378829 | + | 0.202488i | 0.649811 | − | 0.760096i | \(-0.274848\pi\) |
−0.270981 | + | 0.962585i | \(0.587348\pi\) | |||||||
\(878\) | 35.8931 | + | 9.47312i | 1.21133 | + | 0.319702i | ||||
\(879\) | −14.8140 | + | 24.8164i | −0.499662 | + | 0.837036i | ||||
\(880\) | 1.72308 | − | 3.63063i | 0.0580851 | − | 0.122388i | ||||
\(881\) | 35.9242 | − | 14.8803i | 1.21032 | − | 0.501329i | 0.315997 | − | 0.948760i | \(-0.397661\pi\) |
0.894319 | + | 0.447431i | \(0.147661\pi\) | |||||||
\(882\) | −2.50621 | − | 0.394893i | −0.0843885 | − | 0.0132967i | ||||
\(883\) | 3.95631 | − | 1.20013i | 0.133141 | − | 0.0403878i | −0.223011 | − | 0.974816i | \(-0.571589\pi\) |
0.356152 | + | 0.934428i | \(0.384089\pi\) | |||||||
\(884\) | 1.75609 | − | 7.79594i | 0.0590638 | − | 0.262206i | ||||
\(885\) | 4.86740 | + | 0.230372i | 0.163616 | + | 0.00774386i | ||||
\(886\) | −2.00162 | − | 0.744784i | −0.0672459 | − | 0.0250215i | ||||
\(887\) | −5.88041 | + | 29.5628i | −0.197445 | + | 0.992622i | 0.747218 | + | 0.664579i | \(0.231389\pi\) |
−0.944663 | + | 0.328043i | \(0.893611\pi\) | |||||||
\(888\) | −1.30013 | + | 1.47269i | −0.0436295 | + | 0.0494203i | ||||
\(889\) | 19.3543 | − | 3.84980i | 0.649121 | − | 0.129118i | ||||
\(890\) | −2.77166 | − | 3.83731i | −0.0929063 | − | 0.128627i | ||||
\(891\) | −15.5153 | − | 18.6313i | −0.519782 | − | 0.624173i | ||||
\(892\) | 25.7377 | − | 20.0583i | 0.861762 | − | 0.671603i | ||||
\(893\) | −1.64181 | + | 1.34740i | −0.0549410 | + | 0.0450889i | ||||
\(894\) | −1.75944 | − | 0.369792i | −0.0588444 | − | 0.0123677i | ||||
\(895\) | − | 8.00163i | − | 0.267465i | ||||||
\(896\) | −30.3249 | − | 7.27642i | −1.01308 | − | 0.243088i | ||||
\(897\) | 3.52913 | − | 24.0890i | 0.117834 | − | 0.804307i | ||||
\(898\) | 0.797020 | − | 12.9029i | 0.0265969 | − | 0.430575i | ||||
\(899\) | 3.46522 | + | 4.22238i | 0.115571 | + | 0.140824i | ||||
\(900\) | −27.1804 | + | 10.5759i | −0.906014 | + | 0.352531i | ||||
\(901\) | −5.31811 | − | 1.61323i | −0.177172 | − | 0.0537446i | ||||
\(902\) | 7.59425 | − | 5.48527i | 0.252861 | − | 0.182639i | ||||
\(903\) | −2.29755 | − | 45.1168i | −0.0764576 | − | 1.50139i | ||||
\(904\) | −7.56960 | − | 35.9332i | −0.251761 | − | 1.19512i | ||||
\(905\) | 3.39294 | + | 0.674898i | 0.112785 | + | 0.0224344i | ||||
\(906\) | 26.4639 | + | 14.5152i | 0.879203 | + | 0.482237i | ||||
\(907\) | 2.96393 | + | 30.0933i | 0.0984157 | + | 0.999231i | 0.909892 | + | 0.414846i | \(0.136164\pi\) |
−0.811476 | + | 0.584386i | \(0.801336\pi\) | |||||||
\(908\) | −9.12515 | + | 40.5099i | −0.302829 | + | 1.34437i | ||||
\(909\) | −42.9803 | + | 0.154137i | −1.42557 | + | 0.00511239i | ||||
\(910\) | −3.02105 | + | 0.409283i | −0.100147 | + | 0.0135676i | ||||
\(911\) | −11.9587 | − | 28.8708i | −0.396209 | − | 0.956532i | −0.988557 | − | 0.150850i | \(-0.951799\pi\) |
0.592348 | − | 0.805682i | \(-0.298201\pi\) | |||||||
\(912\) | 0.349251 | − | 1.76004i | 0.0115648 | − | 0.0582808i | ||||
\(913\) | −8.68286 | + | 20.9623i | −0.287361 | + | 0.693750i | ||||
\(914\) | −0.929642 | + | 3.52236i | −0.0307498 | + | 0.116509i | ||||
\(915\) | 1.99781 | + | 1.47613i | 0.0660455 | + | 0.0487994i | ||||
\(916\) | 32.8875 | − | 12.6610i | 1.08663 | − | 0.418330i | ||||
\(917\) | 38.2826 | − | 46.6475i | 1.26420 | − | 1.54044i | ||||
\(918\) | −12.8969 | − | 5.45156i | −0.425660 | − | 0.179928i | ||||
\(919\) | 20.9727 | − | 14.0135i | 0.691825 | − | 0.462263i | −0.159297 | − | 0.987231i | \(-0.550923\pi\) |
0.851122 | + | 0.524968i | \(0.175923\pi\) | |||||||
\(920\) | −0.772310 | − | 7.02825i | −0.0254623 | − | 0.231715i | ||||
\(921\) | −11.2442 | − | 10.1545i | −0.370508 | − | 0.334601i | ||||
\(922\) | 47.4949 | − | 11.2626i | 1.56416 | − | 0.370913i | ||||
\(923\) | 30.0129 | − | 16.0423i | 0.987888 | − | 0.528037i | ||||
\(924\) | 16.8239 | + | 19.4592i | 0.553466 | + | 0.640160i | ||||
\(925\) | 0.191056 | − | 1.93982i | 0.00628188 | − | 0.0637810i | ||||
\(926\) | 24.2427 | − | 8.33100i | 0.796664 | − | 0.273774i | ||||
\(927\) | 0.503827 | + | 0.934518i | 0.0165479 | + | 0.0306936i | ||||
\(928\) | 10.6992 | − | 24.8451i | 0.351219 | − | 0.815579i | ||||
\(929\) | −21.2452 | + | 21.2452i | −0.697032 | + | 0.697032i | −0.963769 | − | 0.266737i | \(-0.914054\pi\) |
0.266737 | + | 0.963769i | \(0.414054\pi\) | |||||||
\(930\) | −0.861300 | − | 0.589071i | −0.0282431 | − | 0.0193164i | ||||
\(931\) | −0.0151809 | + | 0.154134i | −0.000497533 | + | 0.00505154i | ||||
\(932\) | 26.9800 | − | 13.5581i | 0.883761 | − | 0.444110i | ||||
\(933\) | 14.4461 | − | 5.19812i | 0.472943 | − | 0.170179i | ||||
\(934\) | −42.2467 | − | 26.0511i | −1.38235 | − | 0.852417i | ||||
\(935\) | −1.06355 | + | 1.59171i | −0.0347817 | + | 0.0520545i | ||||
\(936\) | −6.56437 | + | 16.5387i | −0.214563 | + | 0.540583i | ||||
\(937\) | −21.0711 | + | 14.0793i | −0.688364 | + | 0.459950i | −0.849919 | − | 0.526914i | \(-0.823349\pi\) |
0.161555 | + | 0.986864i | \(0.448349\pi\) | |||||||
\(938\) | 36.8063 | + | 34.2142i | 1.20177 | + | 1.11713i | ||||
\(939\) | −22.6244 | − | 24.8724i | −0.738318 | − | 0.811679i | ||||
\(940\) | 4.43284 | − | 4.21479i | 0.144583 | − | 0.137471i | ||||
\(941\) | 46.2065 | + | 24.6979i | 1.50629 | + | 0.805127i | 0.998414 | − | 0.0563039i | \(-0.0179316\pi\) |
0.507874 | + | 0.861431i | \(0.330432\pi\) | |||||||
\(942\) | −54.9823 | + | 22.0810i | −1.79142 | + | 0.719439i | ||||
\(943\) | 6.30741 | − | 15.2274i | 0.205397 | − | 0.495873i | ||||
\(944\) | −15.5473 | + | 25.8609i | −0.506021 | + | 0.841700i | ||||
\(945\) | −0.233398 | + | 5.33652i | −0.00759243 | + | 0.173597i | ||||
\(946\) | −21.8378 | + | 28.6821i | −0.710007 | + | 0.932534i | ||||
\(947\) | −35.8690 | + | 10.8808i | −1.16559 | + | 0.353577i | −0.813035 | − | 0.582215i | \(-0.802186\pi\) |
−0.352552 | + | 0.935792i | \(0.614686\pi\) | |||||||
\(948\) | 34.8183 | + | 33.0751i | 1.13085 | + | 1.07423i | ||||
\(949\) | 0.268652 | + | 2.72767i | 0.00872082 | + | 0.0885440i | ||||
\(950\) | 0.740878 | + | 1.61894i | 0.0240373 | + | 0.0525254i | ||||
\(951\) | −20.7139 | − | 7.36969i | −0.671695 | − | 0.238979i | ||||
\(952\) | 13.7877 | + | 5.52979i | 0.446861 | + | 0.179221i | ||||
\(953\) | −3.56835 | + | 0.709789i | −0.115590 | + | 0.0229923i | −0.252546 | − | 0.967585i | \(-0.581268\pi\) |
0.136956 | + | 0.990577i | \(0.456268\pi\) | |||||||
\(954\) | 11.1382 | + | 5.39141i | 0.360611 | + | 0.174553i | ||||
\(955\) | −4.40533 | − | 1.33634i | −0.142553 | − | 0.0432430i | ||||
\(956\) | −2.94542 | + | 5.19133i | −0.0952617 | + | 0.167900i | ||||
\(957\) | −19.1179 | + | 11.5055i | −0.617994 | + | 0.371919i | ||||
\(958\) | 35.3750 | − | 31.2590i | 1.14291 | − | 1.00993i | ||||
\(959\) | 24.6191i | 0.794993i | ||||||||
\(960\) | −0.633627 | + | 5.12864i | −0.0204502 | + | 0.165526i | ||||
\(961\) | − | 29.6952i | − | 0.957911i | ||||||
\(962\) | −0.787452 | − | 0.891139i | −0.0253885 | − | 0.0287315i | ||||
\(963\) | −28.9346 | + | 12.1068i | −0.932403 | + | 0.390137i | ||||
\(964\) | 4.71050 | + | 17.0658i | 0.151715 | + | 0.549652i | ||||
\(965\) | 0.0433982 | + | 0.0131647i | 0.00139704 | + | 0.000423786i | ||||
\(966\) | 43.1644 | + | 13.6051i | 1.38879 | + | 0.437737i | ||||
\(967\) | −8.06674 | + | 1.60457i | −0.259409 | + | 0.0515996i | −0.323081 | − | 0.946371i | \(-0.604719\pi\) |
0.0636724 | + | 0.997971i | \(0.479719\pi\) | |||||||
\(968\) | 0.119325 | + | 10.5849i | 0.00383525 | + | 0.340212i | ||||
\(969\) | −0.286510 | + | 0.805290i | −0.00920401 | + | 0.0258696i | ||||
\(970\) | 4.87766 | − | 2.23217i | 0.156612 | − | 0.0716706i | ||||
\(971\) | 4.29777 | + | 43.6360i | 0.137922 | + | 1.40035i | 0.776174 | + | 0.630519i | \(0.217158\pi\) |
−0.638252 | + | 0.769828i | \(0.720342\pi\) | |||||||
\(972\) | 26.4774 | + | 16.4604i | 0.849265 | + | 0.527968i | ||||
\(973\) | 45.1599 | − | 13.6991i | 1.44776 | − | 0.439173i | ||||
\(974\) | −30.3838 | − | 23.1334i | −0.973558 | − | 0.741242i | ||||
\(975\) | −4.32064 | − | 17.1187i | −0.138371 | − | 0.548236i | ||||
\(976\) | −13.9137 | + | 6.55804i | −0.445368 | + | 0.209918i | ||||
\(977\) | −17.0346 | + | 41.1251i | −0.544984 | + | 1.31571i | 0.376185 | + | 0.926544i | \(0.377236\pi\) |
−0.921169 | + | 0.389163i | \(0.872764\pi\) | |||||||
\(978\) | −35.9397 | + | 14.4335i | −1.14923 | + | 0.461532i | ||||
\(979\) | −21.3234 | − | 11.3976i | −0.681500 | − | 0.364269i | ||||
\(980\) | 0.0112435 | − | 0.445903i | 0.000359161 | − | 0.0142438i | ||||
\(981\) | 2.61972 | − | 1.76406i | 0.0836413 | − | 0.0563223i | ||||
\(982\) | 39.2851 | − | 42.2614i | 1.25364 | − | 1.34862i | ||||
\(983\) | 46.1686 | − | 30.8489i | 1.47255 | − | 0.983926i | 0.478145 | − | 0.878281i | \(-0.341309\pi\) |
0.994404 | − | 0.105645i | \(-0.0336908\pi\) | |||||||
\(984\) | −7.04888 | + | 9.76852i | −0.224710 | + | 0.311409i | ||||
\(985\) | 4.19508 | − | 6.27839i | 0.133667 | − | 0.200046i | ||||
\(986\) | −6.76333 | + | 10.9680i | −0.215388 | + | 0.349293i | ||||
\(987\) | 13.2561 | + | 36.8400i | 0.421948 | + | 1.17263i | ||||
\(988\) | 1.03117 | + | 0.341416i | 0.0328060 | + | 0.0108619i | ||||
\(989\) | −6.21669 | + | 63.1191i | −0.197679 | + | 2.00707i | ||||
\(990\) | 2.89092 | − | 3.13239i | 0.0918794 | − | 0.0995540i | ||||
\(991\) | −2.21787 | + | 2.21787i | −0.0704528 | + | 0.0704528i | −0.741455 | − | 0.671002i | \(-0.765864\pi\) |
0.671002 | + | 0.741455i | \(0.265864\pi\) | |||||||
\(992\) | 5.74053 | − | 2.96626i | 0.182262 | − | 0.0941790i | ||||
\(993\) | 7.36414 | − | 5.48211i | 0.233694 | − | 0.173970i | ||||
\(994\) | 20.5598 | + | 59.8277i | 0.652118 | + | 1.89762i | ||||
\(995\) | −0.143390 | + | 1.45586i | −0.00454576 | + | 0.0461539i | ||||
\(996\) | 2.11351 | − | 29.0991i | 0.0669692 | − | 0.922041i | ||||
\(997\) | −52.0408 | + | 27.8164i | −1.64815 | + | 0.880954i | −0.656162 | + | 0.754620i | \(0.727821\pi\) |
−0.991988 | + | 0.126334i | \(0.959679\pi\) | |||||||
\(998\) | −12.5100 | − | 52.7553i | −0.395997 | − | 1.66994i | ||||
\(999\) | −1.78141 | + | 1.08080i | −0.0563612 | + | 0.0341951i |
(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.w.a.131.30 | ✓ | 992 | |
3.2 | odd | 2 | inner | 384.2.w.a.131.33 | yes | 992 | |
128.43 | odd | 32 | inner | 384.2.w.a.299.33 | yes | 992 | |
384.299 | even | 32 | inner | 384.2.w.a.299.30 | yes | 992 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
384.2.w.a.131.30 | ✓ | 992 | 1.1 | even | 1 | trivial | |
384.2.w.a.131.33 | yes | 992 | 3.2 | odd | 2 | inner | |
384.2.w.a.299.30 | yes | 992 | 384.299 | even | 32 | inner | |
384.2.w.a.299.33 | yes | 992 | 128.43 | odd | 32 | inner |