Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [690,2,Mod(7,690)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(690, base_ring=CyclotomicField(44))
chi = DirichletCharacter(H, H._module([0, 11, 38]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("690.7");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 690.w (of order \(44\), degree \(20\), 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: | \(5.50967773947\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{44})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{44}]$ |
Embedding invariants
Embedding label | 7.6 | ||
Character | \(\chi\) | \(=\) | 690.7 |
Dual form | 690.2.w.a.493.6 |
$q$-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 \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).
\(n\) | \(277\) | \(461\) | \(511\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(1\) | \(e\left(\frac{19}{22}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.997452 | + | 0.0713392i | −0.705305 | + | 0.0504444i | ||||
\(3\) | 0.212565 | − | 0.977147i | 0.122725 | − | 0.564156i | ||||
\(4\) | 0.989821 | − | 0.142315i | 0.494911 | − | 0.0711574i | ||||
\(5\) | 2.23599 | + | 0.0191781i | 0.999963 | + | 0.00857669i | ||||
\(6\) | −0.142315 | + | 0.989821i | −0.0580998 | + | 0.404093i | ||||
\(7\) | 0.197874 | − | 0.362379i | 0.0747893 | − | 0.136966i | −0.837608 | − | 0.546271i | \(-0.816047\pi\) |
0.912398 | + | 0.409305i | \(0.134229\pi\) | |||||||
\(8\) | −0.977147 | + | 0.212565i | −0.345474 | + | 0.0751532i | ||||
\(9\) | −0.909632 | − | 0.415415i | −0.303211 | − | 0.138472i | ||||
\(10\) | −2.23166 | + | 0.140384i | −0.705712 | + | 0.0443934i | ||||
\(11\) | 2.14545 | − | 1.85905i | 0.646878 | − | 0.560523i | −0.268419 | − | 0.963302i | \(-0.586501\pi\) |
0.915297 | + | 0.402779i | \(0.131956\pi\) | |||||||
\(12\) | 0.0713392 | − | 0.997452i | 0.0205938 | − | 0.287940i | ||||
\(13\) | 1.42292 | − | 0.776975i | 0.394648 | − | 0.215494i | −0.269656 | − | 0.962957i | \(-0.586910\pi\) |
0.664304 | + | 0.747463i | \(0.268728\pi\) | |||||||
\(14\) | −0.171518 | + | 0.375572i | −0.0458401 | + | 0.100376i | ||||
\(15\) | 0.494033 | − | 2.18081i | 0.127559 | − | 0.563083i | ||||
\(16\) | 0.959493 | − | 0.281733i | 0.239873 | − | 0.0704331i | ||||
\(17\) | −0.178490 | − | 0.238435i | −0.0432903 | − | 0.0578290i | 0.778374 | − | 0.627801i | \(-0.216045\pi\) |
−0.821664 | + | 0.569972i | \(0.806954\pi\) | |||||||
\(18\) | 0.936950 | + | 0.349464i | 0.220841 | + | 0.0823695i | ||||
\(19\) | 0.324029 | + | 2.25367i | 0.0743373 | + | 0.517027i | 0.992636 | + | 0.121138i | \(0.0386544\pi\) |
−0.918298 | + | 0.395889i | \(0.870437\pi\) | |||||||
\(20\) | 2.21596 | − | 0.299231i | 0.495503 | − | 0.0669101i | ||||
\(21\) | −0.312036 | − | 0.270381i | −0.0680919 | − | 0.0590020i | ||||
\(22\) | −2.00736 | + | 2.00736i | −0.427971 | + | 0.427971i | ||||
\(23\) | −0.593093 | − | 4.75902i | −0.123668 | − | 0.992324i | ||||
\(24\) | 1.00000i | 0.204124i | ||||||||
\(25\) | 4.99926 | + | 0.0857637i | 0.999853 | + | 0.0171527i | ||||
\(26\) | −1.36387 | + | 0.876506i | −0.267477 | + | 0.171897i | ||||
\(27\) | −0.599278 | + | 0.800541i | −0.115331 | + | 0.154064i | ||||
\(28\) | 0.144288 | − | 0.386851i | 0.0272678 | − | 0.0731079i | ||||
\(29\) | −2.51402 | − | 0.361462i | −0.466842 | − | 0.0671217i | −0.0951199 | − | 0.995466i | \(-0.530323\pi\) |
−0.371722 | + | 0.928344i | \(0.621233\pi\) | |||||||
\(30\) | −0.337197 | + | 2.21050i | −0.0615634 | + | 0.403580i | ||||
\(31\) | 5.05222 | + | 3.24687i | 0.907406 | + | 0.583154i | 0.908978 | − | 0.416844i | \(-0.136864\pi\) |
−0.00157191 | + | 0.999999i | \(0.500500\pi\) | |||||||
\(32\) | −0.936950 | + | 0.349464i | −0.165631 | + | 0.0617771i | ||||
\(33\) | −1.36051 | − | 2.49159i | −0.236835 | − | 0.433730i | ||||
\(34\) | 0.195045 | + | 0.225094i | 0.0334500 | + | 0.0386034i | ||||
\(35\) | 0.449393 | − | 0.806479i | 0.0759612 | − | 0.136320i | ||||
\(36\) | −0.959493 | − | 0.281733i | −0.159915 | − | 0.0469554i | ||||
\(37\) | 0.563033 | + | 1.50955i | 0.0925621 | + | 0.248169i | 0.974978 | − | 0.222302i | \(-0.0713570\pi\) |
−0.882416 | + | 0.470470i | \(0.844084\pi\) | |||||||
\(38\) | −0.483978 | − | 2.22481i | −0.0785116 | − | 0.360912i | ||||
\(39\) | −0.456755 | − | 1.55556i | −0.0731393 | − | 0.249090i | ||||
\(40\) | −2.18896 | + | 0.456553i | −0.346105 | + | 0.0721874i | ||||
\(41\) | 0.810149 | + | 1.77398i | 0.126524 | + | 0.277049i | 0.962284 | − | 0.272045i | \(-0.0877001\pi\) |
−0.835760 | + | 0.549094i | \(0.814973\pi\) | |||||||
\(42\) | 0.330530 | + | 0.247432i | 0.0510019 | + | 0.0381795i | ||||
\(43\) | −2.53575 | − | 0.551618i | −0.386698 | − | 0.0841210i | 0.0150136 | − | 0.999887i | \(-0.495221\pi\) |
−0.401711 | + | 0.915766i | \(0.631584\pi\) | |||||||
\(44\) | 1.85905 | − | 2.14545i | 0.280262 | − | 0.323439i | ||||
\(45\) | −2.02596 | − | 0.946307i | −0.302012 | − | 0.141067i | ||||
\(46\) | 0.931086 | + | 4.70458i | 0.137281 | + | 0.693653i | ||||
\(47\) | −8.55701 | − | 8.55701i | −1.24817 | − | 1.24817i | −0.956528 | − | 0.291640i | \(-0.905799\pi\) |
−0.291640 | − | 0.956528i | \(-0.594201\pi\) | |||||||
\(48\) | −0.0713392 | − | 0.997452i | −0.0102969 | − | 0.143970i | ||||
\(49\) | 3.69232 | + | 5.74536i | 0.527474 | + | 0.820766i | ||||
\(50\) | −4.99265 | + | 0.271098i | −0.706067 | + | 0.0383391i | ||||
\(51\) | −0.270927 | + | 0.123728i | −0.0379374 | + | 0.0173254i | ||||
\(52\) | 1.29787 | − | 0.971570i | 0.179982 | − | 0.134733i | ||||
\(53\) | −0.215564 | − | 0.117707i | −0.0296100 | − | 0.0161683i | 0.464376 | − | 0.885638i | \(-0.346279\pi\) |
−0.493986 | + | 0.869470i | \(0.664461\pi\) | |||||||
\(54\) | 0.540641 | − | 0.841254i | 0.0735719 | − | 0.114480i | ||||
\(55\) | 4.83285 | − | 4.11565i | 0.651662 | − | 0.554954i | ||||
\(56\) | −0.116323 | + | 0.396158i | −0.0155443 | + | 0.0529389i | ||||
\(57\) | 2.27104 | + | 0.162428i | 0.300807 | + | 0.0215141i | ||||
\(58\) | 2.53340 | + | 0.181192i | 0.332652 | + | 0.0237917i | ||||
\(59\) | 2.89074 | − | 9.84494i | 0.376342 | − | 1.28170i | −0.525928 | − | 0.850529i | \(-0.676282\pi\) |
0.902269 | − | 0.431173i | \(-0.141900\pi\) | |||||||
\(60\) | 0.178643 | − | 2.22892i | 0.0230627 | − | 0.287752i | ||||
\(61\) | 2.71054 | − | 4.21768i | 0.347049 | − | 0.540019i | −0.623220 | − | 0.782046i | \(-0.714176\pi\) |
0.970269 | + | 0.242027i | \(0.0778124\pi\) | |||||||
\(62\) | −5.27098 | − | 2.87817i | −0.669415 | − | 0.365528i | ||||
\(63\) | −0.330530 | + | 0.247432i | −0.0416429 | + | 0.0311735i | ||||
\(64\) | 0.909632 | − | 0.415415i | 0.113704 | − | 0.0519269i | ||||
\(65\) | 3.19654 | − | 1.71002i | 0.396482 | − | 0.212102i | ||||
\(66\) | 1.53479 | + | 2.38818i | 0.188920 | + | 0.293965i | ||||
\(67\) | −0.678110 | − | 9.48121i | −0.0828443 | − | 1.15831i | −0.853511 | − | 0.521076i | \(-0.825531\pi\) |
0.770666 | − | 0.637239i | \(-0.219924\pi\) | |||||||
\(68\) | −0.210606 | − | 0.210606i | −0.0255398 | − | 0.0255398i | ||||
\(69\) | −4.77633 | − | 0.432063i | −0.575002 | − | 0.0520143i | ||||
\(70\) | −0.390714 | + | 0.836483i | −0.0466993 | + | 0.0999789i | ||||
\(71\) | 0.0645553 | − | 0.0745008i | 0.00766131 | − | 0.00884162i | −0.751906 | − | 0.659270i | \(-0.770865\pi\) |
0.759567 | + | 0.650429i | \(0.225411\pi\) | |||||||
\(72\) | 0.977147 | + | 0.212565i | 0.115158 | + | 0.0250511i | ||||
\(73\) | 2.73613 | + | 2.04824i | 0.320239 | + | 0.239728i | 0.747288 | − | 0.664501i | \(-0.231356\pi\) |
−0.427048 | + | 0.904229i | \(0.640447\pi\) | |||||||
\(74\) | −0.669289 | − | 1.46554i | −0.0778033 | − | 0.170365i | ||||
\(75\) | 1.14647 | − | 4.86679i | 0.132383 | − | 0.561968i | ||||
\(76\) | 0.641461 | + | 2.18462i | 0.0735806 | + | 0.250593i | ||||
\(77\) | −0.249150 | − | 1.14532i | −0.0283932 | − | 0.130522i | ||||
\(78\) | 0.566564 | + | 1.51902i | 0.0641507 | + | 0.171995i | ||||
\(79\) | 8.99504 | + | 2.64118i | 1.01202 | + | 0.297156i | 0.745380 | − | 0.666640i | \(-0.232268\pi\) |
0.266641 | + | 0.963796i | \(0.414086\pi\) | |||||||
\(80\) | 2.15082 | − | 0.611549i | 0.240469 | − | 0.0683732i | ||||
\(81\) | 0.654861 | + | 0.755750i | 0.0727623 | + | 0.0839722i | ||||
\(82\) | −0.934638 | − | 1.71166i | −0.103214 | − | 0.189022i | ||||
\(83\) | 11.4503 | − | 4.27074i | 1.25683 | − | 0.468775i | 0.369211 | − | 0.929346i | \(-0.379628\pi\) |
0.887623 | + | 0.460571i | \(0.152355\pi\) | |||||||
\(84\) | −0.347339 | − | 0.223221i | −0.0378978 | − | 0.0243555i | ||||
\(85\) | −0.394529 | − | 0.536561i | −0.0427927 | − | 0.0581982i | ||||
\(86\) | 2.56864 | + | 0.369314i | 0.276983 | + | 0.0398242i | ||||
\(87\) | −0.887595 | + | 2.37973i | −0.0951601 | + | 0.255134i | ||||
\(88\) | −1.70125 | + | 2.27261i | −0.181354 | + | 0.242261i | ||||
\(89\) | −2.18067 | + | 1.40143i | −0.231151 | + | 0.148552i | −0.651090 | − | 0.759001i | \(-0.725688\pi\) |
0.419939 | + | 0.907552i | \(0.362051\pi\) | |||||||
\(90\) | 2.08830 | + | 0.799366i | 0.220127 | + | 0.0842606i | ||||
\(91\) | − | 0.669381i | − | 0.0701702i | ||||||
\(92\) | −1.26433 | − | 4.62617i | −0.131816 | − | 0.482312i | ||||
\(93\) | 4.24659 | − | 4.24659i | 0.440351 | − | 0.440351i | ||||
\(94\) | 9.14566 | + | 7.92476i | 0.943303 | + | 0.817376i | ||||
\(95\) | 0.681303 | + | 5.04539i | 0.0699002 | + | 0.517646i | ||||
\(96\) | 0.142315 | + | 0.989821i | 0.0145249 | + | 0.101023i | ||||
\(97\) | −8.48000 | − | 3.16288i | −0.861013 | − | 0.321141i | −0.120116 | − | 0.992760i | \(-0.538327\pi\) |
−0.740897 | + | 0.671619i | \(0.765599\pi\) | |||||||
\(98\) | −4.09278 | − | 5.46732i | −0.413434 | − | 0.552283i | ||||
\(99\) | −2.72385 | + | 0.799794i | −0.273757 | + | 0.0803823i | ||||
\(100\) | 4.96058 | − | 0.626579i | 0.496058 | − | 0.0626579i | ||||
\(101\) | 0.00234615 | − | 0.00513735i | 0.000233451 | − | 0.000511186i | −0.909515 | − | 0.415671i | \(-0.863547\pi\) |
0.909749 | + | 0.415159i | \(0.136274\pi\) | |||||||
\(102\) | 0.261410 | − | 0.142741i | 0.0258835 | − | 0.0141334i | ||||
\(103\) | −0.723934 | + | 10.1219i | −0.0713313 | + | 0.997342i | 0.828185 | + | 0.560455i | \(0.189374\pi\) |
−0.899516 | + | 0.436887i | \(0.856081\pi\) | |||||||
\(104\) | −1.22525 | + | 1.06168i | −0.120145 | + | 0.104107i | ||||
\(105\) | −0.692523 | − | 0.610552i | −0.0675833 | − | 0.0595838i | ||||
\(106\) | 0.223412 | + | 0.102029i | 0.0216997 | + | 0.00990990i | ||||
\(107\) | −5.50331 | + | 1.19717i | −0.532025 | + | 0.115735i | −0.470549 | − | 0.882374i | \(-0.655944\pi\) |
−0.0614754 | + | 0.998109i | \(0.519581\pi\) | |||||||
\(108\) | −0.479249 | + | 0.877679i | −0.0461158 | + | 0.0844547i | ||||
\(109\) | −2.57596 | + | 17.9162i | −0.246732 | + | 1.71606i | 0.370121 | + | 0.928984i | \(0.379316\pi\) |
−0.616853 | + | 0.787078i | \(0.711593\pi\) | |||||||
\(110\) | −4.52693 | + | 4.44994i | −0.431626 | + | 0.424285i | ||||
\(111\) | 1.59473 | − | 0.229288i | 0.151365 | − | 0.0217631i | ||||
\(112\) | 0.0877646 | − | 0.403447i | 0.00829298 | − | 0.0381222i | ||||
\(113\) | −6.78091 | + | 0.484980i | −0.637894 | + | 0.0456231i | −0.386541 | − | 0.922272i | \(-0.626330\pi\) |
−0.251353 | + | 0.967895i | \(0.580876\pi\) | |||||||
\(114\) | −2.27684 | −0.213246 | ||||||||
\(115\) | −1.23488 | − | 10.6525i | −0.115153 | − | 0.993348i | ||||
\(116\) | −2.53987 | −0.235821 | ||||||||
\(117\) | −1.61710 | + | 0.115658i | −0.149501 | + | 0.0106926i | ||||
\(118\) | −2.18104 | + | 10.0261i | −0.200781 | + | 0.922976i | ||||
\(119\) | −0.121722 | + | 0.0175010i | −0.0111583 | + | 0.00160432i | ||||
\(120\) | −0.0191781 | + | 2.23599i | −0.00175071 | + | 0.204117i | ||||
\(121\) | −0.418546 | + | 2.91105i | −0.0380496 | + | 0.264641i | ||||
\(122\) | −2.40275 | + | 4.40030i | −0.217535 | + | 0.398385i | ||||
\(123\) | 1.90565 | − | 0.414548i | 0.171826 | − | 0.0373785i | ||||
\(124\) | 5.46288 | + | 2.49481i | 0.490581 | + | 0.224041i | ||||
\(125\) | 11.1766 | + | 0.287643i | 0.999669 | + | 0.0257275i | ||||
\(126\) | 0.312036 | − | 0.270381i | 0.0277984 | − | 0.0240874i | ||||
\(127\) | 0.274295 | − | 3.83515i | 0.0243398 | − | 0.340314i | −0.970661 | − | 0.240451i | \(-0.922705\pi\) |
0.995001 | − | 0.0998638i | \(-0.0318407\pi\) | |||||||
\(128\) | −0.877679 | + | 0.479249i | −0.0775766 | + | 0.0423600i | ||||
\(129\) | −1.07802 | + | 2.36054i | −0.0949147 | + | 0.207834i | ||||
\(130\) | −3.06640 | + | 1.93370i | −0.268941 | + | 0.169597i | ||||
\(131\) | −13.7618 | + | 4.04084i | −1.20238 | + | 0.353050i | −0.820761 | − | 0.571272i | \(-0.806450\pi\) |
−0.381615 | + | 0.924321i | \(0.624632\pi\) | |||||||
\(132\) | −1.70125 | − | 2.27261i | −0.148075 | − | 0.197805i | ||||
\(133\) | 0.880799 | + | 0.328521i | 0.0763749 | + | 0.0284864i | ||||
\(134\) | 1.35276 | + | 9.40868i | 0.116861 | + | 0.812786i | ||||
\(135\) | −1.35533 | + | 1.77851i | −0.116648 | + | 0.153069i | ||||
\(136\) | 0.225094 | + | 0.195045i | 0.0193017 | + | 0.0167250i | ||||
\(137\) | −14.5329 | + | 14.5329i | −1.24163 | + | 1.24163i | −0.282304 | + | 0.959325i | \(0.591099\pi\) |
−0.959325 | + | 0.282304i | \(0.908901\pi\) | |||||||
\(138\) | 4.79498 | + | 0.0902227i | 0.408176 | + | 0.00768027i | ||||
\(139\) | 5.15359i | 0.437122i | 0.975823 | + | 0.218561i | \(0.0701362\pi\) | ||||
−0.975823 | + | 0.218561i | \(0.929864\pi\) | |||||||
\(140\) | 0.330045 | − | 0.862225i | 0.0278939 | − | 0.0728714i | ||||
\(141\) | −10.1804 | + | 6.54253i | −0.857343 | + | 0.550981i | ||||
\(142\) | −0.0590760 | + | 0.0789163i | −0.00495755 | + | 0.00662251i | ||||
\(143\) | 1.60838 | − | 4.31224i | 0.134500 | − | 0.360608i | ||||
\(144\) | −0.989821 | − | 0.142315i | −0.0824851 | − | 0.0118596i | ||||
\(145\) | −5.61438 | − | 0.856437i | −0.466249 | − | 0.0711232i | ||||
\(146\) | −2.87527 | − | 1.84783i | −0.237959 | − | 0.152927i | ||||
\(147\) | 6.39892 | − | 2.38668i | 0.527774 | − | 0.196850i | ||||
\(148\) | 0.772134 | + | 1.41406i | 0.0634690 | + | 0.116235i | ||||
\(149\) | 13.3672 | + | 15.4266i | 1.09508 | + | 1.26379i | 0.962106 | + | 0.272675i | \(0.0879083\pi\) |
0.132977 | + | 0.991119i | \(0.457546\pi\) | |||||||
\(150\) | −0.796360 | + | 4.93617i | −0.0650225 | + | 0.403037i | ||||
\(151\) | −15.9223 | − | 4.67522i | −1.29574 | − | 0.380464i | −0.440061 | − | 0.897968i | \(-0.645043\pi\) |
−0.855681 | + | 0.517504i | \(0.826861\pi\) | |||||||
\(152\) | −0.795675 | − | 2.13329i | −0.0645378 | − | 0.173033i | ||||
\(153\) | 0.0633110 | + | 0.291036i | 0.00511839 | + | 0.0235289i | ||||
\(154\) | 0.330221 | + | 1.12463i | 0.0266100 | + | 0.0906253i | ||||
\(155\) | 11.2344 | + | 7.35684i | 0.902371 | + | 0.590915i | ||||
\(156\) | −0.673486 | − | 1.47473i | −0.0539220 | − | 0.118073i | ||||
\(157\) | 8.74818 | + | 6.54881i | 0.698181 | + | 0.522652i | 0.888389 | − | 0.459092i | \(-0.151825\pi\) |
−0.190208 | + | 0.981744i | \(0.560916\pi\) | |||||||
\(158\) | −9.16054 | − | 1.99275i | −0.728773 | − | 0.158535i | ||||
\(159\) | −0.160838 | + | 0.185617i | −0.0127553 | + | 0.0147204i | ||||
\(160\) | −2.10171 | + | 0.763428i | −0.166155 | + | 0.0603543i | ||||
\(161\) | −1.84192 | − | 0.726760i | −0.145164 | − | 0.0572767i | ||||
\(162\) | −0.707107 | − | 0.707107i | −0.0555556 | − | 0.0555556i | ||||
\(163\) | −0.433914 | − | 6.06691i | −0.0339868 | − | 0.475197i | −0.985734 | − | 0.168313i | \(-0.946168\pi\) |
0.951747 | − | 0.306884i | \(-0.0992865\pi\) | |||||||
\(164\) | 1.05437 | + | 1.64063i | 0.0823321 | + | 0.128111i | ||||
\(165\) | −2.99430 | − | 5.59725i | −0.233106 | − | 0.435746i | ||||
\(166\) | −11.1165 | + | 5.07671i | −0.862804 | + | 0.394029i | ||||
\(167\) | −3.11016 | + | 2.32824i | −0.240672 | + | 0.180165i | −0.712804 | − | 0.701363i | \(-0.752575\pi\) |
0.472133 | + | 0.881528i | \(0.343484\pi\) | |||||||
\(168\) | 0.362379 | + | 0.197874i | 0.0279581 | + | 0.0152663i | ||||
\(169\) | −5.60731 | + | 8.72514i | −0.431331 | + | 0.671165i | ||||
\(170\) | 0.431802 | + | 0.507048i | 0.0331177 | + | 0.0388888i | ||||
\(171\) | 0.641461 | − | 2.18462i | 0.0490538 | − | 0.167062i | ||||
\(172\) | −2.58844 | − | 0.185129i | −0.197367 | − | 0.0141159i | ||||
\(173\) | 3.02939 | + | 0.216666i | 0.230320 | + | 0.0164728i | 0.186022 | − | 0.982546i | \(-0.440440\pi\) |
0.0442981 | + | 0.999018i | \(0.485895\pi\) | |||||||
\(174\) | 0.715565 | − | 2.43699i | 0.0542468 | − | 0.184748i | ||||
\(175\) | 1.02030 | − | 1.79466i | 0.0771276 | − | 0.135663i | ||||
\(176\) | 1.53479 | − | 2.38818i | 0.115689 | − | 0.180016i | ||||
\(177\) | −9.00548 | − | 4.91737i | −0.676894 | − | 0.369612i | ||||
\(178\) | 2.07514 | − | 1.55343i | 0.155538 | − | 0.116434i | ||||
\(179\) | 0.378685 | − | 0.172940i | 0.0283042 | − | 0.0129261i | −0.401213 | − | 0.915985i | \(-0.631411\pi\) |
0.429517 | + | 0.903059i | \(0.358684\pi\) | |||||||
\(180\) | −2.14001 | − | 0.648351i | −0.159507 | − | 0.0483252i | ||||
\(181\) | −6.52017 | − | 10.1456i | −0.484641 | − | 0.754115i | 0.509700 | − | 0.860352i | \(-0.329756\pi\) |
−0.994341 | + | 0.106237i | \(0.966120\pi\) | |||||||
\(182\) | 0.0477531 | + | 0.667675i | 0.00353969 | + | 0.0494914i | ||||
\(183\) | −3.54513 | − | 3.54513i | −0.262063 | − | 0.262063i | ||||
\(184\) | 1.59114 | + | 4.52419i | 0.117300 | + | 0.333528i | ||||
\(185\) | 1.22998 | + | 3.38613i | 0.0904303 | + | 0.248953i | ||||
\(186\) | −3.93282 | + | 4.53872i | −0.288369 | + | 0.332795i | ||||
\(187\) | −0.826204 | − | 0.179730i | −0.0604180 | − | 0.0131431i | ||||
\(188\) | −9.68770 | − | 7.25212i | −0.706548 | − | 0.528915i | ||||
\(189\) | 0.171518 | + | 0.375572i | 0.0124761 | + | 0.0273188i | ||||
\(190\) | −1.03950 | − | 4.98393i | −0.0754133 | − | 0.361572i | ||||
\(191\) | 1.64228 | + | 5.59309i | 0.118831 | + | 0.404702i | 0.997329 | − | 0.0730451i | \(-0.0232717\pi\) |
−0.878497 | + | 0.477747i | \(0.841454\pi\) | |||||||
\(192\) | −0.212565 | − | 0.977147i | −0.0153406 | − | 0.0705195i | ||||
\(193\) | 5.99381 | + | 16.0700i | 0.431444 | + | 1.15675i | 0.952851 | + | 0.303438i | \(0.0981345\pi\) |
−0.521407 | + | 0.853308i | \(0.674593\pi\) | |||||||
\(194\) | 8.68403 | + | 2.54986i | 0.623477 | + | 0.183069i | ||||
\(195\) | −0.991465 | − | 3.48698i | −0.0710003 | − | 0.249708i | ||||
\(196\) | 4.47239 | + | 5.16141i | 0.319456 | + | 0.368672i | ||||
\(197\) | −1.67733 | − | 3.07181i | −0.119505 | − | 0.218857i | 0.811078 | − | 0.584938i | \(-0.198881\pi\) |
−0.930583 | + | 0.366081i | \(0.880699\pi\) | |||||||
\(198\) | 2.65985 | − | 0.992073i | 0.189027 | − | 0.0705036i | ||||
\(199\) | −6.46522 | − | 4.15494i | −0.458307 | − | 0.294536i | 0.291043 | − | 0.956710i | \(-0.405998\pi\) |
−0.749350 | + | 0.662174i | \(0.769634\pi\) | |||||||
\(200\) | −4.90325 | + | 0.978866i | −0.346712 | + | 0.0692163i | ||||
\(201\) | −9.40868 | − | 1.35276i | −0.663637 | − | 0.0954166i | ||||
\(202\) | −0.00197368 | + | 0.00529164i | −0.000138868 | + | 0.000372318i | ||||
\(203\) | −0.628445 | + | 0.839504i | −0.0441082 | + | 0.0589216i | ||||
\(204\) | −0.250561 | + | 0.161026i | −0.0175428 | + | 0.0112741i | ||||
\(205\) | 1.77746 | + | 3.98213i | 0.124143 | + | 0.278124i | ||||
\(206\) | − | 10.1478i | − | 0.707029i | ||||||
\(207\) | −1.43747 | + | 4.57533i | −0.0999111 | + | 0.318008i | ||||
\(208\) | 1.14639 | − | 1.14639i | 0.0794876 | − | 0.0794876i | ||||
\(209\) | 4.88486 | + | 4.23276i | 0.337893 | + | 0.292786i | ||||
\(210\) | 0.734315 | + | 0.559592i | 0.0506725 | + | 0.0386155i | ||||
\(211\) | 2.39699 | + | 16.6714i | 0.165016 | + | 1.14771i | 0.889005 | + | 0.457897i | \(0.151397\pi\) |
−0.723990 | + | 0.689811i | \(0.757694\pi\) | |||||||
\(212\) | −0.230121 | − | 0.0858307i | −0.0158048 | − | 0.00589488i | ||||
\(213\) | −0.0590760 | − | 0.0789163i | −0.00404782 | − | 0.00540726i | ||||
\(214\) | 5.40388 | − | 1.58672i | 0.369402 | − | 0.108466i | ||||
\(215\) | −5.65932 | − | 1.28204i | −0.385962 | − | 0.0874345i | ||||
\(216\) | 0.415415 | − | 0.909632i | 0.0282654 | − | 0.0618926i | ||||
\(217\) | 2.17630 | − | 1.18835i | 0.147737 | − | 0.0806704i | ||||
\(218\) | 1.29127 | − | 18.0543i | 0.0874559 | − | 1.22279i | ||||
\(219\) | 2.58304 | − | 2.23821i | 0.174545 | − | 0.151244i | ||||
\(220\) | 4.19794 | − | 4.76155i | 0.283025 | − | 0.321023i | ||||
\(221\) | −0.439237 | − | 0.200593i | −0.0295462 | − | 0.0134933i | ||||
\(222\) | −1.57431 | + | 0.342471i | −0.105661 | + | 0.0229852i | ||||
\(223\) | −2.23405 | + | 4.09136i | −0.149603 | + | 0.273978i | −0.941724 | − | 0.336387i | \(-0.890795\pi\) |
0.792121 | + | 0.610364i | \(0.208977\pi\) | |||||||
\(224\) | −0.0587594 | + | 0.408681i | −0.00392603 | + | 0.0273061i | ||||
\(225\) | −4.51186 | − | 2.15478i | −0.300791 | − | 0.143652i | ||||
\(226\) | 6.72903 | − | 0.967489i | 0.447609 | − | 0.0643564i | ||||
\(227\) | −4.56410 | + | 20.9808i | −0.302930 | + | 1.39255i | 0.534115 | + | 0.845412i | \(0.320645\pi\) |
−0.837045 | + | 0.547135i | \(0.815719\pi\) | |||||||
\(228\) | 2.27104 | − | 0.162428i | 0.150403 | − | 0.0107571i | ||||
\(229\) | −9.64469 | −0.637339 | −0.318670 | − | 0.947866i | \(-0.603236\pi\) | ||||
−0.318670 | + | 0.947866i | \(0.603236\pi\) | |||||||
\(230\) | 1.99167 | + | 10.5372i | 0.131327 | + | 0.694804i | ||||
\(231\) | −1.17211 | −0.0771191 | ||||||||
\(232\) | 2.53340 | − | 0.181192i | 0.166326 | − | 0.0118959i | ||||
\(233\) | −0.112867 | + | 0.518841i | −0.00739416 | + | 0.0339904i | −0.980696 | − | 0.195538i | \(-0.937355\pi\) |
0.973302 | + | 0.229528i | \(0.0737184\pi\) | |||||||
\(234\) | 1.60473 | − | 0.230726i | 0.104905 | − | 0.0150830i | ||||
\(235\) | −18.9692 | − | 19.2975i | −1.23742 | − | 1.25883i | ||||
\(236\) | 1.46023 | − | 10.1561i | 0.0950529 | − | 0.661108i | ||||
\(237\) | 4.49285 | − | 8.22805i | 0.291842 | − | 0.534469i | ||||
\(238\) | 0.120164 | − | 0.0261400i | 0.00778906 | − | 0.00169441i | ||||
\(239\) | 17.1202 | + | 7.81855i | 1.10742 | + | 0.505740i | 0.883293 | − | 0.468821i | \(-0.155321\pi\) |
0.224123 | + | 0.974561i | \(0.428048\pi\) | |||||||
\(240\) | −0.140384 | − | 2.23166i | −0.00906176 | − | 0.144053i | ||||
\(241\) | −7.43182 | + | 6.43971i | −0.478726 | + | 0.414818i | −0.860510 | − | 0.509433i | \(-0.829855\pi\) |
0.381785 | + | 0.924251i | \(0.375310\pi\) | |||||||
\(242\) | 0.209808 | − | 2.93349i | 0.0134869 | − | 0.188572i | ||||
\(243\) | 0.877679 | − | 0.479249i | 0.0563031 | − | 0.0307438i | ||||
\(244\) | 2.08271 | − | 4.56050i | 0.133332 | − | 0.291956i | ||||
\(245\) | 8.14579 | + | 12.9174i | 0.520416 | + | 0.825260i | ||||
\(246\) | −1.87122 | + | 0.549439i | −0.119304 | + | 0.0350310i | ||||
\(247\) | 2.21211 | + | 2.95504i | 0.140753 | + | 0.188025i | ||||
\(248\) | −5.62693 | − | 2.09874i | −0.357311 | − | 0.133270i | ||||
\(249\) | −1.73920 | − | 12.0964i | −0.110218 | − | 0.766580i | ||||
\(250\) | −11.1687 | + | 0.510423i | −0.706370 | + | 0.0322820i | ||||
\(251\) | −2.64381 | − | 2.29087i | −0.166876 | − | 0.144599i | 0.567420 | − | 0.823429i | \(-0.307942\pi\) |
−0.734295 | + | 0.678830i | \(0.762487\pi\) | |||||||
\(252\) | −0.291952 | + | 0.291952i | −0.0183913 | + | 0.0183913i | ||||
\(253\) | −10.1197 | − | 9.10766i | −0.636219 | − | 0.572594i | ||||
\(254\) | 3.84495i | 0.241253i | ||||||||
\(255\) | −0.608162 | + | 0.271459i | −0.0380846 | + | 0.0169994i | ||||
\(256\) | 0.841254 | − | 0.540641i | 0.0525783 | − | 0.0337901i | ||||
\(257\) | 1.64385 | − | 2.19593i | 0.102541 | − | 0.136978i | −0.746336 | − | 0.665570i | \(-0.768189\pi\) |
0.848876 | + | 0.528591i | \(0.177280\pi\) | |||||||
\(258\) | 0.906878 | − | 2.43143i | 0.0564597 | − | 0.151374i | ||||
\(259\) | 0.658439 | + | 0.0946692i | 0.0409134 | + | 0.00588246i | ||||
\(260\) | 2.92064 | − | 2.14753i | 0.181131 | − | 0.133184i | ||||
\(261\) | 2.13668 | + | 1.37316i | 0.132257 | + | 0.0849964i | ||||
\(262\) | 13.4385 | − | 5.01230i | 0.830233 | − | 0.309661i | ||||
\(263\) | 9.12595 | + | 16.7129i | 0.562730 | + | 1.03056i | 0.991862 | + | 0.127321i | \(0.0406379\pi\) |
−0.429131 | + | 0.903242i | \(0.641180\pi\) | |||||||
\(264\) | 1.85905 | + | 2.14545i | 0.114416 | + | 0.132043i | ||||
\(265\) | −0.479740 | − | 0.267325i | −0.0294702 | − | 0.0164216i | ||||
\(266\) | −0.901991 | − | 0.264848i | −0.0553046 | − | 0.0162389i | ||||
\(267\) | 0.905870 | + | 2.42873i | 0.0554384 | + | 0.148636i | ||||
\(268\) | −2.02052 | − | 9.28820i | −0.123423 | − | 0.567367i | ||||
\(269\) | 4.32232 | + | 14.7205i | 0.263537 | + | 0.897523i | 0.979848 | + | 0.199743i | \(0.0640107\pi\) |
−0.716312 | + | 0.697780i | \(0.754171\pi\) | |||||||
\(270\) | 1.22500 | − | 1.87066i | 0.0745511 | − | 0.113845i | ||||
\(271\) | −3.33464 | − | 7.30184i | −0.202565 | − | 0.443555i | 0.780899 | − | 0.624657i | \(-0.214761\pi\) |
−0.983464 | + | 0.181101i | \(0.942034\pi\) | |||||||
\(272\) | −0.238435 | − | 0.178490i | −0.0144573 | − | 0.0108226i | ||||
\(273\) | −0.654083 | − | 0.142287i | −0.0395869 | − | 0.00861161i | ||||
\(274\) | 13.4591 | − | 15.5326i | 0.813094 | − | 0.938361i | ||||
\(275\) | 10.8851 | − | 9.10986i | 0.656398 | − | 0.549345i | ||||
\(276\) | −4.78920 | + | 0.252077i | −0.288276 | + | 0.0151733i | ||||
\(277\) | −9.50184 | − | 9.50184i | −0.570910 | − | 0.570910i | 0.361473 | − | 0.932383i | \(-0.382274\pi\) |
−0.932383 | + | 0.361473i | \(0.882274\pi\) | |||||||
\(278\) | −0.367653 | − | 5.14046i | −0.0220504 | − | 0.308304i | ||||
\(279\) | −3.24687 | − | 5.05222i | −0.194385 | − | 0.302469i | ||||
\(280\) | −0.267693 | + | 0.883574i | −0.0159977 | + | 0.0528036i | ||||
\(281\) | 2.69353 | − | 1.23010i | 0.160683 | − | 0.0733813i | −0.333450 | − | 0.942768i | \(-0.608213\pi\) |
0.494133 | + | 0.869386i | \(0.335486\pi\) | |||||||
\(282\) | 9.68770 | − | 7.25212i | 0.576894 | − | 0.431858i | ||||
\(283\) | 22.2311 | + | 12.1391i | 1.32150 | + | 0.721595i | 0.976195 | − | 0.216895i | \(-0.0695930\pi\) |
0.345307 | + | 0.938490i | \(0.387775\pi\) | |||||||
\(284\) | 0.0532957 | − | 0.0829297i | 0.00316252 | − | 0.00492097i | ||||
\(285\) | 5.07490 | + | 0.406741i | 0.300611 | + | 0.0240933i | ||||
\(286\) | −1.29665 | + | 4.41600i | −0.0766728 | + | 0.261123i | ||||
\(287\) | 0.803159 | + | 0.0574431i | 0.0474090 | + | 0.00339076i | ||||
\(288\) | 0.997452 | + | 0.0713392i | 0.0587754 | + | 0.00420370i | ||||
\(289\) | 4.76446 | − | 16.2263i | 0.280262 | − | 0.954486i | ||||
\(290\) | 5.66117 | + | 0.453729i | 0.332436 | + | 0.0266439i | ||||
\(291\) | −4.89315 | + | 7.61389i | −0.286841 | + | 0.446334i | ||||
\(292\) | 2.99977 | + | 1.63800i | 0.175548 | + | 0.0958566i | ||||
\(293\) | 3.16739 | − | 2.37108i | 0.185041 | − | 0.138520i | −0.502742 | − | 0.864437i | \(-0.667675\pi\) |
0.687782 | + | 0.725917i | \(0.258584\pi\) | |||||||
\(294\) | −6.21236 | + | 2.83709i | −0.362312 | + | 0.165462i | ||||
\(295\) | 6.65245 | − | 21.9577i | 0.387321 | − | 1.27843i | ||||
\(296\) | −0.871044 | − | 1.35537i | −0.0506284 | − | 0.0787794i | ||||
\(297\) | 0.202521 | + | 2.83161i | 0.0117514 | + | 0.164307i | ||||
\(298\) | −14.4337 | − | 14.4337i | −0.836119 | − | 0.836119i | ||||
\(299\) | −4.54157 | − | 6.31090i | −0.262646 | − | 0.364969i | ||||
\(300\) | 0.442189 | − | 4.98041i | 0.0255298 | − | 0.287544i | ||||
\(301\) | −0.701653 | + | 0.809750i | −0.0404426 | + | 0.0466732i | ||||
\(302\) | 16.2153 | + | 3.52742i | 0.933086 | + | 0.202980i | ||||
\(303\) | −0.00452124 | − | 0.00338456i | −0.000259738 | − | 0.000194438i | ||||
\(304\) | 0.945835 | + | 2.07109i | 0.0542474 | + | 0.118785i | ||||
\(305\) | 6.14161 | − | 9.37869i | 0.351668 | − | 0.537022i | ||||
\(306\) | −0.0839119 | − | 0.285778i | −0.00479692 | − | 0.0163368i | ||||
\(307\) | 2.66134 | + | 12.2340i | 0.151891 | + | 0.698231i | 0.988598 | + | 0.150580i | \(0.0481141\pi\) |
−0.836707 | + | 0.547651i | \(0.815522\pi\) | |||||||
\(308\) | −0.409610 | − | 1.09821i | −0.0233397 | − | 0.0625762i | ||||
\(309\) | 9.73672 | + | 2.85896i | 0.553903 | + | 0.162640i | ||||
\(310\) | −11.7306 | − | 6.53664i | −0.666255 | − | 0.371256i | ||||
\(311\) | 7.82401 | + | 9.02938i | 0.443659 | + | 0.512009i | 0.932898 | − | 0.360140i | \(-0.117271\pi\) |
−0.489240 | + | 0.872149i | \(0.662726\pi\) | |||||||
\(312\) | 0.776975 | + | 1.42292i | 0.0439876 | + | 0.0805572i | ||||
\(313\) | 10.4092 | − | 3.88241i | 0.588360 | − | 0.219447i | −0.0376121 | − | 0.999292i | \(-0.511975\pi\) |
0.625972 | + | 0.779845i | \(0.284702\pi\) | |||||||
\(314\) | −9.19308 | − | 5.90804i | −0.518796 | − | 0.333410i | ||||
\(315\) | −0.743805 | + | 0.546915i | −0.0419087 | + | 0.0308151i | ||||
\(316\) | 9.27936 | + | 1.33417i | 0.522005 | + | 0.0750530i | ||||
\(317\) | −10.8693 | + | 29.1418i | −0.610482 | + | 1.63677i | 0.150964 | + | 0.988539i | \(0.451762\pi\) |
−0.761447 | + | 0.648228i | \(0.775511\pi\) | |||||||
\(318\) | 0.147187 | − | 0.196618i | 0.00825381 | − | 0.0110258i | ||||
\(319\) | −6.06568 | + | 3.89818i | −0.339613 | + | 0.218256i | ||||
\(320\) | 2.04189 | − | 0.911417i | 0.114145 | − | 0.0509498i | ||||
\(321\) | 5.63202i | 0.314348i | ||||||||
\(322\) | 1.88908 | + | 0.593507i | 0.105274 | + | 0.0330749i | ||||
\(323\) | 0.479518 | − | 0.479518i | 0.0266811 | − | 0.0266811i | ||||
\(324\) | 0.755750 | + | 0.654861i | 0.0419861 | + | 0.0363812i | ||||
\(325\) | 7.18021 | − | 3.76227i | 0.398286 | − | 0.208693i | ||||
\(326\) | 0.865617 | + | 6.02050i | 0.0479421 | + | 0.333445i | ||||
\(327\) | 16.9592 | + | 6.32546i | 0.937846 | + | 0.349799i | ||||
\(328\) | −1.16872 | − | 1.56123i | −0.0645318 | − | 0.0862044i | ||||
\(329\) | −4.79409 | + | 1.40767i | −0.264307 | + | 0.0776074i | ||||
\(330\) | 3.38597 | + | 5.36938i | 0.186392 | + | 0.295575i | ||||
\(331\) | 11.1286 | − | 24.3683i | 0.611685 | − | 1.33940i | −0.309730 | − | 0.950824i | \(-0.600239\pi\) |
0.921415 | − | 0.388579i | \(-0.127034\pi\) | |||||||
\(332\) | 10.7260 | − | 5.85682i | 0.588664 | − | 0.321435i | ||||
\(333\) | 0.114937 | − | 1.60703i | 0.00629851 | − | 0.0880646i | ||||
\(334\) | 2.93615 | − | 2.54418i | 0.160659 | − | 0.139212i | ||||
\(335\) | −1.33441 | − | 21.2129i | −0.0729067 | − | 1.15898i | ||||
\(336\) | −0.375572 | − | 0.171518i | −0.0204891 | − | 0.00935706i | ||||
\(337\) | −12.9363 | + | 2.81413i | −0.704687 | + | 0.153295i | −0.550609 | − | 0.834763i | \(-0.685604\pi\) |
−0.154078 | + | 0.988059i | \(0.549241\pi\) | |||||||
\(338\) | 4.97058 | − | 9.10293i | 0.270364 | − | 0.495134i | ||||
\(339\) | −0.967489 | + | 6.72903i | −0.0525468 | + | 0.365471i | ||||
\(340\) | −0.466874 | − | 0.474952i | −0.0253198 | − | 0.0257579i | ||||
\(341\) | 16.8754 | − | 2.42631i | 0.913853 | − | 0.131392i | ||||
\(342\) | −0.483978 | + | 2.22481i | −0.0261705 | + | 0.120304i | ||||
\(343\) | 5.69543 | − | 0.407345i | 0.307524 | − | 0.0219946i | ||||
\(344\) | 2.59505 | 0.139916 | ||||||||
\(345\) | −10.6715 | − | 1.05769i | −0.574535 | − | 0.0569440i | ||||
\(346\) | −3.03713 | −0.163277 | ||||||||
\(347\) | −29.2590 | + | 2.09264i | −1.57070 | + | 0.112339i | −0.829332 | − | 0.558756i | \(-0.811279\pi\) |
−0.741371 | + | 0.671095i | \(0.765824\pi\) | |||||||
\(348\) | −0.539889 | + | 2.48183i | −0.0289411 | + | 0.133040i | ||||
\(349\) | −11.1507 | + | 1.60323i | −0.596885 | + | 0.0858191i | −0.434134 | − | 0.900848i | \(-0.642946\pi\) |
−0.162750 | + | 0.986667i | \(0.552037\pi\) | |||||||
\(350\) | −0.889673 | + | 1.86287i | −0.0475550 | + | 0.0995747i | ||||
\(351\) | −0.230726 | + | 1.60473i | −0.0123152 | + | 0.0856543i | ||||
\(352\) | −1.36051 | + | 2.49159i | −0.0725155 | + | 0.132802i | ||||
\(353\) | −2.97630 | + | 0.647454i | −0.158412 | + | 0.0344605i | −0.291072 | − | 0.956701i | \(-0.594012\pi\) |
0.132660 | + | 0.991162i | \(0.457648\pi\) | |||||||
\(354\) | 9.33334 | + | 4.26239i | 0.496061 | + | 0.226544i | ||||
\(355\) | 0.145774 | − | 0.165345i | 0.00773686 | − | 0.00877559i | ||||
\(356\) | −1.95903 | + | 1.69751i | −0.103828 | + | 0.0899679i | ||||
\(357\) | −0.00877287 | + | 0.122661i | −0.000464310 | + | 0.00649190i | ||||
\(358\) | −0.365383 | + | 0.199514i | −0.0193111 | + | 0.0105446i | ||||
\(359\) | 12.5296 | − | 27.4360i | 0.661287 | − | 1.44802i | −0.220031 | − | 0.975493i | \(-0.570616\pi\) |
0.881318 | − | 0.472524i | \(-0.156657\pi\) | |||||||
\(360\) | 2.18081 | + | 0.494033i | 0.114939 | + | 0.0260378i | ||||
\(361\) | 13.2563 | − | 3.89241i | 0.697702 | − | 0.204864i | ||||
\(362\) | 7.22734 | + | 9.65459i | 0.379860 | + | 0.507434i | ||||
\(363\) | 2.75556 | + | 1.02777i | 0.144629 | + | 0.0539439i | ||||
\(364\) | −0.0952628 | − | 0.662567i | −0.00499313 | − | 0.0347280i | ||||
\(365\) | 6.07866 | + | 4.63231i | 0.318172 | + | 0.242466i | ||||
\(366\) | 3.78900 | + | 3.28319i | 0.198054 | + | 0.171615i | ||||
\(367\) | −4.54422 | + | 4.54422i | −0.237207 | + | 0.237207i | −0.815692 | − | 0.578486i | \(-0.803644\pi\) |
0.578486 | + | 0.815692i | \(0.303644\pi\) | |||||||
\(368\) | −1.90984 | − | 4.39915i | −0.0995572 | − | 0.229322i | ||||
\(369\) | − | 1.95021i | − | 0.101524i | ||||||
\(370\) | −1.46841 | − | 3.28976i | −0.0763392 | − | 0.171026i | ||||
\(371\) | −0.0853089 | + | 0.0548247i | −0.00442902 | + | 0.00284636i | ||||
\(372\) | 3.59902 | − | 4.80772i | 0.186600 | − | 0.249269i | ||||
\(373\) | 0.915207 | − | 2.45376i | 0.0473876 | − | 0.127051i | −0.911100 | − | 0.412186i | \(-0.864766\pi\) |
0.958488 | + | 0.285134i | \(0.0920383\pi\) | |||||||
\(374\) | 0.836921 | + | 0.120331i | 0.0432762 | + | 0.00622217i | ||||
\(375\) | 2.65683 | − | 10.8601i | 0.137198 | − | 0.560812i | ||||
\(376\) | 10.1804 | + | 6.54253i | 0.525013 | + | 0.337405i | ||||
\(377\) | −3.85811 | + | 1.43900i | −0.198703 | + | 0.0741123i | ||||
\(378\) | −0.197874 | − | 0.362379i | −0.0101775 | − | 0.0186388i | ||||
\(379\) | −15.8684 | − | 18.3132i | −0.815107 | − | 0.940683i | 0.184001 | − | 0.982926i | \(-0.441095\pi\) |
−0.999107 | + | 0.0422428i | \(0.986550\pi\) | |||||||
\(380\) | 1.39240 | + | 4.89707i | 0.0714287 | + | 0.251214i | ||||
\(381\) | −3.68920 | − | 1.08325i | −0.189003 | − | 0.0554964i | ||||
\(382\) | −2.03710 | − | 5.46168i | −0.104227 | − | 0.279444i | ||||
\(383\) | −8.17072 | − | 37.5602i | −0.417505 | − | 1.91924i | −0.393002 | − | 0.919538i | \(-0.628563\pi\) |
−0.0245024 | − | 0.999700i | \(-0.507800\pi\) | |||||||
\(384\) | 0.281733 | + | 0.959493i | 0.0143771 | + | 0.0489639i | ||||
\(385\) | −0.535130 | − | 2.56570i | −0.0272728 | − | 0.130760i | ||||
\(386\) | −7.12496 | − | 15.6015i | −0.362651 | − | 0.794095i | ||||
\(387\) | 2.07745 | + | 1.55516i | 0.105603 | + | 0.0790531i | ||||
\(388\) | −8.84381 | − | 1.92385i | −0.448976 | − | 0.0976688i | ||||
\(389\) | 9.17514 | − | 10.5887i | 0.465198 | − | 0.536867i | −0.473872 | − | 0.880594i | \(-0.657144\pi\) |
0.939070 | + | 0.343727i | \(0.111689\pi\) | |||||||
\(390\) | 1.23770 | + | 3.40736i | 0.0626732 | + | 0.172539i | ||||
\(391\) | −1.02886 | + | 0.990853i | −0.0520315 | + | 0.0501096i | ||||
\(392\) | −4.82921 | − | 4.82921i | −0.243912 | − | 0.243912i | ||||
\(393\) | 1.02320 | + | 14.3063i | 0.0516138 | + | 0.721656i | ||||
\(394\) | 1.89220 | + | 2.94432i | 0.0953277 | + | 0.148333i | ||||
\(395\) | 20.0621 | + | 6.07815i | 1.00943 | + | 0.305825i | ||||
\(396\) | −2.58230 | + | 1.17930i | −0.129765 | + | 0.0592619i | ||||
\(397\) | −0.223545 | + | 0.167344i | −0.0112194 | + | 0.00839873i | −0.604873 | − | 0.796322i | \(-0.706776\pi\) |
0.593653 | + | 0.804721i | \(0.297685\pi\) | |||||||
\(398\) | 6.74516 | + | 3.68313i | 0.338104 | + | 0.184619i | ||||
\(399\) | 0.508240 | − | 0.790838i | 0.0254438 | − | 0.0395914i | ||||
\(400\) | 4.82092 | − | 1.32617i | 0.241046 | − | 0.0663083i | ||||
\(401\) | 3.01368 | − | 10.2636i | 0.150496 | − | 0.512541i | −0.849388 | − | 0.527768i | \(-0.823029\pi\) |
0.999884 | + | 0.0152269i | \(0.00484707\pi\) | |||||||
\(402\) | 9.48121 | + | 0.678110i | 0.472880 | + | 0.0338210i | ||||
\(403\) | 9.71167 | + | 0.694592i | 0.483773 | + | 0.0346001i | ||||
\(404\) | 0.00159115 | − | 0.00541896i | 7.91626e−5 | − | 0.000269603i | ||||
\(405\) | 1.44977 | + | 1.70240i | 0.0720394 | + | 0.0845931i | ||||
\(406\) | 0.566954 | − | 0.882198i | 0.0281375 | − | 0.0437827i | ||||
\(407\) | 4.01428 | + | 2.19197i | 0.198981 | + | 0.108652i | ||||
\(408\) | 0.238435 | − | 0.178490i | 0.0118043 | − | 0.00883659i | ||||
\(409\) | −28.8602 | + | 13.1800i | −1.42705 | + | 0.651710i | −0.971182 | − | 0.238339i | \(-0.923397\pi\) |
−0.455865 | + | 0.890049i | \(0.650670\pi\) | |||||||
\(410\) | −2.05701 | − | 3.84518i | −0.101589 | − | 0.189900i | ||||
\(411\) | 11.1116 | + | 17.2900i | 0.548094 | + | 0.852851i | ||||
\(412\) | 0.723934 | + | 10.1219i | 0.0356657 | + | 0.498671i | ||||
\(413\) | −2.99560 | − | 2.99560i | −0.147404 | − | 0.147404i | ||||
\(414\) | 1.10741 | − | 4.66622i | 0.0544261 | − | 0.229332i | ||||
\(415\) | 25.6846 | − | 9.32972i | 1.26081 | − | 0.457978i | ||||
\(416\) | −1.06168 | + | 1.22525i | −0.0520533 | + | 0.0600727i | ||||
\(417\) | 5.03581 | + | 1.09547i | 0.246605 | + | 0.0536456i | ||||
\(418\) | −5.17438 | − | 3.87349i | −0.253087 | − | 0.189459i | ||||
\(419\) | −11.5244 | − | 25.2349i | −0.563003 | − | 1.23280i | −0.950440 | − | 0.310908i | \(-0.899367\pi\) |
0.387437 | − | 0.921896i | \(-0.373360\pi\) | |||||||
\(420\) | −0.772365 | − | 0.505781i | −0.0376875 | − | 0.0246796i | ||||
\(421\) | 1.33407 | + | 4.54342i | 0.0650185 | + | 0.221433i | 0.985593 | − | 0.169134i | \(-0.0540972\pi\) |
−0.920574 | + | 0.390567i | \(0.872279\pi\) | |||||||
\(422\) | −3.58021 | − | 16.4579i | −0.174282 | − | 0.801160i | ||||
\(423\) | 4.22902 | + | 11.3384i | 0.205622 | + | 0.551294i | ||||
\(424\) | 0.235658 | + | 0.0691954i | 0.0114446 | + | 0.00336043i | ||||
\(425\) | −0.871871 | − | 1.20731i | −0.0422920 | − | 0.0585631i | ||||
\(426\) | 0.0645553 | + | 0.0745008i | 0.00312772 | + | 0.00360958i | ||||
\(427\) | −0.992054 | − | 1.81681i | −0.0480088 | − | 0.0879216i | ||||
\(428\) | −5.27692 | + | 1.96819i | −0.255069 | + | 0.0951360i | ||||
\(429\) | −3.87181 | − | 2.48826i | −0.186933 | − | 0.120134i | ||||
\(430\) | 5.73636 | + | 0.875043i | 0.276632 | + | 0.0421983i | ||||
\(431\) | −6.13342 | − | 0.881853i | −0.295437 | − | 0.0424774i | −0.00699715 | − | 0.999976i | \(-0.502227\pi\) |
−0.288439 | + | 0.957498i | \(0.593136\pi\) | |||||||
\(432\) | −0.349464 | + | 0.936950i | −0.0168136 | + | 0.0450790i | ||||
\(433\) | 2.65125 | − | 3.54165i | 0.127411 | − | 0.170201i | −0.732300 | − | 0.680983i | \(-0.761553\pi\) |
0.859711 | + | 0.510781i | \(0.170644\pi\) | |||||||
\(434\) | −2.08598 | + | 1.34058i | −0.100130 | + | 0.0643497i | ||||
\(435\) | −2.03029 | + | 5.30403i | −0.0973448 | + | 0.254309i | ||||
\(436\) | 18.1004i | 0.866854i | ||||||||
\(437\) | 10.5331 | − | 2.87869i | 0.503865 | − | 0.137707i | ||||
\(438\) | −2.41678 | + | 2.41678i | −0.115478 | + | 0.115478i | ||||
\(439\) | −1.22419 | − | 1.06076i | −0.0584272 | − | 0.0506274i | 0.625158 | − | 0.780498i | \(-0.285035\pi\) |
−0.683585 | + | 0.729871i | \(0.739580\pi\) | |||||||
\(440\) | −3.84756 | + | 5.04889i | −0.183425 | + | 0.240697i | ||||
\(441\) | −0.971943 | − | 6.76001i | −0.0462830 | − | 0.321905i | ||||
\(442\) | 0.452428 | + | 0.168747i | 0.0215198 | + | 0.00802646i | ||||
\(443\) | 17.6157 | + | 23.5318i | 0.836948 | + | 1.11803i | 0.991508 | + | 0.130048i | \(0.0415133\pi\) |
−0.154559 | + | 0.987983i | \(0.549396\pi\) | |||||||
\(444\) | 1.54587 | − | 0.453909i | 0.0733638 | − | 0.0215416i | ||||
\(445\) | −4.90283 | + | 3.09176i | −0.232416 | + | 0.146564i | ||||
\(446\) | 1.93648 | − | 4.24031i | 0.0916952 | − | 0.200784i | ||||
\(447\) | 17.9154 | − | 9.78256i | 0.847371 | − | 0.462699i | ||||
\(448\) | 0.0294547 | − | 0.411831i | 0.00139161 | − | 0.0194572i | ||||
\(449\) | −15.4064 | + | 13.3497i | −0.727071 | + | 0.630011i | −0.937656 | − | 0.347565i | \(-0.887009\pi\) |
0.210585 | + | 0.977576i | \(0.432463\pi\) | |||||||
\(450\) | 4.65409 | + | 1.82742i | 0.219396 | + | 0.0861454i | ||||
\(451\) | 5.03604 | + | 2.29988i | 0.237138 | + | 0.108297i | ||||
\(452\) | −6.64287 | + | 1.44507i | −0.312454 | + | 0.0679703i | ||||
\(453\) | −7.95292 | + | 14.5647i | −0.373661 | + | 0.684308i | ||||
\(454\) | 3.05572 | − | 21.2530i | 0.143412 | − | 0.997452i | ||||
\(455\) | 0.0128374 | − | 1.49673i | 0.000601827 | − | 0.0701676i | ||||
\(456\) | −2.25367 | + | 0.324029i | −0.105538 | + | 0.0151740i | ||||
\(457\) | 6.19646 | − | 28.4847i | 0.289858 | − | 1.33246i | −0.569883 | − | 0.821726i | \(-0.693011\pi\) |
0.859741 | − | 0.510730i | \(-0.170625\pi\) | |||||||
\(458\) | 9.62012 | − | 0.688045i | 0.449519 | − | 0.0321502i | ||||
\(459\) | 0.297842 | 0.0139021 | ||||||||
\(460\) | −2.73831 | − | 10.3683i | −0.127675 | − | 0.483424i | ||||
\(461\) | −10.9110 | −0.508177 | −0.254089 | − | 0.967181i | \(-0.581775\pi\) | ||||
−0.254089 | + | 0.967181i | \(0.581775\pi\) | |||||||
\(462\) | 1.16912 | − | 0.0836173i | 0.0543925 | − | 0.00389023i | ||||
\(463\) | −2.97020 | + | 13.6538i | −0.138037 | + | 0.634545i | 0.855186 | + | 0.518321i | \(0.173443\pi\) |
−0.993223 | + | 0.116224i | \(0.962921\pi\) | |||||||
\(464\) | −2.51402 | + | 0.361462i | −0.116710 | + | 0.0167804i | ||||
\(465\) | 9.57676 | − | 9.41388i | 0.444112 | − | 0.436558i | ||||
\(466\) | 0.0755657 | − | 0.525571i | 0.00350051 | − | 0.0243466i | ||||
\(467\) | −8.44187 | + | 15.4601i | −0.390643 | + | 0.715410i | −0.996800 | − | 0.0799355i | \(-0.974529\pi\) |
0.606157 | + | 0.795345i | \(0.292710\pi\) | |||||||
\(468\) | −1.58419 | + | 0.344618i | −0.0732290 | + | 0.0159300i | ||||
\(469\) | −3.56997 | − | 1.63035i | −0.164846 | − | 0.0752826i | ||||
\(470\) | 20.2976 | + | 17.8950i | 0.936258 | + | 0.825437i | ||||
\(471\) | 8.25871 | − | 7.15621i | 0.380541 | − | 0.329741i | ||||
\(472\) | −0.731980 | + | 10.2344i | −0.0336921 | + | 0.471078i | ||||
\(473\) | −6.46581 | + | 3.53060i | −0.297298 | + | 0.162337i | ||||
\(474\) | −3.89442 | + | 8.52760i | −0.178877 | + | 0.391686i | ||||
\(475\) | 1.42662 | + | 11.2945i | 0.0654579 | + | 0.518226i | ||||
\(476\) | −0.117993 | + | 0.0346458i | −0.00540819 | + | 0.00158799i | ||||
\(477\) | 0.147187 | + | 0.196618i | 0.00673921 | + | 0.00900253i | ||||
\(478\) | −17.6344 | − | 6.57729i | −0.806578 | − | 0.300838i | ||||
\(479\) | −1.66373 | − | 11.5715i | −0.0760178 | − | 0.528716i | −0.991875 | − | 0.127212i | \(-0.959397\pi\) |
0.915858 | − | 0.401503i | \(-0.131512\pi\) | |||||||
\(480\) | 0.299231 | + | 2.21596i | 0.0136580 | + | 0.101144i | ||||
\(481\) | 1.97404 | + | 1.71051i | 0.0900084 | + | 0.0779927i | ||||
\(482\) | 6.95348 | − | 6.95348i | 0.316722 | − | 0.316722i | ||||
\(483\) | −1.10168 | + | 1.64535i | −0.0501282 | + | 0.0748659i | ||||
\(484\) | 2.94099i | 0.133681i | ||||||||
\(485\) | −18.9005 | − | 7.23477i | −0.858227 | − | 0.328514i | ||||
\(486\) | −0.841254 | + | 0.540641i | −0.0381600 | + | 0.0245240i | ||||
\(487\) | 16.3820 | − | 21.8838i | 0.742339 | − | 0.991649i | −0.257340 | − | 0.966321i | \(-0.582846\pi\) |
0.999679 | − | 0.0253283i | \(-0.00806311\pi\) | |||||||
\(488\) | −1.75206 | + | 4.69746i | −0.0793121 | + | 0.212644i | ||||
\(489\) | −6.02050 | − | 0.865617i | −0.272257 | − | 0.0391446i | ||||
\(490\) | −9.04655 | − | 12.3033i | −0.408682 | − | 0.555808i | ||||
\(491\) | −28.8062 | − | 18.5126i | −1.30001 | − | 0.835464i | −0.306794 | − | 0.951776i | \(-0.599256\pi\) |
−0.993213 | + | 0.116312i | \(0.962893\pi\) | |||||||
\(492\) | 1.82725 | − | 0.681530i | 0.0823789 | − | 0.0307258i | ||||
\(493\) | 0.362543 | + | 0.663948i | 0.0163281 | + | 0.0299027i | ||||
\(494\) | −2.41729 | − | 2.78970i | −0.108759 | − | 0.125514i | ||||
\(495\) | −6.10582 | + | 1.73609i | −0.274436 | + | 0.0780314i | ||||
\(496\) | 5.76232 | + | 1.69197i | 0.258736 | + | 0.0759717i | ||||
\(497\) | −0.0142237 | − | 0.0381352i | −0.000638020 | − | 0.00171060i | ||||
\(498\) | 2.59772 | + | 11.9415i | 0.116407 | + | 0.535113i | ||||
\(499\) | −0.827420 | − | 2.81793i | −0.0370404 | − | 0.126148i | 0.938897 | − | 0.344197i | \(-0.111849\pi\) |
−0.975938 | + | 0.218049i | \(0.930031\pi\) | |||||||
\(500\) | 11.1038 | − | 1.30589i | 0.496578 | − | 0.0584010i | ||||
\(501\) | 1.61392 | + | 3.53399i | 0.0721046 | + | 0.157887i | ||||
\(502\) | 2.80050 | + | 2.09643i | 0.124992 | + | 0.0935682i | ||||
\(503\) | −20.0778 | − | 4.36765i | −0.895224 | − | 0.194744i | −0.258660 | − | 0.965968i | \(-0.583281\pi\) |
−0.636564 | + | 0.771224i | \(0.719645\pi\) | |||||||
\(504\) | 0.270381 | − | 0.312036i | 0.0120437 | − | 0.0138992i | ||||
\(505\) | 0.00534449 | − | 0.0114421i | 0.000237826 | − | 0.000509165i | ||||
\(506\) | 10.7436 | + | 8.36252i | 0.477613 | + | 0.371759i | ||||
\(507\) | 7.33383 | + | 7.33383i | 0.325707 | + | 0.325707i | ||||
\(508\) | −0.274295 | − | 3.83515i | −0.0121699 | − | 0.170157i | ||||
\(509\) | 21.9452 | + | 34.1474i | 0.972703 | + | 1.51356i | 0.853768 | + | 0.520654i | \(0.174312\pi\) |
0.118936 | + | 0.992902i | \(0.462052\pi\) | |||||||
\(510\) | 0.587247 | − | 0.314153i | 0.0260037 | − | 0.0139109i | ||||
\(511\) | 1.28365 | − | 0.586221i | 0.0567852 | − | 0.0259329i | ||||
\(512\) | −0.800541 | + | 0.599278i | −0.0353793 | + | 0.0264846i | ||||
\(513\) | −1.99834 | − | 1.09118i | −0.0882288 | − | 0.0481766i | ||||
\(514\) | −1.48301 | + | 2.30760i | −0.0654126 | + | 0.101784i | ||||
\(515\) | −1.81282 | + | 22.6186i | −0.0798826 | + | 0.996694i | ||||
\(516\) | −0.731111 | + | 2.48993i | −0.0321854 | + | 0.109613i | ||||
\(517\) | −34.2665 | − | 2.45079i | −1.50704 | − | 0.107786i | ||||
\(518\) | −0.663515 | − | 0.0474555i | −0.0291532 | − | 0.00208508i | ||||
\(519\) | 0.855659 | − | 2.91411i | 0.0375593 | − | 0.127915i | ||||
\(520\) | −2.76000 | + | 2.35041i | −0.121034 | + | 0.103072i | ||||
\(521\) | 17.3056 | − | 26.9280i | 0.758170 | − | 1.17974i | −0.220718 | − | 0.975338i | \(-0.570840\pi\) |
0.978888 | − | 0.204398i | \(-0.0655237\pi\) | |||||||
\(522\) | −2.22919 | − | 1.21723i | −0.0975691 | − | 0.0532768i | ||||
\(523\) | −31.3845 | + | 23.4942i | −1.37235 | + | 1.02733i | −0.377494 | + | 0.926012i | \(0.623214\pi\) |
−0.994854 | + | 0.101316i | \(0.967695\pi\) | |||||||
\(524\) | −13.0467 | + | 5.95822i | −0.569947 | + | 0.260286i | ||||
\(525\) | −1.53676 | − | 1.37847i | −0.0670698 | − | 0.0601612i | ||||
\(526\) | −10.2950 | − | 16.0193i | −0.448883 | − | 0.698475i | ||||
\(527\) | −0.127606 | − | 1.78416i | −0.00555859 | − | 0.0777193i | ||||
\(528\) | −2.00736 | − | 2.00736i | −0.0873593 | − | 0.0873593i | ||||
\(529\) | −22.2965 | + | 5.64508i | −0.969412 | + | 0.245438i | ||||
\(530\) | 0.497589 | + | 0.232419i | 0.0216139 | + | 0.0100956i | ||||
\(531\) | −6.71924 | + | 7.75442i | −0.291590 | + | 0.336513i | ||||
\(532\) | 0.918587 | + | 0.199826i | 0.0398258 | + | 0.00866357i | ||||
\(533\) | 2.53112 | + | 1.89477i | 0.109635 | + | 0.0820716i | ||||
\(534\) | −1.07683 | − | 2.35792i | −0.0465988 | − | 0.102037i | ||||
\(535\) | −12.3283 | + | 2.57131i | −0.532998 | + | 0.111168i | ||||
\(536\) | 2.67799 | + | 9.12039i | 0.115672 | + | 0.393941i | ||||
\(537\) | −0.0884921 | − | 0.406792i | −0.00381872 | − | 0.0175544i | ||||
\(538\) | −5.36145 | − | 14.3746i | −0.231149 | − | 0.619734i | ||||
\(539\) | 18.6026 | + | 5.46221i | 0.801270 | + | 0.235274i | ||||
\(540\) | −1.08843 | + | 1.95329i | −0.0468384 | + | 0.0840561i | ||||
\(541\) | −12.8766 | − | 14.8603i | −0.553606 | − | 0.638896i | 0.408113 | − | 0.912931i | \(-0.366187\pi\) |
−0.961720 | + | 0.274036i | \(0.911641\pi\) | |||||||
\(542\) | 3.84705 | + | 7.04535i | 0.165245 | + | 0.302624i | ||||
\(543\) | −11.2997 | + | 4.21457i | −0.484916 | + | 0.180864i | ||||
\(544\) | 0.250561 | + | 0.161026i | 0.0107427 | + | 0.00690392i | ||||
\(545\) | −6.10341 | + | 40.0110i | −0.261441 | + | 1.71388i | ||||
\(546\) | 0.662567 | + | 0.0952628i | 0.0283553 | + | 0.00407687i | ||||
\(547\) | −6.76293 | + | 18.1321i | −0.289162 | + | 0.775273i | 0.708421 | + | 0.705790i | \(0.249408\pi\) |
−0.997583 | + | 0.0694833i | \(0.977865\pi\) | |||||||
\(548\) | −12.3167 | + | 16.4532i | −0.526144 | + | 0.702847i | ||||
\(549\) | −4.21768 | + | 2.71054i | −0.180006 | + | 0.115683i | ||||
\(550\) | −10.2075 | + | 9.86318i | −0.435249 | + | 0.420567i | ||||
\(551\) | − | 5.78289i | − | 0.246360i | ||||||
\(552\) | 4.75902 | − | 0.593093i | 0.202557 | − | 0.0252437i | ||||
\(553\) | 2.73699 | − | 2.73699i | 0.116389 | − | 0.116389i | ||||
\(554\) | 10.1555 | + | 8.79978i | 0.431465 | + | 0.373867i | ||||
\(555\) | 3.57020 | − | 0.482101i | 0.151547 | − | 0.0204641i | ||||
\(556\) | 0.733432 | + | 5.10113i | 0.0311045 | + | 0.216336i | ||||
\(557\) | −5.48891 | − | 2.04726i | −0.232572 | − | 0.0867450i | 0.230476 | − | 0.973078i | \(-0.425972\pi\) |
−0.463048 | + | 0.886333i | \(0.653244\pi\) | |||||||
\(558\) | 3.59902 | + | 4.80772i | 0.152358 | + | 0.203527i | ||||
\(559\) | −4.03677 | + | 1.18530i | −0.170737 | + | 0.0501330i | ||||
\(560\) | 0.203978 | − | 0.900419i | 0.00861963 | − | 0.0380497i | ||||
\(561\) | −0.351245 | + | 0.769119i | −0.0148296 | + | 0.0324722i | ||||
\(562\) | −2.59892 | + | 1.41912i | −0.109629 | + | 0.0598618i | ||||
\(563\) | 0.0814099 | − | 1.13826i | 0.00343102 | − | 0.0479719i | −0.995448 | − | 0.0953045i | \(-0.969618\pi\) |
0.998879 | + | 0.0473326i | \(0.0150721\pi\) | |||||||
\(564\) | −9.14566 | + | 7.92476i | −0.385102 | + | 0.333693i | ||||
\(565\) | −15.1713 | + | 0.954364i | −0.638262 | + | 0.0401504i | ||||
\(566\) | −23.0405 | − | 10.5222i | −0.968462 | − | 0.442282i | ||||
\(567\) | 0.403447 | − | 0.0877646i | 0.0169432 | − | 0.00368577i | ||||
\(568\) | −0.0472437 | + | 0.0865204i | −0.00198230 | + | 0.00363032i | ||||
\(569\) | −5.39013 | + | 37.4892i | −0.225966 | + | 1.57163i | 0.488883 | + | 0.872349i | \(0.337404\pi\) |
−0.714849 | + | 0.699279i | \(0.753505\pi\) | |||||||
\(570\) | −5.09099 | − | 0.0436654i | −0.213238 | − | 0.00182894i | ||||
\(571\) | 12.0294 | − | 1.72957i | 0.503416 | − | 0.0723803i | 0.114072 | − | 0.993473i | \(-0.463611\pi\) |
0.389345 | + | 0.921092i | \(0.372702\pi\) | |||||||
\(572\) | 0.978317 | − | 4.49725i | 0.0409055 | − | 0.188039i | ||||
\(573\) | 5.81437 | − | 0.415852i | 0.242899 | − | 0.0173725i | ||||
\(574\) | −0.805211 | −0.0336088 | ||||||||
\(575\) | −2.55688 | − | 23.8424i | −0.106629 | − | 0.994299i | ||||
\(576\) | −1.00000 | −0.0416667 | ||||||||
\(577\) | 14.8691 | − | 1.06346i | 0.619010 | − | 0.0442725i | 0.241687 | − | 0.970354i | \(-0.422299\pi\) |
0.377323 | + | 0.926082i | \(0.376845\pi\) | |||||||
\(578\) | −3.59475 | + | 16.5248i | −0.149522 | + | 0.687342i | ||||
\(579\) | 16.9769 | − | 2.44090i | 0.705534 | − | 0.101440i | ||||
\(580\) | −5.67912 | − | 0.0487098i | −0.235813 | − | 0.00202257i | ||||
\(581\) | 0.718088 | − | 4.99441i | 0.0297913 | − | 0.207203i | ||||
\(582\) | 4.33751 | − | 7.94356i | 0.179796 | − | 0.329271i | ||||
\(583\) | −0.681304 | + | 0.148209i | −0.0282167 | + | 0.00613817i | ||||
\(584\) | −3.10898 | − | 1.41982i | −0.128651 | − | 0.0587527i | ||||
\(585\) | −3.61804 | + | 0.227596i | −0.149588 | + | 0.00940993i | ||||
\(586\) | −2.99017 | + | 2.59100i | −0.123523 | + | 0.107033i | ||||
\(587\) | −1.24714 | + | 17.4373i | −0.0514750 | + | 0.719715i | 0.904538 | + | 0.426392i | \(0.140216\pi\) |
−0.956013 | + | 0.293323i | \(0.905239\pi\) | |||||||
\(588\) | 5.99413 | − | 3.27304i | 0.247194 | − | 0.134978i | ||||
\(589\) | −5.68030 | + | 12.4381i | −0.234053 | + | 0.512504i | ||||
\(590\) | −5.06906 | + | 22.3763i | −0.208690 | + | 0.921220i | ||||
\(591\) | −3.35815 | + | 0.986042i | −0.138136 | + | 0.0405603i | ||||
\(592\) | 0.965516 | + | 1.28978i | 0.0396825 | + | 0.0530096i | ||||
\(593\) | −14.8372 | − | 5.53400i | −0.609292 | − | 0.227254i | 0.0258293 | − | 0.999666i | \(-0.491777\pi\) |
−0.635122 | + | 0.772412i | \(0.719050\pi\) | |||||||
\(594\) | −0.404009 | − | 2.80994i | −0.0165767 | − | 0.115293i | ||||
\(595\) | −0.272505 | + | 0.0367977i | −0.0111716 | + | 0.00150856i | ||||
\(596\) | 15.4266 | + | 13.3672i | 0.631897 | + | 0.547542i | ||||
\(597\) | −5.43427 | + | 5.43427i | −0.222410 | + | 0.222410i | ||||
\(598\) | 4.98021 | + | 5.97083i | 0.203656 | + | 0.244165i | ||||
\(599\) | − | 38.8039i | − | 1.58549i | −0.609556 | − | 0.792743i | \(-0.708652\pi\) | ||
0.609556 | − | 0.792743i | \(-0.291348\pi\) | |||||||
\(600\) | −0.0857637 | + | 4.99926i | −0.00350129 | + | 0.204094i | ||||
\(601\) | −17.8523 | + | 11.4729i | −0.728208 | + | 0.467991i | −0.851484 | − | 0.524381i | \(-0.824297\pi\) |
0.123275 | + | 0.992373i | \(0.460660\pi\) | |||||||
\(602\) | 0.642098 | − | 0.857742i | 0.0261700 | − | 0.0349590i | ||||
\(603\) | −3.32181 | + | 8.90611i | −0.135274 | + | 0.362685i | ||||
\(604\) | −16.4256 | − | 2.36165i | −0.668349 | − | 0.0960941i | ||||
\(605\) | −0.991691 | + | 6.50104i | −0.0403180 | + | 0.264305i | ||||
\(606\) | 0.00475117 | + | 0.00305339i | 0.000193003 | + | 0.000124036i | ||||
\(607\) | 42.6218 | − | 15.8971i | 1.72997 | − | 0.645244i | 0.730669 | − | 0.682732i | \(-0.239208\pi\) |
0.999297 | + | 0.0374885i | \(0.0119357\pi\) | |||||||
\(608\) | −1.09118 | − | 1.99834i | −0.0442530 | − | 0.0810433i | ||||
\(609\) | 0.686733 | + | 0.792532i | 0.0278278 | + | 0.0321150i | ||||
\(610\) | −5.45690 | + | 9.79294i | −0.220943 | + | 0.396504i | ||||
\(611\) | −18.8246 | − | 5.52739i | −0.761560 | − | 0.223614i | ||||
\(612\) | 0.104085 | + | 0.279063i | 0.00420740 | + | 0.0112805i | ||||
\(613\) | −1.71098 | − | 7.86523i | −0.0691057 | − | 0.317674i | 0.929598 | − | 0.368575i | \(-0.120154\pi\) |
−0.998704 | + | 0.0509014i | \(0.983791\pi\) | |||||||
\(614\) | −3.52732 | − | 12.0130i | −0.142351 | − | 0.484804i | ||||
\(615\) | 4.26895 | − | 0.890377i | 0.172141 | − | 0.0359035i | ||||
\(616\) | 0.486912 | + | 1.06619i | 0.0196182 | + | 0.0429579i | ||||
\(617\) | 0.481894 | + | 0.360741i | 0.0194003 | + | 0.0145229i | 0.608934 | − | 0.793221i | \(-0.291597\pi\) |
−0.589534 | + | 0.807744i | \(0.700688\pi\) | |||||||
\(618\) | −9.91587 | − | 2.15706i | −0.398875 | − | 0.0867699i | ||||
\(619\) | 9.50495 | − | 10.9693i | 0.382036 | − | 0.440893i | −0.531865 | − | 0.846829i | \(-0.678509\pi\) |
0.913902 | + | 0.405936i | \(0.133054\pi\) | |||||||
\(620\) | 12.1671 | + | 5.68313i | 0.488641 | + | 0.228240i | ||||
\(621\) | 4.16522 | + | 2.37718i | 0.167144 | + | 0.0953928i | ||||
\(622\) | −8.44822 | − | 8.44822i | −0.338743 | − | 0.338743i | ||||
\(623\) | 0.0763517 | + | 1.06754i | 0.00305897 | + | 0.0427699i | ||||
\(624\) | −0.876506 | − | 1.36387i | −0.0350883 | − | 0.0545985i | ||||
\(625\) | 24.9853 | + | 0.857511i | 0.999412 | + | 0.0343004i | ||||
\(626\) | −10.1057 | + | 4.61510i | −0.403903 | + | 0.184457i | ||||
\(627\) | 5.17438 | − | 3.87349i | 0.206645 | − | 0.154692i | ||||
\(628\) | 9.59113 | + | 5.23716i | 0.382728 | + | 0.208985i | ||||
\(629\) | 0.259434 | − | 0.403687i | 0.0103443 | − | 0.0160961i | ||||
\(630\) | 0.702894 | − | 0.598584i | 0.0280040 | − | 0.0238481i | ||||
\(631\) | 2.46139 | − | 8.38271i | 0.0979862 | − | 0.333710i | −0.895880 | − | 0.444295i | \(-0.853454\pi\) |
0.993867 | + | 0.110585i | \(0.0352723\pi\) | |||||||
\(632\) | −9.35090 | − | 0.668789i | −0.371959 | − | 0.0266030i | ||||
\(633\) | 16.7999 | + | 1.20156i | 0.667738 | + | 0.0477576i | ||||
\(634\) | 8.76268 | − | 29.8430i | 0.348011 | − | 1.18522i | ||||
\(635\) | 0.686871 | − | 8.57008i | 0.0272576 | − | 0.340093i | ||||
\(636\) | −0.132785 | + | 0.206617i | −0.00526527 | + | 0.00819292i | ||||
\(637\) | 9.71790 | + | 5.30638i | 0.385037 | + | 0.210246i | ||||
\(638\) | 5.77214 | − | 4.32097i | 0.228521 | − | 0.171069i | ||||
\(639\) | −0.0896703 | + | 0.0409511i | −0.00354730 | + | 0.00162000i | ||||
\(640\) | −1.97167 | + | 1.05476i | −0.0779371 | + | 0.0416931i | ||||
\(641\) | 18.9736 | + | 29.5235i | 0.749412 | + | 1.16611i | 0.981135 | + | 0.193325i | \(0.0619273\pi\) |
−0.231723 | + | 0.972782i | \(0.574436\pi\) | |||||||
\(642\) | −0.401783 | − | 5.61767i | −0.0158571 | − | 0.221712i | ||||
\(643\) | 2.24665 | + | 2.24665i | 0.0885994 | + | 0.0885994i | 0.750017 | − | 0.661418i | \(-0.230045\pi\) |
−0.661418 | + | 0.750017i | \(0.730045\pi\) | |||||||
\(644\) | −1.92660 | − | 0.457230i | −0.0759189 | − | 0.0180174i | ||||
\(645\) | −2.45572 | + | 5.25747i | −0.0966937 | + | 0.207012i | ||||
\(646\) | −0.444088 | + | 0.512505i | −0.0174724 | + | 0.0201642i | ||||
\(647\) | 20.2088 | + | 4.39616i | 0.794491 | + | 0.172831i | 0.591453 | − | 0.806340i | \(-0.298555\pi\) |
0.203038 | + | 0.979171i | \(0.434918\pi\) | |||||||
\(648\) | −0.800541 | − | 0.599278i | −0.0314482 | − | 0.0235419i | ||||
\(649\) | −12.1003 | − | 26.4959i | −0.474977 | − | 1.04005i | ||||
\(650\) | −6.89352 | + | 4.26492i | −0.270386 | + | 0.167284i | ||||
\(651\) | −0.698586 | − | 2.37916i | −0.0273797 | − | 0.0932468i | ||||
\(652\) | −1.29291 | − | 5.94341i | −0.0506343 | − | 0.232762i | ||||
\(653\) | 11.6748 | + | 31.3015i | 0.456872 | + | 1.22492i | 0.937497 | + | 0.347994i | \(0.113137\pi\) |
−0.480625 | + | 0.876926i | \(0.659590\pi\) | |||||||
\(654\) | −17.3673 | − | 5.09949i | −0.679113 | − | 0.199406i | ||||
\(655\) | −30.8487 | + | 8.77133i | −1.20536 | + | 0.342724i | ||||
\(656\) | 1.27712 | + | 1.47387i | 0.0498631 | + | 0.0575451i | ||||
\(657\) | −1.63800 | − | 2.99977i | −0.0639044 | − | 0.117032i | ||||
\(658\) | 4.68145 | − | 1.74609i | 0.182502 | − | 0.0680697i | ||||
\(659\) | −11.3677 | − | 7.30559i | −0.442824 | − | 0.284586i | 0.300168 | − | 0.953886i | \(-0.402957\pi\) |
−0.742991 | + | 0.669301i | \(0.766594\pi\) | |||||||
\(660\) | −3.76039 | − | 5.11415i | −0.146373 | − | 0.199068i | ||||
\(661\) | −4.65136 | − | 0.668764i | −0.180917 | − | 0.0260119i | 0.0512609 | − | 0.998685i | \(-0.483676\pi\) |
−0.232178 | + | 0.972673i | \(0.574585\pi\) | |||||||
\(662\) | −9.36186 | + | 25.1001i | −0.363859 | + | 0.975544i | ||||
\(663\) | −0.289375 | + | 0.386560i | −0.0112384 | + | 0.0150127i | ||||
\(664\) | −10.2808 | + | 6.60708i | −0.398973 | + | 0.256404i | ||||
\(665\) | 1.96315 | + | 0.751460i | 0.0761278 | + | 0.0291404i | ||||
\(666\) | 1.61113i | 0.0624302i | ||||||||
\(667\) | −0.229154 | + | 12.1786i | −0.00887289 | + | 0.471559i | ||||
\(668\) | −2.74716 | + | 2.74716i | −0.106291 | + | 0.106291i | ||||
\(669\) | 3.52298 | + | 3.05268i | 0.136206 | + | 0.118023i | ||||
\(670\) | 2.84432 | + | 21.0636i | 0.109886 | + | 0.813759i | ||||
\(671\) | −2.02553 | − | 14.0879i | −0.0781946 | − | 0.543855i | ||||
\(672\) | 0.386851 | + | 0.144288i | 0.0149231 | + | 0.00556602i | ||||
\(673\) | 22.2853 | + | 29.7697i | 0.859037 | + | 1.14754i | 0.987779 | + | 0.155860i | \(0.0498150\pi\) |
−0.128742 | + | 0.991678i | \(0.541094\pi\) | |||||||
\(674\) | 12.7026 | − | 3.72983i | 0.489287 | − | 0.143668i | ||||
\(675\) | −3.06460 | + | 3.95072i | −0.117957 | + | 0.152063i | ||||
\(676\) | −4.30852 | + | 9.43433i | −0.165712 | + | 0.362859i | ||||
\(677\) | 29.0611 | − | 15.8686i | 1.11691 | − | 0.609878i | 0.188735 | − | 0.982028i | \(-0.439561\pi\) |
0.928173 | + | 0.372150i | \(0.121379\pi\) | |||||||
\(678\) | 0.484980 | − | 6.78091i | 0.0186255 | − | 0.260419i | ||||
\(679\) | −2.82413 | + | 2.44712i | −0.108380 | + | 0.0939119i | ||||
\(680\) | 0.499567 | + | 0.440435i | 0.0191575 | + | 0.0168899i | ||||
\(681\) | 19.5312 | + | 8.91959i | 0.748437 | + | 0.341800i | ||||
\(682\) | −16.6593 | + | 3.62401i | −0.637917 | + | 0.138770i | ||||
\(683\) | −12.3352 | + | 22.5903i | −0.471995 | + | 0.864394i | 0.527891 | + | 0.849312i | \(0.322983\pi\) |
−0.999886 | + | 0.0150823i | \(0.995199\pi\) | |||||||
\(684\) | 0.324029 | − | 2.25367i | 0.0123895 | − | 0.0861712i | ||||
\(685\) | −32.7741 | + | 32.2166i | −1.25223 | + | 1.23093i | ||||
\(686\) | −5.65186 | + | 0.812615i | −0.215789 | + | 0.0310258i | ||||
\(687\) | −2.05013 | + | 9.42428i | −0.0782172 | + | 0.359559i | ||||
\(688\) | −2.58844 | + | 0.185129i | −0.0986834 | + | 0.00705797i | ||||
\(689\) | −0.398186 | −0.0151697 | ||||||||
\(690\) | 10.7198 | + | 0.293695i | 0.408095 | + | 0.0111808i | ||||
\(691\) | 19.7711 | 0.752127 | 0.376064 | − | 0.926594i | \(-0.377277\pi\) | ||||
0.376064 | + | 0.926594i | \(0.377277\pi\) | |||||||
\(692\) | 3.02939 | − | 0.216666i | 0.115160 | − | 0.00823642i | ||||
\(693\) | −0.249150 | + | 1.14532i | −0.00946441 | + | 0.0435072i | ||||
\(694\) | 29.0351 | − | 4.17462i | 1.10216 | − | 0.158466i | ||||
\(695\) | −0.0988358 | + | 11.5234i | −0.00374906 | + | 0.437106i | ||||
\(696\) | 0.361462 | − | 2.51402i | 0.0137012 | − | 0.0952937i | ||||
\(697\) | 0.278375 | − | 0.509806i | 0.0105442 | − | 0.0193103i | ||||
\(698\) | 11.0079 | − | 2.39463i | 0.416657 | − | 0.0906381i | ||||
\(699\) | 0.482993 | + | 0.220575i | 0.0182685 | + | 0.00834292i | ||||
\(700\) | 0.754511 | − | 1.92159i | 0.0285178 | − | 0.0726294i | ||||
\(701\) | 38.2691 | − | 33.1603i | 1.44540 | − | 1.25245i | 0.531167 | − | 0.847267i | \(-0.321754\pi\) |
0.914236 | − | 0.405182i | \(-0.132792\pi\) | |||||||
\(702\) | 0.115658 | − | 1.61710i | 0.00436522 | − | 0.0610337i | ||||
\(703\) | −3.21959 | + | 1.75803i | −0.121429 | + | 0.0663053i | ||||
\(704\) | 1.17930 | − | 2.58230i | 0.0444464 | − | 0.0973241i | ||||
\(705\) | −22.8887 | + | 14.4338i | −0.862037 | + | 0.543607i | ||||
\(706\) | 2.92253 | − | 0.858131i | 0.109991 | − | 0.0322962i | ||||
\(707\) | −0.00139743 | − | 0.00186674i | −5.25556e−5 | − | 7.02061e-5i | ||||
\(708\) | −9.61364 | − | 3.58570i | −0.361303 | − | 0.134759i | ||||
\(709\) | −5.85829 | − | 40.7453i | −0.220013 | − | 1.53022i | −0.737980 | − | 0.674822i | \(-0.764220\pi\) |
0.517968 | − | 0.855400i | \(-0.326689\pi\) | |||||||
\(710\) | −0.133607 | + | 0.175323i | −0.00501417 | + | 0.00657975i | ||||
\(711\) | −7.08499 | − | 6.13918i | −0.265708 | − | 0.230237i | ||||
\(712\) | 1.83294 | − | 1.83294i | 0.0686924 | − | 0.0686924i | ||||
\(713\) | 12.4555 | − | 25.9693i | 0.466460 | − | 0.972558i | ||||
\(714\) | − | 0.122974i | − | 0.00460219i | ||||||
\(715\) | 3.67902 | − | 9.61127i | 0.137588 | − | 0.359441i | ||||
\(716\) | 0.350219 | − | 0.225072i | 0.0130883 | − | 0.00841133i | ||||
\(717\) | 11.2790 | − | 15.0670i | 0.421224 | − | 0.562689i | ||||
\(718\) | −10.5404 | + | 28.2599i | −0.393365 | + | 1.05465i | ||||
\(719\) | −10.1755 | − | 1.46301i | −0.379480 | − | 0.0545610i | −0.0500645 | − | 0.998746i | \(-0.515943\pi\) |
−0.329416 | + | 0.944185i | \(0.606852\pi\) | |||||||
\(720\) | −2.21050 | − | 0.337197i | −0.0823804 | − | 0.0125666i | ||||
\(721\) | 3.52472 | + | 2.26520i | 0.131267 | + | 0.0843605i | ||||
\(722\) | −12.9449 | + | 4.82819i | −0.481759 | + | 0.179687i | ||||
\(723\) | 4.71279 | + | 8.63084i | 0.175271 | + | 0.320984i | ||||
\(724\) | −7.89767 | − | 9.11440i | −0.293515 | − | 0.338734i | ||||
\(725\) | −12.5373 | − | 2.02265i | −0.465622 | − | 0.0751195i | ||||
\(726\) | −2.82186 | − | 0.828571i | −0.104729 | − | 0.0307512i | ||||
\(727\) | 8.70106 | + | 23.3284i | 0.322704 | + | 0.865204i | 0.992454 | + | 0.122617i | \(0.0391286\pi\) |
−0.669750 | + | 0.742587i | \(0.733599\pi\) | |||||||
\(728\) | 0.142287 | + | 0.654083i | 0.00527351 | + | 0.0242419i | ||||
\(729\) | −0.281733 | − | 0.959493i | −0.0104345 | − | 0.0355368i | ||||
\(730\) | −6.39364 | − | 4.18686i | −0.236639 | − | 0.154963i | ||||
\(731\) | 0.321081 | + | 0.703070i | 0.0118756 | + | 0.0260040i | ||||
\(732\) | −4.01357 | − | 3.00452i | −0.148346 | − | 0.111050i | ||||
\(733\) | −8.19628 | − | 1.78299i | −0.302736 | − | 0.0658563i | 0.0586312 | − | 0.998280i | \(-0.481326\pi\) |
−0.361368 | + | 0.932423i | \(0.617690\pi\) | |||||||
\(734\) | 4.20846 | − | 4.85683i | 0.155337 | − | 0.179269i | ||||
\(735\) | 14.3537 | − | 5.21385i | 0.529443 | − | 0.192316i | ||||
\(736\) | 2.21880 | + | 4.25169i | 0.0817862 | + | 0.156720i | ||||
\(737\) | −19.0809 | − | 19.0809i | −0.702852 | − | 0.702852i | ||||
\(738\) | 0.139127 | + | 1.94525i | 0.00512133 | + | 0.0716055i | ||||
\(739\) | −0.0773273 | − | 0.120324i | −0.00284453 | − | 0.00442617i | 0.839828 | − | 0.542852i | \(-0.182656\pi\) |
−0.842673 | + | 0.538426i | \(0.819019\pi\) | |||||||
\(740\) | 1.69936 | + | 3.17662i | 0.0624698 | + | 0.116775i | ||||
\(741\) | 3.35772 | − | 1.53342i | 0.123349 | − | 0.0563317i | ||||
\(742\) | 0.0811804 | − | 0.0607709i | 0.00298022 | − | 0.00223097i | ||||
\(743\) | −29.5004 | − | 16.1084i | −1.08226 | − | 0.590961i | −0.163811 | − | 0.986492i | \(-0.552379\pi\) |
−0.918453 | + | 0.395531i | \(0.870561\pi\) | |||||||
\(744\) | −3.24687 | + | 5.05222i | −0.119036 | + | 0.185223i | ||||
\(745\) | 29.5930 | + | 34.7499i | 1.08420 | + | 1.27314i | ||||
\(746\) | −0.737825 | + | 2.51280i | −0.0270137 | + | 0.0920002i | ||||
\(747\) | −12.1897 | − | 0.871824i | −0.445997 | − | 0.0318984i | ||||
\(748\) | −0.843373 | − | 0.0603192i | −0.0308368 | − | 0.00220549i | ||||
\(749\) | −0.655131 | + | 2.23117i | −0.0239380 | + | 0.0815252i | ||||
\(750\) | −1.87532 | + | 11.0219i | −0.0684769 | + | 0.402464i | ||||
\(751\) | 25.0142 | − | 38.9229i | 0.912781 | − | 1.42032i | 0.00541008 | − | 0.999985i | \(-0.498278\pi\) |
0.907371 | − | 0.420330i | \(-0.138086\pi\) | |||||||
\(752\) | −10.6212 | − | 5.79960i | −0.387315 | − | 0.211490i | ||||
\(753\) | −2.80050 | + | 2.09643i | −0.102056 | + | 0.0763981i | ||||
\(754\) | 3.74562 | − | 1.71057i | 0.136407 | − | 0.0622952i | ||||
\(755\) | −35.5125 | − | 10.7591i | −1.29243 | − | 0.391563i | ||||
\(756\) | 0.223221 | + | 0.347339i | 0.00811849 | + | 0.0126326i | ||||
\(757\) | −3.86772 | − | 54.0778i | −0.140575 | − | 1.96549i | −0.240936 | − | 0.970541i | \(-0.577454\pi\) |
0.100361 | − | 0.994951i | \(-0.468000\pi\) | |||||||
\(758\) | 17.1344 | + | 17.1344i | 0.622351 | + | 0.622351i | ||||
\(759\) | −11.0506 | + | 7.95244i | −0.401112 | + | 0.288655i | ||||
\(760\) | −1.73821 | − | 4.78526i | −0.0630514 | − | 0.173580i | ||||
\(761\) | 16.2690 | − | 18.7755i | 0.589753 | − | 0.680611i | −0.379920 | − | 0.925019i | \(-0.624048\pi\) |
0.969672 | + | 0.244409i | \(0.0785939\pi\) | |||||||
\(762\) | 3.75708 | + | 0.817302i | 0.136105 | + | 0.0296077i | ||||
\(763\) | 5.98274 | + | 4.47862i | 0.216590 | + | 0.162137i | ||||
\(764\) | 2.42155 | + | 5.30244i | 0.0876084 | + | 0.191836i | ||||
\(765\) | 0.135981 | + | 0.651966i | 0.00491640 | + | 0.0235719i | ||||
\(766\) | 10.8294 | + | 36.8816i | 0.391283 | + | 1.33259i | ||||
\(767\) | −3.53598 | − | 16.2546i | −0.127677 | − | 0.586921i | ||||
\(768\) | −0.349464 | − | 0.936950i | −0.0126102 | − | 0.0338093i | ||||
\(769\) | 15.7464 | + | 4.62357i | 0.567831 | + | 0.166730i | 0.553032 | − | 0.833160i | \(-0.313471\pi\) |
0.0147992 | + | 0.999890i | \(0.495289\pi\) | |||||||
\(770\) | 0.716802 | + | 2.52099i | 0.0258317 | + | 0.0908502i | ||||
\(771\) | −1.79632 | − | 2.07306i | −0.0646928 | − | 0.0746594i | ||||
\(772\) | 8.21981 | + | 15.0535i | 0.295837 | + | 0.541786i | ||||
\(773\) | 6.54617 | − | 2.44160i | 0.235450 | − | 0.0878181i | −0.228970 | − | 0.973433i | \(-0.573536\pi\) |
0.464419 | + | 0.885615i | \(0.346263\pi\) | |||||||
\(774\) | −2.18310 | − | 1.40299i | −0.0784698 | − | 0.0504295i | ||||
\(775\) | 24.9789 | + | 16.6652i | 0.897270 | + | 0.598633i | ||||
\(776\) | 8.95852 | + | 1.28804i | 0.321592 | + | 0.0462380i | ||||
\(777\) | 0.232467 | − | 0.623268i | 0.00833971 | − | 0.0223596i | ||||
\(778\) | −8.39638 | + | 11.2162i | −0.301025 | + | 0.402122i | ||||
\(779\) | −3.73545 | + | 2.40063i | −0.133836 | + | 0.0860114i | ||||
\(780\) | −1.47762 | − | 3.31039i | −0.0529073 | − | 0.118531i | ||||
\(781\) | − | 0.279849i | − | 0.0100138i | ||||||
\(782\) | 0.955548 | − | 1.06173i | 0.0341703 | − | 0.0379672i | ||||
\(783\) | 1.79596 | − | 1.79596i | 0.0641824 | − | 0.0641824i | ||||
\(784\) | 5.16141 | + | 4.47239i | 0.184336 | + | 0.159728i | ||||
\(785\) | 19.4352 | + | 14.8108i | 0.693673 | + | 0.528621i | ||||
\(786\) | −2.04119 | − | 14.1968i | −0.0728070 | − | 0.506384i | ||||
\(787\) | 39.7557 | + | 14.8281i | 1.41714 | + | 0.528564i | 0.937217 | − | 0.348748i | \(-0.113393\pi\) |
0.479920 | + | 0.877312i | \(0.340666\pi\) | |||||||
\(788\) | −2.09742 | − | 2.80183i | −0.0747177 | − | 0.0998111i | ||||
\(789\) | 18.2708 | − | 5.36480i | 0.650459 | − | 0.190992i | ||||
\(790\) | −20.4446 | − | 4.63145i | −0.727387 | − | 0.164780i | ||||
\(791\) | −1.16602 | + | 2.55322i | −0.0414588 | + | 0.0907821i | ||||
\(792\) | 2.49159 | − | 1.36051i | 0.0885348 | − | 0.0483437i | ||||
\(793\) | 0.579857 | − | 8.10747i | 0.0205913 | − | 0.287905i | ||||
\(794\) | 0.211037 | − | 0.182865i | 0.00748943 | − | 0.00648962i | ||||
\(795\) | −0.363192 | + | 0.411953i | −0.0128811 | + | 0.0146105i | ||||
\(796\) | −6.99072 | − | 3.19256i | −0.247780 | − | 0.113157i | ||||
\(797\) | −42.5133 | + | 9.24820i | −1.50590 | + | 0.327588i | −0.888431 | − | 0.459009i | \(-0.848204\pi\) |
−0.617466 | + | 0.786597i | \(0.711841\pi\) | |||||||
\(798\) | −0.450528 | + | 0.825080i | −0.0159485 | + | 0.0292075i | ||||
\(799\) | −0.512949 | + | 3.56764i | −0.0181468 | + | 0.126214i | ||||
\(800\) | −4.71403 | + | 1.66671i | −0.166666 | + | 0.0589270i | ||||
\(801\) | 2.56579 | − | 0.368904i | 0.0906576 | − | 0.0130346i | ||||
\(802\) | −2.27380 | + | 10.4525i | −0.0802906 | + | 0.369090i | ||||
\(803\) | 9.67800 | − | 0.692184i | 0.341529 | − | 0.0244266i | ||||
\(804\) | −9.50543 | −0.335231 | ||||||||
\(805\) | −4.10458 | − | 1.66035i | −0.144667 | − | 0.0585197i | ||||
\(806\) | −9.73647 | −0.342953 | ||||||||
\(807\) | 15.3028 | − | 1.09448i | 0.538685 | − | 0.0385275i | ||||
\(808\) | −0.00120051 | + | 0.00551866i | −4.22338e−5 | + | 0.000194146i | ||||
\(809\) | 4.31973 | − | 0.621083i | 0.151874 | − | 0.0218361i | −0.0659586 | − | 0.997822i | \(-0.521011\pi\) |
0.217832 | + | 0.975986i | \(0.430101\pi\) | |||||||
\(810\) | −1.56752 | − | 1.59464i | −0.0550770 | − | 0.0560300i | ||||
\(811\) | −7.04809 | + | 49.0205i | −0.247492 | + | 1.72134i | 0.365120 | + | 0.930960i | \(0.381028\pi\) |
−0.612612 | + | 0.790384i | \(0.709881\pi\) | |||||||
\(812\) | −0.502574 | + | 0.920396i | −0.0176369 | + | 0.0322996i | ||||
\(813\) | −7.84380 | + | 1.70632i | −0.275094 | + | 0.0598431i | ||||
\(814\) | −4.16043 | − | 1.90000i | −0.145823 | − | 0.0665951i | ||||
\(815\) | −0.853875 | − | 13.5739i | −0.0299099 | − | 0.475471i | ||||
\(816\) | −0.225094 | + | 0.195045i | −0.00787988 | + | 0.00682795i | ||||
\(817\) | 0.421510 | − | 5.89348i | 0.0147468 | − | 0.206187i | ||||
\(818\) | 27.8465 | − | 15.2053i | 0.973628 | − | 0.531641i | ||||
\(819\) | −0.278071 | + | 0.608890i | −0.00971658 | + | 0.0212763i | ||||
\(820\) | 2.32608 | + | 3.68864i | 0.0812303 | + | 0.128813i | ||||
\(821\) | 33.4791 | − | 9.83036i | 1.16843 | − | 0.343082i | 0.360727 | − | 0.932672i | \(-0.382529\pi\) |
0.807703 | + | 0.589590i | \(0.200710\pi\) | |||||||
\(822\) | −12.3167 | − | 16.4532i | −0.429595 | − | 0.573872i | ||||
\(823\) | −14.0569 | − | 5.24295i | −0.489992 | − | 0.182758i | 0.0923094 | − | 0.995730i | \(-0.470575\pi\) |
−0.582302 | + | 0.812973i | \(0.697848\pi\) | |||||||
\(824\) | −1.44418 | − | 10.0445i | −0.0503104 | − | 0.349916i | ||||
\(825\) | −6.58787 | − | 12.5728i | −0.229360 | − | 0.437729i | ||||
\(826\) | 3.20167 | + | 2.77426i | 0.111400 | + | 0.0965289i | ||||
\(827\) | 11.9076 | − | 11.9076i | 0.414067 | − | 0.414067i | −0.469085 | − | 0.883153i | \(-0.655416\pi\) |
0.883153 | + | 0.469085i | \(0.155416\pi\) | |||||||
\(828\) | −0.771702 | + | 4.73334i | −0.0268185 | + | 0.164495i | ||||
\(829\) | − | 33.5573i | − | 1.16549i | −0.812654 | − | 0.582746i | \(-0.801978\pi\) | ||
0.812654 | − | 0.582746i | \(-0.198022\pi\) | |||||||
\(830\) | −24.9536 | + | 11.1383i | −0.866152 | + | 0.386615i | ||||
\(831\) | −11.3045 | + | 7.26493i | −0.392147 | + | 0.252018i | ||||
\(832\) | 0.971570 | − | 1.29787i | 0.0336831 | − | 0.0449954i | ||||
\(833\) | 0.710853 | − | 1.90587i | 0.0246296 | − | 0.0660345i | ||||
\(834\) | −5.10113 | − | 0.733432i | −0.176638 | − | 0.0253967i | ||||
\(835\) | −6.99893 | + | 5.14626i | −0.242208 | + | 0.178094i | ||||
\(836\) | 5.43752 | + | 3.49448i | 0.188061 | + | 0.120859i | ||||
\(837\) | −5.62693 | + | 2.09874i | −0.194495 | + | 0.0725430i | ||||
\(838\) | 13.2953 | + | 24.3484i | 0.459277 | + | 0.841103i | ||||
\(839\) | −7.15452 | − | 8.25676i | −0.247001 | − | 0.285055i | 0.618687 | − | 0.785637i | \(-0.287665\pi\) |
−0.865689 | + | 0.500582i | \(0.833119\pi\) | |||||||
\(840\) | 0.806479 | + | 0.449393i | 0.0278262 | + | 0.0155055i | ||||
\(841\) | −21.6357 | − | 6.35280i | −0.746057 | − | 0.219062i | ||||
\(842\) | −1.65479 | − | 4.43667i | −0.0570279 | − | 0.152898i | ||||
\(843\) | −0.629432 | − | 2.89345i | −0.0216788 | − | 0.0996558i | ||||
\(844\) | 4.74518 | + | 16.1606i | 0.163336 | + | 0.556271i | ||||
\(845\) | −12.7052 | + | 19.4018i | −0.437072 | + | 0.667441i | ||||
\(846\) | −5.02712 | − | 11.0079i | −0.172836 | − | 0.378458i | ||||
\(847\) | 0.972084 | + | 0.727693i | 0.0334012 | + | 0.0250038i | ||||
\(848\) | −0.239994 | − | 0.0522075i | −0.00824142 | − | 0.00179281i | ||||
\(849\) | 16.5872 | − | 19.1427i | 0.569273 | − | 0.656976i | ||||
\(850\) | 0.955778 | + | 1.14203i | 0.0327829 | + | 0.0391714i | ||||
\(851\) | 6.85005 | − | 3.57479i | 0.234817 | − | 0.122542i | ||||
\(852\) | −0.0697057 | − | 0.0697057i | −0.00238808 | − | 0.00238808i | ||||
\(853\) | −1.85071 | − | 25.8763i | −0.0633671 | − | 0.885988i | −0.925365 | − | 0.379077i | \(-0.876242\pi\) |
0.861998 | − | 0.506912i | \(-0.169213\pi\) | |||||||
\(854\) | 1.11914 | + | 1.74141i | 0.0382960 | + | 0.0595898i | ||||
\(855\) | 1.47619 | − | 4.87247i | 0.0504848 | − | 0.166635i | ||||
\(856\) | 5.12306 | − | 2.33962i | 0.175103 | − | 0.0799667i | ||||
\(857\) | −6.39738 | + | 4.78902i | −0.218530 | + | 0.163590i | −0.702934 | − | 0.711255i | \(-0.748127\pi\) |
0.484404 | + | 0.874844i | \(0.339036\pi\) | |||||||
\(858\) | 4.03946 | + | 2.20571i | 0.137905 | + | 0.0753017i | ||||
\(859\) | −26.6256 | + | 41.4303i | −0.908455 | + | 1.41358i | 0.00201107 | + | 0.999998i | \(0.499360\pi\) |
−0.910466 | + | 0.413585i | \(0.864277\pi\) | |||||||
\(860\) | −5.78417 | − | 0.463587i | −0.197238 | − | 0.0158082i | ||||
\(861\) | 0.226854 | − | 0.772594i | 0.00773117 | − | 0.0263299i | ||||
\(862\) | 6.18070 | + | 0.442053i | 0.210516 | + | 0.0150564i | ||||
\(863\) | −37.0634 | − | 2.65082i | −1.26165 | − | 0.0902351i | −0.575566 | − | 0.817756i | \(-0.695218\pi\) |
−0.686086 | + | 0.727521i | \(0.740673\pi\) | |||||||
\(864\) | 0.281733 | − | 0.959493i | 0.00958474 | − | 0.0326426i | ||||
\(865\) | 6.76952 | + | 0.542561i | 0.230171 | + | 0.0184476i | ||||
\(866\) | −2.39184 | + | 3.72177i | −0.0812779 | + | 0.126471i | ||||
\(867\) | −14.8427 | − | 8.10472i | −0.504084 | − | 0.275251i | ||||
\(868\) | 1.98503 | − | 1.48597i | 0.0673762 | − | 0.0504372i | ||||
\(869\) | 24.2085 | − | 11.0556i | 0.821217 | − | 0.375037i | ||||
\(870\) | 1.64673 | − | 5.43535i | 0.0558294 | − | 0.184276i | ||||
\(871\) | −8.33157 | − | 12.9642i | −0.282304 | − | 0.439274i | ||||
\(872\) | −1.29127 | − | 18.0543i | −0.0437280 | − | 0.611397i | ||||
\(873\) | 6.39977 | + | 6.39977i | 0.216599 | + | 0.216599i | ||||
\(874\) | −10.3009 | + | 3.62278i | −0.348432 | + | 0.122542i | ||||
\(875\) | 2.31580 | − | 3.99326i | 0.0782883 | − | 0.134997i | ||||
\(876\) | 2.23821 | − | 2.58304i | 0.0756222 | − | 0.0872727i | ||||
\(877\) | 51.8207 | + | 11.2729i | 1.74986 | + | 0.380659i | 0.969580 | − | 0.244773i | \(-0.0787134\pi\) |
0.780279 | + | 0.625432i | \(0.215077\pi\) | |||||||
\(878\) | 1.29674 | + | 0.970728i | 0.0437629 | + | 0.0327605i | ||||
\(879\) | −1.64361 | − | 3.59901i | −0.0554377 | − | 0.121392i | ||||
\(880\) | 3.47758 | − | 5.31051i | 0.117229 | − | 0.179017i | ||||
\(881\) | −14.0451 | − | 47.8332i | −0.473191 | − | 1.61154i | −0.757519 | − | 0.652813i | \(-0.773589\pi\) |
0.284328 | − | 0.958727i | \(-0.408230\pi\) | |||||||
\(882\) | 1.45172 | + | 6.67345i | 0.0488820 | + | 0.224707i | ||||
\(883\) | 16.0674 | + | 43.0783i | 0.540711 | + | 1.44970i | 0.864044 | + | 0.503416i | \(0.167924\pi\) |
−0.323333 | + | 0.946285i | \(0.604803\pi\) | |||||||
\(884\) | −0.463313 | − | 0.136041i | −0.0155829 | − | 0.00457555i | ||||
\(885\) | −20.0418 | − | 11.1679i | −0.673699 | − | 0.375404i | ||||
\(886\) | −19.2496 | − | 22.2152i | −0.646702 | − | 0.746334i | ||||
\(887\) | 18.4920 | + | 33.8655i | 0.620900 | + | 1.13709i | 0.979087 | + | 0.203444i | \(0.0652134\pi\) |
−0.358186 | + | 0.933650i | \(0.616605\pi\) | |||||||
\(888\) | −1.50955 | + | 0.563033i | −0.0506572 | + | 0.0188942i | ||||
\(889\) | −1.33550 | − | 0.858274i | −0.0447913 | − | 0.0287856i | ||||
\(890\) | 4.66977 | − | 3.43365i | 0.156531 | − | 0.115096i | ||||
\(891\) | 2.80994 | + | 0.404009i | 0.0941367 | + | 0.0135348i | ||||
\(892\) | −1.62905 | + | 4.36765i | −0.0545446 | + | 0.146240i | ||||
\(893\) | 16.5120 | − | 22.0574i | 0.552551 | − | 0.738122i | ||||
\(894\) | −17.1719 | + | 11.0357i | −0.574314 | + | 0.369089i | ||||
\(895\) | 0.850051 | − | 0.379428i | 0.0284141 | − | 0.0126829i | ||||
\(896\) | 0.412883i | 0.0137935i | ||||||||
\(897\) | −7.13206 | + | 3.09630i | −0.238132 | + | 0.103382i | ||||
\(898\) | 14.4148 | − | 14.4148i | 0.481027 | − | 0.481027i | ||||
\(899\) | −11.5278 | − | 9.98887i | −0.384473 | − | 0.333148i | ||||
\(900\) | −4.77260 | − | 1.49075i | −0.159087 | − | 0.0496915i | ||||
\(901\) | 0.0104106 | + | 0.0724075i | 0.000346828 | + | 0.00241224i | ||||
\(902\) | −5.18728 | − | 1.93476i | −0.172718 | − | 0.0644203i | ||||
\(903\) | 0.642098 | + | 0.857742i | 0.0213677 | + | 0.0285439i | ||||
\(904\) | 6.52285 | − | 1.91528i | 0.216947 | − | 0.0637013i | ||||
\(905\) | −14.3844 | − | 22.8104i | −0.478155 | − | 0.758244i | ||||
\(906\) | 6.89362 | − | 15.0949i | 0.229025 | − | 0.501495i | ||||
\(907\) | −10.3692 | + | 5.66202i | −0.344304 | + | 0.188004i | −0.642092 | − | 0.766628i | \(-0.721933\pi\) |
0.297787 | + | 0.954632i | \(0.403751\pi\) | |||||||
\(908\) | −1.53176 | + | 21.4168i | −0.0508333 | + | 0.710742i | ||||
\(909\) | −0.00426827 | + | 0.00369848i | −0.000141570 | + | 0.000122671i | ||||
\(910\) | 0.0939705 | + | 1.49383i | 0.00311509 | + | 0.0495199i | ||||
\(911\) | −33.5620 | − | 15.3273i | −1.11196 | − | 0.507815i | −0.227193 | − | 0.973850i | \(-0.572955\pi\) |
−0.884766 | + | 0.466035i | \(0.845682\pi\) | |||||||
\(912\) | 2.22481 | − | 0.483978i | 0.0736709 | − | 0.0160261i | ||||
\(913\) | 16.6266 | − | 30.4493i | 0.550259 | − | 1.00772i | ||||
\(914\) | −4.14860 | + | 28.8541i | −0.137223 | + | 0.954410i | ||||
\(915\) | −7.85887 | − | 7.99484i | −0.259806 | − | 0.264301i | ||||
\(916\) | −9.54652 | + | 1.37258i | −0.315426 | + | 0.0453514i | ||||
\(917\) | −1.25879 | + | 5.78657i | −0.0415689 | + | 0.191089i | ||||
\(918\) | −0.297084 | + | 0.0212478i | −0.00980522 | + | 0.000701283i | ||||
\(919\) | 23.4689 | 0.774169 | 0.387084 | − | 0.922044i | \(-0.373482\pi\) | ||||
0.387084 | + | 0.922044i | \(0.373482\pi\) | |||||||
\(920\) | 3.47100 | + | 10.1465i | 0.114436 | + | 0.334521i | ||||
\(921\) | 12.5201 | 0.412552 | ||||||||
\(922\) | 10.8832 | − | 0.778384i | 0.358420 | − | 0.0256347i | ||||
\(923\) | 0.0339720 | − | 0.156167i | 0.00111820 | − | 0.00514030i | ||||
\(924\) | −1.16018 | + | 0.166809i | −0.0381671 | + | 0.00548760i | ||||
\(925\) | 2.68529 | + | 7.59493i | 0.0882917 | + | 0.249720i | ||||
\(926\) | 1.98858 | − | 13.8309i | 0.0653488 | − | 0.454511i | ||||
\(927\) | 4.86331 | − | 8.90649i | 0.159732 | − | 0.292527i | ||||
\(928\) | 2.48183 | − | 0.539889i | 0.0814700 | − | 0.0177227i | ||||
\(929\) | −41.2774 | − | 18.8508i | −1.35427 | − | 0.618473i | −0.399749 | − | 0.916625i | \(-0.630903\pi\) |
−0.954519 | + | 0.298151i | \(0.903630\pi\) | |||||||
\(930\) | −8.88078 | + | 10.0731i | −0.291212 | + | 0.330310i | ||||
\(931\) | −11.7517 | + | 10.1829i | −0.385147 | + | 0.333732i | ||||
\(932\) | −0.0378794 | + | 0.529623i | −0.00124078 | + | 0.0173484i | ||||
\(933\) | 10.4861 | − | 5.72587i | 0.343301 | − | 0.187457i | ||||
\(934\) | 7.31745 | − | 16.0230i | 0.239434 | − | 0.524288i | ||||
\(935\) | −1.84393 | − | 0.417718i | −0.0603031 | − | 0.0136608i | ||||
\(936\) | 1.55556 | − | 0.456755i | 0.0508452 | − | 0.0149295i | ||||
\(937\) | −29.9547 | − | 40.0148i | −0.978578 | − | 1.30723i | −0.951518 | − | 0.307594i | \(-0.900476\pi\) |
−0.0270607 | − | 0.999634i | \(-0.508615\pi\) | |||||||
\(938\) | 3.67718 | + | 1.37152i | 0.120064 | + | 0.0447817i | ||||
\(939\) | −1.58106 | − | 10.9965i | −0.0515960 | − | 0.358858i | ||||
\(940\) | −21.5225 | − | 16.4014i | −0.701986 | − | 0.534956i | ||||
\(941\) | 41.0947 | + | 35.6088i | 1.33965 | + | 1.16081i | 0.973092 | + | 0.230417i | \(0.0740090\pi\) |
0.366557 | + | 0.930396i | \(0.380536\pi\) | |||||||
\(942\) | −7.72715 | + | 7.72715i | −0.251764 | + | 0.251764i | ||||
\(943\) | 7.96190 | − | 4.90764i | 0.259275 | − | 0.159815i | ||||
\(944\) | − | 10.2606i | − | 0.333953i | ||||||
\(945\) | 0.376309 | + | 0.843062i | 0.0122413 | + | 0.0274248i | ||||
\(946\) | 6.19746 | − | 3.98287i | 0.201497 | − | 0.129494i | ||||
\(947\) | −15.1870 | + | 20.2874i | −0.493510 | + | 0.659252i | −0.976284 | − | 0.216493i | \(-0.930538\pi\) |
0.482774 | + | 0.875745i | \(0.339629\pi\) | |||||||
\(948\) | 3.27615 | − | 8.78370i | 0.106404 | − | 0.285281i | ||||
\(949\) | 5.48473 | + | 0.788585i | 0.178042 | + | 0.0255986i | ||||
\(950\) | −2.22873 | − | 11.1639i | −0.0723094 | − | 0.362206i | ||||
\(951\) | 26.1654 | + | 16.8155i | 0.848471 | + | 0.545279i | ||||
\(952\) | 0.115221 | − | 0.0429750i | 0.00373432 | − | 0.00139283i | ||||
\(953\) | −14.3130 | − | 26.2123i | −0.463644 | − | 0.849101i | −0.999987 | − | 0.00510064i | \(-0.998376\pi\) |
0.536343 | − | 0.844000i | \(-0.319805\pi\) | |||||||
\(954\) | −0.160838 | − | 0.185617i | −0.00520733 | − | 0.00600958i | ||||
\(955\) | 3.56485 | + | 12.5376i | 0.115356 | + | 0.405706i | ||||
\(956\) | 18.0587 | + | 5.30251i | 0.584059 | + | 0.171495i | ||||
\(957\) | 2.51974 | + | 6.75568i | 0.0814516 | + | 0.218380i | ||||
\(958\) | 2.48499 | + | 11.4233i | 0.0802865 | + | 0.369071i | ||||
\(959\) | 2.39073 | + | 8.14209i | 0.0772008 | + | 0.262922i | ||||
\(960\) | −0.456553 | − | 2.18896i | −0.0147352 | − | 0.0706485i | ||||
\(961\) | 2.10495 | + | 4.60919i | 0.0679015 | + | 0.148684i | ||||
\(962\) | −2.09104 | − | 1.56533i | −0.0674177 | − | 0.0504682i | ||||
\(963\) | 5.50331 | + | 1.19717i | 0.177342 | + | 0.0385783i | ||||
\(964\) | −6.43971 | + | 7.43182i | −0.207409 | + | 0.239363i | ||||
\(965\) | 13.0939 | + | 36.0473i | 0.421507 | + | 1.16040i | ||||
\(966\) | 0.981496 | − | 1.71975i | 0.0315791 | − | 0.0553320i | ||||
\(967\) | 15.0174 | + | 15.0174i | 0.482928 | + | 0.482928i | 0.906065 | − | 0.423138i | \(-0.139071\pi\) |
−0.423138 | + | 0.906065i | \(0.639071\pi\) | |||||||
\(968\) | −0.209808 | − | 2.93349i | −0.00674347 | − | 0.0942860i | ||||
\(969\) | −0.366631 | − | 0.570488i | −0.0117779 | − | 0.0183267i | ||||
\(970\) | 19.3685 | + | 5.86799i | 0.621884 | + | 0.188410i | ||||
\(971\) | 11.1273 | − | 5.08166i | 0.357091 | − | 0.163078i | −0.228788 | − | 0.973476i | \(-0.573476\pi\) |
0.585880 | + | 0.810398i | \(0.300749\pi\) | |||||||
\(972\) | 0.800541 | − | 0.599278i | 0.0256774 | − | 0.0192218i | ||||
\(973\) | 1.86755 | + | 1.01976i | 0.0598709 | + | 0.0326920i | ||||
\(974\) | −14.7791 | + | 22.9967i | −0.473553 | + | 0.736862i | ||||
\(975\) | −2.15003 | − | 7.81585i | −0.0688560 | − | 0.250308i | ||||
\(976\) | 1.41249 | − | 4.81048i | 0.0452126 | − | 0.153980i | ||||
\(977\) | −1.62470 | − | 0.116201i | −0.0519788 | − | 0.00371760i | 0.0453256 | − | 0.998972i | \(-0.485567\pi\) |
−0.0973044 | + | 0.995255i | \(0.531022\pi\) | |||||||
\(978\) | 6.06691 | + | 0.433914i | 0.193999 | + | 0.0138750i | ||||
\(979\) | −2.07320 | + | 7.06067i | −0.0662598 | + | 0.225660i | ||||
\(980\) | 9.90121 | + | 11.6266i | 0.316283 | + | 0.371399i | ||||
\(981\) | 9.78584 | − | 15.2271i | 0.312438 | − | 0.486163i | ||||
\(982\) | 30.0535 | + | 16.4105i | 0.959046 | + | 0.523679i | ||||
\(983\) | −0.649426 | + | 0.486154i | −0.0207135 | + | 0.0155059i | −0.609584 | − | 0.792721i | \(-0.708664\pi\) |
0.588871 | + | 0.808227i | \(0.299573\pi\) | |||||||
\(984\) | −1.77398 | + | 0.810149i | −0.0565523 | + | 0.0258266i | ||||
\(985\) | −3.69158 | − | 6.90069i | −0.117624 | − | 0.219874i | ||||
\(986\) | −0.408985 | − | 0.636393i | −0.0130247 | − | 0.0202669i | ||||
\(987\) | 0.356445 | + | 4.98375i | 0.0113458 | + | 0.158634i | ||||
\(988\) | 2.61014 | + | 2.61014i | 0.0830397 | + | 0.0830397i | ||||
\(989\) | −1.12123 | + | 12.3948i | −0.0356529 | + | 0.394132i | ||||
\(990\) | 5.96641 | − | 2.16725i | 0.189625 | − | 0.0688797i | ||||
\(991\) | 21.1857 | − | 24.4496i | 0.672987 | − | 0.776668i | −0.311854 | − | 0.950130i | \(-0.600950\pi\) |
0.984841 | + | 0.173462i | \(0.0554954\pi\) | |||||||
\(992\) | −5.86834 | − | 1.27658i | −0.186320 | − | 0.0405314i | ||||
\(993\) | −21.4459 | − | 16.0542i | −0.680564 | − | 0.509464i | ||||
\(994\) | 0.0169080 | + | 0.0370234i | 0.000536289 | + | 0.00117431i | ||||
\(995\) | −14.3765 | − | 9.41439i | −0.455764 | − | 0.298456i | ||||
\(996\) | −3.44300 | − | 11.7258i | −0.109096 | − | 0.371546i | ||||
\(997\) | −11.7794 | − | 54.1492i | −0.373059 | − | 1.71492i | −0.655119 | − | 0.755526i | \(-0.727381\pi\) |
0.282060 | − | 0.959397i | \(-0.408982\pi\) | |||||||
\(998\) | 1.02634 | + | 2.75173i | 0.0324882 | + | 0.0871044i | ||||
\(999\) | −1.54587 | − | 0.453909i | −0.0489092 | − | 0.0143610i |
(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 | 690.2.w.a.7.6 | ✓ | 240 | |
5.3 | odd | 4 | inner | 690.2.w.a.283.11 | yes | 240 | |
23.10 | odd | 22 | inner | 690.2.w.a.217.11 | yes | 240 | |
115.33 | even | 44 | inner | 690.2.w.a.493.6 | yes | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
690.2.w.a.7.6 | ✓ | 240 | 1.1 | even | 1 | trivial | |
690.2.w.a.217.11 | yes | 240 | 23.10 | odd | 22 | inner | |
690.2.w.a.283.11 | yes | 240 | 5.3 | odd | 4 | inner | |
690.2.w.a.493.6 | yes | 240 | 115.33 | even | 44 | inner |