Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [54,2,Mod(7,54)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(54, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([16]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("54.7");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 54 = 2 \cdot 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 54.e (of order \(9\), degree \(6\), 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: | \(0.431192170915\) |
Analytic rank: | \(0\) |
Dimension: | \(6\) |
Coefficient field: | \(\Q(\zeta_{18})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{6} - x^{3} + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 49.1 | ||
Root | \(-0.766044 + 0.642788i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 54.49 |
Dual form | 54.2.e.a.43.1 |
$q$-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 \(\left(\mathbb{Z}/54\mathbb{Z}\right)^\times\).
\(n\) | \(29\) |
\(\chi(n)\) | \(e\left(\frac{7}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.766044 | + | 0.642788i | −0.541675 | + | 0.454519i | ||||
\(3\) | 1.70574 | + | 0.300767i | 0.984808 | + | 0.173648i | ||||
\(4\) | 0.173648 | − | 0.984808i | 0.0868241 | − | 0.492404i | ||||
\(5\) | −1.26604 | + | 0.460802i | −0.566192 | + | 0.206077i | −0.609226 | − | 0.792996i | \(-0.708520\pi\) |
0.0430339 | + | 0.999074i | \(0.486298\pi\) | |||||||
\(6\) | −1.50000 | + | 0.866025i | −0.612372 | + | 0.353553i | ||||
\(7\) | −0.0209445 | − | 0.118782i | −0.00791629 | − | 0.0448955i | 0.980594 | − | 0.196051i | \(-0.0628118\pi\) |
−0.988510 | + | 0.151155i | \(0.951701\pi\) | |||||||
\(8\) | 0.500000 | + | 0.866025i | 0.176777 | + | 0.306186i | ||||
\(9\) | 2.81908 | + | 1.02606i | 0.939693 | + | 0.342020i | ||||
\(10\) | 0.673648 | − | 1.16679i | 0.213026 | − | 0.368972i | ||||
\(11\) | −3.49273 | − | 1.27125i | −1.05310 | − | 0.383296i | −0.243266 | − | 0.969960i | \(-0.578219\pi\) |
−0.809831 | + | 0.586664i | \(0.800441\pi\) | |||||||
\(12\) | 0.592396 | − | 1.62760i | 0.171010 | − | 0.469846i | ||||
\(13\) | −4.64543 | − | 3.89798i | −1.28841 | − | 1.08110i | −0.992026 | − | 0.126036i | \(-0.959775\pi\) |
−0.296385 | − | 0.955069i | \(-0.595781\pi\) | |||||||
\(14\) | 0.0923963 | + | 0.0775297i | 0.0246939 | + | 0.0207207i | ||||
\(15\) | −2.29813 | + | 0.405223i | −0.593375 | + | 0.104628i | ||||
\(16\) | −0.939693 | − | 0.342020i | −0.234923 | − | 0.0855050i | ||||
\(17\) | 2.58512 | − | 4.47756i | 0.626984 | − | 1.08597i | −0.361169 | − | 0.932500i | \(-0.617622\pi\) |
0.988154 | − | 0.153468i | \(-0.0490443\pi\) | |||||||
\(18\) | −2.81908 | + | 1.02606i | −0.664463 | + | 0.241845i | ||||
\(19\) | 2.96064 | + | 5.12797i | 0.679217 | + | 1.17644i | 0.975217 | + | 0.221250i | \(0.0710137\pi\) |
−0.296000 | + | 0.955188i | \(0.595653\pi\) | |||||||
\(20\) | 0.233956 | + | 1.32683i | 0.0523141 | + | 0.296688i | ||||
\(21\) | − | 0.208911i | − | 0.0455881i | ||||||
\(22\) | 3.49273 | − | 1.27125i | 0.744652 | − | 0.271031i | ||||
\(23\) | −0.826352 | + | 4.68647i | −0.172306 | + | 0.977197i | 0.768901 | + | 0.639368i | \(0.220804\pi\) |
−0.941207 | + | 0.337830i | \(0.890307\pi\) | |||||||
\(24\) | 0.592396 | + | 1.62760i | 0.120922 | + | 0.332232i | ||||
\(25\) | −2.43969 | + | 2.04715i | −0.487939 | + | 0.409429i | ||||
\(26\) | 6.06418 | 1.18928 | ||||||||
\(27\) | 4.50000 | + | 2.59808i | 0.866025 | + | 0.500000i | ||||
\(28\) | −0.120615 | −0.0227940 | ||||||||
\(29\) | 4.55303 | − | 3.82045i | 0.845477 | − | 0.709440i | −0.113312 | − | 0.993559i | \(-0.536146\pi\) |
0.958789 | + | 0.284120i | \(0.0917014\pi\) | |||||||
\(30\) | 1.50000 | − | 1.78763i | 0.273861 | − | 0.326375i | ||||
\(31\) | −0.875515 | + | 4.96529i | −0.157247 | + | 0.891793i | 0.799455 | + | 0.600725i | \(0.205121\pi\) |
−0.956703 | + | 0.291067i | \(0.905990\pi\) | |||||||
\(32\) | 0.939693 | − | 0.342020i | 0.166116 | − | 0.0604612i | ||||
\(33\) | −5.57532 | − | 3.21891i | −0.970539 | − | 0.560341i | ||||
\(34\) | 0.897804 | + | 5.09170i | 0.153972 | + | 0.873219i | ||||
\(35\) | 0.0812519 | + | 0.140732i | 0.0137341 | + | 0.0237881i | ||||
\(36\) | 1.50000 | − | 2.59808i | 0.250000 | − | 0.433013i | ||||
\(37\) | −0.145430 | + | 0.251892i | −0.0239085 | + | 0.0414107i | −0.877732 | − | 0.479152i | \(-0.840944\pi\) |
0.853824 | + | 0.520562i | \(0.174278\pi\) | |||||||
\(38\) | −5.56418 | − | 2.02520i | −0.902629 | − | 0.328530i | ||||
\(39\) | −6.75150 | − | 8.04612i | −1.08110 | − | 1.28841i | ||||
\(40\) | −1.03209 | − | 0.866025i | −0.163188 | − | 0.136931i | ||||
\(41\) | 4.44356 | + | 3.72859i | 0.693968 | + | 0.582308i | 0.920050 | − | 0.391800i | \(-0.128147\pi\) |
−0.226082 | + | 0.974108i | \(0.572592\pi\) | |||||||
\(42\) | 0.134285 | + | 0.160035i | 0.0207207 | + | 0.0246939i | ||||
\(43\) | −0.426022 | − | 0.155059i | −0.0649678 | − | 0.0236463i | 0.309332 | − | 0.950954i | \(-0.399895\pi\) |
−0.374300 | + | 0.927308i | \(0.622117\pi\) | |||||||
\(44\) | −1.85844 | + | 3.21891i | −0.280170 | + | 0.485270i | ||||
\(45\) | −4.04189 | −0.602529 | ||||||||
\(46\) | −2.37939 | − | 4.12122i | −0.350821 | − | 0.607640i | ||||
\(47\) | −0.134285 | − | 0.761570i | −0.0195875 | − | 0.111086i | 0.973446 | − | 0.228915i | \(-0.0735178\pi\) |
−0.993034 | + | 0.117829i | \(0.962407\pi\) | |||||||
\(48\) | −1.50000 | − | 0.866025i | −0.216506 | − | 0.125000i | ||||
\(49\) | 6.56418 | − | 2.38917i | 0.937740 | − | 0.341309i | ||||
\(50\) | 0.553033 | − | 3.13641i | 0.0782107 | − | 0.443555i | ||||
\(51\) | 5.75624 | − | 6.86002i | 0.806035 | − | 0.960596i | ||||
\(52\) | −4.64543 | + | 3.89798i | −0.644205 | + | 0.540552i | ||||
\(53\) | −7.29086 | −1.00148 | −0.500738 | − | 0.865599i | \(-0.666938\pi\) | ||||
−0.500738 | + | 0.865599i | \(0.666938\pi\) | |||||||
\(54\) | −5.11721 | + | 0.902302i | −0.696364 | + | 0.122788i | ||||
\(55\) | 5.00774 | 0.675244 | ||||||||
\(56\) | 0.0923963 | − | 0.0775297i | 0.0123470 | − | 0.0103603i | ||||
\(57\) | 3.50774 | + | 9.63744i | 0.464612 | + | 1.27651i | ||||
\(58\) | −1.03209 | + | 5.85327i | −0.135520 | + | 0.768572i | ||||
\(59\) | 1.40033 | − | 0.509678i | 0.182307 | − | 0.0663545i | −0.249253 | − | 0.968438i | \(-0.580185\pi\) |
0.431561 | + | 0.902084i | \(0.357963\pi\) | |||||||
\(60\) | 2.33359i | 0.301265i | ||||||||
\(61\) | −0.656574 | − | 3.72362i | −0.0840657 | − | 0.476760i | −0.997554 | − | 0.0698959i | \(-0.977733\pi\) |
0.913489 | − | 0.406864i | \(-0.133378\pi\) | |||||||
\(62\) | −2.52094 | − | 4.36640i | −0.320160 | − | 0.554534i | ||||
\(63\) | 0.0628336 | − | 0.356347i | 0.00791629 | − | 0.0448955i | ||||
\(64\) | −0.500000 | + | 0.866025i | −0.0625000 | + | 0.108253i | ||||
\(65\) | 7.67752 | + | 2.79439i | 0.952279 | + | 0.346601i | ||||
\(66\) | 6.34002 | − | 1.11792i | 0.780403 | − | 0.137606i | ||||
\(67\) | −5.08512 | − | 4.26692i | −0.621247 | − | 0.521288i | 0.276949 | − | 0.960885i | \(-0.410677\pi\) |
−0.898195 | + | 0.439597i | \(0.855121\pi\) | |||||||
\(68\) | −3.96064 | − | 3.32337i | −0.480298 | − | 0.403018i | ||||
\(69\) | −2.81908 | + | 7.74535i | −0.339377 | + | 0.932431i | ||||
\(70\) | −0.152704 | − | 0.0555796i | −0.0182516 | − | 0.00664303i | ||||
\(71\) | −2.87211 | + | 4.97464i | −0.340857 | + | 0.590381i | −0.984592 | − | 0.174867i | \(-0.944050\pi\) |
0.643735 | + | 0.765248i | \(0.277384\pi\) | |||||||
\(72\) | 0.520945 | + | 2.95442i | 0.0613939 | + | 0.348182i | ||||
\(73\) | −5.20961 | − | 9.02330i | −0.609738 | − | 1.05610i | −0.991283 | − | 0.131748i | \(-0.957941\pi\) |
0.381545 | − | 0.924350i | \(-0.375392\pi\) | |||||||
\(74\) | −0.0505072 | − | 0.286441i | −0.00587134 | − | 0.0332980i | ||||
\(75\) | −4.77719 | + | 2.75811i | −0.551622 | + | 0.318479i | ||||
\(76\) | 5.56418 | − | 2.02520i | 0.638255 | − | 0.232306i | ||||
\(77\) | −0.0778483 | + | 0.441500i | −0.00887164 | + | 0.0503136i | ||||
\(78\) | 10.3439 | + | 1.82391i | 1.17122 | + | 0.206517i | ||||
\(79\) | 10.7194 | − | 8.99465i | 1.20603 | − | 1.01198i | 0.206591 | − | 0.978427i | \(-0.433763\pi\) |
0.999437 | − | 0.0335498i | \(-0.0106812\pi\) | |||||||
\(80\) | 1.34730 | 0.150632 | ||||||||
\(81\) | 6.89440 | + | 5.78509i | 0.766044 | + | 0.642788i | ||||
\(82\) | −5.80066 | −0.640576 | ||||||||
\(83\) | −1.81521 | + | 1.52314i | −0.199245 | + | 0.167186i | −0.736951 | − | 0.675946i | \(-0.763735\pi\) |
0.537706 | + | 0.843132i | \(0.319291\pi\) | |||||||
\(84\) | −0.205737 | − | 0.0362770i | −0.0224478 | − | 0.00395814i | ||||
\(85\) | −1.20961 | + | 6.86002i | −0.131200 | + | 0.744074i | ||||
\(86\) | 0.426022 | − | 0.155059i | 0.0459391 | − | 0.0167205i | ||||
\(87\) | 8.91534 | − | 5.14728i | 0.955825 | − | 0.551846i | ||||
\(88\) | −0.645430 | − | 3.66041i | −0.0688030 | − | 0.390201i | ||||
\(89\) | 1.08512 | + | 1.87949i | 0.115023 | + | 0.199225i | 0.917789 | − | 0.397069i | \(-0.129973\pi\) |
−0.802766 | + | 0.596294i | \(0.796639\pi\) | |||||||
\(90\) | 3.09627 | − | 2.59808i | 0.326375 | − | 0.273861i | ||||
\(91\) | −0.365715 | + | 0.633436i | −0.0383373 | + | 0.0664022i | ||||
\(92\) | 4.47178 | + | 1.62760i | 0.466215 | + | 0.169689i | ||||
\(93\) | −2.98680 | + | 8.20616i | −0.309716 | + | 0.850939i | ||||
\(94\) | 0.592396 | + | 0.497079i | 0.0611010 | + | 0.0512698i | ||||
\(95\) | −6.11128 | − | 5.12797i | −0.627004 | − | 0.526119i | ||||
\(96\) | 1.70574 | − | 0.300767i | 0.174091 | − | 0.0306970i | ||||
\(97\) | 3.21941 | + | 1.17177i | 0.326881 | + | 0.118975i | 0.500248 | − | 0.865882i | \(-0.333242\pi\) |
−0.173366 | + | 0.984857i | \(0.555464\pi\) | |||||||
\(98\) | −3.49273 | + | 6.04958i | −0.352819 | + | 0.611100i | ||||
\(99\) | −8.54189 | − | 7.16750i | −0.858492 | − | 0.720360i | ||||
\(100\) | 1.59240 | + | 2.75811i | 0.159240 | + | 0.275811i | ||||
\(101\) | 1.49660 | + | 8.48762i | 0.148917 | + | 0.844550i | 0.964138 | + | 0.265400i | \(0.0855041\pi\) |
−0.815221 | + | 0.579149i | \(0.803385\pi\) | |||||||
\(102\) | 8.95513i | 0.886690i | ||||||||
\(103\) | 2.05303 | − | 0.747243i | 0.202291 | − | 0.0736280i | −0.238887 | − | 0.971047i | \(-0.576783\pi\) |
0.441179 | + | 0.897419i | \(0.354560\pi\) | |||||||
\(104\) | 1.05303 | − | 5.97205i | 0.103258 | − | 0.585608i | ||||
\(105\) | 0.0962667 | + | 0.264490i | 0.00939466 | + | 0.0258116i | ||||
\(106\) | 5.58512 | − | 4.68647i | 0.542475 | − | 0.455191i | ||||
\(107\) | −10.2909 | −0.994855 | −0.497427 | − | 0.867506i | \(-0.665722\pi\) | ||||
−0.497427 | + | 0.867506i | \(0.665722\pi\) | |||||||
\(108\) | 3.34002 | − | 3.98048i | 0.321394 | − | 0.383022i | ||||
\(109\) | −11.0915 | −1.06237 | −0.531187 | − | 0.847254i | \(-0.678254\pi\) | ||||
−0.531187 | + | 0.847254i | \(0.678254\pi\) | |||||||
\(110\) | −3.83615 | + | 3.21891i | −0.365763 | + | 0.306911i | ||||
\(111\) | −0.323826 | + | 0.385920i | −0.0307362 | + | 0.0366299i | ||||
\(112\) | −0.0209445 | + | 0.118782i | −0.00197907 | + | 0.0112239i | ||||
\(113\) | −5.56670 | + | 2.02611i | −0.523671 | + | 0.190601i | −0.590310 | − | 0.807176i | \(-0.700995\pi\) |
0.0666389 | + | 0.997777i | \(0.478772\pi\) | |||||||
\(114\) | −8.88191 | − | 5.12797i | −0.831867 | − | 0.480279i | ||||
\(115\) | −1.11334 | − | 6.31407i | −0.103820 | − | 0.588790i | ||||
\(116\) | −2.97178 | − | 5.14728i | −0.275923 | − | 0.477913i | ||||
\(117\) | −9.09627 | − | 15.7552i | −0.840950 | − | 1.45657i | ||||
\(118\) | −0.745100 | + | 1.29055i | −0.0685920 | + | 0.118805i | ||||
\(119\) | −0.586000 | − | 0.213286i | −0.0537185 | − | 0.0195519i | ||||
\(120\) | −1.50000 | − | 1.78763i | −0.136931 | − | 0.163188i | ||||
\(121\) | 2.15657 | + | 1.80958i | 0.196052 | + | 0.164507i | ||||
\(122\) | 2.89646 | + | 2.43042i | 0.262233 | + | 0.220040i | ||||
\(123\) | 6.45811 | + | 7.69648i | 0.582308 | + | 0.693968i | ||||
\(124\) | 4.73783 | + | 1.72443i | 0.425469 | + | 0.154858i | ||||
\(125\) | 5.51367 | − | 9.54996i | 0.493158 | − | 0.854174i | ||||
\(126\) | 0.180922 | + | 0.313366i | 0.0161178 | + | 0.0279169i | ||||
\(127\) | 2.86959 | + | 4.97027i | 0.254634 | + | 0.441040i | 0.964796 | − | 0.262999i | \(-0.0847115\pi\) |
−0.710162 | + | 0.704039i | \(0.751378\pi\) | |||||||
\(128\) | −0.173648 | − | 0.984808i | −0.0153485 | − | 0.0870455i | ||||
\(129\) | −0.680045 | − | 0.392624i | −0.0598746 | − | 0.0345686i | ||||
\(130\) | −7.67752 | + | 2.79439i | −0.673363 | + | 0.245084i | ||||
\(131\) | 2.99020 | − | 16.9583i | 0.261255 | − | 1.48165i | −0.518236 | − | 0.855237i | \(-0.673411\pi\) |
0.779491 | − | 0.626413i | \(-0.215478\pi\) | |||||||
\(132\) | −4.13816 | + | 4.93166i | −0.360180 | + | 0.429246i | ||||
\(133\) | 0.547104 | − | 0.459074i | 0.0474399 | − | 0.0398068i | ||||
\(134\) | 6.63816 | 0.573449 | ||||||||
\(135\) | −6.89440 | − | 1.21567i | −0.593375 | − | 0.104628i | ||||
\(136\) | 5.17024 | 0.443345 | ||||||||
\(137\) | 0.0662372 | − | 0.0555796i | 0.00565902 | − | 0.00474848i | −0.639954 | − | 0.768413i | \(-0.721046\pi\) |
0.645613 | + | 0.763665i | \(0.276602\pi\) | |||||||
\(138\) | −2.81908 | − | 7.74535i | −0.239976 | − | 0.659328i | ||||
\(139\) | −3.18866 | + | 18.0838i | −0.270459 | + | 1.53385i | 0.482568 | + | 0.875859i | \(0.339704\pi\) |
−0.753027 | + | 0.657990i | \(0.771407\pi\) | |||||||
\(140\) | 0.152704 | − | 0.0555796i | 0.0129058 | − | 0.00469733i | ||||
\(141\) | − | 1.33943i | − | 0.112800i | ||||||
\(142\) | −0.997474 | − | 5.65695i | −0.0837061 | − | 0.474721i | ||||
\(143\) | 11.2699 | + | 19.5201i | 0.942438 | + | 1.63235i | ||||
\(144\) | −2.29813 | − | 1.92836i | −0.191511 | − | 0.160697i | ||||
\(145\) | −4.00387 | + | 6.93491i | −0.332503 | + | 0.575913i | ||||
\(146\) | 9.79086 | + | 3.56358i | 0.810297 | + | 0.294924i | ||||
\(147\) | 11.9153 | − | 2.10100i | 0.982761 | − | 0.173287i | ||||
\(148\) | 0.222811 | + | 0.186961i | 0.0183150 | + | 0.0153681i | ||||
\(149\) | −3.75490 | − | 3.15074i | −0.307613 | − | 0.258118i | 0.475891 | − | 0.879504i | \(-0.342126\pi\) |
−0.783505 | + | 0.621386i | \(0.786570\pi\) | |||||||
\(150\) | 1.88666 | − | 5.18355i | 0.154045 | − | 0.423235i | ||||
\(151\) | −1.62701 | − | 0.592184i | −0.132404 | − | 0.0481912i | 0.274968 | − | 0.961453i | \(-0.411333\pi\) |
−0.407372 | + | 0.913262i | \(0.633555\pi\) | |||||||
\(152\) | −2.96064 | + | 5.12797i | −0.240139 | + | 0.415934i | ||||
\(153\) | 11.8819 | − | 9.97011i | 0.960596 | − | 0.806035i | ||||
\(154\) | −0.224155 | − | 0.388249i | −0.0180630 | − | 0.0312860i | ||||
\(155\) | −1.17958 | − | 6.68972i | −0.0947460 | − | 0.537331i | ||||
\(156\) | −9.09627 | + | 5.25173i | −0.728284 | + | 0.420475i | ||||
\(157\) | 5.46451 | − | 1.98892i | 0.436115 | − | 0.158733i | −0.114627 | − | 0.993409i | \(-0.536567\pi\) |
0.550742 | + | 0.834676i | \(0.314345\pi\) | |||||||
\(158\) | −2.42989 | + | 13.7806i | −0.193312 | + | 1.09633i | ||||
\(159\) | −12.4363 | − | 2.19285i | −0.986262 | − | 0.173905i | ||||
\(160\) | −1.03209 | + | 0.866025i | −0.0815938 | + | 0.0684653i | ||||
\(161\) | 0.573978 | 0.0452358 | ||||||||
\(162\) | −9.00000 | −0.707107 | ||||||||
\(163\) | −2.70914 | −0.212196 | −0.106098 | − | 0.994356i | \(-0.533836\pi\) | ||||
−0.106098 | + | 0.994356i | \(0.533836\pi\) | |||||||
\(164\) | 4.44356 | − | 3.72859i | 0.346984 | − | 0.291154i | ||||
\(165\) | 8.54189 | + | 1.50617i | 0.664985 | + | 0.117255i | ||||
\(166\) | 0.411474 | − | 2.33359i | 0.0319366 | − | 0.181121i | ||||
\(167\) | 23.1202 | − | 8.41507i | 1.78910 | − | 0.651177i | 0.789811 | − | 0.613351i | \(-0.210179\pi\) |
0.999284 | − | 0.0378268i | \(-0.0120435\pi\) | |||||||
\(168\) | 0.180922 | − | 0.104455i | 0.0139584 | − | 0.00805891i | ||||
\(169\) | 4.12836 | + | 23.4131i | 0.317566 | + | 1.80101i | ||||
\(170\) | −3.48293 | − | 6.03260i | −0.267128 | − | 0.462680i | ||||
\(171\) | 3.08466 | + | 17.4940i | 0.235890 | + | 1.33780i | ||||
\(172\) | −0.226682 | + | 0.392624i | −0.0172843 | + | 0.0299373i | ||||
\(173\) | 10.0753 | + | 3.66712i | 0.766013 | + | 0.278806i | 0.695328 | − | 0.718693i | \(-0.255259\pi\) |
0.0706849 | + | 0.997499i | \(0.477482\pi\) | |||||||
\(174\) | −3.52094 | + | 9.67372i | −0.266922 | + | 0.733362i | ||||
\(175\) | 0.294263 | + | 0.246916i | 0.0222442 | + | 0.0186651i | ||||
\(176\) | 2.84730 | + | 2.38917i | 0.214623 | + | 0.180090i | ||||
\(177\) | 2.54189 | − | 0.448204i | 0.191060 | − | 0.0336890i | ||||
\(178\) | −2.03936 | − | 0.742267i | −0.152857 | − | 0.0556353i | ||||
\(179\) | 6.92262 | − | 11.9903i | 0.517421 | − | 0.896199i | −0.482374 | − | 0.875965i | \(-0.660226\pi\) |
0.999795 | − | 0.0202340i | \(-0.00644112\pi\) | |||||||
\(180\) | −0.701867 | + | 3.98048i | −0.0523141 | + | 0.296688i | ||||
\(181\) | −1.75490 | − | 3.03958i | −0.130441 | − | 0.225930i | 0.793406 | − | 0.608693i | \(-0.208306\pi\) |
−0.923847 | + | 0.382763i | \(0.874973\pi\) | |||||||
\(182\) | −0.127011 | − | 0.720317i | −0.00941471 | − | 0.0533935i | ||||
\(183\) | − | 6.54899i | − | 0.484115i | ||||||
\(184\) | −4.47178 | + | 1.62760i | −0.329664 | + | 0.119988i | ||||
\(185\) | 0.0680482 | − | 0.385920i | 0.00500300 | − | 0.0283734i | ||||
\(186\) | −2.98680 | − | 8.20616i | −0.219003 | − | 0.601704i | ||||
\(187\) | −14.7212 | + | 12.3526i | −1.07652 | + | 0.903309i | ||||
\(188\) | −0.773318 | −0.0564000 | ||||||||
\(189\) | 0.214355 | − | 0.588936i | 0.0155920 | − | 0.0428388i | ||||
\(190\) | 7.97771 | 0.578764 | ||||||||
\(191\) | −16.7704 | + | 14.0720i | −1.21346 | + | 1.01822i | −0.214322 | + | 0.976763i | \(0.568754\pi\) |
−0.999140 | + | 0.0414526i | \(0.986801\pi\) | |||||||
\(192\) | −1.11334 | + | 1.32683i | −0.0803485 | + | 0.0957556i | ||||
\(193\) | 4.44743 | − | 25.2226i | 0.320133 | − | 1.81557i | −0.221740 | − | 0.975106i | \(-0.571174\pi\) |
0.541873 | − | 0.840460i | \(-0.317715\pi\) | |||||||
\(194\) | −3.21941 | + | 1.17177i | −0.231140 | + | 0.0841281i | ||||
\(195\) | 12.2554 | + | 7.07564i | 0.877625 | + | 0.506697i | ||||
\(196\) | −1.21301 | − | 6.87933i | −0.0866436 | − | 0.491381i | ||||
\(197\) | −6.84255 | − | 11.8516i | −0.487511 | − | 0.844395i | 0.512385 | − | 0.858756i | \(-0.328762\pi\) |
−0.999897 | + | 0.0143611i | \(0.995429\pi\) | |||||||
\(198\) | 11.1506 | 0.792442 | ||||||||
\(199\) | 6.19981 | − | 10.7384i | 0.439493 | − | 0.761224i | −0.558158 | − | 0.829735i | \(-0.688492\pi\) |
0.997650 | + | 0.0685113i | \(0.0218249\pi\) | |||||||
\(200\) | −2.99273 | − | 1.08926i | −0.211618 | − | 0.0770225i | ||||
\(201\) | −7.39053 | − | 8.80769i | −0.521288 | − | 0.621247i | ||||
\(202\) | −6.60220 | − | 5.53990i | −0.464529 | − | 0.389786i | ||||
\(203\) | −0.549163 | − | 0.460802i | −0.0385437 | − | 0.0323420i | ||||
\(204\) | −5.75624 | − | 6.86002i | −0.403018 | − | 0.480298i | ||||
\(205\) | −7.34389 | − | 2.67296i | −0.512920 | − | 0.186688i | ||||
\(206\) | −1.09240 | + | 1.89209i | −0.0761109 | + | 0.131828i | ||||
\(207\) | −7.13816 | + | 12.3636i | −0.496136 | + | 0.859333i | ||||
\(208\) | 3.03209 | + | 5.25173i | 0.210238 | + | 0.364142i | ||||
\(209\) | −3.82177 | − | 21.6743i | −0.264357 | − | 1.49924i | ||||
\(210\) | −0.243756 | − | 0.140732i | −0.0168207 | − | 0.00971146i | ||||
\(211\) | −13.9474 | + | 5.07645i | −0.960181 | + | 0.349477i | −0.774104 | − | 0.633058i | \(-0.781799\pi\) |
−0.186077 | + | 0.982535i | \(0.559577\pi\) | |||||||
\(212\) | −1.26604 | + | 7.18009i | −0.0869523 | + | 0.493131i | ||||
\(213\) | −6.39528 | + | 7.62159i | −0.438197 | + | 0.522223i | ||||
\(214\) | 7.88326 | − | 6.61484i | 0.538888 | − | 0.452181i | ||||
\(215\) | 0.610815 | 0.0416572 | ||||||||
\(216\) | 5.19615i | 0.353553i | ||||||||
\(217\) | 0.608126 | 0.0412823 | ||||||||
\(218\) | 8.49660 | − | 7.12949i | 0.575462 | − | 0.482870i | ||||
\(219\) | −6.17230 | − | 16.9583i | −0.417086 | − | 1.14593i | ||||
\(220\) | 0.869585 | − | 4.93166i | 0.0586274 | − | 0.332493i | ||||
\(221\) | −29.4624 | + | 10.7235i | −1.98186 | + | 0.721338i | ||||
\(222\) | − | 0.503783i | − | 0.0338117i | ||||||
\(223\) | −1.16890 | − | 6.62916i | −0.0782754 | − | 0.443922i | −0.998606 | − | 0.0527806i | \(-0.983192\pi\) |
0.920331 | − | 0.391141i | \(-0.127920\pi\) | |||||||
\(224\) | −0.0603074 | − | 0.104455i | −0.00402946 | − | 0.00697922i | ||||
\(225\) | −8.97818 | + | 3.26779i | −0.598545 | + | 0.217853i | ||||
\(226\) | 2.96198 | − | 5.13030i | 0.197028 | − | 0.341263i | ||||
\(227\) | −13.6211 | − | 4.95767i | −0.904063 | − | 0.329052i | −0.152183 | − | 0.988352i | \(-0.548630\pi\) |
−0.751880 | + | 0.659300i | \(0.770853\pi\) | |||||||
\(228\) | 10.1001 | − | 1.78093i | 0.668898 | − | 0.117945i | ||||
\(229\) | 19.7540 | + | 16.5756i | 1.30538 | + | 1.09535i | 0.989188 | + | 0.146652i | \(0.0468496\pi\) |
0.316194 | + | 0.948694i | \(0.397595\pi\) | |||||||
\(230\) | 4.91147 | + | 4.12122i | 0.323853 | + | 0.271745i | ||||
\(231\) | −0.265578 | + | 0.729669i | −0.0174737 | + | 0.0480087i | ||||
\(232\) | 5.58512 | + | 2.03282i | 0.366681 | + | 0.133461i | ||||
\(233\) | −5.19846 | + | 9.00400i | −0.340563 | + | 0.589872i | −0.984537 | − | 0.175175i | \(-0.943951\pi\) |
0.643975 | + | 0.765047i | \(0.277284\pi\) | |||||||
\(234\) | 17.0954 | + | 6.22221i | 1.11756 | + | 0.406759i | ||||
\(235\) | 0.520945 | + | 0.902302i | 0.0339827 | + | 0.0588597i | ||||
\(236\) | −0.258770 | − | 1.46756i | −0.0168445 | − | 0.0955300i | ||||
\(237\) | 20.9898 | − | 12.1185i | 1.36343 | − | 0.787179i | ||||
\(238\) | 0.586000 | − | 0.213286i | 0.0379847 | − | 0.0138253i | ||||
\(239\) | −3.97906 | + | 22.5663i | −0.257384 | + | 1.45970i | 0.532495 | + | 0.846433i | \(0.321254\pi\) |
−0.789879 | + | 0.613263i | \(0.789857\pi\) | |||||||
\(240\) | 2.29813 | + | 0.405223i | 0.148344 | + | 0.0261570i | ||||
\(241\) | −9.25150 | + | 7.76293i | −0.595941 | + | 0.500054i | −0.890138 | − | 0.455691i | \(-0.849392\pi\) |
0.294197 | + | 0.955745i | \(0.404948\pi\) | |||||||
\(242\) | −2.81521 | −0.180968 | ||||||||
\(243\) | 10.0201 | + | 11.9415i | 0.642788 | + | 0.766044i | ||||
\(244\) | −3.78106 | −0.242058 | ||||||||
\(245\) | −7.20961 | + | 6.04958i | −0.460605 | + | 0.386493i | ||||
\(246\) | −9.89440 | − | 1.74465i | −0.630844 | − | 0.111235i | ||||
\(247\) | 6.23530 | − | 35.3621i | 0.396743 | − | 2.25004i | ||||
\(248\) | −4.73783 | + | 1.72443i | −0.300852 | + | 0.109501i | ||||
\(249\) | −3.55438 | + | 2.05212i | −0.225250 | + | 0.130048i | ||||
\(250\) | 1.91488 | + | 10.8598i | 0.121107 | + | 0.686835i | ||||
\(251\) | 7.02347 | + | 12.1650i | 0.443318 | + | 0.767849i | 0.997933 | − | 0.0642581i | \(-0.0204681\pi\) |
−0.554616 | + | 0.832107i | \(0.687135\pi\) | |||||||
\(252\) | −0.340022 | − | 0.123758i | −0.0214194 | − | 0.00779602i | ||||
\(253\) | 8.84389 | − | 15.3181i | 0.556011 | − | 0.963039i | ||||
\(254\) | −5.39306 | − | 1.96291i | −0.338390 | − | 0.123164i | ||||
\(255\) | −4.12654 | + | 11.3376i | −0.258414 | + | 0.709987i | ||||
\(256\) | 0.766044 | + | 0.642788i | 0.0478778 | + | 0.0401742i | ||||
\(257\) | 13.8983 | + | 11.6620i | 0.866950 | + | 0.727458i | 0.963454 | − | 0.267875i | \(-0.0863214\pi\) |
−0.0965034 | + | 0.995333i | \(0.530766\pi\) | |||||||
\(258\) | 0.773318 | − | 0.136357i | 0.0481447 | − | 0.00848921i | ||||
\(259\) | 0.0329662 | + | 0.0119987i | 0.00204842 | + | 0.000745565i | ||||
\(260\) | 4.08512 | − | 7.07564i | 0.253349 | − | 0.438813i | ||||
\(261\) | 16.7554 | − | 6.09845i | 1.03713 | − | 0.377485i | ||||
\(262\) | 8.60994 | + | 14.9128i | 0.531924 | + | 0.921319i | ||||
\(263\) | 0.742107 | + | 4.20870i | 0.0457603 | + | 0.259519i | 0.999102 | − | 0.0423745i | \(-0.0134923\pi\) |
−0.953342 | + | 0.301894i | \(0.902381\pi\) | |||||||
\(264\) | − | 6.43783i | − | 0.396221i | ||||||
\(265\) | 9.23055 | − | 3.35965i | 0.567028 | − | 0.206381i | ||||
\(266\) | −0.124018 | + | 0.703343i | −0.00760405 | + | 0.0431247i | ||||
\(267\) | 1.28564 | + | 3.53228i | 0.0786802 | + | 0.216172i | ||||
\(268\) | −5.08512 | + | 4.26692i | −0.310623 | + | 0.260644i | ||||
\(269\) | 13.0615 | 0.796373 | 0.398187 | − | 0.917304i | \(-0.369640\pi\) | ||||
0.398187 | + | 0.917304i | \(0.369640\pi\) | |||||||
\(270\) | 6.06283 | − | 3.50038i | 0.368972 | − | 0.213026i | ||||
\(271\) | 8.48751 | 0.515580 | 0.257790 | − | 0.966201i | \(-0.417006\pi\) | ||||
0.257790 | + | 0.966201i | \(0.417006\pi\) | |||||||
\(272\) | −3.96064 | + | 3.32337i | −0.240149 | + | 0.201509i | ||||
\(273\) | −0.814330 | + | 0.970481i | −0.0492855 | + | 0.0587362i | ||||
\(274\) | −0.0150147 | + | 0.0851529i | −0.000907074 | + | 0.00514427i | ||||
\(275\) | 11.1236 | − | 4.04866i | 0.670779 | − | 0.244144i | ||||
\(276\) | 7.13816 | + | 4.12122i | 0.429666 | + | 0.248068i | ||||
\(277\) | 1.14842 | + | 6.51303i | 0.0690020 | + | 0.391330i | 0.999675 | + | 0.0254787i | \(0.00811100\pi\) |
−0.930673 | + | 0.365851i | \(0.880778\pi\) | |||||||
\(278\) | −9.18139 | − | 15.9026i | −0.550663 | − | 0.953776i | ||||
\(279\) | −7.56283 | + | 13.0992i | −0.452775 | + | 0.784229i | ||||
\(280\) | −0.0812519 | + | 0.140732i | −0.00485573 | + | 0.00841037i | ||||
\(281\) | −27.9320 | − | 10.1664i | −1.66628 | − | 0.606478i | −0.674952 | − | 0.737861i | \(-0.735836\pi\) |
−0.991332 | + | 0.131384i | \(0.958058\pi\) | |||||||
\(282\) | 0.860967 | + | 1.02606i | 0.0512698 | + | 0.0611010i | ||||
\(283\) | −2.15657 | − | 1.80958i | −0.128195 | − | 0.107568i | 0.576436 | − | 0.817142i | \(-0.304443\pi\) |
−0.704631 | + | 0.709574i | \(0.748887\pi\) | |||||||
\(284\) | 4.40033 | + | 3.69232i | 0.261112 | + | 0.219099i | ||||
\(285\) | −8.88191 | − | 10.5850i | −0.526119 | − | 0.627004i | ||||
\(286\) | −21.1805 | − | 7.70908i | −1.25243 | − | 0.455847i | ||||
\(287\) | 0.349823 | − | 0.605910i | 0.0206494 | − | 0.0357658i | ||||
\(288\) | 3.00000 | 0.176777 | ||||||||
\(289\) | −4.86571 | − | 8.42767i | −0.286219 | − | 0.495745i | ||||
\(290\) | −1.39053 | − | 7.88609i | −0.0816547 | − | 0.463087i | ||||
\(291\) | 5.13903 | + | 2.96702i | 0.301255 | + | 0.173930i | ||||
\(292\) | −9.79086 | + | 3.56358i | −0.572967 | + | 0.208543i | ||||
\(293\) | 1.70796 | − | 9.68631i | 0.0997800 | − | 0.565881i | −0.893397 | − | 0.449267i | \(-0.851685\pi\) |
0.993177 | − | 0.116613i | \(-0.0372038\pi\) | |||||||
\(294\) | −7.77719 | + | 9.26849i | −0.453575 | + | 0.540549i | ||||
\(295\) | −1.53802 | + | 1.29055i | −0.0895469 | + | 0.0751388i | ||||
\(296\) | −0.290859 | −0.0169059 | ||||||||
\(297\) | −12.4145 | − | 14.7950i | −0.720360 | − | 0.858492i | ||||
\(298\) | 4.90167 | 0.283946 | ||||||||
\(299\) | 22.1065 | − | 18.5496i | 1.27845 | − | 1.07275i | ||||
\(300\) | 1.88666 | + | 5.18355i | 0.108926 | + | 0.299273i | ||||
\(301\) | −0.00949548 | + | 0.0538515i | −0.000547310 | + | 0.00310395i | ||||
\(302\) | 1.62701 | − | 0.592184i | 0.0936240 | − | 0.0340763i | ||||
\(303\) | 14.9278i | 0.857578i | ||||||||
\(304\) | −1.02822 | − | 5.83132i | −0.0589724 | − | 0.334449i | ||||
\(305\) | 2.54710 | + | 4.41171i | 0.145847 | + | 0.252614i | ||||
\(306\) | −2.69341 | + | 15.2751i | −0.153972 | + | 0.873219i | ||||
\(307\) | −6.78106 | + | 11.7451i | −0.387015 | + | 0.670330i | −0.992047 | − | 0.125871i | \(-0.959827\pi\) |
0.605031 | + | 0.796202i | \(0.293161\pi\) | |||||||
\(308\) | 0.421274 | + | 0.153331i | 0.0240043 | + | 0.00873686i | ||||
\(309\) | 3.72668 | − | 0.657115i | 0.212004 | − | 0.0373819i | ||||
\(310\) | 5.20368 | + | 4.36640i | 0.295549 | + | 0.247995i | ||||
\(311\) | −8.10220 | − | 6.79855i | −0.459433 | − | 0.385510i | 0.383489 | − | 0.923545i | \(-0.374722\pi\) |
−0.842922 | + | 0.538035i | \(0.819167\pi\) | |||||||
\(312\) | 3.59240 | − | 9.87003i | 0.203379 | − | 0.558780i | ||||
\(313\) | 10.0544 | + | 3.65949i | 0.568307 | + | 0.206847i | 0.610162 | − | 0.792277i | \(-0.291104\pi\) |
−0.0418547 | + | 0.999124i | \(0.513327\pi\) | |||||||
\(314\) | −2.90760 | + | 5.03612i | −0.164086 | + | 0.284205i | ||||
\(315\) | 0.0846555 | + | 0.480105i | 0.00476980 | + | 0.0270509i | ||||
\(316\) | −6.99660 | − | 12.1185i | −0.393589 | − | 0.681717i | ||||
\(317\) | 5.06717 | + | 28.7374i | 0.284601 | + | 1.61405i | 0.706708 | + | 0.707505i | \(0.250179\pi\) |
−0.422108 | + | 0.906546i | \(0.638710\pi\) | |||||||
\(318\) | 10.9363 | − | 6.31407i | 0.613277 | − | 0.354075i | ||||
\(319\) | −20.7592 | + | 7.55574i | −1.16229 | + | 0.423040i | ||||
\(320\) | 0.233956 | − | 1.32683i | 0.0130785 | − | 0.0741719i | ||||
\(321\) | −17.5535 | − | 3.09516i | −0.979741 | − | 0.172755i | ||||
\(322\) | −0.439693 | + | 0.368946i | −0.0245031 | + | 0.0205606i | ||||
\(323\) | 30.6144 | 1.70343 | ||||||||
\(324\) | 6.89440 | − | 5.78509i | 0.383022 | − | 0.321394i | ||||
\(325\) | 19.3131 | 1.07130 | ||||||||
\(326\) | 2.07532 | − | 1.74140i | 0.114941 | − | 0.0964473i | ||||
\(327\) | −18.9192 | − | 3.33597i | −1.04623 | − | 0.184479i | ||||
\(328\) | −1.00727 | + | 5.71253i | −0.0556174 | + | 0.315422i | ||||
\(329\) | −0.0876485 | + | 0.0319015i | −0.00483222 | + | 0.00175878i | ||||
\(330\) | −7.51161 | + | 4.33683i | −0.413501 | + | 0.238735i | ||||
\(331\) | −1.26739 | − | 7.18772i | −0.0696620 | − | 0.395073i | −0.999624 | − | 0.0274173i | \(-0.991272\pi\) |
0.929962 | − | 0.367655i | \(-0.119839\pi\) | |||||||
\(332\) | 1.18479 | + | 2.05212i | 0.0650239 | + | 0.112625i | ||||
\(333\) | −0.668434 | + | 0.560882i | −0.0366299 | + | 0.0307362i | ||||
\(334\) | −12.3020 | + | 21.3077i | −0.673136 | + | 1.16591i | ||||
\(335\) | 8.40420 | + | 3.05888i | 0.459171 | + | 0.167124i | ||||
\(336\) | −0.0714517 | + | 0.196312i | −0.00389801 | + | 0.0107097i | ||||
\(337\) | −1.24376 | − | 1.04363i | −0.0677517 | − | 0.0568504i | 0.608283 | − | 0.793720i | \(-0.291859\pi\) |
−0.676035 | + | 0.736870i | \(0.736303\pi\) | |||||||
\(338\) | −18.2121 | − | 15.2818i | −0.990609 | − | 0.831220i | ||||
\(339\) | −10.1047 | + | 1.78174i | −0.548813 | + | 0.0967706i | ||||
\(340\) | 6.54576 | + | 2.38246i | 0.354994 | + | 0.129207i | ||||
\(341\) | 9.37005 | − | 16.2294i | 0.507417 | − | 0.878872i | ||||
\(342\) | −13.6079 | − | 11.4184i | −0.735830 | − | 0.617434i | ||||
\(343\) | −0.843426 | − | 1.46086i | −0.0455407 | − | 0.0788788i | ||||
\(344\) | −0.0787257 | − | 0.446476i | −0.00424460 | − | 0.0240724i | ||||
\(345\) | − | 11.1050i | − | 0.597873i | ||||||
\(346\) | −10.0753 | + | 3.66712i | −0.541653 | + | 0.197145i | ||||
\(347\) | −0.949655 | + | 5.38576i | −0.0509801 | + | 0.289123i | −0.999630 | − | 0.0272057i | \(-0.991339\pi\) |
0.948650 | + | 0.316329i | \(0.102450\pi\) | |||||||
\(348\) | −3.52094 | − | 9.67372i | −0.188742 | − | 0.518566i | ||||
\(349\) | 2.37346 | − | 1.99157i | 0.127048 | − | 0.106606i | −0.577050 | − | 0.816709i | \(-0.695796\pi\) |
0.704098 | + | 0.710103i | \(0.251352\pi\) | |||||||
\(350\) | −0.384133 | −0.0205328 | ||||||||
\(351\) | −10.7772 | − | 29.6101i | −0.575244 | − | 1.58047i | ||||
\(352\) | −3.71688 | −0.198110 | ||||||||
\(353\) | 0.233956 | − | 0.196312i | 0.0124522 | − | 0.0104486i | −0.636540 | − | 0.771243i | \(-0.719635\pi\) |
0.648992 | + | 0.760795i | \(0.275191\pi\) | |||||||
\(354\) | −1.65910 | + | 1.97724i | −0.0881802 | + | 0.105089i | ||||
\(355\) | 1.34389 | − | 7.62159i | 0.0713264 | − | 0.404512i | ||||
\(356\) | 2.03936 | − | 0.742267i | 0.108086 | − | 0.0393401i | ||||
\(357\) | −0.935412 | − | 0.540060i | −0.0495072 | − | 0.0285830i | ||||
\(358\) | 2.40420 | + | 13.6349i | 0.127066 | + | 0.720627i | ||||
\(359\) | −5.28493 | − | 9.15377i | −0.278928 | − | 0.483117i | 0.692191 | − | 0.721715i | \(-0.256646\pi\) |
−0.971119 | + | 0.238597i | \(0.923312\pi\) | |||||||
\(360\) | −2.02094 | − | 3.50038i | −0.106513 | − | 0.184486i | ||||
\(361\) | −8.03074 | + | 13.9097i | −0.422671 | + | 0.732087i | ||||
\(362\) | 3.29813 | + | 1.20042i | 0.173346 | + | 0.0630928i | ||||
\(363\) | 3.13429 | + | 3.73530i | 0.164507 | + | 0.196052i | ||||
\(364\) | 0.560307 | + | 0.470154i | 0.0293681 | + | 0.0246428i | ||||
\(365\) | 10.7536 | + | 9.02330i | 0.562867 | + | 0.472301i | ||||
\(366\) | 4.20961 | + | 5.01681i | 0.220040 | + | 0.262233i | ||||
\(367\) | −2.51842 | − | 0.916629i | −0.131460 | − | 0.0478477i | 0.275452 | − | 0.961315i | \(-0.411172\pi\) |
−0.406913 | + | 0.913467i | \(0.633395\pi\) | |||||||
\(368\) | 2.37939 | − | 4.12122i | 0.124034 | − | 0.214833i | ||||
\(369\) | 8.70099 | + | 15.0706i | 0.452955 | + | 0.784542i | ||||
\(370\) | 0.195937 | + | 0.339373i | 0.0101863 | + | 0.0176431i | ||||
\(371\) | 0.152704 | + | 0.866025i | 0.00792798 | + | 0.0449618i | ||||
\(372\) | 7.56283 | + | 4.36640i | 0.392115 | + | 0.226388i | ||||
\(373\) | −22.9008 | + | 8.33521i | −1.18576 | + | 0.431581i | −0.858232 | − | 0.513261i | \(-0.828437\pi\) |
−0.327526 | + | 0.944842i | \(0.606215\pi\) | |||||||
\(374\) | 3.33703 | − | 18.9252i | 0.172554 | − | 0.978601i | ||||
\(375\) | 12.2772 | − | 14.6314i | 0.633991 | − | 0.755561i | ||||
\(376\) | 0.592396 | − | 0.497079i | 0.0305505 | − | 0.0256349i | ||||
\(377\) | −36.0428 | −1.85630 | ||||||||
\(378\) | 0.214355 | + | 0.588936i | 0.0110252 | + | 0.0302916i | ||||
\(379\) | −4.08647 | −0.209908 | −0.104954 | − | 0.994477i | \(-0.533469\pi\) | ||||
−0.104954 | + | 0.994477i | \(0.533469\pi\) | |||||||
\(380\) | −6.11128 | + | 5.12797i | −0.313502 | + | 0.263060i | ||||
\(381\) | 3.39986 | + | 9.34105i | 0.174180 | + | 0.478556i | ||||
\(382\) | 3.80154 | − | 21.5596i | 0.194504 | − | 1.10308i | ||||
\(383\) | 15.4017 | − | 5.60575i | 0.786989 | − | 0.286440i | 0.0829050 | − | 0.996557i | \(-0.473580\pi\) |
0.704084 | + | 0.710117i | \(0.251358\pi\) | |||||||
\(384\) | − | 1.73205i | − | 0.0883883i | ||||||
\(385\) | −0.104885 | − | 0.594831i | −0.00534542 | − | 0.0303154i | ||||
\(386\) | 12.8059 | + | 22.1804i | 0.651802 | + | 1.12895i | ||||
\(387\) | −1.04189 | − | 0.874249i | −0.0529622 | − | 0.0444406i | ||||
\(388\) | 1.71301 | − | 2.96702i | 0.0869650 | − | 0.150628i | ||||
\(389\) | 26.2263 | + | 9.54558i | 1.32972 | + | 0.483980i | 0.906562 | − | 0.422073i | \(-0.138698\pi\) |
0.423163 | + | 0.906054i | \(0.360920\pi\) | |||||||
\(390\) | −13.9363 | + | 2.45734i | −0.705691 | + | 0.124432i | ||||
\(391\) | 18.8478 | + | 15.8152i | 0.953172 | + | 0.799807i | ||||
\(392\) | 5.35117 | + | 4.49016i | 0.270275 | + | 0.226787i | ||||
\(393\) | 10.2010 | − | 28.0270i | 0.514572 | − | 1.41377i | ||||
\(394\) | 12.8598 | + | 4.68058i | 0.647867 | + | 0.235804i | ||||
\(395\) | −9.42649 | + | 16.3272i | −0.474298 | + | 0.821508i | ||||
\(396\) | −8.54189 | + | 7.16750i | −0.429246 | + | 0.360180i | ||||
\(397\) | 16.2469 | + | 28.1405i | 0.815409 | + | 1.41233i | 0.909034 | + | 0.416722i | \(0.136821\pi\) |
−0.0936247 | + | 0.995608i | \(0.529845\pi\) | |||||||
\(398\) | 2.15317 | + | 12.2112i | 0.107929 | + | 0.612094i | ||||
\(399\) | 1.07129 | − | 0.618509i | 0.0536316 | − | 0.0309642i | ||||
\(400\) | 2.99273 | − | 1.08926i | 0.149636 | − | 0.0544632i | ||||
\(401\) | 2.67096 | − | 15.1478i | 0.133381 | − | 0.756443i | −0.842592 | − | 0.538553i | \(-0.818971\pi\) |
0.975973 | − | 0.217891i | \(-0.0699176\pi\) | |||||||
\(402\) | 11.3229 | + | 1.99654i | 0.564737 | + | 0.0995784i | ||||
\(403\) | 23.4217 | − | 19.6532i | 1.16672 | − | 0.978994i | ||||
\(404\) | 8.61856 | 0.428789 | ||||||||
\(405\) | −11.3944 | − | 4.14722i | −0.566192 | − | 0.206077i | ||||
\(406\) | 0.716881 | 0.0355782 | ||||||||
\(407\) | 0.828163 | − | 0.694911i | 0.0410505 | − | 0.0344455i | ||||
\(408\) | 8.81908 | + | 1.55504i | 0.436609 | + | 0.0769860i | ||||
\(409\) | −1.65822 | + | 9.40425i | −0.0819938 | + | 0.465010i | 0.915971 | + | 0.401244i | \(0.131422\pi\) |
−0.997965 | + | 0.0637658i | \(0.979689\pi\) | |||||||
\(410\) | 7.34389 | − | 2.67296i | 0.362689 | − | 0.132008i | ||||
\(411\) | 0.129700 | − | 0.0748822i | 0.00639762 | − | 0.00369366i | ||||
\(412\) | −0.379385 | − | 2.15160i | −0.0186910 | − | 0.106002i | ||||
\(413\) | −0.0898700 | − | 0.155659i | −0.00442222 | − | 0.00765950i | ||||
\(414\) | −2.47906 | − | 14.0594i | −0.121839 | − | 0.690983i | ||||
\(415\) | 1.59627 | − | 2.76481i | 0.0783576 | − | 0.135719i | ||||
\(416\) | −5.69846 | − | 2.07407i | −0.279390 | − | 0.101690i | ||||
\(417\) | −10.8780 | + | 29.8872i | −0.532700 | + | 1.46358i | ||||
\(418\) | 16.8596 | + | 14.1469i | 0.824631 | + | 0.691948i | ||||
\(419\) | −26.0239 | − | 21.8367i | −1.27135 | − | 1.06679i | −0.994375 | − | 0.105915i | \(-0.966223\pi\) |
−0.276977 | − | 0.960876i | \(-0.589333\pi\) | |||||||
\(420\) | 0.277189 | − | 0.0488759i | 0.0135254 | − | 0.00238490i | ||||
\(421\) | 11.8229 | + | 4.30320i | 0.576215 | + | 0.209725i | 0.613656 | − | 0.789574i | \(-0.289698\pi\) |
−0.0374406 | + | 0.999299i | \(0.511920\pi\) | |||||||
\(422\) | 7.42127 | − | 12.8540i | 0.361262 | − | 0.625724i | ||||
\(423\) | 0.402856 | − | 2.28471i | 0.0195875 | − | 0.111086i | ||||
\(424\) | −3.64543 | − | 6.31407i | −0.177038 | − | 0.306638i | ||||
\(425\) | 2.85932 | + | 16.2160i | 0.138697 | + | 0.786591i | ||||
\(426\) | − | 9.94929i | − | 0.482044i | ||||||
\(427\) | −0.428548 | + | 0.155979i | −0.0207389 | + | 0.00754834i | ||||
\(428\) | −1.78699 | + | 10.1345i | −0.0863774 | + | 0.489870i | ||||
\(429\) | 13.3525 | + | 36.6857i | 0.644665 | + | 1.77120i | ||||
\(430\) | −0.467911 | + | 0.392624i | −0.0225647 | + | 0.0189340i | ||||
\(431\) | −7.77601 | −0.374557 | −0.187279 | − | 0.982307i | \(-0.559967\pi\) | ||||
−0.187279 | + | 0.982307i | \(0.559967\pi\) | |||||||
\(432\) | −3.34002 | − | 3.98048i | −0.160697 | − | 0.191511i | ||||
\(433\) | −40.6536 | −1.95369 | −0.976845 | − | 0.213950i | \(-0.931367\pi\) | ||||
−0.976845 | + | 0.213950i | \(0.931367\pi\) | |||||||
\(434\) | −0.465852 | + | 0.390896i | −0.0223616 | + | 0.0187636i | ||||
\(435\) | −8.91534 | + | 10.6249i | −0.427458 | + | 0.509425i | ||||
\(436\) | −1.92602 | + | 10.9230i | −0.0922397 | + | 0.523117i | ||||
\(437\) | −26.4786 | + | 9.63744i | −1.26665 | + | 0.461021i | ||||
\(438\) | 15.6288 | + | 9.02330i | 0.746774 | + | 0.431150i | ||||
\(439\) | −3.07280 | − | 17.4267i | −0.146657 | − | 0.831731i | −0.966022 | − | 0.258459i | \(-0.916785\pi\) |
0.819366 | − | 0.573271i | \(-0.194326\pi\) | |||||||
\(440\) | 2.50387 | + | 4.33683i | 0.119367 | + | 0.206750i | ||||
\(441\) | 20.9564 | 0.997922 | ||||||||
\(442\) | 15.6766 | − | 27.1527i | 0.745662 | − | 1.29152i | ||||
\(443\) | −13.5086 | − | 4.91673i | −0.641814 | − | 0.233601i | 0.000551343 | − | 1.00000i | \(-0.499825\pi\) |
−0.642365 | + | 0.766399i | \(0.722047\pi\) | |||||||
\(444\) | 0.323826 | + | 0.385920i | 0.0153681 | + | 0.0183150i | ||||
\(445\) | −2.23989 | − | 1.87949i | −0.106181 | − | 0.0890962i | ||||
\(446\) | 5.15657 | + | 4.32688i | 0.244171 | + | 0.204884i | ||||
\(447\) | −5.45723 | − | 6.50368i | −0.258118 | − | 0.307613i | ||||
\(448\) | 0.113341 | + | 0.0412527i | 0.00535485 | + | 0.00194901i | ||||
\(449\) | −13.9859 | + | 24.2243i | −0.660036 | + | 1.14322i | 0.320569 | + | 0.947225i | \(0.396126\pi\) |
−0.980606 | + | 0.195991i | \(0.937208\pi\) | |||||||
\(450\) | 4.77719 | − | 8.27433i | 0.225199 | − | 0.390056i | ||||
\(451\) | −10.7802 | − | 18.6718i | −0.507619 | − | 0.879222i | ||||
\(452\) | 1.02869 | + | 5.83396i | 0.0483853 | + | 0.274407i | ||||
\(453\) | −2.59714 | − | 1.49946i | −0.122024 | − | 0.0704509i | ||||
\(454\) | 13.6211 | − | 4.95767i | 0.639269 | − | 0.232675i | ||||
\(455\) | 0.171122 | − | 0.970481i | 0.00802232 | − | 0.0454968i | ||||
\(456\) | −6.59240 | + | 7.85651i | −0.308717 | + | 0.367915i | ||||
\(457\) | 6.53280 | − | 5.48167i | 0.305592 | − | 0.256422i | −0.477075 | − | 0.878862i | \(-0.658303\pi\) |
0.782667 | + | 0.622440i | \(0.213859\pi\) | |||||||
\(458\) | −25.7870 | −1.20495 | ||||||||
\(459\) | 23.2661 | − | 13.4327i | 1.08597 | − | 0.626984i | ||||
\(460\) | −6.41147 | −0.298937 | ||||||||
\(461\) | 16.6361 | − | 13.9593i | 0.774820 | − | 0.650151i | −0.167118 | − | 0.985937i | \(-0.553446\pi\) |
0.941938 | + | 0.335785i | \(0.109002\pi\) | |||||||
\(462\) | −0.265578 | − | 0.729669i | −0.0123558 | − | 0.0339473i | ||||
\(463\) | −3.43882 | + | 19.5025i | −0.159815 | + | 0.906358i | 0.794435 | + | 0.607349i | \(0.207767\pi\) |
−0.954250 | + | 0.299009i | \(0.903344\pi\) | |||||||
\(464\) | −5.58512 | + | 2.03282i | −0.259283 | + | 0.0943712i | ||||
\(465\) | − | 11.7657i | − | 0.545620i | ||||||
\(466\) | −1.80541 | − | 10.2390i | −0.0836339 | − | 0.474311i | ||||
\(467\) | −18.4927 | − | 32.0303i | −0.855741 | − | 1.48219i | −0.875956 | − | 0.482392i | \(-0.839768\pi\) |
0.0202143 | − | 0.999796i | \(-0.493565\pi\) | |||||||
\(468\) | −17.0954 | + | 6.22221i | −0.790235 | + | 0.287622i | ||||
\(469\) | −0.400330 | + | 0.693392i | −0.0184855 | + | 0.0320178i | ||||
\(470\) | −0.979055 | − | 0.356347i | −0.0451605 | − | 0.0164371i | ||||
\(471\) | 9.91921 | − | 1.74903i | 0.457053 | − | 0.0805908i | ||||
\(472\) | 1.14156 | + | 0.957882i | 0.0525445 | + | 0.0440901i | ||||
\(473\) | 1.29086 | + | 1.08316i | 0.0593538 | + | 0.0498037i | ||||
\(474\) | −8.28952 | + | 22.7753i | −0.380750 | + | 1.04610i | ||||
\(475\) | −17.7208 | − | 6.44983i | −0.813084 | − | 0.295938i | ||||
\(476\) | −0.311804 | + | 0.540060i | −0.0142915 | + | 0.0247536i | ||||
\(477\) | −20.5535 | − | 7.48086i | −0.941080 | − | 0.342525i | ||||
\(478\) | −11.4572 | − | 19.8445i | −0.524042 | − | 0.907667i | ||||
\(479\) | −1.97131 | − | 11.1799i | −0.0900717 | − | 0.510822i | −0.996147 | − | 0.0877044i | \(-0.972047\pi\) |
0.906075 | − | 0.423117i | \(-0.139064\pi\) | |||||||
\(480\) | −2.02094 | + | 1.16679i | −0.0922431 | + | 0.0532566i | ||||
\(481\) | 1.65745 | − | 0.603263i | 0.0755733 | − | 0.0275064i | ||||
\(482\) | 2.09714 | − | 11.8935i | 0.0955223 | − | 0.541734i | ||||
\(483\) | 0.979055 | + | 0.172634i | 0.0445486 | + | 0.00785511i | ||||
\(484\) | 2.15657 | − | 1.80958i | 0.0980261 | − | 0.0822537i | ||||
\(485\) | −4.61587 | −0.209596 | ||||||||
\(486\) | −15.3516 | − | 2.70691i | −0.696364 | − | 0.122788i | ||||
\(487\) | 1.13785 | 0.0515610 | 0.0257805 | − | 0.999668i | \(-0.491793\pi\) | ||||
0.0257805 | + | 0.999668i | \(0.491793\pi\) | |||||||
\(488\) | 2.89646 | − | 2.43042i | 0.131117 | − | 0.110020i | ||||
\(489\) | −4.62108 | − | 0.814821i | −0.208973 | − | 0.0368475i | ||||
\(490\) | 1.63429 | − | 9.26849i | 0.0738295 | − | 0.418708i | ||||
\(491\) | 14.3880 | − | 5.23680i | 0.649322 | − | 0.236334i | 0.00370223 | − | 0.999993i | \(-0.498822\pi\) |
0.645619 | + | 0.763659i | \(0.276599\pi\) | |||||||
\(492\) | 8.70099 | − | 5.02352i | 0.392271 | − | 0.226478i | ||||
\(493\) | −5.33615 | − | 30.2628i | −0.240328 | − | 1.36297i | ||||
\(494\) | 17.9538 | + | 31.0969i | 0.807781 | + | 1.39912i | ||||
\(495\) | 14.1172 | + | 5.13824i | 0.634521 | + | 0.230947i | ||||
\(496\) | 2.52094 | − | 4.36640i | 0.113194 | − | 0.196057i | ||||
\(497\) | 0.651055 | + | 0.236965i | 0.0292038 | + | 0.0106293i | ||||
\(498\) | 1.40373 | − | 3.85673i | 0.0629028 | − | 0.172824i | ||||
\(499\) | 1.77584 | + | 1.49011i | 0.0794977 | + | 0.0667065i | 0.681671 | − | 0.731659i | \(-0.261254\pi\) |
−0.602173 | + | 0.798366i | \(0.705698\pi\) | |||||||
\(500\) | −8.44743 | − | 7.08824i | −0.377781 | − | 0.316996i | ||||
\(501\) | 41.9680 | − | 7.40008i | 1.87499 | − | 0.330611i | ||||
\(502\) | −13.1998 | − | 4.80434i | −0.589136 | − | 0.214428i | ||||
\(503\) | −4.02869 | + | 6.97789i | −0.179630 | + | 0.311129i | −0.941754 | − | 0.336303i | \(-0.890823\pi\) |
0.762124 | + | 0.647431i | \(0.224157\pi\) | |||||||
\(504\) | 0.340022 | − | 0.123758i | 0.0151458 | − | 0.00551262i | ||||
\(505\) | −5.80587 | − | 10.0561i | −0.258358 | − | 0.447489i | ||||
\(506\) | 3.07145 | + | 17.4191i | 0.136543 | + | 0.774372i | ||||
\(507\) | 41.1782i | 1.82879i | ||||||||
\(508\) | 5.39306 | − | 1.96291i | 0.239278 | − | 0.0870901i | ||||
\(509\) | 1.24944 | − | 7.08591i | 0.0553803 | − | 0.314077i | −0.944516 | − | 0.328465i | \(-0.893469\pi\) |
0.999896 | + | 0.0143875i | \(0.00457984\pi\) | |||||||
\(510\) | −4.12654 | − | 11.3376i | −0.182726 | − | 0.502037i | ||||
\(511\) | −0.962697 | + | 0.807798i | −0.0425872 | + | 0.0357349i | ||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | 30.7678i | 1.35843i | ||||||||
\(514\) | −18.1429 | −0.800249 | ||||||||
\(515\) | −2.25490 | + | 1.89209i | −0.0993628 | + | 0.0833753i | ||||
\(516\) | −0.504748 | + | 0.601535i | −0.0222203 | + | 0.0264811i | ||||
\(517\) | −0.499123 | + | 2.83067i | −0.0219514 | + | 0.124493i | ||||
\(518\) | −0.0329662 | + | 0.0119987i | −0.00144845 | + | 0.000527194i | ||||
\(519\) | 16.0829 | + | 9.28547i | 0.705961 | + | 0.407587i | ||||
\(520\) | 1.41875 | + | 8.04612i | 0.0622162 | + | 0.352846i | ||||
\(521\) | −4.84343 | − | 8.38906i | −0.212194 | − | 0.367531i | 0.740207 | − | 0.672379i | \(-0.234728\pi\) |
−0.952401 | + | 0.304848i | \(0.901394\pi\) | |||||||
\(522\) | −8.91534 | + | 15.4418i | −0.390214 | + | 0.675871i | ||||
\(523\) | −7.29339 | + | 12.6325i | −0.318917 | + | 0.552381i | −0.980262 | − | 0.197701i | \(-0.936653\pi\) |
0.661345 | + | 0.750082i | \(0.269986\pi\) | |||||||
\(524\) | −16.1814 | − | 5.88954i | −0.706887 | − | 0.257286i | ||||
\(525\) | 0.427671 | + | 0.509678i | 0.0186651 | + | 0.0222442i | ||||
\(526\) | −3.27379 | − | 2.74703i | −0.142744 | − | 0.119776i | ||||
\(527\) | 19.9691 | + | 16.7561i | 0.869867 | + | 0.729905i | ||||
\(528\) | 4.13816 | + | 4.93166i | 0.180090 | + | 0.214623i | ||||
\(529\) | 0.332748 | + | 0.121111i | 0.0144673 | + | 0.00526568i | ||||
\(530\) | −4.91147 | + | 8.50692i | −0.213341 | + | 0.369517i | ||||
\(531\) | 4.47060 | 0.194007 | ||||||||
\(532\) | −0.357097 | − | 0.618509i | −0.0154821 | − | 0.0268158i | ||||
\(533\) | −6.10829 | − | 34.6418i | −0.264579 | − | 1.50050i | ||||
\(534\) | −3.25537 | − | 1.87949i | −0.140874 | − | 0.0813334i | ||||
\(535\) | 13.0287 | − | 4.74205i | 0.563279 | − | 0.205017i | ||||
\(536\) | 1.15270 | − | 6.53731i | 0.0497892 | − | 0.282369i | ||||
\(537\) | 15.4145 | − | 18.3702i | 0.665183 | − | 0.792735i | ||||
\(538\) | −10.0057 | + | 8.39576i | −0.431376 | + | 0.361967i | ||||
\(539\) | −25.9641 | −1.11835 | ||||||||
\(540\) | −2.39440 | + | 6.57856i | −0.103039 | + | 0.283096i | ||||
\(541\) | 23.9786 | 1.03092 | 0.515461 | − | 0.856913i | \(-0.327621\pi\) | ||||
0.515461 | + | 0.856913i | \(0.327621\pi\) | |||||||
\(542\) | −6.50181 | + | 5.45567i | −0.279277 | + | 0.234341i | ||||
\(543\) | −2.07919 | − | 5.71253i | −0.0892267 | − | 0.245148i | ||||
\(544\) | 0.897804 | − | 5.09170i | 0.0384930 | − | 0.218305i | ||||
\(545\) | 14.0424 | − | 5.11100i | 0.601508 | − | 0.218931i | ||||
\(546\) | − | 1.26687i | − | 0.0542171i | ||||||
\(547\) | 6.94269 | + | 39.3739i | 0.296848 | + | 1.68351i | 0.659596 | + | 0.751620i | \(0.270727\pi\) |
−0.362748 | + | 0.931887i | \(0.618161\pi\) | |||||||
\(548\) | −0.0432332 | − | 0.0748822i | −0.00184683 | − | 0.00319881i | ||||
\(549\) | 1.96972 | − | 11.1708i | 0.0840657 | − | 0.476760i | ||||
\(550\) | −5.91875 | + | 10.2516i | −0.252376 | + | 0.437129i | ||||
\(551\) | 33.0710 | + | 12.0369i | 1.40887 | + | 0.512788i | ||||
\(552\) | −8.11721 | + | 1.43128i | −0.345491 | + | 0.0609195i | ||||
\(553\) | −1.29292 | − | 1.08489i | −0.0549805 | − | 0.0461341i | ||||
\(554\) | −5.06624 | − | 4.25108i | −0.215244 | − | 0.180611i | ||||
\(555\) | 0.232145 | − | 0.637812i | 0.00985399 | − | 0.0270736i | ||||
\(556\) | 17.2554 | + | 6.28044i | 0.731791 | + | 0.266350i | ||||
\(557\) | −1.17958 | + | 2.04309i | −0.0499803 | + | 0.0865685i | −0.889933 | − | 0.456091i | \(-0.849249\pi\) |
0.839953 | + | 0.542659i | \(0.182583\pi\) | |||||||
\(558\) | −2.62654 | − | 14.8959i | −0.111190 | − | 0.630593i | ||||
\(559\) | 1.37464 | + | 2.38094i | 0.0581410 | + | 0.100703i | ||||
\(560\) | −0.0282185 | − | 0.160035i | −0.00119245 | − | 0.00676271i | ||||
\(561\) | −28.8258 | + | 16.6426i | −1.21703 | + | 0.702650i | ||||
\(562\) | 27.9320 | − | 10.1664i | 1.17824 | − | 0.428845i | ||||
\(563\) | −7.55825 | + | 42.8650i | −0.318542 | + | 1.80654i | 0.233090 | + | 0.972455i | \(0.425116\pi\) |
−0.551632 | + | 0.834087i | \(0.685995\pi\) | |||||||
\(564\) | −1.31908 | − | 0.232589i | −0.0555432 | − | 0.00979376i | ||||
\(565\) | 6.11406 | − | 5.13030i | 0.257220 | − | 0.215833i | ||||
\(566\) | 2.81521 | 0.118332 | ||||||||
\(567\) | 0.542766 | − | 0.940099i | 0.0227940 | − | 0.0394804i | ||||
\(568\) | −5.74422 | −0.241022 | ||||||||
\(569\) | 11.2187 | − | 9.41360i | 0.470312 | − | 0.394639i | −0.376596 | − | 0.926377i | \(-0.622906\pi\) |
0.846908 | + | 0.531739i | \(0.178461\pi\) | |||||||
\(570\) | 13.6079 | + | 2.39944i | 0.569971 | + | 0.100501i | ||||
\(571\) | −2.57145 | + | 14.5834i | −0.107612 | + | 0.610297i | 0.882533 | + | 0.470251i | \(0.155836\pi\) |
−0.990145 | + | 0.140047i | \(0.955275\pi\) | |||||||
\(572\) | 21.1805 | − | 7.70908i | 0.885602 | − | 0.322333i | ||||
\(573\) | −32.8383 | + | 18.9592i | −1.37184 | + | 0.792031i | ||||
\(574\) | 0.121492 | + | 0.689016i | 0.00507098 | + | 0.0287590i | ||||
\(575\) | −7.57785 | − | 13.1252i | −0.316018 | − | 0.547359i | ||||
\(576\) | −2.29813 | + | 1.92836i | −0.0957556 | + | 0.0803485i | ||||
\(577\) | 16.0706 | − | 27.8351i | 0.669027 | − | 1.15879i | −0.309150 | − | 0.951013i | \(-0.600044\pi\) |
0.978177 | − | 0.207775i | \(-0.0666222\pi\) | |||||||
\(578\) | 9.14455 | + | 3.32834i | 0.380363 | + | 0.138441i | ||||
\(579\) | 15.1723 | − | 41.6856i | 0.630539 | − | 1.73239i | ||||
\(580\) | 6.13429 | + | 5.14728i | 0.254712 | + | 0.213729i | ||||
\(581\) | 0.218941 | + | 0.183713i | 0.00908320 | + | 0.00762171i | ||||
\(582\) | −5.84389 | + | 1.03044i | −0.242237 | + | 0.0427129i | ||||
\(583\) | 25.4650 | + | 9.26849i | 1.05465 | + | 0.383862i | ||||
\(584\) | 5.20961 | − | 9.02330i | 0.215575 | − | 0.373387i | ||||
\(585\) | 18.7763 | + | 15.7552i | 0.776305 | + | 0.651397i | ||||
\(586\) | 4.91787 | + | 8.51800i | 0.203155 | + | 0.351875i | ||||
\(587\) | 4.75918 | + | 26.9907i | 0.196432 | + | 1.11402i | 0.910364 | + | 0.413808i | \(0.135802\pi\) |
−0.713932 | + | 0.700215i | \(0.753087\pi\) | |||||||
\(588\) | − | 12.0992i | − | 0.498961i | ||||||
\(589\) | −28.0540 | + | 10.2108i | −1.15594 | + | 0.420729i | ||||
\(590\) | 0.348641 | − | 1.97724i | 0.0143533 | − | 0.0814016i | ||||
\(591\) | −8.10700 | − | 22.2738i | −0.333477 | − | 0.916222i | ||||
\(592\) | 0.222811 | − | 0.186961i | 0.00915748 | − | 0.00768404i | ||||
\(593\) | 36.2377 | 1.48810 | 0.744052 | − | 0.668121i | \(-0.232901\pi\) | ||||
0.744052 | + | 0.668121i | \(0.232901\pi\) | |||||||
\(594\) | 19.0201 | + | 3.35375i | 0.780403 | + | 0.137606i | ||||
\(595\) | 0.840185 | 0.0344442 | ||||||||
\(596\) | −3.75490 | + | 3.15074i | −0.153807 | + | 0.129059i | ||||
\(597\) | 13.8050 | − | 16.4522i | 0.565001 | − | 0.673342i | ||||
\(598\) | −5.01114 | + | 28.4196i | −0.204921 | + | 1.16216i | ||||
\(599\) | −43.2438 | + | 15.7395i | −1.76689 | + | 0.643097i | −0.766895 | + | 0.641772i | \(0.778199\pi\) |
−0.999999 | + | 0.00132449i | \(0.999578\pi\) | |||||||
\(600\) | −4.77719 | − | 2.75811i | −0.195028 | − | 0.112599i | ||||
\(601\) | 0.294673 | + | 1.67118i | 0.0120200 | + | 0.0681687i | 0.990228 | − | 0.139460i | \(-0.0445366\pi\) |
−0.978208 | + | 0.207628i | \(0.933425\pi\) | |||||||
\(602\) | −0.0273411 | − | 0.0473563i | −0.00111434 | − | 0.00193010i | ||||
\(603\) | −9.95723 | − | 17.2464i | −0.405490 | − | 0.702329i | ||||
\(604\) | −0.865715 | + | 1.49946i | −0.0352254 | + | 0.0610122i | ||||
\(605\) | −3.56418 | − | 1.29725i | −0.144904 | − | 0.0527409i | ||||
\(606\) | −9.59539 | − | 11.4353i | −0.389786 | − | 0.464529i | ||||
\(607\) | −10.7779 | − | 9.04374i | −0.437462 | − | 0.367074i | 0.397297 | − | 0.917690i | \(-0.369948\pi\) |
−0.834758 | + | 0.550616i | \(0.814393\pi\) | |||||||
\(608\) | 4.53596 | + | 3.80612i | 0.183957 | + | 0.154359i | ||||
\(609\) | −0.798133 | − | 0.951178i | −0.0323420 | − | 0.0385437i | ||||
\(610\) | −4.78699 | − | 1.74232i | −0.193820 | − | 0.0705445i | ||||
\(611\) | −2.34477 | + | 4.06126i | −0.0948592 | + | 0.164301i | ||||
\(612\) | −7.75537 | − | 13.4327i | −0.313492 | − | 0.542984i | ||||
\(613\) | 12.8314 | + | 22.2246i | 0.518256 | + | 0.897645i | 0.999775 | + | 0.0212096i | \(0.00675172\pi\) |
−0.481520 | + | 0.876435i | \(0.659915\pi\) | |||||||
\(614\) | −2.35504 | − | 13.3561i | −0.0950416 | − | 0.539007i | ||||
\(615\) | −11.7228 | − | 6.76817i | −0.472709 | − | 0.272919i | ||||
\(616\) | −0.421274 | + | 0.153331i | −0.0169736 | + | 0.00617789i | ||||
\(617\) | 5.46822 | − | 31.0118i | 0.220142 | − | 1.24849i | −0.651615 | − | 0.758550i | \(-0.725908\pi\) |
0.871757 | − | 0.489938i | \(-0.162981\pi\) | |||||||
\(618\) | −2.43242 | + | 2.89884i | −0.0978462 | + | 0.116609i | ||||
\(619\) | −2.42674 | + | 2.03627i | −0.0975388 | + | 0.0818448i | −0.690253 | − | 0.723568i | \(-0.742501\pi\) |
0.592714 | + | 0.805413i | \(0.298056\pi\) | |||||||
\(620\) | −6.79292 | −0.272810 | ||||||||
\(621\) | −15.8944 | + | 18.9422i | −0.637820 | + | 0.760125i | ||||
\(622\) | 10.5767 | 0.424086 | ||||||||
\(623\) | 0.200522 | − | 0.168258i | 0.00803376 | − | 0.00674113i | ||||
\(624\) | 3.59240 | + | 9.87003i | 0.143811 | + | 0.395117i | ||||
\(625\) | 0.185259 | − | 1.05066i | 0.00741037 | − | 0.0420263i | ||||
\(626\) | −10.0544 | + | 3.65949i | −0.401854 | + | 0.146263i | ||||
\(627\) | − | 38.1201i | − | 1.52237i | ||||||
\(628\) | −1.00980 | − | 5.72686i | −0.0402954 | − | 0.228527i | ||||
\(629\) | 0.751907 | + | 1.30234i | 0.0299805 | + | 0.0519277i | ||||
\(630\) | −0.373455 | − | 0.313366i | −0.0148788 | − | 0.0124848i | ||||
\(631\) | −11.2961 | + | 19.5654i | −0.449690 | + | 0.778885i | −0.998366 | − | 0.0571498i | \(-0.981799\pi\) |
0.548676 | + | 0.836035i | \(0.315132\pi\) | |||||||
\(632\) | 13.1493 | + | 4.78595i | 0.523051 | + | 0.190375i | ||||
\(633\) | −25.3175 | + | 4.46416i | −1.00628 | + | 0.177434i | ||||
\(634\) | −22.3537 | − | 18.7570i | −0.887779 | − | 0.744935i | ||||
\(635\) | −5.92333 | − | 4.97027i | −0.235060 | − | 0.197239i | ||||
\(636\) | −4.31908 | + | 11.8666i | −0.171263 | + | 0.470540i | ||||
\(637\) | −39.8063 | − | 14.4883i | −1.57718 | − | 0.574048i | ||||
\(638\) | 11.0458 | − | 19.1318i | 0.437306 | − | 0.757436i | ||||
\(639\) | −13.2010 | + | 11.0769i | −0.522223 | + | 0.438197i | ||||
\(640\) | 0.673648 | + | 1.16679i | 0.0266283 | + | 0.0461215i | ||||
\(641\) | −3.04323 | − | 17.2590i | −0.120200 | − | 0.681691i | −0.984043 | − | 0.177929i | \(-0.943060\pi\) |
0.863843 | − | 0.503761i | \(-0.168051\pi\) | |||||||
\(642\) | 15.4363 | − | 8.91215i | 0.609222 | − | 0.351734i | ||||
\(643\) | 26.4923 | − | 9.64241i | 1.04475 | − | 0.380260i | 0.238074 | − | 0.971247i | \(-0.423484\pi\) |
0.806681 | + | 0.590987i | \(0.201262\pi\) | |||||||
\(644\) | 0.0996702 | − | 0.565258i | 0.00392756 | − | 0.0222743i | ||||
\(645\) | 1.04189 | + | 0.183713i | 0.0410243 | + | 0.00723370i | ||||
\(646\) | −23.4520 | + | 19.6786i | −0.922707 | + | 0.774243i | ||||
\(647\) | 32.3492 | 1.27178 | 0.635888 | − | 0.771781i | \(-0.280634\pi\) | ||||
0.635888 | + | 0.771781i | \(0.280634\pi\) | |||||||
\(648\) | −1.56283 | + | 8.86327i | −0.0613939 | + | 0.348182i | ||||
\(649\) | −5.53890 | −0.217421 | ||||||||
\(650\) | −14.7947 | + | 12.4143i | −0.580297 | + | 0.486927i | ||||
\(651\) | 1.03730 | + | 0.182905i | 0.0406551 | + | 0.00716860i | ||||
\(652\) | −0.470437 | + | 2.66798i | −0.0184237 | + | 0.104486i | ||||
\(653\) | 25.9329 | − | 9.43880i | 1.01483 | − | 0.369369i | 0.219546 | − | 0.975602i | \(-0.429543\pi\) |
0.795287 | + | 0.606234i | \(0.207320\pi\) | |||||||
\(654\) | 16.6373 | − | 9.60554i | 0.650569 | − | 0.375606i | ||||
\(655\) | 4.02869 | + | 22.8478i | 0.157414 | + | 0.892738i | ||||
\(656\) | −2.90033 | − | 5.02352i | −0.113239 | − | 0.196135i | ||||
\(657\) | −5.42783 | − | 30.7828i | −0.211760 | − | 1.20095i | ||||
\(658\) | 0.0466368 | − | 0.0807773i | 0.00181809 | − | 0.00314903i | ||||
\(659\) | 4.90508 | + | 1.78530i | 0.191075 | + | 0.0695455i | 0.435785 | − | 0.900051i | \(-0.356471\pi\) |
−0.244711 | + | 0.969596i | \(0.578693\pi\) | |||||||
\(660\) | 2.96657 | − | 8.15058i | 0.115473 | − | 0.317261i | ||||
\(661\) | −36.7294 | − | 30.8196i | −1.42861 | − | 1.19875i | −0.946529 | − | 0.322618i | \(-0.895437\pi\) |
−0.482080 | − | 0.876127i | \(-0.660119\pi\) | |||||||
\(662\) | 5.59105 | + | 4.69145i | 0.217302 | + | 0.182338i | ||||
\(663\) | −53.4805 | + | 9.43005i | −2.07701 | + | 0.366233i | ||||
\(664\) | −2.22668 | − | 0.810446i | −0.0864120 | − | 0.0314514i | ||||
\(665\) | −0.481115 | + | 0.833315i | −0.0186568 | + | 0.0323146i | ||||
\(666\) | 0.151522 | − | 0.859322i | 0.00587134 | − | 0.0332980i | ||||
\(667\) | 14.1420 | + | 24.4947i | 0.547581 | + | 0.948439i | ||||
\(668\) | −4.27244 | − | 24.2302i | −0.165306 | − | 0.937495i | ||||
\(669\) | − | 11.6592i | − | 0.450770i | ||||||
\(670\) | −8.40420 | + | 3.05888i | −0.324683 | + | 0.118175i | ||||
\(671\) | −2.44041 | + | 13.8402i | −0.0942109 | + | 0.534297i | ||||
\(672\) | −0.0714517 | − | 0.196312i | −0.00275631 | − | 0.00757290i | ||||
\(673\) | −8.51960 | + | 7.14879i | −0.328406 | + | 0.275566i | −0.792050 | − | 0.610456i | \(-0.790986\pi\) |
0.463644 | + | 0.886022i | \(0.346542\pi\) | |||||||
\(674\) | 1.62361 | 0.0625390 | ||||||||
\(675\) | −16.2973 | + | 2.87365i | −0.627282 | + | 0.110607i | ||||
\(676\) | 23.7743 | 0.914394 | ||||||||
\(677\) | −36.9550 | + | 31.0089i | −1.42030 | + | 1.19177i | −0.469115 | + | 0.883137i | \(0.655427\pi\) |
−0.951181 | + | 0.308633i | \(0.900128\pi\) | |||||||
\(678\) | 6.59539 | − | 7.86008i | 0.253294 | − | 0.301865i | ||||
\(679\) | 0.0717564 | − | 0.406951i | 0.00275376 | − | 0.0156173i | ||||
\(680\) | −6.54576 | + | 2.38246i | −0.251018 | + | 0.0913632i | ||||
\(681\) | −21.7429 | − | 12.5533i | −0.833189 | − | 0.481042i | ||||
\(682\) | 3.25418 | + | 18.4554i | 0.124609 | + | 0.706694i | ||||
\(683\) | −6.60401 | − | 11.4385i | −0.252695 | − | 0.437681i | 0.711572 | − | 0.702614i | \(-0.247984\pi\) |
−0.964267 | + | 0.264932i | \(0.914650\pi\) | |||||||
\(684\) | 17.7638 | 0.679217 | ||||||||
\(685\) | −0.0582480 | + | 0.100888i | −0.00222554 | + | 0.00385475i | ||||
\(686\) | 1.58512 | + | 0.576937i | 0.0605203 | + | 0.0220276i | ||||
\(687\) | 28.7098 | + | 34.2150i | 1.09535 | + | 1.30538i | ||||
\(688\) | 0.347296 | + | 0.291416i | 0.0132405 | + | 0.0111101i | ||||
\(689\) | 33.8692 | + | 28.4196i | 1.29031 | + | 1.08270i | ||||
\(690\) | 7.13816 | + | 8.50692i | 0.271745 | + | 0.323853i | ||||
\(691\) | 9.37211 | + | 3.41117i | 0.356532 | + | 0.129767i | 0.514075 | − | 0.857745i | \(-0.328135\pi\) |
−0.157543 | + | 0.987512i | \(0.550357\pi\) | |||||||
\(692\) | 5.36097 | − | 9.28547i | 0.203793 | − | 0.352980i | ||||
\(693\) | −0.672466 | + | 1.16475i | −0.0255449 | + | 0.0442450i | ||||
\(694\) | −2.73442 | − | 4.73616i | −0.103797 | − | 0.179782i | ||||
\(695\) | −4.29607 | − | 24.3642i | −0.162959 | − | 0.924189i | ||||
\(696\) | 8.91534 | + | 5.14728i | 0.337935 | + | 0.195107i | ||||
\(697\) | 28.1822 | − | 10.2575i | 1.06748 | − | 0.388529i | ||||
\(698\) | −0.538019 | + | 3.05126i | −0.0203643 | + | 0.115492i | ||||
\(699\) | −11.5753 | + | 13.7949i | −0.437819 | + | 0.521772i | ||||
\(700\) | 0.294263 | − | 0.246916i | 0.0111221 | − | 0.00933254i | ||||
\(701\) | 46.7588 | 1.76605 | 0.883027 | − | 0.469322i | \(-0.155502\pi\) | ||||
0.883027 | + | 0.469322i | \(0.155502\pi\) | |||||||
\(702\) | 27.2888 | + | 15.7552i | 1.02995 | + | 0.594642i | ||||
\(703\) | −1.72226 | −0.0649562 | ||||||||
\(704\) | 2.84730 | − | 2.38917i | 0.107312 | − | 0.0900451i | ||||
\(705\) | 0.617211 | + | 1.69577i | 0.0232455 | + | 0.0638665i | ||||
\(706\) | −0.0530334 | + | 0.300767i | −0.00199594 | + | 0.0113195i | ||||
\(707\) | 0.976834 | − | 0.355538i | 0.0367376 | − | 0.0133714i | ||||
\(708\) | − | 2.58110i | − | 0.0970037i | ||||||
\(709\) | −6.56907 | − | 37.2550i | −0.246707 | − | 1.39914i | −0.816496 | − | 0.577351i | \(-0.804086\pi\) |
0.569789 | − | 0.821791i | \(-0.307025\pi\) | |||||||
\(710\) | 3.86959 | + | 6.70232i | 0.145223 | + | 0.251534i | ||||
\(711\) | 39.4479 | − | 14.3579i | 1.47941 | − | 0.538462i | ||||
\(712\) | −1.08512 | + | 1.87949i | −0.0406667 | + | 0.0704368i | ||||
\(713\) | −22.5462 | − | 8.20616i | −0.844363 | − | 0.307323i | ||||
\(714\) | 1.06371 | − | 0.187561i | 0.0398084 | − | 0.00701929i | ||||
\(715\) | −23.2631 | − | 19.5201i | −0.869991 | − | 0.730009i | ||||
\(716\) | −10.6061 | − | 8.89955i | −0.396367 | − | 0.332592i | ||||
\(717\) | −13.5744 | + | 37.2955i | −0.506947 | + | 1.39283i | ||||
\(718\) | 9.93242 | + | 3.61510i | 0.370675 | + | 0.134915i | ||||
\(719\) | −1.65048 | + | 2.85872i | −0.0615526 | + | 0.106612i | −0.895160 | − | 0.445746i | \(-0.852939\pi\) |
0.833607 | + | 0.552358i | \(0.186272\pi\) | |||||||
\(720\) | 3.79813 | + | 1.38241i | 0.141548 | + | 0.0515193i | ||||
\(721\) | −0.131759 | − | 0.228213i | −0.00490697 | − | 0.00849911i | ||||
\(722\) | −2.78905 | − | 15.8175i | −0.103798 | − | 0.588666i | ||||
\(723\) | −18.1155 | + | 10.4590i | −0.673721 | + | 0.388973i | ||||
\(724\) | −3.29813 | + | 1.20042i | −0.122574 | + | 0.0446133i | ||||
\(725\) | −3.28699 | + | 18.6414i | −0.122076 | + | 0.692326i | ||||
\(726\) | −4.80200 | − | 0.846723i | −0.178219 | − | 0.0314248i | ||||
\(727\) | −16.0548 | + | 13.4716i | −0.595441 | + | 0.499635i | −0.889977 | − | 0.456006i | \(-0.849280\pi\) |
0.294535 | + | 0.955641i | \(0.404835\pi\) | |||||||
\(728\) | −0.731429 | −0.0271086 | ||||||||
\(729\) | 13.5000 | + | 23.3827i | 0.500000 | + | 0.866025i | ||||
\(730\) | −14.0378 | −0.519561 | ||||||||
\(731\) | −1.79561 | + | 1.50669i | −0.0664129 | + | 0.0557271i | ||||
\(732\) | −6.44949 | − | 1.13722i | −0.238380 | − | 0.0420328i | ||||
\(733\) | −3.11943 | + | 17.6912i | −0.115219 | + | 0.653439i | 0.871423 | + | 0.490533i | \(0.163198\pi\) |
−0.986642 | + | 0.162906i | \(0.947913\pi\) | |||||||
\(734\) | 2.51842 | − | 0.916629i | 0.0929565 | − | 0.0338334i | ||||
\(735\) | −14.1172 | + | 8.15058i | −0.520721 | + | 0.300639i | ||||
\(736\) | 0.826352 | + | 4.68647i | 0.0304597 | + | 0.172746i | ||||
\(737\) | 12.3366 | + | 21.3677i | 0.454425 | + | 0.787088i | ||||
\(738\) | −16.3525 | − | 5.95183i | −0.601944 | − | 0.219090i | ||||
\(739\) | 19.6630 | − | 34.0573i | 0.723314 | − | 1.25282i | −0.236350 | − | 0.971668i | \(-0.575951\pi\) |
0.959664 | − | 0.281149i | \(-0.0907154\pi\) | |||||||
\(740\) | −0.368241 | − | 0.134029i | −0.0135368 | − | 0.00492699i | ||||
\(741\) | 21.2716 | − | 58.4431i | 0.781430 | − | 2.14696i | ||||
\(742\) | −0.673648 | − | 0.565258i | −0.0247304 | − | 0.0207513i | ||||
\(743\) | −35.7957 | − | 30.0361i | −1.31322 | − | 1.10192i | −0.987696 | − | 0.156383i | \(-0.950017\pi\) |
−0.325519 | − | 0.945535i | \(-0.605539\pi\) | |||||||
\(744\) | −8.60014 | + | 1.51644i | −0.315296 | + | 0.0555952i | ||||
\(745\) | 6.20574 | + | 2.25870i | 0.227361 | + | 0.0827525i | ||||
\(746\) | 12.1853 | − | 21.1055i | 0.446134 | − | 0.772727i | ||||
\(747\) | −6.68004 | + | 2.43134i | −0.244410 | + | 0.0889580i | ||||
\(748\) | 9.60859 | + | 16.6426i | 0.351325 | + | 0.608513i | ||||
\(749\) | 0.215537 | + | 1.22237i | 0.00787556 | + | 0.0446645i | ||||
\(750\) | 19.0999i | 0.697430i | ||||||||
\(751\) | 31.3184 | − | 11.3990i | 1.14282 | − | 0.415954i | 0.299891 | − | 0.953973i | \(-0.403050\pi\) |
0.842932 | + | 0.538020i | \(0.180827\pi\) | |||||||
\(752\) | −0.134285 | + | 0.761570i | −0.00489688 | + | 0.0277716i | ||||
\(753\) | 8.32136 | + | 22.8627i | 0.303247 | + | 0.833164i | ||||
\(754\) | 27.6104 | − | 23.1679i | 1.00551 | − | 0.843724i | ||||
\(755\) | 2.33275 | 0.0848974 | ||||||||
\(756\) | −0.542766 | − | 0.313366i | −0.0197402 | − | 0.0113970i | ||||
\(757\) | 32.3354 | 1.17525 | 0.587626 | − | 0.809133i | \(-0.300063\pi\) | ||||
0.587626 | + | 0.809133i | \(0.300063\pi\) | |||||||
\(758\) | 3.13041 | − | 2.62673i | 0.113702 | − | 0.0954071i | ||||
\(759\) | 19.6925 | − | 23.4686i | 0.714794 | − | 0.851858i | ||||
\(760\) | 1.38532 | − | 7.85651i | 0.0502507 | − | 0.284986i | ||||
\(761\) | −1.81521 | + | 0.660681i | −0.0658012 | + | 0.0239497i | −0.374711 | − | 0.927142i | \(-0.622258\pi\) |
0.308910 | + | 0.951091i | \(0.400036\pi\) | |||||||
\(762\) | −8.60876 | − | 4.97027i | −0.311862 | − | 0.180054i | ||||
\(763\) | 0.232307 | + | 1.31748i | 0.00841007 | + | 0.0476959i | ||||
\(764\) | 10.9461 | + | 18.9592i | 0.396016 | + | 0.685919i | ||||