Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [392,2,Mod(37,392)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(392, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([0, 21, 32]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("392.37");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 392 = 2^{3} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 392.z (of order \(42\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.13013575923\) |
Analytic rank: | \(0\) |
Dimension: | \(648\) |
Relative dimension: | \(54\) over \(\Q(\zeta_{42})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{42}]$ |
Embedding invariants
Embedding label | 53.10 | ||
Character | \(\chi\) | \(=\) | 392.53 |
Dual form | 392.2.z.a.37.10 |
$q$-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 \(\left(\mathbb{Z}/392\mathbb{Z}\right)^\times\).
\(n\) | \(197\) | \(295\) | \(297\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(e\left(\frac{5}{21}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.23135 | − | 0.695533i | −0.870699 | − | 0.491816i | ||||
\(3\) | 1.73400 | − | 1.86880i | 1.00112 | − | 1.07895i | 0.00424585 | − | 0.999991i | \(-0.498648\pi\) |
0.996878 | − | 0.0789634i | \(-0.0251610\pi\) | |||||||
\(4\) | 1.03247 | + | 1.71290i | 0.516234 | + | 0.856448i | ||||
\(5\) | 0.880547 | + | 2.85466i | 0.393792 | + | 1.27664i | 0.907997 | + | 0.418976i | \(0.137611\pi\) |
−0.514205 | + | 0.857667i | \(0.671913\pi\) | |||||||
\(6\) | −3.43498 | + | 1.09511i | −1.40232 | + | 0.447076i | ||||
\(7\) | −1.33854 | + | 2.28217i | −0.505920 | + | 0.862580i | ||||
\(8\) | −0.0799587 | − | 2.82730i | −0.0282697 | − | 0.999600i | ||||
\(9\) | −0.261493 | − | 3.48939i | −0.0871645 | − | 1.16313i | ||||
\(10\) | 0.901247 | − | 4.12755i | 0.284999 | − | 1.30525i | ||||
\(11\) | 1.69662 | + | 0.127144i | 0.511550 | + | 0.0383353i | 0.328005 | − | 0.944676i | \(-0.393624\pi\) |
0.183545 | + | 0.983011i | \(0.441243\pi\) | |||||||
\(12\) | 4.99136 | + | 1.04067i | 1.44088 | + | 0.300417i | ||||
\(13\) | 0.482883 | + | 1.00272i | 0.133928 | + | 0.278104i | 0.957138 | − | 0.289633i | \(-0.0935333\pi\) |
−0.823210 | + | 0.567737i | \(0.807819\pi\) | |||||||
\(14\) | 3.23554 | − | 1.87917i | 0.864735 | − | 0.502228i | ||||
\(15\) | 6.86167 | + | 3.30441i | 1.77168 | + | 0.853194i | ||||
\(16\) | −1.86802 | + | 3.53702i | −0.467005 | + | 0.884255i | ||||
\(17\) | 2.79033 | − | 0.420575i | 0.676754 | − | 0.102004i | 0.198333 | − | 0.980135i | \(-0.436447\pi\) |
0.478421 | + | 0.878130i | \(0.341209\pi\) | |||||||
\(18\) | −2.10499 | + | 4.47855i | −0.496152 | + | 1.05560i | ||||
\(19\) | 0.392754 | − | 0.226756i | 0.0901038 | − | 0.0520215i | −0.454271 | − | 0.890864i | \(-0.650100\pi\) |
0.544375 | + | 0.838842i | \(0.316767\pi\) | |||||||
\(20\) | −3.98060 | + | 4.45563i | −0.890090 | + | 0.996309i | ||||
\(21\) | 1.94391 | + | 6.45875i | 0.424196 | + | 1.40941i | ||||
\(22\) | −2.00071 | − | 1.33661i | −0.426552 | − | 0.284967i | ||||
\(23\) | 7.01574 | + | 1.05745i | 1.46288 | + | 0.220494i | 0.831737 | − | 0.555170i | \(-0.187347\pi\) |
0.631146 | + | 0.775664i | \(0.282585\pi\) | |||||||
\(24\) | −5.42231 | − | 4.75310i | −1.10682 | − | 0.970222i | ||||
\(25\) | −3.24254 | + | 2.21073i | −0.648508 | + | 0.442145i | ||||
\(26\) | 0.102823 | − | 1.57056i | 0.0201652 | − | 0.308012i | ||||
\(27\) | −0.994929 | − | 0.793429i | −0.191474 | − | 0.152696i | ||||
\(28\) | −5.29112 | + | 0.0634917i | −0.999928 | + | 0.0119988i | ||||
\(29\) | −6.88030 | + | 5.48685i | −1.27764 | + | 1.01888i | −0.279363 | + | 0.960186i | \(0.590123\pi\) |
−0.998276 | + | 0.0586973i | \(0.981305\pi\) | |||||||
\(30\) | −6.15082 | − | 8.84141i | −1.12298 | − | 1.61421i | ||||
\(31\) | 4.94919 | − | 8.57224i | 0.888900 | − | 1.53962i | 0.0477228 | − | 0.998861i | \(-0.484804\pi\) |
0.841177 | − | 0.540759i | \(-0.181863\pi\) | |||||||
\(32\) | 4.76031 | − | 3.05605i | 0.841512 | − | 0.540239i | ||||
\(33\) | 3.17954 | − | 2.95018i | 0.553486 | − | 0.513560i | ||||
\(34\) | −3.72841 | − | 1.42289i | −0.639417 | − | 0.244024i | ||||
\(35\) | −7.69348 | − | 1.81152i | −1.30044 | − | 0.306203i | ||||
\(36\) | 5.70697 | − | 4.05059i | 0.951162 | − | 0.675098i | ||||
\(37\) | −9.08232 | − | 3.56455i | −1.49312 | − | 0.586008i | −0.528336 | − | 0.849035i | \(-0.677184\pi\) |
−0.964788 | + | 0.263027i | \(0.915279\pi\) | |||||||
\(38\) | −0.641335 | + | 0.00604443i | −0.104038 | + | 0.000980536i | ||||
\(39\) | 2.71120 | + | 0.836294i | 0.434139 | + | 0.133914i | ||||
\(40\) | 8.00057 | − | 2.71782i | 1.26500 | − | 0.429725i | ||||
\(41\) | −0.419516 | + | 1.83802i | −0.0655173 | + | 0.287050i | −0.997064 | − | 0.0765714i | \(-0.975603\pi\) |
0.931547 | + | 0.363621i | \(0.118460\pi\) | |||||||
\(42\) | 2.09863 | − | 9.30506i | 0.323826 | − | 1.43580i | ||||
\(43\) | 3.27731 | − | 0.748024i | 0.499785 | − | 0.114073i | 0.0348052 | − | 0.999394i | \(-0.488919\pi\) |
0.464979 | + | 0.885322i | \(0.346062\pi\) | |||||||
\(44\) | 1.53392 | + | 3.03740i | 0.231247 | + | 0.457906i | ||||
\(45\) | 9.73077 | − | 3.81904i | 1.45058 | − | 0.569309i | ||||
\(46\) | −7.90337 | − | 6.18178i | −1.16529 | − | 0.911453i | ||||
\(47\) | −2.83115 | − | 1.93025i | −0.412966 | − | 0.281556i | 0.338963 | − | 0.940800i | \(-0.389924\pi\) |
−0.751929 | + | 0.659244i | \(0.770876\pi\) | |||||||
\(48\) | 3.37085 | + | 9.62414i | 0.486541 | + | 1.38913i | ||||
\(49\) | −3.41662 | − | 6.10956i | −0.488089 | − | 0.872794i | ||||
\(50\) | 5.53035 | − | 0.466894i | 0.782110 | − | 0.0660288i | ||||
\(51\) | 4.05245 | − | 5.94385i | 0.567457 | − | 0.832306i | ||||
\(52\) | −1.21899 | + | 1.86240i | −0.169043 | + | 0.258269i | ||||
\(53\) | 7.46464 | − | 2.92966i | 1.02535 | − | 0.402419i | 0.207733 | − | 0.978186i | \(-0.433391\pi\) |
0.817614 | + | 0.575766i | \(0.195296\pi\) | |||||||
\(54\) | 0.673254 | + | 1.66900i | 0.0916183 | + | 0.227122i | ||||
\(55\) | 1.13100 | + | 4.95523i | 0.152504 | + | 0.668163i | ||||
\(56\) | 6.55941 | + | 3.60197i | 0.876538 | + | 0.481333i | ||||
\(57\) | 0.257270 | − | 1.12717i | 0.0340763 | − | 0.149298i | ||||
\(58\) | 12.2884 | − | 1.97079i | 1.61354 | − | 0.258777i | ||||
\(59\) | −3.14841 | + | 10.2069i | −0.409889 | + | 1.32883i | 0.481841 | + | 0.876258i | \(0.339968\pi\) |
−0.891730 | + | 0.452568i | \(0.850508\pi\) | |||||||
\(60\) | 1.42435 | + | 15.1650i | 0.183883 | + | 1.95779i | ||||
\(61\) | −6.55445 | − | 2.57243i | −0.839212 | − | 0.329366i | −0.0934870 | − | 0.995620i | \(-0.529801\pi\) |
−0.745725 | + | 0.666254i | \(0.767897\pi\) | |||||||
\(62\) | −12.0565 | + | 7.11315i | −1.53117 | + | 0.903370i | ||||
\(63\) | 8.31340 | + | 4.07391i | 1.04739 | + | 0.513264i | ||||
\(64\) | −7.98721 | + | 0.452134i | −0.998402 | + | 0.0565167i | ||||
\(65\) | −2.43722 | + | 2.26141i | −0.302300 | + | 0.280493i | ||||
\(66\) | −5.96708 | + | 1.42124i | −0.734497 | + | 0.174943i | ||||
\(67\) | −7.66481 | − | 4.42528i | −0.936406 | − | 0.540634i | −0.0475741 | − | 0.998868i | \(-0.515149\pi\) |
−0.888832 | + | 0.458234i | \(0.848482\pi\) | |||||||
\(68\) | 3.60133 | + | 4.34531i | 0.436725 | + | 0.526947i | ||||
\(69\) | 14.1414 | − | 11.2774i | 1.70243 | − | 1.35764i | ||||
\(70\) | 8.21343 | + | 7.58169i | 0.981692 | + | 0.906185i | ||||
\(71\) | −0.596399 | + | 0.747861i | −0.0707795 | + | 0.0887547i | −0.815961 | − | 0.578107i | \(-0.803792\pi\) |
0.745181 | + | 0.666862i | \(0.232363\pi\) | |||||||
\(72\) | −9.84462 | + | 1.01833i | −1.16020 | + | 0.120011i | ||||
\(73\) | −7.21886 | + | 4.92174i | −0.844904 | + | 0.576046i | −0.906572 | − | 0.422051i | \(-0.861310\pi\) |
0.0616681 | + | 0.998097i | \(0.480358\pi\) | |||||||
\(74\) | 8.70430 | + | 10.7063i | 1.01185 | + | 1.24458i | ||||
\(75\) | −1.49114 | + | 9.89306i | −0.172182 | + | 1.14235i | ||||
\(76\) | 0.793915 | + | 0.438627i | 0.0910683 | + | 0.0503140i | ||||
\(77\) | −2.56116 | + | 3.70179i | −0.291871 | + | 0.421858i | ||||
\(78\) | −2.75678 | − | 2.91550i | −0.312144 | − | 0.330116i | ||||
\(79\) | −4.98291 | − | 8.63065i | −0.560621 | − | 0.971024i | −0.997442 | − | 0.0714759i | \(-0.977229\pi\) |
0.436821 | − | 0.899548i | \(-0.356104\pi\) | |||||||
\(80\) | −11.7419 | − | 2.21806i | −1.31278 | − | 0.247986i | ||||
\(81\) | 7.17230 | − | 1.08105i | 0.796922 | − | 0.120117i | ||||
\(82\) | 1.79497 | − | 1.97146i | 0.198222 | − | 0.217712i | ||||
\(83\) | 1.02290 | − | 2.12407i | 0.112278 | − | 0.233147i | −0.837257 | − | 0.546810i | \(-0.815842\pi\) |
0.949534 | + | 0.313663i | \(0.101556\pi\) | |||||||
\(84\) | −9.05613 | + | 9.99816i | −0.988105 | + | 1.09089i | ||||
\(85\) | 3.65761 | + | 7.59512i | 0.396724 | + | 0.823806i | ||||
\(86\) | −4.55580 | − | 1.35839i | −0.491265 | − | 0.146479i | ||||
\(87\) | −1.67656 | + | 22.3721i | −0.179746 | + | 2.39854i | ||||
\(88\) | 0.223814 | − | 4.80701i | 0.0238587 | − | 0.512429i | ||||
\(89\) | −1.13399 | − | 15.1321i | −0.120203 | − | 1.60400i | −0.652732 | − | 0.757589i | \(-0.726377\pi\) |
0.532529 | − | 0.846412i | \(-0.321242\pi\) | |||||||
\(90\) | −14.6383 | − | 2.06547i | −1.54301 | − | 0.217720i | ||||
\(91\) | −2.93473 | − | 0.240154i | −0.307643 | − | 0.0251750i | ||||
\(92\) | 5.43222 | + | 13.1090i | 0.566348 | + | 1.36671i | ||||
\(93\) | −7.43797 | − | 24.1133i | −0.771281 | − | 2.50043i | ||||
\(94\) | 2.14360 | + | 4.34598i | 0.221096 | + | 0.448254i | ||||
\(95\) | 0.993151 | + | 0.921509i | 0.101895 | + | 0.0945449i | ||||
\(96\) | 2.54319 | − | 14.1953i | 0.259564 | − | 1.44880i | ||||
\(97\) | −9.10282 | −0.924251 | −0.462125 | − | 0.886815i | \(-0.652913\pi\) | ||||
−0.462125 | + | 0.886815i | \(0.652913\pi\) | |||||||
\(98\) | −0.0423227 | + | 9.89940i | −0.00427524 | + | 0.999991i | ||||
\(99\) | − | 5.95341i | − | 0.598340i | ||||||
\(100\) | −7.13456 | − | 3.27163i | −0.713456 | − | 0.327163i | ||||
\(101\) | 1.77420 | − | 1.91214i | 0.176540 | − | 0.190265i | −0.638583 | − | 0.769553i | \(-0.720479\pi\) |
0.815123 | + | 0.579288i | \(0.196669\pi\) | |||||||
\(102\) | −9.12415 | + | 4.50038i | −0.903426 | + | 0.445604i | ||||
\(103\) | 6.01711 | − | 1.85603i | 0.592883 | − | 0.182880i | 0.0162285 | − | 0.999868i | \(-0.494834\pi\) |
0.576654 | + | 0.816988i | \(0.304358\pi\) | |||||||
\(104\) | 2.79637 | − | 1.44543i | 0.274206 | − | 0.141736i | ||||
\(105\) | −16.7258 | + | 11.2364i | −1.63227 | + | 1.09656i | ||||
\(106\) | −11.2293 | − | 1.58446i | −1.09069 | − | 0.153896i | ||||
\(107\) | 1.36534 | − | 0.102318i | 0.131993 | − | 0.00989149i | −0.00856988 | − | 0.999963i | \(-0.502728\pi\) |
0.140563 | + | 0.990072i | \(0.455109\pi\) | |||||||
\(108\) | 0.331829 | − | 2.52340i | 0.0319303 | − | 0.242814i | ||||
\(109\) | −11.2330 | − | 0.841795i | −1.07592 | − | 0.0806294i | −0.475039 | − | 0.879965i | \(-0.657566\pi\) |
−0.600885 | + | 0.799335i | \(0.705185\pi\) | |||||||
\(110\) | 2.05386 | − | 6.88829i | 0.195828 | − | 0.656773i | ||||
\(111\) | −22.4102 | + | 10.7922i | −2.12708 | + | 1.02435i | ||||
\(112\) | −5.57167 | − | 8.99758i | −0.526473 | − | 0.850192i | ||||
\(113\) | 5.23073 | + | 2.51899i | 0.492066 | + | 0.236966i | 0.663426 | − | 0.748242i | \(-0.269102\pi\) |
−0.171360 | + | 0.985208i | \(0.554816\pi\) | |||||||
\(114\) | −1.10078 | + | 1.20901i | −0.103097 | + | 0.113234i | ||||
\(115\) | 3.15902 | + | 20.9587i | 0.294580 | + | 1.95441i | ||||
\(116\) | −16.5021 | − | 6.12023i | −1.53218 | − | 0.568249i | ||||
\(117\) | 3.37260 | − | 1.94717i | 0.311797 | − | 0.180016i | ||||
\(118\) | 10.9761 | − | 10.3785i | 1.01043 | − | 0.955418i | ||||
\(119\) | −2.77514 | + | 6.93097i | −0.254397 | + | 0.635361i | ||||
\(120\) | 8.79388 | − | 19.6642i | 0.802768 | − | 1.79509i | ||||
\(121\) | −8.01479 | − | 1.20804i | −0.728617 | − | 0.109821i | ||||
\(122\) | 6.28164 | + | 7.72642i | 0.568713 | + | 0.699517i | ||||
\(123\) | 2.70746 | + | 3.97111i | 0.244123 | + | 0.358063i | ||||
\(124\) | 19.7932 | − | 0.373126i | 1.77748 | − | 0.0335077i | ||||
\(125\) | 2.51207 | + | 2.00331i | 0.224686 | + | 0.179181i | ||||
\(126\) | −7.40321 | − | 10.7987i | −0.659530 | − | 0.962022i | ||||
\(127\) | 11.3165 | + | 14.1904i | 1.00418 | + | 1.25920i | 0.965625 | + | 0.259941i | \(0.0837030\pi\) |
0.0385518 | + | 0.999257i | \(0.487726\pi\) | |||||||
\(128\) | 10.1496 | + | 4.99863i | 0.897103 | + | 0.441821i | ||||
\(129\) | 4.28493 | − | 7.42171i | 0.377267 | − | 0.653445i | ||||
\(130\) | 4.57396 | − | 1.08943i | 0.401163 | − | 0.0955492i | ||||
\(131\) | 2.22875 | + | 2.40202i | 0.194727 | + | 0.209866i | 0.822866 | − | 0.568235i | \(-0.192374\pi\) |
−0.628139 | + | 0.778101i | \(0.716183\pi\) | |||||||
\(132\) | 8.33612 | + | 2.40025i | 0.725566 | + | 0.208915i | ||||
\(133\) | −0.00821897 | + | 1.19985i | −0.000712675 | + | 0.104041i | ||||
\(134\) | 6.36017 | + | 10.7802i | 0.549435 | + | 0.931269i | ||||
\(135\) | 1.38889 | − | 3.53884i | 0.119537 | − | 0.304575i | ||||
\(136\) | −1.41220 | − | 7.85546i | −0.121095 | − | 0.673600i | ||||
\(137\) | 13.5084 | + | 4.16679i | 1.15410 | + | 0.355993i | 0.811993 | − | 0.583668i | \(-0.198383\pi\) |
0.342108 | + | 0.939661i | \(0.388859\pi\) | |||||||
\(138\) | −25.2569 | + | 4.05067i | −2.15001 | + | 0.344816i | ||||
\(139\) | −2.07057 | − | 0.472595i | −0.175624 | − | 0.0400850i | 0.133805 | − | 0.991008i | \(-0.457281\pi\) |
−0.309428 | + | 0.950923i | \(0.600138\pi\) | |||||||
\(140\) | −4.84033 | − | 15.0485i | −0.409082 | − | 1.27183i | ||||
\(141\) | −8.51646 | + | 1.94383i | −0.717216 | + | 0.163700i | ||||
\(142\) | 1.25454 | − | 0.506066i | 0.105279 | − | 0.0424682i | ||||
\(143\) | 0.691779 | + | 1.76262i | 0.0578495 | + | 0.147398i | ||||
\(144\) | 12.8305 | + | 5.59334i | 1.06921 | + | 0.466112i | ||||
\(145\) | −21.7215 | − | 14.8095i | −1.80387 | − | 1.22986i | ||||
\(146\) | 12.3122 | − | 1.03945i | 1.01897 | − | 0.0860252i | ||||
\(147\) | −17.3420 | − | 4.20895i | −1.43034 | − | 0.347148i | ||||
\(148\) | −3.27151 | − | 19.2373i | −0.268916 | − | 1.58130i | ||||
\(149\) | −5.61414 | + | 8.23443i | −0.459928 | + | 0.674591i | −0.984220 | − | 0.176948i | \(-0.943378\pi\) |
0.524292 | + | 0.851539i | \(0.324330\pi\) | |||||||
\(150\) | 8.71707 | − | 11.1447i | 0.711746 | − | 0.909964i | ||||
\(151\) | −4.67606 | − | 11.9144i | −0.380533 | − | 0.969581i | −0.984939 | − | 0.172905i | \(-0.944685\pi\) |
0.604406 | − | 0.796677i | \(-0.293411\pi\) | |||||||
\(152\) | −0.672512 | − | 1.09230i | −0.0545479 | − | 0.0885972i | ||||
\(153\) | −2.19720 | − | 9.62657i | −0.177633 | − | 0.778262i | ||||
\(154\) | 5.72841 | − | 2.77685i | 0.461608 | − | 0.223765i | ||||
\(155\) | 28.8288 | + | 6.58000i | 2.31559 | + | 0.528518i | ||||
\(156\) | 1.36674 | + | 5.50745i | 0.109427 | + | 0.440949i | ||||
\(157\) | −1.78814 | + | 5.79700i | −0.142709 | + | 0.462651i | −0.998505 | − | 0.0546627i | \(-0.982592\pi\) |
0.855796 | + | 0.517313i | \(0.173068\pi\) | |||||||
\(158\) | 0.132825 | + | 14.0932i | 0.0105670 | + | 1.12119i | ||||
\(159\) | 7.46871 | − | 19.0300i | 0.592307 | − | 1.50917i | ||||
\(160\) | 12.9157 | + | 10.8981i | 1.02107 | + | 0.861568i | ||||
\(161\) | −11.8041 | + | 14.5957i | −0.930296 | + | 1.15030i | ||||
\(162\) | −9.58355 | − | 3.65741i | −0.752955 | − | 0.287354i | ||||
\(163\) | 16.4824 | + | 17.7639i | 1.29101 | + | 1.39137i | 0.876556 | + | 0.481300i | \(0.159835\pi\) |
0.414449 | + | 0.910072i | \(0.363974\pi\) | |||||||
\(164\) | −3.58147 | + | 1.17911i | −0.279666 | + | 0.0920729i | ||||
\(165\) | 11.2215 | + | 6.47873i | 0.873592 | + | 0.504369i | ||||
\(166\) | −2.73692 | + | 1.90403i | −0.212426 | + | 0.147781i | ||||
\(167\) | −14.4422 | − | 18.1099i | −1.11757 | − | 1.40139i | −0.905612 | − | 0.424107i | \(-0.860588\pi\) |
−0.211956 | − | 0.977279i | \(-0.567983\pi\) | |||||||
\(168\) | 18.1054 | − | 6.01244i | 1.39686 | − | 0.463870i | ||||
\(169\) | 7.33310 | − | 9.19542i | 0.564085 | − | 0.707340i | ||||
\(170\) | 0.778833 | − | 11.8963i | 0.0597337 | − | 0.912402i | ||||
\(171\) | −0.893943 | − | 1.31117i | −0.0683616 | − | 0.100268i | ||||
\(172\) | 4.66500 | + | 4.84137i | 0.355703 | + | 0.369151i | ||||
\(173\) | −1.52319 | + | 10.1057i | −0.115806 | + | 0.768321i | 0.853254 | + | 0.521495i | \(0.174626\pi\) |
−0.969060 | + | 0.246826i | \(0.920612\pi\) | |||||||
\(174\) | 17.6250 | − | 26.3819i | 1.33615 | − | 2.00001i | ||||
\(175\) | −0.704991 | − | 10.3592i | −0.0532923 | − | 0.783081i | ||||
\(176\) | −3.61903 | + | 5.76346i | −0.272795 | + | 0.434437i | ||||
\(177\) | 13.6154 | + | 23.5825i | 1.02339 | + | 1.77257i | ||||
\(178\) | −9.12853 | + | 19.4217i | −0.684212 | + | 1.45572i | ||||
\(179\) | −2.79668 | − | 18.5548i | −0.209034 | − | 1.38685i | −0.809463 | − | 0.587170i | \(-0.800242\pi\) |
0.600430 | − | 0.799678i | \(-0.294996\pi\) | |||||||
\(180\) | 16.5883 | + | 12.7247i | 1.23642 | + | 0.948446i | ||||
\(181\) | 8.00330 | − | 16.6190i | 0.594881 | − | 1.23528i | −0.358505 | − | 0.933528i | \(-0.616713\pi\) |
0.953386 | − | 0.301754i | \(-0.0975723\pi\) | |||||||
\(182\) | 3.44666 | + | 2.33692i | 0.255483 | + | 0.173224i | ||||
\(183\) | −16.1728 | + | 7.78840i | −1.19553 | + | 0.575735i | ||||
\(184\) | 2.42876 | − | 19.9201i | 0.179051 | − | 1.46853i | ||||
\(185\) | 2.17817 | − | 29.0657i | 0.160143 | − | 2.13695i | ||||
\(186\) | −7.61282 | + | 34.8654i | −0.558199 | + | 2.55645i | ||||
\(187\) | 4.78760 | − | 0.358781i | 0.350104 | − | 0.0262367i | ||||
\(188\) | 0.383238 | − | 6.84239i | 0.0279505 | − | 0.499032i | ||||
\(189\) | 3.14249 | − | 1.20856i | 0.228583 | − | 0.0879100i | ||||
\(190\) | −0.581981 | − | 1.82547i | −0.0422213 | − | 0.132434i | ||||
\(191\) | 10.4507 | − | 3.22361i | 0.756185 | − | 0.233252i | 0.107392 | − | 0.994217i | \(-0.465750\pi\) |
0.648794 | + | 0.760964i | \(0.275274\pi\) | |||||||
\(192\) | −13.0049 | + | 15.7105i | −0.938544 | + | 1.13381i | ||||
\(193\) | 4.74268 | + | 4.40056i | 0.341385 | + | 0.316759i | 0.832169 | − | 0.554522i | \(-0.187099\pi\) |
−0.490784 | + | 0.871282i | \(0.663289\pi\) | |||||||
\(194\) | 11.2088 | + | 6.33131i | 0.804744 | + | 0.454561i | ||||
\(195\) | 8.47595i | 0.606976i | ||||||||
\(196\) | 6.93748 | − | 12.1602i | 0.495534 | − | 0.868589i | ||||
\(197\) | 16.9909i | 1.21055i | 0.796016 | + | 0.605276i | \(0.206937\pi\) | ||||
−0.796016 | + | 0.605276i | \(0.793063\pi\) | |||||||
\(198\) | −4.14079 | + | 7.33075i | −0.294273 | + | 0.520974i | ||||
\(199\) | −3.11351 | − | 2.88891i | −0.220711 | − | 0.204790i | 0.562066 | − | 0.827093i | \(-0.310007\pi\) |
−0.782777 | + | 0.622303i | \(0.786197\pi\) | |||||||
\(200\) | 6.50965 | + | 8.99086i | 0.460302 | + | 0.635750i | ||||
\(201\) | −21.5607 | + | 6.65061i | −1.52078 | + | 0.469098i | ||||
\(202\) | −3.51463 | + | 1.12050i | −0.247288 | + | 0.0788382i | ||||
\(203\) | −3.31240 | − | 23.0464i | −0.232485 | − | 1.61754i | ||||
\(204\) | 14.3652 | + | 0.804587i | 1.00577 | + | 0.0563323i | ||||
\(205\) | −5.61632 | + | 0.420885i | −0.392261 | + | 0.0293959i | ||||
\(206\) | −8.70012 | − | 1.89966i | −0.606166 | − | 0.132356i | ||||
\(207\) | 1.85529 | − | 24.7571i | 0.128952 | − | 1.72074i | ||||
\(208\) | −4.44866 | − | 0.165130i | −0.308459 | − | 0.0114497i | ||||
\(209\) | 0.695184 | − | 0.334783i | 0.0480869 | − | 0.0231574i | ||||
\(210\) | 28.4107 | − | 2.20266i | 1.96053 | − | 0.151998i | ||||
\(211\) | 8.43679 | − | 17.5192i | 0.580812 | − | 1.20607i | −0.378992 | − | 0.925400i | \(-0.623729\pi\) |
0.959805 | − | 0.280669i | \(-0.0905564\pi\) | |||||||
\(212\) | 12.7252 | + | 9.76137i | 0.873970 | + | 0.670414i | ||||
\(213\) | 0.363451 | + | 2.41134i | 0.0249033 | + | 0.165222i | ||||
\(214\) | −1.75239 | − | 0.823651i | −0.119791 | − | 0.0563036i | ||||
\(215\) | 5.02118 | + | 8.69693i | 0.342441 | + | 0.593126i | ||||
\(216\) | −2.16371 | + | 2.87640i | −0.147222 | + | 0.195714i | ||||
\(217\) | 12.9387 | + | 22.7692i | 0.878333 | + | 1.54567i | ||||
\(218\) | 13.2463 | + | 8.84945i | 0.897151 | + | 0.599361i | ||||
\(219\) | −3.31972 | + | 22.0249i | −0.224326 | + | 1.48831i | ||||
\(220\) | −7.32007 | + | 7.05340i | −0.493519 | + | 0.475540i | ||||
\(221\) | 1.76912 | + | 2.59482i | 0.119004 | + | 0.174547i | ||||
\(222\) | 35.1012 | + | 2.29803i | 2.35584 | + | 0.154233i | ||||
\(223\) | −2.63725 | + | 3.30701i | −0.176603 | + | 0.221453i | −0.862253 | − | 0.506479i | \(-0.830947\pi\) |
0.685649 | + | 0.727932i | \(0.259518\pi\) | |||||||
\(224\) | 0.602581 | + | 14.9545i | 0.0402616 | + | 0.999189i | ||||
\(225\) | 8.56198 | + | 10.7364i | 0.570799 | + | 0.715759i | ||||
\(226\) | −4.68884 | − | 6.73991i | −0.311897 | − | 0.448332i | ||||
\(227\) | −24.1910 | − | 13.9667i | −1.60561 | − | 0.927002i | −0.990336 | − | 0.138692i | \(-0.955710\pi\) |
−0.615279 | − | 0.788310i | \(-0.710956\pi\) | |||||||
\(228\) | 2.19635 | − | 0.723094i | 0.145457 | − | 0.0478881i | ||||
\(229\) | −10.4279 | − | 11.2386i | −0.689097 | − | 0.742670i | 0.287492 | − | 0.957783i | \(-0.407179\pi\) |
−0.976589 | + | 0.215113i | \(0.930988\pi\) | |||||||
\(230\) | 10.6876 | − | 28.0048i | 0.704719 | − | 1.84658i | ||||
\(231\) | 2.47688 | + | 11.2052i | 0.162967 | + | 0.737247i | ||||
\(232\) | 16.0631 | + | 19.0139i | 1.05459 | + | 1.24832i | ||||
\(233\) | 6.14665 | − | 15.6614i | 0.402680 | − | 1.02601i | −0.575416 | − | 0.817861i | \(-0.695160\pi\) |
0.978096 | − | 0.208152i | \(-0.0667449\pi\) | |||||||
\(234\) | −5.50718 | + | 0.0519039i | −0.360016 | + | 0.00339306i | ||||
\(235\) | 3.01724 | − | 9.78166i | 0.196823 | − | 0.638085i | ||||
\(236\) | −20.7340 | + | 5.14540i | −1.34967 | + | 0.334937i | ||||
\(237\) | −24.7693 | − | 5.65344i | −1.60894 | − | 0.367230i | ||||
\(238\) | 8.23790 | − | 6.60428i | 0.533984 | − | 0.428092i | ||||
\(239\) | 3.05782 | + | 13.3972i | 0.197794 | + | 0.866593i | 0.972246 | + | 0.233960i | \(0.0751685\pi\) |
−0.774452 | + | 0.632633i | \(0.781974\pi\) | |||||||
\(240\) | −24.5055 | + | 18.0972i | −1.58182 | + | 1.16817i | ||||
\(241\) | 2.24015 | + | 5.70780i | 0.144301 | + | 0.367672i | 0.984691 | − | 0.174310i | \(-0.0557695\pi\) |
−0.840390 | + | 0.541982i | \(0.817674\pi\) | |||||||
\(242\) | 9.02882 | + | 7.06207i | 0.580395 | + | 0.453967i | ||||
\(243\) | 12.5671 | − | 18.4325i | 0.806177 | − | 1.18244i | ||||
\(244\) | −2.36095 | − | 13.8830i | −0.151145 | − | 0.888771i | ||||
\(245\) | 14.4322 | − | 15.1331i | 0.922041 | − | 0.966816i | ||||
\(246\) | −0.571801 | − | 6.77297i | −0.0364567 | − | 0.431829i | ||||
\(247\) | 0.417027 | + | 0.284324i | 0.0265348 | + | 0.0180911i | ||||
\(248\) | −24.6320 | − | 13.3074i | −1.56413 | − | 0.845020i | ||||
\(249\) | −2.19577 | − | 5.59474i | −0.139151 | − | 0.354552i | ||||
\(250\) | −1.69988 | − | 4.21400i | −0.107510 | − | 0.266517i | ||||
\(251\) | −10.2618 | + | 2.34219i | −0.647720 | + | 0.147838i | −0.533744 | − | 0.845646i | \(-0.679216\pi\) |
−0.113975 | + | 0.993484i | \(0.536358\pi\) | |||||||
\(252\) | 1.60514 | + | 18.4462i | 0.101114 | + | 1.16200i | ||||
\(253\) | 11.7686 | + | 2.68610i | 0.739884 | + | 0.168874i | ||||
\(254\) | −4.06470 | − | 25.3444i | −0.255042 | − | 1.59025i | ||||
\(255\) | 20.5361 | + | 6.33454i | 1.28602 | + | 0.396684i | ||||
\(256\) | −9.02100 | − | 13.2144i | −0.563812 | − | 0.825903i | ||||
\(257\) | 3.09244 | − | 7.87940i | 0.192901 | − | 0.491503i | −0.801398 | − | 0.598131i | \(-0.795910\pi\) |
0.994299 | + | 0.106628i | \(0.0340054\pi\) | |||||||
\(258\) | −10.4383 | + | 6.15845i | −0.649861 | + | 0.383408i | ||||
\(259\) | 20.2920 | − | 15.9561i | 1.26088 | − | 0.991466i | ||||
\(260\) | −6.38990 | − | 1.83987i | −0.396285 | − | 0.114104i | ||||
\(261\) | 20.9449 | + | 22.5732i | 1.29646 | + | 1.39725i | ||||
\(262\) | −1.07370 | − | 4.50791i | −0.0663333 | − | 0.278500i | ||||
\(263\) | 4.90521 | − | 8.49608i | 0.302468 | − | 0.523890i | −0.674226 | − | 0.738525i | \(-0.735523\pi\) |
0.976694 | + | 0.214635i | \(0.0688560\pi\) | |||||||
\(264\) | −8.59526 | − | 8.75360i | −0.529002 | − | 0.538747i | ||||
\(265\) | 14.9361 | + | 18.7293i | 0.917520 | + | 1.15053i | ||||
\(266\) | 0.844658 | − | 1.47173i | 0.0517893 | − | 0.0902375i | ||||
\(267\) | −30.2453 | − | 24.1198i | −1.85098 | − | 1.47611i | ||||
\(268\) | −0.333628 | − | 17.6980i | −0.0203796 | − | 1.08108i | ||||
\(269\) | −14.8724 | − | 21.8139i | −0.906789 | − | 1.33001i | −0.943737 | − | 0.330698i | \(-0.892716\pi\) |
0.0369480 | − | 0.999317i | \(-0.488236\pi\) | |||||||
\(270\) | −4.17160 | + | 3.39154i | −0.253875 | + | 0.206403i | ||||
\(271\) | 5.07541 | + | 0.764994i | 0.308309 | + | 0.0464701i | 0.301374 | − | 0.953506i | \(-0.402555\pi\) |
0.00693446 | + | 0.999976i | \(0.497793\pi\) | |||||||
\(272\) | −3.72481 | + | 10.6551i | −0.225850 | + | 0.646060i | ||||
\(273\) | −5.53762 | + | 5.06801i | −0.335152 | + | 0.306730i | ||||
\(274\) | −13.7355 | − | 14.5263i | −0.829792 | − | 0.877568i | ||||
\(275\) | −5.78243 | + | 3.33849i | −0.348694 | + | 0.201319i | ||||
\(276\) | 33.9176 | + | 12.5792i | 2.04160 | + | 0.757181i | ||||
\(277\) | 0.658585 | + | 4.36943i | 0.0395706 | + | 0.262533i | 0.999865 | − | 0.0164565i | \(-0.00523849\pi\) |
−0.960294 | + | 0.278990i | \(0.910000\pi\) | |||||||
\(278\) | 2.22090 | + | 2.02208i | 0.133201 | + | 0.121276i | ||||
\(279\) | −31.2061 | − | 15.0280i | −1.86826 | − | 0.899705i | ||||
\(280\) | −4.50654 | + | 21.8966i | −0.269317 | + | 1.30857i | ||||
\(281\) | 10.3704 | − | 4.99412i | 0.618646 | − | 0.297924i | −0.0981882 | − | 0.995168i | \(-0.531305\pi\) |
0.716834 | + | 0.697244i | \(0.245590\pi\) | |||||||
\(282\) | 11.8388 | + | 3.52994i | 0.704989 | + | 0.210205i | ||||
\(283\) | −24.3030 | − | 1.82126i | −1.44466 | − | 0.108262i | −0.670810 | − | 0.741629i | \(-0.734053\pi\) |
−0.773852 | + | 0.633367i | \(0.781673\pi\) | |||||||
\(284\) | −1.89677 | − | 0.249427i | −0.112553 | − | 0.0148008i | ||||
\(285\) | 3.44424 | − | 0.258110i | 0.204019 | − | 0.0152891i | ||||
\(286\) | 0.374138 | − | 2.65157i | 0.0221232 | − | 0.156791i | ||||
\(287\) | −3.63314 | − | 3.41767i | −0.214457 | − | 0.201738i | ||||
\(288\) | −11.9085 | − | 15.8114i | −0.701718 | − | 0.931697i | ||||
\(289\) | −8.63568 | + | 2.66375i | −0.507981 | + | 0.156691i | ||||
\(290\) | 16.4464 | + | 33.3438i | 0.965767 | + | 1.95801i | ||||
\(291\) | −15.7843 | + | 17.0114i | −0.925289 | + | 0.997225i | ||||
\(292\) | −15.8837 | − | 7.28362i | −0.929521 | − | 0.426242i | ||||
\(293\) | 8.72727i | 0.509852i | 0.966961 | + | 0.254926i | \(0.0820512\pi\) | ||||
−0.966961 | + | 0.254926i | \(0.917949\pi\) | |||||||
\(294\) | 18.4267 | + | 17.2446i | 1.07466 | + | 1.00573i | ||||
\(295\) | −31.9096 | −1.85785 | ||||||||
\(296\) | −9.35183 | + | 25.9634i | −0.543564 | + | 1.50909i | ||||
\(297\) | −1.58713 | − | 1.47265i | −0.0920949 | − | 0.0854516i | ||||
\(298\) | 12.6403 | − | 6.23469i | 0.732234 | − | 0.361166i | ||||
\(299\) | 2.32746 | + | 7.54543i | 0.134600 | + | 0.436363i | ||||
\(300\) | −18.4853 | + | 7.66010i | −1.06725 | + | 0.442256i | ||||
\(301\) | −2.67968 | + | 8.48064i | −0.154454 | + | 0.488816i | ||||
\(302\) | −2.52898 | + | 17.9232i | −0.145526 | + | 1.03137i | ||||
\(303\) | −0.496946 | − | 6.63128i | −0.0285488 | − | 0.380957i | ||||
\(304\) | 0.0683697 | + | 1.81276i | 0.00392127 | + | 0.103969i | ||||
\(305\) | 1.57193 | − | 20.9759i | 0.0900082 | − | 1.20108i | ||||
\(306\) | −3.99006 | + | 13.3819i | −0.228097 | + | 0.764995i | ||||
\(307\) | −1.62702 | − | 3.37854i | −0.0928588 | − | 0.192823i | 0.849366 | − | 0.527804i | \(-0.176984\pi\) |
−0.942225 | + | 0.334981i | \(0.891270\pi\) | |||||||
\(308\) | −8.98509 | − | 0.565013i | −0.511973 | − | 0.0321946i | ||||
\(309\) | 6.96508 | − | 14.4631i | 0.396230 | − | 0.822779i | ||||
\(310\) | −30.9219 | − | 28.1537i | −1.75625 | − | 1.59902i | ||||
\(311\) | −23.9073 | + | 3.60345i | −1.35566 | + | 0.204333i | −0.786346 | − | 0.617786i | \(-0.788030\pi\) |
−0.569315 | + | 0.822119i | \(0.692792\pi\) | |||||||
\(312\) | 2.14767 | − | 7.73223i | 0.121588 | − | 0.437752i | ||||
\(313\) | 9.23228 | + | 15.9908i | 0.521839 | + | 0.903852i | 0.999677 | + | 0.0254041i | \(0.00808725\pi\) |
−0.477838 | + | 0.878448i | \(0.658579\pi\) | |||||||
\(314\) | 6.23383 | − | 5.89445i | 0.351796 | − | 0.332643i | ||||
\(315\) | −4.30930 | + | 27.3192i | −0.242801 | + | 1.53926i | ||||
\(316\) | 9.63871 | − | 17.4461i | 0.542220 | − | 0.981418i | ||||
\(317\) | −2.29639 | + | 15.2356i | −0.128978 | + | 0.855715i | 0.826984 | + | 0.562225i | \(0.190055\pi\) |
−0.955962 | + | 0.293489i | \(0.905183\pi\) | |||||||
\(318\) | −22.4326 | + | 18.2379i | −1.25796 | + | 1.02273i | ||||
\(319\) | −12.3709 | + | 8.43431i | −0.692635 | + | 0.472230i | ||||
\(320\) | −8.32380 | − | 22.4027i | −0.465315 | − | 1.25235i | ||||
\(321\) | 2.17629 | − | 2.72898i | 0.121469 | − | 0.152317i | ||||
\(322\) | 24.6869 | − | 9.76230i | 1.37574 | − | 0.544032i | ||||
\(323\) | 1.00054 | − | 0.797907i | 0.0556718 | − | 0.0443968i | ||||
\(324\) | 9.25689 | + | 11.1692i | 0.514272 | + | 0.620514i | ||||
\(325\) | −3.78250 | − | 2.18383i | −0.209815 | − | 0.121137i | ||||
\(326\) | −7.94039 | − | 33.3377i | −0.439778 | − | 1.84640i | ||||
\(327\) | −21.0511 | + | 19.5326i | −1.16413 | + | 1.08015i | ||||
\(328\) | 5.23017 | + | 1.03913i | 0.288788 | + | 0.0573763i | ||||
\(329\) | 8.19477 | − | 3.87747i | 0.451792 | − | 0.213772i | ||||
\(330\) | −9.31147 | − | 15.7825i | −0.512579 | − | 0.868800i | ||||
\(331\) | 9.43962 | + | 3.70478i | 0.518848 | + | 0.203633i | 0.610291 | − | 0.792177i | \(-0.291053\pi\) |
−0.0914426 | + | 0.995810i | \(0.529148\pi\) | |||||||
\(332\) | 4.69443 | − | 0.440917i | 0.257640 | − | 0.0241985i | ||||
\(333\) | −10.0631 | + | 32.6238i | −0.551456 | + | 1.78778i | ||||
\(334\) | 5.18739 | + | 32.3447i | 0.283841 | + | 1.76982i | ||||
\(335\) | 5.88346 | − | 25.7771i | 0.321448 | − | 1.40835i | ||||
\(336\) | −26.4760 | − | 5.18943i | −1.44438 | − | 0.283106i | ||||
\(337\) | 1.14520 | + | 5.01745i | 0.0623830 | + | 0.273318i | 0.996494 | − | 0.0836650i | \(-0.0266626\pi\) |
−0.934111 | + | 0.356983i | \(0.883805\pi\) | |||||||
\(338\) | −15.4254 | + | 6.22241i | −0.839029 | + | 0.338454i | ||||
\(339\) | 13.7776 | − | 5.40729i | 0.748294 | − | 0.293684i | ||||
\(340\) | −9.23327 | + | 14.1068i | −0.500744 | + | 0.765050i | ||||
\(341\) | 9.48679 | − | 13.9146i | 0.513738 | − | 0.753516i | ||||
\(342\) | 0.188796 | + | 2.23629i | 0.0102089 | + | 0.120925i | ||||
\(343\) | 18.5163 | + | 0.380557i | 0.999789 | + | 0.0205481i | ||||
\(344\) | −2.37693 | − | 9.20611i | −0.128156 | − | 0.496360i | ||||
\(345\) | 44.6454 | + | 30.4387i | 2.40363 | + | 1.63877i | ||||
\(346\) | 8.90442 | − | 11.3843i | 0.478705 | − | 0.612021i | ||||
\(347\) | 22.1765 | − | 8.70364i | 1.19050 | − | 0.467236i | 0.314363 | − | 0.949303i | \(-0.398209\pi\) |
0.876134 | + | 0.482067i | \(0.160114\pi\) | |||||||
\(348\) | −40.0521 | + | 20.2267i | −2.14702 | + | 1.08427i | ||||
\(349\) | −17.2581 | + | 3.93905i | −0.923804 | + | 0.210852i | −0.657864 | − | 0.753137i | \(-0.728540\pi\) |
−0.265941 | + | 0.963989i | \(0.585683\pi\) | |||||||
\(350\) | −6.33706 | + | 13.2462i | −0.338730 | + | 0.708038i | ||||
\(351\) | 0.315151 | − | 1.38077i | 0.0168215 | − | 0.0736998i | ||||
\(352\) | 8.46499 | − | 4.57971i | 0.451185 | − | 0.244099i | ||||
\(353\) | −7.59305 | − | 2.34215i | −0.404137 | − | 0.124660i | 0.0860210 | − | 0.996293i | \(-0.472585\pi\) |
−0.490158 | + | 0.871634i | \(0.663061\pi\) | |||||||
\(354\) | −0.362932 | − | 38.5084i | −0.0192896 | − | 2.04670i | ||||
\(355\) | −2.66005 | − | 1.04399i | −0.141181 | − | 0.0554093i | ||||
\(356\) | 24.7489 | − | 17.5658i | 1.31169 | − | 0.930987i | ||||
\(357\) | 8.14054 | + | 17.2045i | 0.430843 | + | 0.910558i | ||||
\(358\) | −9.46174 | + | 24.7927i | −0.500069 | + | 1.31033i | ||||
\(359\) | 5.26458 | − | 4.88482i | 0.277854 | − | 0.257811i | −0.528919 | − | 0.848672i | \(-0.677402\pi\) |
0.806773 | + | 0.590861i | \(0.201212\pi\) | |||||||
\(360\) | −11.5756 | − | 27.2064i | −0.610089 | − | 1.43390i | ||||
\(361\) | −9.39716 | + | 16.2764i | −0.494588 | + | 0.856651i | ||||
\(362\) | −21.4140 | + | 14.8973i | −1.12549 | + | 0.782987i | ||||
\(363\) | −16.1552 | + | 12.8833i | −0.847928 | + | 0.676200i | ||||
\(364\) | −2.61866 | − | 5.27484i | −0.137255 | − | 0.276477i | ||||
\(365\) | −20.4064 | − | 16.2736i | −1.06812 | − | 0.851799i | ||||
\(366\) | 25.3315 | + | 1.65842i | 1.32410 | + | 0.0866870i | ||||
\(367\) | 17.4575 | − | 11.9023i | 0.911274 | − | 0.621296i | −0.0142855 | − | 0.999898i | \(-0.504547\pi\) |
0.925560 | + | 0.378602i | \(0.123595\pi\) | |||||||
\(368\) | −16.8458 | + | 22.8395i | −0.878147 | + | 1.19059i | ||||
\(369\) | 6.52326 | + | 0.983223i | 0.339587 | + | 0.0511845i | ||||
\(370\) | −22.8983 | + | 34.2752i | −1.19042 | + | 1.78188i | ||||
\(371\) | −3.30574 | + | 20.9571i | −0.171625 | + | 1.08804i | ||||
\(372\) | 33.6241 | − | 37.6367i | 1.74333 | − | 1.95137i | ||||
\(373\) | 12.7062 | − | 7.33594i | 0.657903 | − | 0.379840i | −0.133574 | − | 0.991039i | \(-0.542646\pi\) |
0.791478 | + | 0.611198i | \(0.209312\pi\) | |||||||
\(374\) | −6.14478 | − | 2.88815i | −0.317739 | − | 0.149342i | ||||
\(375\) | 8.09970 | − | 1.22083i | 0.418267 | − | 0.0630435i | ||||
\(376\) | −5.23101 | + | 8.15885i | −0.269769 | + | 0.420761i | ||||
\(377\) | −8.82414 | − | 4.24948i | −0.454466 | − | 0.218859i | ||||
\(378\) | −4.71012 | − | 0.697539i | −0.242262 | − | 0.0358775i | ||||
\(379\) | 11.3912 | + | 23.6542i | 0.585129 | + | 1.21503i | 0.957898 | + | 0.287108i | \(0.0926939\pi\) |
−0.372770 | + | 0.927924i | \(0.621592\pi\) | |||||||
\(380\) | −0.553053 | + | 2.65259i | −0.0283710 | + | 0.136075i | ||||
\(381\) | 46.1419 | + | 3.45786i | 2.36392 | + | 0.177151i | ||||
\(382\) | −15.1106 | − | 3.29939i | −0.773127 | − | 0.168812i | ||||
\(383\) | 0.703275 | + | 9.38455i | 0.0359357 | + | 0.479528i | 0.985919 | + | 0.167226i | \(0.0534811\pi\) |
−0.949983 | + | 0.312302i | \(0.898900\pi\) | |||||||
\(384\) | 26.9408 | − | 10.2999i | 1.37482 | − | 0.525616i | ||||
\(385\) | −12.8226 | − | 4.05164i | −0.653499 | − | 0.206490i | ||||
\(386\) | −2.77918 | − | 8.71734i | −0.141457 | − | 0.443701i | ||||
\(387\) | −3.46714 | − | 11.2402i | −0.176245 | − | 0.571371i | ||||
\(388\) | −9.39836 | − | 15.5922i | −0.477130 | − | 0.791572i | ||||
\(389\) | −8.30312 | + | 8.94863i | −0.420985 | + | 0.453714i | −0.907558 | − | 0.419926i | \(-0.862056\pi\) |
0.486574 | + | 0.873640i | \(0.338247\pi\) | |||||||
\(390\) | 5.89531 | − | 10.4369i | 0.298520 | − | 0.528493i | ||||
\(391\) | 20.0210 | 1.01250 | ||||||||
\(392\) | −17.0003 | + | 10.1483i | −0.858647 | + | 0.512568i | ||||
\(393\) | 8.35356 | 0.421381 | ||||||||
\(394\) | 11.8177 | − | 20.9218i | 0.595369 | − | 1.05403i | ||||
\(395\) | 20.2499 | − | 21.8242i | 1.01888 | − | 1.09810i | ||||
\(396\) | 10.1976 | − | 6.14670i | 0.512447 | − | 0.308883i | ||||
\(397\) | 3.51013 | + | 11.3796i | 0.176168 | + | 0.571124i | 0.999991 | + | 0.00427579i | \(0.00136103\pi\) |
−0.823823 | + | 0.566848i | \(0.808163\pi\) | |||||||
\(398\) | 1.82450 | + | 5.72283i | 0.0914539 | + | 0.286859i | ||||
\(399\) | 2.22804 | + | 2.09590i | 0.111542 | + | 0.104926i | ||||
\(400\) | −1.76225 | − | 15.5986i | −0.0881124 | − | 0.779930i | ||||
\(401\) | 0.498112 | + | 6.64684i | 0.0248745 | + | 0.331927i | 0.995733 | + | 0.0922757i | \(0.0294141\pi\) |
−0.970859 | + | 0.239651i | \(0.922967\pi\) | |||||||
\(402\) | 31.1746 | + | 6.80695i | 1.55485 | + | 0.339500i | ||||
\(403\) | 10.9854 | + | 0.823243i | 0.547222 | + | 0.0410086i | ||||
\(404\) | 5.10710 | + | 1.06481i | 0.254088 | + | 0.0529761i | ||||
\(405\) | 9.40158 | + | 19.5226i | 0.467168 | + | 0.970085i | ||||
\(406\) | −11.9508 | + | 30.6822i | −0.593108 | + | 1.52273i | ||||
\(407\) | −14.9560 | − | 7.20244i | −0.741343 | − | 0.357012i | ||||
\(408\) | −17.1291 | − | 10.9822i | −0.848015 | − | 0.543701i | ||||
\(409\) | 8.46298 | − | 1.27559i | 0.418467 | − | 0.0630738i | 0.0635662 | − | 0.997978i | \(-0.479753\pi\) |
0.354901 | + | 0.934904i | \(0.384514\pi\) | |||||||
\(410\) | 7.20842 | + | 3.38808i | 0.355999 | + | 0.167325i | ||||
\(411\) | 31.2104 | − | 18.0194i | 1.53950 | − | 0.888829i | ||||
\(412\) | 9.39165 | + | 8.39038i | 0.462694 | + | 0.413364i | ||||
\(413\) | −19.0797 | − | 20.8476i | −0.938848 | − | 1.02584i | ||||
\(414\) | −19.5039 | + | 29.1944i | −0.958566 | + | 1.43483i | ||||
\(415\) | 6.96422 | + | 1.04969i | 0.341860 | + | 0.0515272i | ||||
\(416\) | 5.36303 | + | 3.29753i | 0.262944 | + | 0.161675i | ||||
\(417\) | −4.47355 | + | 3.05002i | −0.219071 | + | 0.149360i | ||||
\(418\) | −1.08887 | − | 0.0712868i | −0.0532584 | − | 0.00348675i | ||||
\(419\) | 22.6721 | + | 18.0804i | 1.10761 | + | 0.883286i | 0.993906 | − | 0.110229i | \(-0.0351584\pi\) |
0.113700 | + | 0.993515i | \(0.463730\pi\) | |||||||
\(420\) | −36.5157 | − | 17.0484i | −1.78179 | − | 0.831874i | ||||
\(421\) | −8.07775 | + | 6.44179i | −0.393685 | + | 0.313954i | −0.800248 | − | 0.599669i | \(-0.795299\pi\) |
0.406563 | + | 0.913623i | \(0.366727\pi\) | |||||||
\(422\) | −22.5738 | + | 15.7042i | −1.09888 | + | 0.764470i | ||||
\(423\) | −5.99505 | + | 10.3837i | −0.291489 | + | 0.504875i | ||||
\(424\) | −8.87987 | − | 20.8705i | −0.431245 | − | 1.01356i | ||||
\(425\) | −8.11798 | + | 7.53239i | −0.393780 | + | 0.365374i | ||||
\(426\) | 1.22963 | − | 3.22201i | 0.0595758 | − | 0.156107i | ||||
\(427\) | 14.6441 | − | 11.5151i | 0.708679 | − | 0.557254i | ||||
\(428\) | 1.58493 | + | 2.23305i | 0.0766107 | + | 0.107939i | ||||
\(429\) | 4.49354 | + | 1.76358i | 0.216950 | + | 0.0851467i | ||||
\(430\) | −0.133845 | − | 14.2014i | −0.00645457 | − | 0.684852i | ||||
\(431\) | 0.429098 | + | 0.132359i | 0.0206689 | + | 0.00637552i | 0.305072 | − | 0.952329i | \(-0.401319\pi\) |
−0.284403 | + | 0.958705i | \(0.591796\pi\) | |||||||
\(432\) | 4.66492 | − | 2.03694i | 0.224441 | − | 0.0980023i | ||||
\(433\) | −4.20956 | + | 18.4433i | −0.202299 | + | 0.886328i | 0.767234 | + | 0.641367i | \(0.221632\pi\) |
−0.969533 | + | 0.244961i | \(0.921225\pi\) | |||||||
\(434\) | −0.0953540 | − | 37.0362i | −0.00457714 | − | 1.77779i | ||||
\(435\) | −65.3411 | + | 14.9137i | −3.13287 | + | 0.715056i | ||||
\(436\) | −10.1558 | − | 20.1100i | −0.486374 | − | 0.963096i | ||||
\(437\) | 2.99524 | − | 1.17555i | 0.143282 | − | 0.0562340i | ||||
\(438\) | 19.4068 | − | 24.8115i | 0.927293 | − | 1.18554i | ||||
\(439\) | 1.26880 | + | 0.865056i | 0.0605567 | + | 0.0412869i | 0.593220 | − | 0.805040i | \(-0.297856\pi\) |
−0.532663 | + | 0.846327i | \(0.678809\pi\) | |||||||
\(440\) | 13.9195 | − | 3.59388i | 0.663585 | − | 0.171332i | ||||
\(441\) | −20.4252 | + | 13.5195i | −0.972628 | + | 0.643787i | ||||
\(442\) | −0.373629 | − | 4.42563i | −0.0177717 | − | 0.210506i | ||||
\(443\) | 2.44680 | − | 3.58880i | 0.116251 | − | 0.170509i | −0.763703 | − | 0.645568i | \(-0.776621\pi\) |
0.879954 | + | 0.475059i | \(0.157573\pi\) | |||||||
\(444\) | −41.6236 | − | 27.2437i | −1.97537 | − | 1.29293i | ||||
\(445\) | 42.1985 | − | 16.5617i | 2.00040 | − | 0.785100i | ||||
\(446\) | 5.54752 | − | 2.23780i | 0.262683 | − | 0.105963i | ||||
\(447\) | 5.65364 | + | 24.7702i | 0.267408 | + | 1.17159i | ||||
\(448\) | 9.65935 | − | 18.8334i | 0.456362 | − | 0.889794i | ||||
\(449\) | −0.698543 | + | 3.06052i | −0.0329663 | + | 0.144435i | −0.988733 | − | 0.149692i | \(-0.952172\pi\) |
0.955766 | + | 0.294127i | \(0.0950289\pi\) | |||||||
\(450\) | −3.07533 | − | 19.1754i | −0.144972 | − | 0.903939i | ||||
\(451\) | −0.945451 | + | 3.06508i | −0.0445195 | + | 0.144329i | ||||
\(452\) | 1.08580 | + | 11.5605i | 0.0510717 | + | 0.543758i | ||||
\(453\) | −30.3740 | − | 11.9209i | −1.42709 | − | 0.560093i | ||||
\(454\) | 20.0734 | + | 34.0236i | 0.942092 | + | 1.59681i | ||||
\(455\) | −1.89861 | − | 8.58913i | −0.0890082 | − | 0.402665i | ||||
\(456\) | −3.20743 | − | 0.637252i | −0.150202 | − | 0.0298420i | ||||
\(457\) | −10.7665 | + | 9.98988i | −0.503637 | + | 0.467307i | −0.890599 | − | 0.454789i | \(-0.849715\pi\) |
0.386962 | + | 0.922096i | \(0.373524\pi\) | |||||||
\(458\) | 5.02364 | + | 21.0917i | 0.234739 | + | 0.985551i | ||||
\(459\) | −3.10988 | − | 1.79549i | −0.145157 | − | 0.0838062i | ||||
\(460\) | −32.6385 | + | 27.0502i | −1.52178 | + | 1.26122i | ||||
\(461\) | −8.84185 | + | 7.05114i | −0.411806 | + | 0.328404i | −0.807382 | − | 0.590029i | \(-0.799116\pi\) |
0.395576 | + | 0.918433i | \(0.370545\pi\) | |||||||
\(462\) | 4.74366 | − | 15.5203i | 0.220695 | − | 0.722070i | ||||
\(463\) | 16.6478 | − | 20.8756i | 0.773687 | − | 0.970173i | −0.226305 | − | 0.974056i | \(-0.572665\pi\) |
0.999992 | + | 0.00388357i | \(0.00123618\pi\) | |||||||
\(464\) | −6.55456 | − | 34.5853i | −0.304288 | − | 1.60558i | ||||
\(465\) | 62.2858 | − | 42.4658i | 2.88844 | − | 1.96930i | ||||
\(466\) | −18.4617 | + | 15.0096i | −0.855223 | + | 0.695304i | ||||
\(467\) | −1.68665 | + | 11.1902i | −0.0780490 | + | 0.517821i | 0.915309 | + | 0.402753i | \(0.131947\pi\) |
−0.993358 | + | 0.115068i | \(0.963291\pi\) | |||||||
\(468\) | 6.81740 | + | 3.76652i | 0.315134 | + | 0.174107i | ||||
\(469\) | 20.3589 | − | 11.5690i | 0.940087 | − | 0.534207i | ||||
\(470\) | −10.5188 | + | 9.94610i | −0.485194 | + | 0.458779i | ||||
\(471\) | 7.73283 | + | 13.3937i | 0.356310 | + | 0.617147i | ||||
\(472\) | 29.1097 | + | 8.08537i | 1.33988 | + | 0.372159i | ||||
\(473\) | 5.65544 | − | 0.852421i | 0.260038 | − | 0.0391944i | ||||
\(474\) | 26.5677 | + | 24.1893i | 1.22029 | + | 1.11105i | ||||
\(475\) | −0.772223 | + | 1.60354i | −0.0354320 | + | 0.0735753i | ||||
\(476\) | −14.7373 | + | 2.40247i | −0.675482 | + | 0.110117i | ||||
\(477\) | −12.1747 | − | 25.2809i | −0.557439 | − | 1.15753i | ||||
\(478\) | 5.55293 | − | 18.6235i | 0.253985 | − | 0.851820i | ||||
\(479\) | 1.11592 | − | 14.8909i | 0.0509876 | − | 0.680382i | −0.911888 | − | 0.410438i | \(-0.865376\pi\) |
0.962876 | − | 0.269944i | \(-0.0870052\pi\) | |||||||
\(480\) | 42.7621 | − | 5.23964i | 1.95181 | − | 0.239156i | ||||
\(481\) | −0.811466 | − | 10.8283i | −0.0369997 | − | 0.493726i | ||||
\(482\) | 1.21155 | − | 8.58642i | 0.0551845 | − | 0.391101i | ||||
\(483\) | 6.80815 | + | 47.3685i | 0.309781 | + | 2.15534i | ||||
\(484\) | −6.20578 | − | 14.9758i | −0.282081 | − | 0.680716i | ||||
\(485\) | −8.01545 | − | 25.9855i | −0.363963 | − | 1.17994i | ||||
\(486\) | −28.2949 | + | 13.9561i | −1.28348 | + | 0.633062i | ||||
\(487\) | −27.1938 | − | 25.2322i | −1.23227 | − | 1.14338i | −0.984654 | − | 0.174520i | \(-0.944163\pi\) |
−0.247616 | − | 0.968858i | \(-0.579647\pi\) | |||||||
\(488\) | −6.74895 | + | 18.7371i | −0.305510 | + | 0.848187i | ||||
\(489\) | 61.7777 | 2.79368 | ||||||||
\(490\) | −28.2967 | + | 8.59607i | −1.27832 | + | 0.388331i | ||||
\(491\) | 7.51968i | 0.339359i | 0.985499 | + | 0.169679i | \(0.0542732\pi\) | ||||
−0.985499 | + | 0.169679i | \(0.945727\pi\) | |||||||
\(492\) | −4.00673 | + | 8.73763i | −0.180637 | + | 0.393923i | ||||
\(493\) | −16.8907 | + | 18.2038i | −0.760717 | + | 0.819858i | ||||
\(494\) | −0.315751 | − | 0.640159i | −0.0142063 | − | 0.0288021i | ||||
\(495\) | 16.9950 | − | 5.24225i | 0.763867 | − | 0.235622i | ||||
\(496\) | 21.0750 | + | 33.5185i | 0.946295 | + | 1.50502i | ||||
\(497\) | −0.908444 | − | 2.36213i | −0.0407493 | − | 0.105956i | ||||
\(498\) | −1.18755 | + | 8.41634i | −0.0532154 | + | 0.377145i | ||||
\(499\) | 14.2907 | − | 1.07094i | 0.639740 | − | 0.0479419i | 0.249089 | − | 0.968481i | \(-0.419869\pi\) |
0.390651 | + | 0.920539i | \(0.372250\pi\) | |||||||
\(500\) | −0.837826 | + | 6.37125i | −0.0374687 | + | 0.284931i | ||||
\(501\) | −58.8865 | − | 4.41293i | −2.63086 | − | 0.197155i | ||||
\(502\) | 14.2650 | + | 4.25336i | 0.636678 | + | 0.189837i | ||||
\(503\) | −38.5332 | + | 18.5566i | −1.71811 | + | 0.827399i | −0.728258 | + | 0.685303i | \(0.759670\pi\) |
−0.989853 | + | 0.142096i | \(0.954616\pi\) | |||||||
\(504\) | 10.8534 | − | 23.8302i | 0.483450 | − | 1.06148i | ||||
\(505\) | 7.02077 | + | 3.38103i | 0.312420 | + | 0.150454i | ||||
\(506\) | −12.6230 | − | 11.4930i | −0.561162 | − | 0.510925i | ||||
\(507\) | −4.46886 | − | 29.6490i | −0.198469 | − | 1.31676i | ||||
\(508\) | −12.6228 | + | 34.0351i | −0.560047 | + | 1.51006i | ||||
\(509\) | 11.8759 | − | 6.85655i | 0.526390 | − | 0.303911i | −0.213155 | − | 0.977018i | \(-0.568374\pi\) |
0.739545 | + | 0.673107i | \(0.235041\pi\) | |||||||
\(510\) | −20.8813 | − | 22.0836i | −0.924640 | − | 0.977877i | ||||
\(511\) | −1.56952 | − | 23.0626i | −0.0694315 | − | 1.02023i | ||||
\(512\) | 1.91696 | + | 22.5461i | 0.0847186 | + | 0.996405i | ||||
\(513\) | −0.570677 | − | 0.0860157i | −0.0251960 | − | 0.00379769i | ||||
\(514\) | −9.28827 | + | 7.55144i | −0.409688 | + | 0.333080i | ||||
\(515\) | 10.5967 | + | 15.5425i | 0.466946 | + | 0.684884i | ||||
\(516\) | 17.1367 | − | 0.323046i | 0.754400 | − | 0.0142213i | ||||
\(517\) | −4.55797 | − | 3.63486i | −0.200459 | − | 0.159861i | ||||
\(518\) | −36.0846 | + | 5.53393i | −1.58547 | + | 0.243147i | ||||
\(519\) | 16.2443 | + | 20.3698i | 0.713048 | + | 0.894133i | ||||
\(520\) | 6.58855 | + | 6.70992i | 0.288927 | + | 0.294249i | ||||
\(521\) | −16.0337 | + | 27.7712i | −0.702449 | + | 1.21668i | 0.265156 | + | 0.964206i | \(0.414577\pi\) |
−0.967604 | + | 0.252471i | \(0.918757\pi\) | |||||||
\(522\) | −10.0902 | − | 42.3635i | −0.441635 | − | 1.85420i | ||||
\(523\) | −25.1238 | − | 27.0770i | −1.09859 | − | 1.18400i | −0.981617 | − | 0.190861i | \(-0.938872\pi\) |
−0.116971 | − | 0.993135i | \(-0.537318\pi\) | |||||||
\(524\) | −1.81330 | + | 6.29763i | −0.0792144 | + | 0.275113i | ||||
\(525\) | −20.5817 | − | 16.6453i | −0.898260 | − | 0.726460i | ||||
\(526\) | −11.9494 | + | 7.04994i | −0.521017 | + | 0.307392i | ||||
\(527\) | 10.2046 | − | 26.0009i | 0.444519 | − | 1.13262i | ||||
\(528\) | 4.49540 | + | 16.7571i | 0.195637 | + | 0.729258i | ||||
\(529\) | 26.1242 | + | 8.05825i | 1.13584 | + | 0.350359i | ||||
\(530\) | −5.36482 | − | 33.4510i | −0.233033 | − | 1.45302i | ||||
\(531\) | 36.4391 | + | 8.31700i | 1.58132 | + | 0.360927i | ||||
\(532\) | −2.06371 | + | 1.22473i | −0.0894732 | + | 0.0530989i | ||||
\(533\) | −2.04559 | + | 0.466892i | −0.0886043 | + | 0.0202234i | ||||
\(534\) | 20.4665 | + | 50.7366i | 0.885674 | + | 2.19559i | ||||
\(535\) | 1.49433 | + | 3.80750i | 0.0646057 | + | 0.164613i | ||||
\(536\) | −11.8987 | + | 22.0245i | −0.513946 | + | 0.951315i | ||||
\(537\) | −39.5246 | − | 26.9474i | −1.70561 | − | 1.16287i | ||||
\(538\) | 3.14099 | + | 37.2049i | 0.135417 | + | 1.60402i | ||||
\(539\) | −5.01991 | − | 10.8000i | −0.216223 | − | 0.465188i | ||||
\(540\) | 7.49564 | − | 1.27471i | 0.322561 | − | 0.0548548i | ||||
\(541\) | 8.35485 | − | 12.2543i | 0.359203 | − | 0.526854i | −0.603518 | − | 0.797349i | \(-0.706235\pi\) |
0.962721 | + | 0.270495i | \(0.0871873\pi\) | |||||||
\(542\) | −5.71754 | − | 4.47209i | −0.245590 | − | 0.192093i | ||||
\(543\) | −17.1800 | − | 43.7739i | −0.737264 | − | 1.87852i | ||||
\(544\) | 11.9975 | − | 10.5295i | 0.514390 | − | 0.451447i | ||||
\(545\) | −7.48812 | − | 32.8076i | −0.320756 | − | 1.40532i | ||||
\(546\) | 10.3437 | − | 2.38893i | 0.442671 | − | 0.102237i | ||||
\(547\) | 3.08921 | + | 0.705092i | 0.132085 | + | 0.0301475i | 0.288052 | − | 0.957615i | \(-0.406992\pi\) |
−0.155967 | + | 0.987762i | \(0.549849\pi\) | |||||||
\(548\) | 6.80972 | + | 27.4406i | 0.290897 | + | 1.17220i | ||||
\(549\) | −7.26227 | + | 23.5437i | −0.309946 | + | 1.00482i | ||||
\(550\) | 9.44226 | − | 0.0889909i | 0.402619 | − | 0.00379459i | ||||
\(551\) | −1.45808 | + | 3.71513i | −0.0621164 | + | 0.158270i | ||||
\(552\) | −33.0153 | − | 39.0803i | −1.40523 | − | 1.66337i | ||||
\(553\) | 26.3665 | + | 0.180610i | 1.12122 | + | 0.00768030i | ||||
\(554\) | 2.22813 | − | 5.83838i | 0.0946641 | − | 0.248049i | ||||
\(555\) | −50.5412 | − | 54.4704i | −2.14535 | − | 2.31214i | ||||
\(556\) | −1.32829 | − | 4.03461i | −0.0563322 | − | 0.171106i | ||||
\(557\) | 39.2613 | + | 22.6675i | 1.66356 | + | 0.960454i | 0.970997 | + | 0.239092i | \(0.0768498\pi\) |
0.692558 | + | 0.721362i | \(0.256484\pi\) | |||||||
\(558\) | 27.9732 | + | 40.2097i | 1.18420 | + | 1.70221i | ||||
\(559\) | 2.33261 | + | 2.92500i | 0.0986590 | + | 0.123714i | ||||
\(560\) | 20.7790 | − | 23.8280i | 0.878071 | − | 1.00692i | ||||
\(561\) | 7.63119 | − | 9.56921i | 0.322189 | − | 0.404012i | ||||
\(562\) | −16.2432 | − | 1.06342i | −0.685178 | − | 0.0448577i | ||||
\(563\) | 17.0286 | + | 24.9764i | 0.717670 | + | 1.05263i | 0.995752 | + | 0.0920717i | \(0.0293489\pi\) |
−0.278082 | + | 0.960557i | \(0.589699\pi\) | |||||||
\(564\) | −12.1225 | − | 12.5809i | −0.510451 | − | 0.529750i | ||||
\(565\) | −2.58495 | + | 17.1501i | −0.108750 | + | 0.721508i | ||||
\(566\) | 28.6588 | + | 19.1461i | 1.20462 | + | 0.804772i | ||||
\(567\) | −7.13326 | + | 17.8155i | −0.299569 | + | 0.748179i | ||||
\(568\) | 2.16211 | + | 1.62640i | 0.0907202 | + | 0.0682422i | ||||
\(569\) | 4.19555 | + | 7.26691i | 0.175887 | + | 0.304645i | 0.940468 | − | 0.339883i | \(-0.110387\pi\) |
−0.764581 | + | 0.644528i | \(0.777054\pi\) | |||||||
\(570\) | −4.42060 | − | 2.07776i | −0.185159 | − | 0.0870277i | ||||
\(571\) | 3.65829 | + | 24.2712i | 0.153095 | + | 1.01572i | 0.924996 | + | 0.379976i | \(0.124068\pi\) |
−0.771902 | + | 0.635742i | \(0.780694\pi\) | |||||||
\(572\) | −2.30495 | + | 3.00480i | −0.0963748 | + | 0.125637i | ||||
\(573\) | 12.0972 | − | 25.1200i | 0.505366 | − | 1.04940i | ||||
\(574\) | 2.09658 | + | 6.73532i | 0.0875095 | + | 0.281127i | ||||
\(575\) | −25.0866 | + | 12.0810i | −1.04618 | + | 0.503815i | ||||
\(576\) | 3.66627 | + | 27.7523i | 0.152761 | + | 1.15634i | ||||
\(577\) | −0.375051 | + | 5.00470i | −0.0156136 | + | 0.208349i | 0.983941 | + | 0.178495i | \(0.0571230\pi\) |
−0.999554 | + | 0.0298531i | \(0.990496\pi\) | |||||||
\(578\) | 12.4863 | + | 2.72637i | 0.519362 | + | 0.113402i | ||||
\(579\) | 16.4476 | − | 1.23258i | 0.683538 | − | 0.0512241i | ||||
\(580\) | 2.94032 | − | 52.4970i | 0.122090 | − | 2.17982i | ||||
\(581\) | 3.47831 | + | 5.17759i | 0.144305 | + | 0.214803i | ||||
\(582\) | 31.2680 | − | 9.96857i | 1.29610 | − | 0.413210i | ||||
\(583\) | 13.0371 | − | 4.02142i | 0.539943 | − | 0.166550i | ||||
\(584\) | 14.4924 | + | 20.0163i | 0.599701 | + | 0.828282i | ||||
\(585\) | 8.52824 | + | 7.91305i | 0.352599 | + | 0.327164i | ||||
\(586\) | 6.07010 | − | 10.7464i | 0.250754 | − | 0.443928i | ||||
\(587\) | − | 28.9817i | − | 1.19620i | −0.801420 | − | 0.598102i | \(-0.795922\pi\) | ||
0.801420 | − | 0.598102i | \(-0.204078\pi\) | |||||||
\(588\) | −10.6955 | − | 34.0506i | −0.441077 | − | 1.40422i | ||||
\(589\) | − | 4.48904i | − | 0.184968i | ||||||
\(590\) | 39.2920 | + | 22.1942i | 1.61763 | + | 0.913720i | ||||
\(591\) | 31.7527 | + | 29.4622i | 1.30613 | + | 1.21191i | ||||
\(592\) | 29.5738 | − | 25.4657i | 1.21548 | − | 1.04663i | ||||
\(593\) | 2.49494 | − | 0.769586i | 0.102455 | − | 0.0316031i | −0.243104 | − | 0.970000i | \(-0.578166\pi\) |
0.345559 | + | 0.938397i | \(0.387689\pi\) | |||||||
\(594\) | 0.930052 | + | 2.91725i | 0.0381605 | + | 0.119696i | ||||
\(595\) | −22.2292 | − | 1.81905i | −0.911309 | − | 0.0745739i | ||||
\(596\) | −19.9011 | − | 1.11465i | −0.815183 | − | 0.0456578i | ||||
\(597\) | −10.7976 | + | 0.809170i | −0.441918 | + | 0.0331171i | ||||
\(598\) | 2.38217 | − | 10.9099i | 0.0974142 | − | 0.446140i | ||||
\(599\) | 0.504370 | − | 6.73036i | 0.0206080 | − | 0.274995i | −0.977375 | − | 0.211514i | \(-0.932161\pi\) |
0.997983 | − | 0.0634811i | \(-0.0202203\pi\) | |||||||
\(600\) | 28.0899 | + | 3.42486i | 1.14676 | + | 0.139819i | ||||
\(601\) | −25.9707 | + | 12.5068i | −1.05937 | + | 0.510164i | −0.880665 | − | 0.473739i | \(-0.842904\pi\) |
−0.178701 | + | 0.983903i | \(0.557190\pi\) | |||||||
\(602\) | 9.19821 | − | 8.57886i | 0.374891 | − | 0.349648i | ||||
\(603\) | −13.4372 | + | 27.9027i | −0.547206 | + | 1.13629i | ||||
\(604\) | 15.5803 | − | 20.3109i | 0.633952 | − | 0.826437i | ||||
\(605\) | −3.60886 | − | 23.9433i | −0.146721 | − | 0.973432i | ||||
\(606\) | −4.00036 | + | 8.51110i | −0.162503 | + | 0.345740i | ||||
\(607\) | 3.63926 | + | 6.30338i | 0.147713 | + | 0.255846i | 0.930382 | − | 0.366592i | \(-0.119475\pi\) |
−0.782669 | + | 0.622438i | \(0.786142\pi\) | |||||||
\(608\) | 1.17665 | − | 2.27971i | 0.0477194 | − | 0.0924543i | ||||
\(609\) | −48.8129 | − | 33.7721i | −1.97800 | − | 1.36852i | ||||
\(610\) | −16.5250 | + | 24.7354i | −0.669079 | + | 1.00151i | ||||
\(611\) | 0.568376 | − | 3.77093i | 0.0229940 | − | 0.152555i | ||||
\(612\) | 14.2208 | − | 13.7027i | 0.574840 | − | 0.553899i | ||||
\(613\) | −26.2621 | − | 38.5194i | −1.06072 | − | 1.55578i | −0.808844 | − | 0.588024i | \(-0.799906\pi\) |
−0.251872 | − | 0.967761i | \(-0.581046\pi\) | |||||||
\(614\) | −0.346448 | + | 5.29182i | −0.0139815 | + | 0.213561i | ||||
\(615\) | −8.95213 | + | 11.2256i | −0.360985 | + | 0.452661i | ||||
\(616\) | 10.6708 | + | 6.94516i | 0.429940 | + | 0.279828i | ||||
\(617\) | −20.2298 | − | 25.3674i | −0.814422 | − | 1.02125i | −0.999259 | − | 0.0384840i | \(-0.987747\pi\) |
0.184837 | − | 0.982769i | \(-0.440824\pi\) | |||||||
\(618\) | −18.6361 | + | 12.9648i | −0.749653 | + | 0.521521i | ||||
\(619\) | −10.0066 | − | 5.77731i | −0.402199 | − | 0.232210i | 0.285233 | − | 0.958458i | \(-0.407929\pi\) |
−0.687432 | + | 0.726248i | \(0.741262\pi\) | |||||||
\(620\) | 18.4940 | + | 56.1744i | 0.742737 | + | 2.25602i | ||||
\(621\) | −6.14115 | − | 6.61858i | −0.246436 | − | 0.265595i | ||||
\(622\) | 31.9447 | + | 12.1912i | 1.28087 | + | 0.488823i | ||||
\(623\) | 36.0520 | + | 17.6670i | 1.44439 | + | 0.707811i | ||||
\(624\) | −8.02256 | + | 8.02735i | −0.321160 | + | 0.321351i | ||||
\(625\) | −10.6756 | + | 27.2010i | −0.427024 | + | 1.08804i | ||||
\(626\) | −0.246096 | − | 26.1117i | −0.00983598 | − | 1.04363i | ||||
\(627\) | 0.579803 | − | 1.87967i | 0.0231551 | − | 0.0750669i | ||||
\(628\) | −11.7758 | + | 2.92232i | −0.469907 | + | 0.116613i | ||||
\(629\) | −26.8418 | − | 6.12647i | −1.07025 | − | 0.244279i | ||||
\(630\) | 24.3077 | − | 30.6424i | 0.968442 | − | 1.22082i | ||||
\(631\) | 8.94465 | + | 39.1891i | 0.356081 | + | 1.56009i | 0.762859 | + | 0.646565i | \(0.223795\pi\) |
−0.406778 | + | 0.913527i | \(0.633348\pi\) | |||||||
\(632\) | −24.0030 | + | 14.7783i | −0.954788 | + | 0.587848i | ||||
\(633\) | −18.1105 | − | 46.1449i | −0.719829 | − | 1.83409i | ||||
\(634\) | 13.4245 | − | 17.1632i | 0.533155 | − | 0.681636i | ||||
\(635\) | −30.5442 | + | 44.8001i | −1.21211 | + | 1.77784i | ||||
\(636\) | 40.3075 | − | 6.85471i | 1.59830 | − | 0.271807i | ||||
\(637\) | 4.47633 | − | 6.37611i | 0.177359 | − | 0.252631i | ||||
\(638\) | 21.0992 | − | 1.78128i | 0.835327 | − | 0.0705217i | ||||
\(639\) | 2.76553 | + | 1.88551i | 0.109403 | + | 0.0745895i | ||||
\(640\) | −5.33224 | + | 33.3751i | −0.210775 | + | 1.31927i | ||||
\(641\) | 4.91803 | + | 12.5309i | 0.194251 | + | 0.494942i | 0.994501 | − | 0.104723i | \(-0.0333956\pi\) |
−0.800251 | + | 0.599665i | \(0.795300\pi\) | |||||||
\(642\) | −4.57788 | + | 1.84666i | −0.180674 | + | 0.0728819i | ||||
\(643\) | −6.09394 | + | 1.39090i | −0.240322 | + | 0.0548518i | −0.340985 | − | 0.940069i | \(-0.610761\pi\) |
0.100664 | + | 0.994921i | \(0.467903\pi\) | |||||||
\(644\) | −37.1883 | − | 5.14967i | −1.46542 | − | 0.202925i | ||||
\(645\) | 24.9596 | + | 5.69686i | 0.982782 | + | 0.224314i | ||||
\(646\) | −1.78700 | + | 0.286595i | −0.0703084 | + | 0.0112759i | ||||
\(647\) | 28.9299 | + | 8.92369i | 1.13735 | + | 0.350827i | 0.805553 | − | 0.592524i | \(-0.201868\pi\) |
0.331799 | + | 0.943350i | \(0.392345\pi\) | |||||||
\(648\) | −3.62994 | − | 20.1918i | −0.142597 | − | 0.793208i | ||||
\(649\) | −6.63940 | + | 16.9169i | −0.260619 | + | 0.664047i | ||||
\(650\) | 3.13868 | + | 5.31992i | 0.123109 | + | 0.208664i | ||||
\(651\) | 64.9867 | + | 15.3019i | 2.54703 | + | 0.599728i | ||||
\(652\) | −13.4100 | + | 46.5733i | −0.525177 | + | 1.82395i | ||||
\(653\) | 28.0391 | + | 30.2190i | 1.09726 | + | 1.18256i | 0.981932 | + | 0.189232i | \(0.0605999\pi\) |
0.115323 | + | 0.993328i | \(0.463210\pi\) | |||||||
\(654\) | 39.5069 | − | 9.40978i | 1.54484 | − | 0.367951i | ||||
\(655\) | −4.89445 | + | 8.47743i | −0.191242 | + | 0.331241i | ||||
\(656\) | −5.71744 | − | 4.91729i | −0.223228 | − | 0.191988i | ||||
\(657\) | 19.0615 | + | 23.9024i | 0.743661 | + | 0.932522i | ||||
\(658\) | −12.7876 | − | 0.925194i | −0.498511 | − | 0.0360678i | ||||
\(659\) | 2.67152 | + | 2.13046i | 0.104067 | + | 0.0829910i | 0.674141 | − | 0.738603i | \(-0.264514\pi\) |
−0.570074 | + | 0.821594i | \(0.693085\pi\) | |||||||
\(660\) | 0.488440 | + | 25.9103i | 0.0190125 | + | 1.00856i | ||||
\(661\) | 3.70330 | + | 5.43175i | 0.144042 | + | 0.211271i | 0.891479 | − | 0.453062i | \(-0.149668\pi\) |
−0.747437 | + | 0.664332i | \(0.768716\pi\) | |||||||
\(662\) | −9.04672 | − | 11.1275i | −0.351611 | − | 0.432481i | ||||
\(663\) | 7.91687 | + | 1.19328i | 0.307466 | + | 0.0463430i | ||||
\(664\) | −6.08718 | − | 2.72220i | −0.236228 | − | 0.105642i | ||||
\(665\) | −3.43241 | + | 1.03306i | −0.133103 | + | 0.0400605i | ||||
\(666\) | 35.0822 | − | 33.1723i | 1.35941 | − | 1.28540i | ||||
\(667\) | −54.0724 | + | 31.2187i | −2.09369 | + | 1.20879i | ||||
\(668\) | 16.1093 | − | 43.4358i | 0.623287 | − | 1.68058i | ||||
\(669\) | 1.60716 | + | 10.6628i | 0.0621365 | + | 0.412249i | ||||
\(670\) | −25.1735 | + | 27.6486i | −0.972536 | + | 1.06816i | ||||
\(671\) | −10.7933 | − | 5.19780i | −0.416672 | − | 0.200659i | ||||
\(672\) | 28.9919 | + | 24.8049i | 1.11839 | + | 0.956871i | ||||
\(673\) | −11.4440 | + | 5.51114i | −0.441134 | + | 0.212439i | −0.641248 | − | 0.767334i | \(-0.721583\pi\) |
0.200114 | + | 0.979773i | \(0.435869\pi\) | |||||||
\(674\) | 2.07965 | − | 6.97478i | 0.0801053 | − | 0.268659i | ||||
\(675\) | 4.98015 | + | 0.373211i | 0.191686 | + | 0.0143649i | ||||
\(676\) | 23.3220 | + | 3.06686i | 0.896999 | + | 0.117956i | ||||
\(677\) | 42.1104 | − | 3.15574i | 1.61843 | − | 0.121285i | 0.765546 | − | 0.643381i | \(-0.222469\pi\) |
0.852887 | + | 0.522096i | \(0.174850\pi\) | |||||||
\(678\) | −20.7260 | − | 2.92445i | −0.795978 | − | 0.112313i | ||||
\(679\) | 12.1845 | − | 20.7742i | 0.467597 | − | 0.797240i | ||||
\(680\) | 21.1812 | − | 10.9485i | 0.812261 | − | 0.419854i | ||||
\(681\) | −68.0481 | + | 20.9901i | −2.60761 | + | 0.804341i | ||||
\(682\) | −21.3596 | + | 10.5354i | −0.817903 | + | 0.403421i | ||||
\(683\) | 6.68451 | − | 7.20419i | 0.255776 | − | 0.275661i | −0.592090 | − | 0.805872i | \(-0.701697\pi\) |
0.847866 | + | 0.530211i | \(0.177887\pi\) | |||||||
\(684\) | 1.32294 | − | 2.88498i | 0.0505837 | − | 0.110310i | ||||
\(685\) | 42.2310i | 1.61356i | ||||||||
\(686\) | −22.5355 | − | 13.3473i | −0.860409 | − | 0.509603i | ||||
\(687\) | −39.0848 | −1.49118 | ||||||||
\(688\) | −3.47630 | + | 12.9892i | −0.132533 | + | 0.495209i | ||||
\(689\) | 6.54217 | + | 6.07024i | 0.249237 | + | 0.231258i | ||||
\(690\) | −33.8032 | − | 68.5332i | −1.28687 | − | 2.60902i | ||||
\(691\) | −7.87113 | − | 25.5176i | −0.299432 | − | 0.970734i | −0.972843 | − | 0.231466i | \(-0.925648\pi\) |
0.673411 | − | 0.739268i | \(-0.264828\pi\) | |||||||
\(692\) | −18.8826 | + | 7.82474i | −0.717810 | + | 0.297452i | ||||
\(693\) | 13.5867 | + | 7.96887i | 0.516116 | + | 0.302712i | ||||
\(694\) | −33.3608 | − | 4.70723i | −1.26636 | − | 0.178684i | ||||
\(695\) | −0.474138 | − | 6.32693i | −0.0179851 | − | 0.239994i | ||||
\(696\) | 63.3866 | + | 2.95128i | 2.40266 | + | 0.111868i | ||||
\(697\) | −0.397563 | + | 5.30511i | −0.0150588 | + | 0.200946i | ||||
\(698\) | 23.9906 | + | 7.15321i | 0.908056 | + | 0.270753i | ||||
\(699\) | −18.6098 | − | 38.6437i | −0.703889 | − | 1.46164i | ||||
\(700\) | 17.0163 | − | 11.9031i | 0.643156 | − | 0.449895i | ||||
\(701\) | 14.4361 | − | 29.9769i | 0.545244 | − | 1.13221i | −0.428284 | − | 0.903644i | \(-0.640882\pi\) |
0.973528 | − | 0.228567i | \(-0.0734039\pi\) | |||||||
\(702\) | −1.34843 | + | 1.48101i | −0.0508932 | + | 0.0558973i | ||||
\(703\) | −4.37540 | + | 0.659485i | −0.165021 | + | 0.0248730i | ||||
\(704\) | −13.6087 | − | 0.248428i | −0.512899 | − | 0.00936297i | ||||
\(705\) | −13.0481 | − | 22.6000i | −0.491420 | − | 0.851165i | ||||
\(706\) | 7.72069 | + | 8.16523i | 0.290572 | + | 0.307302i | ||||
\(707\) | 1.98898 | + | 6.60851i | 0.0748035 | + | 0.248539i | ||||
\(708\) | −26.3369 | + | 47.6699i | −0.989803 | + | 1.79154i | ||||
\(709\) | −5.79027 | + | 38.4159i | −0.217458 | + | 1.44274i | 0.567593 | + | 0.823309i | \(0.307875\pi\) |
−0.785051 | + | 0.619431i | \(0.787364\pi\) | |||||||
\(710\) | 2.54933 | + | 3.13567i | 0.0956747 | + | 0.117680i | ||||
\(711\) | −28.8127 | + | 19.6442i | −1.08056 | + | 0.736714i | ||||
\(712\) | −42.6923 | + | 4.41608i | −1.59996 | + | 0.165500i | ||||
\(713\) | 43.7869 | − | 54.9071i | 1.63983 | − | 2.05629i | ||||
\(714\) | 1.94240 | − | 26.8468i | 0.0726924 | − | 1.00472i | ||||
\(715\) | −4.42255 | + | 3.52687i | −0.165394 | + | 0.131897i | ||||
\(716\) | 28.8949 | − | 23.9476i | 1.07985 | − | 0.894964i | ||||
\(717\) | 30.3390 | + | 17.5162i | 1.13303 | + | 0.654155i | ||||
\(718\) | −9.88012 | + | 2.35325i | −0.368723 | + | 0.0878226i | ||||
\(719\) | 27.5368 | − | 25.5504i | 1.02695 | − | 0.952869i | 0.0280416 | − | 0.999607i | \(-0.491073\pi\) |
0.998907 | + | 0.0467375i | \(0.0148824\pi\) | |||||||
\(720\) | −4.66924 | + | 41.5519i | −0.174012 | + | 1.54855i | ||||
\(721\) | −3.81835 | + | 16.2164i | −0.142203 | + | 0.603932i | ||||
\(722\) | 22.8920 | − | 13.5059i | 0.851952 | − | 0.502639i | ||||
\(723\) | 14.5512 | + | 5.71091i | 0.541164 | + | 0.212391i | ||||
\(724\) | 36.7298 | − | 3.44979i | 1.36505 | − | 0.128210i | ||||
\(725\) | 10.1797 | − | 33.0018i | 0.378065 | − | 1.22566i | ||||
\(726\) | 28.8536 | − | 4.62749i | 1.07086 | − | 0.171742i | ||||
\(727\) | −3.67808 | + | 16.1147i | −0.136412 | + | 0.597662i | 0.859794 | + | 0.510641i | \(0.170592\pi\) |
−0.996206 | + | 0.0870208i | \(0.972265\pi\) | |||||||
\(728\) | −0.444329 | + | 8.31656i | −0.0164679 | + | 0.308232i | ||||
\(729\) | −7.81342 | − | 34.2328i | −0.289386 | − | 1.26788i | ||||
\(730\) | 13.8087 | + | 34.2319i | 0.511085 | + | 1.26698i | ||||
\(731\) | 8.83017 | − | 3.46559i | 0.326596 | − | 0.128179i | ||||
\(732\) | −30.0386 | − | 19.6610i | −1.11026 | − | 0.726691i | ||||
\(733\) | −17.3068 | + | 25.3845i | −0.639242 | + | 0.937596i | 0.360745 | + | 0.932664i | \(0.382522\pi\) |
−0.999988 | + | 0.00493206i | \(0.998430\pi\) | |||||||
\(734\) | −29.7748 | + | 2.51371i | −1.09901 | + | 0.0927828i | ||||
\(735\) | −3.25529 | − | 53.2117i | −0.120073 | − | 1.96274i | ||||
\(736\) | 36.6287 | − | 16.4067i | 1.35015 | − | 0.604758i | ||||
\(737\) | −12.4416 | − | 8.48255i | −0.458293 | − | 0.312459i | ||||
\(738\) | −7.34858 | − | 5.74784i | −0.270505 | − | 0.211581i | ||||
\(739\) | −34.6686 | + | 13.6064i | −1.27531 | + | 0.500521i | −0.903818 | − | 0.427917i | \(-0.859248\pi\) |
−0.371488 | + | 0.928438i | \(0.621152\pi\) | |||||||
\(740\) | 52.0354 | − | 26.2784i | 1.91286 | − | 0.966014i | ||||
\(741\) | 1.25447 | − | 0.286324i | 0.0460840 | − | 0.0105184i | ||||
\(742\) | 18.6469 | − | 23.5063i | 0.684548 | − | 0.862944i | ||||
\(743\) | −4.48591 | + | 19.6541i | −0.164572 | + | 0.721038i | 0.823534 | + | 0.567266i | \(0.191999\pi\) |
−0.988106 | + | 0.153771i | \(0.950858\pi\) | |||||||
\(744\) | −67.5807 | + | 22.9574i | −2.47763 | + | 0.841659i | ||||
\(745\) | −28.4500 | − | 8.77567i | −1.04233 | − | 0.321516i | ||||
\(746\) | −20.7482 | + | 0.195547i | −0.759647 | + | 0.00715949i | ||||
\(747\) | −7.67920 | − | 3.01386i | −0.280967 | − | 0.110271i | ||||
\(748\) | 5.55760 | + | 7.83023i | 0.203206 | + | 0.286301i | ||||
\(749\) | −1.59406 | + | 3.25291i | −0.0582456 | + | 0.118859i | ||||
\(750\) | −10.8227 | − | 4.13033i | −0.395190 | − | 0.150818i | ||||
\(751\) | 21.9514 | − | 20.3679i | 0.801018 | − | 0.743236i | −0.169171 | − | 0.985587i | \(-0.554109\pi\) |
0.970189 | + | 0.242351i | \(0.0779186\pi\) | |||||||
\(752\) | 12.1160 | − | 6.40810i | 0.441824 | − | 0.233679i | ||||
\(753\) | −13.4168 | + | 23.2387i | −0.488937 | + | 0.846864i | ||||
\(754\) | 7.90999 | + | 11.3701i | 0.288065 | + | 0.414075i | ||||
\(755\) | 29.8941 | − | 23.8398i | 1.08796 | − | 0.867618i | ||||
\(756\) | 5.31467 | + | 4.13496i | 0.193293 | + | 0.150387i | ||||
\(757\) | 33.0262 | + | 26.3375i | 1.20036 | + | 0.957253i | 0.999749 | − | 0.0224180i | \(-0.00713647\pi\) |
0.200609 | + | 0.979671i | \(0.435708\pi\) | |||||||
\(758\) | 2.42559 | − | 37.0496i | 0.0881014 | − | 1.34570i | ||||
\(759\) | 25.4265 | − | 17.3355i | 0.922923 | − | 0.629238i | ||||
\(760\) | 2.52597 | − | 2.88161i | 0.0916265 | − | 0.104527i | ||||
\(761\) | 10.5215 | + | 1.58586i | 0.381403 | + | 0.0574873i | 0.336946 | − | 0.941524i | \(-0.390606\pi\) |
0.0444573 | + | 0.999011i | \(0.485844\pi\) | |||||||
\(762\) | −54.4120 | − | 36.3511i | −1.97114 | − | 1.31686i | ||||
\(763\) | 16.9569 | − | 24.5088i | 0.613881 | − | 0.887279i | ||||
\(764\) | 16.3117 | + | 14.5727i | 0.590137 | + | 0.527220i | ||||
\(765\) | 25.5459 | − | 14.7489i | 0.923612 | − | 0.533248i | ||||
\(766\) | 5.66129 | − | 12.0449i | 0.204551 | − | 0.435199i | ||||
\(767\) | −11.7550 | + | 1.77177i | −0.424447 | + | 0.0639751i | ||||
\(768\) | −40.3376 | − | 6.05533i | −1.45556 | − | 0.218503i | ||||
\(769\) | 31.8710 | + | 15.3483i | 1.14930 | + | 0.553473i | 0.908823 | − | 0.417183i | \(-0.136983\pi\) |
0.240475 | + | 0.970655i | \(0.422697\pi\) | |||||||
\(770\) | 12.9711 | + | 13.9075i | 0.467446 | + | 0.501192i | ||||
\(771\) | −9.36278 | − | 19.4420i | −0.337192 | − | 0.700187i | ||||
\(772\) | −2.64104 | + | 12.6671i | −0.0950531 | + | 0.455901i | ||||
\(773\) | −26.5411 | − | 1.98898i | −0.954617 | − | 0.0715386i | −0.411695 | − | 0.911322i | \(-0.635063\pi\) |
−0.542922 | + | 0.839783i | \(0.682682\pi\) | |||||||
\(774\) | −3.54864 | + | 16.2522i | −0.127553 | + | 0.584172i | ||||
\(775\) | 2.90295 | + | 38.7371i | 0.104277 | + | 1.39148i | ||||
\(776\) | 0.727849 | + | 25.7364i | 0.0261283 | + | 0.923881i | ||||
\(777\) | 5.36730 | − | 65.5896i | 0.192551 | − | 2.35301i | ||||
\(778\) | 16.4482 | − | 5.24385i | 0.589695 | − | 0.188001i | ||||
\(779\) | 0.252016 | + | 0.817016i | 0.00902941 | + | 0.0292726i | ||||
\(780\) | −14.5184 | + | 8.75115i | −0.519843 | + | 0.313341i | ||||
\(781\) | −1.10695 | + | 1.19301i | −0.0396097 | + | 0.0426891i | ||||
\(782\) | −24.6529 | − | 13.9252i | −0.881586 | − | 0.497966i | ||||
\(783\) | 11.1988 | 0.400214 | ||||||||
\(784\) | 27.9919 | − | 0.671884i | 0.999712 | − | 0.0239959i | ||||
\(785\) | −18.1230 | −0.646838 | ||||||||
\(786\) | −10.2862 | − | 5.81018i | −0.366896 | − | 0.207242i | ||||
\(787\) | 18.0461 | − | 19.4491i | 0.643274 | − | 0.693285i | −0.324276 | − | 0.945962i | \(-0.605121\pi\) |
0.967550 | + | 0.252678i | \(0.0813113\pi\) | |||||||
\(788\) | −29.1036 | + | 17.5426i | −1.03677 | + | 0.624928i | ||||
\(789\) | −7.37188 | − | 23.8990i | −0.262446 | − | 0.850828i | ||||
\(790\) | −40.1143 | + | 12.7889i | −1.42720 | + | 0.455007i | ||||
\(791\) | −12.7503 | + | 8.56566i | −0.453348 | + | 0.304560i | ||||
\(792\) | −16.8320 | + | 0.476026i | −0.598101 | + | 0.0169149i | ||||
\(793\) | −0.585612 | − | 7.81445i | −0.0207957 | − | 0.277499i | ||||
\(794\) | 3.59264 | − | 16.4537i | 0.127498 | − | 0.583919i | ||||
\(795\) | 60.9007 | + | 4.56387i | 2.15992 | + | 0.161864i | ||||
\(796\) | 1.73381 | − | 8.31583i | 0.0614533 | − | 0.294747i | ||||
\(797\) | 19.4781 | + | 40.4467i | 0.689950 | + | 1.43270i | 0.891409 | + | 0.453199i | \(0.149717\pi\) |
−0.201459 | + | 0.979497i | \(0.564568\pi\) | |||||||
\(798\) | −1.28574 | − | 4.13047i | −0.0455146 | − | 0.146217i | ||||
\(799\) | −8.71166 | − | 4.19532i | −0.308197 | − | 0.148420i | ||||
\(800\) | −8.67939 | + | 20.4331i | −0.306863 | + | 0.722420i | ||||
\(801\) | −52.5053 | + | 7.91389i | −1.85518 | + | 0.279624i | ||||
\(802\) | 4.00974 | − | 8.53107i | 0.141589 | − | 0.301242i | ||||
\(803\) | −12.8734 | + | 7.43248i | −0.454293 | + | 0.262286i | ||||
\(804\) | −33.6526 | − | 30.0648i | −1.18683 | − | 1.06030i | ||||
\(805\) | −52.0598 | − | 20.8446i | −1.83487 | − | 0.734677i | ||||
\(806\) | −12.9543 | − | 8.65442i | −0.456297 | − | 0.304839i | ||||
\(807\) | −66.5546 | − | 10.0315i | −2.34283 | − | 0.353125i | ||||
\(808\) | −5.54804 | − | 4.86331i | −0.195179 | − | 0.171091i | ||||
\(809\) | −7.22359 | + | 4.92496i | −0.253968 | + | 0.173152i | −0.683611 | − | 0.729846i | \(-0.739592\pi\) |
0.429643 | + | 0.902999i | \(0.358639\pi\) | |||||||
\(810\) | 2.00192 | − | 30.5783i | 0.0703403 | − | 1.07441i | ||||
\(811\) | −31.1595 | − | 24.8488i | −1.09416 | − | 0.872561i | −0.101658 | − | 0.994819i | \(-0.532415\pi\) |
−0.992498 | + | 0.122259i | \(0.960986\pi\) | |||||||
\(812\) | 36.0561 | − | 29.4684i | 1.26532 | − | 1.03414i | ||||
\(813\) | 10.2304 | − | 8.15844i | 0.358794 | − | 0.286129i | ||||
\(814\) | 13.4066 | + | 19.2712i | 0.469902 | + | 0.675454i | ||||
\(815\) | −36.1962 | + | 62.6937i | −1.26790 | + | 2.19607i | ||||
\(816\) | 13.4535 | + | 25.4368i | 0.470965 | + | 0.890467i | ||||
\(817\) | 1.11755 | − | 1.03694i | 0.0390983 | − | 0.0362779i | ||||
\(818\) | −11.3081 | − | 4.31558i | −0.395380 | − | 0.150891i | ||||
\(819\) | −0.0705767 | + | 10.3032i | −0.00246615 | + | 0.360023i | ||||
\(820\) | −6.51960 | − | 9.18562i | −0.227674 | − | 0.320776i | ||||
\(821\) | −22.2867 | − | 8.74688i | −0.777811 | − | 0.305268i | −0.0569762 | − | 0.998376i | \(-0.518146\pi\) |
−0.720834 | + | 0.693107i | \(0.756241\pi\) | |||||||
\(822\) | −50.9642 | + | 0.480325i | −1.77758 | + | 0.0167533i | ||||
\(823\) | −0.467640 | − | 0.144248i | −0.0163009 | − | 0.00502817i | 0.286594 | − | 0.958052i | \(-0.407477\pi\) |
−0.302895 | + | 0.953024i | \(0.597953\pi\) | |||||||
\(824\) | −5.72867 | − | 16.8637i | −0.199568 | − | 0.587476i | ||||
\(825\) | −3.78774 | + | 16.5952i | −0.131872 | + | 0.577769i | ||||
\(826\) | 8.99364 | + | 38.9413i | 0.312929 | + | 1.35494i | ||||
\(827\) | 18.5054 | − | 4.22373i | 0.643494 | − | 0.146873i | 0.111693 | − | 0.993743i | \(-0.464373\pi\) |
0.531801 | + | 0.846869i | \(0.321515\pi\) | |||||||
\(828\) | 44.3219 | − | 22.3830i | 1.54029 | − | 0.777864i | ||||
\(829\) | −20.8028 | + | 8.16451i | −0.722512 | + | 0.283565i | −0.697963 | − | 0.716134i | \(-0.745910\pi\) |
−0.0245488 | + | 0.999699i | \(0.507815\pi\) | |||||||
\(830\) | −7.84534 | − | 6.13639i | −0.272316 | − | 0.212997i | ||||
\(831\) | 9.30759 | + | 6.34581i | 0.322877 | + | 0.220134i | ||||
\(832\) | −4.31025 | − | 7.79059i | −0.149431 | − | 0.270090i | ||||
\(833\) | −12.1030 | − | 15.6107i | −0.419345 | − | 0.540880i | ||||
\(834\) | 7.62992 | − | 0.644148i | 0.264202 | − | 0.0223050i | ||||
\(835\) | 38.9807 | − | 57.1741i | 1.34898 | − | 1.97859i | ||||
\(836\) | 1.29120 | + | 0.845124i | 0.0446572 | + | 0.0292292i | ||||
\(837\) | −11.7256 | + | 4.60194i | −0.405295 | + | 0.159066i | ||||
\(838\) | −15.3419 | − | 38.0326i | −0.529977 | − | 1.31381i | ||||
\(839\) | −0.776633 | − | 3.40265i | −0.0268123 | − | 0.117473i | 0.959751 | − | 0.280853i | \(-0.0906173\pi\) |
−0.986563 | + | 0.163380i | \(0.947760\pi\) | |||||||
\(840\) | 33.1061 | + | 46.3905i | 1.14227 | + | 1.60062i | ||||
\(841\) | 10.7798 | − | 47.2294i | 0.371717 | − | 1.62860i | ||||
\(842\) | 14.4270 | − | 2.31379i | 0.497189 | − | 0.0797383i | ||||
\(843\) | 8.64920 | − | 28.0400i | 0.297894 | − | 0.965750i | ||||
\(844\) | 38.7192 | − | 3.63664i | 1.33277 | − | 0.125178i | ||||
\(845\) | 32.7070 | + | 12.8365i | 1.12515 | + | 0.441590i | ||||
\(846\) | 14.6043 | − | 8.61630i | 0.502105 | − | 0.296235i | ||||
\(847\) | 13.4851 | − | 16.6741i | 0.463352 | − | 0.572930i | ||||
\(848\) | −3.58186 | + | 31.8752i | −0.123001 | + | 1.09460i | ||||
\(849\) | −45.5448 | + | 42.2594i | −1.56310 | + | 1.45034i | ||||
\(850\) | 15.2351 | − | 3.62871i | 0.522561 | − | 0.124464i | ||||
\(851\) | −59.9499 | − | 34.6121i | −2.05505 | − | 1.18649i | ||||
\(852\) | −3.75512 | + | 3.11219i | −0.128648 | + | 0.106622i | ||||
\(853\) | 16.1767 | − | 12.9005i | 0.553881 | − | 0.441706i | −0.306123 | − | 0.951992i | \(-0.599032\pi\) |
0.860005 | + | 0.510286i | \(0.170461\pi\) | |||||||
\(854\) | −26.0412 | + | 3.99368i | −0.891113 | + | 0.136661i | ||||
\(855\) | 2.95580 | − | 3.70646i | 0.101086 | − | 0.126758i | ||||
\(856\) | −0.398455 | − | 3.85205i | −0.0136189 | − | 0.131660i | ||||
\(857\) | 17.7054 | − | 12.0713i | 0.604804 | − | 0.412348i | −0.221833 | − | 0.975085i | \(-0.571204\pi\) |
0.826636 | + | 0.562737i | \(0.190251\pi\) | |||||||
\(858\) | −4.30651 | − | 5.29700i | −0.147022 | − | 0.180837i | ||||
\(859\) | −7.36698 | + | 48.8767i | −0.251358 | + | 1.66765i | 0.405847 | + | 0.913941i | \(0.366976\pi\) |
−0.657205 | + | 0.753711i | \(0.728262\pi\) | |||||||
\(860\) | −9.71273 | + | 17.5801i | −0.331201 | + | 0.599475i | ||||
\(861\) | −12.6868 | + | 0.863396i | −0.432365 | + | 0.0294245i | ||||
\(862\) | −0.436312 | − | 0.461433i | −0.0148608 | − | 0.0157165i | ||||
\(863\) | 6.01086 | + | 10.4111i | 0.204612 | + | 0.354398i | 0.950009 | − | 0.312222i | \(-0.101073\pi\) |
−0.745397 | + | 0.666621i | \(0.767740\pi\) | |||||||
\(864\) | −7.16093 | − | 0.736412i | −0.243620 | − | 0.0250533i | ||||
\(865\) | −30.1896 | + | 4.55034i | −1.02648 | + | 0.154716i | ||||
\(866\) | 18.0114 | − | 19.7823i | 0.612051 | − | 0.672231i | ||||
\(867\) | −9.99620 | + | 20.7573i | −0.339489 | + | 0.704956i | ||||
\(868\) | −25.6425 | + | 45.6710i | −0.870362 | + | 1.55017i | ||||
\(869\) | −7.35676 | − | 15.2765i | −0.249561 | − | 0.518219i | ||||
\(870\) | 90.8310 | + | 27.0829i | 3.07946 | + | 0.918195i | ||||
\(871\) | 0.736097 | − | 9.82253i | 0.0249417 | − | 0.332824i | ||||
\(872\) | −1.48183 | + | 31.8263i | −0.0501811 | + | 1.07777i | ||||
\(873\) | 2.38033 | + | 31.7632i | 0.0805618 | + | 1.07502i | ||||
\(874\) | −4.50583 | − | 0.635776i | −0.152412 | − | 0.0215054i | ||||
\(875\) | −7.93439 | + | 3.05146i | −0.268231 | + | 0.103158i | ||||
\(876\) | −41.1539 | + | 17.0537i | −1.39046 | + | 0.576190i | ||||
\(877\) | −3.38610 | − | 10.9775i | −0.114340 | − | 0.370683i | 0.880256 | − | 0.474499i | \(-0.157371\pi\) |
−0.994596 | + | 0.103816i | \(0.966895\pi\) | |||||||
\(878\) | −0.960672 | − | 1.94768i | −0.0324211 | − | 0.0657312i | ||||
\(879\) | 16.3095 | + | 15.1330i | 0.550107 | + | 0.510425i | ||||
\(880\) | −19.6395 | − | 5.25611i | −0.662046 | − | 0.177183i | ||||
\(881\) | −24.7737 | −0.834646 | −0.417323 | − | 0.908758i | \(-0.637032\pi\) | ||||
−0.417323 | + | 0.908758i | \(0.637032\pi\) | |||||||
\(882\) | 34.5539 | − | 2.44095i | 1.16349 | − | 0.0821910i | ||||
\(883\) | 0.128370i | 0.00432000i | 0.999998 | + | 0.00216000i | \(0.000687549\pi\) | ||||
−0.999998 | + | 0.00216000i | \(0.999312\pi\) | |||||||
\(884\) | −2.61810 | + | 5.70939i | −0.0880563 | + | 0.192028i | ||||
\(885\) | −55.3311 | + | 59.6328i | −1.85994 | + | 2.00453i | ||||
\(886\) | −5.50901 | + | 2.71725i | −0.185079 | + | 0.0912879i | ||||
\(887\) | −20.8644 | + | 6.43583i | −0.700560 | + | 0.216094i | −0.624518 | − | 0.781011i | \(-0.714704\pi\) |
−0.0760419 | + | 0.997105i | \(0.524228\pi\) | |||||||
\(888\) | 32.3045 | + | 62.4972i | 1.08407 | + | 2.09727i | ||||
\(889\) | −47.5326 | + | 6.83173i | −1.59419 | + | 0.229129i | ||||
\(890\) | −63.4805 | − | 8.95714i | −2.12787 | − | 0.300244i | ||||
\(891\) | 12.3061 | − | 0.922215i | 0.412270 | − | 0.0308954i | ||||
\(892\) | −8.38743 | − | 1.10295i | −0.280832 | − | 0.0369296i | ||||
\(893\) | −1.54964 | − | 0.116130i | −0.0518568 | − | 0.00388613i | ||||
\(894\) | 10.2669 | − | 34.4332i | 0.343375 | − | 1.15162i | ||||
\(895\) | 50.5050 | − | 24.3219i | 1.68820 | − | 0.812992i | ||||
\(896\) | −24.9933 | + | 16.4722i | −0.834969 | + | 0.550297i | ||||
\(897\) | 18.1367 | + | 8.73419i | 0.605568 | + | 0.291626i | ||||
\(898\) | 2.98885 | − | 3.28272i | 0.0997391 | − | 0.109546i | ||||
\(899\) | 12.9828 | + | 86.1350i | 0.432999 | + | 2.87276i | ||||
\(900\) | −9.55034 | + | 25.7508i | −0.318345 | + | 0.858359i | ||||
\(901\) | 19.5967 | − | 11.3141i | 0.652860 | − | 0.376929i | ||||
\(902\) | 3.29605 | − | 3.11660i | 0.109746 | − | 0.103772i | ||||
\(903\) | 11.2021 | + | 19.7132i | 0.372782 | + | 0.656014i | ||||
\(904\) | 6.70368 | − | 14.9902i | 0.222961 | − | 0.498568i | ||||
\(905\) | 54.4890 | + | 8.21289i | 1.81127 | + | 0.273006i | ||||
\(906\) | 29.1098 | + | 35.8050i | 0.967107 | + | 1.18954i | ||||
\(907\) | 1.33488 | + | 1.95790i | 0.0443238 | + | 0.0650111i | 0.847761 | − | 0.530378i | \(-0.177950\pi\) |
−0.803437 | + | 0.595389i | \(0.796998\pi\) | |||||||
\(908\) | −1.05297 | − | 55.8568i | −0.0349439 | − | 1.85367i | ||||
\(909\) | −7.13613 | − | 5.69087i | −0.236690 | − | 0.188754i | ||||
\(910\) | −3.63616 | + | 11.8968i | −0.120538 | + | 0.394376i | ||||
\(911\) | 10.7552 | + | 13.4866i | 0.356336 | + | 0.446832i | 0.927398 | − | 0.374075i | \(-0.122040\pi\) |
−0.571062 | + | 0.820907i | \(0.693468\pi\) | |||||||
\(912\) | 3.50625 | + | 3.01555i | 0.116104 | + | 0.0998550i | ||||
\(913\) | 2.00553 | − | 3.47369i | 0.0663735 | − | 0.114962i | ||||
\(914\) | 20.2057 | − | 4.81261i | 0.668346 | − | 0.159187i | ||||
\(915\) | −36.4741 | − | 39.3098i | −1.20580 | − | 1.29954i | ||||
\(916\) | 8.48411 | − | 29.4655i | 0.280323 | − | 0.973567i | ||||
\(917\) | −8.46511 | + | 1.87119i | −0.279542 | + | 0.0617923i | ||||
\(918\) | 2.58054 | + | 4.37390i | 0.0851705 | + | 0.144360i | ||||
\(919\) | −5.36391 | + | 13.6670i | −0.176939 | + | 0.450833i | −0.991638 | − | 0.129051i | \(-0.958807\pi\) |
0.814699 | + | 0.579884i | \(0.196902\pi\) | |||||||
\(920\) | 59.0039 | − | 10.6073i | 1.94530 | − | 0.349712i | ||||
\(921\) | −9.13507 | − | 2.81779i | −0.301011 | − | 0.0928495i | ||||
\(922\) | 15.7917 | − | 2.53265i | 0.520073 | − | 0.0834085i | ||||
\(923\) | −1.03788 | − | 0.236890i | −0.0341624 | − | 0.00779734i | ||||
\(924\) | −16.6360 | + | 15.8116i | −0.547284 | + | 0.520165i | ||||
\(925\) | 37.3300 | − | 8.52034i | 1.22740 | − | 0.280147i | ||||
\(926\) | −35.0190 | + | 14.1262i | −1.15080 | + | 0.464217i | ||||
\(927\) | −8.04984 | − | 20.5107i | −0.264392 | − | 0.673659i | ||||
\(928\) | −15.9842 | + | 47.1457i | −0.524707 | + | 1.54763i | ||||
\(929\) | 8.17387 | + | 5.57285i | 0.268176 | + | 0.182839i | 0.689940 | − | 0.723866i | \(-0.257637\pi\) |
−0.421764 | + | 0.906705i | \(0.638589\pi\) | |||||||
\(930\) | −106.232 | + | 8.96856i | −3.48349 | + | 0.294091i | ||||
\(931\) | −2.72727 | − | 1.62481i | −0.0893827 | − | 0.0532510i | ||||
\(932\) | 33.1726 | − | 5.64133i | 1.08660 | − | 0.184788i | ||||
\(933\) | −34.7211 | + | 50.9265i | −1.13672 | + | 1.66726i | ||||
\(934\) | 9.86003 | − | 12.6060i | 0.322630 | − | 0.412481i | ||||
\(935\) | 5.23990 | + | 13.3511i | 0.171363 | + | 0.436626i | ||||
\(936\) | −5.77490 | − | 9.37964i | −0.188758 | − | 0.306583i | ||||
\(937\) | 7.53217 | + | 33.0006i | 0.246065 | + | 1.07808i | 0.935387 | + | 0.353626i | \(0.115052\pi\) |
−0.689322 | + | 0.724456i | \(0.742091\pi\) | |||||||
\(938\) | −33.1157 | + | 0.0852601i | −1.08126 | + | 0.00278384i | ||||
\(939\) | 45.8924 | + | 10.4746i | 1.49764 | + | 0.341827i | ||||
\(940\) | 19.8702 | − | 4.93103i | 0.648093 | − | 0.160832i | ||||
\(941\) | 1.43471 | − | 4.65122i | 0.0467703 | − | 0.151625i | −0.929176 | − | 0.369639i | \(-0.879481\pi\) |
0.975946 | + | 0.218013i | \(0.0699576\pi\) | |||||||
\(942\) | −0.206127 | − | 21.8708i | −0.00671597 | − | 0.712588i | ||||
\(943\) | −4.88683 | + | 12.4514i | −0.159137 | + | 0.405474i | ||||
\(944\) | −30.2207 | − | 30.2027i | −0.983601 | − | 0.983015i | ||||
\(945\) | 6.21715 | + | 7.90656i | 0.202244 | + | 0.257201i | ||||
\(946\) | −7.55674 | − | 2.88392i | −0.245691 | − | 0.0937642i | ||||
\(947\) | −11.8807 | − | 12.8044i | −0.386072 | − | 0.416087i | 0.509874 | − | 0.860249i | \(-0.329692\pi\) |
−0.895946 | + | 0.444162i | \(0.853501\pi\) | |||||||
\(948\) | −15.8898 | − | 48.2643i | −0.516077 | − | 1.56755i | ||||
\(949\) | −8.42098 | − | 4.86185i | −0.273357 | − | 0.157822i | ||||
\(950\) | 2.06619 | − | 1.43742i | 0.0670362 | − | 0.0466360i | ||||
\(951\) | 24.4903 | + | 30.7099i | 0.794154 | + | 0.995837i | ||||
\(952\) | 19.8178 | + | 7.29196i | 0.642299 | + | 0.236334i | ||||
\(953\) | −20.0429 | + | 25.1330i | −0.649254 | + | 0.814139i | −0.992126 | − | 0.125243i | \(-0.960029\pi\) |
0.342872 | + | 0.939382i | \(0.388600\pi\) | |||||||
\(954\) | −2.59241 | + | 39.5977i | −0.0839323 | + | 1.28202i | ||||
\(955\) | 18.4046 | + | 26.9947i | 0.595560 | + | 0.873526i | ||||
\(956\) | −19.7909 | + | 19.0699i | −0.640083 | + | 0.616765i | ||||
\(957\) | −5.68896 | + | 37.7438i | −0.183898 | + | 1.22008i | ||||
\(958\) | −11.7312 | + | 17.5598i | −0.379018 | + | 0.567331i | ||||
\(959\) | −27.5909 | + | 25.2511i | −0.890956 | + | 0.815401i | ||||
\(960\) | −56.2996 | − | 23.2906i | −1.81706 | − | 0.751701i | ||||
\(961\) | −33.4889 | − | 58.0044i | −1.08029 | − | 1.87111i | ||||
\(962\) | −6.53221 | + | 13.8978i | −0.210607 | + | 0.448084i | ||||
\(963\) | −0.714057 | − | 4.73746i | −0.0230102 | − | 0.152662i | ||||
\(964\) | −7.46398 | + | 9.73025i | −0.240399 | + | 0.313390i | ||||
\(965\) | −8.38597 | + | 17.4136i | −0.269954 | + | 0.560565i | ||||
\(966\) | 24.5631 | − | 63.0627i | 0.790305 | − | 2.02901i | ||||
\(967\) | 18.7057 | − | 9.00818i | 0.601534 | − | 0.289683i | −0.108227 | − | 0.994126i | \(-0.534517\pi\) |
0.709761 | + | 0.704443i | \(0.248803\pi\) | |||||||
\(968\) | −2.77462 | + | 22.7568i | −0.0891797 | + | 0.731431i | ||||
\(969\) | 0.243808 | − | 3.25339i | 0.00783224 | − | 0.104514i | ||||
\(970\) | −8.20388 | + | 37.5723i | −0.263411 | + | 1.20637i | ||||
\(971\) | −32.3348 | + | 2.42316i | −1.03767 | + | 0.0777629i | −0.582656 | − | 0.812719i | \(-0.697986\pi\) |
−0.455018 | + | 0.890482i | \(0.650367\pi\) | |||||||
\(972\) | 44.5480 | + | 2.49510i | 1.42888 | + | 0.0800305i | ||||
\(973\) | 3.85009 | − | 4.09282i | 0.123428 | − | 0.131210i | ||||
\(974\) | 15.9354 | + | 49.9839i | 0.510604 | + | 1.60159i | ||||
\(975\) | −10.6400 | + | 3.28200i | −0.340752 | + | 0.105108i | ||||
\(976\) | 21.3426 | − | 18.3779i | 0.683160 | − | 0.588261i | ||||
\(977\) | −3.67636 | − | 3.41117i | −0.117617 | − | 0.109133i | 0.619172 | − | 0.785256i | \(-0.287468\pi\) |
−0.736789 | + | 0.676123i | \(0.763659\pi\) | |||||||
\(978\) | −76.0702 | − | 42.9684i | −2.43246 | − | 1.37398i | ||||
\(979\) | − | 25.8176i | − | 0.825134i | ||||||
\(980\) | 40.8221 | + | 9.09649i | 1.30402 | + | 0.290577i | ||||
\(981\) | 39.4163i | 1.25847i | ||||||||
\(982\) | 5.23019 | − | 9.25940i | 0.166902 | − | 0.295479i | ||||
\(983\) | 0.218784 | + | 0.203002i | 0.00697812 | + | 0.00647475i | 0.683654 | − | 0.729806i | \(-0.260390\pi\) |
−0.676676 | + | 0.736281i | \(0.736580\pi\) | |||||||
\(984\) | 11.0110 | − | 7.97231i | 0.351018 | − | 0.254148i | ||||
\(985\) | −48.5033 | + | 14.9613i | −1.54544 | + | 0.476706i | ||||
\(986\) | 33.4597 | − | 10.6673i | 1.06558 | − | 0.339717i | ||||
\(987\) | 6.96347 | − | 22.0379i | 0.221650 | − | 0.701475i | ||||
\(988\) | −0.0564506 | + | 1.00788i | −0.00179593 | + | 0.0320649i | ||||
\(989\) | 23.7837 | − | 1.78234i | 0.756278 | − | 0.0566752i | ||||
\(990\) | −24.5730 | − | 5.36549i | −0.780981 | − | 0.170526i | ||||
\(991\) | −0.730632 | + | 9.74961i | −0.0232093 | + | 0.309706i | 0.973502 | + | 0.228677i | \(0.0734399\pi\) |
−0.996712 | + | 0.0810297i | \(0.974179\pi\) | |||||||
\(992\) | −2.63758 | − | 55.9315i | −0.0837432 | − | 1.77583i | ||||
\(993\) | 23.2918 | − | 11.2167i | 0.739142 | − | 0.355952i | ||||
\(994\) | −0.524321 | + | 3.54047i | −0.0166304 | + | 0.112297i | ||||
\(995\) | 5.50529 | − | 11.4318i | 0.174529 | − | 0.362414i | ||||
\(996\) | 7.31613 | − | 9.53751i | 0.231821 | − | 0.302208i | ||||
\(997\) | −8.32188 | − | 55.2121i | −0.263557 | − | 1.74858i | −0.593731 | − | 0.804664i | \(-0.702345\pi\) |
0.330174 | − | 0.943920i | \(-0.392893\pi\) | |||||||
\(998\) | −18.3418 | − | 8.62095i | −0.580599 | − | 0.272891i | ||||
\(999\) | 6.20805 | + | 10.7527i | 0.196414 | + | 0.340199i |
(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 | 392.2.z.a.53.10 | yes | 648 | |
8.5 | even | 2 | inner | 392.2.z.a.53.12 | yes | 648 | |
49.37 | even | 21 | inner | 392.2.z.a.37.12 | yes | 648 | |
392.37 | even | 42 | inner | 392.2.z.a.37.10 | ✓ | 648 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
392.2.z.a.37.10 | ✓ | 648 | 392.37 | even | 42 | inner | |
392.2.z.a.37.12 | yes | 648 | 49.37 | even | 21 | inner | |
392.2.z.a.53.10 | yes | 648 | 1.1 | even | 1 | trivial | |
392.2.z.a.53.12 | yes | 648 | 8.5 | even | 2 | inner |