Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [845,2,Mod(484,845)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(845, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("845.484");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 845 = 5 \cdot 13^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 845.n (of order \(6\), degree \(2\), not 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: | \(6.74735897080\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{6})\) |
Coefficient field: | 12.0.89539436150784.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{12} - 2x^{11} + 2x^{10} - 8x^{9} + 4x^{8} + 16x^{7} - 8x^{6} + 20x^{5} + 20x^{4} - 24x^{3} + 8x^{2} - 8x + 4 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 2^{2} \) |
Twist minimal: | no (minimal twist has level 65) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 529.4 | ||
Root | \(1.98293 - 0.531325i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 845.529 |
Dual form | 845.2.n.g.484.4 |
$q$-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 \(\left(\mathbb{Z}/845\mathbb{Z}\right)^\times\).
\(n\) | \(171\) | \(677\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.05163 | + | 0.607160i | 0.743616 | + | 0.429327i | 0.823383 | − | 0.567487i | \(-0.192084\pi\) |
−0.0797666 | + | 0.996814i | \(0.525418\pi\) | |||||||
\(3\) | −1.13545 | − | 0.655554i | −0.655554 | − | 0.378484i | 0.135027 | − | 0.990842i | \(-0.456888\pi\) |
−0.790581 | + | 0.612358i | \(0.790221\pi\) | |||||||
\(4\) | −0.262714 | − | 0.455034i | −0.131357 | − | 0.227517i | ||||
\(5\) | 2.21432 | + | 0.311108i | 0.990274 | + | 0.139132i | ||||
\(6\) | −0.796052 | − | 1.37880i | −0.324987 | − | 0.562894i | ||||
\(7\) | 2.51426 | − | 1.45161i | 0.950299 | − | 0.548655i | 0.0571253 | − | 0.998367i | \(-0.481807\pi\) |
0.893174 | + | 0.449712i | \(0.148473\pi\) | |||||||
\(8\) | − | 3.06668i | − | 1.08423i | ||||||
\(9\) | −0.640498 | − | 1.10938i | −0.213499 | − | 0.369792i | ||||
\(10\) | 2.13976 | + | 1.67162i | 0.676650 | + | 0.528612i | ||||
\(11\) | 0.107160 | − | 0.185606i | 0.0323099 | − | 0.0559624i | −0.849418 | − | 0.527720i | \(-0.823047\pi\) |
0.881728 | + | 0.471758i | \(0.156380\pi\) | |||||||
\(12\) | 0.688892i | 0.198866i | ||||||||
\(13\) | 0 | 0 | ||||||||
\(14\) | 3.52543 | 0.942210 | ||||||||
\(15\) | −2.31031 | − | 1.80485i | −0.596519 | − | 0.466011i | ||||
\(16\) | 1.33654 | − | 2.31495i | 0.334134 | − | 0.578737i | ||||
\(17\) | −5.56737 | + | 3.21432i | −1.35028 | + | 0.779587i | −0.988289 | − | 0.152593i | \(-0.951238\pi\) |
−0.361995 | + | 0.932180i | \(0.617904\pi\) | |||||||
\(18\) | − | 1.55554i | − | 0.366644i | ||||||
\(19\) | −1.10716 | − | 1.91766i | −0.254000 | − | 0.439941i | 0.710624 | − | 0.703572i | \(-0.248413\pi\) |
−0.964623 | + | 0.263632i | \(0.915080\pi\) | |||||||
\(20\) | −0.440168 | − | 1.08932i | −0.0984245 | − | 0.243580i | ||||
\(21\) | −3.80642 | −0.830630 | ||||||||
\(22\) | 0.225385 | − | 0.130126i | 0.0480523 | − | 0.0277430i | ||||
\(23\) | −4.06070 | − | 2.34445i | −0.846714 | − | 0.488851i | 0.0128265 | − | 0.999918i | \(-0.495917\pi\) |
−0.859541 | + | 0.511067i | \(0.829250\pi\) | |||||||
\(24\) | −2.01037 | + | 3.48207i | −0.410365 | + | 0.710774i | ||||
\(25\) | 4.80642 | + | 1.37778i | 0.961285 | + | 0.275557i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 5.61285i | 1.08019i | ||||||||
\(28\) | −1.32106 | − | 0.762714i | −0.249657 | − | 0.144139i | ||||
\(29\) | 4.35482 | − | 7.54277i | 0.808669 | − | 1.40066i | −0.105116 | − | 0.994460i | \(-0.533522\pi\) |
0.913786 | − | 0.406197i | \(-0.133145\pi\) | |||||||
\(30\) | −1.33376 | − | 3.30077i | −0.243510 | − | 0.602635i | ||||
\(31\) | 5.59210 | 1.00437 | 0.502186 | − | 0.864760i | \(-0.332529\pi\) | ||||
0.502186 | + | 0.864760i | \(0.332529\pi\) | |||||||
\(32\) | −2.50055 | + | 1.44370i | −0.442040 | + | 0.255212i | ||||
\(33\) | −0.243350 | + | 0.140498i | −0.0423618 | + | 0.0244576i | ||||
\(34\) | −7.80642 | −1.33879 | ||||||||
\(35\) | 6.01897 | − | 2.43212i | 1.01739 | − | 0.411103i | ||||
\(36\) | −0.336535 | + | 0.582896i | −0.0560892 | + | 0.0971494i | ||||
\(37\) | −1.97540 | − | 1.14050i | −0.324754 | − | 0.187497i | 0.328756 | − | 0.944415i | \(-0.393371\pi\) |
−0.653510 | + | 0.756918i | \(0.726704\pi\) | |||||||
\(38\) | − | 2.68889i | − | 0.436196i | ||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 0.954067 | − | 6.79060i | 0.150851 | − | 1.07369i | ||||
\(41\) | 1.52543 | − | 2.64212i | 0.238232 | − | 0.412630i | −0.721975 | − | 0.691919i | \(-0.756766\pi\) |
0.960207 | + | 0.279289i | \(0.0900989\pi\) | |||||||
\(42\) | −4.00296 | − | 2.31111i | −0.617670 | − | 0.356612i | ||||
\(43\) | 5.50962 | − | 3.18098i | 0.840209 | − | 0.485095i | −0.0171260 | − | 0.999853i | \(-0.505452\pi\) |
0.857335 | + | 0.514758i | \(0.172118\pi\) | |||||||
\(44\) | −0.112610 | −0.0169765 | ||||||||
\(45\) | −1.07313 | − | 2.65578i | −0.159973 | − | 0.395900i | ||||
\(46\) | −2.84691 | − | 4.93099i | −0.419754 | − | 0.727034i | ||||
\(47\) | 1.09679i | 0.159983i | 0.996796 | + | 0.0799915i | \(0.0254893\pi\) | ||||
−0.996796 | + | 0.0799915i | \(0.974511\pi\) | |||||||
\(48\) | −3.03515 | + | 1.75234i | −0.438085 | + | 0.252929i | ||||
\(49\) | 0.714320 | − | 1.23724i | 0.102046 | − | 0.176748i | ||||
\(50\) | 4.21805 | + | 4.36719i | 0.596523 | + | 0.617614i | ||||
\(51\) | 8.42864 | 1.18025 | ||||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | − | 6.23506i | − | 0.856452i | −0.903672 | − | 0.428226i | \(-0.859139\pi\) | ||
0.903672 | − | 0.428226i | \(-0.140861\pi\) | |||||||
\(54\) | −3.40790 | + | 5.90265i | −0.463756 | + | 0.803249i | ||||
\(55\) | 0.295030 | − | 0.377654i | 0.0397818 | − | 0.0509228i | ||||
\(56\) | −4.45161 | − | 7.71041i | −0.594871 | − | 1.03035i | ||||
\(57\) | 2.90321i | 0.384540i | ||||||||
\(58\) | 9.15933 | − | 5.28814i | 1.20268 | − | 0.694367i | ||||
\(59\) | 4.63259 | + | 8.02388i | 0.603112 | + | 1.04462i | 0.992347 | + | 0.123481i | \(0.0394059\pi\) |
−0.389235 | + | 0.921138i | \(0.627261\pi\) | |||||||
\(60\) | −0.214320 | + | 1.52543i | −0.0276686 | + | 0.196932i | ||||
\(61\) | 0.140498 | + | 0.243350i | 0.0179889 | + | 0.0311578i | 0.874880 | − | 0.484340i | \(-0.160940\pi\) |
−0.856891 | + | 0.515498i | \(0.827607\pi\) | |||||||
\(62\) | 5.88083 | + | 3.39530i | 0.746867 | + | 0.431204i | ||||
\(63\) | −3.22075 | − | 1.85950i | −0.405777 | − | 0.234275i | ||||
\(64\) | −8.85236 | −1.10654 | ||||||||
\(65\) | 0 | 0 | ||||||||
\(66\) | −0.341219 | −0.0420012 | ||||||||
\(67\) | 6.72078 | + | 3.88025i | 0.821074 | + | 0.474047i | 0.850787 | − | 0.525511i | \(-0.176126\pi\) |
−0.0297125 | + | 0.999558i | \(0.509459\pi\) | |||||||
\(68\) | 2.92525 | + | 1.68889i | 0.354738 | + | 0.204808i | ||||
\(69\) | 3.07382 | + | 5.32402i | 0.370045 | + | 0.640936i | ||||
\(70\) | 7.80642 | + | 1.09679i | 0.933046 | + | 0.131091i | ||||
\(71\) | −3.04048 | − | 5.26627i | −0.360839 | − | 0.624991i | 0.627260 | − | 0.778810i | \(-0.284176\pi\) |
−0.988099 | + | 0.153818i | \(0.950843\pi\) | |||||||
\(72\) | −3.40210 | + | 1.96420i | −0.400941 | + | 0.231483i | ||||
\(73\) | 10.2810i | 1.20330i | 0.798760 | + | 0.601650i | \(0.205490\pi\) | ||||
−0.798760 | + | 0.601650i | \(0.794510\pi\) | |||||||
\(74\) | −1.38493 | − | 2.39877i | −0.160995 | − | 0.278851i | ||||
\(75\) | −4.55425 | − | 4.71528i | −0.525880 | − | 0.544474i | ||||
\(76\) | −0.581732 | + | 1.00759i | −0.0667293 | + | 0.115578i | ||||
\(77\) | − | 0.622216i | − | 0.0709081i | ||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 14.2351 | 1.60157 | 0.800785 | − | 0.598952i | \(-0.204416\pi\) | ||||
0.800785 | + | 0.598952i | \(0.204416\pi\) | |||||||
\(80\) | 3.67971 | − | 4.71023i | 0.411405 | − | 0.526619i | ||||
\(81\) | 1.75803 | − | 3.04500i | 0.195337 | − | 0.338333i | ||||
\(82\) | 3.20838 | − | 1.85236i | 0.354306 | − | 0.204559i | ||||
\(83\) | − | 9.52543i | − | 1.04555i | −0.852470 | − | 0.522776i | \(-0.824897\pi\) | ||
0.852470 | − | 0.522776i | \(-0.175103\pi\) | |||||||
\(84\) | 1.00000 | + | 1.73205i | 0.109109 | + | 0.188982i | ||||
\(85\) | −13.3279 | + | 5.38548i | −1.44562 | + | 0.584137i | ||||
\(86\) | 7.72546 | 0.833057 | ||||||||
\(87\) | −9.88938 | + | 5.70964i | −1.06025 | + | 0.612137i | ||||
\(88\) | −0.569195 | − | 0.328625i | −0.0606764 | − | 0.0350315i | ||||
\(89\) | 2.80642 | − | 4.86087i | 0.297480 | − | 0.515251i | −0.678078 | − | 0.734989i | \(-0.737187\pi\) |
0.975559 | + | 0.219738i | \(0.0705204\pi\) | |||||||
\(90\) | 0.483940 | − | 3.44446i | 0.0510118 | − | 0.363078i | ||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 2.46367i | 0.256856i | ||||||||
\(93\) | −6.34957 | − | 3.66593i | −0.658420 | − | 0.380139i | ||||
\(94\) | −0.665926 | + | 1.15342i | −0.0686850 | + | 0.118966i | ||||
\(95\) | −1.85501 | − | 4.59075i | −0.190320 | − | 0.471001i | ||||
\(96\) | 3.78568 | 0.386374 | ||||||||
\(97\) | −15.6244 | + | 9.02074i | −1.58642 | + | 0.915918i | −0.592525 | + | 0.805552i | \(0.701869\pi\) |
−0.993891 | + | 0.110366i | \(0.964798\pi\) | |||||||
\(98\) | 1.50240 | − | 0.867413i | 0.151766 | − | 0.0876219i | ||||
\(99\) | −0.274543 | −0.0275926 | ||||||||
\(100\) | −0.635776 | − | 2.54905i | −0.0635776 | − | 0.254905i | ||||
\(101\) | −1.96989 | + | 3.41195i | −0.196011 | + | 0.339501i | −0.947232 | − | 0.320550i | \(-0.896132\pi\) |
0.751220 | + | 0.660052i | \(0.229466\pi\) | |||||||
\(102\) | 8.86382 | + | 5.11753i | 0.877649 | + | 0.506711i | ||||
\(103\) | 2.82225i | 0.278084i | 0.990286 | + | 0.139042i | \(0.0444023\pi\) | ||||
−0.990286 | + | 0.139042i | \(0.955598\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −8.42864 | − | 1.18421i | −0.822551 | − | 0.115567i | ||||
\(106\) | 3.78568 | − | 6.55699i | 0.367698 | − | 0.636871i | ||||
\(107\) | 14.8242 | + | 8.55877i | 1.43311 | + | 0.827407i | 0.997357 | − | 0.0726585i | \(-0.0231483\pi\) |
0.435754 | + | 0.900066i | \(0.356482\pi\) | |||||||
\(108\) | 2.55403 | − | 1.47457i | 0.245762 | − | 0.141891i | ||||
\(109\) | −16.7239 | −1.60186 | −0.800931 | − | 0.598757i | \(-0.795662\pi\) | ||||
−0.800931 | + | 0.598757i | \(0.795662\pi\) | |||||||
\(110\) | 0.539559 | − | 0.218022i | 0.0514449 | − | 0.0207876i | ||||
\(111\) | 1.49532 | + | 2.58996i | 0.141929 | + | 0.245828i | ||||
\(112\) | − | 7.76049i | − | 0.733297i | ||||||
\(113\) | 1.02555 | − | 0.592104i | 0.0964760 | − | 0.0557005i | −0.450986 | − | 0.892531i | \(-0.648927\pi\) |
0.547462 | + | 0.836831i | \(0.315594\pi\) | |||||||
\(114\) | −1.76271 | + | 3.05311i | −0.165093 | + | 0.285950i | ||||
\(115\) | −8.26231 | − | 6.45467i | −0.770465 | − | 0.601901i | ||||
\(116\) | −4.57628 | −0.424897 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 11.2509i | 1.03573i | ||||||||
\(119\) | −9.33185 | + | 16.1632i | −0.855449 | + | 1.48168i | ||||
\(120\) | −5.53490 | + | 7.08497i | −0.505265 | + | 0.646766i | ||||
\(121\) | 5.47703 | + | 9.48650i | 0.497912 | + | 0.862409i | ||||
\(122\) | 0.341219i | 0.0308925i | ||||||||
\(123\) | −3.46410 | + | 2.00000i | −0.312348 | + | 0.180334i | ||||
\(124\) | −1.46912 | − | 2.54460i | −0.131931 | − | 0.228511i | ||||
\(125\) | 10.2143 | + | 4.54617i | 0.913597 | + | 0.406622i | ||||
\(126\) | −2.25803 | − | 3.91102i | −0.201161 | − | 0.348422i | ||||
\(127\) | 1.99337 | + | 1.15087i | 0.176883 | + | 0.102123i | 0.585827 | − | 0.810436i | \(-0.300770\pi\) |
−0.408945 | + | 0.912559i | \(0.634103\pi\) | |||||||
\(128\) | −4.30831 | − | 2.48741i | −0.380805 | − | 0.219858i | ||||
\(129\) | −8.34122 | −0.734403 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −13.4193 | −1.17245 | −0.586224 | − | 0.810149i | \(-0.699386\pi\) | ||||
−0.586224 | + | 0.810149i | \(0.699386\pi\) | |||||||
\(132\) | 0.127863 | + | 0.0738216i | 0.0111290 | + | 0.00642535i | ||||
\(133\) | −5.56737 | − | 3.21432i | −0.482752 | − | 0.278717i | ||||
\(134\) | 4.71186 | + | 8.16118i | 0.407043 | + | 0.705018i | ||||
\(135\) | −1.74620 | + | 12.4286i | −0.150289 | + | 1.06969i | ||||
\(136\) | 9.85728 | + | 17.0733i | 0.845255 | + | 1.46402i | ||||
\(137\) | 16.5866 | − | 9.57628i | 1.41709 | − | 0.818157i | 0.421047 | − | 0.907039i | \(-0.361663\pi\) |
0.996042 | + | 0.0888816i | \(0.0283293\pi\) | |||||||
\(138\) | 7.46520i | 0.635480i | ||||||||
\(139\) | 9.54617 | + | 16.5345i | 0.809696 | + | 1.40243i | 0.913075 | + | 0.407792i | \(0.133701\pi\) |
−0.103379 | + | 0.994642i | \(0.532966\pi\) | |||||||
\(140\) | −2.68796 | − | 2.09988i | −0.227174 | − | 0.177473i | ||||
\(141\) | 0.719004 | − | 1.24535i | 0.0605510 | − | 0.104877i | ||||
\(142\) | − | 7.38424i | − | 0.619671i | ||||||
\(143\) | 0 | 0 | ||||||||
\(144\) | −3.42419 | −0.285349 | ||||||||
\(145\) | 11.9896 | − | 15.3473i | 0.995680 | − | 1.27452i | ||||
\(146\) | −6.24221 | + | 10.8118i | −0.516609 | + | 0.894793i | ||||
\(147\) | −1.62215 | + | 0.936550i | −0.133793 | + | 0.0772454i | ||||
\(148\) | 1.19850i | 0.0985160i | ||||||||
\(149\) | 1.78568 | + | 3.09289i | 0.146289 | + | 0.253379i | 0.929853 | − | 0.367931i | \(-0.119934\pi\) |
−0.783564 | + | 0.621311i | \(0.786601\pi\) | |||||||
\(150\) | −1.92647 | − | 7.72390i | −0.157296 | − | 0.630654i | ||||
\(151\) | 1.26517 | 0.102958 | 0.0514792 | − | 0.998674i | \(-0.483606\pi\) | ||||
0.0514792 | + | 0.998674i | \(0.483606\pi\) | |||||||
\(152\) | −5.88083 | + | 3.39530i | −0.476999 | + | 0.275395i | ||||
\(153\) | 7.13177 | + | 4.11753i | 0.576570 | + | 0.332883i | ||||
\(154\) | 0.377784 | − | 0.654342i | 0.0304427 | − | 0.0527284i | ||||
\(155\) | 12.3827 | + | 1.73975i | 0.994603 | + | 0.139740i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 5.61285i | 0.447954i | 0.974594 | + | 0.223977i | \(0.0719041\pi\) | ||||
−0.974594 | + | 0.223977i | \(0.928096\pi\) | |||||||
\(158\) | 14.9700 | + | 8.64296i | 1.19095 | + | 0.687597i | ||||
\(159\) | −4.08742 | + | 7.07962i | −0.324154 | + | 0.561450i | ||||
\(160\) | −5.98617 | + | 2.41886i | −0.473248 | + | 0.191228i | ||||
\(161\) | −13.6128 | −1.07284 | ||||||||
\(162\) | 3.69760 | − | 2.13481i | 0.290511 | − | 0.167727i | ||||
\(163\) | −3.22075 | + | 1.85950i | −0.252269 | + | 0.145647i | −0.620803 | − | 0.783967i | \(-0.713193\pi\) |
0.368534 | + | 0.929614i | \(0.379860\pi\) | |||||||
\(164\) | −1.60300 | −0.125174 | ||||||||
\(165\) | −0.582565 | + | 0.235400i | −0.0453526 | + | 0.0183258i | ||||
\(166\) | 5.78346 | − | 10.0172i | 0.448883 | − | 0.777489i | ||||
\(167\) | 6.09384 | + | 3.51828i | 0.471556 | + | 0.272253i | 0.716891 | − | 0.697185i | \(-0.245565\pi\) |
−0.245335 | + | 0.969438i | \(0.578898\pi\) | |||||||
\(168\) | 11.6731i | 0.900597i | ||||||||
\(169\) | 0 | 0 | ||||||||
\(170\) | −17.2859 | − | 2.42864i | −1.32577 | − | 0.186268i | ||||
\(171\) | −1.41827 | + | 2.45651i | −0.108458 | + | 0.187854i | ||||
\(172\) | −2.89491 | − | 1.67138i | −0.220735 | − | 0.127441i | ||||
\(173\) | 0.626938 | − | 0.361963i | 0.0476652 | − | 0.0275195i | −0.475978 | − | 0.879457i | \(-0.657906\pi\) |
0.523643 | + | 0.851938i | \(0.324572\pi\) | |||||||
\(174\) | −13.8666 | −1.05123 | ||||||||
\(175\) | 14.0846 | − | 3.51293i | 1.06469 | − | 0.265553i | ||||
\(176\) | −0.286446 | − | 0.496139i | −0.0215917 | − | 0.0373979i | ||||
\(177\) | − | 12.1476i | − | 0.913073i | ||||||
\(178\) | 5.90265 | − | 3.40790i | 0.442422 | − | 0.255433i | ||||
\(179\) | −2.02074 | + | 3.50003i | −0.151037 | + | 0.261605i | −0.931609 | − | 0.363462i | \(-0.881595\pi\) |
0.780572 | + | 0.625066i | \(0.214928\pi\) | |||||||
\(180\) | −0.926541 | + | 1.18602i | −0.0690603 | + | 0.0884007i | ||||
\(181\) | 2.34122 | 0.174021 | 0.0870107 | − | 0.996207i | \(-0.472269\pi\) | ||||
0.0870107 | + | 0.996207i | \(0.472269\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | − | 0.368416i | − | 0.0272341i | ||||||
\(184\) | −7.18966 | + | 12.4529i | −0.530029 | + | 0.918036i | ||||
\(185\) | −4.01935 | − | 3.13999i | −0.295509 | − | 0.230857i | ||||
\(186\) | −4.45161 | − | 7.71041i | −0.326408 | − | 0.565355i | ||||
\(187\) | 1.37778i | 0.100754i | ||||||||
\(188\) | 0.499075 | − | 0.288141i | 0.0363988 | − | 0.0210149i | ||||
\(189\) | 8.14764 | + | 14.1121i | 0.592654 | + | 1.02651i | ||||
\(190\) | 0.836535 | − | 5.95407i | 0.0606887 | − | 0.431953i | ||||
\(191\) | 1.05086 | + | 1.82013i | 0.0760372 | + | 0.131700i | 0.901537 | − | 0.432702i | \(-0.142440\pi\) |
−0.825500 | + | 0.564403i | \(0.809107\pi\) | |||||||
\(192\) | 10.0514 | + | 5.80320i | 0.725400 | + | 0.418810i | ||||
\(193\) | 11.7095 | + | 6.76049i | 0.842869 | + | 0.486631i | 0.858238 | − | 0.513251i | \(-0.171559\pi\) |
−0.0153692 | + | 0.999882i | \(0.504892\pi\) | |||||||
\(194\) | −21.9081 | −1.57291 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −0.750647 | −0.0536176 | ||||||||
\(197\) | −1.73205 | − | 1.00000i | −0.123404 | − | 0.0712470i | 0.437028 | − | 0.899448i | \(-0.356031\pi\) |
−0.560431 | + | 0.828201i | \(0.689365\pi\) | |||||||
\(198\) | −0.288718 | − | 0.166691i | −0.0205183 | − | 0.0118462i | ||||
\(199\) | 11.0716 | + | 19.1766i | 0.784845 | + | 1.35939i | 0.929092 | + | 0.369849i | \(0.120591\pi\) |
−0.144247 | + | 0.989542i | \(0.546076\pi\) | |||||||
\(200\) | 4.22522 | − | 14.7397i | 0.298768 | − | 1.04226i | ||||
\(201\) | −5.08742 | − | 8.81167i | −0.358839 | − | 0.621527i | ||||
\(202\) | −4.14319 | + | 2.39207i | −0.291514 | + | 0.168306i | ||||
\(203\) | − | 25.2859i | − | 1.77472i | ||||||
\(204\) | −2.21432 | − | 3.83531i | −0.155033 | − | 0.268526i | ||||
\(205\) | 4.19977 | − | 5.37592i | 0.293325 | − | 0.375471i | ||||
\(206\) | −1.71355 | + | 2.96796i | −0.119389 | + | 0.206788i | ||||
\(207\) | 6.00645i | 0.417477i | ||||||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −0.474572 | −0.0328269 | ||||||||
\(210\) | −8.14482 | − | 6.36288i | −0.562046 | − | 0.439081i | ||||
\(211\) | −9.82717 | + | 17.0212i | −0.676530 | + | 1.17178i | 0.299489 | + | 0.954100i | \(0.403184\pi\) |
−0.976019 | + | 0.217685i | \(0.930150\pi\) | |||||||
\(212\) | −2.83716 | + | 1.63804i | −0.194857 | + | 0.112501i | ||||
\(213\) | 7.97280i | 0.546287i | ||||||||
\(214\) | 10.3931 | + | 18.0013i | 0.710456 | + | 1.23055i | ||||
\(215\) | 13.1897 | − | 5.32962i | 0.899530 | − | 0.363477i | ||||
\(216\) | 17.2128 | 1.17118 | ||||||||
\(217\) | 14.0600 | − | 8.11753i | 0.954453 | − | 0.551054i | ||||
\(218\) | −17.5874 | − | 10.1541i | −1.19117 | − | 0.687722i | ||||
\(219\) | 6.73975 | − | 11.6736i | 0.455430 | − | 0.788828i | ||||
\(220\) | −0.249353 | − | 0.0350337i | −0.0168114 | − | 0.00236197i | ||||
\(221\) | 0 | 0 | ||||||||
\(222\) | 3.63158i | 0.243736i | ||||||||
\(223\) | −17.0335 | − | 9.83431i | −1.14065 | − | 0.658554i | −0.194058 | − | 0.980990i | \(-0.562165\pi\) |
−0.946591 | + | 0.322436i | \(0.895498\pi\) | |||||||
\(224\) | −4.19135 | + | 7.25964i | −0.280047 | + | 0.485055i | ||||
\(225\) | −1.55003 | − | 6.21460i | −0.103335 | − | 0.414306i | ||||
\(226\) | 1.43801 | 0.0956548 | ||||||||
\(227\) | 11.4936 | − | 6.63581i | 0.762855 | − | 0.440434i | −0.0674650 | − | 0.997722i | \(-0.521491\pi\) |
0.830320 | + | 0.557287i | \(0.188158\pi\) | |||||||
\(228\) | 1.32106 | − | 0.762714i | 0.0874893 | − | 0.0505120i | ||||
\(229\) | −2.42864 | −0.160489 | −0.0802445 | − | 0.996775i | \(-0.525570\pi\) | ||||
−0.0802445 | + | 0.996775i | \(0.525570\pi\) | |||||||
\(230\) | −4.76989 | − | 11.8045i | −0.314517 | − | 0.778364i | ||||
\(231\) | −0.407896 | + | 0.706496i | −0.0268376 | + | 0.0464841i | ||||
\(232\) | −23.1312 | − | 13.3548i | −1.51864 | − | 0.876787i | ||||
\(233\) | − | 16.1748i | − | 1.05965i | −0.848107 | − | 0.529825i | \(-0.822258\pi\) | ||
0.848107 | − | 0.529825i | \(-0.177742\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −0.341219 | + | 2.42864i | −0.0222587 | + | 0.158427i | ||||
\(236\) | 2.43409 | − | 4.21597i | 0.158446 | − | 0.274436i | ||||
\(237\) | −16.1632 | − | 9.33185i | −1.04992 | − | 0.606169i | ||||
\(238\) | −19.6273 | + | 11.3319i | −1.27225 | + | 0.734535i | ||||
\(239\) | −12.7763 | −0.826431 | −0.413215 | − | 0.910633i | \(-0.635594\pi\) | ||||
−0.413215 | + | 0.910633i | \(0.635594\pi\) | |||||||
\(240\) | −7.26595 | + | 2.93599i | −0.469015 | + | 0.189517i | ||||
\(241\) | −2.94914 | − | 5.10807i | −0.189971 | − | 0.329040i | 0.755269 | − | 0.655415i | \(-0.227506\pi\) |
−0.945240 | + | 0.326375i | \(0.894173\pi\) | |||||||
\(242\) | 13.3017i | 0.855068i | ||||||||
\(243\) | 10.5903 | − | 6.11430i | 0.679367 | − | 0.392233i | ||||
\(244\) | 0.0738216 | − | 0.127863i | 0.00472594 | − | 0.00818557i | ||||
\(245\) | 1.96665 | − | 2.51741i | 0.125644 | − | 0.160831i | ||||
\(246\) | −4.85728 | −0.309689 | ||||||||
\(247\) | 0 | 0 | ||||||||
\(248\) | − | 17.1492i | − | 1.08897i | ||||||
\(249\) | −6.24443 | + | 10.8157i | −0.395725 | + | 0.685415i | ||||
\(250\) | 7.98145 | + | 10.9826i | 0.504791 | + | 0.694602i | ||||
\(251\) | 1.03657 | + | 1.79538i | 0.0654274 | + | 0.113324i | 0.896884 | − | 0.442267i | \(-0.145826\pi\) |
−0.831456 | + | 0.555590i | \(0.812492\pi\) | |||||||
\(252\) | 1.95407i | 0.123095i | ||||||||
\(253\) | −0.870288 | + | 0.502461i | −0.0547145 | + | 0.0315895i | ||||
\(254\) | 1.39752 | + | 2.42058i | 0.0876885 | + | 0.151881i | ||||
\(255\) | 18.6637 | + | 2.62222i | 1.16877 | + | 0.164210i | ||||
\(256\) | 5.83185 | + | 10.1011i | 0.364491 | + | 0.631316i | ||||
\(257\) | −15.9323 | − | 9.19850i | −0.993827 | − | 0.573787i | −0.0874113 | − | 0.996172i | \(-0.527859\pi\) |
−0.906416 | + | 0.422386i | \(0.861193\pi\) | |||||||
\(258\) | −8.77189 | − | 5.06445i | −0.546114 | − | 0.315299i | ||||
\(259\) | −6.62222 | −0.411484 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −11.1570 | −0.690602 | ||||||||
\(262\) | −14.1121 | − | 8.14764i | −0.871850 | − | 0.503363i | ||||
\(263\) | 9.54851 | + | 5.51283i | 0.588786 | + | 0.339936i | 0.764617 | − | 0.644484i | \(-0.222928\pi\) |
−0.175831 | + | 0.984420i | \(0.556261\pi\) | |||||||
\(264\) | 0.430862 | + | 0.746276i | 0.0265177 | + | 0.0459301i | ||||
\(265\) | 1.93978 | − | 13.8064i | 0.119160 | − | 0.848122i | ||||
\(266\) | −3.90321 | − | 6.76056i | −0.239321 | − | 0.414517i | ||||
\(267\) | −6.37312 | + | 3.67952i | −0.390029 | + | 0.225183i | ||||
\(268\) | − | 4.07758i | − | 0.249078i | ||||||
\(269\) | −8.07160 | − | 13.9804i | −0.492134 | − | 0.852401i | 0.507825 | − | 0.861460i | \(-0.330450\pi\) |
−0.999959 | + | 0.00905911i | \(0.997116\pi\) | |||||||
\(270\) | −9.38253 | + | 12.0101i | −0.571003 | + | 0.730913i | ||||
\(271\) | 6.50569 | − | 11.2682i | 0.395192 | − | 0.684493i | −0.597933 | − | 0.801546i | \(-0.704011\pi\) |
0.993126 | + | 0.117053i | \(0.0373446\pi\) | |||||||
\(272\) | 17.1842i | 1.04195i | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 23.2573 | 1.40503 | ||||||||
\(275\) | 0.770781 | − | 0.744460i | 0.0464799 | − | 0.0448926i | ||||
\(276\) | 1.61507 | − | 2.79738i | 0.0972158 | − | 0.168383i | ||||
\(277\) | 6.55699 | − | 3.78568i | 0.393971 | − | 0.227459i | −0.289908 | − | 0.957054i | \(-0.593625\pi\) |
0.683879 | + | 0.729595i | \(0.260291\pi\) | |||||||
\(278\) | 23.1842i | 1.39050i | ||||||||
\(279\) | −3.58173 | − | 6.20374i | −0.214433 | − | 0.371408i | ||||
\(280\) | −7.45851 | − | 18.4582i | −0.445731 | − | 1.10309i | ||||
\(281\) | −6.75557 | −0.403003 | −0.201502 | − | 0.979488i | \(-0.564582\pi\) | ||||
−0.201502 | + | 0.979488i | \(0.564582\pi\) | |||||||
\(282\) | 1.51225 | − | 0.873100i | 0.0900534 | − | 0.0519924i | ||||
\(283\) | 16.5289 | + | 9.54294i | 0.982539 | + | 0.567269i | 0.903036 | − | 0.429565i | \(-0.141333\pi\) |
0.0795033 | + | 0.996835i | \(0.474667\pi\) | |||||||
\(284\) | −1.59755 | + | 2.76704i | −0.0947974 | + | 0.164194i | ||||
\(285\) | −0.903212 | + | 6.42864i | −0.0535017 | + | 0.380800i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | − | 8.85728i | − | 0.522829i | ||||||
\(288\) | 3.20320 | + | 1.84937i | 0.188750 | + | 0.108975i | ||||
\(289\) | 12.1637 | − | 21.0682i | 0.715512 | − | 1.23930i | ||||
\(290\) | 21.9269 | − | 8.86010i | 1.28759 | − | 0.520283i | ||||
\(291\) | 23.6543 | 1.38664 | ||||||||
\(292\) | 4.67820 | − | 2.70096i | 0.273771 | − | 0.158062i | ||||
\(293\) | −7.00391 | + | 4.04371i | −0.409173 | + | 0.236236i | −0.690434 | − | 0.723395i | \(-0.742581\pi\) |
0.281261 | + | 0.959631i | \(0.409247\pi\) | |||||||
\(294\) | −2.27454 | −0.132654 | ||||||||
\(295\) | 7.76174 | + | 19.2087i | 0.451906 | + | 1.11837i | ||||
\(296\) | −3.49754 | + | 6.05792i | −0.203290 | + | 0.352109i | ||||
\(297\) | 1.04178 | + | 0.601472i | 0.0604502 | + | 0.0349009i | ||||
\(298\) | 4.33677i | 0.251223i | ||||||||
\(299\) | 0 | 0 | ||||||||
\(300\) | −0.949145 | + | 3.31111i | −0.0547989 | + | 0.191167i | ||||
\(301\) | 9.23506 | − | 15.9956i | 0.532300 | − | 0.921971i | ||||
\(302\) | 1.33050 | + | 0.768163i | 0.0765616 | + | 0.0442028i | ||||
\(303\) | 4.47343 | − | 2.58274i | 0.256992 | − | 0.148374i | ||||
\(304\) | −5.91903 | −0.339480 | ||||||||
\(305\) | 0.235400 | + | 0.582565i | 0.0134790 | + | 0.0333576i | ||||
\(306\) | 5.00000 | + | 8.66025i | 0.285831 | + | 0.495074i | ||||
\(307\) | 13.4336i | 0.766694i | 0.923604 | + | 0.383347i | \(0.125229\pi\) | ||||
−0.923604 | + | 0.383347i | \(0.874771\pi\) | |||||||
\(308\) | −0.283129 | + | 0.163465i | −0.0161328 | + | 0.00931426i | ||||
\(309\) | 1.85013 | − | 3.20453i | 0.105250 | − | 0.182299i | ||||
\(310\) | 11.9657 | + | 9.34786i | 0.679609 | + | 0.530923i | ||||
\(311\) | 20.2034 | 1.14563 | 0.572815 | − | 0.819684i | \(-0.305851\pi\) | ||||
0.572815 | + | 0.819684i | \(0.305851\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | − | 15.1111i | − | 0.854129i | −0.904221 | − | 0.427064i | \(-0.859548\pi\) | ||
0.904221 | − | 0.427064i | \(-0.140452\pi\) | |||||||
\(314\) | −3.40790 | + | 5.90265i | −0.192319 | + | 0.333106i | ||||
\(315\) | −6.55327 | − | 5.11953i | −0.369235 | − | 0.288453i | ||||
\(316\) | −3.73975 | − | 6.47743i | −0.210377 | − | 0.364384i | ||||
\(317\) | − | 22.2810i | − | 1.25143i | −0.780054 | − | 0.625713i | \(-0.784808\pi\) | ||
0.780054 | − | 0.625713i | \(-0.215192\pi\) | |||||||
\(318\) | −8.59692 | + | 4.96343i | −0.482091 | + | 0.278336i | ||||
\(319\) | −0.933323 | − | 1.61656i | −0.0522561 | − | 0.0905102i | ||||
\(320\) | −19.6019 | − | 2.75404i | −1.09578 | − | 0.153955i | ||||
\(321\) | −11.2215 | − | 19.4361i | −0.626321 | − | 1.08482i | ||||
\(322\) | −14.3157 | − | 8.26517i | −0.797783 | − | 0.460600i | ||||
\(323\) | 12.3279 | + | 7.11753i | 0.685944 | + | 0.396030i | ||||
\(324\) | −1.84743 | −0.102635 | ||||||||
\(325\) | 0 | 0 | ||||||||
\(326\) | −4.51606 | −0.250121 | ||||||||
\(327\) | 18.9892 | + | 10.9634i | 1.05011 | + | 0.606279i | ||||
\(328\) | −8.10252 | − | 4.67799i | −0.447387 | − | 0.258299i | ||||
\(329\) | 1.59210 | + | 2.75761i | 0.0877755 | + | 0.152032i | ||||
\(330\) | −0.755569 | − | 0.106156i | −0.0415927 | − | 0.00584370i | ||||
\(331\) | 4.12790 | + | 7.14974i | 0.226890 | + | 0.392985i | 0.956885 | − | 0.290468i | \(-0.0938108\pi\) |
−0.729995 | + | 0.683453i | \(0.760478\pi\) | |||||||
\(332\) | −4.33439 | + | 2.50246i | −0.237881 | + | 0.137340i | ||||
\(333\) | 2.92195i | 0.160122i | ||||||||
\(334\) | 4.27232 | + | 7.39988i | 0.233771 | + | 0.404903i | ||||
\(335\) | 13.6748 | + | 10.6830i | 0.747133 | + | 0.583674i | ||||
\(336\) | −5.08742 | + | 8.81167i | −0.277542 | + | 0.480716i | ||||
\(337\) | − | 13.7462i | − | 0.748803i | −0.927267 | − | 0.374402i | \(-0.877848\pi\) | ||
0.927267 | − | 0.374402i | \(-0.122152\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −1.55262 | −0.0843270 | ||||||||
\(340\) | 5.95200 | + | 4.64981i | 0.322793 | + | 0.252172i | ||||
\(341\) | 0.599249 | − | 1.03793i | 0.0324512 | − | 0.0562071i | ||||
\(342\) | −2.98299 | + | 1.72223i | −0.161302 | + | 0.0931276i | ||||
\(343\) | 16.1748i | 0.873359i | ||||||||
\(344\) | −9.75504 | − | 16.8962i | −0.525957 | − | 0.910984i | ||||
\(345\) | 5.15008 | + | 12.7454i | 0.277271 | + | 0.686187i | ||||
\(346\) | 0.879077 | 0.0472595 | ||||||||
\(347\) | 1.05589 | − | 0.609621i | 0.0566834 | − | 0.0327262i | −0.471390 | − | 0.881925i | \(-0.656248\pi\) |
0.528074 | + | 0.849198i | \(0.322914\pi\) | |||||||
\(348\) | 5.19615 | + | 3.00000i | 0.278543 | + | 0.160817i | ||||
\(349\) | −11.2558 | + | 19.4956i | −0.602510 | + | 1.04358i | 0.389930 | + | 0.920844i | \(0.372499\pi\) |
−0.992440 | + | 0.122733i | \(0.960834\pi\) | |||||||
\(350\) | 16.9447 | + | 4.85728i | 0.905732 | + | 0.259632i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 0.618825i | 0.0329835i | ||||||||
\(353\) | 12.3677 | + | 7.14050i | 0.658267 | + | 0.380050i | 0.791616 | − | 0.611019i | \(-0.209240\pi\) |
−0.133350 | + | 0.991069i | \(0.542573\pi\) | |||||||
\(354\) | 7.37556 | − | 12.7748i | 0.392007 | − | 0.678975i | ||||
\(355\) | −5.09422 | − | 12.6071i | −0.270373 | − | 0.669117i | ||||
\(356\) | −2.94914 | −0.156304 | ||||||||
\(357\) | 21.1918 | − | 12.2351i | 1.12159 | − | 0.647548i | ||||
\(358\) | −4.25016 | + | 2.45383i | −0.224628 | + | 0.129689i | ||||
\(359\) | −12.1541 | −0.641469 | −0.320734 | − | 0.947169i | \(-0.603930\pi\) | ||||
−0.320734 | + | 0.947169i | \(0.603930\pi\) | |||||||
\(360\) | −8.14440 | + | 3.29095i | −0.429248 | + | 0.173448i | ||||
\(361\) | 7.04839 | − | 12.2082i | 0.370968 | − | 0.642536i | ||||
\(362\) | 2.46210 | + | 1.42149i | 0.129405 | + | 0.0747121i | ||||
\(363\) | − | 14.3620i | − | 0.753808i | ||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −3.19850 | + | 22.7654i | −0.167417 | + | 1.19160i | ||||
\(366\) | 0.223688 | − | 0.387438i | 0.0116923 | − | 0.0202517i | ||||
\(367\) | 4.03330 | + | 2.32862i | 0.210536 | + | 0.121553i | 0.601561 | − | 0.798827i | \(-0.294546\pi\) |
−0.391024 | + | 0.920380i | \(0.627879\pi\) | |||||||
\(368\) | −10.8545 | + | 6.26687i | −0.565832 | + | 0.326683i | ||||
\(369\) | −3.90813 | −0.203449 | ||||||||
\(370\) | −2.32040 | − | 5.74250i | −0.120632 | − | 0.298538i | ||||
\(371\) | −9.05086 | − | 15.6765i | −0.469897 | − | 0.813885i | ||||
\(372\) | 3.85236i | 0.199735i | ||||||||
\(373\) | −30.2591 | + | 17.4701i | −1.56676 | + | 0.904569i | −0.570216 | + | 0.821495i | \(0.693140\pi\) |
−0.996543 | + | 0.0830740i | \(0.973526\pi\) | |||||||
\(374\) | −0.836535 | + | 1.44892i | −0.0432562 | + | 0.0749220i | ||||
\(375\) | −8.61762 | − | 11.8580i | −0.445012 | − | 0.612344i | ||||
\(376\) | 3.36349 | 0.173459 | ||||||||
\(377\) | 0 | 0 | ||||||||
\(378\) | 19.7877i | 1.01777i | ||||||||
\(379\) | 8.73583 | − | 15.1309i | 0.448729 | − | 0.777222i | −0.549574 | − | 0.835445i | \(-0.685210\pi\) |
0.998304 | + | 0.0582228i | \(0.0185434\pi\) | |||||||
\(380\) | −1.60161 | + | 2.05014i | −0.0821609 | + | 0.105170i | ||||
\(381\) | −1.50891 | − | 2.61352i | −0.0773040 | − | 0.133895i | ||||
\(382\) | 2.55215i | 0.130579i | ||||||||
\(383\) | −16.1756 | + | 9.33900i | −0.826535 | + | 0.477200i | −0.852665 | − | 0.522458i | \(-0.825015\pi\) |
0.0261296 | + | 0.999659i | \(0.491682\pi\) | |||||||
\(384\) | 3.26126 | + | 5.64866i | 0.166425 | + | 0.288257i | ||||
\(385\) | 0.193576 | − | 1.37778i | 0.00986555 | − | 0.0702184i | ||||
\(386\) | 8.20940 | + | 14.2191i | 0.417847 | + | 0.723733i | ||||
\(387\) | −7.05780 | − | 4.07483i | −0.358768 | − | 0.207135i | ||||
\(388\) | 8.20948 | + | 4.73975i | 0.416773 | + | 0.240624i | ||||
\(389\) | −1.61285 | −0.0817746 | −0.0408873 | − | 0.999164i | \(-0.513018\pi\) | ||||
−0.0408873 | + | 0.999164i | \(0.513018\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 30.1432 | 1.52441 | ||||||||
\(392\) | −3.79421 | − | 2.19059i | −0.191636 | − | 0.110641i | ||||
\(393\) | 15.2369 | + | 8.79706i | 0.768602 | + | 0.443753i | ||||
\(394\) | −1.21432 | − | 2.10326i | −0.0611765 | − | 0.105961i | ||||
\(395\) | 31.5210 | + | 4.42864i | 1.58599 | + | 0.222829i | ||||
\(396\) | 0.0721262 | + | 0.124926i | 0.00362448 | + | 0.00627778i | ||||
\(397\) | −5.69523 | + | 3.28814i | −0.285835 | + | 0.165027i | −0.636062 | − | 0.771638i | \(-0.719438\pi\) |
0.350227 | + | 0.936665i | \(0.386104\pi\) | |||||||
\(398\) | 26.8889i | 1.34782i | ||||||||
\(399\) | 4.21432 | + | 7.29942i | 0.210980 | + | 0.365428i | ||||
\(400\) | 9.61345 | − | 9.28516i | 0.480673 | − | 0.464258i | ||||
\(401\) | −10.9541 | + | 18.9730i | −0.547020 | + | 0.947466i | 0.451457 | + | 0.892293i | \(0.350905\pi\) |
−0.998477 | + | 0.0551735i | \(0.982429\pi\) | |||||||
\(402\) | − | 12.3555i | − | 0.616237i | ||||||
\(403\) | 0 | 0 | ||||||||
\(404\) | 2.07007 | 0.102990 | ||||||||
\(405\) | 4.84016 | − | 6.19566i | 0.240510 | − | 0.307865i | ||||
\(406\) | 15.3526 | − | 26.5915i | 0.761936 | − | 1.31971i | ||||
\(407\) | −0.423367 | + | 0.244431i | −0.0209855 | + | 0.0121160i | ||||
\(408\) | − | 25.8479i | − | 1.27966i | ||||||
\(409\) | 5.09679 | + | 8.82790i | 0.252020 | + | 0.436511i | 0.964082 | − | 0.265605i | \(-0.0855718\pi\) |
−0.712062 | + | 0.702117i | \(0.752238\pi\) | |||||||
\(410\) | 7.68065 | − | 3.10356i | 0.379320 | − | 0.153274i | ||||
\(411\) | −25.1111 | −1.23864 | ||||||||
\(412\) | 1.28422 | − | 0.741443i | 0.0632688 | − | 0.0365283i | ||||
\(413\) | 23.2950 | + | 13.4494i | 1.14627 | + | 0.661801i | ||||
\(414\) | −3.64688 | + | 6.31658i | −0.179234 | + | 0.310443i | ||||
\(415\) | 2.96343 | − | 21.0923i | 0.145469 | − | 1.03538i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | − | 25.0321i | − | 1.22583i | ||||||
\(418\) | −0.499075 | − | 0.288141i | −0.0244106 | − | 0.0140935i | ||||
\(419\) | 3.65878 | − | 6.33719i | 0.178743 | − | 0.309592i | −0.762707 | − | 0.646744i | \(-0.776130\pi\) |
0.941450 | + | 0.337152i | \(0.109464\pi\) | |||||||
\(420\) | 1.67547 | + | 4.14642i | 0.0817543 | + | 0.202325i | ||||
\(421\) | 7.86665 | 0.383397 | 0.191698 | − | 0.981454i | \(-0.438600\pi\) | ||||
0.191698 | + | 0.981454i | \(0.438600\pi\) | |||||||
\(422\) | −20.6691 | + | 11.9333i | −1.00616 | + | 0.580905i | ||||
\(423\) | 1.21675 | − | 0.702491i | 0.0591604 | − | 0.0341563i | ||||
\(424\) | −19.1209 | −0.928594 | ||||||||
\(425\) | −31.1878 | + | 7.77875i | −1.51283 | + | 0.377325i | ||||
\(426\) | −4.84077 | + | 8.38445i | −0.234536 | + | 0.406228i | ||||
\(427\) | 0.706496 | + | 0.407896i | 0.0341898 | + | 0.0197395i | ||||
\(428\) | − | 8.99402i | − | 0.434743i | ||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 17.1066 | + | 2.40345i | 0.824955 | + | 0.115905i | ||||
\(431\) | −19.4598 | + | 33.7053i | −0.937343 | + | 1.62353i | −0.166943 | + | 0.985967i | \(0.553389\pi\) |
−0.770401 | + | 0.637560i | \(0.779944\pi\) | |||||||
\(432\) | 12.9934 | + | 7.50177i | 0.625147 | + | 0.360929i | ||||
\(433\) | 17.4967 | − | 10.1017i | 0.840837 | − | 0.485457i | −0.0167119 | − | 0.999860i | \(-0.505320\pi\) |
0.857548 | + | 0.514403i | \(0.171986\pi\) | |||||||
\(434\) | 19.7146 | 0.946329 | ||||||||
\(435\) | −23.6746 | + | 9.56630i | −1.13511 | + | 0.458669i | ||||
\(436\) | 4.39361 | + | 7.60995i | 0.210416 | + | 0.364450i | ||||
\(437\) | 10.3827i | 0.496672i | ||||||||
\(438\) | 14.1755 | − | 8.18421i | 0.677330 | − | 0.391057i | ||||
\(439\) | 5.44446 | − | 9.43008i | 0.259850 | − | 0.450073i | −0.706352 | − | 0.707861i | \(-0.749660\pi\) |
0.966202 | + | 0.257788i | \(0.0829936\pi\) | |||||||
\(440\) | −1.15814 | − | 0.904761i | −0.0552122 | − | 0.0431328i | ||||
\(441\) | −1.83008 | −0.0871468 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 28.6287i | 1.36019i | 0.733124 | + | 0.680095i | \(0.238061\pi\) | ||||
−0.733124 | + | 0.680095i | \(0.761939\pi\) | |||||||
\(444\) | 0.785680 | − | 1.36084i | 0.0372867 | − | 0.0645825i | ||||
\(445\) | 7.72657 | − | 9.89042i | 0.366275 | − | 0.468851i | ||||
\(446\) | −11.9420 | − | 20.6842i | −0.565470 | − | 0.979423i | ||||
\(447\) | − | 4.68244i | − | 0.221472i | ||||||
\(448\) | −22.2571 | + | 12.8501i | −1.05155 | + | 0.607112i | ||||
\(449\) | 5.46520 | + | 9.46601i | 0.257919 | + | 0.446729i | 0.965684 | − | 0.259719i | \(-0.0836299\pi\) |
−0.707765 | + | 0.706448i | \(0.750297\pi\) | |||||||
\(450\) | 2.14320 | − | 7.47658i | 0.101031 | − | 0.352449i | ||||
\(451\) | −0.326929 | − | 0.566258i | −0.0153945 | − | 0.0266641i | ||||
\(452\) | −0.538855 | − | 0.311108i | −0.0253456 | − | 0.0146333i | ||||
\(453\) | −1.43655 | − | 0.829390i | −0.0674948 | − | 0.0389682i | ||||
\(454\) | 16.1160 | 0.756361 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 8.90321 | 0.416931 | ||||||||
\(457\) | −9.87820 | − | 5.70318i | −0.462083 | − | 0.266784i | 0.250837 | − | 0.968029i | \(-0.419294\pi\) |
−0.712920 | + | 0.701246i | \(0.752628\pi\) | |||||||
\(458\) | −2.55403 | − | 1.47457i | −0.119342 | − | 0.0689022i | ||||
\(459\) | −18.0415 | − | 31.2488i | −0.842105 | − | 1.45857i | ||||
\(460\) | −0.766468 | + | 5.45536i | −0.0357368 | + | 0.254357i | ||||
\(461\) | −13.0667 | − | 22.6321i | −0.608576 | − | 1.05408i | −0.991475 | − | 0.130294i | \(-0.958408\pi\) |
0.382900 | − | 0.923790i | \(-0.374926\pi\) | |||||||
\(462\) | −0.857913 | + | 0.495316i | −0.0399137 | + | 0.0230442i | ||||
\(463\) | − | 7.92242i | − | 0.368186i | −0.982909 | − | 0.184093i | \(-0.941065\pi\) | ||
0.982909 | − | 0.184093i | \(-0.0589348\pi\) | |||||||
\(464\) | −11.6407 | − | 20.1623i | −0.540408 | − | 0.936013i | ||||
\(465\) | −12.9195 | − | 10.0929i | −0.599126 | − | 0.468049i | ||||
\(466\) | 9.82071 | − | 17.0100i | 0.454936 | − | 0.787972i | ||||
\(467\) | 10.8923i | 0.504036i | 0.967723 | + | 0.252018i | \(0.0810942\pi\) | ||||
−0.967723 | + | 0.252018i | \(0.918906\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 22.5303 | 1.04035 | ||||||||
\(470\) | −1.83341 | + | 2.34686i | −0.0845689 | + | 0.108253i | ||||
\(471\) | 3.67952 | − | 6.37312i | 0.169544 | − | 0.293658i | ||||
\(472\) | 24.6066 | − | 14.2066i | 1.13261 | − | 0.653914i | ||||
\(473\) | − | 1.36349i | − | 0.0626935i | ||||||
\(474\) | −11.3319 | − | 19.6273i | −0.520489 | − | 0.901514i | ||||
\(475\) | −2.67936 | − | 10.7425i | −0.122938 | − | 0.492900i | ||||
\(476\) | 9.80642 | 0.449477 | ||||||||
\(477\) | −6.91703 | + | 3.99355i | −0.316709 | + | 0.182852i | ||||
\(478\) | −13.4360 | − | 7.75726i | −0.614547 | − | 0.354809i | ||||
\(479\) | 4.56591 | − | 7.90839i | 0.208622 | − | 0.361344i | −0.742659 | − | 0.669670i | \(-0.766436\pi\) |
0.951281 | + | 0.308326i | \(0.0997689\pi\) | |||||||
\(480\) | 8.38271 | + | 1.17775i | 0.382616 | + | 0.0537569i | ||||
\(481\) | 0 | 0 | ||||||||
\(482\) | − | 7.16241i | − | 0.326239i | ||||||
\(483\) | 15.4567 | + | 8.92396i | 0.703306 | + | 0.406054i | ||||
\(484\) | 2.87778 | − | 4.98447i | 0.130808 | − | 0.226567i | ||||
\(485\) | −37.4038 | + | 15.1139i | −1.69842 | + | 0.686289i | ||||
\(486\) | 14.8494 | 0.673584 | ||||||||
\(487\) | 14.0202 | − | 8.09457i | 0.635316 | − | 0.366800i | −0.147492 | − | 0.989063i | \(-0.547120\pi\) |
0.782808 | + | 0.622263i | \(0.213787\pi\) | |||||||
\(488\) | 0.746276 | − | 0.430862i | 0.0337823 | − | 0.0195042i | ||||
\(489\) | 4.87601 | 0.220501 | ||||||||
\(490\) | 3.59666 | − | 1.45332i | 0.162480 | − | 0.0656543i | ||||
\(491\) | −13.1318 | + | 22.7450i | −0.592631 | + | 1.02647i | 0.401246 | + | 0.915970i | \(0.368577\pi\) |
−0.993877 | + | 0.110496i | \(0.964756\pi\) | |||||||
\(492\) | 1.82013 | + | 1.05086i | 0.0820580 | + | 0.0473762i | ||||
\(493\) | 55.9911i | 2.52171i | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −0.607926 | − | 0.0854124i | −0.0273242 | − | 0.00383900i | ||||
\(496\) | 7.47404 | − | 12.9454i | 0.335595 | − | 0.581267i | ||||
\(497\) | −15.2891 | − | 8.82717i | −0.685810 | − | 0.395953i | ||||
\(498\) | −13.1337 | + | 7.58274i | −0.588534 | + | 0.339791i | ||||
\(499\) | 30.0306 | 1.34435 | 0.672177 | − | 0.740391i | \(-0.265359\pi\) | ||||
0.672177 | + | 0.740391i | \(0.265359\pi\) | |||||||
\(500\) | −0.614782 | − | 5.84220i | −0.0274939 | − | 0.261271i | ||||
\(501\) | −4.61285 | − | 7.98969i | −0.206087 | − | 0.356953i | ||||
\(502\) | 2.51744i | 0.112359i | ||||||||
\(503\) | 14.4889 | − | 8.36519i | 0.646030 | − | 0.372985i | −0.140904 | − | 0.990023i | \(-0.545001\pi\) |
0.786933 | + | 0.617038i | \(0.211667\pi\) | |||||||
\(504\) | −5.70249 | + | 9.87700i | −0.254009 | + | 0.439957i | ||||
\(505\) | −5.42345 | + | 6.94229i | −0.241340 | + | 0.308928i | ||||
\(506\) | −1.22030 | −0.0542488 | ||||||||
\(507\) | 0 | 0 | ||||||||
\(508\) | − | 1.20940i | − | 0.0536583i | ||||||
\(509\) | 5.98418 | − | 10.3649i | 0.265244 | − | 0.459416i | −0.702383 | − | 0.711799i | \(-0.747881\pi\) |
0.967628 | + | 0.252383i | \(0.0812141\pi\) | |||||||
\(510\) | 18.0352 | + | 14.0895i | 0.798614 | + | 0.623892i | ||||
\(511\) | 14.9240 | + | 25.8490i | 0.660197 | + | 1.14349i | ||||
\(512\) | 24.1131i | 1.06566i | ||||||||
\(513\) | 10.7635 | − | 6.21432i | 0.475221 | − | 0.274369i | ||||
\(514\) | −11.1699 | − | 19.3469i | −0.492684 | − | 0.853354i | ||||
\(515\) | −0.878023 | + | 6.24935i | −0.0386903 | + | 0.275379i | ||||
\(516\) | 2.19135 | + | 3.79554i | 0.0964689 | + | 0.167089i | ||||
\(517\) | 0.203571 | + | 0.117532i | 0.00895303 | + | 0.00516904i | ||||
\(518\) | −6.96413 | − | 4.02074i | −0.305986 | − | 0.176661i | ||||
\(519\) | −0.949145 | −0.0416628 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 5.75065 | 0.251940 | 0.125970 | − | 0.992034i | \(-0.459796\pi\) | ||||
0.125970 | + | 0.992034i | \(0.459796\pi\) | |||||||
\(522\) | −11.7331 | − | 6.77409i | −0.513542 | − | 0.296494i | ||||
\(523\) | −18.0164 | − | 10.4018i | −0.787801 | − | 0.454837i | 0.0513870 | − | 0.998679i | \(-0.483636\pi\) |
−0.839188 | + | 0.543842i | \(0.816969\pi\) | |||||||
\(524\) | 3.52543 | + | 6.10622i | 0.154009 | + | 0.266751i | ||||
\(525\) | −18.2953 | − | 5.24443i | −0.798472 | − | 0.228886i | ||||
\(526\) | 6.69434 | + | 11.5949i | 0.291887 | + | 0.505563i | ||||
\(527\) | −31.1333 | + | 17.9748i | −1.35619 | + | 0.782995i | ||||
\(528\) | 0.751123i | 0.0326884i | ||||||||
\(529\) | −0.507145 | − | 0.878401i | −0.0220498 | − | 0.0381913i | ||||
\(530\) | 10.4226 | − | 13.3415i | 0.452730 | − | 0.579519i | ||||
\(531\) | 5.93433 | − | 10.2786i | 0.257528 | − | 0.446051i | ||||
\(532\) | 3.37778i | 0.146446i | ||||||||
\(533\) | 0 | 0 | ||||||||
\(534\) | −8.93624 | −0.386709 | ||||||||
\(535\) | 30.1629 | + | 23.5638i | 1.30405 | + | 1.01875i | ||||
\(536\) | 11.8995 | − | 20.6105i | 0.513978 | − | 0.890237i | ||||
\(537\) | 4.58892 | − | 2.64941i | 0.198026 | − | 0.114331i | ||||
\(538\) | − | 19.6030i | − | 0.845145i | ||||||
\(539\) | −0.153093 | − | 0.265165i | −0.00659417 | − | 0.0114214i | ||||
\(540\) | 6.11420 | − | 2.47059i | 0.263113 | − | 0.106317i | ||||
\(541\) | −16.6222 | −0.714645 | −0.357322 | − | 0.933981i | \(-0.616310\pi\) | ||||
−0.357322 | + | 0.933981i | \(0.616310\pi\) | |||||||
\(542\) | 13.6832 | − | 7.89999i | 0.587743 | − | 0.339333i | ||||
\(543\) | −2.65834 | − | 1.53480i | −0.114080 | − | 0.0658644i | ||||
\(544\) | 9.28100 | − | 16.0752i | 0.397919 | − | 0.689217i | ||||
\(545\) | −37.0321 | − | 5.20294i | −1.58628 | − | 0.222870i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | − | 29.9748i | − | 1.28163i | −0.767695 | − | 0.640815i | \(-0.778596\pi\) | ||
0.767695 | − | 0.640815i | \(-0.221404\pi\) | |||||||
\(548\) | −8.71506 | − | 5.03164i | −0.372289 | − | 0.214941i | ||||
\(549\) | 0.179978 | − | 0.311730i | 0.00768126 | − | 0.0133043i | ||||
\(550\) | 1.26258 | − | 0.314910i | 0.0538368 | − | 0.0134278i | ||||
\(551\) | −19.2859 | −0.821608 | ||||||||
\(552\) | 16.3270 | − | 9.42642i | 0.694925 | − | 0.401215i | ||||
\(553\) | 35.7906 | − | 20.6637i | 1.52197 | − | 0.878710i | ||||
\(554\) | 9.19405 | 0.390618 | ||||||||
\(555\) | 2.50535 | + | 6.20021i | 0.106346 | + | 0.263184i | ||||
\(556\) | 5.01582 | − | 8.68766i | 0.212718 | − | 0.368439i | ||||
\(557\) | −4.36179 | − | 2.51828i | −0.184815 | − | 0.106703i | 0.404738 | − | 0.914433i | \(-0.367363\pi\) |
−0.589553 | + | 0.807730i | \(0.700696\pi\) | |||||||
\(558\) | − | 8.69874i | − | 0.368247i | ||||||
\(559\) | 0 | 0 | ||||||||
\(560\) | 2.41435 | − | 17.1842i | 0.102025 | − | 0.726165i | ||||
\(561\) | 0.903212 | − | 1.56441i | 0.0381336 | − | 0.0660494i | ||||
\(562\) | −7.10437 | − | 4.10171i | −0.299680 | − | 0.173020i | ||||
\(563\) | −2.49629 | + | 1.44123i | −0.105206 | + | 0.0607408i | −0.551680 | − | 0.834056i | \(-0.686013\pi\) |
0.446474 | + | 0.894797i | \(0.352680\pi\) | |||||||
\(564\) | −0.755569 | −0.0318152 | ||||||||
\(565\) | 2.45511 | − | 0.992050i | 0.103287 | − | 0.0417358i | ||||
\(566\) | 11.5882 | + | 20.0713i | 0.487088 | + | 0.843661i | ||||
\(567\) | − | 10.2079i | − | 0.428690i | ||||||
\(568\) | −16.1500 | + | 9.32418i | −0.677637 | + | 0.391234i | ||||
\(569\) | −2.18643 | + | 3.78701i | −0.0916600 | + | 0.158760i | −0.908210 | − | 0.418515i | \(-0.862551\pi\) |
0.816550 | + | 0.577275i | \(0.195884\pi\) | |||||||
\(570\) | −4.85306 | + | 6.21217i | −0.203272 | + | 0.260199i | ||||
\(571\) | −1.58120 | −0.0661714 | −0.0330857 | − | 0.999453i | \(-0.510533\pi\) | ||||
−0.0330857 | + | 0.999453i | \(0.510533\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | − | 2.75557i | − | 0.115116i | ||||||
\(574\) | 5.37778 | − | 9.31460i | 0.224464 | − | 0.388784i | ||||
\(575\) | −16.2873 | − | 16.8632i | −0.679227 | − | 0.703243i | ||||
\(576\) | 5.66992 | + | 9.82059i | 0.236247 | + | 0.409191i | ||||
\(577\) | 7.61729i | 0.317112i | 0.987350 | + | 0.158556i | \(0.0506839\pi\) | ||||
−0.987350 | + | 0.158556i | \(0.949316\pi\) | |||||||
\(578\) | 25.5835 | − | 14.7706i | 1.06413 | − | 0.614377i | ||||
\(579\) | −8.86373 | − | 15.3524i | −0.368364 | − | 0.638025i | ||||
\(580\) | −10.1334 | − | 1.42372i | −0.420765 | − | 0.0591166i | ||||
\(581\) | −13.8272 | − | 23.9494i | −0.573648 | − | 0.993587i | ||||
\(582\) | 24.8756 | + | 14.3620i | 1.03113 | + | 0.595323i | ||||
\(583\) | −1.15727 | − | 0.668149i | −0.0479291 | − | 0.0276719i | ||||
\(584\) | 31.5285 | 1.30466 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −9.82071 | −0.405690 | ||||||||
\(587\) | −40.5510 | − | 23.4121i | −1.67372 | − | 0.966322i | −0.965528 | − | 0.260301i | \(-0.916178\pi\) |
−0.708191 | − | 0.706021i | \(-0.750488\pi\) | |||||||
\(588\) | 0.852324 | + | 0.492089i | 0.0351492 | + | 0.0202934i | ||||
\(589\) | −6.19135 | − | 10.7237i | −0.255110 | − | 0.441864i | ||||
\(590\) | −3.50024 | + | 24.9131i | −0.144103 | + | 1.02565i | ||||
\(591\) | 1.31111 | + | 2.27091i | 0.0539318 | + | 0.0934126i | ||||
\(592\) | −5.28039 | + | 3.04863i | −0.217023 | + | 0.125298i | ||||
\(593\) | − | 15.9398i | − | 0.654568i | −0.944926 | − | 0.327284i | \(-0.893867\pi\) | ||
0.944926 | − | 0.327284i | \(-0.106133\pi\) | |||||||
\(594\) | 0.730379 | + | 1.26505i | 0.0299678 | + | 0.0519058i | ||||
\(595\) | −25.6922 | + | 32.8874i | −1.05328 | + | 1.34825i | ||||
\(596\) | 0.938246 | − | 1.62509i | 0.0384320 | − | 0.0665662i | ||||
\(597\) | − | 29.0321i | − | 1.18821i | ||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −18.4889 | −0.755434 | −0.377717 | − | 0.925921i | \(-0.623291\pi\) | ||||
−0.377717 | + | 0.925921i | \(0.623291\pi\) | |||||||
\(600\) | −14.4602 | + | 13.9664i | −0.590337 | + | 0.570177i | ||||
\(601\) | −10.3778 | + | 17.9748i | −0.423319 | + | 0.733209i | −0.996262 | − | 0.0863857i | \(-0.972468\pi\) |
0.572943 | + | 0.819595i | \(0.305802\pi\) | |||||||
\(602\) | 19.4238 | − | 11.2143i | 0.791654 | − | 0.457062i | ||||
\(603\) | − | 9.94116i | − | 0.404835i | ||||||
\(604\) | −0.332379 | − | 0.575697i | −0.0135243 | − | 0.0234248i | ||||
\(605\) | 9.17658 | + | 22.7101i | 0.373081 | + | 0.923297i | ||||
\(606\) | 6.27254 | 0.254804 | ||||||||
\(607\) | 31.2432 | − | 18.0383i | 1.26812 | − | 0.732150i | 0.293489 | − | 0.955962i | \(-0.405183\pi\) |
0.974632 | + | 0.223812i | \(0.0718501\pi\) | |||||||
\(608\) | 5.53703 | + | 3.19680i | 0.224556 | + | 0.129647i | ||||
\(609\) | −16.5763 | + | 28.7110i | −0.671705 | + | 1.16343i | ||||
\(610\) | −0.106156 | + | 0.755569i | −0.00429813 | + | 0.0305921i | ||||
\(611\) | 0 | 0 | ||||||||
\(612\) | − | 4.32693i | − | 0.174906i | ||||||
\(613\) | −8.61662 | − | 4.97481i | −0.348022 | − | 0.200931i | 0.315792 | − | 0.948829i | \(-0.397730\pi\) |
−0.663814 | + | 0.747898i | \(0.731063\pi\) | |||||||
\(614\) | −8.15632 | + | 14.1272i | −0.329162 | + | 0.570126i | ||||
\(615\) | −8.29284 | + | 3.35093i | −0.334400 | + | 0.135123i | ||||
\(616\) | −1.90813 | −0.0768809 | ||||||||
\(617\) | −1.81161 | + | 1.04593i | −0.0729326 | + | 0.0421077i | −0.536023 | − | 0.844203i | \(-0.680074\pi\) |
0.463090 | + | 0.886311i | \(0.346741\pi\) | |||||||
\(618\) | 3.89132 | − | 2.24665i | 0.156532 | − | 0.0903737i | ||||
\(619\) | 18.4681 | 0.742296 | 0.371148 | − | 0.928574i | \(-0.378964\pi\) | ||||
0.371148 | + | 0.928574i | \(0.378964\pi\) | |||||||
\(620\) | −2.46146 | − | 6.09160i | −0.0988548 | − | 0.244645i | ||||
\(621\) | 13.1590 | − | 22.7921i | 0.528053 | − | 0.914615i | ||||
\(622\) | 21.2466 | + | 12.2667i | 0.851909 | + | 0.491850i | ||||
\(623\) | − | 16.2953i | − | 0.652857i | ||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 21.2034 | + | 13.2444i | 0.848137 | + | 0.529777i | ||||
\(626\) | 9.17484 | − | 15.8913i | 0.366700 | − | 0.635144i | ||||
\(627\) | 0.538855 | + | 0.311108i | 0.0215198 | + | 0.0124244i | ||||
\(628\) | 2.55403 | − | 1.47457i | 0.101917 | − | 0.0588418i | ||||
\(629\) | 14.6637 | 0.584680 | ||||||||
\(630\) | −3.78325 | − | 9.36274i | −0.150728 | − | 0.373021i | ||||
\(631\) | −19.3329 | − | 33.4855i | −0.769629 | − | 1.33304i | −0.937764 | − | 0.347272i | \(-0.887108\pi\) |
0.168136 | − | 0.985764i | \(-0.446225\pi\) | |||||||
\(632\) | − | 43.6543i | − | 1.73648i | ||||||
\(633\) | 22.3166 | − | 12.8845i | 0.887004 | − | 0.512112i | ||||
\(634\) | 13.5281 | − | 23.4314i | 0.537271 | − | 0.930580i | ||||
\(635\) | 4.05590 | + | 3.16855i | 0.160954 | + | 0.125740i | ||||
\(636\) | 4.29529 | 0.170319 | ||||||||
\(637\) | 0 | 0 | ||||||||
\(638\) | − | 2.26671i | − | 0.0897398i | ||||||
\(639\) | −3.89485 | + | 6.74607i | −0.154078 | + | 0.266871i | ||||
\(640\) | −8.76613 | − | 6.84826i | −0.346512 | − | 0.270701i | ||||
\(641\) | −12.2859 | − | 21.2798i | −0.485265 | − | 0.840503i | 0.514592 | − | 0.857435i | \(-0.327943\pi\) |
−0.999857 | + | 0.0169322i | \(0.994610\pi\) | |||||||
\(642\) | − | 27.2529i | − | 1.07559i | ||||||
\(643\) | 23.8103 | − | 13.7469i | 0.938987 | − | 0.542125i | 0.0493445 | − | 0.998782i | \(-0.484287\pi\) |
0.889643 | + | 0.456657i | \(0.150953\pi\) | |||||||
\(644\) | 3.57628 | + | 6.19430i | 0.140925 | + | 0.244090i | ||||
\(645\) | −18.4701 | − | 2.59502i | −0.727261 | − | 0.102179i | ||||
\(646\) | 8.64296 | + | 14.9700i | 0.340053 | + | 0.588989i | ||||
\(647\) | −11.9349 | − | 6.89062i | −0.469209 | − | 0.270898i | 0.246699 | − | 0.969092i | \(-0.420654\pi\) |
−0.715909 | + | 0.698194i | \(0.753987\pi\) | |||||||
\(648\) | −9.33802 | − | 5.39131i | −0.366832 | − | 0.211791i | ||||
\(649\) | 1.98571 | 0.0779459 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −21.2859 | −0.834261 | ||||||||
\(652\) | 1.69227 | + | 0.977034i | 0.0662745 | + | 0.0382636i | ||||
\(653\) | −1.83636 | − | 1.06022i | −0.0718623 | − | 0.0414897i | 0.463638 | − | 0.886025i | \(-0.346544\pi\) |
−0.535501 | + | 0.844535i | \(0.679877\pi\) | |||||||
\(654\) | 13.3131 | + | 23.0590i | 0.520584 | + | 0.901678i | ||||
\(655\) | −29.7146 | − | 4.17484i | −1.16104 | − | 0.163125i | ||||
\(656\) | −4.07758 | − | 7.06257i | −0.159203 | − | 0.275747i | ||||
\(657\) | 11.4055 | − | 6.58496i | 0.444970 | − | 0.256904i | ||||
\(658\) | 3.86665i | 0.150738i | ||||||||
\(659\) | 16.9447 | + | 29.3491i | 0.660072 | + | 1.14328i | 0.980596 | + | 0.196038i | \(0.0628075\pi\) |
−0.320525 | + | 0.947240i | \(0.603859\pi\) | |||||||
\(660\) | 0.260163 | + | 0.203244i | 0.0101268 | + | 0.00791125i | ||||
\(661\) | −18.6844 | + | 32.3624i | −0.726741 | + | 1.25875i | 0.231513 | + | 0.972832i | \(0.425632\pi\) |
−0.958253 | + | 0.285920i | \(0.907701\pi\) | |||||||
\(662\) | 10.0252i | 0.389640i | ||||||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −29.2114 | −1.13362 | ||||||||
\(665\) | −11.3279 | − | 8.84958i | −0.439278 | − | 0.343172i | ||||
\(666\) | −1.77409 | + | 3.07281i | −0.0687446 | + | 0.119069i | ||||
\(667\) | −35.3672 | + | 20.4193i | −1.36942 | + | 0.790637i | ||||
\(668\) | − | 3.69721i | − | 0.143049i | ||||||
\(669\) | 12.8938 | + | 22.3328i | 0.498505 | + | 0.863436i | ||||
\(670\) | 7.89456 | + | 19.5374i | 0.304993 | + | 0.754794i | ||||
\(671\) | 0.0602231 | 0.00232489 | ||||||||
\(672\) | 9.51817 | − | 5.49532i | 0.367171 | − | 0.211986i | ||||
\(673\) | −30.7099 | − | 17.7304i | −1.18378 | − | 0.683456i | −0.226894 | − | 0.973919i | \(-0.572857\pi\) |
−0.956886 | + | 0.290463i | \(0.906191\pi\) | |||||||
\(674\) | 8.34614 | − | 14.4559i | 0.321481 | − | 0.556822i | ||||
\(675\) | −7.73329 | + | 26.9777i | −0.297655 | + | 1.03837i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 15.3047i | 0.588206i | 0.955774 | + | 0.294103i | \(0.0950208\pi\) | ||||
−0.955774 | + | 0.294103i | \(0.904979\pi\) | |||||||
\(678\) | −1.63279 | − | 0.942691i | −0.0627069 | − | 0.0362038i | ||||
\(679\) | −26.1891 | + | 45.3609i | −1.00505 | + | 1.74079i | ||||
\(680\) | 16.5155 | + | 40.8724i | 0.633342 | + | 1.56739i | ||||
\(681\) | −17.4005 | −0.666790 | ||||||||
\(682\) | 1.26038 | − | 0.727680i | 0.0482624 | − | 0.0278643i | ||||
\(683\) | −11.3422 | + | 6.54839i | −0.433995 | + | 0.250567i | −0.701047 | − | 0.713115i | \(-0.747284\pi\) |
0.267052 | + | 0.963682i | \(0.413950\pi\) | |||||||
\(684\) | 1.49039 | 0.0569866 | ||||||||
\(685\) | 39.7073 | − | 16.0447i | 1.51714 | − | 0.613038i | ||||
\(686\) | −9.82071 | + | 17.0100i | −0.374957 | + | 0.649444i | ||||
\(687\) | 2.75761 | + | 1.59210i | 0.105209 | + | 0.0607426i | ||||
\(688\) | − | 17.0060i | − | 0.648347i | ||||||
\(689\) | 0 | 0 | ||||||||
\(690\) | −2.32248 | + | 16.5303i | −0.0884154 | + | 0.629300i | ||||
\(691\) | −9.20395 | + | 15.9417i | −0.350135 | + | 0.606451i | −0.986273 | − | 0.165124i | \(-0.947198\pi\) |
0.636138 | + | 0.771575i | \(0.280531\pi\) | |||||||
\(692\) | −0.329411 | − | 0.190185i | −0.0125223 | − | 0.00722976i | ||||
\(693\) | −0.690271 | + | 0.398528i | −0.0262212 | + | 0.0151388i | ||||
\(694\) | 1.48055 | 0.0562009 | ||||||||
\(695\) | 15.9943 | + | 39.5825i | 0.606698 | + | 1.50145i | ||||
\(696\) | 17.5096 | + | 30.3275i | 0.663700 | + | 1.14956i | ||||
\(697\) | 19.6128i | 0.742890i | ||||||||
\(698\) | −23.6739 | + | 13.6681i | −0.896071 | + | 0.517347i | ||||
\(699\) | −10.6035 | + | 18.3658i | −0.401060 | + | 0.694657i | ||||
\(700\) | −5.29871 | − | 5.48606i | −0.200273 | − | 0.207354i | ||||
\(701\) | −31.3689 | −1.18479 | −0.592393 | − | 0.805649i | \(-0.701817\pi\) | ||||
−0.592393 | + | 0.805649i | \(0.701817\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 5.05086i | 0.190497i | ||||||||
\(704\) | −0.948617 | + | 1.64305i | −0.0357524 | + | 0.0619249i | ||||
\(705\) | 1.97954 | − | 2.53392i | 0.0745539 | − | 0.0954329i | ||||
\(706\) | 8.67085 | + | 15.0183i | 0.326332 | + | 0.565223i | ||||
\(707\) | 11.4380i | 0.430171i | ||||||||
\(708\) | −5.52759 | + | 3.19135i | −0.207739 | + | 0.119938i | ||||
\(709\) | −4.73975 | − | 8.20948i | −0.178005 | − | 0.308314i | 0.763192 | − | 0.646172i | \(-0.223631\pi\) |
−0.941197 | + | 0.337858i | \(0.890298\pi\) | |||||||
\(710\) | 2.29729 | − | 16.3511i | 0.0862159 | − | 0.613644i | ||||
\(711\) | −9.11753 | − | 15.7920i | −0.341934 | − | 0.592247i | ||||
\(712\) | −14.9067 | − | 8.60639i | −0.558653 | − | 0.322538i | ||||
\(713\) | −22.7079 | − | 13.1104i | −0.850416 | − | 0.490988i | ||||
\(714\) | 29.7146 | 1.11204 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 2.12351 | 0.0793592 | ||||||||
\(717\) | 14.5069 | + | 8.37556i | 0.541770 | + | 0.312791i | ||||
\(718\) | −12.7816 | − | 7.37948i | −0.477006 | − | 0.275400i | ||||
\(719\) | −14.8113 | − | 25.6540i | −0.552370 | − | 0.956733i | −0.998103 | − | 0.0615669i | \(-0.980390\pi\) |
0.445733 | − | 0.895166i | \(-0.352943\pi\) | |||||||
\(720\) | −7.58226 | − | 1.06529i | −0.282574 | − | 0.0397011i | ||||
\(721\) | 4.09679 | + | 7.09585i | 0.152572 | + | 0.264263i | ||||
\(722\) | 14.8246 | − | 8.55900i | 0.551716 | − | 0.318533i | ||||
\(723\) | 7.73329i | 0.287604i | ||||||||
\(724\) | −0.615071 | − | 1.06533i | −0.0228589 | − | 0.0395928i | ||||
\(725\) | 31.3234 | − | 30.2537i | 1.16332 | − | 1.12360i | ||||
\(726\) | 8.72001 | − | 15.1035i | 0.323630 | − | 0.560543i | ||||
\(727\) | 42.6702i | 1.58255i | 0.611461 | + | 0.791274i | \(0.290582\pi\) | ||||
−0.611461 | + | 0.791274i | \(0.709418\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −26.5812 | −0.984489 | ||||||||
\(730\) | −17.1859 | + | 21.9988i | −0.636078 | + | 0.814213i | ||||
\(731\) | −20.4494 | + | 35.4194i | −0.756348 | + | 1.31003i | ||||
\(732\) | −0.167642 | + | 0.0967881i | −0.00619622 | + | 0.00357739i | ||||
\(733\) | 26.0830i | 0.963397i | 0.876337 | + | 0.481698i | \(0.159980\pi\) | ||||
−0.876337 | + | 0.481698i | \(0.840020\pi\) | |||||||
\(734\) | 2.82769 | + | 4.89771i | 0.104372 | + | 0.180778i | ||||
\(735\) | −3.88333 | + | 1.56916i | −0.143239 | + | 0.0578792i | ||||
\(736\) | 13.5387 | 0.499042 | ||||||||
\(737\) | 1.44040 | − | 0.831613i | 0.0530577 | − | 0.0306329i | ||||
\(738\) | −4.10992 | − | 2.37286i | −0.151288 | − | 0.0873463i | ||||
\(739\) | 14.1344 | − | 24.4814i | 0.519941 | − | 0.900564i | −0.479791 | − | 0.877383i | \(-0.659287\pi\) |
0.999731 | − | 0.0231807i | \(-0.00737931\pi\) | |||||||
\(740\) | −0.372862 | + | 2.65386i | −0.0137067 | + | 0.0975578i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | − | 21.9813i | − | 0.806958i | ||||||
\(743\) | −17.8991 | − | 10.3341i | −0.656656 | − | 0.379120i | 0.134346 | − | 0.990935i | \(-0.457107\pi\) |
−0.791002 | + | 0.611814i | \(0.790440\pi\) | |||||||
\(744\) | −11.2422 | + | 19.4721i | −0.412159 | + | 0.713881i | ||||
\(745\) | 2.99185 | + | 7.40418i | 0.109613 | + | 0.271268i | ||||
\(746\) | −42.4286 | −1.55342 | ||||||||
\(747\) | −10.5673 | + | 6.10102i | −0.386636 | + | 0.223225i | ||||
\(748\) | 0.626938 | − | 0.361963i | 0.0229231 | − | 0.0132347i | ||||
\(749\) | 49.6958 | 1.81585 | ||||||||
\(750\) | −1.86286 | − | 17.7025i | −0.0680219 | − | 0.646405i | ||||
\(751\) | −1.23014 | + | 2.13067i | −0.0448885 | + | 0.0777491i | −0.887597 | − | 0.460621i | \(-0.847627\pi\) |
0.842708 | + | 0.538371i | \(0.180960\pi\) | |||||||
\(752\) | 2.53901 | + | 1.46590i | 0.0925880 | + | 0.0534557i | ||||
\(753\) | − | 2.71810i | − | 0.0990530i | ||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 2.80150 | + | 0.393606i | 0.101957 | + | 0.0143248i | ||||
\(756\) | 4.28100 | − | 7.41490i | 0.155698 | − | 0.269677i | ||||
\(757\) | 42.0918 | + | 24.3017i | 1.52985 | + | 0.883262i | 0.999367 | + | 0.0355687i | \(0.0113243\pi\) |
0.530487 | + | 0.847693i | \(0.322009\pi\) | |||||||
\(758\) | 18.3738 | − | 10.6081i | 0.667365 | − | 0.385303i | ||||
\(759\) | 1.31756 | 0.0478244 | ||||||||
\(760\) | −14.0784 | + | 5.68871i | −0.510676 | + | 0.206351i | ||||
\(761\) | −6.91258 | − | 11.9729i | −0.250581 | − | 0.434019i | 0.713105 | − | 0.701057i | \(-0.247288\pi\) |
−0.963686 | + | 0.267038i | \(0.913955\pi\) | |||||||
\(762\) | − | 3.66461i | − | 0.132755i | ||||||
\(763\) | −42.0482 | + | 24.2766i | −1.52225 | + | 0.878870i | ||||
\(764\) | 0.552148 | − | 0.956349i | 0.0199760 | − | 0.0345995i | ||||
\(765\) | 14.5110 | + | 11.3363i | 0.524647 | + | 0.409864i | ||||
\(766\) | −22.6811 | −0.819500 | ||||||||
\(767\) | 0 | 0 | ||||||||
\(768\) | − | 15.2924i | − | 0.551816i | ||||||
\(769\) | 19.4844 | − | 33.7480i | 0.702626 | − | 1.21698i | −0.264915 | − | 0.964272i | \(-0.585344\pi\) |
0.967541 | − | 0.252712i | \(-0.0813226\pi\) | |||||||
\(770\) | 1.04011 | − | 1.33139i | 0.0374828 | − | 0.0479800i | ||||
\(771\) | 12.0602 | + | 20.8889i | 0.434338 | + | 0.752296i | ||||
\(772\) | − | 7.10430i | − | 0.255689i | ||||||
\(773\) | −0.386241 | + | 0.222996i | −0.0138921 | + | 0.00802061i | −0.506930 | − | 0.861987i | \(-0.669220\pi\) |
0.493038 | + | 0.870008i | \(0.335886\pi\) | |||||||
\(774\) | −4.94814 | − | 8.57043i | −0.177857 | − | 0.308058i | ||||
\(775\) | 26.8780 | + | 7.70471i | 0.965487 | + | 0.276761i | ||||
\(776\) | 27.6637 | + | 47.9149i | 0.993069 | + | 1.72005i | ||||
\(777\) | 7.51921 | + | 4.34122i | 0.269750 | + | 0.155740i | ||||
\(778\) | −1.69612 | − | 0.979256i | −0.0608089 | − | 0.0351080i | ||||
\(779\) | −6.75557 | −0.242043 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −1.30327 | −0.0466347 | ||||||||
\(782\) | 31.6995 | + | 18.3017i | 1.13357 | + | 0.654469i | ||||
\(783\) | 42.3364 | + | 24.4429i | 1.51298 | + | 0.873519i | ||||
\(784\) | −1.90943 | − | 3.30722i | −0.0681938 | − | 0.118115i | ||||
\(785\) | −1.74620 | + | 12.4286i | −0.0623246 | + | 0.443597i | ||||
\(786\) | 10.6824 | + | 18.5025i | 0.381030 | + | 0.659963i | ||||
\(787\) | 29.3615 | − | 16.9518i | 1.04662 | − | 0.604268i | 0.124921 | − | 0.992167i | \(-0.460132\pi\) |
0.921702 | + | 0.387899i | \(0.126799\pi\) | |||||||
\(788\) | 1.05086i | 0.0374352i | ||||||||
\(789\) | −7.22792 | − | 12.5191i | −0.257321 | − | 0.445693i | ||||
\(790\) | 30.4596 | + | 23.7956i | 1.08370 | + | 0.846608i | ||||
\(791\) | 1.71900 | − | 2.97740i | 0.0611207 | − | 0.105864i | ||||
\(792\) | 0.841934i | 0.0299168i | ||||||||
\(793\) | 0 | 0 | ||||||||
\(794\) | −7.98571 | −0.283402 | ||||||||
\(795\) | −11.2534 | + | 14.4049i | −0.399116 | + | 0.510890i | ||||
\(796\) | 5.81732 | − | 10.0759i | 0.206190 | − | 0.357131i | ||||
\(797\) | 8.91598 | − | 5.14764i | 0.315820 | − | 0.182339i | −0.333708 | − | 0.942677i | \(-0.608300\pi\) |
0.649528 | + | 0.760338i | \(0.274967\pi\) | |||||||
\(798\) | 10.2351i | 0.362317i | ||||||||
\(799\) | −3.52543 | − | 6.10622i | −0.124721 | − | 0.216023i | ||||
\(800\) | −14.0078 | + | 3.49379i | −0.495251 | + | 0.123524i | ||||
\(801\) | −7.19004 | −0.254047 | ||||||||
\(802\) | −23.0393 | + | 13.3017i | −0.813546 | + | 0.469701i | ||||
\(803\) | 1.90822 | + | 1.10171i | 0.0673396 | + | 0.0388785i | ||||
\(804\) | −2.67307 | + | 4.62989i | −0.0942719 | + | 0.163284i | ||||
\(805\) | −30.1432 | − | 4.23506i | −1.06241 | − | 0.149266i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 21.1655i | 0.745060i | ||||||||
\(808\) | 10.4633 | + | 6.04101i | 0.368099 | + | 0.212522i | ||||
\(809\) | 3.97211 | − | 6.87990i | 0.139652 | − | 0.241884i | −0.787713 | − | 0.616043i | \(-0.788735\pi\) |
0.927365 | + | 0.374158i | \(0.122068\pi\) | |||||||
\(810\) | 8.85182 | − | 3.57680i | 0.311021 | − | 0.125676i | ||||
\(811\) | 8.12245 | 0.285218 | 0.142609 | − | 0.989779i | \(-0.454451\pi\) | ||||
0.142609 | + | 0.989779i | \(0.454451\pi\) | |||||||
\(812\) | −11.5059 | + | 6.64296i | −0.403779 | + | 0.233122i | ||||
\(813\) | −14.7738 | + | 8.52966i | −0.518140 | + | 0.299148i | ||||
\(814\) | −0.593635 | −0.0208069 | ||||||||
\(815\) | −7.71028 | + | 3.11553i | −0.270079 | + | 0.109132i | ||||
\(816\) | 11.2652 | − | 19.5119i | 0.394360 | − | 0.683052i | ||||
\(817\) | −12.2001 | − | 7.04371i | −0.426826 | − | 0.246428i | ||||
\(818\) | 12.3783i | 0.432796i | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −3.54956 | − | 0.498707i | −0.123956 | − | 0.0174156i | ||||
\(821\) | −11.1032 | + | 19.2314i | −0.387506 | + | 0.671180i | −0.992113 | − | 0.125344i | \(-0.959997\pi\) |
0.604608 | + | 0.796524i | \(0.293330\pi\) | |||||||
\(822\) | −26.4076 | − | 15.2464i | −0.921071 | − | 0.531781i | ||||
\(823\) | 9.62806 | − | 5.55877i | 0.335613 | − | 0.193766i | −0.322717 | − | 0.946495i | \(-0.604596\pi\) |
0.658330 | + | 0.752729i | \(0.271263\pi\) | |||||||
\(824\) | 8.65491 | 0.301508 | ||||||||
\(825\) | −1.36322 | + | 0.340010i | −0.0474612 | + | 0.0118376i | ||||
\(826\) | 16.3319 | + | 28.2876i | 0.568258 | + | 0.984251i | ||||
\(827\) | 23.1570i | 0.805248i | 0.915365 | + | 0.402624i | \(0.131902\pi\) | ||||
−0.915365 | + | 0.402624i | \(0.868098\pi\) | |||||||
\(828\) | 2.73314 | − | 1.57798i | 0.0949831 | − | 0.0548385i | ||||
\(829\) | −13.5598 | + | 23.4862i | −0.470950 | + | 0.815710i | −0.999448 | − | 0.0332250i | \(-0.989422\pi\) |
0.528498 | + | 0.848935i | \(0.322756\pi\) | |||||||
\(830\) | 15.9229 | − | 20.3821i | 0.552691 | − | 0.707473i | ||||
\(831\) | −9.92687 | −0.344359 | ||||||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 9.18421i | 0.318214i | ||||||||
\(834\) | 15.1985 | − | 26.3246i | 0.526281 | − | 0.911545i | ||||
\(835\) | 12.3992 | + | 9.68644i | 0.429090 | + | 0.335213i | ||||
\(836\) | 0.124677 | + | 0.215946i | 0.00431203 | + | 0.00746866i | ||||
\(837\) | 31.3876i | 1.08492i | ||||||||
\(838\) | 7.69538 | − | 4.44293i | 0.265832 | − | 0.153478i | ||||
\(839\) | −12.6977 | − | 21.9931i | −0.438374 | − | 0.759287i | 0.559190 | − | 0.829040i | \(-0.311112\pi\) |
−0.997564 | + | 0.0697528i | \(0.977779\pi\) | |||||||
\(840\) | −3.63158 | + | 25.8479i | −0.125302 | + | 0.891838i | ||||
\(841\) | −23.4289 | − | 40.5800i | −0.807892 | − | 1.39931i | ||||
\(842\) | 8.27282 | + | 4.77631i | 0.285100 | + | 0.164603i | ||||
\(843\) | 7.67063 | + | 4.42864i | 0.264190 | + | 0.152530i | ||||
\(844\) | 10.3269 | 0.355468 | ||||||||
\(845\) | 0 | 0 | ||||||||
\(846\) | 1.70610 | 0.0586568 | ||||||||
\(847\) | 27.5413 | + | 15.9010i | 0.946331 | + | 0.546364i | ||||
\(848\) | −14.4338 | − | 8.33338i | −0.495660 | − | 0.286170i | ||||
\(849\) | −12.5118 | − | 21.6711i | −0.429405 | − | 0.743751i | ||||
\(850\) | −37.5210 | − | 10.7556i | −1.28696 | − | 0.368913i | ||||
\(851\) | 5.34767 | + | 9.26244i | 0.183316 | + | 0.317512i | ||||
\(852\) | 3.62789 | − | 2.09457i | 0.124290 | − | 0.0717586i | ||||
\(853\) | − | 25.0651i | − | 0.858214i | −0.903254 | − | 0.429107i | \(-0.858828\pi\) | ||
0.903254 | − | 0.429107i | \(-0.141172\pi\) | |||||||
\(854\) | 0.495316 | + | 0.857913i | 0.0169494 | + | 0.0293572i | ||||
\(855\) | −3.90474 | + | 4.99827i | −0.133539 | + | 0.170937i | ||||
\(856\) | 26.2470 | − | 45.4611i | 0.897103 | − | 1.55383i | ||||
\(857\) | − | 7.61285i | − | 0.260050i | −0.991511 | − | 0.130025i | \(-0.958494\pi\) | ||
0.991511 | − | 0.130025i | \(-0.0415057\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −42.1432 | −1.43791 | −0.718954 | − | 0.695058i | \(-0.755379\pi\) | ||||
−0.718954 | + | 0.695058i | \(0.755379\pi\) | |||||||
\(860\) | −5.89027 | − | 4.60159i | −0.200857 | − | 0.156913i | ||||
\(861\) | −5.80642 | + | 10.0570i | −0.197882 | + | 0.342742i | ||||
\(862\) | −40.9290 | + | 23.6304i | −1.39405 | + | 0.804853i | ||||
\(863\) | − | 51.5768i | − | 1.75569i | −0.478942 | − | 0.877847i | \(-0.658980\pi\) | ||
0.478942 | − | 0.877847i | \(-0.341020\pi\) | |||||||
\(864\) | −8.10324 | − | 14.0352i | −0.275678 | − | 0.477488i | ||||
\(865\) | 1.50085 | − | 0.606456i | 0.0510305 | − | 0.0206201i | ||||
\(866\) | 24.5334 | 0.833679 | ||||||||
\(867\) | −27.6226 | + | 15.9479i | −0.938113 | + | 0.541620i | ||||
\(868\) | −7.38750 | − | 4.26517i | −0.250748 | − | 0.144769i | ||||
\(869\) | 1.52543 | − | 2.64212i | 0.0517466 | − | 0.0896277i | ||||
\(870\) | −30.7052 | − | 4.31402i | −1.04100 | − | 0.146259i | ||||
\(871\) | 0 | 0 | ||||||||
\(872\) | 51.2869i | 1.73679i | ||||||||
\(873\) | 20.0148 | + | 11.5555i | 0.677398 | + | 0.391096i | ||||
\(874\) | −6.30396 | + | 10.9188i | −0.213235 | + | 0.369333i | ||||
\(875\) | 32.2807 | − | 3.39693i | 1.09129 | − | 0.114837i | ||||
\(876\) | −7.08250 | −0.239295 | ||||||||
\(877\) | −29.5055 | + | 17.0350i | −0.996331 | + | 0.575232i | −0.907161 | − | 0.420784i | \(-0.861755\pi\) |
−0.0891706 | + | 0.996016i | \(0.528422\pi\) | |||||||
\(878\) | 11.4511 | − | 6.61132i | 0.386457 | − | 0.223121i | ||||
\(879\) | 10.6035 | 0.357646 | ||||||||
\(880\) | −0.479930 | − | 1.18773i | −0.0161784 | − | 0.0400382i | ||||
\(881\) | −1.85950 | + | 3.22075i | −0.0626482 | + | 0.108510i | −0.895648 | − | 0.444763i | \(-0.853288\pi\) |
0.833000 | + | 0.553273i | \(0.186621\pi\) | |||||||
\(882\) | −1.92457 | − | 1.11115i | −0.0648037 | − | 0.0374144i | ||||
\(883\) | − | 42.0163i | − | 1.41396i | −0.707233 | − | 0.706981i | \(-0.750057\pi\) | ||
0.707233 | − | 0.706981i | \(-0.249943\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 3.77923 | − | 26.8988i | 0.127037 | − | 0.904192i | ||||
\(886\) | −17.3822 | + | 30.1068i | −0.583966 | + | 1.01146i | ||||
\(887\) | −34.9109 | − | 20.1558i | −1.17219 | − | 0.676765i | −0.217996 | − | 0.975950i | \(-0.569952\pi\) |
−0.954195 | + | 0.299184i | \(0.903285\pi\) | |||||||
\(888\) | 7.94258 | − | 4.58565i | 0.266536 | − | 0.153884i | ||||
\(889\) | 6.68244 | 0.224122 | ||||||||
\(890\) | 14.1306 | − | 5.70981i | 0.473658 | − | 0.191393i | ||||
\(891\) | −0.376780 | − | 0.652603i | −0.0126226 | − | 0.0218630i | ||||
\(892\) | 10.3344i | 0.346023i | ||||||||
\(893\) | 2.10326 | − | 1.21432i | 0.0703830 | − | 0.0406357i | ||||
\(894\) | 2.84299 | − | 4.92420i | 0.0950838 | − | 0.164690i | ||||
\(895\) | −5.56346 | + | 7.12152i | −0.185966 | + | 0.238046i | ||||
\(896\) | −14.4429 | −0.482504 | ||||||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 13.2730i | 0.442926i | ||||||||
\(899\) | 24.3526 | − | 42.1799i | 0.812205 | − | 1.40678i | ||||
\(900\) | −2.42064 | + | 2.33797i | −0.0806879 | + | 0.0779325i | ||||
\(901\) | 20.0415 | + | 34.7129i | 0.667679 | + | 1.15645i | ||||
\(902\) | − | 0.793993i | − | 0.0264371i | ||||||
\(903\) | −20.9720 | + | 12.1082i | −0.697903 | + | 0.402934i | ||||
\(904\) | −1.81579 | − | 3.14504i | −0.0603923 | − | 0.104603i | ||||
\(905\) | 5.18421 | + | 0.728372i | 0.172329 | + | 0.0242119i | ||||
\(906\) | −1.00715 | − | 1.74443i | −0.0334602 | − | 0.0579547i | ||||
\(907\) | 30.1740 | + | 17.4210i | 1.00191 | + | 0.578454i | 0.908813 | − | 0.417203i | \(-0.136990\pi\) |
0.0930980 | + | 0.995657i | \(0.470323\pi\) | |||||||
\(908\) | −6.03904 | − | 3.48664i | −0.200412 | − | 0.115708i | ||||
\(909\) | 5.04684 | 0.167393 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 23.2672 | 0.770876 | 0.385438 | − | 0.922734i | \(-0.374050\pi\) | ||||
0.385438 | + | 0.922734i | \(0.374050\pi\) | |||||||
\(912\) | 6.72078 | + | 3.88025i | 0.222547 | + | 0.128488i | ||||
\(913\) | −1.76798 | − | 1.02074i | −0.0585116 | − | 0.0337817i | ||||
\(914\) | −6.92549 | − | 11.9953i | −0.229075 | − | 0.396769i | ||||
\(915\) | 0.114617 | − | 0.815792i | 0.00378913 | − | 0.0269692i | ||||
\(916\) | 0.638037 | + | 1.10511i | 0.0210813 | + | 0.0365139i | ||||
\(917\) | −33.7395 | + | 19.4795i | −1.11418 | + | 0.643270i | ||||
\(918\) | − | 43.8163i | − | 1.44615i | ||||||
\(919\) | −1.61285 | − | 2.79353i | −0.0532029 | − | 0.0921502i | 0.838197 | − | 0.545367i | \(-0.183610\pi\) |
−0.891400 | + | 0.453217i | \(0.850276\pi\) | |||||||
\(920\) | −19.7944 | + | 25.3378i | −0.652601 | + | 0.835364i | ||||
\(921\) | 8.80642 | − | 15.2532i | 0.290182 | − | 0.502609i | ||||
\(922\) | − | 31.7342i | − | 1.04511i | ||||||
\(923\) | 0 | 0 | ||||||||
\(924\) | 0.428639 | 0.0141012 | ||||||||
\(925\) | −7.92325 | − | 8.20339i | −0.260515 | − | 0.269726i | ||||
\(926\) | 4.81018 | − | 8.33147i | 0.158072 | − | 0.273789i | ||||
\(927\) | 3.13093 | − | 1.80764i | 0.102833 | − | 0.0593708i | ||||
\(928\) | 25.1481i | 0.825527i | ||||||||
\(929\) | 19.6731 | + | 34.0748i | 0.645453 | + | 1.11796i | 0.984197 | + | 0.177078i | \(0.0566645\pi\) |
−0.338744 | + | 0.940878i | \(0.610002\pi\) | |||||||
\(930\) | −7.45851 | − | 18.4582i | −0.244574 | − | 0.605269i | ||||
\(931\) | −3.16346 | −0.103678 | ||||||||
\(932\) | −7.36010 | + | 4.24935i | −0.241088 | + | 0.139192i | ||||
\(933\) | −22.9400 | − | 13.2444i | −0.751023 | − | 0.433603i | ||||
\(934\) | −6.61338 | + | 11.4547i | −0.216396 | + | 0.374809i | ||||
\(935\) | −0.428639 | + | 3.05086i | −0.0140180 | + | 0.0997736i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 51.6040i | 1.68583i | 0.538048 | + | 0.842914i | \(0.319162\pi\) | ||||
−0.538048 | + | 0.842914i | \(0.680838\pi\) | |||||||
\(938\) | 23.6936 | + | 13.6795i | 0.773624 | + | 0.446652i | ||||
\(939\) | −9.90613 | + | 17.1579i | −0.323274 | + | 0.559927i | ||||
\(940\) | 1.19476 | − | 0.482771i | 0.0389686 | − | 0.0157462i | ||||
\(941\) | −37.5081 | −1.22273 | −0.611364 | − | 0.791349i | \(-0.709379\pi\) | ||||
−0.611364 | + | 0.791349i | \(0.709379\pi\) | |||||||
\(942\) | 7.73901 | − | 4.46812i | 0.252151 | − | 0.145579i | ||||
\(943\) | −12.3886 | + | 7.15257i | −0.403429 | + | 0.232920i | ||||
\(944\) | 24.7665 | 0.806080 | ||||||||
\(945\) | 13.6511 | + | 33.7836i | 0.444070 | + | 1.09898i | ||||
\(946\) | 0.827859 | − | 1.43389i | 0.0269160 | − | 0.0466199i | ||||
\(947\) | −33.0094 | − | 19.0580i | −1.07266 | − | 0.619302i | −0.143755 | − | 0.989613i | \(-0.545918\pi\) |
−0.928908 | + | 0.370312i | \(0.879251\pi\) | |||||||
\(948\) | 9.80642i | 0.318498i | ||||||||
\(949\) | 0 | 0 | ||||||||
\(950\) | 3.70471 | − | 12.9240i | 0.120197 | − | 0.419308i | ||||
\(951\) | −14.6064 | + | 25.2990i | −0.473645 | + | 0.820377i | ||||
\(952\) | 49.5674 | + | 28.6178i | 1.60649 | + | 0.927507i | ||||
\(953\) | 24.8868 | − | 14.3684i | 0.806163 | − | 0.465439i | −0.0394584 | − | 0.999221i | \(-0.512563\pi\) |
0.845622 | + | 0.533783i | \(0.179230\pi\) | |||||||
\(954\) | −9.69888 | −0.314013 | ||||||||
\(955\) | 1.76067 | + | 4.35729i | 0.0569740 | + | 0.140999i | ||||
\(956\) | 3.35651 | + | 5.81365i | 0.108557 | + | 0.188027i | ||||
\(957\) | 2.44738i | 0.0791124i | ||||||||
\(958\) | 9.60331 | − | 5.54448i | 0.310269 | − | 0.179134i | ||||
\(959\) | 27.8020 | − | 48.1544i | 0.897773 | − | 1.55499i | ||||
\(960\) | 20.4517 | + | 15.9772i | 0.660075 | + | 0.515662i | ||||
\(961\) | 0.271628 | 0.00876221 | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | − | 21.9275i | − | 0.706604i | ||||||
\(964\) | −1.54956 | + | 2.68392i | −0.0499080 | + | 0.0864432i | ||||
\(965\) | 23.8254 | + | 18.6128i | 0.766966 | + | 0.599168i | ||||
\(966\) | 10.8365 | + | 18.7694i | 0.348660 | + | 0.603897i | ||||
\(967\) | − | 29.0593i | − | 0.934485i | −0.884129 | − | 0.467242i | \(-0.845248\pi\) | ||
0.884129 | − | 0.467242i | \(-0.154752\pi\) | |||||||
\(968\) | 29.0920 | − | 16.7963i | 0.935053 | − | 0.539853i | ||||
\(969\) | −9.33185 | − | 16.1632i | −0.299782 | − | 0.519238i | ||||
\(970\) | −48.5116 | − | 6.81579i | −1.55761 | − | 0.218842i | ||||
\(971\) | 19.9289 | + | 34.5178i | 0.639548 | + | 1.10773i | 0.985532 | + | 0.169489i | \(0.0542118\pi\) |
−0.345984 | + | 0.938240i | \(0.612455\pi\) | |||||||
\(972\) | −5.56443 | − | 3.21262i | −0.178479 | − | 0.103045i | ||||
\(973\) | 48.0030 | + | 27.7146i | 1.53891 | + | 0.888488i | ||||
\(974\) | 19.6588 | 0.629908 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 0.751123 | 0.0240429 | ||||||||
\(977\) | −11.1386 | − | 6.43086i | −0.356355 | − | 0.205742i | 0.311126 | − | 0.950369i | \(-0.399294\pi\) |
−0.667481 | + | 0.744627i | \(0.732627\pi\) | |||||||
\(978\) | 5.12777 | + | 2.96052i | 0.163968 | + | 0.0946670i | ||||
\(979\) | −0.601472 | − | 1.04178i | −0.0192231 | − | 0.0332954i | ||||
\(980\) | −1.66217 | − | 0.233532i | −0.0530961 | − | 0.00745991i | ||||
\(981\) | 10.7116 | + | 18.5531i | 0.341996 | + | 0.592355i | ||||
\(982\) | −27.6197 | + | 15.9462i | −0.881379 | + | 0.508865i | ||||
\(983\) | 45.4880i | 1.45084i | 0.688306 | + | 0.725420i | \(0.258355\pi\) | ||||
−0.688306 | + | 0.725420i | \(0.741645\pi\) | |||||||
\(984\) | 6.13335 | + | 10.6233i | 0.195524 | + | 0.338658i | ||||
\(985\) | −3.52421 | − | 2.75317i | −0.112291 | − | 0.0877234i | ||||
\(986\) | −33.9956 | + | 58.8820i | −1.08264 | + | 1.87519i | ||||
\(987\) | − | 4.17484i | − | 0.132887i | ||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −29.8306 | −0.948557 | ||||||||
\(990\) | −0.587455 | − | 0.458930i | −0.0186705 | − | 0.0145858i | ||||
\(991\) | −4.03503 | + | 6.98888i | −0.128177 | + | 0.222009i | −0.922970 | − | 0.384871i | \(-0.874246\pi\) |
0.794793 | + | 0.606880i | \(0.207579\pi\) | |||||||
\(992\) | −13.9834 | + | 8.07329i | −0.443972 | + | 0.256327i | ||||
\(993\) | − | 10.8243i | − | 0.343497i | ||||||
\(994\) | −10.7190 | − | 18.5659i | −0.339986 | − | 0.588873i | ||||
\(995\) | 18.5501 | + | 45.9075i | 0.588077 | + | 1.45537i | ||||
\(996\) | 6.56199 | 0.207925 | ||||||||
\(997\) | −28.4193 | + | 16.4079i | −0.900049 | + | 0.519643i | −0.877216 | − | 0.480096i | \(-0.840602\pi\) |
−0.0228326 | + | 0.999739i | \(0.507268\pi\) | |||||||
\(998\) | 31.5811 | + | 18.2334i | 0.999683 | + | 0.577167i | ||||
\(999\) | 6.40144 | − | 11.0876i | 0.202533 | − | 0.350797i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))